answer:def create_matrix(rows, columns, elements): Creates a matrix with given rows and columns using the provided elements. Args: rows (int): number of rows. columns (int): number of columns. elements (list): flat list of elements to fill the matrix row by row. Returns: list: 2D list representing the matrix. if len(elements) != rows * columns: raise ValueError("The number of elements provided does not match the dimensions of the matrix") matrix = [] for i in range(rows): row = elements[i * columns:(i + 1) * columns] matrix.append(row) return matrix def print_matrix(matrix): Prints the matrix in a row by row format. Args: matrix (list): 2D list representing the matrix to print. for row in matrix: print(' '.join(map(str, row)))

answer:def display_welcome_screen(): Displays a simple text-based welcome screen for a console application. welcome_message = *********************************** * * * WELCOME TO MY * * CONSOLE APPLICATION * * * *********************************** print(welcome_message)

answer:def fibonacci(n): Generates the Fibonacci sequence up to the nth number. Parameters: n (int): The number of terms in the Fibonacci sequence to generate. Returns: list: A list containing the first n terms of the Fibonacci sequence. if not isinstance(n, int) or n <= 0: return "Invalid input. Please enter a positive integer." sequence = [0, 1] if n == 1: return [0] elif n == 2: return sequence for i in range(2, n): next_term = sequence[-1] + sequence[-2] sequence.append(next_term) return sequence

answer:def dpll(clauses, assignment): DPLL algorithm implementation. Parameters: clauses - List of clauses (list of lists of integers). assignment - Current variable assignment (dictionary of variable: Bool). Returns: Bool - True if the formula is satisfiable, False otherwise. Assignment - Dictionary containing the final variable assignments if satisfiable. # Base case: If no clauses, problem is solved if not clauses: return True, assignment # Base case: If an empty clause is found, problem is unsatisfiable if any([clause == [] for clause in clauses]): return False, None # Find a literal to assign (first unassigned literal) l = select_literal(clauses, assignment) # Try assigning True to the literal assignment[l] = True new_clauses = simplify(clauses, l) sat, final_assignment = dpll(new_clauses, assignment) if sat: return True, final_assignment # Backtrack and try assigning False to the literal assignment[l] = False new_clauses = simplify(clauses, -l) sat, final_assignment = dpll(new_clauses, assignment) if sat: return True, final_assignment # If neither assignment leads to a solution, problem is unsolvable return False, None def select_literal(clauses, assignment): Select the first unassigned literal. for clause in clauses: for literal in clause: if abs(literal) not in assignment: return abs(literal) raise Exception("No unassigned literals found!") def simplify(clauses, l): Simplify the set of clauses given the assignment of a single literal. new_clauses = [] for clause in clauses: if l not in clause: # clause is satisfied, don't include it new_clause = [x for x in clause if x != -l] # remove -l from this clause new_clauses.append(new_clause) return new_clauses