Wooden Sticks

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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

213
#include<iostream>#include<cstdio>#include<algorithm>#include<cstring>using namespace std;struct T{    int w,l;}a[5010];bool cmp(T a,T b){    if(a.l==b.l)  return a.w<b.w;    return a.l<b.l;}int main(){    int cas;   cin>>cas;    while(cas--)    {        int n;        cin>>n;        for(int i=1;i<=n;i++) cin>>a[i].l>>a[i].w;        sort(a,a+n+1,cmp);        bool vis[5010]={'0'};        int num=1;        int w,l;        int count=0,tt=0;        while(tt<n)        {            vis[num]=1;            tt++;            w=a[num].w;            l=a[num].l;            bool flag=false;            for(int i=num+1;i<=n;i++)            if(!vis[i]&&a[i].l>=l&&a[i].w>=w)            {                w=a[i].w;                l=a[i].l;                vis[i]=1;                tt++;            }            else if(!vis[i]&&!flag)            {                flag=true;                num=i;            }            count++;        }     cout<<count<<endl;    }    return 0;}



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