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Solution: First Missing Positive

Understand how to find the smallest missing positive integer in an unsorted array by applying the cyclic sort algorithm. Learn how to place elements in their correct positions for O(n) time and constant space, then identify the missing positive. This lesson helps you optimize solutions for integer array problems commonly asked in coding interviews.

Statement

Given an unsorted integer array, nums, return the smallest missing positive integer. Create an algorithm that runs with an O(n)O(n) time complexity and utilizes a constant amount of space.

Note: The smallest missing positive isn’t the first positive number that’s missing in the range of elements in the input, but the first positive number that’s missing if we start from 11.

Constraints:

  • 11 \leq nums.length 105\leq 10^5 ...