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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 |
---|---|---|---|---|---|---|---|---|---|
#751122 | #602. 最小费用最大流(随机数据) | eolienne | 100 ✓ | 505ms | 4508kb | C++20 | 2.6kb | 2024-11-15 17:11:11 | 2024-11-15 17:11:12 |
Judging History
answer
#include "bits/stdc++.h"
using namespace std;
#define int long long
#define double long double
#define pii pair<int,int>
#define s second
#define f first
#define pb push_back
#define oo 1000000000000000000ll
#define all(a) (a).begin(), a.end()
#define rall(a) (a).rbegin(), a.rend()
#define ln '\n'
/* Contains: Maxflow_Mincost using Bellman(SPFA)
* Assumptions: None
* NOTE: change ftype, wtype to double for real-valued flow
* Complexity: O(nmf) */
typedef int ftype; typedef int wtype;
const wtype EPS = 1; // 1e-9 for double
struct Edge { int from, to; ftype pushable, pushed; wtype w;};
struct MCMF{
int n, s, t, m = 0;
ftype flow; wtype cost;
vector<int> vis, prv;
vector<wtype> dist;
vector<vector<int>> adj;
vector<Edge> edges;
queue<int> q;
MCMF(int n_): n(n_+10), vis(n), prv(n, -1), dist(n), adj(n) {}
void add(int a, int b, ftype cap, wtype w, ftype low=0){
edges.push_back({a, b, cap, low, w});
edges.push_back({b, a, 0, low, -w});
adj[a].push_back(m++);
adj[b].push_back(m++);
}
bool spfa(){
fill(all(vis), 0); fill(all(dist), wtype(oo));
dist[s] = 0, vis[s] = 1;
q.push(s);
while (!q.empty()){
int u = q.front(); q.pop(); vis[u] = 0;
for (int id: adj[u]){
Edge& e = edges[id];
if (e.pushable < EPS || dist[e.to] < dist[e.from] + e.w + EPS) continue;
dist[e.to] = dist[e.from] + e.w;
prv[e.to] = id;
if (!vis[e.to]) vis[e.to] = 1, q.push(e.to);
}
}
return oo - dist[t] > EPS;
}
void calc(int S, int T){
flow = cost = 0, s = S, t = T;
while (spfa()){
ftype f = oo;
for (int x = prv[t]; x != -1; x = prv[edges[x].from]) f = min(f, edges[x].pushable);
for (int x = prv[t]; x != -1; x = prv[edges[x].from]) {
edges[x].pushable -= f, edges[x].pushed += f;
edges[x^1].pushable += f, edges[x^1].pushed -= f;
}
flow += f; cost += dist[t] * f;
}
}
};
void solve(){
int n, m; cin >> n >> m;
MCMF mcmf(n);
while (m--){
int u, v, cap, w; cin >> u >> v >> cap >> w;
mcmf.add(u, v, cap, w);
}
mcmf.calc(1, n);
cout << mcmf.flow << ' ' << mcmf.cost << ln;
}
signed main(){
ios_base::sync_with_stdio(false);
cin.tie(nullptr);
// int TT; cin >> TT;
// while (TT--) solve();
// while (1) solve();
solve();
}
详细
Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 0ms
memory: 3536kb
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: 3604kb
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: 3660kb
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: 13ms
memory: 3916kb
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: 52ms
memory: 3868kb
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: 53ms
memory: 3816kb
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: 52ms
memory: 3884kb
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: 456ms
memory: 4476kb
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: 505ms
memory: 4472kb
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: 484ms
memory: 4508kb
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"