Mirko has found an old chessboard and a set of pieces in his attic. Unfortunately, the set contains only white pieces, and apparently an incorrect number of them. A set of pieces should contain:
 - One king
 - One queen
 - Two rooks
 - Two bishops
 - Two knights
 - Eight pawns

Mirko would like to know how many pieces of each type he should add or remove to make a valid set.

-----Input-----
The input consists of $6$ integers on a single line, each between $0$ and $10$ (inclusive). The numbers are, in order, the numbers of kings, queens, rooks, bishops, knights and pawns in the set Mirko found.

-----Output-----
Output should consist of $6$ integers on a single line; the number of pieces of each type Mirko should add or remove. If a number is positive, Mirko needs to add that many pieces. If a number is negative, Mirko needs to remove pieces.

-----Examples-----
Sample Input:
0 1 2 2 2 7
Sample Output:
1 0 0 0 0 1

Difficulty: introductory

Starter code:

Solutions: