


"""simple docstring"""

from __future__ import annotations

from math import pi

# Define the Reduced Planck Constant ℏ (H bar), speed of light C, value of
# Pi and the function
UpperCAmelCase__					=1.0_54_57_18_17e-34  # unit of ℏ : J * s

UpperCAmelCase__					=3e8  # unit of c : m * s^-1


def lowerCAmelCase_   (					UpperCamelCase__						:			float					, UpperCamelCase__						:			float					, UpperCamelCase__						:			float			):






 """simple docstring"""







 if (force, area, distance).count(0			) != 1:
  raise ValueError("""One and only one argument must be 0"""			)
 if force < 0:
  raise ValueError("""Magnitude of force can not be negative"""			)
 if distance < 0:
  raise ValueError("""Distance can not be negative"""			)
 if area < 0:
  raise ValueError("""Area can not be negative"""			)
 if force == 0:
  __lowercase						=						(REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2 * area) / (
      240 * (distance) ** 4
  )
  return {"force": force}
 elif area == 0:
  __lowercase						=						(240 * force * (distance) ** 4) / (
      REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2
  )
  return {"area": area}
 elif distance == 0:
  __lowercase						=						(
      (REDUCED_PLANCK_CONSTANT * SPEED_OF_LIGHT * pi**2 * area) / (240 * force)
  ) ** (1 / 4)
  return {"distance": distance}
 raise ValueError("""One and only one argument must be 0"""			)


# Run doctest
if __name__ == "__main__":
       import doctest

       doctest.testmod()




"""simple docstring"""

def lowerCAmelCase_   (					UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			Union[str, Any]					, UpperCamelCase__						:			int			):






 """simple docstring"""







 if n == 0:
  return 1

 elif n % 2 == 1:
  return (binary_exponentiation(UpperCamelCase__					, n - 1					, UpperCamelCase__			) * a) % mod

 else:
  __lowercase						=						binary_exponentiation(UpperCamelCase__					, n / 2					, UpperCamelCase__			)
  return (b * b) % mod


# a prime number
UpperCAmelCase__					=701

UpperCAmelCase__					=10_0000_0000
UpperCAmelCase__					=10

# using binary exponentiation function, O(log(p)):
print((a / b) % p == (a * binary_exponentiation(b, p - 2, p)) % p)

print((a / b) % p == (a * b ** (p - 2)) % p)
