r.ef ecb.dat | r.aes h:00000000000000000000000000000000

r.ef cbc.dat | r.aes -i h:01020304050607080102030405060708 h:00000000000000000000000000000000

r.ef ctr.dat | r.aes -m CTR -i h:99999999999999999999999999999999 h:11111111111111111111111111111111

X: Ovgh xlliwrmzgv gsv wilk klrmg.
Y: Ztivvw yfg dv szev gl yv xzivufo. Lfi xibkgltizksvih dzimvw fh zylfg gsrh nvgslw. Gsvb hzb rg dlmg slow uli olmt.
X: Dv wlmg szev grnv gl hvg fk zmbgsrmt yvggvi. Xlnv gl gsv fhfzo kozxv rm gsv Kvmgztlm, Hgzeyzihpz 42. Gsv yzigvmwvi droo trev blf gsv kzxpztv. 
Y: Urmv yfg ru dv tvg xlnkilnrhvw yvxzfhv lu gsv xrksvi blf szev gl wlfyov blfi hgzpvh. HP-XVIG{szev_blf_vevi_svziw_zylfg_z_yolxp_xrksvi???}

key1: h+NvKyaJFRhpn7lRWo0JGGcSk7TOd2ltibSSI1CGDCk=
key2: CznIYU0rBgmzSb7WyqYfj+WKyDSXbbnsa8Wp/IRvUOc=
key3: ihpLsXPURUTwH4ULO9/87rHRCQibQO6+V4/QKJL7Bgg=

Y: rOkz0hogqrrjVXe8KhfwPmTXqy0NI5BaaVRwg8g4490Gi//XIIYY6t7pMpw/0DN4V26tcdwmmOOne75oEt4/oQ==
X: t+WZSn6H1mA9XUQJrQ2xxt33nVh6orKFygb7Q+8xMe9JSk7XgMdZ8Fwq9rSMw9SuCZWoIJ8qYOSOKwmyyvMmW7/kkPDoWNEezfme08HmEWi3DrPAefIpNVVewbfVzt5j
Y: dNMxxcWRHkxNxHu17gw5g5IE/Jf6tNmxw4OfBHEXfRv0cx4pKVKYjZofSRAgFspLnWcdR5GGasKxCgpOANPyS4liypMrPFKlXy/pm2BG7bM=
X: k8JzsMNxiG5KPGSdM/YjGjW7y8dzgG8vsQ3RB062Kz1/EzwUaWz5Sr2UFNuq0jcWqDdj3Y9I0UKz0rYdZuTxMHZ+oKVEqI8Xv9CuvOmOzkdBoBgsjaWT9ke6+BPcMH9Kpwq/jgoYVQ7SfJDKx5GCAxzSLyyS6tXGIZRrUny6jiU=

#!/usr/bin/env python3
import base64

from Crypto.Cipher import AES

KEY1 = base64.b64decode('h+NvKyaJFRhpn7lRWo0JGGcSk7TOd2ltibSSI1CGDCk=')
KEY2 = base64.b64decode('CznIYU0rBgmzSb7WyqYfj+WKyDSXbbnsa8Wp/IRvUOc=')
KEY3 = base64.b64decode('ihpLsXPURUTwH4ULO9/87rHRCQibQO6+V4/QKJL7Bgg=')

