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IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#152968#602. 最小费用最大流(随机数据)fstqwq#100 ✓260ms5668kbC++143.4kb2023-08-29 03:20:032023-08-29 03:20:04

Judging History

This is the latest submission verdict.

  • [2023-08-29 03:20:04]
  • Judged
  • Verdict: 100
  • Time: 260ms
  • Memory: 5668kb
  • [2023-08-29 03:20:03]
  • Submitted

answer

#include <bits/stdc++.h>
using namespace std;


#pragma GCC optimize("Ofast,unroll-loops")
#pragma GCC target("avx2,tune=native")

typedef long long LL;
typedef pair <LL, int> pii;
const int N = 4855;
const LL INF = 0x3f3f3f3f3f3f;

inline int read() {
	int ch = getchar(), a = 0;
	while (ch < '0') ch = getchar();
	while (ch >= '0') a = a * 10 + ch - '0', ch = getchar();
	return a;
}



struct edge {
	int nxt, v, w, f;
} e[N * 1000];

int n, m, S, T, ecnt = 1;
int head[N], cur[N], dep[N];

void init () {
	memset (e, 0, sizeof (edge) * (ecnt + 1));
	memset (head, 0, sizeof (int) * (T + 2));
	ecnt = 1;
}

void add (int u, int v, LL w, int f = 1) {
	e[++ecnt] = {head[u], v, w, f}; head[u] = ecnt;
	e[++ecnt] = {head[v], u, -w, 0}; head[v] = ecnt;
}

LL h[N], dis[N];
bool vis[N];
int q[N];

bool bfs() {
  memcpy(cur, head, sizeof (int) * (T + 1)); // CHECK size
  memset(dep, 0x3f, sizeof (int) * (T + 1)); // CHECK size
  dep[S] = 0;
  int he = 0, t = 1;
  q[he] = S;
  while (he < t) {
  	 int x = q[he++];
  	 if (x == T) break;
    for (int i = head[x]; i; i = e[i].nxt) {
      int d = e[i].v;
      if (e[i].f > 0 && h[d] == h[x] + e[i].w
      && dep[d] > dep[x] + 1) {
        dep[d] = dep[x] + 1, q[t++] = d;
  } } }
  return dep[T] <= T;
}
int dfs(int x, int lim) {
  if (x == T || !lim) return lim;
  int f = 0, flow = 0;
  for (int &i = cur[x]; i && lim; i = e[i].nxt) {
    int d = e[i].v;
    if ((dep[d] == dep[x] + 1) && h[e[i].v] == e[i].w + h[x] 
    && (f = dfs(d, min(lim, e[i].f)))) {
      e[i].f -= f; e[i ^ 1].f += f;
      flow += f; lim -= f;
      if (lim == 0) break;
  } } return flow;
}


void solve() { // return {flow, cost}
  int flow = 0; LL val = 0;
  for (int i = 0; i <= T; ++i) h[i] = 0;
  int first = true;
  while (flow < m) {
    for (int i = S; i <= T; i++) dis[i] = INF;
	dis[S] = 0;
	if (first) {
		queue <int> q;
		q.push(S);
		while (!q.empty()) {
			int x = q.front(); q.pop();
			vis[x] = false;
			for (int o = head[x]; o; o = e[o].nxt) {
				LL w = dis[x] + e[o].w + h[x] - h[e[o].v];
				if (e[o].f > 0 && dis[e[o].v] > w) {
					dis[e[o].v] = w;
					if (!vis[e[o].v]) {
						vis[e[o].v] = 1;
						q.push(e[o].v);
					}
				}
			}
		}

