A. Yet Another String Game
time limit per test2 seconds
memory limit per test512 megabytes
inputstandard input
outputstandard output
Homer has two friends Alice and Bob. Both of them are string fans.

One day, Alice and Bob decide to play a game on a string s=s1s2…sn of length n consisting of lowercase English letters. They move in turns alternatively and Alice makes the first move.

In a move, a player must choose an index i (1≤i≤n) that has not been chosen before, and change si to any other lowercase English letter c that c≠si.

When all indices have been chosen, the game ends.

The goal of Alice is to make the final string lexicographically as small as possible, while the goal of Bob is to make the final string lexicographically as large as possible. Both of them are game experts, so they always play games optimally. Homer is not a game expert, so he wonders what the final string will be.

A string a is lexicographically smaller than a string b if and only if one of the following holds:

a is a prefix of b, but a≠b;
in the first position where a and b differ, the string a has a letter that appears earlier in the alphabet than the corresponding letter in b.
Input
Each test contains multiple test cases. The first line contains t (1≤t≤1000) — the number o