MESSAGES = [
    'rOkz0hogqrrjVXe8KhfwPmTXqy0NI5BaaVRwg8g4490Gi//XIIYY6t7pMpw/0DN4V26tcdwmmOOne75oEt4/oQ==',
    't+WZSn6H1mA9XUQJrQ2xxt33nVh6orKFygb7Q+8xMe9JSk7XgMdZ8Fwq9rSMw9SuCZWoIJ8qYOSOKwmyyvMmW7/kkPDoWNEezfme08HmEWi3DrPAefIpNVVewbfVzt5j',
    'dNMxxcWRHkxNxHu17gw5g5IE/Jf6tNmxw4OfBHEXfRv0cx4pKVKYjZofSRAgFspLnWcdR5GGasKxCgpOANPyS4liypMrPFKlXy/pm2BG7bM=',
    'k8JzsMNxiG5KPGSdM/YjGjW7y8dzgG8vsQ3RB062Kz1/EzwUaWz5Sr2UFNuq0jcWqDdj3Y9I0UKz0rYdZuTxMHZ+oKVEqI8Xv9CuvOmOzkdBoBgsjaWT9ke6+BPcMH9Kpwq/jgoYVQ7SfJDKx5GCAxzSLyyS6tXGIZRrUny6jiU='
]


def triple_decrypt_cbc(ciphertext, k1, k2, k3):
    cipher3 = AES.new(k3, AES.MODE_ECB)
    step1 = cipher3.decrypt(ciphertext)

    cipher2 = AES.new(k2, AES.MODE_ECB)
    step2 = cipher2.encrypt(step1)

    cipher1 = AES.new(k1, AES.MODE_ECB)
    plaintext = cipher1.decrypt(step2)

    return plaintext


def main():
    for message in MESSAGES:
        ciphertext = base64.b64decode(message.encode())
        print(f'ciphertext (len={len(ciphertext)}:', ciphertext)
        plaintext = triple_decrypt_cbc(ciphertext, KEY1, KEY2, KEY3)

        try:
            print("Decrypted text:")
            print(plaintext.decode('utf-8'))
        except UnicodeDecodeError:
            print("Raw decrypted bytes:")
            print(plaintext)

        print('\n' + '=' * 120 + '\n')


if __name__ == '__main__':
    main()

SK-CERT{1_w0nd3r_why_th3y_d0nt_us3_7h1s_1rl}

X: tL90zeX19A2CLF9PH9oMQEuAPURmv7rp+oQ/DWiXEwTTQ6Ry/yDBHgqBGAa+OCaoI5JfdGYqhM2SHCWQyVdKJPj8HTY3gkxG38JEaET+CgX7h3cPQrufwYG8UOH6scrk1+guWvLOIAb/VJZ7pbjnEeORtN9C91EvxhNAO7r9pSFczo2TCGyFSaNOsvzN6C88Gw+4eXMTtVw=

Y: mBpf0ZTjWUczik9rrfwdM4wgVrN4I+++PGQSctBkAliziynxXJxYT0KnWxf5q8f1utv9ERPaWsJ+e/fENymhCWELXAnXGFaF8LHLzl9N1TWxu4b1CPPsU2pi2Rar9pm9FLfN4x/yYfP7daqKD7Rvq67wRu9+jsrgQKFj7687mZA4I9s11NpQQ7TSrEVr8Xx0d8FIZsV4x9M=

X: R8BSLUs24ieC8nV22ER/HYDYE7ltrz548dNMJeC+SwsOrcXFmuTdYHlSCnor9NU28nSoDhCJ7DXMDL5gzEiPWsikIgeM30CNfyH2ny/A6H0eZrOyLiEK8ZOS79hoFDsbiA3IidA2KpB9EgbRz1vRzXoOsAhUTa27/Px3nlCOboZRhXnTruzsPnKpWYjvXRQLKKW/d4Y4BbI=

Y: xl24Q/q0QOTK0hl1zOrSLgOEfbg+pzUf2FLNfS4OJD8k+R5hviqHb+DFSO2m1gXzkNoQa2guDRSRtKmHqigFKB/azqdEahvEnbH/wUImMc5UeC1FjOwsc7MBrhELI2M+rpo0z2RvzX+2VF0fCQWGm8by5D7yyJL8VHsE6acQjGSvkz0L+kRNtAQXh4ywjAet3rxnSlyu1kO9N4BPjCpCYNtfuPbnccMUCWiePiyj+GXh838frFEDdzL9gVOA4CZSNIOOgIJ0Re1c3dPQBdxhqpeXXyoj4PUK1W1Q6ZjOr362SoD8PwUU55nQTPUW50cp