		first = false;
	} else {
		priority_queue<pii, vector<pii>, greater<pii>> q;
		q.push(pii(0ll, S));
		while (!q.empty()) {
			pii now = q.top(); q.pop(); int x = now.second;
			if (dis[x] < now.first) continue;
			for (int o = head[x]; o; o = e[o].nxt) {
				LL w = dis[x] + e[o].w + h[x] - h[e[o].v];
				if (e[o].f > 0 && dis[e[o].v] > w) {
					dis[e[o].v] = w; q.push(pii(w, e[o].v));
				}
			}
		}
	}
    if (dis[T] >= INF) break;
    for (int i = 0; i <= T; ++i) {
        assert ((double)h[i] + dis[i] < INF * (m + 1));
        h[i] += dis[i];
    }
    //cerr << "dis : " << h[T] << endl;
    int fl = 0; 

    while (bfs()) fl += dfs(S, 1e9);
    //bfs(); fl += dfs(S, 1e9);
    val += fl * h[T];
    flow += fl;
  }
  cout << flow << " " << val << endl;
 
}


int a[N], b[N];

void work () {
	n = read(); m = read();
	for (int i = 1; i <= m; i++) {
		int s, t, c, w;
		s = read(); t = read(); c = read(); w = read();
		add (s, t, w, c);
	}
	S = 1; T = n; solve();

}


int main() {
//	int test = read();
	int test = 1;
	for (int i = 1; i <= test; i++) {
//		printf("Case #%d:\n", i);
		work();
	}
}

Details

Tip: Click on the bar to expand more detailed information

Test #1:

score: 10
Accepted
time: 1ms
memory: 3420kb

input:

8 27
2 3 2147483647 100
1 3 1 100
2 4 2147483647 10
1 4 1 10
2 4 2147483647 10
1 4 1 10
2 8 3 0
3 5 2147483647 100
1 5 1 100
3 8 1 0
3 2 2147483647 0
4 5 2147483647 10
1 5 1 10
4 8 1 0
4 2 2147483647 0
5 6 2147483647 1
1 6 1 1
5 6 2147483647 1
1 6 1 1
5 7 2147483647 1
1 7 1 1
5 8 3 0
5 2 2147483647 ...

output:

8 243

result:

ok 2 number(s): "8 243"

Test #2:

score: 10
Accepted
time: 1ms
memory: 3620kb

input:

12 49
2 10 2147483647 5
1 10 1 5
2 5 2147483647 50
1 5 1 50
2 9 2147483647 8
1 9 1 8
2 8 2147483647 47
1 8 1 47
2 11 2147483647 17
1 11 1 17
2 12 5 0
3 12 0 0
3 2 2147483647 0
4 6 2147483647 18
1 6 1 18
4 11 2147483647 12
1 11 1 12
4 9 2147483647 14
1 9 1 14
4 12 3 0
4 2 2147483647 0
5 11 2147483647...

output:

15 436

result:

ok 2 number(s): "15 436"

Test #3:

score: 10
Accepted
time: 1ms
memory: 3424kb

input:

27 169
2 15 2147483647 24
1 15 1 24
2 19 2147483647 96
1 19 1 96
2 12 2147483647 49
1 12 1 49
2 13 2147483647 75
1 13 1 75
2 24 2147483647 2
1 24 1 2
2 27 5 0
3 27 0 0
3 2 2147483647 0
4 11 2147483647 99
1 11 1 99
4 3 2147483647 85
1 3 1 85
4 27 2 0
4 2 2147483647 0
5 27 0 0
5 2 2147483647 0
6 9 214...

output:

60 4338

result:

ok 2 number(s): "60 4338"

Test #4:

score: 10
Accepted
time: 14ms
memory: 3636kb

input:

77 2149
2 42 2147483647 33
1 42 1 33
2 68 2147483647 30
1 68 1 30
2 76 2147483647 13
1 76 1 13
2 51 2147483647 93
1 51 1 93
2 12 2147483647 39
1 12 1 39
2 57 2147483647 74
1 57 1 74
2 70 2147483647 21
1 70 1 21
2 73 2147483647 24
1 73 1 24
2 52 2147483647 54
1 52 1 54
2 15 2147483647 99
1 15 1 99
2 ...

output:

