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ID题目提交者结果用时内存语言文件大小提交时间测评时间
#97657#6329. Colorful Graphwhatever#WA 5ms8484kbC++143.6kb2023-04-17 20:30:042023-04-17 20:30:05

Judging History

你现在查看的是最新测评结果

  • [2023-08-10 23:21:45]
  • System Update: QOJ starts to keep a history of the judgings of all the submissions.
  • [2023-04-17 20:30:05]
  • 评测
  • 测评结果:WA
  • 用时:5ms
  • 内存:8484kb
  • [2023-04-17 20:30:04]
  • 提交

answer

#include <bits/stdc++.h>
using namespace std;
mt19937_64 rnd(chrono::steady_clock::now().time_since_epoch().count());
using pii = pair<int, int>;
using i64 = long long;
#define rep(i, a, b) for (int i = a, I = b; i <= I; ++i)
#define per(i, a, b) for (int i = a, I = b; i >= I; --i)
template<typename T> void up(T &x, T y) { if (x < y) x = y; }
template<typename T> void down(T &x, T y) { if (x > y) x = y; }

const int N = 7005, inf = 1e9;
int n, m, a[N], b[N], c[N], bel[N], que[N], to[N], top, cnt, d[N];
vector<int> e1[N], e2[N];
bool vis[N];

void dfs1(int u) {
    vis[u] = 1;
    for (auto v : e2[u]) if (!vis[v]) dfs1(v);
    que[++top] = u;
}
void dfs2(int u, int c) {
    bel[u] = c;
    for (auto v : e1[u]) if (!bel[v]) dfs2(v, c);
}

vector<int> A, B;
namespace flow {
	const int N = 14005, M = 123456;
	int n, s, t, d[N], que[N], cap[M], res;
	int cnt = 1, head[N], cur[N], to[M], nxt[M], val[M];

	void addedge(int u, int v, int w) {
		to[++cnt] = v;
        cap[cnt] = val[cnt] = w;
		nxt[cnt] = head[u];
		head[u] = cnt;
	}
	void add(int u, int v, int w) {
		addedge(u, v, w);
		addedge(v, u, 0); 
	}
	bool bfs() {
		int l = 1, r = 0;
		for(int i = 0; i <= n; ++i) cur[i] = head[i], d[i] = 0;
		que[++r] = s, d[s] = 1;
		while(l <= r) {
			int u = que[l++];
			for(int i = head[u]; i; i = nxt[i]) {
				int v = to[i], w = val[i];
				if(d[v] || !w) continue;
				d[v] = d[u] + 1;
				que[++r] = v;
			}
		} 
		return d[t];
	}
	int dfs(int u, int flow) {
		if(u == t) return flow;
		int rest = flow;
		for(int &i = cur[u]; i; i = nxt[i]) {
			int v = to[i], w = val[i];
			if(d[v] != d[u] + 1 || !w) continue;
			int k = dfs(v, min(flow, w));
			if(!k) d[v] = 0;
			rest -= k;
			val[i] -= k, val[i ^ 1] += k; 
			if(!rest) break;
		}
		return flow - rest;
	}
	int dinic() {
		res = 0;
		while(bfs()) res += dfs(s, inf); 
		return res;
	}

    struct edge {
        int to, nxt, val;
    } e[M];
    int hd[N], tot;

    void get_path(int u) {
        for (int &i = hd[u]; i; ) {
            int v = e[i].to;
            if (!--e[i].val) i = e[i].nxt;
            get_path(v);
            if (v == t) B.push_back(u);
            if (u == s) A.push_back(v);
        }
    }
    void solve() {
        rep(u, 0, n) {
            for (int i = head[u]; i; i = nxt[i]) {
                if (!cap[i]) continue;
                int f = cap[i] - val[i];
                if (!f) continue;
                int v = to[i];
                e[++tot] = {v, hd[u], f}, hd[u] = tot;
            }
        }
        e[++tot] = {s, hd[t], res}, hd[t] = tot;
        get_path(s);
    }
}

int main() {
    ios::sync_with_stdio(0), cin.tie(0);

    cin >> n >> m;
    rep(i, 1, m) {
        cin >> a[i] >> b[i];
        e1[a[i]].push_back(b[i]);
        e2[b[i]].push_back(a[i]);
    }
    rep(i, 1, n) if (!vis[i]) dfs1(i);
    per(i, n, 1) {
        int u = que[i];
        if (!bel[u]) dfs2(u, ++cnt);
    }
    
    flow::s = 0, flow::t = flow::n = 2 * cnt + 1;
    rep(i, 1, cnt) flow::add(flow::s, i, 1), flow::add(i + cnt, flow::t, 1);
    rep(i, 1, cnt) flow::add(i + cnt, i, inf);
    rep(i, 1, m) {
        int u = bel[a[i]], v = bel[b[i]];
        if (u == v) continue;
        flow::add(u, v + cnt, 1);
    }

    int res = flow::dinic();
    flow::solve();
    rep(i, 0, res - 1) {
        to[A[i]] = B[i] - cnt, ++d[B[i] - cnt];
    }
    int tot = 0;
    rep(u, 1, cnt) {
        if (d[u]) continue;
        c[u] = ++tot;
        int x = u;
        while (to[x]) x = to[x], c[x] = tot;
    }
    rep(i, 1, n) cout << c[bel[i]] << " \n"[i == n];

    return 0;
}

详细

Test #1:

score: 100
Accepted
time: 1ms
memory: 5920kb

input:

5 5
1 4
2 3
1 3
2 5
5 1

output:

2 2 2 1 2

result:

ok AC

Test #2:

score: 0
Accepted
time: 1ms
memory: 5736kb

input:

5 7
1 2
2 1
4 3
5 1
5 4
4 1
4 5

output:

2 2 1 2 2

result:

ok AC

Test #3:

score: 0
Accepted
time: 2ms
memory: 5952kb

input:

8 6
6 1
3 4
3 6
2 3
4 1
6 4

output:

4 4 4 4 3 4 2 1

result:

ok AC

Test #4:

score: -100
Wrong Answer
time: 5ms
memory: 8484kb

input:

7000 6999
4365 4296
2980 3141
6820 4995
4781 24
2416 5844
2940 2675
3293 2163
3853 5356
262 6706
1985 1497
5241 3803
353 1624
5838 4708
5452 3019
2029 6161
3849 4219
1095 1453
4268 4567
1184 1857
2911 3977
1662 2751
6353 6496
2002 6628
1407 4623
425 1331
4445 4277
1259 3165
4994 1044
2756 5788
5496 ...

output:

3499 1657 1326 1564 2888 2306 2494 1365 1110 1505 3350 3456 2476 3381 1519 2552 1109 2684 1060 1059 1257 1058 3213 1498 1662 3330 2542 2688 1404 1772 1171 1198 1993 2602 1357 1358 1057 2165 3278 2055 1525 1158 3214 1056 2100 1055 1868 3258 2072 3180 884 2575 1292 2791 1647 883 3317 2157 1025 3386 11...

result:

wrong answer Integer 3499 violates the range [1, 1750]