Score : 600 points
You are given an integer sequence A of length N and an integer K. You will perform the following operation on this sequence Q times:
Let X and Y be the values of the largest and smallest element removed in the Q operations. You would like X-Y to be as small as possible. Find the smallest possible value of X-Y when the Q operations are performed optimally.
Input is given from Standard Input in the following format:
N K Q A_1 A_2 ... A_N
Print the smallest possible value of X-Y.
5 3 2 4 3 1 5 2
1
In the first operation, whichever contiguous subsequence of length 3 we choose, the minimum element in it is 1. Thus, the first operation removes A_3=1 and now we have A=(4,3,5,2). In the second operation, it is optimal to choose (A_2,A_3,A_4)=(3,5,2) as the contiguous subsequence of length 3 and remove A_4=2. In this case, the largest element removed is 2, and the smallest is 1, so their difference is 2-1=1.
10 1 6 1 1 2 3 5 8 13 21 34 55
7
11 7 5 24979445 861648772 623690081 433933447 476190629 262703497 211047202 971407775 628894325 731963982 822804784
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