Optional 2: Dangerous Laser

We've been developing this ant for a long time in secret. It's so dangerous that we had to lock it in the super hidden CS61A underground vault, but we finally think it is ready to go out on the field. In this problem, you'll be implementing the final ant -- LaserAnt, a ThrowerAnt with a twist.

Note: There are no unlocking tests for this question.

	Class	Food Cost	Health
	Laser	10	1

The LaserAnt shoots out a powerful laser, damaging all that dare to stand in its path. Both Bees and Ants, of all types, are at risk of being damaged by LaserAnt. When a LaserAnt takes its action, it will damage all Insects in its place (excluding itself, but including its container if it has one) and the Places in front of it, excluding the Hive.

If that were it, LaserAnt would be too powerful for us to contain. The LaserAnt has a base damage of 2. But, LaserAnt's laser comes with some quirks. The laser is weakened by 0.25 each place it travels away from LaserAnt's place. Additionally, LaserAnt has limited battery. Each time LaserAnt actually damages an Insect its laser's total damage goes down by 0.0625 (1/16). If LaserAnt's damage becomes negative due to these restrictions, it simply does 0 damage instead.

The exact order in which things are damaged within a turn is unspecified.

In order to complete the implementation of this ultimate ant, read through the LaserAnt class, set the class attributes appropriately, and implement the following two functions:

1. insects_in_front is an instance method, called by the action method, that returns a dictionary where each key is an Insect and each corresponding value is the distance (in places) that that Insect is away from LaserAnt. The dictionary should include all Insects on the same place or in front of the LaserAnt, excluding LaserAnt itself.
2. calculate_damage is an instance method that takes in distance, the distance that an insect is away from the LaserAnt instance. It returns the damage that the LaserAnt instance should afflict based on:
3. The distance away from the LaserAnt instance that an Insect is.
4. The number of Insects that this LaserAnt has damaged, stored in the insects_shot instance attribute.

In addition to implementing the methods above, you may need to modify, add, or use class or instance attributes in the LaserAnt class as needed.

Before

There are no locked test for this problem.

After

You can run the provided test, but it is not exhaustive:

python ok -q optional2

Make sure to test your code!