diff --git a/algorithms/Graph.ipynb b/algorithms/Graph.ipynb
index 566287557..809ac2c32 100644
--- a/algorithms/Graph.ipynb
+++ b/algorithms/Graph.ipynb
@@ -39,9 +39,7 @@
    "cell_type": "code",
    "execution_count": 52,
    "id": "1a17a18b",
-   "metadata": {
-    "scrolled": false
-   },
+   "metadata": {},
    "outputs": [
     {
      "data": {
@@ -812,7 +810,7 @@
    "name": "python",
    "nbconvert_exporter": "python",
    "pygments_lexer": "ipython3",
-   "version": "3.11.5"
+   "version": "3.12.3"
   }
  },
  "nbformat": 4,
diff --git a/cryptography/des_key_generation.ipynb b/cryptography/des_key_generation.ipynb
new file mode 100644
index 000000000..86f1a4725
--- /dev/null
+++ b/cryptography/des_key_generation.ipynb
@@ -0,0 +1,158 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "1057a613",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>.container{width:100%}</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%%HTML\n",
+    "<style>.container{width:100%}</style>"
+   ]
+  },
+  {
+   "cell_type": "markdown",
+   "id": "040e1454",
+   "metadata": {},
+   "source": [
+    "## Key generation for DES for 16 rounds"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "7bd02a30",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "['1B02EFFC7072',\n",
+       " '79AED9DBC9E5',\n",
+       " '55FC8A42CF99',\n",
+       " '72ADD6DB351D',\n",
+       " '7CEC07EB53A8',\n",
+       " '63A53E507B2F',\n",
+       " 'EC84B7F618BC',\n",
+       " 'F78A3AC13BFB',\n",
+       " 'E0DBEBEDE781',\n",
+       " 'B1F347BA464F',\n",
+       " '215FD3DED386',\n",
+       " '7571F59467E9',\n",
+       " '97C5D1FABA41',\n",
+       " '5F43B7F2E73A',\n",
+       " 'BF918D3D3F0A',\n",
+       " 'CB3D8B0E17F5']"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import random\n",
+    "def r64():\n",
+    "    r64 = ''\n",
+    "    for i in range(8):\n",
+    "        r = str(bin(random.randint(0,2**8)))[2:]\n",
+    "        if(len(r)<8):\n",
+    "            r = '0'*(8-len(r)) + r\n",
+    "        r64 +=r\n",
+    "    return r64\n",
+    "def hex2bin(hexa):\n",
+    "    binstr = bin(int(hexa,16))[2:]\n",
+    "    binstr = binstr.zfill(len(hexa)*4)\n",
+    "    return binstr\n",
+    "\n",
+    "def bin2hex(binary):\n",
+    "    binary = binary.zfill(len(binary) +( 4-len(binary)%4)%4)\n",
+    "    hexa = hex(int(binary,2))[2:].upper()\n",
+    "    return hexa\n",
+    "\n",
+    "\n",
+    "def key_gen(bit64):\n",
+    "    bit64 = '#'+bit64\n",
+    "    PC_1 = [57,49,41,33, 25,17,9,1,\n",
+    "            58,50,42,34, 26,18,10, \n",
+    "            2,59,51,43, 35,27,19,11,\n",
+    "            3,60,52,44, 36,63,55,47,\n",
+    "            39,31,23,15, 7,62,54,46,\n",
+    "            38,30,22,14, 6,61,53,45,\n",
+    "            37,29,21,13, 5,28,20,12,4]\n",
+    "    \n",
+    "    PC_2 = [14,17,11,24, 1,5,3,28,\n",
+    "            15,6,21,10, 23,19,12,4,\n",
+    "            26,8,16,7, 27,20,13,2, 41,52,31,37, 47,55,30,40,51,45,33,48, 44,49,39,56,34,53,46,42, 50,36,29,32]\n",
+    "    bit56 = ''\n",
+    "    for i in PC_1:\n",
+    "        bit56 +=bit64[i]\n",
+    "    L,R = bit56[:28],bit56[28:]\n",
+    "    round_keys = []\n",
+    "    ones = [1,2,9,16]\n",
+    "    for i in range(1,17):\n",
+    "        if(i in ones):\n",
+    "            l = L[1:]+L[:1]\n",
+    "            r = R[1:]+R[:1]\n",
+    "        else:\n",
+    "            l = L[2:]+L[:2]\n",
+    "            r = R[2:]+R[:2]\n",
+    "        k = '#'+l+r\n",
+    "        sub_key = ''\n",
+    "        for i in PC_2:\n",
+    "            sub_key += k[i]\n",
+    "        L,R = l,r\n",
+    "#         print(len(k),len(sub_key))\n",
+    "        round_keys.append(sub_key)\n",
+    "    return round_keys\n",
+    "\n",
