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 an object 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 object with values transformed in degrees instead of frequencies. Round final values to the nearest tenth.

Examples

pieChart({ a: 1, b: 2 }) ➞ { a: 120, b: 240 }

pieChart({ a: 30, b: 15, c: 55 }) ➞ { a: 108, b: 54, c: 198 }

pieChart({ 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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