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Longest Subarray with Sum 0

Tracks prefix sum and first seen index in hash map.

Time O(n) Space O(n)
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Asked in interviews at

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Reference implementation (Python)

def max_len_zero_sum(arr):
    seen = {0: -1}
    max_len = s = 0
    for i, x in enumerate(arr):
        s += x
        if s in seen:
            max_len = max(max_len, i - seen[s])
        else:
            seen[s] = i
    return max_len

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<iframe src="/embed/longest-subarray-zero-sum" 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 Longest Subarray with Sum 0?

Longest Subarray with Sum 0 runs in O(n) time and O(n) auxiliary space.

Is the Longest Subarray with Sum 0 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 Longest Subarray with Sum 0 in interviews?

Longest Subarray with Sum 0 shows up in interviews at Atlassian, Shopify, LinkedIn.

How does the 3D visualization of Longest Subarray with Sum 0 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.

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