+    "test = \"133457799BBCDFF1\"\n",
+    "subkeys = key_gen(hex2bin(test))\n",
+    "[bin2hex(i) for i in subkeys]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "64b7d8da",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/cryptography/extended_eucledian.ipynb b/cryptography/extended_eucledian.ipynb
new file mode 100644
index 000000000..a5de1fe8b
--- /dev/null
+++ b/cryptography/extended_eucledian.ipynb
@@ -0,0 +1,173 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "8561e0a7",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>.container{width:100%}</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%%HTML\n",
+    "<style>.container{width:100%}</style>"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "12f36b2f",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "21"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def eucld_gcd(a,b):\n",
+    "    if(a < b):\n",
+    "        a , b = b , a\n",
+    "    if(b==0):\n",
+    "        return a\n",
+    "    r = a%b\n",
+    "    if(r==0):\n",
+    "        return b\n",
+    "    return eucld_gcd(b,r)\n",
+    "eucld_gcd(252,105)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "c060ee17",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[1, -48]"
+      ]
+     },
+     "execution_count": 3,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "import numpy as np\n",
+    "def ext_eucld(a,b):\n",
+    "    swap = False\n",
+    "    if(a < b):\n",
+    "            a , b = b , a\n",
+    "            swap = True\n",
+    "    def eucld(a,b):\n",
+    "        if(b==0 or b==1):\n",
+    "            return []\n",
+    "        ls = []\n",
+    "        while b!=1:\n",
+    "            r = a%b\n",
+    "            if(r==0):\n",
+    "                return ls\n",
+    "            idx = (a-r)//b\n",
+    "            ls.append(idx)\n",
+    "            a = b\n",
+    "            b = r\n",
+    "        return ls\n",
+    "    \n",
+    "    row = np.array([[1,0],[0,1]])\n",
+    "    ls = eucld(a,b)\n",
+    "    for i in ls:\n",
+    "        row = np.append(row, [row[-2] - i*row[-1]] ,axis=0)\n",
+    "    if(swap):\n",
+    "        return list(row[-1])[::-1]\n",
+    "    return list(row[-1])\n",
+    "ext_eucld(97,2)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "d3edd1f6",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "a=5, b=7, gcd=1, m=3, n=-2, ma+nb=1\n"
+     ]
+    }
+   ],
+   "source": [
+    "a = 5\n",
+    "b = 7\n",
+    "gcd = eucld_gcd(a,b)\n",
+    "m,n = ext_eucld(a,b)\n",
+    "print(f\"a={a}, b={b}, gcd={gcd}, m={m}, n={n}, ma+nb={m*a+n*b}\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "782bb8d3",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "e224063e",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "63f1d5a4",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/cryptography/galois_field.ipynb b/cryptography/galois_field.ipynb
new file mode 100644
index 000000000..2a9e19353
--- /dev/null
+++ b/cryptography/galois_field.ipynb
@@ -0,0 +1,415 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "054915e4",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>.container{width:100%}</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%%HTML\n",
+    "<style>.container{width:100%}</style>"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "62243eff",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[0, 0, 0, 0, 1, 1, 0, 1]"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def id2bit(ls:list):\n",
+    "    if(len(ls)==0):\n",
+    "        return [0,0,0,0, 0,0,0,0]\n",
+    "    aa = [0 for i in range(max(ls)+1)]\n",
+    "    for i in ls:\n",
+    "        aa[i]=1\n",
+    "    return aa[::-1]\n",
+    "def bit2id(ls:list,log=False):\n",
+    "    ls = ls[::-1]\n",