X: CuU+OFj7FoHmmT1Ppsfn+kbLwwQF9A9hvdLgE8sEIi6D6RyCr6b2E+YxQi2x9qkECPJkiuSeYypnDifjavlhvTez6hM2JbZV4WrrzmePjWd/a63ZBgTs/JR9j0XdO0xoXCi5Y0rPDjj0oJsfLilu34PXtO8t1Y2MnlPQ/aRvhn+xe3mKauDuDtPjI+N3Tood

Y: AYdjr4yUpFrQC23EKtj0+w5m6Qq5QnxHcCC8WeU9GUPH6rAig0auAEKMVyfGnj/qxHKXuFSnWX+9Z04hY3RYLw==

#!/usr/bin/env python3
import base64
from functools import reduce

from Crypto.Cipher import AES

MESSAGES = [
    'tL90zeX19A2CLF9PH9oMQEuAPURmv7rp+oQ/DWiXEwTTQ6Ry/yDBHgqBGAa+OCaoI5JfdGYqhM2SHCWQyVdKJPj8HTY3gkxG38JEaET+CgX7h3cPQrufwYG8UOH6scrk1+guWvLOIAb/VJZ7pbjnEeORtN9C91EvxhNAO7r9pSFczo2TCGyFSaNOsvzN6C88Gw+4eXMTtVw=',
    'mBpf0ZTjWUczik9rrfwdM4wgVrN4I+++PGQSctBkAliziynxXJxYT0KnWxf5q8f1utv9ERPaWsJ+e/fENymhCWELXAnXGFaF8LHLzl9N1TWxu4b1CPPsU2pi2Rar9pm9FLfN4x/yYfP7daqKD7Rvq67wRu9+jsrgQKFj7687mZA4I9s11NpQQ7TSrEVr8Xx0d8FIZsV4x9M=',
    'R8BSLUs24ieC8nV22ER/HYDYE7ltrz548dNMJeC+SwsOrcXFmuTdYHlSCnor9NU28nSoDhCJ7DXMDL5gzEiPWsikIgeM30CNfyH2ny/A6H0eZrOyLiEK8ZOS79hoFDsbiA3IidA2KpB9EgbRz1vRzXoOsAhUTa27/Px3nlCOboZRhXnTruzsPnKpWYjvXRQLKKW/d4Y4BbI=',
    'xl24Q/q0QOTK0hl1zOrSLgOEfbg+pzUf2FLNfS4OJD8k+R5hviqHb+DFSO2m1gXzkNoQa2guDRSRtKmHqigFKB/azqdEahvEnbH/wUImMc5UeC1FjOwsc7MBrhELI2M+rpo0z2RvzX+2VF0fCQWGm8by5D7yyJL8VHsE6acQjGSvkz0L+kRNtAQXh4ywjAet3rxnSlyu1kO9N4BPjCpCYNtfuPbnccMUCWiePiyj+GXh838frFEDdzL9gVOA4CZSNIOOgIJ0Re1c3dPQBdxhqpeXXyoj4PUK1W1Q6ZjOr362SoD8PwUU55nQTPUW50cp',
    'CuU+OFj7FoHmmT1Ppsfn+kbLwwQF9A9hvdLgE8sEIi6D6RyCr6b2E+YxQi2x9qkECPJkiuSeYypnDifjavlhvTez6hM2JbZV4WrrzmePjWd/a63ZBgTs/JR9j0XdO0xoXCi5Y0rPDjj0oJsfLilu34PXtO8t1Y2MnlPQ/aRvhn+xe3mKauDuDtPjI+N3Tood',
    'AYdjr4yUpFrQC23EKtj0+w5m6Qq5QnxHcCC8WeU9GUPH6rAig0auAEKMVyfGnj/qxHKXuFSnWX+9Z04hY3RYLw=='
]


