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.
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 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.
| Input | Output |
|---|---|
| 0 1 2 2 2 7 | 1 0 0 0 0 1 |
| 2 1 2 1 2 1 | -1 0 0 1 0 7 |