MSTICK - Wooden Sticks
Đọc đề đẹp hơn ở: https://codeforces.com/group/FLVn1Sc504/contest/274509/problem/P
English | Vietnamese |
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 ) .
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. 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
Output
The output should contain the minimum setup time in minutes, one per line. SAMPLE OUTPUT 2 1 3
hide comments
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csdeshpande19:
2021-03-24 17:59:03
Solve MDOLLS first, then this question |
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soranaimanas:
2020-08-24 08:18:50
Learn About Dilworth's Theorm. It'll help.
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iknowme:
2020-08-12 14:27:52
Think about sorting and binary search. |
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harshitagra935:
2020-05-22 06:13:06
can we change the order of processing
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Added by: | ~!(*(@*!@^& |
Date: | 2009-02-23 |
Time limit: | 1s |
Source limit: | 50000B |
Memory limit: | 1536MB |
Cluster: | Cube (Intel G860) |
Languages: | All except: ERL JS-RHINO NODEJS PERL6 VB.NET |
Resource: | Taejon 2002 |