+    "    aa =[]\n",
+    "    \n",
+    "    for i in range(len(ls)):\n",
+    "        if(ls[i]==1):\n",
+    "            aa.append(i)\n",
+    "    return aa[::-1]\n",
+    "\n",
+    "def bit2mul(a,b,log=False):\n",
+    "    \n",
+    "    ai = bit2id(a)\n",
+    "    bi = bit2id(b)\n",
+    "    a,b = a[::-1],b[::-1]\n",
+    "    \n",
+    "    if(ai==[]):\n",
+    "        return a\n",
+    "    elif(bi==[]):\n",
+    "        return b\n",
+    "    \n",
+    "    addn = [ [ ai[i]+bi[j] for j in range(len(bi)) ][::-1] for i in range(len(ai)) ][::-1]\n",
+    "    addn = [id2bit(i) for i in addn]\n",
+    "    \n",
+    "    maxsiz = max([len(i) for i in addn])\n",
+    "    for i in range(len(addn)):\n",
+    "        if(len(addn[i])<maxsiz):\n",
+    "            addn[i] = [0 for j in range(maxsiz-len(addn[i]))]+addn[i]\n",
+    "    smm=[]\n",
+    "    for i in range(maxsiz):\n",
+    "        t= 0\n",
+    "        for j in addn:\n",
+    "            t += j[i]\n",
+    "        smm.append(t%2)\n",
+    "    return smm\n",
+    "\n",
+    "def bit2add(a,b):\n",
+    "    a,b = list(a),list(b)\n",
+    "    a,b=a[::-1],b[::-1]\n",
+    "    maxsiz=max(len(a),len(b))\n",
+    "    \n",
+    "    \n",
+    "    if(len(a)<maxsiz):\n",
+    "            a = a+[0 for j in range(maxsiz-len(a))]\n",
+    "    if(len(b)<maxsiz):\n",
+    "            b = b+[0 for j in range(maxsiz-len(b))]\n",
+    "    smm=[]\n",
+    "    for i in range(maxsiz):\n",
+    "        smm.append((a[i]+b[i])%2)\n",
+    "    return smm[::-1]\n",
+    "def bit2str(bit:list):\n",
+    "    s = \"\"\n",
+    "    for i in bit:\n",
+    "        s+=str(i)\n",
+    "    return s\n",
+    "def str2bit(s:str):\n",
+    "    if(set(s).issubset(set('01'))):\n",
+    "        bit=[]\n",
+    "        for i in s:\n",
+    "            bit.append(int(i))\n",
+    "        return bit\n",
+    "    else:\n",
+    "        print(\"bit string should contain 1s and 0s\")\n",
+    "def modgf(dsr:list,dnt = [1, 0, 0, 0, 1, 1, 0, 1, 1]):\n",
+    "    dsr = bit2id(dsr)\n",
+    "    dnt = bit2id(dnt)\n",
+    "    qtnt = []\n",
+    "    while (len(dnt)!=0 and len(dsr)!=0 and (max(dnt)-max(dsr)>=0)):\n",
+    "        ml = max(dnt)-max(dsr)\n",
+    "        qtnt.append(ml)\n",
+    "        plus = id2bit(dnt)\n",
+    "        minus = id2bit([ml+i for i in dsr])\n",
+    "        rem = bit2add(plus,minus)\n",
+    "        dnt = bit2id(rem)\n",
+    "    return id2bit(dnt),id2bit(qtnt)\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n",
+    "\n",
+    "# import numpy as np\n",
+    "def ext_eucld(a,b,log=False):\n",
+    "    ai,bi = bit2id(a),bit2id(b)\n",
+    "    if((len(ai)!=0 and len(bi)!=0)):\n",
+    "        if(max(max(ai),max(bi))==max(bi)):\n",
+    "            a,b=b,a\n",
+    "    elif(len(ai)==0 and len(bi)!=0):\n",
+    "        a,b=b,a\n",
+    "    def eucld(a,b,log=False):\n",
+    "        \n",
+    "        a,b = a[::-1],b[::-1]\n",
+    "        if(set(b)==set([0]) or (b[0]==1 and (set(b[1:])==set([0])))):\n",
+    "            return []\n",
+    "        ls = []\n",
+    "        \n",
+    "        while not (b[0]==1 and (set(b[1:])==set([0]))):\n",
+    "            \n",
+    "            r,idx = modgf(b[::-1],dnt=a[::-1])\n",
+    "            r,idx = r[::-1],idx[::-1]\n",
+    "            \n",
+    "            if(set(r)==set([0])):\n",
+    "                return ls\n",
+    "            \n",
+    "            ls.append(idx[::-1])\n",
+    "            a = b\n",
+    "            b = r\n",
+    "        return ls\n",
+    "    \n",
+    "    row = [[[0,0,0,0, 0,0,0,1],[0,0,0,0, 0,0,0,0]],\n",
+    "                    [[0,0,0,0, 0,0,0,0],[0,0,0,0, 0,0,0,1]]]\n",
+    "    ls = eucld(a,b)\n",
+    "    for i in ls:\n",
