can be called a mutagen

It's not that simple, but it speeds up the process, you've noticed it yourself)
you can add it to Cyclon as a new method, and there you just don’t calculate the puzzle range, but enter the key by which the bits will change, and it’s better not in random mode, but in sequential mode, because the random mode will loop and that’s it, and you will be forever, say, chasing in 30 bits, and you won’t find it, and it will be, say, in 33 bits
import time
import multiprocessing
import secp256k1 as ice
import random
from math import comb
import numpy as np
# Configuration
TARGET_ADDR = "1HsMJxNiV7TLxmoF6uJNkydxPFDog4NQum" # Puzzle 20
BASE_KEY = "000000000000000000000000000000000000000000000000000000000005749f" # Puzzle 19 Private Key
PUZZLE_NUM = 20
WORKERS = multiprocessing.cpu_count()
# Historical flip counts
FLIP_TABLE = {
20:8, 21:8, 22:9, 23:9, 24:10, 25:11, 26:12, 27:13, 28:14, 29:15,
30:16, 31:17, 32:18, 33:19, 34:20, 35:21, 36:22, 37:23, 38:24, 39:25,
40:26, 41:27, 42:28, 43:29, 44:30, 45:31, 46:32, 47:33, 48:34, 49:35,
50:36, 51:37, 52:38, 53:39, 54:40, 55:41, 56:42, 57:43, 58:44, 59:45,
60:46, 61:47, 62:48, 63:49, 64:50, 65:51, 66:52, 67:53
}
def predict_flips(puzzle_num):
"""Predict flip count using linear regression with bounds"""
if puzzle_num in FLIP_TABLE:
return FLIP_TABLE[puzzle_num]
# Linear regression
x = np.array(list(FLIP_TABLE.keys()))
y = np.array(list(FLIP_TABLE.values()))
coeffs = np.polyfit(x, y, 1)
predicted = round(coeffs[0] * puzzle_num + coeffs[1])
# Apply bounds (50-60% of bits)
bit_length = puzzle_num
lower = max(8, int(bit_length * 0.5))
upper = min(int(bit_length * 0.6), bit_length-5)
return min(max(predicted, lower), upper)
def mutate_key(base_int, flip_positions):
"""Ultra-fast bit flipping using XOR mask"""
flip_mask = sum(1 << bit for bit in flip_positions)
return base_int ^ flip_mask
def worker(base_int, bit_length, flip_count, results, stop_event):
checked = 0
bit_positions = list(range(bit_length))
start_time = time.time()
while not stop_event.is_set():
# Generate random flip positions
flip_pos = random.sample(bit_positions, flip_count)
# Create mutated key
priv_int = mutate_key(base_int, flip_pos)
checked += 1
# Generate address
addr = ice.privatekey_to_address(0, True, priv_int)
if addr == TARGET_ADDR:
hex_key = "%064x" % priv_int
actual_flips = bin(base_int ^ priv_int).count('1')
results.put((hex_key, checked, actual_flips))
stop_event.set()
return
# Progress update
if checked % 10000 == 0:
elapsed = time.time() - start_time
speed = checked/elapsed if elapsed > 0 else 0
print(f"Checked {checked:,} | {speed:,.0f} keys/sec", end='\r')
def parallel_search():
bit_length = PUZZLE_NUM
base_int = int(BASE_KEY, 16)
flip_count = predict_flips(PUZZLE_NUM)
total_combs = comb(bit_length, flip_count)
print(f"\nSearching Puzzle {PUZZLE_NUM} (256-bit)")
print(f"Base Key: {BASE_KEY}")
print(f"Target: {TARGET_ADDR}")
print(f"Predicted Flip Count: {flip_count} bits")
print(f"Total Possible Combinations: 2^{int(np.log2(total_combs)):,}")
print(f"Using {WORKERS} workers...\n")
manager = multiprocessing.Manager()
results = manager.Queue()
stop_event = manager.Event()
start_time = time.time()
with multiprocessing.Pool(WORKERS) as pool:
for _ in range(WORKERS):
pool.apply_async(worker, (base_int, bit_length, flip_count, results, stop_event))
try:
hex_key, checked, actual_flips = results.get(timeout=86400) # 24h timeout
stop_event.set()
elapsed = time.time() - start_time
print(f"\nFound in {elapsed/3600:.2f} hours")
print(f"Private Key: {hex_key}")
print(f"Actual Bit Flips: {actual_flips}")
print(f"Keys Checked: {checked:,}")
print(f"Speed: {checked/elapsed:,.0f} keys/sec")
solution_file = f"puzzle_{PUZZLE_NUM}_solution.txt"
with open(solution_file, "w") as f:
f.write(hex_key)
print(f"\nSolution saved to {solution_file}")
return hex_key
except:
print("\nKey not found in 24 hours - try adjusting flip count ±2")
return None
finally:
pool.terminate()
if __name__ == "__main__":
flip_count = predict_flips(PUZZLE_NUM) # First calculate flip_count
print(f"Predicted flip count for {PUZZLE_NUM}: {flip_count} bits")
solution = parallel_search()
Here is my Python version.
I still think this is useless. If someone convinces me otherwise.

you don't need to use random, so you won't find a match, only if you guess the number of bits