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QOJ
ID | Problem | Submitter | Result | Time | Memory | Language | File size | Submit time | Judge time |
---|---|---|---|---|---|---|---|---|---|
#545475 | #602. 最小费用最大流(随机数据) | gogo11 | 100 ✓ | 755ms | 4248kb | C++20 | 4.3kb | 2024-09-03 13:36:20 | 2024-09-03 13:36:20 |
Judging History
answer
#include <bits/stdc++.h>
using namespace std;
using ll = long long;
using pii = pair<int, int>;
using pll = pair<ll, ll>;
#define all(x) x.begin(),x.end()
constexpr int N = 3e5 + 5;
constexpr int M = 2e5 + 5;
constexpr int INF = 0x3f3f3f3f;
constexpr ll LNF = 0x3f3f3f3f3f3f3f3f;
constexpr ll Mod = 998244353;
constexpr ll Base = 131;
constexpr int MAXBIT = 30;
constexpr double eps = 1e-9;
template<class T>
struct MinCostFlow {
struct _Edge {
int to;
T cap;
T cost;
_Edge(int to_, T cap_, T cost_) : to(to_), cap(cap_), cost(cost_) {}
};
int n;
vector<_Edge> e;
vector<vector<int>> g;
vector<T> h, dis;
vector<int> pre;
bool dijkstra(int s, int t) {
dis.assign(n+1, numeric_limits<T>::max());
pre.assign(n+1, -1);
priority_queue<pair<T, int>, vector<pair<T, int>>, greater<pair<T, int>>> q;
dis[s] = 0;
q.emplace(0, s);
while(!q.empty()) {
T d = q.top().first;
int u = q.top().second;
q.pop();
if(dis[u] != d) {
continue;
}
for(int i : g[u]) {
int v = e[i].to;
T cap = e[i].cap;
T cost = e[i].cost;
if(cap > 0 && dis[v] > d + h[u] - h[v] + cost) {
dis[v] = d + h[u] - h[v] + cost;
pre[v] = i;
q.emplace(dis[v], v);
}
}
}
return dis[t] != numeric_limits<T>::max();
}
bool spfa(int s, int t) {
dis.assign(n+1, numeric_limits<T>::max());
pre.assign(n+1, -1);
queue<int> q;
dis[s] = 0;
q.push(s);
while(!q.empty())
{
int u=q.front();
q.pop();
for(int i : g[u]) {
int v = e[i].to;
T cap = e[i].cap;
T cost = e[i].cost;
if(cap > 0 && dis[v] > dis[u] + cost) {
dis[v] = dis[u] + cost;
pre[v] = i;
q.push(v);
}
}
}
return dis[t] != numeric_limits<T>::max();
}
MinCostFlow() {}
MinCostFlow(int n_) {
init(n_);
}
void init(int n_) {
n = n_;
e.clear();
g.assign(n+1, {});
}
void addEdge(int u, int v, T cap, T cost) {
g[u].push_back(e.size());
e.emplace_back(v, cap, cost);
g[v].push_back(e.size());
e.emplace_back(u, 0, -cost);
}
pair<T, T> flow(int s, int t) {
T flow = 0;
T cost = 0;
h.assign(n+1, 0);
for(bool flag=0;flag?dijkstra(s,t):(flag=1,dijkstra(s,t));) {
for(int i = 1; i <= n; ++i) {
h[i] += dis[i];
}
T aug = numeric_limits<int>::max();
for(int i = t; i != s; i = e[pre[i] ^ 1].to) {
aug = min(aug, e[pre[i]].cap);
}
for(int i = t; i != s; i = e[pre[i] ^ 1].to) {
cost += e[pre[i]].cost * aug;
e[pre[i]].cap -= aug;
e[pre[i] ^ 1].cap += aug;
}
flow += aug;
// cost += aug * h[t];
}
return make_pair(flow, cost);
}
struct Edge {
int from;
int to;
T cap;
T cost;
T flow;
};
vector<Edge> edges() {
vector<Edge> a;
for(int i = 0; i < e.size(); i += 2) {
Edge x;
x.from = e[i + 1].to;
x.to = e[i].to;
x.cap = e[i].cap + e[i + 1].cap;
x.cost = e[i].cost;
x.flow = e[i + 1].cap;
a.push_back(x);
}
return a;
}
};
using Flow = MinCostFlow<long long>;
void solve()
{
int n,m,s,t;
cin>>n>>m,s=1,t=n;
Flow fw(n);
for(int i=1;i<=m;i++)
{
int u,v,w,c;
cin>>u>>v>>w>>c;
fw.addEdge(u,v,w,c);
}
auto [flow,cost]=fw.flow(s,t);
cout<<flow<<" "<<cost<<"\n";
}
int main()
{
ios::sync_with_stdio(false),cin.tie(0),cout.tie(0);
int _ = 1;
// cin >> _;
while(_--)
solve();
return 0;
}
Details
Tip: Click on the bar to expand more detailed information
Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 0ms
memory: 3556kb
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: 3556kb
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: 3632kb
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: 27ms
memory: 3772kb
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: 91ms
memory: 3728kb
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: 93ms
memory: 3772kb
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: 91ms
memory: 3728kb
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: 724ms
memory: 4088kb
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: 755ms
memory: 4248kb
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: 727ms
memory: 4116kb
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"