import itertools

class TreeOfThought:
    """
    A class to implement the Tree of Thought approach for complex problem-solving.
    """

    def __init__(self, problem_input):
        """
        Initialize with the specific problem input.
        """
        self.problem_input = problem_input
        self.tree = {}  # To store the thoughts as nodes in a tree

    def generate_thoughts(self, current_state):
        """
        Generate multiple potential thoughts based on the current state.
        Placeholder for thought generation logic.
        """
        # TODO: Implement thought generation based on the problem type
        pass

    def evaluate_thoughts(self, thoughts):
        """
        Evaluate the promise or viability of each thought.
        Placeholder for thought evaluation logic.
        """
        # TODO: Implement thought evaluation based on specific criteria
        pass

    def search_algorithm(self, root):
        """
        Implement the search algorithm (e.g., BFS, DFS).
        Placeholder for search algorithm logic.
        """
        # TODO: Choose and implement the appropriate search algorithm
        pass

    def solve_problem(self):
        """
        Main method to solve the problem using the Tree of Thought approach.
        """
        initial_thoughts = self.generate_thoughts(self.problem_input)
        evaluated_thoughts = self.evaluate_thoughts(initial_thoughts)
        solution_path = self.search_algorithm(evaluated_thoughts)
        return solution_path

# Example usage
problem_input = "Define your problem input here"
tree_of_thought = TreeOfThought(problem_input)
solution = tree_of_thought.solve_problem()
print("Solution Path:", solution)