Third Maximum Number

本文介绍了一种算法,用于从非空整数数组中找出第三大的数。若不存在第三大的数,则返回最大的数。通过将数组转换为集合来去除重复元素,并实现O(n)的时间复杂度。

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.

考虑到存在相同的数的情况,用set消除相同的数。然后再找到第三大的数。

class Solution(object):
    def thirdMax(self, nums):
        """
        :type nums: List[int]
        :rtype: int
        """
        nums =set(nums)

        if len(nums) < 3:
            return max(nums)

        nums.remove(max(nums))
        nums.remove(max(nums))

        return max(nums)
A piece of paper contains an array of n integers a1,&thinsp;a2,&thinsp;...,&thinsp;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&thinsp;≤&thinsp;n&thinsp;≤&thinsp;105; 0&thinsp;≤&thinsp;k&thinsp;≤&thinsp;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,&thinsp;a2,&thinsp;...,&thinsp;an (|ai|&thinsp;≤&thinsp;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,&thinsp;4,&thinsp;4,&thinsp;0,&thinsp;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,&thinsp;5,&thinsp;5, if we increase each by one, we get 6,&thinsp;6,&thinsp;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,&thinsp;2,&thinsp;2,&thinsp;2,&thinsp;2, where number 2 occurs 4 times.讲解这道题
最新发布
09-21
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