def design_excel_sum_formula_brute_force(cell_with_formula, referenced_cells):
    # Simulate different states of referenced cells by creating combinations
    number_of_referenced_cells = len(referenced_cells)
    possible_combinations = []
    if number_of_referenced_cells > 0:
        possible_combinations = [ {} ]
        for referenced_cell in referenced_cells:
            possible_combinations[0][referenced_cell] = 1
    else:
        return 0

    final_result = 0

    for combination in possible_combinations:
        # Evaluate sum formulas in referenced cells for current combination
        evaluated_referenced_cells = {}
        for referenced_cell in combination:
            if isinstance(referenced_cells[referenced_cell], str) and referenced_cells[referenced_cell].startswith('='):
                # Recalculate the values of the referenced cells that have sum formulas
                evaluated_referenced_cells[referenced_cell] = evaluate_sum_formula(referenced_cells[referenced_cell], referenced_cells)
            else:
                evaluated_referenced_cells[referenced_cell] = referenced_cells[referenced_cell]

        # Calculate the final value of the cell with the sum formula
        final_result = evaluate_sum_formula(cell_with_formula, referenced_cells, evaluated_referenced_cells)

    return final_result

def evaluate_sum_formula(formula, all_cells, evaluated_referenced_cells = None):
    formula = formula.replace('=', '')
    terms = formula.split('+')
    total = 0

    for term in terms:
        term = term.strip()
        try:
            # Check if term is a number
            total += float(term)
        except ValueError:
            # Or check if the term is a referenced cell to add to the total
            if term in all_cells:
                if evaluated_referenced_cells and term in evaluated_referenced_cells:
                    total += float(evaluated_referenced_cells[term])
                else:
                    total += float(all_cells[term])
            else:
                total += 0

    return total

class Excel:
    def __init__(self, height, width):
        self.height = height
        self.width = width
        self.cells = [[''] * width for _ in range(height)]
        self.values = [[0] * width for _ in range(height)]
        self.dependency_graph = [[set() for _ in range(width)] for _ in range(height)]

    def set(self, row, column, value):
        self.cells[row][column] = str(value)
        self.dependency_graph = [[set() for _ in range(self.width)] for _ in range(self.height)]
        self.calculate_cell(row, column)

    def get(self, row, column):
        return self.values[row][column]

    def sum(self, row, column, formula):
        self.cells[row][column] = formula
        self.dependency_graph = [[set() for _ in range(self.width)] for _ in range(self.height)]
        self.calculate_cell(row, column)

    def calculate_cell(self, row, column):
        formula = self.cells[row][column]
        if formula == '':
            self.values[row][column] = 0
            return

        if formula.isdigit():
            self.values[row][column] = int(formula)
            return

        self.values[row][column] = self.evaluate_formula(row, column, formula)

        #After updating value, recalculate dependants
        for dependant_row in range(self.height):
            for dependant_column in range(self.width):
                if (row, column) in self.dependency_graph[dependant_row][dependant_column]:
                    self.calculate_cell(dependant_row, dependant_column)

    def evaluate_formula(self, row, column, formula):
        total = 0
        parts = formula.split('+')
        for part in parts:
            if ':' in part:
                start, end = part.split(':')
                start_row = ord(start[0]) - ord('A')
                start_col = int(start[1:]) - 1
                end_row = ord(end[0]) - ord('A')
                end_col = int(end[1:]) - 1

                # Add cell to dependency graph before calculating
                for i in range(start_row, end_row + 1):
                    for j in range(start_col, end_col + 1):
                        self.dependency_graph[row][column].add((i, j))
                        total += self.values[i][j]

            else:
                cell_row = ord(part[0]) - ord('A')
                cell_col = int(part[1:]) - 1
                
                # Add cell to dependency graph before calculating
                self.dependency_graph[row][column].add((cell_row, cell_col))
                total += self.values[cell_row][cell_col]

        return total