e-olymp
Problems

Sequence

Sequence

In a sequence of numbers a1, a2, a3, ... given the first term, and the rest 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 (0a110000, 1n2000000010).

Output

Print a single number an.

Time limit 1 second
Memory limit 128 MiB
Input example #1
4 3
Output example #1
256
Input example #2
0 2000000000
Output example #2
0