Problem A: Modular Fibonacci

The Fibonacci numbers (0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...) are defined by the recurrence:

F₀ = 0
F₁ = 1
F_i = F_i-1 + F_i-2 for i>1

Write a program which calculates M_n = F_n mod 2^m for given pair of n and m. 0£ n£ 2147483647 and 0£ m< 20. Note that a mod b gives the remainder when a is divided by b.

Input and Output

Input consists of several lines specifying a pair of n and m. Output should be corresponding M_n, one per line.

Sample Input

11 7
11 6

Sample Output

89
25