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 (≤10e5) is the number of integers in the sequence, and p (≤10e9) is the parameter. In the second line there are N positive integers, each is no greater than 10e9.
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
Note
- 题意:M≤m×p find最大长度,其中m位最小值,M为最大值
- 思路:亮点 J 从 cnt 开始即可,因为目的是找到更长的cnt
Code
#include<iostream>
#include<algorithm>
#include<cmath>
using namespace std;
long long a[100010] = {0};
int main(){
int num, p;
int cnt = 0;
cin >> num >>p;
for(int i = 0; i < num; i++){
cin >> a[i];
}
sort(a, a+num);
for(int i = 0; i < num; i++){
for(int j = i + cnt; j < num;j++ ){
if(a[i] * p >= a[j] ){
if(j - i + 1 > cnt) cnt = j - i + 1;
}
else break;
}
}
cout << cnt;
return 0;
}