1.二叉树层的平均值
思路一:BFS
class Solution {
public:
vector<double> averageOfLevels(TreeNode* root) {
auto averages = vector<double>();
auto q = queue<TreeNode*>();
q.push(root);
while (!q.empty()) {
double sum = 0;
int size = q.size();
for (int i = 0; i < size; i++) {
auto node = q.front();
q.pop();
sum += node->val;
auto left = node->left, right = node->right;
if (left != nullptr) {
q.push(left);
}
if (right != nullptr) {
q.push(right);
}
}
averages.push_back(sum / size);
}
return averages;
}
};思路二:DFS
/**
* Definition for a binary tree node.
* struct TreeNode {
* int val;
* TreeNode *left;
* TreeNode *right;
* TreeNode(int x) : val(x), left(NULL), right(NULL) {}
* };
*/
class Solution {
public:
vector<double> averageOfLevels(TreeNode* root) {
auto counts = vector<int>();
auto sums = vector<double>();
dfs(root, 0, counts, sums);
auto averages = vector<double>();
int size = sums.size();
for (int i = 0; i < size; i++) {
averages.push_back(sums[i] / counts[i]);
}
return averages;
}
void dfs(TreeNode* root, int level, vector<int> &counts, vector<double> &sums) {
if (root == nullptr) {
return;
}
if (level < sums.size()) {
sums[level] += root->val;
counts[level] += 1;
} else {
sums.push_back(1.0 * root->val);
counts.push_back(1);
}
dfs(root->left, level + 1, counts, sums);
dfs(root->right, level + 1, counts, sums);
}
};
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