HDU 1051 Wooden Sticks (贪心入门)
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Wooden Sticks
Time Limit:1000MS Memory Limit:10000KB 64bit IO Format:%I64d & %I64uDescription
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 ( 9 , 4 ) , ( 2 , 5 ) , ( 1 , 2 ) , ( 5 , 3 ) , and ( 4 , 1 ) , then the minimum setup time should be 2 minutes since there is a sequence of pairs ( 4 , 1 ) , ( 5 , 3 ) , ( 9 , 4 ) , ( 1 , 2 ) , ( 2 , 5 ) .
(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 ( 9 , 4 ) , ( 2 , 5 ) , ( 1 , 2 ) , ( 5 , 3 ) , and ( 4 , 1 ) , then the minimum setup time should be 2 minutes since there is a sequence of pairs ( 4 , 1 ) , ( 5 , 3 ) , ( 9 , 4 ) , ( 1 , 2 ) , ( 2 , 5 ) .
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 2n 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
分析:长度不同按长度从小到大排,长度相同,按重量从小到大排。
AC代码:
#include<stdio.h>#include<algorithm>#include<string.h>using namespace std;struct sgm{ int l,w;} a[5005];bool cmp(sgm A,sgm B){ if(A.l!=B.l) return A.l<B.l;//按长度排 else return A.w<B.w;//按重量排}int main(){ int n,i,j,m; scanf("%d",&n); while(n--) { scanf("%d",&m); for(i=0; i<m; i++) scanf("%d%d",&a[i].l,&a[i].w); sort(a,a+m,cmp); int book[5005]={0}; int x,s=0; for(i=0; i<m; i++) { if(book[i]==0) { x=a[i].w; for(j=i+1; j<m; j++) { if(a[j].w>=x&&book[j]==0) { x=a[j].w; book[j]=1; } } s++; } } printf("%d\n",s); } return 0;}
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