holiday/8.16/N-HarmonicNumber/Harmonicreference1-2.cpp
2022-08-18 10:53:07 +08:00

43 lines
542 B
C++

#include<iostream>
#include<cstdio>
using namespace std;
const int N=1e6+5;
const int size=100;
double hn[N];
void gethn(){
int i,j,k;
double temp;
hn[0]=0;
temp=0;
k=1;
for(i=1;i<=N;i++){
for(j=1;j<=size;j++){
temp+=(1.0)/k;
k++;
}
hn[i]=temp;
}
}
double readhn(int x){
double ans;
int c=x%size;
ans=hn[x/size];
for(int i=x-c+1;i<=x;i++) ans+=1.0/i;
return ans;
}
int main(){
gethn();
int i,t,n;
scanf("%d",&t);
for(i=1;i<=t;i++){
scanf("%d",&n);
printf("Case %d: %.10lf\n",i,readhn(n));
}
return 0;
}