Bzoj4514:[Sdoi2016]数字配对:网络流,费用流
2016-04-12 16:27
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题目链接:4514:[Sdoi2016]数字配对
最大费用最大流,注意判断cost<0时的情况
但是为什么本地机能过BZ上迷之RE?
#include<queue>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<iostream>
#include<algorithm>
#define LL long long
using namespace std;
const int maxp=32000;
const int maxn=500;
const LL inf=10000000000000LL;
int n,m,p[maxn],cnt=0,h[maxn],tot=1,vis[maxn];
struct edges{int to,next,c;LL w;}G[maxn*maxn*2];
int pre[maxn],a[maxn],b[maxn],c[maxn],S,T,in[maxn],out[maxn];
LL dis[maxn];
void add(int x,int y,int c,LL w){
G[++tot].to=y;G[tot].next=h[x];h[x]=tot;G[tot].c=c;G[tot].w=w;
G[++tot].to=x;G[tot].next=h[y];h[y]=tot;G[tot].c=0;G[tot].w=-w;
}
bool spfa(){
for (int i=S;i<=T;++i)
{vis[i]=0;pre[i]=-1;dis[i]=-inf;}
queue<int>q; q.push(S); vis[S]=1; dis[S]=0;
while (!q.empty()){
int u=q.front(); q.pop(); vis[u]=0;
for (int i=h[u];i;i=G[i].next){
int v=G[i].to;
if (dis[v]<dis[u]+G[i].w&&G[i].c>0){
pre[v]=i; dis[v]=dis[u]+G[i].w;
if (!vis[v]){vis[v]=1;q.push(v);}
}
}
}return pre[T]!=-1;
}
void max_cost_flow(){
int retflow=0; LL cost=0;
while (spfa()){
int flow=0x7fffffff/3;
for (int i=pre[T];i!=-1;i=pre[G[i^1].to])
flow=min(flow,G[i].c);
LL tmp=cost;
cost+=1LL*flow*dis[T];
if (cost<0){
retflow+=tmp/(-dis[T]);
printf("%d",retflow>>1);
return;
}
retflow+=flow;
for (int i=pre[T];i!=-1;i=pre[G[i^1].to])
G[i].c-=flow,G[i^1].c+=flow;
}printf("%d",retflow>>1);
}
void get_primes(){
for (int i=2;i<=maxp;++i){
if (!vis[i]) p[++cnt]=i;
for (int j=1;j<=cnt&&p[j]*i<=maxp;++j){
vis[i*p[j]]=1;
if (i%p[j]==0) break;
}
}
}
bool check(int x){
if (x==1) return 0;
for (int i=1;i<=cnt;++i){
if (p[i]*p[i]>x) return 1;
if (x%p[i]==0) return 0;
}return 1;
}
int main(){
scanf("%d",&n);
get_primes(); S=0; T=n*2+1;
for (int i=1;i<=n;++i) scanf("%d",&a[i]);
for (int i=1;i<=n;++i) scanf("%d",&b[i]);
for (int i=1;i<=n;++i) scanf("%d",&c[i]);
for (int i=1;i<=n;++i)
in[i]=i,out[i]=n+i,add(S,in[i],b[i],0),add(out[i],T,b[i],0);
for (int i=1;i<=n;++i)
for (int j=1;j<=n;++j)
if (a[i]%a[j]==0&&check(a[i]/a[j]))
add(in[j],out[i],0x7fffffff/3,1LL*c[i]*c[j]),
add(in[i],out[j],0x7fffffff/3,1LL*c[i]*c[j]);
max_cost_flow();
}
最大费用最大流,注意判断cost<0时的情况
但是为什么本地机能过BZ上迷之RE?
#include<queue>
#include<cstdio>
#include<cstdlib>
#include<cstring>
#include<iostream>
#include<algorithm>
#define LL long long
using namespace std;
const int maxp=32000;
const int maxn=500;
const LL inf=10000000000000LL;
int n,m,p[maxn],cnt=0,h[maxn],tot=1,vis[maxn];
struct edges{int to,next,c;LL w;}G[maxn*maxn*2];
int pre[maxn],a[maxn],b[maxn],c[maxn],S,T,in[maxn],out[maxn];
LL dis[maxn];
void add(int x,int y,int c,LL w){
G[++tot].to=y;G[tot].next=h[x];h[x]=tot;G[tot].c=c;G[tot].w=w;
G[++tot].to=x;G[tot].next=h[y];h[y]=tot;G[tot].c=0;G[tot].w=-w;
}
bool spfa(){
for (int i=S;i<=T;++i)
{vis[i]=0;pre[i]=-1;dis[i]=-inf;}
queue<int>q; q.push(S); vis[S]=1; dis[S]=0;
while (!q.empty()){
int u=q.front(); q.pop(); vis[u]=0;
for (int i=h[u];i;i=G[i].next){
int v=G[i].to;
if (dis[v]<dis[u]+G[i].w&&G[i].c>0){
pre[v]=i; dis[v]=dis[u]+G[i].w;
if (!vis[v]){vis[v]=1;q.push(v);}
}
}
}return pre[T]!=-1;
}
void max_cost_flow(){
int retflow=0; LL cost=0;
while (spfa()){
int flow=0x7fffffff/3;
for (int i=pre[T];i!=-1;i=pre[G[i^1].to])
flow=min(flow,G[i].c);
LL tmp=cost;
cost+=1LL*flow*dis[T];
if (cost<0){
retflow+=tmp/(-dis[T]);
printf("%d",retflow>>1);
return;
}
retflow+=flow;
for (int i=pre[T];i!=-1;i=pre[G[i^1].to])
G[i].c-=flow,G[i^1].c+=flow;
}printf("%d",retflow>>1);
}
void get_primes(){
for (int i=2;i<=maxp;++i){
if (!vis[i]) p[++cnt]=i;
for (int j=1;j<=cnt&&p[j]*i<=maxp;++j){
vis[i*p[j]]=1;
if (i%p[j]==0) break;
}
}
}
bool check(int x){
if (x==1) return 0;
for (int i=1;i<=cnt;++i){
if (p[i]*p[i]>x) return 1;
if (x%p[i]==0) return 0;
}return 1;
}
int main(){
scanf("%d",&n);
get_primes(); S=0; T=n*2+1;
for (int i=1;i<=n;++i) scanf("%d",&a[i]);
for (int i=1;i<=n;++i) scanf("%d",&b[i]);
for (int i=1;i<=n;++i) scanf("%d",&c[i]);
for (int i=1;i<=n;++i)
in[i]=i,out[i]=n+i,add(S,in[i],b[i],0),add(out[i],T,b[i],0);
for (int i=1;i<=n;++i)
for (int j=1;j<=n;++j)
if (a[i]%a[j]==0&&check(a[i]/a[j]))
add(in[j],out[i],0x7fffffff/3,1LL*c[i]*c[j]),
add(in[i],out[j],0x7fffffff/3,1LL*c[i]*c[j]);
max_cost_flow();
}
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