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def get_user_input():
"""Gets the LP problem details from the user."""
# (Identical to the input function in the previous Dual Simplex example)
print("Enter the Linear Programming Problem:")
while True:
obj_type = input("Is it a 'max' or 'min' problem? ").strip().lower()
if obj_type in ['max', 'min']:
break
print("Invalid input. Please enter 'max' or 'min'.")
c_str = input("Enter objective function coefficients (space-separated): ").strip()
c = list(map(float, c_str.split()))
num_vars = len(c)
A = []
relations = []
b = []
i = 1
print(f"Enter constraints (one per line). There are {num_vars} variables (x1, x2,...).")
print("Format: coeff1 coeff2 ... relation rhs (e.g., '3 1 >= 3')")
print("Type 'done' when finished.")
while True:
line = input(f"Constraint {i}: ").strip()
if line.lower() == 'done':
if i == 1:
print("Error: At least one constraint is required.")
continue
break
parts = line.split()
if len(parts) != num_vars + 2:
print(f"Error: Expected {num_vars} coefficients, 1 relation, and 1 RHS value.")
continue
try:
coeffs = list(map(float, parts[:num_vars]))
relation = parts[num_vars]
rhs = float(parts[num_vars + 1])
if relation not in ['<=', '>=', '=']:
print("Error: Invalid relation symbol. Use '<=', '>=', or '='.")
continue
A.append(coeffs)
relations.append(relation)
b.append(rhs)
i += 1
except ValueError:
print("Error: Invalid number format for coefficients or RHS.")
continue
return obj_type, c, A, relations, b
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