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34 lines
686 B
Python
34 lines
686 B
Python
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def actual_power(a: int, b: int):
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"""
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Function using divide and conquer to calculate a^b.
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It only works for integer a,b.
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"""
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if b == 0:
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return 1
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if (b % 2) == 0:
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return actual_power(a, int(b / 2)) * actual_power(a, int(b / 2))
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else:
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return a * actual_power(a, int(b / 2)) * actual_power(a, int(b / 2))
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def power(a: int, b: int) -> float:
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"""
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>>> power(4,6)
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4096
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>>> power(2,3)
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8
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>>> power(-2,3)
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-8
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>>> power(2,-3)
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0.125
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>>> power(-2,-3)
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-0.125
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"""
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if b < 0:
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return 1 / actual_power(a, b)
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return actual_power(a, b)
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if __name__ == "__main__":
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print(power(-2, -3))
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