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 |
---|---|---|---|---|---|---|---|---|---|
#480348 | #602. 最小费用最大流(随机数据) | yzy1# | 100 ✓ | 1218ms | 14092kb | C++23 | 3.0kb | 2024-07-16 14:26:44 | 2024-07-16 14:26:44 |
Judging History
answer
#if defined(LOCAL)
#define _GLIBCXX_DEBUG
#else
#define NDEBUG
#endif
#include <bits/stdc++.h>
#if defined(LOCAL)
#define DBG_MACRO_NO_WARNING
#include <dbg.hpp>
#else
#define dbg(x...) (0)
#endif
using namespace std;
using ll = long long;
// #define int ll
#define rep(i, f, t) for (int i = (f), ed##i = (t); i <= ed##i; ++i)
#define re(i, t) rep (i, 1, t)
#define per(i, t, f) for (int i = (t), ed##i = (f); i >= ed##i; --i)
#define ste(i, f, t, s) for (int i = (f), ed##i = (t); i <= ed##i; i += s)
#define nxt(i, f, g) for (int i = g.h[f]; i; i = g.e[i].n)
#define umod(x) ((x) >= mo && ((x) -= mo))
#define dmod(x) ((x) < 0 && ((x) += mo))
#define y1 y1__
#define fio(x) (freopen(x ".in", "r", stdin), freopen(x ".out", "w", stdout))
template <class T, class E>
__attribute__((always_inline)) inline void up(T &x, E &&y) {
if (x < y) x = y;
}
template <class T, class E>
__attribute__((always_inline)) inline void down(T &x, E &&y) {
if (y < x) x = y;
}
const int N = 1e6 + 9;
const ll inf = 0x3f3f3f3f3f3f3f3fll;
struct G {
int tot = 1, h[N];
struct E {
int t, n;
ll ca, fl, co;
} e[N << 1];
inline void Add(int f, int t, ll ca, ll fl, ll co) {
e[++tot] = {t, h[f], ca, fl, co}, h[f] = tot;
}
} g;
inline void Add(int f, int t, ll fl, ll co) {
g.Add(f, t, fl, 0, co);
g.Add(t, f, 0, 0, -co);
}
int cur[N];
ll dis[N];
bool vis[N];
inline bool Bfs(int S, int T, int n) {
re (i, n) dis[i] = 0x3f3f3f3f3f3f3f3fll, vis[i] = 0;
queue<int> q;
q.push(S);
vis[S] = 1;
dis[S] = 0;
while (q.size()) {
int f = q.front();
q.pop();
vis[f] = 0;
nxt (i, f, g) {
if (g.e[i].fl >= g.e[i].ca) continue;
int t = g.e[i].t;
ll co = g.e[i].co;
if (dis[f] + co < dis[t]) {
dis[t] = dis[f] + co;
if (!vis[t]) q.push(t);
}
}
}
return dis[T] < inf;
}
inline pair<ll, ll> Dfs(int f, ll fl, int T) {
if (!fl || f == T) return {fl, 0};
ll ou = 0, co = 0;
vis[f] = 1;
for (int &i = cur[f]; i; i = g.e[i].n) {
int t = g.e[i].t;
pair<ll, ll> tmp;
if (!vis[t] && dis[t] == dis[f] + g.e[i].co &&
(tmp = Dfs(t, min(fl, g.e[i].ca - g.e[i].fl), T)).first) {
fl -= tmp.first, ou += tmp.first, g.e[i].fl += tmp.first, g.e[i ^ 1].fl -= tmp.first;
co += tmp.second + tmp.first * g.e[i].co;
}
}
if (!ou) dis[f] = inf;
vis[f] = 0;
return {ou, co};
}
inline pair<ll, ll> Dinic(int S, int T, int n) {
ll fl = 0, co = 0;
while (1) {
if (!Bfs(S, T, n)) break;
// cerr << "BFS!\n";
re (i, n) cur[i] = g.h[i];
auto tmp = Dfs(S, inf, T);
fl += tmp.first, co += tmp.second;
}
return {fl, co};
}
int n, m, S, T;
signed main() {
ios::sync_with_stdio(0), cin.tie(0), cout.tie(0);
cin >> n >> m;
S = 1, T = n;
re (i, m) {
int f, t;
ll fl, co;
cin >> f >> t >> fl >> co;
Add(f, t, fl, co);
}
auto [fl, co] = Dinic(S, T, n);
cout << fl << ' ' << co << '\n';
return 0;
}
详细
Test #1:
score: 10
Accepted
time: 1ms
memory: 9952kb
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: 1ms
memory: 9916kb
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: 9984kb
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: 34ms
memory: 9756kb
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: 167ms
memory: 9704kb
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: 161ms
memory: 9696kb
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: 156ms
memory: 11836kb
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: 1052ms
memory: 14092kb
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: 1218ms
memory: 13736kb
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: 1141ms
memory: 13852kb
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"