UVA 10837(p345)----A Research Problem
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#include<iostream>#include<cstdio>#include<cstring>using namespace std;const int maxp=10000+10;bool vis[maxp],done[222];int pri[maxp],pnum,cur_p[555],cnt_p[555];int tot,ans,v[maxp];void get_prime(int n){ vis[1]=1; for(int i=2;i*i<=n;i++) if(!vis[i]) for(int j=i*i;j<=n;j+=i) vis[j]=1; pnum=0; for(int i=2;i<=n;i++) if(!vis[i]) pri[pnum++]=i;}void split(int n){ tot=0; for(int i=0;i<pnum&&(pri[i]-1)*(pri[i]-1)<=n;i++) if(n%(pri[i]-1)==0) cur_p[tot++]=pri[i];}int judge(int n){ if(n==1) return n; n++; for(int i=0;i<pnum&&pri[i]*pri[i]<=n;i++) if(n%pri[i]==0) return -1; for(int i=0;i<tot;i++) if(v[i]&&n==cur_p[i]) return -1; return n;}void dfs(int left,int now,int c){ if(c==tot) { int ret=judge(now); if(ret>0) ans=min(ans,left*ret); return ; } dfs(left,now,c+1); if(now%(cur_p[c]-1)==0) { v[c]=1; left*=cur_p[c]; now/=cur_p[c]-1; while(1) { dfs(left,now,c+1); if(now%cur_p[c]) return ; now/=cur_p[c]; left*=cur_p[c]; } v[c]=0; }}void solve(int n){ memset(done,false,sizeof(done)); memset(v,false,sizeof(v)); ans=1e8*2; split(n); dfs(1,n,0);}int main(){ get_prime(10000); int n,cas=1; while(scanf("%d",&n)!=EOF&&n) { solve(n); printf("Case %d: %d %d\n",cas++,n,ans); } return 0;}
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