# Constants

blocks_per_adjustment = 2016 # Number of blocks between difficulty adjustments

target_time_per_block = 10 * 60 # 10 minutes per block in seconds

target_time_for_adjustment = blocks_per_adjustment * target_time_per_block # Time for 2016 blocks

# Function to calculate new difficulty

def calculate_new_difficulty(previous_difficulty, actual_time_taken):

# Difficulty adjustment factor is based on the ratio of actual time to target time

adjustment_factor = target_time_for_adjustment / actual_time_taken

# Limit the adjustment factor between 0.25x and 4x (Bitcoin's rules)

adjustment_factor = max(0.25, min(adjustment_factor, 4))

# New difficulty is previous difficulty multiplied by the adjustment factor

new_difficulty = previous_difficulty * adjustment_factor

return new_difficulty

# Example usage:

previous_difficulty = 1000000 # Example previous difficulty value

actual_time_taken = 14 * 24 * 60 * 60 # Example actual time taken for 2016 blocks (14 days)

new_difficulty = calculate_new_difficulty(previous_difficulty, actual_time_taken)

print(f"New difficulty: {new_difficulty}")