ZCMU-甲级-1120
2017-01-19 21:09
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1020. Tree Traversals (25)
Suppose that all the keys in a binary tree are distinct positive integers. Given the postorder and inorder traversal sequences, you are supposed to output the level order traversal sequence of the corresponding binary tree.Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N (<=30), the total number of nodes in the binary tree. The second line gives the postorder sequence and the third line gives the inorder sequence. All the numbers
in a line are separated by a space.
Output Specification:
For each test case, print in one line the level order traversal sequence of the corresponding binary tree. All the numbers in a line must be separated by exactly one space, and there must be no extra space at the end of the line.
Sample Input:
7 2 3 1 5 7 6 4 1 2 3 4 5 6 7
Sample Output:
4 1 6 3 5 7 2
【解析】
这道题的意思是给你中序和后序序列,叫你输出层次遍历,层次遍历的意思就是一层一层的输出。和求前序类似,这里就是加了个下标意思就是在该层的下标,该层下标和下同一左子树的关系就是2*i+1。
#include<iostream> #include <cstdio> #include<cstring> #include<vector> using namespace std; vector<int> a,b,level(100010, 0); void pre(int root, int start, int end, int index) { if(start > end) retur 4000 n ; int i = start; while(i < end && b[i]!=a[root])//寻找根结点 i++; level[index]=a[root]; pre(root - 1 - end + i, start, i - 1, 2 * index + 1);//下标表示的是层次遍历 pre(root - 1, i + 1, end, 2 * index + 2); } int main() { int n,i; int count1=0; scanf("%d", &n); a.resize(n); b.resize(n); for(i = 0; i < n; i++) scanf("%d", &a[i]); for(i = 0; i < n; i++) scanf("%d", &b[i]); pre(n-1, 0, n-1, 0); for(int i = 0; i < level.size(); i++) { if(level[i] != 0&& count1!= n - 1) { printf("%d ", level[i]); count1++; } else if(level[i]!= 0) { printf("%d",level[i]); break; } } return 0; }
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