fib(100) en récursif naïf : supérieur à âge univers 😱
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YouTubeMaths Academy
fib(100) en récursif naïf : supérieur à âge univers 😱
Au Bac NSI, écrire Fibonacci en récursif naïf = catastrophe en complexité. fib(40) prend 30 s. fib(100) ne se termine jamais. Avec la mémoïsation, on passe à O(n). Décortiqué en 63s. Au programme : La faute (O(2ⁿ)) : def fib(n): if n inférieur 2: return n return fib(n-1) + fib(n-2) → fib(30) = 0.3s · fib(40) = 30s · fib(50) = 1h ...
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