Product of Array Except Self
Computes left and right prefix products in O(n) without using division.
Live loop — open the studio to scrub, add your own array, or race it in Battle Arena.
Asked in interviews at
Reference implementation (Python)
def product_except_self(arr):
n = len(arr)
res = [1] * n
left = 1
for i in range(n):
res[i] = left
left *= arr[i]
right = 1
for i in range(n - 1, -1, -1):
res[i] *= right
right *= arr[i]
return resEmbed this visualization
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<iframe src="/embed/product-except-self" width="100%" height="380" style="border:1px solid #e6e8ec;border-radius:14px" loading="lazy" title="3D algorithm visualization by CodeWithMunnaX"></iframe>Frequently asked
What is the time and space complexity of Product of Array Except Self?
Product of Array Except Self runs in O(n) time and O(1) auxiliary space.
Is the Product of Array Except Self visualizer free?
The core 3D visualizer, Web Audio chimes and step intuition are free. A one-time ₹49 Pro Pass unlocks advanced algorithms, large custom arrays, Battle Arena and reel export.
Which companies ask Product of Array Except Self in interviews?
Product of Array Except Self shows up in interviews at Amazon, Apple, Meta, Netflix.
How does the 3D visualization of Product of Array Except Self work?
Each array value becomes a 3D pillar whose height maps to its value. Comparisons glow amber, swaps flash red, and settled elements lock green while a floating pointer badge tracks the active index — synchronized line-by-line with the Python code.