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  • 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

     1 #include <iostream>
     2 #include <vector>
     3 #include <algorithm>
     4 using namespace std;
     5 
     6 int main(){
     7     vector<int> list;
     8     long long p,tmp;
     9     int n; scanf("%d %lld",&n,&p);
    10     
    11     for(int i=0;i<n;i++){
    12         scanf("%lld",&tmp);
    13         list.push_back(tmp);
    14     }
    15     sort(list.begin(),list.end());
    16     
    17     int cnt=0;
    18     
    19     for(int i=0;i<n;i++){
    20         for(int j=i+cnt;j<n;j++){
    21             if(list[i]*p>=list[j]){
    22                 if(j-i>cnt)
    23                     cnt=j-i;
    24             }else{
    25                 break;
    26             }
    27         }
    28     }
    29     printf("%d",cnt+1);
    30 }
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  • 原文地址:https://www.cnblogs.com/lokwongho/p/9950435.html
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