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```# Define logic gates
def and_gate(a, b):
return a and b

def or_gate(a, b):
return a or b

def not_gate(a):
return not a

def nand_gate(a, b):
return not and_gate(a, b)

def nor_gate(a, b):
return not or_gate(a, b)

def eor_gate(a, b):
return a != b

def enor_gate(a, b):
return not eor_gate(a, b)

# Prompt user for input
gate = input("Enter the boolean logic gate (using symbols for and, or, not, nand, nor, eor, and enor): ")

# Simplify the gate using boolean algebra
simplified_gate = gate
while True:
old_gate = simplified_gate
simplified_gate = simplified_gate.replace("not not ", "")  # Double negation
simplified_gate = simplified_gate.replace("not True", "False")  # Not True is False
simplified_gate = simplified_gate.replace("not False", "True")  # Not False is True
simplified_gate = simplified_gate.replace("True and ", "")  # True and x is x
simplified_gate = simplified_gate.replace(" and True", "")  # x and True is x
simplified_gate = simplified_gate.replace("False and ", "False")  # False and x is False
simplified_gate = simplified_gate.replace(" and False", "False")  # x and False is False
simplified_gate = simplified_gate.replace("True or ", "True")  # True or x is True
simplified_gate = simplified_gate.replace(" or True", "True")  # x or True is True
simplified_gate = simplified_gate.replace("False or ", "")  # False or x is x
simplified_gate = simplified_gate.replace(" or False", "")  # x or False is x
simplified_gate = simplified_gate.replace("True eor True", "False")  # True eor True is False
simplified_gate = simplified_gate.replace("False eor False", "False")  # False eor False is False
simplified_gate = simplified_gate.replace("True eor False", "True")  # True eor False is True
simplified_gate = simplified_gate.replace("False eor True", "True")  # False eor True is True
simplified_gate = simplified_gate.replace("True enor True", "True")  # True enor True is True
simplified_gate = simplified_gate.replace("False enor False", "True")  # False enor False is True
simplified_gate = simplified_gate.replace("True enor False", "False")  # True enor False is False
simplified_gate = simplified_gate.replace("False enor True", "False")  # False enor True is False
if simplified_gate == old_gate:
break

# Output the simplified gate
print("Simplified gate: ", simplified_gate)
```