PAT:A1085 Perfect Sequence (25 分)
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 Mand 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
代码:
#include<cstdio>
#include<iostream>
#include<algorithm>
using namespace std;
const int maxn = 100010;
int main() {
long long a[maxn], ans = 1, M, p;
cin >>M>>p;
for(int i = 0; i < M; i++) {
cin>>a[i];
}
sort(a, a+M);
for (int i = 0; i < M; ++i) {
for (int j = i+ans-1; j < M;++j){
if (a[j] <= a[i]*p) {
if (j-i+1 > ans) {
ans = j - i + 1;
}
}else{
break;
}
}
}
cout << ans;
return 0;
}