#include #pragma GCC optimize("Ofast") #pragma GCC optimize("unroll-loops") namespace po167{ //out F_{n,k} //O(Nlog(N)) //N<2^{21} //F_{n,0}=={0,1} //if k==-1 -> return {n,len(F_{n})} //https://atcoder.jp/contests/joisc2008/submissions/40395171 std::pair Farey_Sequence(long long n,long long k){ std::vector p(n+1,1); for(int i=n;i>=1;i--){ for(int j=i*2;j<=n;j+=i) p[i]-=p[j]; } long long lim=0; for(long long i=1;i<=n;i++) lim+=i*p[i]; if(k==-1) return {n,lim}; if(k==0) return {0,1}; if(lim==k) return {1,1}; if(lim1){ long long med=(l+r)/2; long long tmp=0; for(long long i=1;i<=n;i++) tmp+=(p[i]*((i*med)/M)); if(tmp solve_yuki_2262(long long N,long long K){ auto tmp=po167::Farey_Sequence(N,-1); if(tmp.second*2ll-1>T; rep(i,0,T){ ll N,K; cin>>N>>K; auto ans=solve_yuki_2262(N,K); if(ans.first==-1) cout<<"-1\n"; else cout<