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

  • 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.

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