Consider a matrix consisting of ones in the first column and anywhere the row index divides the column index. The 4x4 matrix is [1 1 1 1; 1 1 0 1; 1 0 1 0; 1 0 0 1]. The 1000x1000 matrix is depicted below.
Write a function to compute the determinant of these matrices, given an array of sizes.
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