0169 Majority Element

Solved at: 2023-01-28

Majority Element

Question

Given an array nums of size n, return the majority element.

The majority element is the element that appears more than ⌊n / 2⌋ times. You may assume that the majority element always exists in the array.

Solution

class Solution {
    func majorityElement(_ nums: [Int]) -> Int {
        var map = [Int: Int]()
        for num in nums {
            if map.keys.contains(num) {
                map[num]! += 1
            }
            else {
                map[num] = 1
            }
        }
        var maxVal = 0
        var maxKey = 0
        for (idx, (key, val)) in map.enumerated() {
            if val > maxVal {
                maxVal = val
                maxKey = key
            }
        }
        return maxKey
    }
}

Results

• Runtime 102 ms, Beats 76.95%
• Memory 15.8 MB, Beats 65.42%

Complexity Analysis

$O(n)$ for both

Improved

Boyer-Moore Voting Algorithm

using you cannot discard the majority item

class Solution {
    func majorityElement(_ nums: [Int]) -> Int {
        var count : Int = 0
        var candidate: Int? = nil

        for num in nums {
            if count == 0 {
                candidate = num
            }
            if candidate == num {
                count += 1
            } else {
                count -= 1
            }
        }
        return candidate!
    }
}

This gives space complexity $O(1)$