How to Solve Third Maximum Number Problem
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Third Maximum Number
Given an integer array nums, return the third distinct maximum number in this array. If the third maximum does not exist, return the maximum number.
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Understanding the Third Maximum Number Problem
Let's break down this LeetCode problem and understand what makes it challenging in interview settings.
Problem Statement
Given an integer array nums, return the third distinct maximum number in this array. If the third maximum does not exist, return the maximum number.
Third Maximum Number
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Examples
nums = [3,2,1]
1
The first distinct maximum is 3. The second distinct maximum is 2. The third distinct maximum is 1.
nums = [1,2]
2
The first distinct maximum is 2. The second distinct maximum is 1. The third distinct maximum does not exist, so the maximum (2) is returned instead.
nums = [2,2,3,1]
1
The first distinct maximum is 3. The second distinct maximum is 2 (both 2's are counted together since they have the same value). The third distinct maximum is 1.
Constraints
1 <= nums.length <= 104
231 <= nums[i] <= 231 - 1
Follow up: Can you find an O(n) solution?
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