problem

Given an array of size n, find the majority element. The majority element is the element that appears more than ⌊ n/2 ⌋ times.

You may assume that the array is non-empty and the majority element always exist in the array.

Example 1:

1
2
3
4
5
6
Input: [3,2,3]
Output: 3
Example 2:

Input: [2,2,1,1,1,2,2]
Output: 2

approach1:

1
2
3
4
5
6
class Solution {
public int majorityElement(int[] nums) {
Arrays.sort(nums);
return nums[nums.length / 2];
}
}

复杂度

  • time:O(nlogn)
  • space:O(1)

approach2:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
class Solution {
public int majorityElement(int[] nums) {
HashMap<Integer, Integer> map = new HashMap<>();
int res = 0;
for (int num : nums) {
if (!map.containsKey(num)) {
map.put(num, 1);
} else {
map.put(num, map.get(num) + 1);
}
if (map.get(num) > nums.length / 2) {
res = num;
break;
}
}
return res;

}
}

复杂度

  • time:O(n)
  • space:O(n)

approach3:

1
2
3
4
5
6
7
8
9
10
11
12
13
14
15
16
17
18
19
// 每次都找出一对不同的元素,从数组中删掉,直到数组为空或只有一种元素。
// 不难证明,如果存在元素e出现频率超过半数,那么数组中最后剩下的就只有e。
// [1,2,3,3,3]
class Solution {
public int majorityElement(int[] nums) {
int res = 0;
int count = 0;
for (int num : nums) {
if (count == 0) {
res = num;
}
if (res != num) {
count--;
} else
count++;
}
return res;
}
}

复杂度

  • time:O(n)
  • space:O(1)

approach4:

分治算法

Comments

Your browser is out-of-date!

Update your browser to view this website correctly. Update my browser now

×