1102 Invert a Binary Tree
阿新 • • 發佈:2018-12-09
The following is from Max Howell @twitter:
Google: 90% of our engineers use the software you wrote (Homebrew), but you can't invert a binary tree on a whiteboard so fuck off.
Now it's your turn to prove that YOU CAN invert a binary tree!
Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N (≤10) which is the total number of nodes in the tree -- and hence the nodes are numbered from 0 to N−1. Then N lines follow, each corresponds to a node from 0 to N−1, and gives the indices of the left and right children of the node. If the child does not exist, a - will be put at the position. Any pair of children are separated by a space.
Output Specification:
For each test case, print in the first line the level-order, and then in the second line the in-order traversal sequences of the inverted tree. There must be exactly one space between any adjacent numbers, and no extra space at the end of the line.
Sample Input:
8
1 -
- -
0 -
2 7
- -
- -
5 -
4 6
Sample Output:
3 7 2 6 4 0 5 1
6 5 7 4 3 2 0 1
分析:根據輸入建立一棵樹,然後倒轉樹,即結點的左右子樹互相交換。 使用陣列儲存樹節點,然後層次遍歷和中序遍歷即可。 參考程式碼:
#include<iostream>
#include<vector>
#include<algorithm>
#include<queue>
using namespace std;
struct node {
int left;
int right;
};
int flag = 0;
vector<node>v;
void in_order(int vec) {
if (v[vec].left != -1)
in_order(v[vec].left);
if (flag)
cout << " ";
cout << vec;
flag = 1;
if (v[vec].right != -1)
in_order(v[vec].right);
}
int main()
{
int n;
char ch1, ch2;
scanf_s("%d", &n);
v.resize(n);
vector<int>num(n, -1);
getchar();
for (int i = 0; i < n; i++) {
ch1 = getchar();
getchar();
ch2 = getchar();
getchar();
if (ch1 == '-')
v[i].right = -1;
else { v[i].right = ch1 - '0'; num[ch1 - '0'] = 1; }
if (ch2 == '-')
v[i].left = -1;
else { v[i].left = ch2 - '0'; num[ch2 - '0'] = 1; }
}
int root;
for (int i = 0; i < n; i++)
{
if (num[i] == -1) {
root = i;
break;
}
}
int flag = 0;
queue<int>q;
q.push(root);
while (!q.empty())
{
int temp = q.front();
if (flag)
cout << " ";
cout << temp;
flag = 1;
q.pop();
if (v[temp].left != -1)
q.push(v[temp].left);
if (v[temp].right != -1)
q.push(v[temp].right);
}
cout << endl;
in_order(root);
return 0;
}