Primitive Darts Game

Darts is a target game played by throwing feathered darts at a circular board with numbered spaces. Our darts game is the simplest of all games. The score of a single turn is calculated based on the distance from the middle. You need to create a function that takes the dart location as two cartesian coordinates (x, y) and returns a score based on the distance from the middle, aka Bullseye (x=0, y=0).

• Bullseye and inner circle scores = 10 points
• Middle ring scores = 5 points
• Outer ring scores = 1 point
• Outside the target = 0 points

We play it simple so a dart in the double or treble ring counts as usual and does not affect the segment score.

Board and circle radius is as follows:

• Board radius and outer circle radius = 10 units
• Middle circle radius = 5 units
• Inner circle radius = 1 unit

Short Description

Convert cartesian coordinates (x, y) to polar coordinates (R, phi) and return the score based on the R value. R > 10 gives 0 points, 10 >= R > 5 gives 1 point, 5 >= R > 1 gives 5 points, R <= 1 gives 10 points.

Examples

darts_scoring(0, 0) ➞ 10

darts_scoring(3, 2) ➞ 5

darts_scoring(0, -0.8) ➞ 10

Notes

• X, Y values can be both positive and negative.
• X, Y values can be int and float.
• No wrong type values will be given.