Though both Rikka and Yuta are busy with study, on their common leisure, they always spend time with each other and sometimes play some interesting games.
Today, the rule of the game is quite simple. Given a string s with only lowercase letters. Rikka and Yuta need to operate the string in turns while the first operation is taken by Rikka.
In each turn, the player has two choices: The first one is to terminate the game, and the second one is to select an index i of s and right shift the value of char si, i.e., a→b,b→c,…,y→z,z→a.
If the game is still alive after 2^101 turns, i.e., after Yuta finishes his 2^100 turns, the game will end automatically. The final result is the value of s when the game is over.
Now, Rikka wants to minimize the lexicographical order of the result while Yuta wants to maximize it. You are required to calculate the result of the game if both Rikka and Yuta play optimally.
For two string a and b with equal length m, a is lexicographically smaller than b if and only if there exists an index i∈[1,n] which satisfies ai<bi and aj=bjholds for all j∈[1,i).
Today, the rule of the game is quite simple. Given a string s with only lowercase letters. Rikka and Yuta need to operate the string in turns while the first operation is taken by Rikka.
In each turn, the player has two choices: The first one is to terminate the game, and the second one is to select an index i of s and right shift the value of char si, i.e., a→b,b→c,…,y→z,z→a.
If the game is still alive after 2^101 turns, i.e., after Yuta finishes his 2^100 turns, the game will end automatically. The final result is the value of s when the game is over.
Now, Rikka wants to minimize the lexicographical order of the result while Yuta wants to maximize it. You are required to calculate the result of the game if both Rikka and Yuta play optimally.
For two string a and b with equal length m, a is lexicographically smaller than b if and only if there exists an index i∈[1,n] which satisfies ai<bi and aj=bjholds for all j∈[1,i).