C - Wooden Sticks
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).
(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这一题是学姐给的思路。就是先按照长度排序,然后再用flag记录是否访问过。#include<iostream> #include<algorithm> using namespace std; typedef struct dot{ int l,w; bool flag; }dot; bool cmp(dot a,dot b) { if(a.l!=a.l)return a.w<a.w; else return a.l<b.l; } int main() { int T,n; cin>>T; while(T--) { cin>>n; dot a[10000]; for(int i=0;i!=n;i++){ cin>>a[i].l>>a[i].w; a[i].flag=0; } sort(a,a+n,cmp); int sum=0; for(int i=0;i!=n;i++){ if(a[i].flag==0){ sum++; a[i].flag=1; int k=i; for(int j=k;j!=n;j++){ if(!a[j].flag&&a[k].w<=a[j].w){k=j;a[j].flag=1;} } } } cout<<sum<<endl; } return 0; }
贪心练得不好。。。。