1110. Complete Binary Tree (25)
Given a tree, you are supposed to tell if it is a complete binary tree.
Input Specification:
Each input file contains one test case. For each case, the first line gives a positive integer N (<=20) 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, 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 case, print in one line "YES" and the index of the last node if the tree is a complete binary tree, or "NO" and the index of the root if not. There must be exactly one space separating the word and the number.
Sample Input 1:9 7 8 - - - - - - 0 1 2 3 4 5 - - - -Sample Output 1:
YES 8Sample Input 2:
8 - - 4 5 0 6 - - 2 3 - 7 - - - -Sample Output 2:
NO 1
#include <cstdio> #include <cstring> #include <queue> #include <iostream> using namespace std; int tree[25][2]; int n,fa; void dfs(){ int last=fa,count=1; queue<int> q; q.push(fa); while(!q.empty()){ int t=q.front(); q.pop(); if(tree[t][0]!=-1){ q.push(tree[t][0]); last=tree[t][0]; count++; } else{ break; } if(tree[t][1]!=-1){ q.push(tree[t][1]); last=tree[t][1]; count++; } else{ break; } } if(count==n){ cout<<"YES "<<last<<endl; } else{ cout<<"NO "<<fa<<endl; } } int Get(){ char s[5]; scanf("%s",s); if(s[0]=='-'){ return -1; } if(s[1]){ return (s[0]-'0')*10+s[1]-'0'; } else{ return s[0]-'0'; } } int main(){ char ch[3]; int book[25]; memset(book,0,sizeof(book)); cin>>n; for(int i=0;i<n;i++){ tree[i][0]=Get(); if(tree[i][0]!=-1) book[tree[i][0]]=1; tree[i][1]=Get(); if(tree[i][1]!=-1) book[tree[i][1]]=1; } for(int i=0;i<n;i++){ if(!book[i]){ fa=i; break; } } dfs(); return 0; }