#Precedence Constrained 3 - processor scheduling



    # Check precedence constraints

    # Check task count per time slot



    # Generate all possible schedules

    # Check if each schedule satisfies the constraints



# Example usage
    # Example instance

    # Solve the "Precedence Constrained 3-Processor Scheduling" problem

    # Print the result


if __name__ == '__main__':
    import itertools
    def is_valid_schedule(tasks, precedence, schedule, deadline):
        for task1, task2 in precedence:
            if schedule[task1] >= schedule[task2]:
                return False
        for time in range(deadline):
            count = sum(1 for task in tasks if schedule[task] == time)
            if count > 3:
                return False
        return True
    def precedence_constrained_3_processor_scheduling(tasks, precedence, deadline):
        schedules = list(itertools.permutations(range(deadline), len(tasks)))
        for schedule in schedules:
            if is_valid_schedule(tasks, precedence, schedule, deadline):
                return True
        return False
    if __name__ == '__main__':
        tasks = {1, 2, 3, 4}
        precedence = [(1, 2), (3, 4)]
        deadline = 6
        result = precedence_constrained_3_processor_scheduling(tasks, precedence, deadline)
        if result:
            print("Tasks can be scheduled on 3 processors satisfying the constraints")
        else:
            print("Tasks cannot be scheduled on 3 processors satisfying the constraints")
