# -*- coding:utf-8 -*-
#
#        Author : TangHanYi
#        E-mail : thydeyx@163.com
#   Create Date : 2016-12-11 09:33:17 AM
# Last modified : 2016-12-11 10:48:50 AM
#     File Name : Super_Pow.py
#          Desc :


class Solution(object):
	def superPow(self, a, b):
		if len(b) == 0:
			return a
		tmp = a
		ret = 1
		n = len(b)
		k = 0
		while k != n - 1:
			if b[-1] % 2 == 1:
				ret = (ret * tmp) % 1337
			tmp = (tmp * tmp) % 1337
			pre = 0
			for i in range(k, n):
				pre_b = (pre * 10 + b[i]) % 2
				b[i] = (pre * 10 + b[i]) / 2
				pre = pre_b
				if k == i and b[i] == 0:
					k += 1
		return ret


if __name__ == "__main__":
	s = Solution()
	a = 434576
	b = [6,4,0,4,4,0,3,9,4,9,9,6,2,0,2,5,4,2,1,7,9,2,5,9,5,2,5,6,2,9,2,4,4,4,8,0,7,4,9,1,3,9,9,7,1,1,2,7,5,5,4,5,7,1,4,4,4,9,1,8,0,5,4,6,2,3,7,9,9,6,0,2,7,1,0,0,3,4,7,8,2,4,3,9,5,9,6,1,8,9,0,9,6,4,5,8,9,4,7,8,1,9,1,0,3,3,1,6,9,8,6,1,4,0,3,0,1,9,1,0,0,1,1,6,8,8,5,7,3,4,6,6,6,9,6,9,2,9,7,3,0,3,7,4,5,0,4,7,1,8,7,1,1,0,9,9,0,4,9,5,1,5,3,7,4,0,8,8,1,5,1,1,8,8,6,4,0,2,1,3,0,0,4,4,2,6,5,2,0,4,0,1,9,3,0,5,5,8,5,7,5,7,0,4,7,6,0,8,1,1,1,3,3,8,7,5,4,3,9,6,7,9,0,9,5,0,6,0,1,2,9,6,1,0,2,8,8,2,6,9,5,0,3,8,8,0,3,4,5,5,0,5,6,0,6,1,3,2,4,4,6,3,2,7,5,5,8,4,9,6,3,5,6,8,3,6,9,9,0,6,4,1,1,2,3,7,4,6,2,0,0,0,5,5,0,1,0,8,7,9,4,2,6,3,1,0,9,2,1,2,8,7,5,0,9,8,9,5,5,1,5,7,4,3,2,4,6,4,2,3,6,8,5,4,1,8,4,1,0,7,3,9,4,8,1,4,8,0,1,5,4,9,3,8,2,7,2,8,4,6,1,2,4,8,6,8,9,3,1,9,0,6,8,5,6,1,1,4,2,2,0,8,1,5,6,5,2,0,3,8,8,6,2,4,7,9,2,6,4,3,5,4,1,6,1,7,7,2,2,1,7,4,9,0,9,7,6,3,9,1,2,7,8,4,2,7,5,6,3,9,2,0,6,3,8,7,1,8,2,5,9,9,9,1,9,8,8,7,1,8,9,5,7,9,2,9,6,7,8,1,9,0,3,5,3,4,4,4,2,6,9,3,5,8,4,7,8,5,4,2,5,5,7,2,6,9,4,4,9,2,5,0,2,1,7,5,5,1,2,9,8,3,2,5,4,9,4,2,4,9,4,9,6,4,3,3,5,7,7,6,9,5,8,3,8,5,1,3,9,3,2,7,8,6,4,2,5,9,7,9,0,3,0,6,9,4,1,5,3,1,1,3,6,0,6,4,7,9,9,6,2,3,5,3,9,0,7,7,1,4,6,1,0,9,9,9,5,1,6,8,2,8,1,0,0,0,6,9,9,5,6,4,0,1,9,9,3,6,8,4,3,7,5,3,6,7,4,1,0,1,9,4,1,3,4,1,5,0,2,6,7,8,0,9,2,1,0,7,8,9,2,1,6,9,6,2,6,0,5,8,1,6,2,2,9,6,5,6,8,8,3,7,8,5,6,0,7,7,8,5,6,2,8,2,1,4,6,0,4,1,8,6,7,1,8,9,9,4,5,0,4,8,9,2,6,6,5,3,5,5,8,3,7,6,7,0,0,3,2,4,6,3,2,5,6,1,4,5,7,2,7,1,2,7,3,8,3,8,1,0,5,1,3,2,9,0,5,1,3,7,8,1,0,0,6,6,3,3,4,0,7,1,3,9,0,7,8,5,7,1,5,3,3,8,7,4,0,2,6,5,2,4,6,2,4,5,1,8,8,7,0,5,0,4,6,1,3,4,6,0,8,2,5,3,2,5,7,3,7,5,8,1,9,7,6,6,2,7,6,0,6,6,7,6,2,3,7,5,0,6,8,8,0,5,3,2,0,0,7,0,8,8,1,7,5,7,5,7,6,1,7,4,0,4,1,2,9,0,8,9,6,6,9,6,1,2,1,4,5,8,4,3,6,7,2,3,5,8,0,3,9,7,8,9,3,1,2,5,1,2,4,0,8,6,8,1,8,9,5,5,0,1,0,8,9,3,2,6,1,4,9,2,2,9,4,7,0,8,2,4,0,9,6,0,7,4,3,5,6,1,3,8,2,3,8,1,6,2,7,9,7,9,4,1,0,0,0,1,8,3,7,0,4,3,2,1,9,5,8,7,6,1,5,1,7,6,2,5,8,2,7,5,1,1,8,3,1,9,4,1,4,3,1,0,8,5,1,0,0,1,7,9,5,5,0,2,1,2,9,1,6,6,9,9,9,7,3,0,6,9,3,0,3,6,0,3,1,3,3,2,7]

	print s.superPow(a, b)
