Slightly Decreasing Permutations

Description

Permutationp is an ordered set of integersp₁,  p₂,  ...,  p_n, consisting ofn distinct positive integers, each of them doesn't exceedn. We'll denote the i-th element of permutation p asp_i. We'll call numbern the size or the length of permutation p₁,  p₂,  ...,  p_n.

The decreasing coefficient of permutation p₁, p₂, ..., p_n is the number of suchi (1 ≤ i < n), that p_i > p_i + 1.

You have numbers n and k. Your task is to print the permutation of length n with decreasing coefficient k.

Input

The single line contains two space-separated integers: n, k (1 ≤ n ≤ 10⁵, 0 ≤ k < n) — the permutation length and the decreasing coefficient.

Output

In a single line print n space-separated integers:p₁, p₂, ..., p_n — the permutation of lengthn with decreasing coefficient k.

If there are several permutations that meet this condition, print any of them. It is guaranteed that the permutation with the sought parameters exists.

Sample Input

Input

5 2

Output

1 5 2 4 3 

Input

3 0

Output

1 2 3

Input

3 2

Output

3 2 1

#include
#include
using namespace std;

int main(){
    int n,k,i;
    while(cin>>n>>k){
        for(i=0;i