HDU 1051 Wooden Sticks
2013-09-08 19:40
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[align=left]Problem Description[/align]
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).
[align=left]Input[/align]
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.
[align=left]Output[/align]
The output should contain the minimum setup time in minutes, one per line.
[align=left]Sample Input[/align]
[align=left]Sample Output[/align]
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).
[align=left]Input[/align]
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.
[align=left]Output[/align]
The output should contain the minimum setup time in minutes, one per line.
[align=left]Sample Input[/align]
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
[align=left]Sample Output[/align]
2 1 3
//Wooden Sticks 贪心 #include <iostream> #include<algorithm> using namespace std; typedef struct stick { int length; int weight; int flag; }St; St s[5003]; int cmp(const St &a,const St &b) { if(a.length!=b.length) return a.length<b.length; else a.weight<b.weight; } int main() { int t; int n; cin>>t; while(t--) { cin>>n; for(int i=0;i<n;i++) { cin>>s[i].length>>s[i].weight; s[i].flag=0; } sort(s,s+n,cmp); int count=0; for(int i=0;i<n;i++) { if(s[i].flag==1) continue; count++;int tmp=i; for(int j=i+1;j<n;j++) { if(!s[j].flag&&s[j].length>=s[tmp].length&&s[j].weight>=s[tmp].weight) { s[j].flag=1; tmp=j; } } } cout<<count<<endl; } return 0; }
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