Python实现Pat 1085. Perfect Sequence (25)

左手的ㄟ右手 2022-06-04 06:53 124阅读 0赞

### [题目][Link 1] ###

Given a sequence of positive integers and another positive integer p. The sequence is said to be a “perfect sequence” if M <= m \* p where M and m are the maximum and minimum numbers in the sequence, respectively.

Now given a sequence and a parameter p, you are supposed to find from the sequence as many numbers as possible to form a perfect subsequence.

Input Specification:

Each input file contains one test case. For each case, the first line contains two positive integers N and p, where N (<= 105) is the number of integers in the sequence, and p (<= 109) is the parameter. In the second line there are N positive integers, each is no greater than 109.

Output Specification:

For each test case, print in one line the maximum number of integers that can be chosen to form a perfect subsequence.

Sample Input:  
10 8  
2 3 20 4 5 1 6 7 8 9  
Sample Output:  
8

### 解答 ###

排序题。

N,p = [int(x) for x in input().split(' ')]
    nums=[int(x) for x in input().split(' ')]
    nums.sort()
    low=0
    up=1
    maximum =1
    for low in range(N-1):
        while(up<N):
            if nums[up]<=nums[low]*p:
                up+=1
            elif up-low>maximum:
                maximum=up-low
            else:
                break
    print (maximum)

### 又有错误，懒得调试了。 ###

![这里写图片描述][SouthEast]

[Link 1]: https://www.patest.cn/contests/pat-a-practise/1085
[SouthEast]: /images/20220604/57aa3e39ff30471db0a85ec9f978d1ee.png

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