HDU.1285 确定比赛名次 (拓扑排序 TopSort)
HDU.1285 确定比赛名次 (拓扑排序 TopSort)
题意分析
裸的拓扑排序
详解请移步
算法学习 拓扑排序(TopSort)
只不过这道的额外要求是,输出字典序最小的那组解。那么解决方案就是每次扫描1-n节点的入度,并且只取出1个编号最小的节点,处理他然后继续取,直到所有节点取出,即可满足字典序最小。
代码总览
#include <iostream>
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cstring>
#include <sstream>
#include <set>
#include <map>
#include <queue>
#include <stack>
#include <cmath>
#define nmax 505
#define MEM(x) memset(x,0,sizeof(x))
using namespace std;
int indegree[nmax];
vector<int> v[nmax];
int n,m;
queue<int> ans;
bool suc = true;bool isfirst = true;
void output()
{
while(!ans.empty()){
int t = ans.front(); ans.pop();
if(isfirst){printf("%d",t); isfirst =false;}
else printf(" %d",t);
}
//printf("\n");
}
void topsort()
{
queue<int> q;
while(1){
for(int i = 1; i<=n;++i){
if(indegree[i] == 0){
q.push(i);
ans.push(i);
indegree[i] = -1;
break;
}
}
if(q.empty()) break;
while(!q.empty()){
int t = q.front();q.pop();
for(int i = 0; i<v[t].size();++i){
int tt = v[t][i];
if(indegree[tt] == -1){
suc =false;
break;
}else
indegree[tt] --;
}
v[t].clear();
if(!suc) break;
}
if(!suc) break;
output();
}
if(suc && ans.size() != n) suc = false;
}
int main()
{
//freopen("in.txt","r",stdin);
while(scanf("%d%d",&n,&m) != EOF){
MEM(indegree); suc = true;isfirst = true;
for(int i = 0; i<m; ++i){
int a,b;
scanf("%d%d",&a,&b);
indegree[b]++;
v[a].push_back(b);
}
topsort();
printf("\n");
}
return 0;
}