A pie chart is a circular graphical representation of a dataset, where each category frequency is represented by a slice (or circular sector) with an amplitude in degrees given by the single frequency percentage over the total of frequencies. You can obtain the degrees of sectors following these steps:

• Calculate frequencies total.
• Calculate percentage of every category frequency dividing it by the frequencies total.
• Transform every percentage in degrees multiplying it for 360.

You are given a hash data with keys being the data categories (represented by letters) and values being the data frequencies. Implement a function that returns a map to design a pie chart, like to say the same hash with values transformed in degrees instead of frequencies. Round final values to the nearest tenth.

Examples

pie_chart({ "a" => 1, "b" => 2 }) ➞ { "a" => 120, "b" => 240 }

pie_chart({ "a" => 30, "b" => 15, "c" => 55 }) ➞ { "a" => 108, "b" => 54, "c" => 198 }

pie_chart({ "a" => 8, "b" => 21, "c" => 12, "d" => 5, "e" => 4 }) ➞ { "a" => 57.6, "b" => 151.2, "c" => 86.4, "d" => 36, "e" => 28.8 }

Notes

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