Problems
Ackermann Function
Ackermann Function
As is known, Ackermann function plays an important role in the sphere of theoretical computer science. However, in the other hand, the dramatic fast increasing pace of the function caused the value of Ackermann function hard to calcuate.
Ackermann function can be defined recursively as follows:
Given m and n, your task is to compute the value of A(m, n).
Input data
Each line has two integers m and n, where 0 ≤ m ≤ 3. Note that when m < 3, n can be any integer less than 10^6
, while m = 3, the value of n is restricted within 24.
Output data
For each value of m and n print the value of A(m, n).
Examples
Input example #1
1 3 2 4
Output example #1
5 11