Let's define the transformation P of a sequence of integers a1,a2,...,an as b1,b2,...,bn, where bi=a1|a2|...|ai for all i=1,2,...,n, where | is the bitwise OR operation.
Vasya consequently applies the transformation P to all sequences of length n consisting of integers from 1 to 2k-1 inclusive. He wants to know how many of these sequences have such property that their transformation is a strictly increasing sequence. Help him to calculate this number modulo 109+7.
Input
The only line of the input contains two integers n and k (1≤n≤1018,1≤k≤30000).
Output
Print a single integer− the answer to the problem modulo 109+7.