Problem E
Bijele
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
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One queen
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Two rooks
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Two bishops
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Two knights
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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.
| Sample Input 1 | Sample Output 1 |
|---|---|
0 1 2 2 2 7 |
1 0 0 0 0 1 |
| Sample Input 2 | Sample Output 2 |
|---|---|
2 1 2 1 2 1 |
-1 0 0 1 0 7 |