--description--

The Fibonacci sequence is defined by the recurrence relation:

$F_n = F_{n − 1} + F_{n − 2}$, where $F_1 = 1$ and $F_2 = 1$

It turns out that $F_{541}$, 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 $F_{2749}$, which contains 575 digits, is the first Fibonacci number for which the first nine digits are 1 - 9 pandigital.

Given that $F_k$ is the first Fibonacci number for which the first nine digits AND the last nine digits are 1 - 9 pandigital, find k.

--hints--

pandigitalFibonacciEnds() should return 329468.

assert.strictEqual(pandigitalFibonacciEnds(), 329468);

--seed--

--seed-contents--

function pandigitalFibonacciEnds() {

  return true;
}

pandigitalFibonacciEnds();

--solutions--

// solution required