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fibonacci_numbers_output.txt
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--------------------------------
Start Of Program
--------------------------------
WARNING: the recursive function execution time increases exponentially as the value of N increases.
The value which was entered for N is 10.
N := 10.
--------------------------------
Computing the Nth term of the Fibonacci Sequence using recursion:
fibonacci(10) = fibonacci(8) + fibonacci(9). // recursive case (C = 1)
fibonacci(8) = fibonacci(6) + fibonacci(7). // recursive case (C = 2)
fibonacci(6) = fibonacci(4) + fibonacci(5). // recursive case (C = 3)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 4)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 5)
fibonacci(0) = 1. // base case (C = 6)
fibonacci(1) = 1. // base case (C = 7)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 8)
fibonacci(1) = 1. // base case (C = 9)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 10)
fibonacci(0) = 1. // base case (C = 11)
fibonacci(1) = 1. // base case (C = 12)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 13)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 14)
fibonacci(1) = 1. // base case (C = 15)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 16)
fibonacci(0) = 1. // base case (C = 17)
fibonacci(1) = 1. // base case (C = 18)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 19)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 20)
fibonacci(0) = 1. // base case (C = 21)
fibonacci(1) = 1. // base case (C = 22)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 23)
fibonacci(1) = 1. // base case (C = 24)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 25)
fibonacci(0) = 1. // base case (C = 26)
fibonacci(1) = 1. // base case (C = 27)
fibonacci(7) = fibonacci(5) + fibonacci(6). // recursive case (C = 28)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 29)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 30)
fibonacci(1) = 1. // base case (C = 31)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 32)
fibonacci(0) = 1. // base case (C = 33)
fibonacci(1) = 1. // base case (C = 34)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 35)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 36)
fibonacci(0) = 1. // base case (C = 37)
fibonacci(1) = 1. // base case (C = 38)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 39)
fibonacci(1) = 1. // base case (C = 40)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 41)
fibonacci(0) = 1. // base case (C = 42)
fibonacci(1) = 1. // base case (C = 43)
fibonacci(6) = fibonacci(4) + fibonacci(5). // recursive case (C = 44)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 45)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 46)
fibonacci(0) = 1. // base case (C = 47)
fibonacci(1) = 1. // base case (C = 48)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 49)
fibonacci(1) = 1. // base case (C = 50)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 51)
fibonacci(0) = 1. // base case (C = 52)
fibonacci(1) = 1. // base case (C = 53)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 54)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 55)
fibonacci(1) = 1. // base case (C = 56)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 57)
fibonacci(0) = 1. // base case (C = 58)
fibonacci(1) = 1. // base case (C = 59)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 60)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 61)
fibonacci(0) = 1. // base case (C = 62)
fibonacci(1) = 1. // base case (C = 63)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 64)
fibonacci(1) = 1. // base case (C = 65)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 66)
fibonacci(0) = 1. // base case (C = 67)
fibonacci(1) = 1. // base case (C = 68)
fibonacci(9) = fibonacci(7) + fibonacci(8). // recursive case (C = 69)
fibonacci(7) = fibonacci(5) + fibonacci(6). // recursive case (C = 70)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 71)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 72)
fibonacci(1) = 1. // base case (C = 73)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 74)
fibonacci(0) = 1. // base case (C = 75)
fibonacci(1) = 1. // base case (C = 76)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 77)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 78)
fibonacci(0) = 1. // base case (C = 79)
fibonacci(1) = 1. // base case (C = 80)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 81)
fibonacci(1) = 1. // base case (C = 82)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 83)
fibonacci(0) = 1. // base case (C = 84)
fibonacci(1) = 1. // base case (C = 85)
fibonacci(6) = fibonacci(4) + fibonacci(5). // recursive case (C = 86)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 87)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 88)
fibonacci(0) = 1. // base case (C = 89)
fibonacci(1) = 1. // base case (C = 90)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 91)
fibonacci(1) = 1. // base case (C = 92)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 93)
fibonacci(0) = 1. // base case (C = 94)
fibonacci(1) = 1. // base case (C = 95)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 96)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 97)
fibonacci(1) = 1. // base case (C = 98)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 99)
fibonacci(0) = 1. // base case (C = 100)
fibonacci(1) = 1. // base case (C = 101)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 102)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 103)
fibonacci(0) = 1. // base case (C = 104)
fibonacci(1) = 1. // base case (C = 105)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 106)
fibonacci(1) = 1. // base case (C = 107)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 108)
fibonacci(0) = 1. // base case (C = 109)
fibonacci(1) = 1. // base case (C = 110)
fibonacci(8) = fibonacci(6) + fibonacci(7). // recursive case (C = 111)
fibonacci(6) = fibonacci(4) + fibonacci(5). // recursive case (C = 112)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 113)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 114)
fibonacci(0) = 1. // base case (C = 115)
fibonacci(1) = 1. // base case (C = 116)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 117)
fibonacci(1) = 1. // base case (C = 118)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 119)
fibonacci(0) = 1. // base case (C = 120)
fibonacci(1) = 1. // base case (C = 121)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 122)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 123)
fibonacci(1) = 1. // base case (C = 124)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 125)
fibonacci(0) = 1. // base case (C = 126)
fibonacci(1) = 1. // base case (C = 127)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 128)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 129)
fibonacci(0) = 1. // base case (C = 130)
fibonacci(1) = 1. // base case (C = 131)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 132)
fibonacci(1) = 1. // base case (C = 133)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 134)
fibonacci(0) = 1. // base case (C = 135)
fibonacci(1) = 1. // base case (C = 136)
fibonacci(7) = fibonacci(5) + fibonacci(6). // recursive case (C = 137)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 138)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 139)
fibonacci(1) = 1. // base case (C = 140)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 141)
fibonacci(0) = 1. // base case (C = 142)
fibonacci(1) = 1. // base case (C = 143)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 144)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 145)
fibonacci(0) = 1. // base case (C = 146)
fibonacci(1) = 1. // base case (C = 147)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 148)
fibonacci(1) = 1. // base case (C = 149)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 150)
fibonacci(0) = 1. // base case (C = 151)
fibonacci(1) = 1. // base case (C = 152)
fibonacci(6) = fibonacci(4) + fibonacci(5). // recursive case (C = 153)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 154)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 155)
fibonacci(0) = 1. // base case (C = 156)
fibonacci(1) = 1. // base case (C = 157)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 158)
fibonacci(1) = 1. // base case (C = 159)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 160)
fibonacci(0) = 1. // base case (C = 161)
fibonacci(1) = 1. // base case (C = 162)
fibonacci(5) = fibonacci(3) + fibonacci(4). // recursive case (C = 163)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 164)
fibonacci(1) = 1. // base case (C = 165)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 166)
fibonacci(0) = 1. // base case (C = 167)
fibonacci(1) = 1. // base case (C = 168)
fibonacci(4) = fibonacci(2) + fibonacci(3). // recursive case (C = 169)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 170)
fibonacci(0) = 1. // base case (C = 171)
fibonacci(1) = 1. // base case (C = 172)
fibonacci(3) = fibonacci(1) + fibonacci(2). // recursive case (C = 173)
fibonacci(1) = 1. // base case (C = 174)
fibonacci(2) = fibonacci(0) + fibonacci(1). // recursive case (C = 175)
fibonacci(0) = 1. // base case (C = 176)
fibonacci(1) = 1. // base case (C = 177)
A = fibonacci(10) = 89.
The number of times which the recursive Fibonacci Sequence term function was called during this program runtime instance is 177.
--------------------------------
Computing the Nth term of the Fibonacci Sequence using iteration:
fibonacci(0) = 1. // i = 0
fibonacci(1) = 1. // i = 1
fibonacci(2) = 2 = fibonacci(0) + fibonacci(1) = 1 + 1. // i = 2
fibonacci(3) = 3 = fibonacci(1) + fibonacci(2) = 1 + 2. // i = 3
fibonacci(4) = 5 = fibonacci(2) + fibonacci(3) = 2 + 3. // i = 4
fibonacci(5) = 8 = fibonacci(3) + fibonacci(4) = 3 + 5. // i = 5
fibonacci(6) = 13 = fibonacci(4) + fibonacci(5) = 5 + 8. // i = 6
fibonacci(7) = 21 = fibonacci(5) + fibonacci(6) = 8 + 13. // i = 7
fibonacci(8) = 34 = fibonacci(6) + fibonacci(7) = 13 + 21. // i = 8
fibonacci(9) = 55 = fibonacci(7) + fibonacci(8) = 21 + 34. // i = 9
fibonacci(10) = 89 = fibonacci(8) + fibonacci(9) = 34 + 55. // i = 10
B = fibonacci(10) = 89.
--------------------------------
End Of Program
--------------------------------