The McCarthy 91 function is a recursive function, defined by the computer scientist John McCarthy as a test case for formal verification within computer science.
The McCarthy 91 function is defined for integer n as:
Remarkably, the function yields 
for all 
(hence, the function name).
for all (hence, the function name).A more generalized form of the McCarthy's recursive function is defined below:
For positive integers a, b, c, k, and n.
The expression 
, means applying the function G, k number of times:
, means applying the function G, k number of times:
This means that the 'original' McCarthy-91 function 
is actually 
, with 
, 
, 
and 
.
is actually , with , , and .Given integers, a, b, c, k, and n, evaluate the value of .
.--------------------
NOTE: The McCarthy-91 function was created to test recursive function implementations. In this problem, while iterative loops are allowed, use of recursion is encouraged.
Solution Stats
Solution Comments
Show comments
Loading...
Problem Recent Solvers3
Suggested Problems
-
Sum of first n terms of a harmonic progression
517 Solvers
-
1188 Solvers
-
Matrix which contains the values of an other matrix A at the given locations.
240 Solvers
-
Celsius to Fahrenheit converter
672 Solvers
-
Matlab Basics II - Extract last 3 elements of a vector
263 Solvers
More from this Author116
Problem Tags
Community Treasure Hunt
Find the treasures in MATLAB Central and discover how the community can help you!
Start Hunting!
