HDU 1051 Wooden Sticks(贪心)
2018-01-28 13:04
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Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 23538 Accepted Submission(s): 9557
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
按长度从小到大排序,若长度相同,按重量从小到大排。 即求最少升序子序列
#include<iostream> #include<cstdio> #include<string.h> #include<algorithm> using namespace std; struct node { int start,end1; }g[5003]; bool cmp(node a,node b) { if(a.start!=b.start) return a.start<b.start; else return a.end1<b.end1; } int main() { int T;scanf("%d",&T); while(T--) { int n;scanf("%d",&n); int i,j; for(i=1;i<=n;i++) scanf("%d%d",&g[i].start,&g[i].end1); sort(g+1,g+n+1,cmp); bool vis[5003];memset(vis,0,sizeof(vis)); int ans=0; for(i=1;i<=n;i++) { if(!vis[i]) { vis[i]=1;int m=g[i].end1; ans++; for(j=i+1;j<=n;j++) if(!vis[j]&&g[j].end1>=m) { m=g[j].end1; vis[j]=1; } } } printf("%d\n",ans); } return 0; }
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