zoukankan      html  css  js  c++  java
  • D

    The multiplication puzzle is played with a row of cards, each containing a single positive integer. During the move player takes one card out of the row and scores the number of points equal to the product of the number on the card taken and the numbers on the cards on the left and on the right of it. It is not allowed to take out the first and the last card in the row. After the final move, only two cards are left in the row. 

    The goal is to take cards in such order as to minimize the total number of scored points. 

    For example, if cards in the row contain numbers 10 1 50 20 5, player might take a card with 1, then 20 and 50, scoring 

    10*1*50 + 50*20*5 + 10*50*5 = 500+5000+2500 = 8000


    If he would take the cards in the opposite order, i.e. 50, then 20, then 1, the score would be 

    1*50*20 + 1*20*5 + 10*1*5 = 1000+100+50 = 1150.

    Input

    The first line of the input contains the number of cards N (3 <= N <= 100). The second line contains N integers in the range from 1 to 100, separated by spaces.

    Output

    Output must contain a single integer - the minimal score.

    Sample Input

    6
    10 1 50 50 20 5
    

    Sample Output

    3650

    区间dp

    对于每个区间其内部 的 去掉顺序 对于 下一步 没有 影响

    而对于每个更长的序列 都是有更短一些的区间序列 推得

    因此 我们很容易的推出了状态转移方程

    #include<cstdio>
    #include<iostream>
    #include<cstring>
    using namespace std;
    int dp[105][105];
    int  a[105];
    int main()
    {
        int n;
        while(~scanf("%d",&n))
        {
            memset(dp,0x3f,sizeof(dp));
            for(int i=1; i<=n; i++)
                scanf("%d",&a[i]);
            for(int i=1; i<n; i++)
                dp[i][i+1]=0;
            //dp[j][k]
            for(int i=2; i<n; i++) //i: lenth of a[i]
            {
                for(int j=1; i+j<=n; j++) // j: begin of a[i];
                {
                    int k=i+j;// k : end of a[i]
                    for(int l=j+1;l<k;l++)//for each l  cal
                    {
                        dp[j][k]=min(dp[j][k],dp[j][l]+dp[l][k]+a[l]*a[j]*a[k]);
                    }
                }
            }
            printf("%d
    ",dp[1][n]);
        }
    }
  • 相关阅读:
    yocto添加层简介
    ARM Linux 3.x的设备树(Device Tree)
    Linux device tree 简要笔记
    git 分支( branch ) 的基本使用
    Git 常用命令速查表(三)
    Git 常用命令详解(二)
    CentOS Linux安装python3
    R语言统计学习-1简介
    cnblog中添加数学公式支持
    我们数学中常用的自然常数e代表什么?看完长知识了!
  • 原文地址:https://www.cnblogs.com/caowenbo/p/11852271.html
Copyright © 2011-2022 走看看