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Omni-MATH / In how many ways can one fill a 4×4 grid with a 0 or 1 in each square such that the sum of the entries in each row, column, and long diagonal is even?

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problem

In how many ways can one fill a 4×44 \times 4 grid with a 0 or 1 in each square such that the sum of the entries in each row, column, and long diagonal is even?
Plain-text mathematical notation (without MathML)
In how many ways can one fill a 4×4 grid with a 0 or 1 in each square such that the sum of the entries in each row, column, and long diagonal is even?
Original LaTeX notation
In how many ways can one fill a \(4 \times 4\) grid with a 0 or 1 in each square such that the sum of the entries in each row, column, and long diagonal is even?

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