Some sequences of bits (3) P59506

Write a program that prints the number of sequences made up of exactly z zeros and u ones that are multiple of three when considered as a binary number. Note that numbers that begin with one or more zeros are allowed here.

For instance, there are 9 sequences for z = 2 and u = 4:

Input

Input consists of several pairs of natural numbers z and u, each between 0 and 30.

Output

For every pair of z and u, print the required number.