FARMER - Farmer
A farmer has a set of fields, each of which is surrounded by cypress trees. Also, the farmer
has a set of strips of land, each of which has a row of cypress trees. In both fields and strips,
between every two consecutive cypress trees is a single olive tree. All of the farmer’s
cypress trees either surround a field or are in a strip and all of the farmer’s olive trees are
between two consecutive cypress trees in a field or in a strip.
One day the farmer became very ill and he felt that he was going to die. A few days before he passed away he called his eldest son and told him, “I give you any Q cypress trees of your choice and all the olive trees which are between any two consecutive cypress trees you have chosen.” >From each field and from each strip the son can pick any combination of cypress trees. Since the eldest son loves olives he wants to pick the Q cypress trees which will allow him to inherit as many olive trees as possible.
In Figure 1, assume that the son is given Q=17 cypress trees. To maximize his olive
inheritance he should choose all the cypress trees in Field 1 and Field 2, inheriting 17 olive
You are to write a program which, given the information about the fields and the strips and the number of cypress trees the son can pick, determines the largest possible number of olive trees the son may inherit.
t - the number of test cases [t <= 20], then t test cses follows.
The first line of each test case contains first the integer Q: the number of cypress trees the son is to select;
then the integer M, the number of fields; and then the
integer K, the number of strips. The second line contains M integers N1, N2,… NM, : the
numbers of cypress trees in fields. The third line contains K integers R1, R2,… RK: the
numbers of cypress trees in strips.
In all test cases, 0 <= Q <= 150000, 0 <= M <= 2000, 0 <= K <= 2000, 3 <= N1 <= 150, 3 <= N2 <= 150,… 3 <= NM <=150, 2 <= R1 <= 150, 2 <= R2 <= 150,… 2 <= RK <= 150. The total number of cypress trees in the fields and strips is at least Q. Additionally, in 50% of the test cases, Q <= 1500.
For each test case output ont integer: largest possible number of olive trees the son may inherit.
Input: 1 17 3 3 13 4 8 4 8 6
Nice Problem, You can use "https://www.geeksforgeeks.org/subset-sum-problem-dp-25/" this link for reference.
Nice Problem :) Don't think too much
bài này không Toolkit được !
bạn cho mình hỏi theo mình 2 test đó phải ra 30 vs 35 chứ sao lại 31 vs 36
bạn cho mình hỏi tại sao 2 test đó theo mình ra 30 vs 35 mới phải chứ tại sao lại ra 31 36
Useful Test Cases :