Solution in Python without division, still in O(n²), but inner loop is only executed n²/2 times:
def prod(input): output = [] product = 1 for number in input: for i in range(len(output)): output[i] *= number output.append(product) product *= number return output
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Solution in Python without division, still in O(n²), but inner loop is only executed n²/2 times: