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" <small><i>This notebook was prepared by [Donne Martin](http://donnemartin.com). Source and license info is on [GitHub](https://github.com/donnemartin/interactive-coding-challenges).</i></small> "
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" # Challenge Notebook "
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" ## Problem: Implement fibonacci recursively, dynamically, and iteratively. \n " ,
" \n " ,
" * [Constraints](#Constraints) \n " ,
" * [Test Cases](#Test-Cases) \n " ,
" * [Algorithm](#Algorithm) \n " ,
" * [Code](#Code) \n " ,
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" * [Unit Test](#Unit-Test) \n " ,
" * [Solution Notebook](#Solution-Notebook) "
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]
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" ## Constraints \n " ,
" \n " ,
" * None "
]
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" ## Test Cases \n " ,
" \n " ,
" * n = 0 -> 0 \n " ,
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" * n = 1 -> 1 \n " ,
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" * n > 1 -> 0, 1, 1, 2, 3, 5, 8, 13, 21, 34... "
]
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" ## Algorithm \n " ,
" \n " ,
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" Refer to the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/fibonacci/fibonacci_solution.ipynb). If you are stuck and need a hint, the solution notebook ' s algorithm discussion might be a good place to start. "
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" ## Code "
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" def fib_recursive(n): \n " ,
" # TODO: Implement me \n " ,
" pass "
]
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" num_items = 10 \n " ,
" cache = [None] * (num_items + 1) \n " ,
" \n " ,
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" \n " ,
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" def fib_dynamic(n): \n " ,
" # TODO: Implement me \n " ,
" pass "
]
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" def fib_iterative(n): \n " ,
" # TODO: Implement me \n " ,
" pass "
]
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" ## Unit Test \n " ,
" \n " ,
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" \n " ,
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" \n " ,
" **The following unit test is expected to fail until you solve the challenge.** "
]
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" # %lo ad test_fibonacci.py \n " ,
" from nose.tools import assert_equal \n " ,
" \n " ,
" \n " ,
" class TestFib(object): \n " ,
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" \n " ,
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" def test_fib(self, func): \n " ,
" result = [] \n " ,
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" for i in range(num_items): \n " ,
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" result.append(func(i)) \n " ,
" fib_seq = [0, 1, 1, 2, 3, 5, 8, 13, 21, 34] \n " ,
" assert_equal(result, fib_seq) \n " ,
" print( ' Success: test_fib ' ) \n " ,
" \n " ,
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" \n " ,
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" def main(): \n " ,
" test = TestFib() \n " ,
" test.test_fib(fib_recursive) \n " ,
" test.test_fib(fib_dynamic) \n " ,
" test.test_fib(fib_iterative) \n " ,
" \n " ,
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" \n " ,
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" if __name__ == ' __main__ ' : \n " ,
" main() "
]
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" metadata " : { } ,
" source " : [
" ## Solution Notebook \n " ,
" \n " ,
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" Review the [Solution Notebook](http://nbviewer.ipython.org/github/donnemartin/interactive-coding-challenges/blob/master/recursion_dynamic/fibonacci/fibonacci_solution.ipynb) for a discussion on algorithms and code solutions. "
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]
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