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 Specification

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 Specification

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

0 1 2 2 2 7

Sample Output 1

1 0 0 0 0 1

Sample Input 2

2 1 2 1 2 1

Sample Output 2

-1 0 0 1 0 7