# This Python file uses the following encoding: utf-8
# The Fibonacci sequence is defined by the recurrence relation:
# Fn = Fn−1 + Fn−2, where F1 = 1 and F2 = 1.
# Hence the first 12 terms will be:
# F1 = 1
# F2 = 1
# F3 = 2
# F4 = 3
# F5 = 5
# F6 = 8
# F7 = 13
# F8 = 21
# F9 = 34
# F10 = 55
# F11 = 89
# F12 = 144
# The 12th term, F12, is the first term to contain three digits.
# What is the first term in the Fibonacci sequence to contain 1000 digits?
import time
start = time.time()
i = 1
j = 1
result = 1
count = 2
while j:
i, j = j, i + j
count += 1
if len(str(j)) == 1000:
result = j
break
print "%sth Fibonacci sequence number contains 1000 digits was found in %s seconds" % (count, time.time() - start)