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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 |
---|---|---|---|---|---|---|---|---|---|
#429633 | #602. 最小费用最大流(随机数据) | alpha1022 | 100 ✓ | 302ms | 4484kb | C++14 | 2.8kb | 2024-06-02 18:38:36 | 2024-06-02 18:38:37 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
template<class Z, class ZC>
struct CostFlow {
static constexpr Z inf = numeric_limits<Z>::max();
static constexpr ZC cinf = numeric_limits<ZC>::max();
int n;
vector<vector<tuple<int, int, Z, ZC>>> g;
CostFlow(int n) : n(n), g(n) {}
void addEdge(int u, int v, Z c, ZC w) {
int ru = g[u].size(), rv = g[v].size();
g[u].emplace_back(v, rv, c, w), g[v].emplace_back(u, ru, 0, -w);
}
pair<Z, ZC> dinic(int s, int t) {
vector<ZC> h(n), dis(n);
vector<int> level(n), inQueue(n), cur(n);
auto getH = [&]() {
fill_n(h.begin(), n, cinf);
queue<int> q; q.push(s), h[s] = 0, inQueue[s] = 1;
while (!q.empty()) {
int u = q.front(); q.pop(), inQueue[u] = 0;
for (auto [v, _, c, w]: g[u]) {
if (c && h[v] > h[u] + w) {
h[v] = h[u] + w;
if (!inQueue[v]) q.push(v), inQueue[v] = 1;
}
}
}
};
getH();
if (h[t] == cinf) return {0, 0};
auto getLevel = [&]() {
fill_n(dis.begin(), n, cinf);
priority_queue<pair<ZC, int>, vector<pair<ZC, int>>, greater<pair<ZC, int>>> pQ;
pQ.emplace(dis[s] = 0, s);
while (!pQ.empty()) {
auto [d, u] = pQ.top(); pQ.pop();
if (d > dis[u]) continue;
for (auto [v, _, c, w]: g[u]) {
w += h[u] - h[v];
if (c && dis[v] > dis[u] + w) pQ.emplace(dis[v] = dis[u] + w, v);
}
}
queue<int> q; fill_n(level.begin(), n, -1), q.push(s), level[s] = 0;
while (!q.empty()) {
int u = q.front(); q.pop();
for (auto [v, _, c, w]: g[u])
if (c && dis[v] == dis[u] + w + h[u] - h[v] && level[v] == -1) level[v] = level[u] + 1, q.push(v);
}
};
function<Z(int, Z)> cap = [&](int u, Z lim) {
if (u == t) return lim;
Z ret = 0;
for (; cur[u] && ret < lim; --cur[u]) {
auto &[v, rev, c, w] = g[u][cur[u] - 1];
if (c && dis[v] == dis[u] + w + h[u] - h[v] && level[v] == level[u] + 1) {
Z flow = cap(v, min(lim - ret, c));
ret += flow, c -= flow, get<2>(g[v][rev]) += flow;
if (ret == lim) return ret;
}
}
return ret;
};
Z ret = 0; ZC cost = 0;
while (getLevel(), level[t] != -1) {
for (int i = 0; i < n; ++i) cur[i] = g[i].size();
Z flow = cap(s, inf); ret += flow, cost += (dis[t] + h[t]) * flow;
for (int i = 0; i < n; ++i) h[i] += dis[i];
}
return {ret, cost};
}
};
int main() {
int n, m; scanf("%d%d", &n, &m);
CostFlow<int, int> costFlow(n);
for (int i = 1; i <= m; ++i) {
int u, v, c, w; scanf("%d%d%d%d", &u, &v, &c, &w), costFlow.addEdge(--u, --v, c, w);
}
auto [flow, cost] = costFlow.dinic(0, n - 1);
printf("%d %d\n", flow, cost);
}
詳細信息
Test #1:
score: 10
Accepted
time: 0ms
memory: 3756kb
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: 3768kb
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: 3728kb
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: 15ms
memory: 4152kb
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: 36ms
memory: 3944kb
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: 33ms
memory: 3988kb
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: 31ms
memory: 4256kb
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: 200ms
memory: 4256kb
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: 302ms
memory: 4484kb
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: 269ms
memory: 4208kb
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"