Total Complexity | 4 |
Total Lines | 49 |
Duplicated Lines | 0 % |
Changes | 0 |
1 | """ |
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2 | Project Euler Problem 2: Even Fibonacci Numbers |
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3 | =============================================== |
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4 | |||
5 | .. module:: solutions.problem2 |
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6 | :synopsis: My solution to problem #2. |
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7 | |||
8 | The source code for this problem can be |
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9 | `found here <https://bitbucket.org/nekedome/project-euler/src/master/solutions/problem2.py>`_. |
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10 | |||
11 | Problem Statement |
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12 | ################# |
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13 | |||
14 | Each new term in the Fibonacci sequence is generated by adding the previous two terms. By starting with :math:`1` and |
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15 | :math:`2`, the first :math:`10` terms will be: |
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16 | :math:`1, 2, 3, 5, 8, 13, 21, 34, 55, 89, \\dots` |
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17 | |||
18 | By considering the terms in the Fibonacci sequence whose values do not exceed four million, find the sum of the |
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19 | even-valued terms. |
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20 | |||
21 | Solution Discussion |
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22 | ################### |
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23 | |||
24 | Simply iterate over the Fibonacci numbers up to four million and sum all the even ones. |
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25 | |||
26 | Solution Implementation |
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27 | ####################### |
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28 | |||
29 | .. literalinclude:: ../../solutions/problem2.py |
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30 | :language: python |
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31 | :lines: 34- |
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32 | """ |
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33 | |||
34 | from itertools import takewhile |
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35 | |||
36 | from lib.numbertheory import is_even |
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37 | from lib.sequence import Fibonaccis |
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38 | |||
39 | |||
40 | def solve(): |
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41 | """ Compute the answer to Project Euler's problem #2 """ |
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42 | upper_bound = 4000000 |
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43 | numbers = [fib_i for fib_i in takewhile(lambda x: x <= upper_bound, Fibonaccis()) if is_even(fib_i)] |
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44 | answer = sum(numbers) |
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45 | return answer |
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46 | |||
47 | |||
48 | expected_answer = 4613732 |
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49 |
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