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 |
---|---|---|---|---|---|---|---|---|---|
#532735 | #602. 最小费用最大流(随机数据) | lycc | 100 ✓ | 583ms | 4796kb | C++14 | 2.8kb | 2024-08-25 10:42:43 | 2024-08-25 10:42:43 |
Judging History
answer
// Author: lycc
// Problem: #102. 最小费用流
// Contest: LibreOJ
// URL: https://loj.ac/p/102
// Memory Limit: 256 MB
// Time Limit: 4000 ms
//
// NOIp 2024 rp++
//
// 2024 Grand Master
#include<bits/stdc++.h>
#define int long long
#define lb lower_bound
#define ub upper_bound
#define fi first
#define se second
#define pb emplace_back
#define For(i, x, y) for (int i = (x); i <= (y); i++)
#define rep(i, x, y) for (int i = (x); i >= (y); i--)
#define pii pair<int, int>
#define all(v) v.begin(), v.end()
#define sz(v) (int)(v.size())
#define ull unsigned long long
#define uint unsigned int
#define ls (p << 1)
#define rs (p << 1 | 1)
#define mp make_pair
#define i128 __int128
#define db long double
#define vi vector<int>
using namespace std;
mt19937_64 rnd(time(0));
template< typename T > void cmin(T &x, T y) { return x = min(x, y), void(); }
template< typename T > void cmax(T &x, T y) { return x = max(x, y), void(); }
int ksm(int x, int y, int p) {
int v = 1; x %= p;
while (y) v = 1ll * v * ((y & 1) ? x : 1) % p, x = 1ll * x * x % p, y >>= 1;
return (v % p + p) % p;
}
bool MemoryST;
const int N = 405, M = 3e4 + 5;
const int mod = 998244353;
const long long INF = 1e18;
int n, m, s, t, tot = 1;
int d[N], head[N], ver[M], nex[M], w[M], cur[N], cost[M];
int minn = 0;
void add(int x, int y, int z, int c) {
ver[++tot] = y; nex[tot] = head[x]; head[x] = tot; w[tot] = z; cost[tot] = c; return;
}
bool flag[N], vis[N];
bool bfs() {
For (i, 1, n) d[i] = INF, cur[i] = head[i];
d[s] = 0; queue<int> qu; qu.push(s);
while (!qu.empty()) {
int x = qu.front(); qu.pop(); flag[x] = 0;
for (int i = head[x]; i; i = nex[i]) {
int y = ver[i];
if (w[i] && d[y] > d[x] + cost[i]) {
d[y] = d[x] + cost[i];
if (!flag[y]) qu.push(y), flag[y] = 1;
}
}
}
return d[t] < INF;
}
int dinic(int x, int flow) {
if (x == t) return flow;
vis[x] = 1;
int now = flow;
for (int i = cur[x]; i; i = nex[i]) {
cur[x] = i; int y = ver[i];
if (!vis[y] && d[y] == d[x] + cost[i] && w[i]) {
int v = dinic(y, min(w[i], now));
now -= v; w[i] -= v; w[i ^ 1] += v; minn += cost[i] * v;
if (!now) break;
}
}
vis[x] = 0;
return flow - now;
}
void solve() {
cin >> n >> m; s = 1; t = n;
For (i, 1, m) {
int x, y, z, c; cin >> x >> y >> z >> c;
add(x, y, z, c); add(y, x, 0, -c);
}
int ans = 0;
while (bfs()) ans += dinic(s, INF);
cout << ans << ' ' << minn;
return;
}
bool MemoryED;
signed main() {
ios::sync_with_stdio(0);
cin.tie(0); cout.tie(0);
cerr << fixed << setprecision(6) << (&MemoryST - &MemoryED) / 1048576.0 << "MB\n";
int TESTCNT = 1;
//cin >> TESTCNT;
while (TESTCNT--) solve();
cerr << endl << 1e3 * clock() / CLOCKS_PER_SEC << "ms";
return 0;
}
详细
Pretests
Final Tests
Test #1:
score: 10
Accepted
time: 1ms
memory: 4148kb
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: 3944kb
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: 3932kb
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: 14ms
memory: 4100kb
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: 58ms
memory: 4412kb
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: 55ms
memory: 4264kb
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: 55ms
memory: 4200kb
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: 493ms
memory: 4668kb
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: 583ms
memory: 4572kb
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: 550ms
memory: 4796kb
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"