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p57.py
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p57.py
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# -*- coding: utf-8 -*-
"""
Created on Thu Mar 23 17:13:54 2017
@author: Refaia
"""
import time
def main() :
delta = time.time()
a, b = 3, 2
counter = 0
for i in range(1, 1001) :
a, b = a + 2 * b, a + b
if len(str(a)) > len(str(b)) :
counter += 1
delta = time.time() - delta
return counter, delta
print(main())
#s= 1 + 1 / (1 + s)
'''
def gcd(a, b) :
while b > 0 :
a, b = b, a % b
return a
def add(n1, d1, n2, d2):
assert (type(n1) == int and type(d1) == int and type(n2) == int and type(d2) == int)
d = gcd((d2 * n1) + (d1 * n2), d1 * d2)
return ((d2 * n1) + (d1 * n2)) // d, (d1 * d2) // d
def div(n1, d1, n2, d2) :
assert (type(n1) == int and type(d1) == int and type(n2) == int and type(d2) == int)
d = gcd(n1 * d2, d1 * n2)
return n1 * d2 // d , d1 * n2 // d
def main() :
delta = time.time()
upperBound = 1001
i = 1
L = [(1,1)]
sn, sd = 0, 0
counter = 0
while i < upperBound :
sn, sd = add(1, 1, L[i - 1][0], L[i - 1][1])
sn, sd = div(1, 1, sn, sd)
sn, sd = add(1, 1, sn, sd)
L.append((sn, sd))
if len(str(sn)) > len(str(sd)) :
counter += 1
i += 1
delta = time.time() - delta
return counter, delta
'''