Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)
Total Submission(s): 15183 Accepted Submission(s): 6232
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
Source Asia 2001, Taejon (South Korea)
輸入一堆資料,兩個一對,前一對的兩個值小于下面的一對時,算是一種情況,統計總共有多少對
#include<iostream>
#include<stdio.h>
#include<string.h>
#include<math.h>
#include<ctype.h>
#include<stdlib.h>
#include<string>
#include<algorithm>
#include<vector>
#include<set>
#include<map>
#include<list>
#include<queue>
#include<stack>
#include<iomanip>
#include<numeric>
#include <istream> //基本輸入流
#include <ostream> //基本輸出流
#include <sstream> //基于字元串的流
#include <utility> //STL 通用模闆類
#include <complex.h> //複數處理
#include <fenv.h> //浮點環境
#include <inttypes.h> //整數格式轉換
#include <stdbool.h> //布爾環境
#include <stdint.h> //整型環境
#include <tgmath.h> //通用類型數學宏
#define L(a,b,c) for(int a = b;a >= c;a --)
#define M(a,b,c) for(int a = b;a < c;a ++)
#define N(a,b) memset(a,b,sizeof(a));
const int MAX=100000000;
const int MIN=-MAX;
typedef int T;
typedef double D;
typedef char C;
using namespace std;
struct data
{
int x,y;
bool t; ///标記有沒有參加比較
} a[100010];
int comp(data x,data y)
{
if(x.y == y.y)
return x.x < y.x;
else
return x.y < y.y;
}
int n;
int main()
{
int t;
scanf("%d",&t);
while(t--)
{
scanf("%d",&n);
M(i,0,n)
{
scanf("%d%d",&a[i].x,&a[i].y);
a[i].t=0;
}
sort(a,a+n,comp);
int sum=0;
M(i,0,n) ///貪心思想
{
if(!a[i].t)
{
++sum;
int start=a[i].x;
int end=a[i].y;
M(j,i+1,n)
if(! a[j].t)
if(a[j].x >= start&&a[j].y >= end)
{
a[j].t=1;
start=a[j].x;
end=a[j].y;
}
}
}
cout<<sum<<endl;
}
return 0;
}