Skip Multiples of Three in an Interval

Source: Phước Hưng OJ

Version: Phuoc Hung OJ Extended

Problem Statement

Given integers $1\le l\le r$, inspect every integer in inclusive interval $[l,r]$. Skip multiples of 3 and print every remaining value on a separate line. Print nothing when none qualifies.

Input

One line contains $l,r$ with $1\le l\le r\le1000$.

Output

Each nonmultiple of 3 on a separate line in increasing order.

Subtasks

• Subtask 1 (20%): $1\le l\le r\le 30$.

• Subtask 2 (30%): $1\le l\le r\le 200$.

• Subtask 3 (50%): $1\le l\le r\le 1000$.

Examples

Example 1

Input:

2 7

Output:

2
4
5
7

Explanation:

Include both endpoints while skipping multiples of 3.

Example 2

Input:

3 3

Output:

Explanation:

Include both endpoints while skipping multiples of 3.