def xor_bytes(*args):
    return bytes(reduce(lambda x, y: [a ^ b for a, b in zip(x, y)], args))


def triple_decrypt_cbc(ciphertext, k1, k2, k3):
    cipher3 = AES.new(k3, AES.MODE_ECB)
    step1 = cipher3.decrypt(ciphertext)

    cipher2 = AES.new(k2, AES.MODE_ECB)
    step2 = cipher2.encrypt(step1)

    cipher1 = AES.new(k1, AES.MODE_ECB)
    plaintext = cipher1.decrypt(step2)

    return plaintext


def main():
    m1 = base64.b64decode(MESSAGES[0])
    m2 = base64.b64decode(MESSAGES[1])
    m3 = base64.b64decode(MESSAGES[2])

    key = xor_bytes(m1, m2, m3)
    print("Recovered key (hex):", key)

    """
    Recovered key (hex): b'key1: Om3TeRjbnnGxxNs3k/73aZXMZWneHF9XD11tIklg4kk=\nkey2: kl426dwQSc8lEZNPRy94s7MTZBHdiycxLf/9ShBKR+0=\nkey3: eWYw7oB8h46tzNTJEHR75h/urZ94e5G1IDGCDkOh0Sw='
    """

    key1 = base64.b64decode('Om3TeRjbnnGxxNs3k/73aZXMZWneHF9XD11tIklg4kk=')
    key2 = base64.b64decode('kl426dwQSc8lEZNPRy94s7MTZBHdiycxLf/9ShBKR+0=')
    key3 = base64.b64decode('eWYw7oB8h46tzNTJEHR75h/urZ94e5G1IDGCDkOh0Sw=')

    for message in MESSAGES[3:]:
        ciphertext = base64.b64decode(message.encode())
        print(f'ciphertext (len={len(ciphertext)}:', ciphertext)
        plaintext = triple_decrypt_cbc(ciphertext, key1, key2, key3)

        try:
            print("Decrypted text:")
            print(plaintext.decode('utf-8'))
        except UnicodeDecodeError:
            print("Raw decrypted bytes:")
            print(plaintext)

        print('\n' + '=' * 120 + '\n')


if __name__ == '__main__':
    main()

r.ef Ransomware/files/inescapable_storyception_of_doom.txt.enc | r.xor h:8382D29E0559CF6F21BE0CB2F97E5955

#!/usr/bin/env python3
"""
Recover a 16-byte PNG encryption key using known plaintext blocks.
"""

import argparse


def rotate_right(b: int, bits: int) -> int:
    """
    Rotate an 8-bit value right by the given number of bits.
    """
    return ((b >> bits) & 0xFF) | ((b << (8 - bits)) & 0xFF)


# Known PNG header bytes 0–15 (IHDR chunk signature prefix)
PNG_HDR = bytes.fromhex("89504E470D0A1A0A0000000D49484452")


def recover_key(enc_path: str, orig_path: str) -> bytes:
    """
    Recover the 16-byte encryption key given:
      - enc_path: path to the encrypted PNG file (.enc)
      - orig_path: path to the original plaintext PNG file

    The algorithm:
      1. Read first 16 bytes of ciphertext (block 0) and use PNG_HDR
         to extract the top 7 bits of each key byte.
      2. Read next 16 bytes of ciphertext (block 1), undo the left
         rotation by 3, XOR with the known plaintext bytes from the
         original file, and extract each LSB of the rotated key.
      3. Combine the 7 bits from step 1 and the single LSB from step 2
         to reconstruct each full key byte.
    """
    # Read first 32 bytes of ciphertext
    with open(enc_path, "rb") as f:
        data = f.read(32)
    enc0 = data[0:16]
    enc1 = data[16:32]

    # Step 1: extract top 7 bits from block 0
    key_top7 = [(enc0[i] ^ PNG_HDR[i]) & 0xFE for i in range(16)]

    # Read plaintext block 1 from the original PNG
    with open(orig_path, "rb") as f:
        f.seek(16)
        plain1 = f.read(16)

