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def fib(n): | |
I = [[1, 1], [1, 0]] | |
if (n == 0): return 0 | |
power(I, n - 1) | |
return I[0][0] | |
def multiply(I, A): | |
x = (I[0][0] * A[0][0] + I[0][1] * A[1][0]) | |
y = (I[0][0] * A[0][1] + I[0][1] * A[1][1]) | |
z = (I[1][0] * A[0][0] + I[1][1] * A[1][0]) | |
w = (I[1][0] * A[0][1] + I[1][1] * A[1][1]) | |
I[0][0], I[0][1], I[1][0], I[1][1] = x, y, z, w | |
def power(I, n): | |
if (n == 0 or n == 1): | |
return | |
A = [[1, 1], [1, 0]] | |
power(I, n // 2) | |
multiply(I, I) | |
if (n % 2 != 0): | |
multiply(I, A) |
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