H.Little Sub and Counting
Description
Little Sub likes Math. Now he has a simple counting problem for you.
Given an positive integer sequence A, for each Ai, Please calculate how many elements Aj in the sequence satisfied Ai^Aj > Aj^Ai.
Input
The first line contains one positive integer n(1 ≤ n ≤ 100000).
The following line contains n positive integers Ai(1 ≤ Ai ≤ 2^31 − 1).
Output
Please output n integer in one line and separate them by a single space. The ith integer indicates the answer concerning Ai.
Author
CHEN, Jingbang
题解:xy>yx -->取ln --> ylnx>xlny-->x/lnx<y/lny,以此为依据排序统计个数即可.
#include <iostream>
#include <cstdio>
#include <algorithm>
#include <cmath>
const int N=1e5+5;
using namespace std;
typedef long long ll;
double a[N];
double b[N];
int main()
{
int n;
scanf("%d",&n);
for(int i=1;i<=n;i++) scanf("%lf",&a[i]),a[i]=1.0*a[i]/log(a[i]),b[i]=a[i];
sort(b+1,b+1+n);
for(int i=1;i<=n-1;i++){
printf("%d ",n-(upper_bound(b+1,b+1+n,a[i])-b)+1);
}
printf("%d ",n-(upper_bound(b+1,b+1+n,a[n])-b)+1);
//cout << "Hello world!" << endl;
return 0;
}