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How to Fix Product of Array Except Self Errors

DodaTech Updated 2026-06-26 1 min read

In this tutorial, you'll learn about How to Fix Product of Array Except Self Errors. We cover key concepts, practical examples, and best practices.

Fix product of array except self errors when division creates zero errors or prefix-suffix overflows.

Quick Fix

Wrong

def product_except_self(n):
    t=1
    for x in n: t*=x
    return [t//x for x in n]

Division by zero when element is 0. Multiple zeros give wrong results.

def product_except_self(n):
    l=[1]*len(n); p=1
    for i in range(len(n)): l[i]=p; p*=n[i]
    s=1
    for i in range(len(n)-1,-1,-1): l[i]*=s; s*=n[i]
    return l
[1,2,3,4] -> [24,12,8,6]. [-1,1,0,-3,3] -> [0,0,9,0,0]. O(n).

Prevention

Never use division. Prefix product left-to-right, suffix right-to-left.

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FAQ

What is product except self?

Output[i]=product of all except nums[i]. O(n) without division.

Why no division?

Division by zero with zeros. Multiple zeros give wrong non-zero entries.

How prefix-suffix works?

First pass: prefix left. Second pass: multiply by suffix from right.

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