Numbers to their own power

You are given natural numbers $a$ and $b$ ($a \le b$). Find $a^a + (a + 1)^{a + 1} + \ldots + b^b$.

A single line with two integers $a$ and $b$ ($1 \le a \le b \le 15$).

A single integer — the sum.

This time the length of the inner loop depends on the outer loop variable: $i^i$ takes $i$ multiplications.

$15^{15} \approx 4.4 \cdot 10^{17}$ — you need / . In the first example: .