+    "        r10,r11 = row[-1][0], row[-1][1]\n",
+    "        r20,r21 = row[-2][0], row[-2][1]\n",
+    "        r0 = bit2add(r20,bit2mul(r10,i))\n",
+    "        r1 = bit2add(r21,bit2mul(r11,i))\n",
+    "        rowl = [r0,r1]\n",
+    "        row.append(rowl)\n",
+    "    return row[-1]\n",
+    "def Gfinv(bit,irrpoly = [1, 0, 0, 0, 1, 1, 0, 1, 1]):\n",
+    "    if(set(bit)==set('0')):\n",
+    "        return '--'\n",
+    "    ans = ext_eucld(irrpoly,bit)\n",
+    "    ans = ans[-1][-len(bit):]\n",
+    "    return ans\n",
+    "\n",
+    "\n",
+    "Gfinv([0,0,0,0,0,1,0,0],irrpoly=[0,0,0,1, 0,0,1,1])"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "2b8ce266",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "38ba4051",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "0c2b9aab",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "9410bfdf",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "edb53805",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "def genmapping(n:int,irrpoly):\n",
+    "    gf = [str(bin(i))[2:] for i in range(2**n)]\n",
+    "    for i in range(len(gf)):\n",
+    "        if(len(gf[i])<n):\n",
+    "            gf[i] = '0'*(n-len(gf[i])) + gf[i]\n",
+    "    key2ele = dict(enumerate(gf))\n",
+    "    ele2key = dict([i[::-1] for i in list(enumerate(gf))])\n",
+    "    invmap = dict()\n",
+    "    for i in gf:\n",
+    "        if(set(i)!=set('0')):\n",
+    "            inv = bit2str(Gfinv(str2bit(i),irrpoly=irrpoly))\n",
+    "            invmap[ele2key[i]] = ele2key[inv]\n",
+    "    return gf,invmap"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "d4ca99d5",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "gf5,invmap = genmapping(n=5,irrpoly=id2bit([5,2,0]))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "44e4797e",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "set(invmap.values())==set(invmap.keys())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "b08bd2b6",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "{1: 1,\n",
+       " 2: 18,\n",
+       " 3: 28,\n",
+       " 4: 9,\n",
+       " 5: 23,\n",
+       " 6: 14,\n",
+       " 7: 12,\n",
+       " 8: 22,\n",
+       " 9: 4,\n",
+       " 10: 25,\n",
+       " 11: 16,\n",
+       " 12: 7,\n",
+       " 13: 15,\n",
+       " 14: 6,\n",
+       " 15: 13,\n",
+       " 16: 11,\n",
+       " 17: 24,\n",
+       " 18: 2,\n",
+       " 19: 29,\n",
+       " 20: 30,\n",
+       " 21: 26,\n",
+       " 22: 8,\n",
+       " 23: 5,\n",
+       " 24: 17,\n",
+       " 25: 10,\n",
+       " 26: 21,\n",
+       " 27: 31,\n",
+       " 28: 3,\n",
+       " 29: 19,\n",
+       " 30: 20,\n",
+       " 31: 27}"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "invmap"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "90374ee9",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "06a7f472",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "gf28 = [str(bin(i))[2:] for i in range(256)]\n",
+    "for i in range(len(gf28)):\n",
+    "    if(len(gf28[i])<8):\n",
+    "        gf28[i] = '0'*(8-len(gf28[i])) + gf28[i]\n",
+    "\n",
+    "key2ele = dict(enumerate(gf28))\n",
+    "ele2key = dict([i[::-1] for i in list(enumerate(gf28))])\n",
+    "invmap = dict()\n",
+    "for i in gf28:\n",
+    "\n",
+    "    if(set(i)!=set('0')):\n",
+    "        inv = bit2str(Gfinv(str2bit(i)))\n",
+    "        invmap[ele2key[i]] = ele2key[inv]"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 10,
+   "id": "5fcfedd5",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "True"
+      ]
+     },
