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[POI2015]Kwadraty

热度:38   发布时间:2023-12-12 00:23:11.0

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来自Claris的题解

#include<cstdio>
#define ll long long
#define N 507
ll n,l=12,r=1442250,m,t,ans;
int i,j,v[N],sum[N],f[N]={0,1,0,0,2,2,0,0,0,3,3,0,0,3,3,0,4,4,0,0,4,4,0,0,0,4,4,0,0,4,4,0,0,0,5,5,6,6,5,5,6,5,5,0,0,5,5,0,0,6,5,5,6,6,5,5,6,6,7,7,0,6,6,7,8,6,6,0,8,7,6,6,0,8,6,6,0,6,6,7,8,6,6,7,7,7,6,6,7,7,6,6,0,8,7,7,0,9,7,7,7,7,7,7,7,7,7,9,0,8,7,7,0,8,7,7,8,8,8,7,7,8,8,7,7,8,7,7,0,8,7,7,9,8,8,7,7,9,8,7,7,8,8,8,9,8,8,8,8,8,8,8,8,8,8,8,9,10,8,8,9,9,8,8,8,8,8,8,8,8,8,9,9,10,8,8,9,10,8,8,9,9,9,8,8,9,9,8,8,10,8,8,9,10,8,8,9,9,9,8,8,9,9,8,8,9,9,9,9,10,9,9,9,10,9,9,9,9,10,9,9,9,9,9,9,10,9,9,9,9,9,9,9,9,9,9,9,10,10,9,9,10,10,9,9,9,9,9,9,9,9,9,10,10,10,9,9,11,10,9,9,10,10,10,9,9,10,10,9,9,10,9,9,11,10,9,9,11,10,10,9,9,10,10,9,9,10,10,10,11,10,10,10,11,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,10,10,10,11,10,10,10,10,11,10,10,10,10,10,10,11,10,10,10,10,10,10,10,10,10,10,10,11,11,10,10,11,11,10,10,10,10,10,10,10,10,10,11,11,11,10,10,11,11,10,10,11,11,11,10,10,11,11,10,10,11,10,10,11,11,10,10,11,12,11,10,10,11,11,10,10,11,11,11,11,11,11,11,11,12,11,11,11,12,11,11,11,11,11,11,11,11,11,11,11,12,11,11,11,12,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,11,11,11,12,11,11,11,11,12,11,11,11,11,11,11,12,11,11,11,11,11,11,11,11,11,11,11,12,12,11,11,12,12,11,11,11,11,11,11,11,11,11,12,12,12,11,11,12,12,11,11,12,12,12,11,11,12,12,11,11,12,11,11,12,12,11,11,12,12,12,11,11,12,12,11,11};
ll F(ll x){return x*(x+1)*(x*2+1)/6;}
int main(){scanf("%lld",&n);for(i=2;i<N;++i) if(f[i]) for(j=1;j<i;++j) if(!f[j]||f[j]>f[i]) v[j]=1;for(i=2;i<N;++i) sum[i]=sum[i-1]+v[i];if(n<N) return f[n]?!printf("%d %d",f[n],sum[n]):!printf("- %d",sum[n]);while(l<=r) if(F(m=l+r>>1)>=n) r=(t=m)-1;else l=m+1;for(ans=(t-12)*31+sum[N-1],i=1;i<=128;++i) if(!f[i]&&F(t)-i<=n) ++ans;return !printf("%lld %lld",t+(F(t)>n&&F(t)-n<=128&&!f[F(t)-n]),ans);
}