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41. First Missing Positive

Hard

Given an unsorted integer array nums, return the smallest missing positive integer.

You must implement an algorithm that runs in O(n) time and uses constant extra space.

Example 1:

Input: nums = [1,2,0]

Output: 3

Example 2:

Input: nums = [3,4,-1,1]

Output: 2

Example 3:

Input: nums = [7,8,9,11,12]

Output: 1

Constraints:

Solution

# @param {Integer[]} nums
# @return {Integer}
def first_missing_positive(nums)
  nums.each_with_index do |num, i|
    next if num <= 0 || num > nums.length || num == i + 1

    dfs(nums, num)
  end

  nums.each_with_index do |num, i|
    return i + 1 if num != i + 1
  end

  nums.length + 1
end

private

def dfs(nums, val)
  return if val <= 0 || val > nums.length || val == nums[val - 1]

  temp = nums[val - 1]
  nums[val - 1] = val
  dfs(nums, temp)
end