QOJ.ac
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 |
---|---|---|---|---|---|---|---|---|---|
#642969 | #602. 最小费用最大流(随机数据) | pmt2018 | 100 ✓ | 997ms | 4460kb | C++20 | 2.3kb | 2024-10-15 17:24:36 | 2024-10-15 17:24:38 |
Judging History
answer
#include<bits/stdc++.h>
using namespace std;
typedef long long ll;
const int maxn = 2007, maxm = 200007, INF = 0x7fffffff;
int n,m,s,t;
namespace MCMF {
using pr = pair<ll, int>;
int N, S, T;
struct edge {
int to, nxt, cap, w;
} e[maxm << 1];
int head[maxn], tot = 1;
void addedge(int x, int y, int cap, int w) {
e[++tot] = {y, head[x], cap, w}, head[x] = tot;
e[++tot] = {x, head[y], 0, -w}, head[y] = tot;
}
ll d[maxn], dis[maxn];
int vis[maxn], fr[maxn];
bool spfa() {
queue<int> Q;
fill(d + 1, d + N + 1, 1e18); // CHECK
for (d[S] = 0, Q.push(S); !Q.empty();) {
int x = Q.front();
Q.pop();
vis[x] = 0;
for (int i = head[x]; i; i = e[i].nxt)
if (e[i].cap && d[e[i].to] > d[x] + e[i].w) {
d[e[i].to] = d[x] + e[i].w;
fr[e[i].to] = i;
if (!vis[e[i].to]) vis[e[i].to] = 1, Q.push(e[i].to);
}
}
return d[T] < 1e17; // 如果只是最小费用流,当d < 0继续增广
}
bool dijkstra() { // 正常题目不需要 dijk
priority_queue<pr, vector<pr>, greater<pr>> Q;
for (int i = 1; i <= N; ++i)
dis[i] = d[i], d[i] = 1e18, vis[i] = fr[i] = 0; // CHECK
Q.emplace(d[S] = 0, S);
while (!Q.empty()) {
int x = Q.top().second;
Q.pop();
if (vis[x]) continue;
vis[x] = 1;
for (int i = head[x]; i; i = e[i].nxt) {
const ll v = e[i].w + dis[x] - dis[e[i].to];
if (e[i].cap && d[e[i].to] > d[x] + v) {
fr[e[i].to] = i;
Q.emplace(d[e[i].to] = d[x] + v, e[i].to);
}
}
}
for (int i = 1; i <= N; ++i) d[i] += dis[i]; // CHECK
return d[T] < 1e17;
}
std::pair<ll, ll> work(int _N, int _S, int _T) {
N = _N, S = _S, T = _T;
spfa(); // 如果初始有负权且要 dijk
ll f = 0, c = 0;
for (; dijkstra();) { // 正常可以用 spfa
ll fl = 1e18;
for (int i = fr[T]; i; i = fr[e[i ^ 1].to]) fl = min((ll)e[i].cap, fl);
for (int i = fr[T]; i; i = fr[e[i ^ 1].to])
e[i].cap -= fl, e[i ^ 1].cap += fl;
f += fl, c += fl * d[T];
}
return make_pair(f, c);
}
} // namespace mcmf
int main() {
scanf("%d%d", &n,&m);
for(int i=1;i<=m;i++){
int u,v,cap,w;
scanf("%d%d%d%d",&u,&v,&cap,&w);
MCMF::addedge(u,v,cap,w);
}
auto [cap, w] = MCMF::work(n,1,n);
printf("%lld %lld", cap, w);
}
詳細信息
Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 0ms
memory: 3764kb
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: 3820kb
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: 3756kb
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: 32ms
memory: 3904kb
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: 123ms
memory: 3936kb
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: 123ms
memory: 4012kb
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: 119ms
memory: 4024kb
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: 969ms
memory: 4440kb
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: 997ms
memory: 4460kb
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: 986ms
memory: 4216kb
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"