Conditional Character Removal

Background

Congcong is learning string processing and encountered an interesting problem.

Problem Description

Given a string, return a version without the first 2 characters. However, keep the first character if it is 'a', and keep the second character if it is 'b'. The string can be of any length.

Input Format

Input is given from standard input in the following format.

A string.

Output Format

Output is printed to standard output in the following format.

The processed string.

Sample

Hello

"llo"

java

"va"

away

"aay"

Sample Explanation

For the first sample Hello: The first character 'H' is not 'a', and the second character 'e' is not 'b', so both first two characters are removed, resulting in "llo". For the second sample java: The first character 'j' is not 'a', and the second character 'a' is not 'b', so both first two characters are removed, resulting in "va". For the third sample away: The first character 'a' is 'a', so it is kept. The second character 'w' is not 'b', so it is removed. The final result is "aay".

Constraints

Time limit: 1 second per test case. Memory limit: 1024 KiB per test case.