Magic Squares

문제

Magic Squares are square arrays of numbers that have the interesting property that the numbers in each column, and in each row, all add up to the same total.

Given a 4 × 4 square of numbers, determine if it is magic square.

입력

The input consists of four lines, each line having 4 space-separated integers.

출력

Output either magic if the input is a magic square, or not magic if the input is not a magic square.