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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
#477787#602. 最小费用最大流(随机数据)NOI_AK_ME#100 ✓6ms1980kbC++203.3kb2024-07-14 10:36:412024-07-14 10:36:42

Judging History

你现在查看的是最新测评结果

  • [2024-07-14 10:36:42]
  • 评测
  • 测评结果:100
  • 用时:6ms
  • 内存:1980kb
  • [2024-07-14 10:36:41]
  • 提交

answer

#include <stdio.h>
#include <stdlib.h>
#include <string.h>

#define RN 20000

typedef int I;
typedef char C;
typedef long long L;

#define SWAP(T, a, b) { T t = a; a = b; b = t; }

// Pools
#define getchar() (_S==_T&&(_T=(_S=_B)+fread(_B,1,1<<15,stdin),_S==_T)?EOF:*_S++)
char _B[1 << 15], *_S = _B, *_T = _B;
inline int read() {
    register int s = 0;
    register char ch;

    while ((ch = getchar()) < '0' || ch > '9');

    for (; ch >= '0' && ch <= '9'; s = ch - '0' + s * 10, ch = getchar());

    return s;
}
typedef struct {
    I nxt;
    I to;
    I cap;
    I cost;
}
Network;

Network net_pool[RN * 2];
I ncnt = 1;

#define nnode(x) net_pool[x]
#define nnxt(x)  nnode(x).nxt
#define nto(x)   nnode(x).to
#define ncap(x)  nnode(x).cap
#define ncost(x) nnode(x).cost

// Network Simplex

I head[RN], fa[RN], fe[RN], pi[RN], mark[RN], buf[RN];
I ti, nc;

static inline void addEdge(I u, I v, I f, I c) {
    nnode(++ncnt) = (Network) {
        head[u], v, f, c
    };
    head[u] = ncnt;
    nnode(++ncnt) = (Network) {
        head[v], u, 0, -c
    };
    head[v] = ncnt;
}

void initTree(I x) {
    nc++, mark[x] = 1;

    for (I i = head[x]; i; i = nnxt(i)) {
        I v = nto(i);

        if (!mark[v] && ncap(i)) {
            fa[v] = x, fe[v] = i;
            initTree(v);
        }
    }
}

static inline I phi(I x) {
    I top = 0;

    while (mark[x] != ti)
        mark[buf[top++] = x] = ti, x = fa[x];

    while (top--)
        x = buf[top], pi[x] = pi[fa[x]] - ncost(fe[x]);

    return pi[x];
}

void pushFlow(I e, L *cost) {
    I u = nto(e ^ 1), v = nto(e), l = nc, r = nc;
    ti++;

    while (u)
        buf[++r] = fe[u], mark[u] = ti, u = fa[u];

    while (mark[v] != ti)
        buf[--l] = fe[v] ^ 1, mark[v] = ti, v = fa[v];

    buf[nc] = e;

    I e2 = l;

    for (I i = l; buf[i] != fe[v]; i++) {
        if (ncap(buf[e2]) > ncap(buf[i]))
            e2 = i;
    }

    I f = ncap(buf[e2]);

    for (I i = l; buf[i] != fe[v]; i++) {
        ncap(buf[i]) -= f, ncap(buf[i] ^ 1) += f;
        *cost += 1ll * ncost(buf[i]) * f;
    }

    if (e2 == nc)
        return;

    I x = e ^ (e2 < nc), y = nto(x), z = nto(x ^ 1);

    while (x != (buf[e2] ^ (e2 < nc))) {
        x ^= 1;
        pi[z] = pi[y] - ncost(x);
        SWAP(I, x, fe[z]);
        SWAP(I, y, fa[z]);
        SWAP(I, y, z);
    }
}

I simplex(I st, I ed, L *cost) {
    I lhead = head[st], lhead2 = head[ed];
    addEdge(ed, st, 0x3f3f3f3f, -0x3f3f3f3f);
    nc = fa[ed] = *cost = 0;
    initTree(ed);
    mark[ed] = ti = 2;

    for (I i = 2, pre = ncnt; i != pre; i = i == ncnt ? 2 : i + 1) {
        if (ncap(i) && ncost(i) < phi(nto(i ^ 1)) - phi(nto(i)))
            pushFlow(pre = i, cost);
    }

    head[st] = lhead, head[ed] = lhead2, ncnt -= 2;
    return ncap(ncnt + 2);
}

// Main

int main(void) {
    I n, m, s, t;
    n = read();
    m = read();
    s = 1, t = n;

    for (register I i = 1; i <= m; i++) {
        I u, v, f, c;
        u = read();
        v = read();
        f = read();
        c = read();
        addEdge(u, v, f, c);
    }

    L cost;
    I flow = simplex(s, t, &cost);
    printf("%d %lld\n", flow, cost + 1ll * flow * 0x3f3f3f3f);
    return 0;
}

详细

Test #1:

score: 10
Accepted
time: 0ms
memory: 1616kb

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: 1520kb

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: 0ms
memory: 1504kb

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: 0ms
memory: 1676kb

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: 0ms
memory: 1688kb

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: 2ms
memory: 1688kb

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: 2ms
memory: 1664kb

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: 6ms
memory: 1980kb

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: 4ms
memory: 1904kb

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: 4ms
memory: 1868kb

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"