Problem solving with programming: Programming puzzle - calculating product array



Problem solving with programming: Programming puzzle - calculating product array

Programming puzzle - calculating product array

Given an array of numbers A[1:N], we have to generate a product array P[1:N] such that P[i] contains the product A[1]*...A[i-1]*A[i+1]...A[N]

That means each entry in the product array should contain product off all the elements except the one at that particular index.

For example let us consider the array [4, 2, 10, 5], the output should be {100, 200, 40, 80}.

The restriction here is that we have to device an algorithm without using division operation. Had it been allowed, we would have simply calculated the product of all the elements and fill the product array by dividing this with the current element.

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