diff --git a/.flake8 b/.flake8
index 2f74f421d..b68ee8533 100644
--- a/.flake8
+++ b/.flake8
@@ -4,5 +4,7 @@ max-line-length = 88
 max-complexity = 19
 extend-ignore =
     # Formatting style for `black`
-    E203  # Whitespace before ':'
-    W503  # Line break occurred before a binary operator
+    # E203 is whitespace before ':'
+    E203,
+    # W503 is line break occurred before a binary operator
+    W503
diff --git a/.pre-commit-config.yaml b/.pre-commit-config.yaml
index 324a021ee..74502b3ea 100644
--- a/.pre-commit-config.yaml
+++ b/.pre-commit-config.yaml
@@ -1,6 +1,6 @@
 repos:
   - repo: https://github.com/pre-commit/pre-commit-hooks
-    rev: v4.3.0
+    rev: v4.4.0
     hooks:
       - id: check-executables-have-shebangs
       - id: check-yaml
@@ -34,13 +34,13 @@ repos:
           - --py311-plus
 
   - repo: https://github.com/PyCQA/flake8
-    rev: 5.0.4
+    rev: 6.0.0
     hooks:
       - id: flake8 # See .flake8 for args
         additional_dependencies: &flake8-plugins
           - flake8-bugbear
           - flake8-builtins
-          - flake8-broken-line
+          # - flake8-broken-line
           - flake8-comprehensions
           - pep8-naming
 
diff --git a/DIRECTORY.md b/DIRECTORY.md
index 83da4b76a..b3b484f73 100644
--- a/DIRECTORY.md
+++ b/DIRECTORY.md
@@ -375,6 +375,7 @@
   * [Articulation Points](graphs/articulation_points.py)
   * [Basic Graphs](graphs/basic_graphs.py)
   * [Bellman Ford](graphs/bellman_ford.py)
+  * [Bi Directional Dijkstra](graphs/bi_directional_dijkstra.py)
   * [Bidirectional A Star](graphs/bidirectional_a_star.py)
   * [Bidirectional Breadth First Search](graphs/bidirectional_breadth_first_search.py)
   * [Boruvka](graphs/boruvka.py)
@@ -563,6 +564,7 @@
   * [Is Ip V4 Address Valid](maths/is_ip_v4_address_valid.py)
   * [Is Square Free](maths/is_square_free.py)
   * [Jaccard Similarity](maths/jaccard_similarity.py)
+  * [Juggler Sequence](maths/juggler_sequence.py)
   * [Kadanes](maths/kadanes.py)
   * [Karatsuba](maths/karatsuba.py)
   * [Krishnamurthy Number](maths/krishnamurthy_number.py)
diff --git a/compression/huffman.py b/compression/huffman.py
index b337ac3ec..65e5c2f25 100644
--- a/compression/huffman.py
+++ b/compression/huffman.py
@@ -32,7 +32,7 @@ def parse_file(file_path: str) -> list[Letter]:
             if not c:
                 break
             chars[c] = chars[c] + 1 if c in chars else 1
-    return sorted((Letter(c, f) for c, f in chars.items()), key=lambda l: l.freq)
+    return sorted((Letter(c, f) for c, f in chars.items()), key=lambda x: x.freq)
 
 
 def build_tree(letters: list[Letter]) -> Letter | TreeNode:
@@ -47,7 +47,7 @@ def build_tree(letters: list[Letter]) -> Letter | TreeNode:
         total_freq = left.freq + right.freq
         node = TreeNode(total_freq, left, right)
         response.append(node)
-        response.sort(key=lambda l: l.freq)
+        response.sort(key=lambda x: x.freq)
     return response[0]
 
 
diff --git a/data_structures/binary_tree/non_recursive_segment_tree.py b/data_structures/binary_tree/non_recursive_segment_tree.py
index 075ff6c91..04164e5cb 100644
--- a/data_structures/binary_tree/non_recursive_segment_tree.py
+++ b/data_structures/binary_tree/non_recursive_segment_tree.py
@@ -106,7 +106,7 @@ class SegmentTree(Generic[T]):
         l, r = l + self.N, r + self.N
 
         res: T | None = None
-        while l <= r:  # noqa: E741
+        while l <= r:
             if l % 2 == 1:
                 res = self.st[l] if res is None else self.fn(res, self.st[l])
             if r % 2 == 0:
diff --git a/data_structures/binary_tree/segment_tree.py b/data_structures/binary_tree/segment_tree.py
index 949a3ecdd..b05803869 100644
--- a/data_structures/binary_tree/segment_tree.py
+++ b/data_structures/binary_tree/segment_tree.py
@@ -16,7 +16,7 @@ class SegmentTree:
         return idx * 2 + 1
 
     def build(self, idx, l, r):  # noqa: E741
-        if l == r:  # noqa: E741
+        if l == r:
             self.st[idx] = A[l]
         else:
             mid = (l + r) // 2
@@ -33,7 +33,7 @@ class SegmentTree:
         """
         if r < a or l > b:
             return True
-        if l == r:  # noqa: E741
+        if l == r:
             self.st[idx] = val
             return True
         mid = (l + r) // 2
@@ -51,7 +51,7 @@ class SegmentTree:
         """
         if r < a or l > b:
             return -math.inf
-        if l >= a and r <= b:  # noqa: E741
+        if l >= a and r <= b:
             return self.st[idx]
         mid = (l + r) // 2
         q1 = self.query_recursive(self.left(idx), l, mid, a, b)
diff --git a/machine_learning/sequential_minimum_optimization.py b/machine_learning/sequential_minimum_optimization.py
index 3864f6421..f5185e1d9 100644
--- a/machine_learning/sequential_minimum_optimization.py
+++ b/machine_learning/sequential_minimum_optimization.py
@@ -314,7 +314,7 @@ class SmoSVM:
             l, h = max(0.0, a2 - a1), min(self._c, self._c + a2 - a1)
         else:
             l, h = max(0.0, a2 + a1 - self._c), min(self._c, a2 + a1)
-        if l == h:  # noqa: E741
+        if l == h:
             return None, None
 
         # calculate eta
diff --git a/project_euler/problem_107/sol1.py b/project_euler/problem_107/sol1.py
index b3f5685b9..4659eac24 100644
--- a/project_euler/problem_107/sol1.py
+++ b/project_euler/problem_107/sol1.py
@@ -99,7 +99,6 @@ def solution(filename: str = "p107_network.txt") -> int:
     """
     script_dir: str = os.path.abspath(os.path.dirname(__file__))
     network_file: str = os.path.join(script_dir, filename)
-    adjacency_matrix: list[list[str]]
     edges: dict[EdgeT, int] = {}
     data: list[str]
     edge1: int