Moving stuff to outer space is super expensive and takes a lot of energy, which is part of the reason why colonizing the moon or terraforming Mars is extremely hard. To move something heavy into space you need a rocket with enough fuel. But adding fuel makes the rocket even heavier... And if you wanted to visit Mars and come back, you would need enough fuel to leave both Earth and Mars.

We can actually calculate how much fuel a rocket needs using the rocket equation: $m_\mathrm{fuel} = M \left( e^{v/v_e} - 1\right)$ where $M$ is the mass of the rocket (with no fuel), $v_e$ is the exhaust velocity of the rocket, and $e = 2.71828\dots$ is Euler's number. $v$ is the velocity the rocket needs to escape, which is different for every planet. Try to submit some code with a function rocket_fuel(v) that returns $m_\mathrm{fuel}$ for Saturn V ($M = 250,000 \; \mathrm{kg}$, $v_e = 2,550 \; \mathrm{m/s}$) as a function of $v$.

Input: The velocity $v$ the rocket needs to reach to escape the planet in meters per second (m/s).

Output: The mass of fuel $m_\mathrm{fuel}$ needed by the rocket to escape the planet in kilograms (kg).

Write a function that accepts the input as function parameters and returns the correct output. Make sure to read the description above to produce the correct output in the correct format and use the correct function signature so we can run your code. A good first step is to try reproducing the example(s). Your code must not take longer than the maximum runtime to run and must not use more memory than the allowed limit.