A binary search tree is either an empty tree, or a binary tree with the following properties: if its left subtree is not empty, the values of all nodes on the left subtree are less than or equal to the value of its root node; If its right subtree is not empty, the values of all nodes on the right subtree are greater than the value of its root node; its left and right subtrees are also binary search trees.
Insert a series of numbers into an initially empty binary search tree in a given order, and your task is to count the number of nodes in the bottom 2 layers of the result tree.
Input format: Enter a positive integer N (≤1000) in the first line, which is the number of inserted numbers. The second line gives N integers in the interval [−1000,1000]. Numbers are separated by spaces.
Output format: output the total number of nodes in the bottom 2 layers in one line.
Input sample: 9
25 30 42 16 20 20 35 -5 28
Output sample: 6
code length limit
16 KB
time limit
400 ms
memory limit
64 MB
#include <bits/stdc++.h>
using namespace std;
typedef struct Node {
int val;
Node* left;
Node* right;
int size; //子树数量
int tall;//高度
}node, *pNode;
int max1 = 0;
int daan = 0;
//创建二叉搜索树
pNode buildTree(pNode &tree, int num,int tall){
if(tree == NULL){
tree = new node; //开辟空间
tree->val = num; //赋值
tree->left = tree->right = NULL;
tree->tall = tall;//深度
if(tall > max1){ //记录最大深度
max1 = tall;
}
//cout << "22" << ' ' << tree->val <<endl;
return tree;
}
//用二层搜索树的性质递归插入结点
if(num <= tree->val){
tree->left = buildTree(tree->left, num, tall+1);
}
else {
tree->right = buildTree(tree->right, num, tall+1);
}
return tree;
}
//中序遍历
void inOrder(pNode &root){
if(root == NULL)
return;
inOrder(root->left);
if(root->tall >= max1-1){ //如果是最下两层,答案daan+1
daan++;
}
inOrder(root->right);
}
int main(){
int n;
cin >> n;
int num;
node *root = NULL;
for(int i = 0; i < n; i++){
cin >> num;
buildTree(root, num, 1);
}
//cout << max1 << endl;
inOrder(root);
cout << daan;
return 0;
}