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414. Third Maximum Number

Description

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:

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:

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:

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 <= 104
  • -231 <= nums[i] <= 231 - 1

 

Follow up: Can you find an O(n) solution?

Solutions

  • class Solution {
        public int thirdMax(int[] nums) {
            long m1 = Long.MIN_VALUE;
            long m2 = Long.MIN_VALUE;
            long m3 = Long.MIN_VALUE;
            for (int num : nums) {
                if (num == m1 || num == m2 || num == m3) {
                    continue;
                }
                if (num > m1) {
                    m3 = m2;
                    m2 = m1;
                    m1 = num;
                } else if (num > m2) {
                    m3 = m2;
                    m2 = num;
                } else if (num > m3) {
                    m3 = num;
                }
            }
            return (int) (m3 != Long.MIN_VALUE ? m3 : m1);
        }
    }
    
  • class Solution {
    public:
        int thirdMax(vector<int>& nums) {
            long m1 = LONG_MIN, m2 = LONG_MIN, m3 = LONG_MIN;
            for (int num : nums) {
                if (num == m1 || num == m2 || num == m3) continue;
                if (num > m1) {
                    m3 = m2;
                    m2 = m1;
                    m1 = num;
                } else if (num > m2) {
                    m3 = m2;
                    m2 = num;
                } else if (num > m3) {
                    m3 = num;
                }
            }
            return (int) (m3 != LONG_MIN ? m3 : m1);
        }
    };
    
  • class Solution:
        def thirdMax(self, nums: List[int]) -> int:
            m1 = m2 = m3 = -inf
            for num in nums:
                if num in [m1, m2, m3]:
                    continue
                if num > m1:
                    m3, m2, m1 = m2, m1, num
                elif num > m2:
                    m3, m2 = m2, num
                elif num > m3:
                    m3 = num
            return m3 if m3 != -inf else m1
    
    
  • func thirdMax(nums []int) int {
    	m1, m2, m3 := math.MinInt64, math.MinInt64, math.MinInt64
    	for _, num := range nums {
    		if num == m1 || num == m2 || num == m3 {
    			continue
    		}
    		if num > m1 {
    			m3, m2, m1 = m2, m1, num
    		} else if num > m2 {
    			m3, m2 = m2, num
    		} else if num > m3 {
    			m3 = num
    		}
    	}
    	if m3 != math.MinInt64 {
    		return m3
    	}
    	return m1
    }
    

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