Created
February 7, 2013 03:05
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Memoized fibonacci sequence in python
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""" | |
Each new term in the Fibonacci sequence is generated by adding the previous two | |
terms. By starting with 1 and 2, the first 10 terms will be: | |
1, 2, 3, 5, 8, 13, 21, 34, 55, 89, ... | |
By considering the terms in the Fibonacci sequence whose values do not | |
exceed four million, find the sum of the even-valued term | |
""" | |
memory = { | |
0: 0, | |
1: 1, | |
} | |
def fib(n): | |
if n not in memory: | |
memory[n] = fib(n - 1) + fib(n - 2) | |
return memory[n] | |
# fib(38) > 4*10^6 | |
# we start at 2 so we get the same pattern... | |
print( | |
sum( | |
[ | |
y for y in | |
[fib(x) for x in range(2, 38)] | |
if not y % 2 and y < 4000000 | |
] | |
) | |
) |
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