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解题思路
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最短路径,即通过最近公共祖先,也就是两叶子节点对于当前根来说分属左右两边; 分别用l_leaf和r_leaf存左右两边的叶子节点,通过dfs递归实现,在处理当前根的时候认为左右两边的叶子节点已求得; 两重循环遍历左右叶子节点们,看两两配对能否满足条件; 之后将左右叶子节点分别+1并合并,即是当前根的所有叶子节点;
代码
class Solution {
public:
int ans = 0;
vector<int> dfs(TreeNode* root, int distance) {
if(root == nullptr) return {};
if(root->left == nullptr && root->right == nullptr) return {1};
vector<int> l_leaf = dfs(root->left, distance);
vector<int> r_leaf = dfs(root->right, distance);
for(auto l : l_leaf) {
for(auto r : r_leaf) {
if((l + r) <= distance) ans++;
}
}
for(auto& l : l_leaf) l++;
for(auto& r : r_leaf) r++;
l_leaf.insert(l_leaf.end(), r_leaf.begin(), r_leaf.end());
return l_leaf;
}
int countPairs(TreeNode* root, int distance) {
if(distance == 1) return 0;
dfs(root, distance);
return ans;
}
};
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