From 0d19edbcb3baa4b2a21362977246a848aabce1ee Mon Sep 17 00:00:00 2001
From: Anshul Malik <malikanshul29@gmail.com>
Date: Tue, 5 Jun 2018 21:39:16 +0530
Subject: [PATCH] refactor-segment-tree

---
 data_structures/Binary Tree/SegmentTree.py | 62 ++++++++++++----------
 1 file changed, 34 insertions(+), 28 deletions(-)

diff --git a/data_structures/Binary Tree/SegmentTree.py b/data_structures/Binary Tree/SegmentTree.py
index a3b128c9d..001bf999f 100644
--- a/data_structures/Binary Tree/SegmentTree.py	
+++ b/data_structures/Binary Tree/SegmentTree.py	
@@ -3,63 +3,69 @@ import math
 
 class SegmentTree:
     
-    def __init__(self, N):
-        self.N = N
-        self.st = [0 for i in range(0,4*N)] # approximate the overall size of segment tree with array N
+    def __init__(self, A):
+        self.N = len(A)
+        self.st = [0] * (4 * self.N) # approximate the overall size of segment tree with array N
+        self.build(1, 0, self.N - 1)
         
     def left(self, idx):
-        return idx*2
+        return idx * 2
 
     def right(self, idx):
-        return idx*2 + 1
+        return idx * 2 + 1
 
-    def build(self, idx, l, r, A):
-        if l==r:
-            self.st[idx] = A[l-1]
-        else :
-            mid = (l+r)//2
-            self.build(self.left(idx),l,mid, A)
-            self.build(self.right(idx),mid+1,r, A)
+    def build(self, idx, l, r):
+        if l == r:
+            self.st[idx] = A[l]
+        else:
+            mid = (l + r) // 2
+            self.build(self.left(idx), l, mid)
+            self.build(self.right(idx), mid + 1, r)
             self.st[idx] = max(self.st[self.left(idx)] , self.st[self.right(idx)])
     
-    def update(self, idx, l, r, a, b, val): # update(1, 1, N, a, b, v) for update val v to [a,b]
+    def update(self, a, b, val):
+        return self.update_recursive(1, 0, self.N - 1, a - 1, b - 1, val)
+    
+    def update_recursive(self, idx, l, r, a, b, val): # update(1, 1, N, a, b, v) for update val v to [a,b]
         if r < a or l > b:
             return True
         if l == r :
             self.st[idx] = val
             return True
         mid = (l+r)//2
-        self.update(self.left(idx),l,mid,a,b,val)
-        self.update(self.right(idx),mid+1,r,a,b,val)
+        self.update_recursive(self.left(idx), l, mid, a, b, val)
+        self.update_recursive(self.right(idx), mid+1, r, a, b, val)
         self.st[idx] = max(self.st[self.left(idx)] , self.st[self.right(idx)])
         return True
 
-    def query(self, idx, l, r, a, b): #query(1, 1, N, a, b) for query max of [a,b]
+    def query(self, a, b):
+        return self.query_recursive(1, 0, self.N - 1, a - 1, b - 1)
+
+    def query_recursive(self, idx, l, r, a, b): #query(1, 1, N, a, b) for query max of [a,b]
         if r < a or l > b:
             return -math.inf
         if l >= a and r <= b:
             return self.st[idx]
         mid = (l+r)//2
-        q1 = self.query(self.left(idx),l,mid,a,b)
-        q2 = self.query(self.right(idx),mid+1,r,a,b)
-        return max(q1,q2)
+        q1 = self.query_recursive(self.left(idx), l, mid, a, b)
+        q2 = self.query_recursive(self.right(idx), mid + 1, r, a, b)
+        return max(q1, q2)
 
     def showData(self):
         showList = []
         for i in range(1,N+1):
-            showList += [self.query(1, 1, self.N, i, i)]
+            showList += [self.query(i, i)]
         print (showList)
             
 
 if __name__ == '__main__':
     A = [1,2,-4,7,3,-5,6,11,-20,9,14,15,5,2,-8]
     N = 15
-    segt = SegmentTree(N)
-    segt.build(1,1,N,A)
-    print (segt.query(1,1,N,4,6))
-    print (segt.query(1,1,N,7,11))
-    print (segt.query(1,1,N,7,12))
-    segt.update(1,1,N,1,3,111)
-    print (segt.query(1,1,N,1,15))
-    segt.update(1,1,N,7,8,235)
+    segt = SegmentTree(A)
+    print (segt.query(4, 6))
+    print (segt.query(7, 11))
+    print (segt.query(7, 12))
+    segt.update(1,3,111)
+    print (segt.query(1, 15))
+    segt.update(7,8,235)
     segt.showData()