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ArrayMedium

Duplicate Number (1 to n)

Floyd's Tortoise and Hare cycle detection in array-as-linked-list.

Time O(n) Space O(1)
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Asked in interviews at

NetflixAmazonByteDance

Reference implementation (Python)

def find_duplicate(arr):
    slow = fast = arr[0]
    while True:
        slow = arr[slow]
        fast = arr[arr[fast]]
        if slow == fast: break
    slow = arr[0]
    while slow != fast:
        slow = arr[slow]; fast = arr[fast]
    return slow

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<iframe src="/embed/duplicate-number-1-to-n" 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 Duplicate Number (1 to n)?

Duplicate Number (1 to n) runs in O(n) time and O(1) auxiliary space.

Is the Duplicate Number (1 to n) 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 Duplicate Number (1 to n) in interviews?

Duplicate Number (1 to n) shows up in interviews at Netflix, Amazon, ByteDance.

How does the 3D visualization of Duplicate Number (1 to n) 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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