PU Path Sum

Jan 01, 1970

Given a binary tree and a sum, determine if the tree has a root-to-leaf path such that adding up all the values along the path equals the given sum.

For example:

  • Given the below binary tree and sum = 22,
              5
             / 
            4   8
           /   / 
          11  13  4
         /        
        7    2      1
  • return true, as there exist a root-to-leaf path 5->4->11->2 which sum is 22.

C Solution 1:

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */
bool preorder(struct TreeNode *root, int cur, int sum) {
    if (!root->left && !root->right) return root->val + cur == sum;
    if (root->left && preorder(root->left, root->val + cur, sum)) return true;
    if (root->right && preorder(root->right, root->val + cur, sum)) return true;
    return false;
}
bool hasPathSum(struct TreeNode* root, int sum) {
    if (!root) return false;
    return preorder(root, 0, sum);
}

C Solution 2:

/**
 * Definition for a binary tree node.
 * struct TreeNode {
 *     int val;
 *     struct TreeNode *left;
 *     struct TreeNode *right;
 * };
 */
bool hasPathSum(struct TreeNode* root, int sum) {
    if (!root) return false;
    if (!root->left && !root->right) return root->val == sum;
    return hasPathSum(root->left, sum - root->val) || hasPathSum(root->right, sum - root->val);
}

Summary:

  • Always check whether root is null first?
  • Solution 2 is much better.

LeetCode: 112. Path Sum