hdu 1016 Prime Ring Problem
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#include<iostream>using namespace std;bool isprime(int);void backtrack(int);bool check(int);int n;int tu[21];int main(){ int count=0; while(cin>>n) { count++; tu[1]=1; cout<<"Case "<<count<<":"<<endl; backtrack(2); cout<<endl; } return 0;}bool isprime(int n){ for(int i=2;i<=n/2;i++) { if(n%i==0) return false; } return true;}bool check(int t){ for(int i=1;i<t;i++) { if(tu[i]==tu[t]) return false; } return true;}void backtrack(int t){ if(t>n) { if(isprime(tu[n]+tu[1])&&check(n)) { for(int i=1;i<=n;i++) { cout<<tu[i]<<(i<n?' ':'\n'); } } } else { for(int i=2;i<=n;i++) { tu[t]=i; if(isprime(tu[t]+tu[t-1])&&check(t)) backtrack(t+1); } }}
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