HDU6024 Building Shops
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Building Shops
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 131072/131072 K (Java/Others)Total Submission(s): 13 Accepted Submission(s): 7
Problem Description
HDU’s n classrooms are on a line ,which can be considered as a number line. Each classroom has a coordinate. Now Little Q wants to build several candy shops in these n classrooms.
The total cost consists of two parts. Building a candy shop at classroomi would have some cost ci . For every classroom P without any candy shop, then the distance between P and the rightmost classroom with a candy shop on P 's left side would be included in the cost too. Obviously, if there is a classroom without any candy shop, there must be a candy shop on its left side.
Now Little Q wants to know how to build the candy shops with the minimal cost. Please write a program to help him.
The total cost consists of two parts. Building a candy shop at classroom
Now Little Q wants to know how to build the candy shops with the minimal cost. Please write a program to help him.
Input
The input contains several test cases, no more than 10 test cases.
In each test case, the first line contains an integern(1≤n≤3000) , denoting the number of the classrooms.
In the followingn lines, each line contains two integers xi,ci(−109≤xi,ci≤109) , denoting the coordinate of the i -th classroom and the cost of building a candy shop in it.
There are no two classrooms having same coordinate.
In each test case, the first line contains an integer
In the following
There are no two classrooms having same coordinate.
Output
For each test case, print a single line containing an integer, denoting the minimal cost.
Sample Input
31 22 33 441 73 15 106 1
Sample Output
511
Source
2017中国大学生程序设计竞赛 - 女生专场
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题意:给出n个地点的位置坐标xi和花费ci,对于每一个位置可以选择在花费ci建店或者花费左边离他最近的已建的位置的距离差,求最小花费
解题思路:dp,第一个点必建, dp[i][0]表示在该点不建,第一个点到第i个点的最小花费和,dp[i][1]表示该点建,第一个点到第i个点的最小花费和
#include <iostream>#include <cstdio>#include <cstring>#include <string>#include <algorithm>#include <cmath>#include <map>#include <cmath>#include <set>#include <stack>#include <queue>#include <vector>#include <bitset>#include <functional>using namespace std;#define LL long longconst int INF=0x3f3f3f3f;int n;struct node{ LL x,c;} p[10004];LL dp[10004][2];bool cmp(node a,node b){ return a.x<b.x;}int main(){ while(~scanf("%d",&n)) { memset(dp,INF,sizeof dp); memset(p,0,sizeof p); for(int i=0; i<n; i++) scanf("%lld%lld",&p[i].x,&p[i].c); sort(p,p+n,cmp); dp[0][1]=p[0].c; for(int i=1; i<n; i++) { dp[i][1]=min(dp[i-1][0],dp[i-1][1])+p[i].c; LL dis=0; for(int j=i-1; j>=0; j--) { dis+=(p[j+1].x-p[j].x)*(i-j); dp[i][0]=min(dp[i][0],dp[j][1]+dis); } } printf("%lld\n",min(dp[n-1][0],dp[n-1][1])); } return 0;}
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