def assign_numbers_to_cards(cards):
    color_to_number = {}  # Dictionary to store assigned numbers for each color
    assigned_numbers = []  # List to store assigned numbers in the order of cards

    for card in cards:
        color = card[0]  # Color of the card
        if color not in color_to_number:
            color_to_number[color] = len(color_to_number) + 1  # Assign the next available number for the color
        assigned_numbers.append(color_to_number[color])  # Append the assigned number to the list

    color_order = sorted(color_to_number, key=color_to_number.get)  # Sort the colors based on assigned numbers

    return assigned_numbers, color_order


# Example usage
cards = ['blue', 'red', 'green', 'blue', 'green', 'red', 'yellow']
assigned_numbers, color_order = assign_numbers_to_cards(cards)
print("Assigned Numbers:", assigned_numbers)
print("Color Order:", color_order)