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Harry and Magical Computer

Time Limit: 2000/1000 MS (Java/Others)    Memory Limit: 32768/32768 K (Java/Others)
Total Submission(s): 1057    Accepted Submission(s): 430


Problem Description
In reward of being yearly outstanding magic student, Harry gets a magical computer. When the computer begins to deal with a process, it will work until the ending of the processes. One day the computer got n processes to deal with. We number the processes from 1 to n. However there are some dependencies between some processes. When there exists a dependencies (a, b), it means process b must be finished before process a. By knowing all the m dependencies, Harry wants to know if the computer can finish all the n processes.
 

Input
There are several test cases, you should process to the end of file.
For each test case, there are two numbers n m on the first line, indicates the number processes and the number of dependencies. 1≤n≤100,1≤m≤10000
The next following m lines, each line contains two numbers a b, indicates a dependencies (a, b). 1≤a,b≤n
 

Output
Output one line for each test case.
If the computer can finish all the process print "YES" (Without quotes).
Else print "NO" (Without quotes).
 

Sample Input
3 2 3 1 2 1 3 3 3 2 2 1 1 3
 

Sample Output
YES NO

 注意到:When there exists a dependencies (a, b), it means process b must be finished before process a. By knowing all the m dependencies, Harry wants to know if the computer can finish all the n processes.这一句,就是说b一定要在a前面完成,有一种先后关系,很明显拓扑。

代码:

#include <iostream>
#include <cstdio>
#include <cstring>
#include <algorithm>
#include <queue>
#include <vector>
using namespace std;
const int M = 105;
struct node{
int to, next;
}e[M*M];
bool vis[M];
int in[M], head[M*M];
int n, m, tot;
void init(){
/*for(int i = 0; i < M; ++ i){
/map[i].clear();
in[i] = 0;
vis[i] = 0;
}*/
memset(in, 0, sizeof(in));
memset(head, -1, sizeof(head));
}
void add(int a, int b){
e[tot].to = a;
e[tot].next = head[b];
head[b] = tot++;
}
bool topo(){
memset(vis, 0, sizeof(vis));
int cou = 0, num;
queue<int >q;
for(int i = 1; i <= n; ++i)
if(!in[i]){
vis[i] = 1;q.push(i);
}
while(!q.empty()){
int temp = q.front(); q.pop(); ++cou;
for(int i = head[temp]; ~i; i = e[i].next){
int v = e[i].to;
if(!(--in[v])&&!vis[v]){
q.push(v);
vis[v] = 1;
}
}
}
if(cou == n) return 1;
else return 0;
}
int main(){
while(scanf("%d%d", &n, &m) == 2){
init();
int a, b;
tot = 0;
for(int i = 0; i < m; ++ i){
scanf("%d%d", &a, &b);
add(a, b); ++in[a];
}
//cout << "sad"<<endl;
bool flag = topo();
if(flag) cout << "YESn";
else cout << "NOn";
}
return 0;
}


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