From bea1ee8a3540bb84ce8f22ebe9a3255fa61bd78b Mon Sep 17 00:00:00 2001
From: Shinjanee Gupta <shinjaneegupta@gmail.com>
Date: Tue, 3 Mar 2026 11:30:30 -0800
Subject: [PATCH] BFS-1

---
 CourseSchedule.py | 47 +++++++++++++++++++++++++++++++++++++++++++++++
 LevelOrder.py     | 38 ++++++++++++++++++++++++++++++++++++++
 2 files changed, 85 insertions(+)
 create mode 100644 CourseSchedule.py
 create mode 100644 LevelOrder.py

diff --git a/CourseSchedule.py b/CourseSchedule.py
new file mode 100644
index 00000000..80e0dddd
--- /dev/null
+++ b/CourseSchedule.py
@@ -0,0 +1,47 @@
+# Time Complexity : O(V+E)
+# Space Complexity : O(V+E)
+# Did this code successfully run on Leetcode : Yes
+# Any problem you faced while coding this : No
+# Approach : BFS to perform topological sort by starting with nodes having indegree = 0.
+# For each course, reduce the indegree of its dependents and add them to the queue if their indegree becomes 0.
+# If we can visit all courses this way, there's no cycle, and the courses can be completed.
+
+
+class Solution:
+    def canFinish(self, numCourses: int, prerequisites: List[List[int]]) -> bool:
+        indegrees = [0] * numCourses
+        adjacencyMatrix = {}
+
+        for pr in prerequisites:
+            indegrees[pr[0]] += 1
+            if pr[1] not in adjacencyMatrix:
+                adjacencyMatrix[pr[1]] = []
+            adjacencyMatrix[pr[1]].append(pr[0])
+
+        count = 0
+        q = deque()
+
+        for i in range(numCourses):
+            if indegrees[i] == 0:
+                q.append(i)
+                count += 1
+
+        if not q:
+            return False
+        if count == numCourses:
+            return True
+
+        while q:
+            curr = q.popleft()
+            deps = adjacencyMatrix.get(curr)
+            if deps:
+                for dep in deps:
+                    indegrees[dep] -= 1
+                    if indegrees[dep] == 0:
+                        q.append(dep)
+                        count += 1
+                        if count == numCourses:
+                            return True
+
+        return False
+        
\ No newline at end of file
diff --git a/LevelOrder.py b/LevelOrder.py
new file mode 100644
index 00000000..6c3460b5
--- /dev/null
+++ b/LevelOrder.py
@@ -0,0 +1,38 @@
+# Time Complexity : O(n)
+# Space Complexity : O(n)
+# Did this code successfully run on Leetcode : Yes
+# Any problem you faced while coding this : No
+# Approach : At each step, the size tells how many nodes are at the current level.
+
+# Definition for a binary tree node.
+# class TreeNode:
+#     def __init__(self, val=0, left=None, right=None):
+#         self.val = val
+#         self.left = left
+#         self.right = right
+class Solution:
+    def levelOrder(self, root: Optional[TreeNode]) -> List[List[int]]:
+        if root is None:
+            return []
+
+        res = []
+        q = deque()
+        q.append(root)
+
+        while q:
+            size = len(q)
+            temp = []
+
+            for i in range(size):
+                curr = q.popleft()
+                temp.append(curr.val)
+                if curr.left:
+                    q.append(curr.left)
+                if curr.right:
+                    q.append(curr.right)
+            res.append(temp)
+        return res
+
+
+
+        
\ No newline at end of file