hdoj 1227 Fast Food 【dp】
2015-11-19 20:34
465 查看
Total Submission(s): 2521 Accepted Submission(s): 1071
[align=left]Problem Description[/align]
The fastfood chain McBurger owns several restaurants along a highway. Recently, they have decided to build several depots along the highway, each one located at a restaurant and supplying several of the restaurants with the needed
ingredients. Naturally, these depots should be placed so that the average distance between a restaurant and its assigned depot is minimized. You are to write a program that computes the optimal positions and assignments of the depots.
To make this more precise, the management of McBurger has issued the following specification: You will be given the positions of n restaurants along the highway as n integers d1 < d2 < ... < dn (these are the distances measured from the company's headquarter,
which happens to be at the same highway). Furthermore, a number k (k <= n) will be given, the number of depots to be built.
The k depots will be built at the locations of k different restaurants. Each restaurant will be assigned to the closest depot, from which it will then receive its supplies. To minimize shipping costs, the total distance sum, defined as
must be as small as possible.
Write a program that computes the positions of the k depots, such that the total distance sum is minimized.
[align=left]Input[/align]
The input file contains several descriptions of fastfood chains. Each description starts with a line containing the two integers n and k. n and k will satisfy 1 <= n <= 200, 1 <= k <= 30, k <= n. Following this will n lines containing
one integer each, giving the positions di of the restaurants, ordered increasingly.
The input file will end with a case starting with n = k = 0. This case should not be processed.
[align=left]Output[/align]
For each chain, first output the number of the chain. Then output a line containing the total distance sum.
Output a blank line after each test case.
[align=left]Sample Input[/align]
[align=left]Sample Output[/align]
[/code]
Fast Food
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 2521 Accepted Submission(s): 1071
[align=left]Problem Description[/align]
The fastfood chain McBurger owns several restaurants along a highway. Recently, they have decided to build several depots along the highway, each one located at a restaurant and supplying several of the restaurants with the needed
ingredients. Naturally, these depots should be placed so that the average distance between a restaurant and its assigned depot is minimized. You are to write a program that computes the optimal positions and assignments of the depots.
To make this more precise, the management of McBurger has issued the following specification: You will be given the positions of n restaurants along the highway as n integers d1 < d2 < ... < dn (these are the distances measured from the company's headquarter,
which happens to be at the same highway). Furthermore, a number k (k <= n) will be given, the number of depots to be built.
The k depots will be built at the locations of k different restaurants. Each restaurant will be assigned to the closest depot, from which it will then receive its supplies. To minimize shipping costs, the total distance sum, defined as
must be as small as possible.
Write a program that computes the positions of the k depots, such that the total distance sum is minimized.
[align=left]Input[/align]
The input file contains several descriptions of fastfood chains. Each description starts with a line containing the two integers n and k. n and k will satisfy 1 <= n <= 200, 1 <= k <= 30, k <= n. Following this will n lines containing
one integer each, giving the positions di of the restaurants, ordered increasingly.
The input file will end with a case starting with n = k = 0. This case should not be processed.
[align=left]Output[/align]
For each chain, first output the number of the chain. Then output a line containing the total distance sum.
Output a blank line after each test case.
[align=left]Sample Input[/align]
6 3 5 6 12 19 20 27 0 0
[align=left]Sample Output[/align]
Chain 1 Total distance sum = 8分析:给定n个餐厅的位置,求修k个仓库到这n个餐厅的距离最小。代码:[code]#include<cstdio> #include<cstring> #include<algorithm> #include<cstdlib> #include<queue> #include<stack> #include<vector> #define mem(x,y) memset(x,y,sizeof(x)) #define inf 0x3f3f3f3f #define N 220 using namespace std; int dis ,dp ,cost ; int main() { int n,m; int cnt=0; while(scanf("%d%d",&n,&m)!=EOF,(n||m)) { int i,j,k; mem(cost,0); mem(dp,inf); for(i=1;i<=n;i++) scanf("%d",&dis[i]); for(i=1;i<=n;i++) for(j=i;j<=n;j++) { for(k=i;k<=j;k++) cost[i][j]+=abs(dis[k]-dis[(i+j)/2]);//仓库肯定修在俩个餐厅之间,这就是求仓库到每个餐厅的距离。 } for(i=1;i<=n;i++)//寻找距离所有餐厅最短的三个仓库的总长度, dp[1][i]=cost[1][i]; for(i=2;i<=m;i++) for(j=i;j<=n;j++) for(k=i-1;k<=j-1;k++) dp[i][j]=min(dp[i][j],dp[i-1][k]+cost[k+1][j]);//判断哪个仓库到餐厅的距离短。 printf("Chain %d\nTotal distance sum = %d\n\n",++cnt,dp[m] ); } // system("pause"); return 0; }
[/code]
相关文章推荐
- Android线性布局权重Weight效果展示
- Nodejs Express 开发必备知识点
- 【iOS错误笔记】'CADbugPrintf.h'file not found
- 阻塞队列
- Linux kdb命令
- 二十道前端面试题
- find 与grep命令
- 字节流与字符流的区别详解
- Android项目-Widget
- Android进阶-点击事件的响应问题
- Learning ROS for Robotics Programming Second Edition学习笔记(三) indigo rplidar rviz slam
- Learning ROS for Robotics Programming Second Edition学习笔记(三) indigo rplidar rviz slam
- Learning ROS for Robotics Programming Second Edition学习笔记(三) indigo rplidar rviz slam
- Spring Controller全局变量引起的并发问题
- POJ---3352-Road Construction(双连通分量)
- Android进阶-各种Manager(一)
- leetcode 62:Unique Paths
- android.graphics.Paint方法setXfermode (Xfermode x
- WinForm 中 comboBox控件之数据绑定
- 002.ICMP--拼接ICMP包,实现简单Ping程序(原始套接字)