1000 74606

result:

ok 2 number(s): "1000 74606"

Test #5:

score: 10
Accepted
time: 28ms
memory: 5668kb

input:

102 4199
2 48 2147483647 42
1 48 1 42
2 85 2147483647 50
1 85 1 50
2 22 2147483647 83
1 22 1 83
2 95 2147483647 97
1 95 1 97
2 82 2147483647 34
1 82 1 34
2 25 2147483647 72
1 25 1 72
2 4 2147483647 17
1 4 1 17
2 47 2147483647 10
1 47 1 10
2 71 2147483647 12
1 71 1 12
2 68 2147483647 39
1 68 1 39
2 2...

output:

2000 161420

result:

ok 2 number(s): "2000 161420"

Test #6:

score: 10
Accepted
time: 29ms
memory: 3732kb

input:

102 4199
2 79 2147483647 13
1 79 1 13
2 83 2147483647 73
1 83 1 73
2 75 2147483647 90
1 75 1 90
2 30 2147483647 92
1 30 1 92
2 54 2147483647 25
1 54 1 25
2 66 2147483647 53
1 66 1 53
2 52 2147483647 37
1 52 1 37
2 63 2147483647 46
1 63 1 46
2 11 2147483647 20
1 11 1 20
2 55 2147483647 53
1 55 1 53
2...

output:

2000 143072

result:

ok 2 number(s): "2000 143072"

Test #7:

score: 10
Accepted
time: 28ms
memory: 3752kb

input:

102 4199
2 39 2147483647 45
1 39 1 45
2 51 2147483647 11
1 51 1 11
2 86 2147483647 63
1 86 1 63
2 23 2147483647 46
1 23 1 46
2 48 2147483647 63
1 48 1 63
2 87 2147483647 8
1 87 1 8
2 73 2147483647 63
1 73 1 63
2 5 2147483647 52
1 5 1 52
2 80 2147483647 21
1 80 1 21
2 31 2147483647 44
1 31 1 44
2 101...

output:

2000 146132

result:

ok 2 number(s): "2000 146132"

Test #8:

score: 10
Accepted
time: 196ms
memory: 3960kb

input:

302 10599
2 72 2147483647 169
1 72 1 169
2 260 2147483647 165
1 260 1 165
2 12 2147483647 108
1 12 1 108
2 16 2147483647 26
1 16 1 26
2 28 2147483647 148
1 28 1 148
2 7 2147483647 74
1 7 1 74
2 139 2147483647 199
1 139 1 199
2 231 2147483647 9
1 231 1 9
2 287 2147483647 123
1 287 1 123
2 135 2147483...

output:

5000 1106316

result:

ok 2 number(s): "5000 1106316"

Test #9:

score: 10
Accepted
time: 260ms
memory: 3876kb

input:

302 10599
2 222 2147483647 132
1 222 1 132
2 17 2147483647 7
1 17 1 7
2 177 2147483647 253
1 177 1 253
2 90 2147483647 195
1 90 1 195
2 128 2147483647 289
1 128 1 289
2 42 2147483647 193
1 42 1 193
2 213 2147483647 133
1 213 1 133
2 263 2147483647 293
1 263 1 293
2 50 2147483647 155
1 50 1 155
2 228...

output:

5000 1290871

result:

ok 2 number(s): "5000 1290871"

Test #10:

score: 10
Accepted
time: 255ms
memory: 3808kb

input:

302 10599
2 176 2147483647 289
1 176 1 289
2 190 2147483647 99
1 190 1 99
2 10 2147483647 96
1 10 1 96
2 240 2147483647 165
1 240 1 165
2 273 2147483647 205
1 273 1 205
2 248 2147483647 194
1 248 1 194
2 220 2147483647 122
1 220 1 122
2 194 2147483647 167
1 194 1 167
2 8 2147483647 67
1 8 1 67
2 227...

output:

5000 1395897

result:

ok 2 number(s): "5000 1395897"