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#!/usr/bin/env python3
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# this shows the fibonacci sequence with basic recursion.
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# note that it gets very slow at the end due to the recursion
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def fibonacci(n):
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if n == 1:
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return 1
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elif n == 2:
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return 1
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elif n > 2:
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return fibonacci(n-1) + fibonacci(n-2)
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for n in range(1, 101):
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print(n, ":", fibonacci(n))
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#!/usr/bin/env python3
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# this introduces recursive fibonacci with a cache of recent function calls
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# this is introducing memoization: caching recent function call results
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fibonacci_cache = {}
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def fibonacci(n):
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# If we have cached the value, then return it
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if n in fibonacci_cache:
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return fibonacci_cache[n]
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# compute nth term
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if n == 1:
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value = 1
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elif n == 2:
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value = 1
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elif n > 2:
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value = fibonacci(n-1) + fibonacci(n-2)
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fibonacci_cache[n] = value
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return value
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for n in range(1, 101):
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print(n, ":", fibonacci(n))
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