+     "execution_count": 10,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "set(invmap.values())==set(invmap.keys())"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "4059dff6",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "06b3e5d5",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "37dd903a",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/cryptography/lfsr_bit_stream.ipynb b/cryptography/lfsr_bit_stream.ipynb
new file mode 100644
index 000000000..ebec63ed1
--- /dev/null
+++ b/cryptography/lfsr_bit_stream.ipynb
@@ -0,0 +1,245 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "65571230-ccb3-41a1-a361-31097b31bc5b",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>.container{width:100%}</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%%HTML\n",
+    "<style>.container{width:100%}</style>"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 2,
+   "id": "f12511c2-01b6-45f4-b6b6-1bfe1dc93631",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[1, 0, 0, 0, 0, 1, 0, 1, 1, 0]"
+      ]
+     },
+     "execution_count": 2,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "def id2bit(ls:list):\n",
+    "    if(len(ls)==0):\n",
+    "        return [0,0,0,0, 0,0,0,0]  # Return a default 8-bit array\n",
+    "    aa = [0 for i in range(max(ls)+1)]\n",
+    "    for i in ls:\n",
+    "        aa[i] = 1\n",
+    "    return aa[::-1]\n",
+    "\n",
+    "def bit2id(ls:list):\n",
+    "    ls = ls[::-1]\n",
+    "    aa = []\n",
+    "    for i in range(len(ls)):\n",
+    "        if(ls[i] == 1):\n",
+    "            aa.append(i)\n",
+    "    return aa[::-1]\n",
+    "    \n",
+    "def XOR(*args):\n",
+    "    result = 0\n",
+    "    for arg in args:\n",
+    "        result ^= arg\n",
+    "    return result\n",
+    "    \n",
+    "class LFSR:\n",
+    "    def __init__(self,start,poly):\n",
+    "        self.seq = start\n",
+    "        self.taps = bit2id(poly[:-1])  # ignore the output tap (final bit)\n",
+    "\n",
+    "        if len(self.seq) != len(poly) - 1:\n",
+    "            raise ValueError(\"Polynomial and start value length mismatch\")\n",
+    "\n",
+    "    def clock(self):\n",
+    "        # print(self.seq) \n",
+    "        feedback = XOR(*[self.seq[bit] for bit in self.taps])\n",
+    "        \n",
+    "        self.seq = [feedback] + self.seq[:-1]\n",
+    "\n",
+    "        \n",
+    "class A51:\n",
+    "    def __init__(self,lfsrs,clock_bits):\n",
+    "        self.lfsrs = lfsrs\n",
+    "        self.clock_bits = clock_bits\n",
+    "        self.lfsr_count = len(clock_bits)\n",
+    "    def majority(self, *bits):\n",
+    "        ones = sum(i for i in bits if i==1)\n",
+    "        if ones >= self.lfsr_count / 2:\n",
+    "            majority_bit = 1\n",
+    "        else:\n",
+    "            majority_bit = 0\n",
+    "        return majority_bit\n",
+    "        \n",
+    "    def clock(self):\n",
+    "        majority = self.majority(*[self.lfsrs[i].seq[self.clock_bits[i]] for i in range(self.lfsr_count)])\n",
+    "        for i in range(self.lfsr_count):\n",
+    "            if(self.lfsrs[i].seq[self.clock_bits[i]] == majority):\n",
+    "                self.lfsrs[i].clock()\n",
+    "        out = XOR(*[int(i.seq[-1]) for i in self.lfsrs])\n",
+    "        return out\n",
+    "        \n",
+    "lf1 = LFSR(start=[1,0,1,1],poly=id2bit([4,1]))\n",
+    "lf2 = LFSR(start=[0,1,1,1],poly=id2bit([4,1]))\n",
+    "lf3 = LFSR(start=[1,0,1,0],poly=id2bit([4,1]))\n",
+    "a51 = A51(lfsrs=[lf1,lf2,lf3],clock_bits=[1,2,0])\n",
+    "stream = [a51.clock() for i in range(10)]\n",
+    "stream"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 3,
+   "id": "182b2a83-d083-4296-a3bc-4d4f14dd8724",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "import os\n",
+    "def write2txt_file(bitstream, filename):\n",
+    "    \"\"\"Writes a bitstream (string of '0's and '1's) to a text file.\"\"\"\n",
+    "    with open(filename, 'a') as f:  # Open in append mode to continue writing\n",
