BZOJ1391: [Ceoi2008]order

1391: [Ceoi2008]order

Time Limit: 10 Sec Memory Limit: 64 MB

Submit: 2053 Solved: 619

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Description

有N个工作，M种机器，每种机器你可以租或者买过来. 每个工作包括若干道工序，每道工序需要某种机器来完成,你可以通过购买或租用机器来完成。 现在给出这些参数，求最大利润

Input

第一行给出 N,M(1<=N<=1200,1<=M<=1200) 下面将有N块数据，每块数据第一行给出完成这个任务能赚到的钱(其在[1,5000])及有多少道工序 接下来若干行每行两个数，分别描述完成工序所需要的机器编号及租用它的费用(其在[1,20000]) 最后M行，每行给出购买机器的费用(其在[1,20000])

Output

最大利润

Sample Input

2 3

100 2

1 30

2 20

100 2

1 40

3 80

50

80

110

Sample Output

50

题解

本来想的费用流。

网上题解全是最小割。

看了看数据范围。。。

。。。

裸的最小割

dinic当前弧优化，试一试

经过一番卡常后终于过了

#include <iostream>
#include <cstdio>
#include <cstdlib>
#include <cstring>
#include <algorithm>
#include <map>
#include <cmath>
inline int max(int a, int b){return a > b ? a : b;}
inline int min(int a, int b){return a < b ? a : b;}
inline int abs(int x){return x < 0 ? -x : x;}
inline void swap(int &x, int &y){int tmp = x;x = y;y = tmp;}
inline void read(int &x)
{
x = 0;char ch = getchar(), c = ch;
while(ch < '0' || ch > '9') c = ch, ch = getchar();
while(ch <= '9' && ch >= '0') x = x * 10 + ch - '0', ch = getchar();
if(c == '-') x = -x;
}
const int INF = 0x3f3f3f3f;
struct Edge
{
int u,v,w,nxt;
Edge(int _u, int _v, int _w, int _nxt){u = _u;v = _v;w = _w;nxt = _nxt;}
Edge(){}
}edge[3000010];
int head[2510], cnt = 1, S, T, cur[2510], q[2510], he, ta, h[2510], ans;
inline void insert(int a, int b, int c)
{
edge[++ cnt] = Edge(a, b, c, head[a]), head[a] = cnt;
edge[++ cnt] = Edge(b, a, 0, head[b]), head[b] = cnt;
}
bool bfs()
{
memset(h, -1, sizeof(h)), h[S] = 0, he = ta = 0, q[ta ++] = S;
while(he < ta)
{
register int now = q[he ++];
for(register int pos = head[now];pos;pos = edge[pos].nxt)
{
register int v = edge[pos].v;
if(edge[pos].w && h[v] == -1)
h[v] = h[now] + 1, q[ta ++] = v;
}
}
return h[T] != -1;
}
int dfs(int x, int f)
{
if(x == T || f == 0) return f;
int used = 0, w;
for(register int& pos = cur[x];pos;pos = edge[pos].nxt)
{
register int v = edge[pos].v;
if(h[v] == h[x] + 1 && edge[pos].w > 0)
{
w = dfs(v, min(edge[pos].w, f - used));
if(w > 0)
edge[pos].w -= w, edge[pos ^ 1].w += w, used += w;
if(used == f) return f;
}
}
if(!used) h[x] = -1;
return used;
}
void dinic()
{
while(bfs())
{
memcpy(cur, head, sizeof(head));
ans += dfs(S, INF);
}
}
int n, m, sum;
int main()
{
read(n), read(m);S = n + m + 1, T = S + 1;
register int tmp1, tmp2, tmp3;
for(register int i = 1;i <= n;++ i)
{
read(tmp1), sum += tmp1, insert(S, i, tmp1);
read(tmp1);
for(register int j = 1;j <= tmp1;++ j)
{
read(tmp2), read(tmp3);
insert(i, n + tmp2, tmp3);
}
}
for(register int i = 1;i <= m;++ i)
read(tmp1), insert(n + i, T, tmp1);
dinic();
printf("%d", sum - ans);
return 0;
}