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All Problems

Find the Duplicate Number

Solution Approach
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MediumarrayExpected: O(n log n) for binary search on value range time, O(1) space
binary-searchtwo-pointers

Problem

Given an array of integers nums containing n + 1 integers where each integer is in the range [1, n] inclusive.

There is only one repeated number in nums, return this repeated number.

You must solve the problem without modifying the array nums and using only constant extra space.

Constraints: 1 <= n <= 10^5. nums.length == n + 1. 1 <= nums[i] <= n. All the integers in nums appear only once except for precisely one integer which appears two or more times.

Example 1:

Input: nums = [1,3,4,2,2]
Output: 2

Example 2:

Input: nums = [3,1,3,4,2]
Output: 3

Example 3:

Input: nums = [3,3,3,3,3]
Output: 3
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