Wooden Sticks
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
题目链接:
http://acm.hdu.edu.cn/showproblem.php?pid=1051
题意描述:
给你n组区间,存在包含关系的区间为相同区间,问共有多少组不同的区间。
解题思路:
先把这些区间存到结构体中,然后对区间的首端进行从小到大排序,然后再在这n个区间中从前往后遍历,只要这个区间未被遍历过,并且该区间的尾端大于与之比较的区间的尾端(记得更新区间,每比较一次区间,该区间就要被更新,也就是程序中的q),那么就证明这两个区间属于相同区间。
程序代码:
#include<stdio.h>
#include<string.h>
#include<algorithm>
using namespace std;
struct data{
int a;
int b;
}s[5010];
int book[5010];
int cmp(data x,data y);
int main()
{
int T,n,i,j,sum,q;
scanf("%d",&T);
while(T--)
{
scanf("%d",&n);
sum=n;
for(i=0;i<n;i++)
scanf("%d%d",&s[i].a,&s[i].b);
sort(s,s+n,cmp);
memset(book,0,sizeof(book));
for(i=0;i<n-1;i++)
{
q=s[i].b;
if(book[i]==0)
for(j=i+1;j<n;j++)
{
if(book[j]==0&&s[j].b>=q)
{
q=s[j].b;
book[j]=1;
sum--;
}
}
}
printf("%d\n",sum);
}
return 0;
}
int cmp(data x,data y)
{
if(x.a!=y.a)
return x.a<y.a;
return x.b<y.b;
}