def calculate_time_to_explore_keyspace(attempts_per_second):
    total_keys = 2**256  # Approximately 1.15 x 10^77

    seconds_per_year = 60 * 60 * 24 * 365
    keys_per_year = attempts_per_second * seconds_per_year
    total_years = total_keys / keys_per_year
    total_seconds = total_years * seconds_per_year
    total_minutes = total_seconds / 60
    total_hours = total_minutes / 60
    total_days = total_hours / 24

    return total_years, total_seconds, total_minutes, total_hours, total_days

def print_detailed_time(total_years, total_seconds, total_minutes, total_hours, total_days):
    print(f"Total time to explore the entire keyspace: {total_years:.2e} years")
    print(f"Total time in seconds: {total_seconds:.2e} seconds")
    print(f"Total time in minutes: {total_minutes:.2e} minutes")
    print(f"Total time in hours: {total_hours:.2e} hours")
    print(f"Total time in days: {total_days:.2e} days\n")

def present_keyspace_analysis():
    print("Keyspace Analysis for Bitcoin Private Keys")
    print("=" * 40)
   
    high_attempt_rate = 10**9  # assuming 1 billion attempts per second (very optimistic)
   
    total_years, total_seconds, total_minutes, total_hours, total_days = calculate_time_to_explore_keyspace(high_attempt_rate)

    print(f"Assuming {high_attempt_rate:,} keys can be tested per second:")
    print(f"Total keys in Bitcoin (2^256): {2**256:.2e} keys")
    print_detailed_time(total_years, total_seconds, total_minutes, total_hours, total_days)


    hex64_attempts = 10**18  # 1 quintillion HEX64 combinations (also very optimistic)
    total_years_hex64, total_seconds_hex64, total_minutes_hex64, total_hours_hex64, total_days_hex64 = calculate_time_to_explore_keyspace(hex64_attempts)

    print(f"Assuming {hex64_attempts:,} HEX64 combinations can be tested per second:")
    print_detailed_time(total_years_hex64, total_seconds_hex64, total_minutes_hex64, total_hours_hex64, total_days_hex64)
    print("Comparison of Bitcoin keyspace sizes:")
    print(f"- 256-bit keyspace: 2^256 ≈ {2**256:.2e} keys")
    print(f"- 135-bit public key space: 2^135 ≈ {2**135:.2e} keys")
    print(f"- 67-bit address space: 2^67 ≈ {2**67:.2e} keys")
    print("\nProbability of randomly guessing a Bitcoin private key:")
    probability = 1 / (2**256)
    print(f"The probability of successfully guessing a valid Bitcoin private key: {probability:.2e}")
    print("\nConclusion:")
    print("Even with highly optimistic assumptions about the number of keys tested per second,")
    print("the time required to brute-force the entire Bitcoin private key space is")
    print("astronomically high and completely impractical, making the claims about")
    print("recovering lost wallets through this method unfounded.")

if __name__ == "__main__":
    present_keyspace_analysis()