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KILO 2018 3/5

Start:2018-09-20 16:30:00
End:2018-09-20 18:30:00
 

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CSES - KILO 2018 3/5 - Rodent's RevengeCSES - Rodent's Revenge

Rodent's Revenge

Time limit:1.00 s
Memory limit:512 MB

Given two integers $n$ and $k$, your task is to construct an array that contains every integer between $1 \dots n$ exactly once and there are exactly $k$ consecutive elements such that the first element is greater than the second element.

Input

The only input line has two integers $n$ and $k$.

Output

Print one line that contains the array. You may print any valid solution.

Constraints
Example

Input:
5 2

Output:
1 4 2 5 3