CSC300 / CSC402: Recursive Fibonacci (Terrible Version) [16/18] |
01 |
public static long f (long N) { if (N <= 1) { return N; } else { long result = f(N-1) + f(N-2); numOps = numOps + 1; return result; } } |
Output
Elapsed count f( 8): 33: 8.250 [ 0.000 : NaN] Elapsed count f( 16): 1,596: 48.364 [ 0.000 : NaN] Elapsed count f( 32): 3,524,577: 2208.382 [ 0.011 : Infinity] Elapsed count f( 64) aborted execution after a thousand hours or so Elapsed count f( 128) aborted execution after a thousand hours or so Elapsed count f( 256) aborted execution after a thousand hours or so Elapsed count f( 512) aborted execution after a thousand hours or so Elapsed count f( 1,024) aborted execution after a thousand hours or so Elapsed count f( 2,048) aborted execution after a thousand hours or so Elapsed count f( 4,096) aborted execution after a thousand hours or so Elapsed count f( 8,192) aborted execution after a thousand hours or so
This is exponential: approximately 2^N
More accurately:
(1.6)^N
, where 1.6 = (1+sqrt(5))/2