2022-01-20 14:06:42 +00:00
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import fractions
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2022-01-22 05:23:09 +00:00
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import typing
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2022-01-22 05:21:09 +00:00
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MAX_CAPACITY: int = 300
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def ratio(
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grade_in: int, grade_out: int, across_categories: bool
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2022-01-22 05:23:09 +00:00
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) -> typing.Optional[fractions.Fraction]:
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2022-01-22 05:21:09 +00:00
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trading_up = grade_out > grade_in
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grade_base = 6 if trading_up else 3
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grade_ratio = fractions.Fraction(grade_base ** grade_out, grade_base ** grade_in)
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category_ratio = (
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fractions.Fraction(6, 1) if across_categories else fractions.Fraction(1, 1)
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)
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result = grade_ratio * category_ratio
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if max(result.numerator, result.denominator) > MAX_CAPACITY:
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2022-01-22 05:23:09 +00:00
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return None
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2022-01-22 05:21:09 +00:00
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else:
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2022-01-22 05:23:09 +00:00
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return result
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