Skip to content

Latest commit

 

History

History
 
 

0229.Majority Element II

Folders and files

NameName
Last commit message
Last commit date

parent directory

..
 
 
 
 
 
 
 
 
 
 
 
 
 
 

English Version

题目描述

给定一个大小为 的整数数组,找出其中所有出现超过 ⌊ n/3 ⌋ 次的元素。

进阶:尝试设计时间复杂度为 O(n)、空间复杂度为 O(1)的算法解决此问题。

 

示例 1:

输入:[3,2,3]
输出:[3]

示例 2:

输入:nums = [1]
输出:[1]

示例 3:

输入:[1,1,1,3,3,2,2,2]
输出:[1,2]

 

提示:

  • 1 <= nums.length <= 5 * 104
  • -109 <= nums[i] <= 109

解法

摩尔投票法。

Python3

class Solution:
    def majorityElement(self, nums: List[int]) -> List[int]:
        n1 = n2 = 0
        m1, m2 = 0, 1
        for m in nums:
            if m == m1:
                n1 += 1
            elif m == m2:
                n2 += 1
            elif n1 == 0:
                m1, n1 = m, 1
            elif n2 == 0:
                m2, n2 = m, 1
            else:
                n1, n2 = n1 - 1, n2 - 1
        return [m for m in [m1, m2] if nums.count(m) > len(nums) // 3]

Java

class Solution {
    public List<Integer> majorityElement(int[] nums) {
        int n1 = 0, n2 = 0;
        int m1 = 0, m2 = 1;
        for (int m : nums) {
            if (m == m1) {
                ++n1;
            } else if (m == m2) {
                ++n2;
            } else if (n1 == 0) {
                m1 = m;
                ++n1;
            } else if (n2 == 0) {
                m2 = m;
                ++n2;
            } else {
                --n1;
                --n2;
            }
        }
        List<Integer> ans = new ArrayList<>();
        n1 = 0;
        n2 = 0;
        for (int m : nums) {
            if (m == m1) {
                ++n1;
            } else if (m == m2) {
                ++n2;
            }
        }
        if (n1 > nums.length / 3) {
            ans.add(m1);
        }
        if (n2 > nums.length / 3) {
            ans.add(m2);
        }
        return ans;
    }
}

C++

class Solution {
public:
    vector<int> majorityElement(vector<int>& nums) {
        int n1 = 0, n2 = 0;
        int m1 = 0, m2 = 1;
        for (int m : nums)
        {
            if (m == m1) ++n1;
            else if (m == m2) ++n2;
            else if (n1 == 0)
            {
                m1 = m;
                ++n1;
            }
            else if (n2 == 0)
            {
                m2 = m;
                ++n2;
            }
            else
            {
                --n1;
                --n2;
            }
        }
        vector<int> ans;
        if (count(nums.begin(), nums.end(), m1) > nums.size() / 3) ans.push_back(m1);
        if (count(nums.begin(), nums.end(), m2) > nums.size() / 3) ans.push_back(m2);
        return ans;
    }
};

Go

func majorityElement(nums []int) []int {
	var n1, n2 int
	m1, m2 := 0, 1
	for _, m := range nums {
		if m == m1 {
			n1++
		} else if m == m2 {
			n2++
		} else if n1 == 0 {
			m1, n1 = m, 1
		} else if n2 == 0 {
			m2, n2 = m, 1
		} else {
			n1, n2 = n1-1, n2-1
		}
	}
	n1, n2 = 0, 0
	for _, m := range nums {
		if m == m1 {
			n1++
		} else if m == m2 {
			n2++
		}
	}
	var ans []int
	if n1 > len(nums)/3 {
		ans = append(ans, m1)
	}
	if n2 > len(nums)/3 {
		ans = append(ans, m2)
	}
	return ans
}

C#

public class Solution {
    public IList<int> MajorityElement(int[] nums) {
        int n1 = 0, n2 = 0;
        int m1 = 0, m2 = 1;
        foreach (int m in nums)
        {
            if (m == m1)
            {
                ++n1;
            }
            else if (m == m2)
            {
                ++n2;
            }
            else if (n1 == 0)
            {
                m1 = m;
                ++n1;
            }
            else if (n2 == 0)
            {
                m2 = m;
                ++n2;
            }
            else
            {
                --n1;
                --n2;
            }
        }
        var ans = new List<int>();
        ans.Add(m1);
        ans.Add(m2);
        return ans.Where(m => nums.Count(n => n == m) > nums.Length / 3).ToList();
    }
}

...