最小不相交路径覆盖问题,最小路径覆盖=原图结点数-新图匹配数

路径输出开个bitset记录每个点是否是存在后继,然后递归输出即可。

#include <cstdio>
#include <vector>
#include <bitset>
#include<iostream>
using namespace std;

int n, m,ans;
bitset<404> vis,st;


int main()
{
    scanf("%d%d", &n, &m);
    vector<vector<int>> g(n + 1);
    vector<int> f(n + 1, 0);

    for (int j = 1, x, y; j <= m; ++j)
    {
        scanf("%d%d", &x, &y);
        g[x].push_back(y);
    }
    auto ck = [&](auto self, int x) -> bool
    {
        for (vector<int>::iterator it = g[x].begin(); it != g[x].end(); ++it)
        {
            if (!vis[*it])
            {
                vis[*it] = 1;
                if (!f[*it] || self(self, f[*it]))
                {
                    st[x]=1;
                    f[*it] = x;
                    return true;
                }
            }
        }
        return false;
    };
    for (int i = 1; i <= n; ++i)
    {
        vis.reset();
        if (ck(ck, i))
        {
            ans += 1;
        }
    }

    auto write=[&](int x,auto self)->void{
        if(f[x]){
            self(f[x],self);
            printf(" %d",x);
        }else printf("%d",x);
    };

    for(int i=1;i<=n;++i){
        if(!st[i]){
            write(i,write);
            printf("\n");
        }
    }
    printf("%d", n-ans);
}
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