1085. Perfect Sequence
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
知识点:
剪枝,遍历的时候,如果 list[i]*p < list[j] 的话,就剪枝
另外,比当前完美序列长度小的就不用遍历了,j 直接从 i+cnt 开始
#include <iostream>
#include <vector>
#include <algorithm>
using namespace std; int main(){
vector<int> list;
long long p,tmp;
int n; scanf("%d %lld",&n,&p); for(int i=;i<n;i++){
scanf("%lld",&tmp);
list.push_back(tmp);
}
sort(list.begin(),list.end()); int cnt=; for(int i=;i<n;i++){
for(int j=i+cnt;j<n;j++){
if(list[i]*p>=list[j]){
if(j-i>cnt)
cnt=j-i;
}else{
break;
}
}
}
printf("%d",cnt+);
}
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