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Advanced · 2D lists · 180 of 264

Magic square

A magic square has every row, every column and both diagonals adding up to the same number.

Input: n, then n lines of n whole numbers. Output: magic or not magic

Examples

Input
3
2 7 6
9 5 1
4 3 8
Output
magic
Input
3
1 2 3
4 5 6
7 8 9
Output
not magic
Input
1
5
Output
magic

2 more tests check other inputs when you press Check.

Stuck? The idea behind 2d lists

A list of lists is a grid: grid[row][col]. Read one row per line, each turned into numbers.

Loop over rows, then over the columns inside each row. zip(*grid) turns rows into columns.

grid = [[1, 2, 3], [4, 5, 6]]
for row in grid:
    print(*row)
print(grid[1][2])  # 6

Watch for: [[0] * 3] * 2 makes two names for the same row: changing one changes both. Build rows with a comprehension: [[0] * 3 for _ in range(2)].

All the 2d lists exercises
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