B. "Or" Gametime limit per test2 secondsmemory limit per test256 megabytesinputstandard inputoutputstandard outputYou are given n numbers a1, a2, ..., an. You can perform at most k operations. For each operation you can multiply one of the numbers by x. We want to make  as large as possible, where  denotes the bitwise OR. Find the maximum possible value of  after performing at most k operations optimally.InputThe first line contains three integers n, k and x (1 ≤ n ≤ 200 000, 1 ≤ k ≤ 10, 2 ≤ x ≤ 8).The second line contains n integers a1, a2, ..., an (0 ≤ ai ≤ 109).OutputOutput the maximum value of a bitwise OR of sequence elements after performing operations.ExamplesInput3 1 21 1 1Output3Input4 2 31 2 4 8Output79NoteFor the first sample, any possible choice of doing one operation will result the same three numbers 1, 1, 2 so the result is . For the second sample if we multiply 8 by 3 two times we'll get 72. In this case the numbers will become 1, 2, 4, 72 so the OR value will be 79 and is the largest possible result.
Input3 1 21 1 1
Output3
['brute force', 'greedy', '*1700']