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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#473075 | #602. 最小费用最大流(随机数据) | yaoxi_std# | 100 ✓ | 378ms | 4104kb | C++14 | 3.5kb | 2024-07-11 21:38:33 | 2024-07-11 21:38:34 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
#define debug(fmt, ...) \
fprintf(stderr, "[%d] " fmt "\n", __LINE__, ##__VA_ARGS__)
template <class _Tx, class _Ty>
inline void chkmin(_Tx& x, const _Ty& y) {
x = min<common_type_t<_Tx, _Ty>>(x, y);
}
template <class _Tx, class _Ty>
inline void chkmax(_Tx& x, const _Ty& y) {
x = max<common_type_t<_Tx, _Ty>>(x, y);
}
using ll = long long;
using ull = unsigned long long;
using i128 = __int128_t;
using u128 = __uint128_t;
bool Mbe;
template <class _Tp, class _Tc = _Tp>
struct mincostflow {
int n, s, t;
struct edge {
int v, rev;
_Tp f;
_Tc w;
};
vector<vector<edge>> g;
mincostflow(int n) {
this->s = ++n;
this->t = ++n;
this->n = ++n;
g.resize(n);
}
mincostflow(int n, int s, int t) {
this->s = s;
this->t = t;
this->n = ++n;
g.resize(n);
}
void add_edge(int u, int v, _Tp f, _Tc w) {
int idx = g[u].size(), idy = g[v].size();
g[u].push_back({v, idy, f, w});
g[v].push_back({u, idx, (_Tp)0, -w});
}
pair<_Tp, _Tc> dinic(int s, int t) {
_Tp ret = 0;
_Tc cost = 0;
vector<int> pre;
vector<_Tp> num;
vector<_Tc> ht, dis;
auto spfa = [&]() {
queue<int> que;
vector<bool> vis(n);
ht.assign(n, numeric_limits<_Tc>::max());
ht[s] = 0, que.emplace(s);
while (!que.empty()) {
int u = que.front();
que.pop(), vis[u] = 0;
for (auto it : g[u]) {
if (it.f != 0 && ht[u] + it.w < ht[it.v]) {
ht[it.v] = ht[u] + it.w;
if (!vis[it.v]) que.emplace(it.v), vis[it.v] = 1;
}
}
}
};
auto dijkstra = [&]() {
using pdi = pair<_Tc, int>;
priority_queue<pdi, vector<pdi>, greater<>> pq;
pre.assign(n, 0);
num.assign(n, 0);
dis.assign(n, numeric_limits<_Tc>::max());
dis[s] = 0;
num[s] = numeric_limits<_Tp>::max();
pq.emplace(dis[s], s);
while (!pq.empty()) {
_Tc d;
int u;
tie(d, u) = pq.top(), pq.pop();
if (dis[u] < d) continue;
if (u == t) {
for (int i = 0; i < n; ++i)
chkmin(dis[i], dis[t]), ht[i] += dis[i];
return true;
}
for (auto it : g[u]) {
_Tc w = it.w + ht[u] - ht[it.v];
if (it.f != 0 && dis[u] + w < dis[it.v]) {
dis[it.v] = dis[u] + w;
pre[it.v] = it.rev;
num[it.v] = min(num[u], it.f);
pq.emplace(dis[it.v], it.v);
}
}
}
return false;
};
auto update = [&]() {
ret += num[t];
for (int u = t; u != s; u = g[u][pre[u]].v) {
auto& it = g[u][pre[u]];
it.f += num[t];
g[it.v][it.rev].f -= num[t];
cost += g[it.v][it.rev].w * num[t];
}
};
spfa();
while (dijkstra()) update();
return make_pair(ret, cost);
}
pair<_Tp, _Tc> dinic() {
return dinic(s, t);
}
};
bool Med;
int main() {
// debug("Mem: %.4lfMB.", fabs(&Med - &Mbe) / 1048576);
cin.tie(0)->sync_with_stdio(0);
int n, m;
cin >> n >> m;
auto flow = mincostflow<int>(n, 1, n);
while (m--) {
int u, v, f, w;
cin >> u >> v >> f >> w;
flow.add_edge(u, v, f, w);
}
auto ans = flow.dinic();
cout << ans.first << ' ' << ans.second << '\n';
return 0;
}
/*
g++ -std=c++14 -O2 -o qoj-602 qoj-602.cpp -Wall -Wextra
-Wshadow -fsanitize=address,undefined -g
*/
Details
Tip: Click on the bar to expand more detailed information
Test #1:
score: 10
Accepted
time: 0ms
memory: 3560kb
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: 3852kb
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: 0ms
memory: 3672kb
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: 10ms
memory: 3972kb
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: 49ms
memory: 3804kb
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: 49ms
memory: 3800kb
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: 49ms
memory: 3800kb
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: 365ms
memory: 4104kb
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: 378ms
memory: 4044kb
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: 370ms
memory: 4032kb
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"