There is a 5×5 grid. You have to fill 25 squares with 0 & 1. Every neighboring square's number's product has to be 0.,,

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There is a 5×5 grid in front of you. You have to fill 25 squares with only 0 and 1. But, every neighboring square's number's product has to be 0. How many possible grids there are?

posted Jan 5

There are 2 possible patterns to fill the grid, every 1 must have 0 in neighboring square, see picture

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The conditions are as follows;

You may use any of the four basic operation (which are addition, subtraction, multiplication & division).
You can also use parenthesis if needed.
You cannot repeat the numbers.
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