From 9e295aacf6e92fabe8c5b1475587b67d6a53d86f Mon Sep 17 00:00:00 2001
From: Shyam-Chen <shyamchen1994@gmail.com>
Date: Sat, 24 Aug 2024 18:08:17 +0800
Subject: [PATCH] 195th Commit

---
 README.md                                    |  3 +-
 src/page-5/437. Path Sum III/pathSum.test.ts | 17 ++++++++
 src/page-5/437. Path Sum III/pathSum.ts      | 46 ++++++++++++++++++++
 3 files changed, 65 insertions(+), 1 deletion(-)
 create mode 100644 src/page-5/437. Path Sum III/pathSum.test.ts
 create mode 100644 src/page-5/437. Path Sum III/pathSum.ts

diff --git a/README.md b/README.md
index a6c4ff9..cde19a3 100644
--- a/README.md
+++ b/README.md
@@ -174,13 +174,14 @@ Ace Coding Interview with 75 Qs
 | 104. Maximum Depth of Binary Tree            | [Solution][104]  | Easy   |
 | 872. Leaf-Similar Trees                      | [Solution][872]  | Easy   |
 | 1448. Count Good Nodes in Binary Tree        | [Solution][1448] | Medium |
-| 437. Path Sum III                            | Solution         | Medium |
+| 437. Path Sum III                            | [Solution][437]  | Medium |
 | 1372. Longest ZigZag Path in a Binary Tree   | Solution         | Medium |
 | 236. Lowest Common Ancestor of a Binary Tree | Solution         | Medium |
 
 [104]: ./src/page-2/104.%20Maximum%20Depth%20of%20Binary%20Tree/maxDepth.ts
 [872]: ./src/page-9/872.%20Leaf-Similar%20Trees/leafSimilar.ts
 [1448]: ./src/page-14/1448.%20Count%20Good%20Nodes%20in%20Binary%20Tree/goodNodes.ts
+[437]: ./src/page-5/437.%20Path%20Sum%20III/pathSum.ts
 
 | Binary Tree - BFS                        |          |        |
 | ---------------------------------------- | -------- | ------ |
diff --git a/src/page-5/437. Path Sum III/pathSum.test.ts b/src/page-5/437. Path Sum III/pathSum.test.ts
new file mode 100644
index 0000000..d6458fb
--- /dev/null
+++ b/src/page-5/437. Path Sum III/pathSum.test.ts	
@@ -0,0 +1,17 @@
+import { generateBinaryTree } from '~/utils/binary-tree';
+
+import { pathSum } from './pathSum';
+
+describe('437. Path Sum III', () => {
+  test('pathSum', () => {
+    {
+      const root = generateBinaryTree([10, 5, -3, 3, 2, null, 11, 3, -2, null, 1]);
+      expect(pathSum(root, 8)).toBe(3);
+    }
+
+    {
+      const root = generateBinaryTree([5, 4, 8, 11, null, 13, 4, 7, 2, null, null, 5, 1]);
+      expect(pathSum(root, 22)).toBe(3);
+    }
+  });
+});
diff --git a/src/page-5/437. Path Sum III/pathSum.ts b/src/page-5/437. Path Sum III/pathSum.ts
new file mode 100644
index 0000000..0ce84a7
--- /dev/null
+++ b/src/page-5/437. Path Sum III/pathSum.ts	
@@ -0,0 +1,46 @@
+import type { TreeNode } from '~/utils/binary-tree';
+
+type PathSum = (root: TreeNode | null, targetSum: number) => number;
+
+/**
+ * Accepted
+ */
+export const pathSum: PathSum = (root, targetSum) => {
+  // Initialize a counter to track the number of valid paths
+  let count = 0;
+
+  // Helper function for DFS traversal, takes the current node and the path from root to this node
+  const dfs = (node: TreeNode | null, currentPath: number[]) => {
+    // Base case: If the current node is null, return (end of path)
+    if (node === null) return;
+
+    // Add the current node's value to the path
+    currentPath.push(node.val);
+
+    // Variable to track the sum of values in the current path
+    let pathSum = 0;
+
+    // Check all sub-paths ending at the current node
+    // We do this by iterating backward from the current node to the start of the path
+    for (let i = currentPath.length - 1; i >= 0; i--) {
+      pathSum += currentPath[i];
+
+      // If the sum of any sub-path equals the targetSum, increment the counter
+      if (pathSum === targetSum) count += 1;
+    }
+
+    // Recursively call DFS on the left and right children of the current node
+    dfs(node.left, currentPath);
+    dfs(node.right, currentPath);
+
+    // Backtrack: Remove the current node's value from the path before returning
+    // This ensures that the path remains accurate for other branches of the tree
+    currentPath.pop();
+  };
+
+  // Start DFS traversal from the root with an empty path
+  dfs(root, []);
+
+  // Return the total number of paths that sum up to targetSum
+  return count;
+};