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  1. # your code goes here
  2. """ base58 encoding / decoding functions """
  3. import unittest
  4.  
  5. alphabet = '123456789ABCDEFGHJKLMNPQRSTUVWXYZabcdefghijkmnopqrstuvwxyz'
  6. base_count = len(alphabet)
  7.  
  8. def encode(num):
  9. 	""" Returns num in a base58-encoded string """
  10. 	encode = ''
  11.  
  12. 	if (num < 0):
  13. 		return ''
  14.  
  15. 	while (num >= base_count):	
  16. 		mod = num % base_count
  17. 		encode = alphabet[mod] + encode
  18. 		num = num / base_count
  19.  
  20. 	if (num):
  21. 		encode = alphabet[num] + encode
  22.  
  23. 	return encode
  24.  
  25. def decode(s):
  26. 	""" Decodes the base58-encoded string s into an integer """
  27. 	decoded = 0
  28. 	multi = 1
  29. 	s = s[::-1]
  30. 	for char in s:
  31. 		decoded += multi * alphabet.index(char)
  32. 		multi = multi * base_count
  33.  
  34. 	return decoded
  35.  
  36. class Base58Tests(unittest.TestCase):
  37.  
  38.   def test_alphabet_length(self):
  39.     self.assertEqual(58, len(alphabet))
  40.  
  41.   def test_encode_10002343_returns_Tgmc(self):
  42.     result = encode(10002343)
  43.     self.assertEqual('Tgmc', result)
  44.  
  45.   def test_decode_Tgmc_returns_10002343(self):
  46.     decoded = decode('Tgmc')
  47.     self.assertEqual(10002343, decoded)
  48.  
  49.   def test_encode_1000_returns_if(self):
  50.     result = encode(1000)
  51.     self.assertEqual('if', result)
  52.  
  53.   def test_decode_if_returns_1000(self):
  54.     decoded = decode('if')
  55.     self.assertEqual(1000, decoded)
  56.  
  57.   def test_encode_zero_returns_empty_string(self):
  58.     self.assertEqual('', encode(0))
  59.  
  60.   def test_encode_negative_number_returns_empty_string(self):
  61.     self.assertEqual('', encode(-100))
  62.  
  63. if __name__ == '__main__':
  64.   #print encode(int("00B94BA6C51B3D8372D82FDE5DC78773D960B5A82FCDAC8181",16))
  65.   print hex(decode("Wh4bh"))
Success #stdin #stdout 0.02s 8116KB
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import sympy as sp

# Define symbols for variables
u, v, a, t, s = sp.symbols('u v a t s')

# Define the kinematic equations
eq1 = sp.Eq(v, u + a * t)  # Equation 1: v = u + at
eq2 = sp.Eq(s, u * t + 0.5 * a * t**2)  # Equation 2: s = ut + 1/2 * a * t^2
eq3 = sp.Eq(v**2, u**2 + 2 * a * s)  # Equation 3: v^2 = u^2 + 2as

def solve_kinematic_equation(problem, known_values):
    """
    Solves the kinematic equation based on given problem and known values.
    
    Args:
    problem: The problem type to solve (1, 2, or 3 for different equations).
    known_values: A dictionary of known values (e.g., {'u': 0, 'a': 9.8, 't': 5})
    
    Returns:
    solution: The value of the unknown variable
    """
    # Substitute known values into the equation
    for var, val in known_values.items():
        eq1 = eq1.subs(var, val)
        eq2 = eq2.subs(var, val)
        eq3 = eq3.subs(var, val)

    if problem == 1:
        # Solve for 'v' (final velocity) using eq1
        solution = sp.solve(eq1, v)
    elif problem == 2:
        # Solve for 's' (displacement) using eq2
        solution = sp.solve(eq2, s)
    elif problem == 3:
        # Solve for 'v' (final velocity) using eq3
        solution = sp.solve(eq3, v)
    else:
        return "Invalid problem type"
    
    return solution

# Example usage
known_values = {'u': 0, 'a': 9.8, 't': 5}  # Initial velocity, acceleration, and time
problem = 1  # We want to solve for final velocity (v)
solution = solve_kinematic_equation(problem, known_values)
print("Solution:", solution)
stdout
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0x1406e058
https://ideone.com/2uTnW1
language:
Python (cpython 2.7.16)
created:
10 days ago
visibility:
public

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