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PKU 1149 - PIGS
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marioyc committed Sep 25, 2010
1 parent bb41a3c commit ffc69b6
Showing 1 changed file with 117 additions and 0 deletions.
117 changes: 117 additions & 0 deletions PKU/1149 - PIGS.cpp
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#include <cstdio>
#include <climits>
#include <algorithm>

using namespace std;

struct flow_graph{
int MAX_V,E,s,t,head,tail;
int *cap,*to,*next,*last,*dist,*q,*now;

flow_graph(){}

flow_graph(int V, int MAX_E){
MAX_V = V; E = 0;
cap = new int[2*MAX_E], to = new int[2*MAX_E], next = new int[2*MAX_E];
last = new int[MAX_V], q = new int[MAX_V];
dist = new int[MAX_V], now = new int[MAX_V];
fill(last,last+MAX_V,-1);
}

void add_edge(int u, int v, int uv, int vu = 0){
to[E] = v, cap[E] = uv, next[E] = last[u]; last[u] = E++;
to[E] = u, cap[E] = vu, next[E] = last[v]; last[v] = E++;
}

bool bfs(){
fill(dist,dist+MAX_V,-1);
head = tail = 0;

q[tail] = t; ++tail;
dist[t] = 0;

while(head<tail){
int v = q[head]; ++head;

for(int e = last[v];e!=-1;e = next[e]){
if(cap[e^1]>0 && dist[to[e]]==-1){
q[tail] = to[e]; ++tail;
dist[to[e]] = dist[v]+1;
}
}
}

return dist[s]!=-1;
}

int dfs(int v, int f){
if(v==t) return f;

for(int &e = now[v];e!=-1;e = next[e]){
if(cap[e]>0 && dist[to[e]]==dist[v]-1){
int ret = dfs(to[e],min(f,cap[e]));

if(ret>0){
cap[e] -= ret;
cap[e^1] += ret;
return ret;
}
}
}

return 0;
}

int max_flow(int source, int sink){
s = source; t = sink;
int f = 0,x;

while(bfs()){
for(int i = 0;i<MAX_V;++i) now[i] = last[i];

while(true){
x = dfs(s,INT_MAX);
if(x==0) break;
f += x;
}
}

return f;
}
}G(102,2*100+1000*100);

int main(){
int M,N;
scanf("%d %d",&M,&N);

int cap[M];
for(int i = 0;i<M;++i) scanf("%d",&cap[i]);

int A,B,K,first[M];
fill(first,first+M,0);

for(int i = 1;i<=N;++i){
scanf("%d",&A);
int sum = 0;

for(int j = 0;j<A;++j){
scanf("%d",&K);
--K;

if(first[K]==0){
sum += cap[K];
first[K] = i;
}else{
G.add_edge(first[K],i,INT_MAX);
}
}

G.add_edge(0,i,sum);
scanf("%d",&B);
G.add_edge(i,1+N,B);
}

printf("%d\n",G.max_flow(0,1+N));

return 0;
}

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