Symmetric Tree

101.Symmetric Tree

Given the root of a binary tree, check whether it is a mirror of itself (i.e., symmetric around its center).

Example 1:

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Input: root = [1,2,2,3,4,4,3]
Output: true

Example 2:

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Input: root = [1,2,2,null,3,null,3]
Output: false

迭代法:

时间复杂度:O(n)

空间复杂度:O(n)

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bool check(TreeNode *u, TreeNode *v) {
queue <TreeNode*> q;
q.push(u); q.push(v);
while (!q.empty()) {
u = q.front(); q.pop();
v = q.front(); q.pop();
if (!u && !v) continue;
if ((!u || !v) || (u->val != v->val)) return false;

q.push(u->left);
q.push(v->right);

q.push(u->right);
q.push(v->left);
}
return true;
}

bool isSymmetric(TreeNode* root) {
return check(root, root);
}

递归法:

时间复杂度:O(n)

空间复杂度:O(n)

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class Solution {
public:
bool check(TreeNode *p, TreeNode *q) {
if (!p && !q) return true;
if (!p || !q) return false;
return p->val == q->val && check(p->left, q->right) && check(p->right, q->left);
}

bool isSymmetric(TreeNode* root) {
return check(root, root);
}
};