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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#447133#4809. Maximum RangeIBoryWA 31ms18448kbC++203.5kb2024-06-17 23:40:382024-06-17 23:40:39

Judging History

你现在查看的是最新测评结果

  • [2024-06-17 23:40:39]
  • 评测
  • 测评结果:WA
  • 用时:31ms
  • 内存:18448kb
  • [2024-06-17 23:40:38]
  • 提交

answer

#include <bits/stdc++.h>
#define pii pair<int, int>
using namespace std;

const int MAX = 100007;
vector<int> G[MAX], B[MAX];
pii P[MAX];
int E[MAX], V[MAX], H[MAX], C[MAX], cn, dn;

int DFS(int cur, int prev) {
	int& ret = H[cur];
	ret = V[cur] = ++dn;
	for (int next : G[cur]) {
		if (next == prev) continue;
		if (V[next]) ret = min(ret, V[next]);
		else ret = min(ret, DFS(next, cur));
	}
	return ret;
}

void Color(int cur, int c) {
	C[cur] = c;
	for (int next : G[cur]) {
		if (C[next]) continue;
		if (V[cur] < H[next]) Color(next, ++cn);
		else Color(next, c);
	}
}

const int MAX_N = 111111;
const int MAX_E = 444444;

struct Dinic {
	vector<pii> G[MAX_N];
	int lim[MAX_E], use[MAX_E], en;
	int lv[MAX_N], idx[MAX_N], src, snk;

	void AddEdge(int a, int b, int c) {
		G[a].emplace_back(b, en);
		G[b].emplace_back(a, en ^ 1);
		lim[en] = c;
		en += 2;
	}

	bool BFS(bool init = 0) {
		memset(lv, -1, sizeof(lv));
		queue<int> Q;
		Q.push(src);
		lv[src] = 0;
		while (!Q.empty()) {
			int cur = Q.front(); Q.pop();
			for (auto [next, en] : G[cur]) {
				if (lv[next] != -1) continue;
				if (init ^ (lim[en] == use[en])) continue;
				lv[next] = lv[cur] + 1;
				Q.push(next);
			}
		}
		return lv[snk] != -1;
	}

	int DFS(int cur, int res = 1e9) {
		if (cur == snk) return res;
		for (int& i = idx[cur]; i < G[cur].size(); ++i) {
			auto& [next, en] = G[cur][i];
			if (lv[cur] + 1 != lv[next] || lim[en] == use[en]) continue;
			int f = DFS(next, min(res, lim[en] - use[en]));
			if (f) {
				use[en] += f;
				use[en ^ 1] -= f;
				return f;
			}
		}
		return 0;
	}

	int Flow(int S, int E) {
		src = S, snk = E;
		int ret = 0;
		while (BFS() && ret < 2) {
			memset(idx, 0, sizeof(idx));
			int t = 0;
			while (t = DFS(src)) ret += t;
		}
		return ret;
	}

	vector<int> TR;
	int DFS2(int cur) {
		if (cur == snk) return 1;
		for (auto [next, en] : G[cur]) {
			if (lv[cur] + 1 != lv[next] || lim[en] != use[en]) continue;
			if (DFS2(next)) {
				TR.push_back(cur);
				use[en]--;
				use[en ^ 1]++;
				return 1;
			}
		}
		return 0;
	}

	vector<int> Path() {
		TR.clear();
		BFS(1);
		DFS2(src);
		if (TR.empty()) exit(0);
		TR.pop_back();
		reverse(TR.begin(), TR.end());
		return TR;
	}
} F;

int main() {
	ios::sync_with_stdio(0); cin.tie(0);
	int N, M;
	cin >> N >> M;
	for (int i = 1; i <= M; ++i) {
		int a, b;
		cin >> a >> b >> E[i];
		G[a].push_back(b);
		G[b].push_back(a);
		P[i] = {a, b};
	}

