Bzoj 4514: [Sdoi2016] digital pairing cost stream __ cost stream

Source: Internet
Author: User
the

There are n kinds of numbers, the first number is AI, there are bi, the weight is CI.
If two digital AI, AJ satisfied, AI is a multiple of AJ, and Ai/aj is a prime number,
So these two numbers can be paired and get the value of CIXCJ.
A number can only participate in a single pairing, and may not participate in the pairing.
If the sum of the values obtained is not less than 0, ask for the maximum number of pairs.
N≤200,ai≤10^9,bi≤10^5,∣ci∣≤10^5 Analysis

Set F (x) to denote the sum of the exponent of the standard factorization of x, then I and J matches must satisfy A[i]%a[j]==0 and F (A[i]) ==f (a[j)) +1
Then we can dye it in black and white in accordance with the parity of F (a[i]).
Two points after the edge of the answer then determine the maximum cost maximum flow is not less than 0 can be. Code

#include <iostream> #include <cstdio> #include <cstdlib> #include <cstring> #include < algorithm> #include <cmath> #include <queue> #define N 205 #define LL Long long #define INF 0x7fffffff using

namespace Std;
int n,a[n],b[n],c[n],cnt,last[n],s,t,s,pre[n],vis[n],col[n],maxf,sum,prime[n*n],not_prime[n*n],low[n*n];
LL Dis[n],ans; struct Edge{int from,to,next,c; LL W;}
E[N*N*5];

Queue <int> q;
        void Get_prime (int n) {for (int i=2;i<=n;i++) {if (!not_prime[i]) prime[++sum]=i,low[i]=sum; for (int j=1;j<=sum&&i*prime[j]<=n;j++) {Not_prime[i*prime[j]]=1;low[i*prime[j]]=prime
            [j];
        if (i%prime[j]==0) break; }} void Addedge (int u,int v,int c,ll w) {E[++cnt].from=u;e[cnt].to=v;e[cnt].c=c;e[cnt].w=w;e[cnt].next=last[u
    ];last[u]=cnt;
e[++cnt].from=v;e[cnt].to=u;e[cnt].c=0;e[cnt].w=-w;e[cnt].next=last[v];last[v]=cnt; BOOL Spfa () {for (int i=0;i<=s;i++) DIS[I]=-1E15;
    Q.push (S); vis[s]=1;dis[s]=0;
        while (!q.empty ()) {int U=q.front ();
        Q.pop ();
                for (int i=last[u];i;i=e[i].next) if (e[i].c&&dis[u]+e[i].w>dis[e[i].to]) {
                DIS[E[I].TO]=DIS[U]+E[I].W;
                Pre[e[i].to]=i;
                    if (!vis[e[i].to]) {vis[e[i].to]=1;
                Q.push (e[i].to);
    }} vis[u]=0;
    } if (DIS[T]==-1E15) return 0;
else return 1;
    } void Mcf () {int mn=inf,x=t;
        while (Pre[x]) {mn=min (MN,E[PRE[X]].C);
    X=e[pre[x]].from;
    } ans+= (LL) mn*dis[t];
    MAXF+=MN;
    x=t;
        while (Pre[x]) {e[pre[x]].c-=mn;
        E[PRE[X]^1].C+=MN;
    X=e[pre[x]].from;
    } bool Check (int mid) {e[cnt^1].c=mid;e[cnt].c=0;
    for (int i=2;i<=cnt;i+=2) e[i].c+=e[i^1].c,e[i^1].c=0;
    ans=0;maxf=0;
    while (SPFA ()) MCF (); if (aNs>=0&&maxf==mid) return 1;
else return 0;
    int main () {get_prime (40000);
    scanf ("%d", &n);
    int tot=0;
    for (int i=1;i<=n;i++) scanf ("%d", &a[i]);
    for (int i=1;i<=n;i++) scanf ("%d", &b[i]), tot+=b[i];
    for (int i=1;i<=n;i++) scanf ("%d", &c[i]);
        for (int i=1;i<=n;i++) {int x=a[i];
                for (int j=1;j<=sum;j++) if (x%prime[j]==0) {while (x%prime[j]==0)
                {COL[I]++;X/=PRIME[J];
    }} cnt=1;
                for (int i=1;i<=n;i++) if (col[i]%2==0) for (int j=1;j<=n;j++) if (col[j]%2==1)
                    {int x=i,y=j;
                    if (A[x]>a[y]) swap (x,y);
                if (A[y]%a[x]==0&&col[x]+1==col[y]) Addedge (I,j,inf, (LL) c[i]*c[j]); } s=0;t=n+1;
    s=n+2; for (int i=1;i<=n;i++) if (col[i]%2==0) Addedge (s,i,b[i],0);
    else Addedge (i,t,b[i],0);
    Addedge (s,s,0,0);
    int L=1,r=tot;
        while (l<=r) {int mid= (L+R)/2;
        if (check (mid)) l=mid+1;
    else r=mid-1;
    printf ("%d", l-1);
return 0; }

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