Wooden Sticks HDU 1051
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Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 21440 Accepted Submission(s): 8652
Problem Description
There is a pile of n wooden sticks. The length and weight of each stick are known in advance. The sticks are to be processed by a woodworking machine in one by one fashion. It needs some time, called setup time, for the machine to prepare processing a stick. The setup times are associated with cleaning operations and changing tools and shapes in the machine. The setup times of the woodworking machine are given as follows:
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
(a) The setup time for the first wooden stick is 1 minute.
(b) Right after processing a stick of length l and weight w , the machine will need no setup time for a stick of length l' and weight w' if l<=l' and w<=w'. Otherwise, it will need 1 minute for setup.
You are to find the minimum setup time to process a given pile of n wooden sticks. For example, if you have five sticks whose pairs of length and weight are (4,9), (5,2), (2,1), (3,5), and (1,4), then the minimum setup time should be 2 minutes since there is a sequence of pairs (1,4), (3,5), (4,9), (2,1), (5,2).
Input
The input consists of T test cases. The number of test cases (T) is given in the first line of the input file. Each test case consists of two lines: The first line has an integer n , 1<=n<=5000, that represents the number of wooden sticks in the test case, and the second line contains n 2 positive integers l1, w1, l2, w2, ..., ln, wn, each of magnitude at most 10000 , where li and wi are the length and weight of the i th wooden stick, respectively. The 2n integers are delimited by one or more spaces.
Output
The output should contain the minimum setup time in minutes, one per line.
Sample Input
3 5 4 9 5 2 2 1 3 5 1 4 3 2 2 1 1 2 2 3 1 3 2 2 3
Sample Output
213
Source
Asia 2001, Taejon (South Korea)
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题目大意+解析:
有许多木头,木头有两个属性,重量和高度,有若干机器,机器有启动时间,启动时间为1minute,有个规则是机器切割木头,如果第二根木头比第一根木头的宽高都大的话,机器没有启动时间,请问机器最小启动时间是多少。简单的贪心,排列木头的顺序,使的机器在一次切割时可以尽可能多的切割木头,减少启动时间;思路get没,接下来就是代码。
#include<iostream>using namespace std;struct Strick{double width;double length;}temp;int main(){int n,m,count,k;cin>>n;int i,j;for(i=0;i<n;i++){cin>>m;int flag;count=0;Strick *ps=new Strick[m];for(j=0;j<m;j++)cin>>ps[j].length>>ps[j].width;for(k=0;k<m-1;k++)for(j=0;j<m-1-k;j++)if(ps[j].length>ps[j+1].length){temp=ps[j];ps[j]=ps[j+1];ps[j+1]=temp;}for(int x=0;x<m;x++){if(ps[x].width) {k=ps[x].width;for(j=0;j<m;j++) if(k<=ps[j].width) { k=ps[j].width; ps[j].width=0; flag=1; }if(flag)count++;}}cout<<count<<endl;delete[] ps;ps=NULL;}return 0;}
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