Given a complete binary tree, count the number of nodes.
In a complete binary tree every level, except possibly the last, is completely filled, and all nodes in the last level are as far left as possible. It can have between 1 and 2h nodes inclusive at the last level h.
思路:
我们只需要看左子树是不是满的,如果满,我们递归分析右子树;如果左子树不满,我们递归分析左子树。
代码:
int countNodes(TreeNode* root) {
if(root == NULL) return 0;
int num = 1;
TreeNode *curL = root -> left, *curR = root -> left;
while(curR){
curL = curL -> left;
curR = curR -> right;
num = num << 1;
}
return num + ((!curL) ? countNodes(root -> right) : countNodes(root -> left));
}
注:使用了位运算,效率高。