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QOJ

IDProblemSubmitterResultTimeMemoryLanguageFile sizeSubmit timeJudge time
#482718#602. 最小费用最大流(随机数据)KellyWLJ100 ✓402ms4428kbC++172.5kb2024-07-17 20:52:562024-07-17 20:52:56

Judging History

This is the latest submission verdict.

  • [2024-07-17 20:52:56]
  • Judged
  • Verdict: 100
  • Time: 402ms
  • Memory: 4428kb
  • [2024-07-17 20:52:56]
  • Submitted

answer

#include <bits/stdc++.h>
#define fi first
#define se second
#define pb push_back
using namespace std;

using ll = long long;
using pii = pair<int, int>;
const ll N = 410, M = 40010, inf = 1e15, SZ = (1 << 18) + 5;
static char buf[SZ], *bgn = buf, *til = buf;
char getc()
{
    if(bgn == til)  bgn = buf, til = buf + fread(buf, 1, SZ, stdin);
    return bgn == til ? EOF : *bgn++;
}
template<typename T>
void read(T &x)
{
    char ch = getc();  T fh = 0;   x = 0;
    while(ch < '0' || ch > '9')    fh |= (ch == '-'), ch = getc();
    while(ch >= '0' && ch <= '9')   x = x * 10 + ch - '0', ch = getc();
    x = fh ? -x : x;
}
template<typename Type, typename... argc>
void read(Type &x, argc &...args)   {read(x), read(args...);}
int n, m, S, T, u, v, up, cnt[N], book[N], vis[N], st[N], idx = 1;
ll cost[M], dis[N], del[N], ci, ans, sum, e[M];
vector<pii> edge[N];
void add(int u, int v, ll d, ll w)
{
    e[++idx] = d, cost[idx] = w, edge[u].pb({v, idx});
    e[++idx] = 0, cost[idx] = -w, edge[v].pb({u, idx});
}
int spfa()
{
    memset(dis, 0x3f, sizeof(dis)), memset(book, 0, sizeof(book));
    memset(st, 0, sizeof(st)), memset(cnt, 0, sizeof(cnt)), memset(vis, 0, sizeof(vis));
    queue<int> q;   q.push(S), dis[S] = 0;
    while(!q.empty())
    {
        int x = q.front();  q.pop();
        book[x] = 0, ++cnt[x];
        if(cnt[x] > n + 1)  {cerr << "!";   exit(0);}
        for(auto [y, i] : edge[x])
            if(e[i] > 0 && dis[y] > dis[x] + cost[i])   
            {
                dis[y] = dis[x] + cost[i];
                if(!book[y])    q.push(y), book[y] = 1;
            }
    }
    return dis[T] < inf ? 1 : 2;
}
ll dinic(int x, ll flow)
{
    if(x == T || !flow) return flow;
    ll res = flow; vis[x] = 1;
    for(int j = st[x]; j < edge[x].size(); ++j)
    {
        st[x] = j;  auto [y, i] = edge[x][j];
        if(e[i] > 0 && !vis[y] && dis[y] == dis[x] + cost[i])
        {
            int k = dinic(y, min(res, e[i]));
            if(k > 0)   e[i] -= k, e[i ^ 1] += k, res -= k, sum += cost[i] * k;
            else    dis[y] = inf;
        }
    }
    vis[x] = 0; return flow - res;
}
int main()
{
    #ifdef Kelly
        freopen("in.txt", "r", stdin);
        freopen("out.txt", "w", stdout);
        freopen("err.txt", "w", stderr);
    #endif
    read(n, m), S = 1, T = n;
    for(int i = 1; i <= m; ++i)
    {
        read(u, v, up, ci);
        add(u, v, up, ci);
    }
    while(spfa() == 1)  ans += dinic(S, inf);
    cout << ans << " " << sum << "\n";
    return 0;
}

Details

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Test #1:

score: 10
Accepted
time: 0ms
memory: 3692kb

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: 3656kb

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: 3612kb

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: 10ms
memory: 3800kb

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: 40ms
memory: 3900kb

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: 39ms
memory: 3968kb

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: 38ms
memory: 4172kb

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: 334ms
memory: 4360kb

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: 402ms
memory: 4428kb

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: 357ms
memory: 4424kb

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"