Background

Mirko found an incomplete set of chess pieces in the attic.

Problem Description

A correct set of chess pieces should contain:

• one king;
• one queen;
• two rooks;
• two bishops;
• two knights;
• eight pawns.

Now you are given how many pieces of each type are in this incomplete set. Please determine how many pieces need to be added or removed to make a complete set.

Input Format

Input one line with six numbers, in order: the counts of kings, queens, rooks, bishops, knights, and pawns. These numbers are all in $0\sim 10$ (inclusive).

Output Format

Output one line with six numbers, in order: how many kings, queens, rooks, bishops, knights, and pawns need to be added or removed. Use positive numbers to indicate adding, and negative numbers to indicate removing.

0 1 2 2 2 7

1 0 0 0 0 1

2 1 2 1 2 1

-1 0 0 1 0 7

Hint

Explanation

This problem is translated from COCI2007-2008 CONTEST #2 T1 BIJELE。

Translated by ChatGPT 5