	DFS(1, 0); Color(1, ++cn);
	for (int i = 1; i <= M; ++i) {
		auto [a, b] = P[i];
		if (C[a] == C[b]) B[C[a]].push_back(i);
	}

	int ans = -1, id = -1;
	for (int i = 1; i <= cn; ++i) {
		if (B[i].size() < 2) continue;
		sort(B[i].begin(), B[i].end(), [&](int a, int b) {
			return E[a] < E[b];
		});
		int t = E[B[i].back()] - E[B[i][0]];
		if (ans < t) {
			ans = t;
			id = i;
		}
	}

	if (id == -1) {
		cout << 0;
		return 0;
	}

	auto [a, b] = P[B[id][0]];
	auto [c, d] = P[B[id].back()];

	for (int e : B[id]) {
		auto [p, q] = P[e];
		if (e == B[id][0] || e == B[id].back()) continue;
		F.AddEdge(p, q, 1);
		F.AddEdge(q, p, 1);
	}
	int src = N + 1, snk = N + 2;
	F.AddEdge(src, a, 1); F.AddEdge(src, b, 1);
	F.AddEdge(c, snk, 1); F.AddEdge(d, snk, 1);
	F.Flow(src, snk);

	vector<int> P1 = F.Path();
	vector<int> P2 = F.Path();
	reverse(P2.begin(), P2.end());
	for (int n : P2) P1.push_back(n);

	cout << ans << '\n';
	cout << P1.size() << '\n';
	for (int n : P1) cout << n << ' ';
	return 0;
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 100
Accepted
time: 0ms
memory: 10900kb

input:

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

output:

5
4
3 4 5 1 

result:

ok ok

Test #2:

score: 0
Accepted
time: 31ms
memory: 17084kb

input:

99997 100000
12238 99016 352755196
99016 25485 -412473602
25485 2440 991507552
2440 31171 -181894654
36970 2440 -800167579
2440 41865 -148191946
96629 31171 847888506
36970 95740 395546542
27992 2440 647886610
99016 29557 369124914
80795 27992 -673871966
36970 3509 573208857
57672 29557 874406776
41...

output:

1959330954
37
31171 2440 25485 99016 29557 57672 69259 68883 44442 4697 96048 94991 86274 74677 92617 86665 76022 72089 22074 96230 87712 51491 72825 3463 84407 67966 89628 84997 54073 68523 30288 88289 37694 96778 46301 34883 95092 

result:

ok ok

Test #3:

score: 0
Accepted
time: 30ms
memory: 16828kb

input:

99997 100000
41884 21178 -431811360
41884 42699 -450057006
36523 21178 582079730
21178 96679 615552614
63637 21178 498974417
96679 5108 235820276
75058 41884 220112636
35148 42699 589595309
36523 18002 -637739861
65854 5108 -312755792
45137 41884 -511118771
5108 31311 554050951
25335 35148 -28341059...

output:

1968439328
40
70298 99716 98733 71151 55330 83919 83711 38202 85192 45137 41884 42699 87673 23692 98098 99686 71024 89860 18331 78274 35287 14678 59612 54901 26981 83047 87303 41126 28694 6204 50088 5108 7577 69337 51434 52252 25926 90144 26071 33264 

result:

ok ok

Test #4:

score: 0
Accepted
time: 30ms
memory: 18312kb

input:

99984 99999
33974 29867 335681778
33974 87468 348956829
83048 87468 320849805
29867 69456 -424530698
72457 69456 -950650074
53838 83048 755969166
85914 69456 569454441
51728 87468 -202158773
15970 29867 -865071002
15970 94894 697607001
94894 74694 616318126
33974 11496 -89287579
53838 34365 -6577379...

output:

1985932414
36
11395 303 46598 61993 55857 79605 58540 57640 55808 85914 75496 32897 79841 13570 35807 50114 80694 78849 28078 91542 83656 97838 70238 5449 75902 51728 87468 83048 53838 29864 76013 1652 83298 23026 27866 92249 

result:

ok ok

Test #5:

score: -100
Wrong Answer
time: 29ms
memory: 18448kb

input:

99988 99992
8584 11873 -811540160
68064 11873 -930246087
11873 60056 916668870
68064 82193 -859062523
60056 75072 790866030
27767 75072 357619485
75072 78221 411650300
39636 82193 264106928
6675 60056 933851261
71747 78221 -508471038
11873 92771 -665232168
34402 27767 -906494982
11873 42714 63734230...

output:

1932268861
34
93559 21107 26922 8975 89787 32701 6675 60056 75072 91957 3186 29873 5185 88236 50628 2518 83283 23798 89787 32701 6675 28745 99809 8778 38274 64174 34179 75176 25891 62720 16385 20678 83884 75593 

result:

wrong answer Cycle contains repeated edge 32701-89787