414 Third Maximum Number

本文介绍了一种在非空整数数组中寻找第三大数的算法,并提供了具体实现案例。当数组中不存在第三大数时,则返回最大数。文章通过排序和去重实现了O(n)的时间复杂度。

题目来源【Leetcode

Given a non-empty array of integers, return the third maximum number in this array. If it does not exist, return the maximum number. The time complexity must be in O(n).

Example 1:
Input: [3, 2, 1]
Output: 1
Explanation: The third maximum is 1.

Example 2:
Input: [1, 2]
Output: 2
Explanation: The third maximum does not exist, so the maximum (2) is returned instead.

Example 3:
Input: [2, 2, 3, 1]
Output: 1
Explanation: Note that the third maximum here means the third maximum distinct number.
Both numbers with value 2 are both considered as second maximum.

这道题比较简单,就是求第三大的数,考虑好几种特殊情况就没啥问题了

class Solution {
public:
    int thirdMax(vector<int>& nums) {
        int s = nums.size();
        if(s == 0) return 0;
        sort(nums.begin(),nums.end());
        nums.erase(unique(nums.begin(),nums.end()),nums.end());
        if(nums.size() == 1) return nums[0];
        else if(nums.size() == 2)  return nums[1];
        else if(nums.size() == 3)  return nums[0];
        else return nums[nums.size()-3];
    }
};
A piece of paper contains an array of n integers a1, a2, ..., an. Your task is to find a number that occurs the maximum number of times in this array. However, before looking for such number, you are allowed to perform not more than k following operations — choose an arbitrary element from the array and add 1 to it. In other words, you are allowed to increase some array element by 1 no more than k times (you are allowed to increase the same element of the array multiple times). Your task is to find the maximum number of occurrences of some number in the array after performing no more than k allowed operations. If there are several such numbers, your task is to find the minimum one. Input The first line contains two integers n and k (1 ≤ n ≤ 105; 0 ≤ k ≤ 109) — the number of elements in the array and the number of operations you are allowed to perform, correspondingly. The third line contains a sequence of n integers a1, a2, ..., an (|ai| ≤ 109) — the initial array. The numbers in the lines are separated by single spaces. Output In a single line print two numbers — the maximum number of occurrences of some number in the array after at most k allowed operations are performed, and the minimum number that reaches the given maximum. Separate the printed numbers by whitespaces. Examples Inputcopy Outputcopy 5 3 6 3 4 0 2 3 4 Inputcopy Outputcopy 3 4 5 5 5 3 5 Inputcopy Outputcopy 5 3 3 1 2 2 1 4 2 Note In the first sample your task is to increase the second element of the array once and increase the fifth element of the array twice. Thus, we get sequence 6, 4, 4, 0, 4, where number 4 occurs 3 times. In the second sample you don't need to perform a single operation or increase each element by one. If we do nothing, we get array 5, 5, 5, if we increase each by one, we get 6, 6, 6. In both cases the maximum number of occurrences equals 3. So we should do nothing, as number 5 is less than number 6. In the third sample we should increase the second array element once and the fifth element once. Thus, we get sequence 3, 2, 2, 2, 2, where number 2 occurs 4 times.讲解这道题
09-21
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