+    "        f.write(bitstream)\n",
+    "\n",
+    "def write2bin_file(bitstream, filename):\n",
+    "    byte_list = []\n",
+    "    \n",
+    "    # Pad the bitstream if it's not a multiple of 8\n",
+    "    padding = (8 - (len(bitstream) % 8)) % 8\n",
+    "    bitstream += '0' * padding  # Add extra '0's to make the length a multiple of 8\n",
+    "    \n",
+    "    for i in range(0, len(bitstream), 8):\n",
+    "        byte = bitstream[i:i+8]\n",
+    "        byte_list.append(int(byte, 2))  # Convert 8 bits to an integer (byte)\n",
+    "    \n",
+    "    # Append the bytes to the binary file\n",
+    "    with open(filename, 'ab') as f:  # 'ab' mode to append to the binary file\n",
+    "        f.write(bytearray(byte_list))\n",
+    "\n",
+    "def gen_bit_stream(data:dict,target_size,file_path):\n",
+    "    lfsrs = [LFSR(start=i[\"start\"],poly=i[\"poly\"]) for i in data]\n",
+    "    a51 = A51(lfsrs=lfsrs,clock_bits=[i[\"clock\"] for i in data])\n",
+    "    \n",
+    "    # filename = 'bitstream_output_1GB.bin'\n",
+    "    # target_size = 1 * 1024 * 1024 * 1024  # 1 GB in bytes\n",
+    "    current_size = 0\n",
+    "\n",
+    "    bitstream_chunk = \"\"  # Chunk of bits to write periodically\n",
+    "    chunk_size = 10000  # Number of bits to generate at a time (can adjust for performance)\n",
+    "    progress_interval = target_size // 10  # 1/10th of the target size (100 MB)\n",
+    "    next_progress_checkpoint = progress_interval\n",
+    "    \n",
+    "    while current_size < target_size:\n",
+    "        # Generate bits in chunks\n",
+    "        for _ in range(chunk_size):\n",
+    "            bitstream_chunk += str(a51.clock())\n",
+    "\n",
+    "        # Write chunk to file\n",
+    "        # write2bin_file(bitstream_chunk, filename)\n",
+    "        write2txt_file(bitstream_chunk, file_path)\n",
+    "        \n",
+    "        # Clear the chunk and update the current file size\n",
+    "        bitstream_chunk = \"\"\n",
+    "        current_size = os.path.getsize(file_path)\n",
+    "        # Check if the file size has crossed the 1/10th checkpoint\n",
+    "        if current_size >= next_progress_checkpoint:\n",
+    "            print(f\"File size crossed {round(next_progress_checkpoint / (1024 * 1024),2)} MB\")\n",
+    "            next_progress_checkpoint += progress_interval  # Update to next 10% checkpoint\n",
+    "\n",
+    "       \n",
+    "\n",
+    "    print(f\"File generation complete: {file_path} (target)\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "ebf2b473-4277-4b99-9935-96802dc52488",
+   "metadata": {},
+   "outputs": [
+    {
+     "name": "stdout",
+     "output_type": "stream",
+     "text": [
+      "File size crossed 0.1 MB\n",
+      "File size crossed 0.2 MB\n",
+      "File size crossed 0.3 MB\n",
+      "File size crossed 0.4 MB\n",
+      "File size crossed 0.5 MB\n",
+      "File size crossed 0.6 MB\n",
+      "File size crossed 0.7 MB\n",
+      "File size crossed 0.8 MB\n",
+      "File size crossed 0.9 MB\n",
+      "File size crossed 1.0 MB\n",
+      "File generation complete: mine_gen_100MB.txt (target)\n"
+     ]
+    }
+   ],
+   "source": [
+    "data = [\n",
+    "    {\"start\": [0, 1, 0, 1, 1], \"poly\": id2bit([5, 2, 0]), \"clock\": 2},\n",
+    "    {\"start\": [1, 0, 0, 1, 0], \"poly\": id2bit([5, 4, 3, 1, 0]), \"clock\": 3},\n",
+    "    {\"start\": [0, 1, 1, 0, 0], \"poly\": id2bit([5, 4, 2, 1, 0]), \"clock\": 2}\n",
+    "]\n",
+    "gen_bit_stream(data, target_size=1*1024**2, file_path=\"mine_gen_100MB.txt\")"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "80acd699-63bc-4391-ac05-8166a843b1ca",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "01038d4c-ab7f-486c-b300-a95187f4cd76",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}
