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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#152968 | #602. 最小费用最大流(随机数据) | fstqwq# | 100 ✓ | 260ms | 5668kb | C++14 | 3.4kb | 2023-08-29 03:20:03 | 2023-08-29 03:20:04 |
Judging History
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"