Third Maximum Number Problem


Description

LeetCode Problem 414.

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.

Example 1:

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Input: nums = [3,2,1]
Output: 1
Explanation:
The first distinct maximum is 3.
The second distinct maximum is 2.
The third distinct maximum is 1.

Example 2:

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Input: nums = [1,2]
Output: 2
Explanation:
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.

Example 3:

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Input: nums = [2,2,3,1]
Output: 1
Explanation:
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 <= 10^4
  • -2^31 <= nums[i] <= 2^31 - 1


Sample C++ Code

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class Solution {
public:
    int thirdMax(vector<int>& nums) {
        long long a, b, c;
        a = b = c = LLONG_MIN;
        for (auto num : nums) {
            if (num <= c || num == b || num == a) continue;
            c = num;
            if (c > b) swap(b, c);
            if (b > a) swap(a, b);
        }
        return c == LLONG_MIN ? a : c;
    }
};




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