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ee25134927
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ee25134927 | ||
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@ -1,4 +1,4 @@
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def actual_power(a: int, b: int):
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def actual_power(a: int, b: int) -> int:
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"""
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"""
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Function using divide and conquer to calculate a^b.
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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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It only works for integer a,b.
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@ -19,10 +19,12 @@ def actual_power(a: int, b: int):
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"""
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"""
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if b == 0:
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if b == 0:
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return 1
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return 1
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half = actual_power(a, b // 2)
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if (b % 2) == 0:
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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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return half * half
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else:
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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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return a * half * half
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def power(a: int, b: int) -> float:
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def power(a: int, b: int) -> float:
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@ -43,9 +45,9 @@ def power(a: int, b: int) -> float:
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-0.125
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-0.125
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"""
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"""
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if b < 0:
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if b < 0:
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return 1 / actual_power(a, b)
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return 1 / actual_power(a, -b)
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return actual_power(a, b)
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return actual_power(a, b)
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if __name__ == "__main__":
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if __name__ == "__main__":
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print(power(-2, -3))
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print(power(-2, -3)) # output -0.125
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