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README.md

Given the root of a binary tree, replace the value of each node in the tree with the sum of all its cousins' values.

Two nodes of a binary tree are cousins if they have the same depth with different parents.

Return the root of the modified tree.

Note that the depth of a node is the number of edges in the path from the root node to it.

 

Example 1:

Input: root = [5,4,9,1,10,null,7]
Output: [0,0,0,7,7,null,11]
Explanation: The diagram above shows the initial binary tree and the binary tree after changing the value of each node.
- Node with value 5 does not have any cousins so its sum is 0.
- Node with value 4 does not have any cousins so its sum is 0.
- Node with value 9 does not have any cousins so its sum is 0.
- Node with value 1 has a cousin with value 7 so its sum is 7.
- Node with value 10 has a cousin with value 7 so its sum is 7.
- Node with value 7 has cousins with values 1 and 10 so its sum is 11.

Example 2:

Input: root = [3,1,2]
Output: [0,0,0]
Explanation: The diagram above shows the initial binary tree and the binary tree after changing the value of each node.
- Node with value 3 does not have any cousins so its sum is 0.
- Node with value 1 does not have any cousins so its sum is 0.
- Node with value 2 does not have any cousins so its sum is 0.

 

Constraints:

  • The number of nodes in the tree is in the range [1, 105].
  • 1 <= Node.val <= 104

Companies: Amazon

Related Topics:
Hash Table, Tree, Depth-First Search, Breadth-First Search, Binary Tree

Similar Questions:

Solution 1. Level-order Traversal

// OJ: https://leetcode.com/problems/cousins-in-binary-tree-ii
// Author: github.com/lzl124631x
// Time: O(N)
// Space: O(N)
class Solution {
public:
    TreeNode* replaceValueInTree(TreeNode* root) {
        root->val = 0;
        queue<TreeNode*> q{{root}};
        while (q.size()) {
            int cnt = q.size(), sum = 0;
            queue<TreeNode*> p;
            while (cnt--) {
                auto n = q.front();
                p.push(n);
                q.pop();
                if (n->left) {
                    q.push(n->left);
                    sum += n->left->val;
                }
                if (n->right) {
                    q.push(n->right);
                    sum += n->right->val;
                }
            }
            while (p.size()) {
                auto n = p.front();
                p.pop();
                int val = sum - (n->left ? n->left->val : 0) - (n->right ? n->right->val : 0);
                if (n->left) n->left->val = val;
                if (n->right) n->right->val = val;
            }
        }
        return root;
    }
};