Description

There are n walruses standing in a queue in an airport. They are numbered starting from the queue‘s tail: the 1-st walrus stands at the end of the queue and the n-th walrus stands at the beginning of the queue. The i-th walrus has the age equal to a_i.

The i-th walrus becomes displeased if there‘s a younger walrus standing in front of him, that is, if exists such j

The airport manager asked you to count for each of n

Input

The first line contains an integer n (2?≤?n?≤?10⁵) — the number of walruses in the queue. The second line contains integers a_i (1?≤?a_i?≤?10⁹).

Note that some walruses can have the same age but for the displeasure to emerge the walrus that is closer to the head of the queue needs to be strictly younger than the other one.

Output

Print n numbers: if the i-th walrus is pleased with everything, print "-1" (without the quotes). Otherwise, print the i-th walrus‘s displeasure: the number of other walruses that stand between him and the furthest from him younger walrus.

Sample Input

6
10 8 5 3 50 45

2 1 0 -1 0 -1 

7
10 4 6 3 2 8 15

4 2 1 0 -1 -1 -1 

5
10 3 1 10 11

1 0 -1 -1 -1 

#include <algorithm>
#include <stdio.h>
using namespace std;
#define N 100100
int num[N];
int main()
{
    long long m,n,t,i,sum=0;
      scanf("%lld %lld",&n,&m);
      for(i=0;i<n;i++)
        scanf("%d",&num[i]);
    for(i=0;i<n-2;i++)
    {
      t=upper_bound(num,num+n,num[i]+m)-num;
      sum+=(t-i-1)*(t-i-2)/2;//排列組合化簡
    }
    printf("%lld",sum);
    return 0;

}

Queue