01
02
03
04
05
06
07
08
09
10
11
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
49
50
51
52
53
54
55
56
57
58
59
60
61
62
63
64
65
66
67
68
69
70
71
72
73
74
75
76
77
78
79
80
package algs11;
import stdlib.*;

public class MyFibonacci {
  /*
  Assignment1:

  -----------------------------------------------------------------------
  1.1.16 Give the value of exR1(6):

    public static String exR1(int n)
    {
       if (n <= 0) return "";
       return exR1(n-3) + n + exR1(n-2) + n;
    }

  ANSWER:

  -----------------------------------------------------------------------
  1.1.18 Consider the following recursive function:

    public static int mystery(int a, int b)
    {
       if (b == 0)     return 0;
       if (b % 2 == 0) return mystery(a+a, b/2);
       return mystery(a+a, b/2) + a;
    }

  What are the values of mystery(2, 25) and mystery(3, 11)?

  ANSWER:

  Given positive integers a and b,describe what value mystery(a, b) computes.

  ANSWER:

  Answer the same question, but replace + with * and replace return 0 with return 1.

  ANSWER:

  -----------------------------------------------------------------------
  1.1.19 Run the function runF, below, on your computer.  Let it run for one hour.
  You will get the printout for the first few values of N very quickly, but it
  will slow down after a while.  What is the largest value of N that is printed
  after one hour?

  ANSWER:

  Develop a better implementation of F(N) that saves computed values in an array of type "long[]".

  ANSWER THIS PROBLEM BY COMPLETING THE FUNCTION myF, BELOW.

   */

  public static long F(int N) {
    if (N == 0) return 0;
    if (N == 1) return 1;
    return F(N-1) + F(N-2);
  }
  public static void runF() {
    for (int N = 0; N < 100; N++)
      StdOut.println(N + " " + F(N));
  }

  public static long myF(int N) {
    // TODO
    return 0;
  }
  public static void runMyF() {
    for (int N = 0; N < 100; N++)
      StdOut.println(N + " " + myF(N));
  }

  // to run a single function, just comment out the others using two slashes
  public static void main(String[] args) {
    runF ();
    // runMyF ();
  }
}