贪心 木棍问题
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Wooden Sticks
Time Limit: 2000/1000 MS (Java/Others) Memory Limit: 65536/32768 K (Java/Others)Total Submission(s): 10140 Accepted Submission(s): 4169
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).
(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
213
#include<stdio.h> #include<string.h> #include<algorithm> using namespace std; struct sa { int l; int w; }data[10000]; int cmp(sa a,sa b) { if(a.l!=b.l) return a.l<b.l; return a.w<b.w; } int z[10000]; int main() { int n; while(scanf("%d",&n)!=EOF) { for(int a=0;a<n;a++) { int t; scanf("%d",&t); for(int b=0;b<t;b++) { scanf("%d%d",&data[b].l,&data[b].w); } sort(data,data+t,cmp); memset(z,0,sizeof(z)); int x=0,y=0,i=0,j=0,time=0,k=0; while(k<t) { for(i=j;i<t;i++) if(z[i]==0) { z[i]=1; j=i+1; x=data[i].l; y=data[i].w; k++; break; } for(i=j;i<t;i++) { if(z[i]==0&&x<=data[i].l&&y<=data[i].w) { z[i]=1; x=data[i].l; y=data[i].w; k++; } } time++; } printf("%d\n",time); } } }
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