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  • cf 13c

    C. Sequence
    time limit per test
    1 second
    memory limit per test
    64 megabytes
    input
    standard input
    output
    standard output

    Little Petya likes to play very much. And most of all he likes to play the following game:

    He is given a sequence of N integer numbers. At each step it is allowed to increase the value of any number by 1 or to decrease it by 1. The goal of the game is to make the sequence non-decreasing with the smallest number of steps. Petya is not good at math, so he asks for your help.

    The sequence a is called non-decreasing if a1 ≤ a2 ≤ ... ≤ aN holds, where N is the length of the sequence.

    Input

    The first line of the input contains single integer N (1 ≤ N ≤ 5000) — the length of the initial sequence. The following N lines contain one integer each — elements of the sequence. These numbers do not exceed 109 by absolute value.

    Output

    Output one integer — minimum number of steps required to achieve the goal.

    Sample test(s)
    input
    5
    3 2 -1 2 11
    output
    4
    input
    5
    2 1 1 1 1
    output
    1

     f[i][j]=f[i][j-1],f[i-1][j]+a[i]-b[j];

    #include<iostream>
    #include<cstdio>
    #include<algorithm>
    using namespace std;
    #define LL long long
    LL n,a[5010],b[5010],f[5010];
    int main()
    {
          scanf("%d",&n);
          for(int i=0;i<n;i++)
                scanf("%I64d",&a[i]);
          for(int i=0;i<n;i++)
                b[i]=a[i];
          sort(b,b+n);
          for(int i=0;i<n;i++)
          {
                for(int j=0;j<n;j++)
                {
                      f[j]+=abs(a[i]-b[j]);
                      if(j>0)
                            f[j]=min(f[j],f[j-1]);
                }
          }
          printf("%I64d
    ",f[n-1]);
          return 0;
    }
    

      

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  • 原文地址:https://www.cnblogs.com/a972290869/p/4222751.html
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