hdu 1051 Wooden Sticks
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Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 17650 Accepted Submission(s): 7229
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).
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 1
Sample Output
2
1
3
#include<stdio.h>#include<iostream>#include<string.h>#include<algorithm>using namespace std;const int maxn=5010;struct node{ int l,w; int flag;} a[maxn];bool cmp1(node x,node y){ if(x.l==y.l) return x.w<y.w; else return x.w<y.w;}bool cmp2(node x,node y){ if(x.w==y.w) return x.l<y.l; else return x.l<y.l;}int main(){ int t,i,j,n; cin>>t; while(t--) { cin>>n; for(i=0; i<n; i++) { scanf("%d%d",&a[i].l,&a[i].w); a[i].flag=0; } sort(a,a+n,cmp1); sort(a,a+n,cmp2); int sum=0; for(i=0; i<n; i++)//根据结构体的排序后的顺序,a[i].l依次递增,但是a[i].w {//不是的,因此我们可以根据a[i].w来找,这也运用了贪心的 if(a[i].flag==0)//思想a[i].w依次递增,依次更新,当遇到不递增此时的标记 { //依然为0,从新开始使用第一个木块 a[i].flag=1; sum++; int x=a[i].w; for(j=i+1; j<n; j++) { if(a[j].flag==0&&a[j].w>=x) { a[j].flag=1; x=a[j].w; } } } } printf("%d\n",sum); } return 0;}
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