diff --git a/cryptography/mine_gen_100MB.txt b/cryptography/mine_gen_100MB.txt
new file mode 100644
index 000000000..6d301e21b
--- /dev/null
+++ b/cryptography/mine_gen_100MB.txt
@@ -0,0 +1 @@
+011001100101110000001000101111010010111110001010010010110010100000001101101101011111011011111001011110101100100011010110100100011001010110110010011011000010110010001000110000100000001001011011101000011110111101011101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110100101000011000110100100010110010101011110111000011111000001011011111000110011011010010100001100011010010001011001010101111011100001111100000101101111100011001101101001010000110001101001000101100101010111101110000111110000010110111110001100110110
\ No newline at end of file
diff --git a/cryptography/playfire.ipynb b/cryptography/playfire.ipynb
new file mode 100644
index 000000000..5814f34fe
--- /dev/null
+++ b/cryptography/playfire.ipynb
@@ -0,0 +1,255 @@
+{
+ "cells": [
+  {
+   "cell_type": "code",
+   "execution_count": 1,
+   "id": "f06af5bc",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/html": [
+       "<style>.container{width:100%}</style>\n"
+      ],
+      "text/plain": [
+       "<IPython.core.display.HTML object>"
+      ]
+     },
+     "metadata": {},
+     "output_type": "display_data"
+    }
+   ],
+   "source": [
+    "%%HTML\n",
+    "<style>.container{width:100%}</style>"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 4,
+   "id": "b73906e7",
+   "metadata": {},
+   "outputs": [],
+   "source": [
+    "class PlayFire:\n",
+    "    def __init__(self,key,extra='x'):\n",
+    "        self.key = self.__verify_key(key)\n",
+    "        self.key_matrix = self.__make_matrix()\n",
+    "        self.extra = extra\n",
+    "    def __verify_key(self,key):\n",
+    "        keyy = []\n",
+    "        for i in key:\n",
+    "            if(i not in keyy):\n",
+    "                keyy.append(i)\n",
+    "        if(len(set(key))==len(key)):\n",
+    "            return key\n",
+    "        else:\n",
+    "            print(\"key Error\")\n",
+    "    def __make_matrix(self):\n",
+    "        alphanum = list(\"abcdefghijklmnopqrstuvwxyz0123456789\")\n",
+    "        key = list(self.key)\n",
+    "        xx = key+[i for i in alphanum if i not in key]\n",
+    "        mtrx = []\n",
+    "        idx = 0\n",
+    "        for i in range(6):\n",
+    "            t1 = xx[idx:idx+6]\n",
+    "            mtrx.append(t1)\n",
+    "            idx = idx+6\n",
+    "        return mtrx\n",
+    "    def find_idx(self,pair):\n",
+    "            idxs = [6,6]\n",
+    "            for i in range(6):\n",
+    "                for j in range(6):\n",
+    "                    if(i == 5):\n",
+    "                        i = -1\n",
+    "                    if(j == 5):\n",
+    "                        j = -1\n",
+    "                    if(pair[0]==self.key_matrix[i][j]):\n",
+    "                        idxs[0] = [i,j]\n",
+    "                    if(pair[1]==self.key_matrix[i][j]):\n",
+    "                        idxs[1] = [i,j]\n",
+    "            return idxs\n",
+    "    def encrypt(self,msg:str):\n",
+    "        msg = list(msg.lower())\n",
+    "        if(len(msg)%2==1):\n",
+    "            msg.append(self.extra)\n",
+    "        pairs = []\n",
+    "        for i in range(0,len(msg),2):\n",
+    "            pairs.append(msg[i:i+2])\n",
+    "        en_msg=\"\"\n",
+    "        for i in pairs:\n",
+    "            idxs = self.find_idx(i)\n",
+    "            if(idxs[0][0]==idxs[1][0]):\n",
+    "                en_m = self.key_matrix[idxs[0][0]][idxs[0][1]+1]+self.key_matrix[idxs[0][0]][idxs[1][1]+1]\n",
+    "            elif(idxs[0][1]==idxs[1][1]):\n",
