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QOJ
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 |
---|---|---|---|---|---|---|---|---|---|
#724174 | #602. 最小费用最大流(随机数据) | ucup-team902 | 100 ✓ | 197ms | 4160kb | C++23 | 3.4kb | 2024-11-08 10:35:17 | 2024-11-08 10:35:17 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
typedef long long ll;
namespace mcmf {
const int N = 405;
const ll inf = INT_MAX;
struct edge {
int v, p;
ll c, w;
};
vector<edge> g[N];
int vis[N], cur[N], n;
ll dis[N], pot[N];
int addv(int c) {
while (c--) g[n++].clear();
return n - 1;
}
void adde(int u, int v, ll c, ll w) {
g[u].push_back({v, (int)g[v].size(), c, w});
g[v].push_back({u, (int)g[u].size() - 1, 0, -w});
}
bool dijkstra(int s, int t) {
fill_n(dis, n, inf);
fill_n(vis, n, 0);
typedef pair<ll, int> pli;
priority_queue<pli, vector<pli>, greater<pli>> q;
q.push({dis[s] = 0, s});
while (!q.empty()) {
int u;
ll du;
tie(du, u) = q.top();
q.pop();
if (vis[u]) continue;
vis[u] = 1;
for (edge e : g[u]) {
int v = e.v;
ll dv = du + pot[u] + e.w - pot[v];
if (!e.c || vis[v] || dis[v] <= dv) continue;
assert(e.w - pot[v] + pot[u] >= 0);
q.push({dis[v] = dv, v});
}
}
return vis[t];
}
bool dinic_bfs(int s, int t) {
fill_n(vis, n, 0);
queue<int> q;
q.push(s);
vis[s] = 1;
while (!q.empty()) {
int u = q.front();
q.pop();
for (edge e : g[u]) {
int v = e.v;
if (vis[v] || !e.c) continue;
if (dis[v] != dis[u] + e.w - pot[v] + pot[u]) continue;
vis[v] = vis[u] + 1;
q.push(v);
}
}
return vis[t] != 0;
}
ll dinic_dfs(int u, int t, ll f) {
if (u == t)
return f;
ll sf = 0;
for (int& i = cur[u]; i != g[u].size(); ++i) {
edge& e = g[u][i];
int v = e.v;
if (!e.c || vis[v] != vis[u] + 1) continue;
if (dis[v] != dis[u] + e.w - pot[v] + pot[u]) continue;
ll df = dinic_dfs(v, t, min(e.c, f));
sf += df;
f -= df;
e.c -= df;
g[v][e.p].c += df;
if (!f) break;
}
return sf;
}
void initiate_potential() {
queue<int> q;
for (int i = 0; i < n; ++i)
q.push(i), vis[i] = 1;
while (!q.empty()) {
int u = q.front();
q.pop();
vis[u] = 0;
for (edge e : g[u]) {
ll dv = pot[u] + e.w;
if (!e.c || dv >= pot[e.v]) continue;
pot[e.v] = dv;
if (!vis[e.v]) q.push(e.v), vis[e.v] = 1;
}
}
}
pair<ll, ll> mincostflow(int s, int t, ll mf = inf) {
ll sf = 0, sc = 0;
fill_n(pot + 1, n, 0);
// initiate_potential();
while (dijkstra(s, t)) {
ll f = 0;
while (dinic_bfs(s, t)) {
fill_n(cur, n, 0);
ll df = dinic_dfs(s, t, mf);
mf -= df;
f += df;
if (!mf) break;
}
sf += f;
sc += (dis[t] + pot[t]) * f;
for (int i = 0; i < n; ++i) pot[i] += dis[i];
if (!mf) break;
}
return {sf, sc};
}
} // namespace mcmf
int main() {
ios::sync_with_stdio(false);
cin.tie(0);
cout.tie(0);
int n, m;
cin >> n >> m;
for (int i = 0; i < m; ++i) {
int x, y;
ll c, w;
cin >> x >> y >> c >> w;
mcmf::adde(x, y, c, w);
}
mcmf::n = n + 2;
auto ans = mcmf::mincostflow(1, n);
cout << ans.first << " " << ans.second << endl;
}
詳細信息
Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 1ms
memory: 3784kb
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: 0ms
memory: 3600kb
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: 3640kb
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: 11ms
memory: 3804kb
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: 26ms
memory: 4064kb
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: 23ms
memory: 3844kb
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: 23ms
memory: 3864kb
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: 150ms
memory: 4160kb
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: 197ms
memory: 4120kb
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: 192ms
memory: 4108kb
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"