题意:
有向图找三元环
思路:
根据题意,每两个点之间一定有切仅有一条有向边,所以图中不存在三元环的情况只有一种,点入度从小到大排序后为1到n。
代码:
#include <iostream>
#include <iomanip>
#include <algorithm>
#include <cstring>
#include <cctype>
#include <cstdlib>
#include <cstdio>
#include <cmath>
#include <ctime>
#include <map>
#include <list>
#include <set>
#include <stack>
#include <queue>
#include <string>
#include <sstream>
#define pb push_back
#define X first
#define Y second
#define ALL(x) x.begin(),x.end()
#define INS(x) inserter(x,x.begin())
#define pii pair<int,int>
#define qclear(a) while(!a.empty())a.pop();
#define lowbit(x) (x&-x)
#define sd(n) scanf("%d",&n)
#define sdd(n,m) scanf("%d%d",&n,&m)
#define sddd(n,m,k) scanf("%d%d%d",&n,&m,&k)
#define mst(a,b) memset(a,b,sizeof(a))
#define cout3(x,y,z) cout<<x<<" "<<y<<" "<<z<<endl
#define cout2(x,y) cout<<x<<" "<<y<<endl
#define cout1(x) cout<<x<<endl
#define IOS std::ios::sync_with_stdio(false)
#define SRAND srand((unsigned int)(time(0)))
typedef long long ll;
typedef unsigned long long ull;
typedef unsigned int uint;
using namespace std;
const double PI=acos(-1.0);
const int INF=0x3f3f3f3f;
const ll mod=998244353;
const double eps=1e-5;
const int maxn=2005;
const int maxm=10005;
int n;
char maps[maxn][maxn];
int indeg[maxn];
bool ok=0;
void solve() {
int t;
int kase=1;
sd(t);
while(t--) {
mst(indeg,0);
ok=0;
sd(n);
getchar();
for(int i=0; i<n; i++) {
for(int j=0; j<n; j++) {
maps[i][j]=getchar();
if(maps[i][j]=='0')
indeg[i]++;
}
getchar();
}
sort(indeg,indeg+n);
for(int i=0; i<n; i++) {
if(indeg[i]!=i+1) {
ok=1;
continue;
}
}
printf("Case #%d: ",kase++);
if(ok)
printf("Yes\n");
else
printf("No\n");
}
return ;
}
int main() {
#ifdef LOCAL
freopen("in.txt","r",stdin);
// freopen("out.txt","w",stdout);
#else
// freopen("","r",stdin);
// freopen("","w",stdout);
#endif
solve();
return 0;
}