Cod sursa(job #3217894)

Utilizator Maftei_TudorMaftei Tudor Maftei_Tudor Data 25 martie 2024 09:22:08
Problema Felinare Scor 100
Compilator cpp-64 Status done
Runda Arhiva de probleme Marime 1.92 kb
#include <iostream>
#include <vector>
#include <cstring>

#define pb push_back

using namespace std;
const int N = 8200;

int n, m, ans[N], cuplat[2*N];
bool vzt[2*N];
vector<int> g[2*N];

void cupleaza(int a, int b) {
    cuplat[cuplat[a]] = 0;
    cuplat[a] = b;
    cuplat[cuplat[b]] = 0;
    cuplat[b] = a;
}
bool match(int nod) {
    vzt[nod] = 1;
    for(auto nxt : g[nod])
        if(!vzt[nxt]) {
            vzt[nxt] = 1;
            if(!cuplat[nxt]) {
                cupleaza(nod, nxt);
                return 1;
            }
            else if(match(cuplat[nxt])) {
                cupleaza(nod, nxt);
                return 1;
            }
        }

    return 0;
}
void dfs(int nod) {
    vzt[nod] = 1;
    for(auto nxt : g[nod])
        if(!vzt[nxt]) {
            if(nod <= n) {
                if(nxt != cuplat[nod])
                    dfs(nxt);
            }
            else {
                if(nxt == cuplat[nod])
                    dfs(nxt);
            }
        }
}

int main()
{
    freopen("felinare.in", "r", stdin);
    freopen("felinare.out", "w", stdout);
    cin.tie(nullptr)->sync_with_stdio(0);

    cin >> n >> m;
    for(int i=1; i<=m; i++) {
        int x, y;
        cin >> x >> y;
        g[x].pb(y+n);
        g[y+n].pb(x);
    }

    bool ok = 1;
    while(ok) {
        ok = 0;
        for(int i=1; i<=n+n; i++)
            if(!vzt[i] && !cuplat[i])
                ok |= match(i);

        for(int i=1; i<=2*n+1; i++)
            vzt[i] = 0;
    }

    for(int i=1; i<=n; i++)
        if(!cuplat[i])
            dfs(i);

    for(int i=1; i<=n; i++)
        ans[i] |= vzt[i];
    for(int i=n+1; i<=2*n; i++)
        ans[i-n] |= 2 * !vzt[i];

    int cnt = 0;
    for(int i=1; i<=n; i++)
        cnt += __builtin_popcount(ans[i]);
    cout << cnt << '\n';
    for(int i=1; i<=n; i++)
        cout << ans[i] << '\n';
    return 0;
}