# Problem 104: Pandigital Fibonacci ends
The Fibonacci sequence is defined by the recurrence relation: Fn = Fn−1
+ Fn−2, where F1 = 1 and F2 = 1. It turns out that F541, which contains
113 digits, is the first Fibonacci number for which the last nine digits
are 1-9 pandigital (contain all the digits 1 to 9, but not necessarily
in order). And F2749, which contains 575 digits, is the first Fibonacci
number for which the first nine digits are 1-9 pandigital. Given that Fk
is the first Fibonacci number for which the first nine digits AND the
last nine digits are 1-9 pandigital, find k.