In a sequence of numbers a1, a2, a3, ... the first term is given, and the other terms are calculated using the formula:

ai = (ai-1 * ai-1) mod 10000

Find the n-th term of the sequence.

Input

The first row contains the numbers a1 and n (0 ≤ a1 ≤ 10000, 1 ≤ n ≤ 2000000010).

Output

Print the value of an.