Section mcq’s choice Choice Choice 1,2 Choice 1,3,5

# Create a set to track completed steps
completed = set()

# Iterate over each step in 'steps'
for step in steps:
# Check if all dependencies of the current step are already completed
if all(dep in completed for dep in dependencies.get(step, [])):
completed.add(step)
else:
# If any dependency is not completed, return False
return False

# Return True if all steps in 'steps' are valid
return completed == steps

# Example usage
dependencies = {1: [2, 3], 2: [3], 3: []}
print(valid_steps({2, 3}, dependencies)) # True
print(valid_steps({1, 2, 3}, dependencies)) # True
print(valid_steps({3}, dependencies)) # True
print(valid_steps({1, 3}, dependencies)) # False

Explanation of your solution

Answer
The valid_steps function checks if a given set of steps can be validly completed given a set of dependencies. It does this by iterating over each step in the input set steps. For each step, the function checks if all its dependencies (if any) have already been completed. If they have, the step is added to a set of completed steps. If any dependency is not met, the function immediately returns False, indicating an invalid sequence. After checking all steps, the function returns True if the set of completed steps exactly matches the input set steps, ensuring that all steps are valid and that no extraneous steps were completed. This ensures that the sequence of steps is not only possible but also exactly matches the provided steps set.