Skip Multiples of k

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given positive $n,k$, omit each index $i\in[1,n]$ with $i\bmod k=0$. Print remaining indices in ascending order separated by exactly one space, or EMPTY if none. Do not print a trailing space.

Input

One line contains $n$ and $k$; $1\le k\le100$.

Output

Print one line of remaining indices, or EMPTY.

Subtasks

• Subtask 1 (20%): $1\le n\le 8$, $1\le k\le100$.

• Subtask 2 (30%): $1\le n\le 35$, $1\le k\le100$.

• Subtask 3 (50%): $1\le n\le 100$, $1\le k\le100$.

Examples

Example 1

Input:

5 2

Output:

1 3 5

Explanation:

Skip indices divisible by k; print EMPTY if none remain.

Example 2

Input:

1 1

Output:

EMPTY

Explanation:

Skip indices divisible by k; print EMPTY if none remain.