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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 |
---|---|---|---|---|---|---|---|---|---|
#477787 | #602. 最小费用最大流(随机数据) | NOI_AK_ME# | 100 ✓ | 6ms | 1980kb | C++20 | 3.3kb | 2024-07-14 10:36:41 | 2024-07-14 10:36:42 |
Judging History
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"