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
题目大意:题意是加工木材,如果后一个长度和重量都大于等于前一个,那么就不需要调器,否则需要重新调机器,时间要加一分钟,输出需要的最少时间。
思路:就是先按长度或者重量从小到大排序,然后再按另一种进行找需要调机器的最少次数。
代码如下:
#include<stdio.h>
#include<algorithm>
using namespace std;
struct note
{
int l,w;
} e[10100];
bool cmp(note x,note y)
{
if(x.l==y.l)
return x.w<y.w; //当长度相同时按重量排序,不写这个会出错
else
return x.l<y.l;
}
int main()
{
int n;
scanf("%d",&n);
while(n--)
{
int m;
scanf("%d",&m);
int i,j;
for(i=0; i<m; i++)
scanf("%d%d",&e[i].l,&e[i].w);
sort(e,e+m,cmp); //用sort按长度排序
int book[10100]={0},sum=0;
for(i=0; i<m; i++)
{
if(book[i]) continue; //如果已经用过了跳过
int maxx=e[i].w;
for(j=i+1; j<m; j++) //找后面比前一个重量大的,
//因为长度已经排好序了可以不用管。
{
if(!book[j]&&maxx<=e[j].w)
{
book[j]=1;
maxx=e[j].w; //将找到的最新的重量赋给maxx
}
}
sum++;
}
printf("%d\n",sum);
}
return 0;
}