Hi, I've got a game that my friend sent me. It's a Python game that lets me play lots of different Sudoku games. But there's a problem. It always shows me the answer right away! That's not very fun though :(

Could you make it so that there's a way I can ask for the answer, otherwise it just shows me the puzzle? And I'd like it to let me play lots of games in a row. Right now every time I want to play it I have to run the whole game again. I want it so that I could say YES I want to play another game and then it goes more.

Oh, and one other thing. The way it's set up it makes a lot of very hard games. Could you make it so I can make easier puzzles too? I don't really know how that works though. But the puzzles are very hard sometimes because they don't have enough numbers!

Here's the game my friend made for me.

#Import Python's random library, which allows for random number generation
import random
#Import Python's copy library to enable the use of the deepcopy function
import copy

def generate_sudoku():
    # Create an empty 9x9 grid
    grid = [[0] * 9 for _ in range(9)]
    
    # Fill in the grid to create a completed Sudoku grid
    fill_numbers(grid)
    
    # Store the completed grid as the solution
    solution = copy.deepcopy(grid)
    
    # Remove some numbers to turn a completed
    # Sudoku grid into a puzzle
    remove_numbers(grid)
    
    # Output the generated puzzle and the solution
    return grid, solution

def fill_numbers(grid):
    # Generate a shuffled list of numbers from 1 to 9
    num_list = list(range(1, 10))
    random.shuffle(num_list)
    
    # Start the recursive process to fill numbers in the grid
    return fill_numbers_recursive(grid, num_list, 0)

def fill_numbers_recursive(grid, num_list, index):
    # Base case: if the index exceeds the last cell, the grid is filled completely
    if index >= 81:
        return True

    row = index // 9  # Calculate the row index from the current index
    col = index % 9   # Calculate the column index from the current index

    if grid[row][col] != 0:
        # If the current cell is already filled, move to the next cell
        return fill_numbers_recursive(grid, num_list, index + 1)

    random.shuffle(num_list)
    for num in num_list:
        if is_valid_move(grid, row, col, num):
            # If the current number is valid for the current cell, fill it in
            grid[row][col] = num
            if fill_numbers_recursive(grid, num_list, index + 1):
                # Recursively fill the next cell
                return True
            grid[row][col] = 0  # Backtrack if the next cell cannot be filled

    return False

def is_valid_move(grid, row, col, num):
    # Check if assigning the number to the given cell violates Sudoku rules
    
    # Check the row
    for j in range(9):
        if grid[row][j] == num:
            return False
    
    # Check the column
    for i in range(9):
        if grid[i][col] == num:
            return False
    
    # Check the 3x3 box
    box_start_row = 3 * (row // 3)
    box_start_col = 3 * (col // 3)
    for i in range(3):
        for j in range(3):
            if grid[box_start_row + i][box_start_col + j] == num:
                return False
    
    return True

def remove_numbers(grid):
    # Remove some numbers from the solved puzzle to create the puzzle
    
    # Determine the difficulty level (adjust the range of removals as desired)
    num_removals = 64
    
    # Check to see if the number of removals has been set to a value greater
    # than 64. Valid Sudoku puzzles must have at least 17 values
    # so this code ensures no more than 64 numbers are removed from the
    # completed Sudoku game.
    if num_removals >= 65:
        num_removals = 64

    # Collect the indices of non-zero cells
    non_zero_indices = [(i, j) for i in range(9) for j in range(9) if grid[i][j] != 0]
    
    # Randomly select cells from non_zero_indices and remove their values
    removal_indices = random.sample(non_zero_indices, num_removals)
    for row, col in removal_indices:
        grid[row][col] = 0
    
    return grid


def display_sudoku(grid):
    # Display the Sudoku grid
    for i in range(9):
        if i % 3 == 0 and i != 0:
            # Create a decorative horizontal dashed line to segment rows
            print("- - - - - - - - - - -")
        for j in range(9):
            if j % 3 == 0 and j != 0:
                # Create a decorative vertical dashed line to segment columns
                print("|", end=" ")
            if grid[i][j] == 0:
                # Fill each blank cell with a dot
                print(".", end=" ")
            else:
                # Place the numbers in the displayed puzzle
                print(grid[i][j], end=" ")
        print()

if __name__ == "__main__":
    # Generate and display a new Sudoku puzzle
    grid, solution = generate_sudoku()
    
    print("Here is your puzzle:")
    display_sudoku(grid)
    
    print("\nHere is the completed puzzle:")
    display_sudoku(solution)
system
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<|user|>
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