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您能否提供这个 karatsuba 算法的时间复杂度,该算法在 2 个 n 位长的数字上运行:

function karatsuba(num1, num2)

      if (num1 < 10) or (num2 < 10)
        return num1*num2

      /* calculates the size of the numbers */
      m = max(size_base10(num1), size_base10(num2))
      m2 = m/2

      /* split the digit sequences about the middle */
      high1, low1 = split_at(num1, m2)
      high2, low2 = split_at(num2, m2)

      /* 3 calls made to numbers approximately half the size */
      z0 = karatsuba(low1,low2)
      z1 = karatsuba((low1+high1),(low2+high2))
      z2 = karatsuba(high1,high2)

      return (z2*10^(2*m2))+((z1-z2-z0)*10^(m2))+(z0)
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