+    "                \n",
+    "                en_m = self.key_matrix[idxs[0][0]+1][idxs[0][1]]+self.key_matrix[idxs[1][0]+1][idxs[1][1]]\n",
+    "            else:\n",
+    "                en_m = self.key_matrix[idxs[0][0]][idxs[1][1]]+self.key_matrix[idxs[1][0]][idxs[0][1]]\n",
+    "            en_msg += en_m\n",
+    "        return en_msg\n",
+    "    \n",
+    "    def decrypt(self,msg):\n",
+    "        msg = list(msg.lower())\n",
+    "        if(len(msg)%2==1):\n",
+    "            msg.append(self.extra)\n",
+    "        pairs = []\n",
+    "        for i in range(0,len(msg),2):\n",
+    "            pairs.append(msg[i:i+2])\n",
+    "        en_msg=\"\"\n",
+    "        for i in pairs:\n",
+    "            idxs = self.find_idx(i)\n",
+    "            if(idxs[0][0]==idxs[1][0]):\n",
+    "                en_m = self.key_matrix[idxs[0][0]][idxs[0][1]-1]+self.key_matrix[idxs[0][0]][idxs[1][1]-1]\n",
+    "            elif(idxs[0][1]==idxs[1][1]):\n",
+    "                en_m = self.key_matrix[idxs[0][0]-1][idxs[0][1]]+self.key_matrix[idxs[1][0]-1][idxs[1][1]]\n",
+    "            else:\n",
+    "                en_m = self.key_matrix[idxs[0][0]][idxs[1][1]]+self.key_matrix[idxs[1][0]][idxs[0][1]]\n",
+    "            en_msg += en_m\n",
+    "        return en_msg"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 5,
+   "id": "4b861600",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "[['m', 'o', 'n', 'a', 'r', 'c'],\n",
+       " ['h', 'y', '1', '2', '3', 'b'],\n",
+       " ['d', 'e', 'f', 'g', 'i', 'j'],\n",
+       " ['k', 'l', 'p', 'q', 's', 't'],\n",
+       " ['u', 'v', 'w', 'x', 'z', '0'],\n",
+       " ['4', '5', '6', '7', '8', '9']]"
+      ]
+     },
+     "execution_count": 5,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pf = PlayFire(key=\"monarchy123\")\n",
+    "pf.key_matrix"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 6,
+   "id": "7c4e1caa",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'ydppny3b7u'"
+      ]
+     },
+     "execution_count": 6,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "msg = 'hello1234'\n",
+    "enc = pf.encrypt(msg)\n",
+    "enc"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 7,
+   "id": "48c8a847",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'hello1234x'"
+      ]
+     },
+     "execution_count": 7,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pf.decrypt(enc)"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 8,
+   "id": "62806ee1",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'thismy1stdayofcollegeilearntabouteverythingandmetmyfriends'"
+      ]
+     },
+     "execution_count": 8,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pf.decrypt(pf.encrypt(\"thismy1stdayofcollegeilearntabouteverythingandmetmyfriends\"))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": 9,
+   "id": "a7a9907b",
+   "metadata": {},
+   "outputs": [
+    {
+     "data": {
+      "text/plain": [
+       "'rx'"
+      ]
+     },
+     "execution_count": 9,
+     "metadata": {},
+     "output_type": "execute_result"
+    }
+   ],
+   "source": [
+    "pf.decrypt(pf.encrypt('r'))"
+   ]
+  },
+  {
+   "cell_type": "code",
+   "execution_count": null,
+   "id": "6fe9dad9",
+   "metadata": {},
+   "outputs": [],
+   "source": []
+  }
+ ],
+ "metadata": {
+  "kernelspec": {
+   "display_name": "Python 3 (ipykernel)",
+   "language": "python",
+   "name": "python3"
+  },
+  "language_info": {
+   "codemirror_mode": {
+    "name": "ipython",
+    "version": 3
+   },
+   "file_extension": ".py",
+   "mimetype": "text/x-python",
+   "name": "python",
+   "nbconvert_exporter": "python",
+   "pygments_lexer": "ipython3",
+   "version": "3.12.3"
+  }
+ },
+ "nbformat": 4,
+ "nbformat_minor": 5
+}