ZJOI2007 矩阵游戏

#include<cstdio>
#include<algorithm>
#include<cstring>
#include<cmath>
#include<queue>
#define rep(i,a,n) for(int i = a;i <= n;i++)
#define per(i,n,a) for(int i = n;i >= a;i--)
#define enter putchar(‘\n‘)

using namespace std;
const int M = 1005;
const int N = 100005;
const int INF = 1e9;
typedef long long ll;

int read()
{
    int ans = 0,op = 1;
    char ch = getchar();
    while(ch < ‘0‘ || ch > ‘9‘)
    {
        if(ch == ‘-‘) op = -1;
        ch = getchar();
    }
    while(ch >= ‘0‘ && ch <= ‘9‘)
    {
        ans *= 10;
        ans += ch - ‘0‘;
        ch = getchar();
    }
    return ans * op;
}

struct node
{
    int next,to,from,v;
}e[N];
int t,n,deep[M],source,sink,a,head[M],cur[M],ecnt = -1,maxflow;
queue <int> q;

void clear()
{
    memset(head,-1,sizeof(head));
    memset(cur,-1,sizeof(cur));
    ecnt = -1,maxflow = 0;
    source = 0,sink = 401;
    memset(e,0,sizeof(e));
}

void add(int x,int y,int z)
{
    e[++ecnt].to = y;
    e[ecnt].from = x;
    e[ecnt].v = z;
    e[ecnt].next = head[x];
    head[x] = ecnt;    
}

bool bfs(int s,int t)
{
    memset(deep,-1,sizeof(deep));
    rep(i,0,sink+1) cur[i] = head[i];
    while(!q.empty()) q.pop();
    deep[s] = 0,q.push(s);
    while(!q.empty())
    {
        int k = q.front();q.pop();
        for(int i = head[k];i != -1;i = e[i].next)
        {
            if(deep[e[i].to] == -1 && e[i].v)
            deep[e[i].to] = deep[k] + 1,q.push(e[i].to);
        }
    }
    if(deep[t] == -1) return 0;
    else return 1;
}

int dfs(int s,int t,int limit)
{
    if(s == t || !limit) return limit;
    int flow = 0;
    for(int i = cur[s];i != -1;i = e[i].next)
    {
        cur[s] = i;
        if(deep[e[i].to] != deep[s] + 1) continue;
        int f = dfs(e[i].to,t,min(e[i].v,limit));
        if(f)
        {
            e[i].v -= f,e[i^1].v += f;
            flow += f,limit -= f;
            if(!limit) break;
        }
    }
    if(!flow) deep[s] = -2333333;
    return flow;
}

void dinic(int s,int t)
{
    while(bfs(s,t)) maxflow += dfs(s,t,INF);
}

int main()
{
    t = read();
    while(t--)
    {
        clear();
        n = read();
        rep(i,1,n) add(source,i,1),add(i,source,0),add(i+n,sink,1),add(sink,i+n,0);
        rep(i,1,n)
        rep(j,1,n) 
        {
            a = read();
            if(a) add(i,j+n,1),add(j+n,i,0);
        }
        dinic(source,sink);
        if(maxflow == n) printf("Yes\n");
        else printf("No\n");
    }
    return 0;
}