    # Step 2: undo the rotate_left(…,3) on block 1 ciphertext
    unrot1 = [rotate_right(b, 3) for b in enc1]

    # XOR with plaintext to obtain the rotated key bytes
    rotated_key = bytes(u ^ p for u, p in zip(unrot1, plain1))

    # Step 3: extract each LSB from the rotated key and combine
    full_key = bytes(
        key_top7[i] | (rotated_key[(i - 1) % 16] & 1)
        for i in range(16)
    )
    return full_key


if __name__ == "__main__":
    parser = argparse.ArgumentParser(
        description="Recover PNG encryption key using known plaintext."
    )
    parser.add_argument(
        "enc_path",
        help="Path to the encrypted .enc PNG file"
    )
    parser.add_argument(
        "orig_path",
        help="Path to the original plaintext PNG file"
    )
    args = parser.parse_args()

    key = recover_key(args.enc_path, args.orig_path)
    print(key.hex())

def rotate_right(byte, bits):
    return ((byte >> bits) & 0xff) | ((byte << (8 - bits)) & 0xff)


def decrypt_file(encrypted_file, key):
    with open(encrypted_file, "rb") as f:
        data = f.read()

    decrypted = bytearray()
    block_size = len(key)
    num_blocks = (len(data) + block_size - 1) // block_size

    for i in range(num_blocks):
        block = data[i * block_size: (i + 1) * block_size]
        if i == 0:
            # First block: XOR with key, ignoring LSB
            dec_block = bytearray()
            for b, k in zip(block, key):
                # Clear LSB before XOR to get original byte
                dec_byte = (b & 0xFE) ^ k
                dec_block.append(dec_byte)
        else:
            # Other blocks: reverse the encryption steps
            # 1. First rotate key
            offset = i % block_size
            rotated_key = key[offset:] + key[:offset]
            # 2. Then rotate right by 3 to undo the left rotation
            rotated_block = bytes(rotate_right(b, 3) for b in block)
            # 3. Finally XOR with rotated key
            dec_block = bytes(b ^ k for b, k in zip(rotated_block, rotated_key))
        decrypted.extend(dec_block)

    return decrypted


def main():
    # Example usage
    # encrypted_file = "./files/slon.png.enc"
    # output_file = "./files/slon.png"

    encrypted_file = "./files/slopes_of_the_unknowable.txt.enc"
    output_file = "./files/slopes_of_the_unknowable.txt"

    # Decrypt the file
    decrypted_data = decrypt_file(encrypted_file, bytes.fromhex('a58b3283477d8470cba5c8f083634e2a'))

    # Write decrypted data
    with open(output_file, "wb") as f:
        f.write(decrypted_data)

    print(f"[+] Decrypted file written to {output_file}")


if __name__ == "__main__":
    main()

Sireeehng!the!Rlopes of the Unknowable

It all started with Rick waking up from a hangover inside a snow globe.
“Morty, get the sledgehammer. I accidentally dimension-hopped into a Christmas ornament again.”

Five smashed snowmen later, they stood in front of the portal gun.

“Morty, we’re going skiing. But not just anywhere,” Rick slurred, calibrating the gun with one hand while pouring schnapps into his coffee with the other. “We’re going outside the Central Finite Curve.”

Morty blinked. “Wait, what? Isn't that where all the non-Rick-dominated realities are?”

“Exactly! Which means we might actually get decent ski lift service.”

They portaled into a parallel universe ski resort called Slippery Realities, where the laws of physics were suggestions and snowflakes screamed as they fell.

“W-what the hell is this place?” Morty yelled as he adjusted his ski goggles, which were alive and whispering ominous prophecies into his ears.

Rick adjusted his skis, which were shaped like interdimensional fish. “This is Universe -∞.9b. Snow here is made of crystallized existential dread. It's primo for shredding.”

As they hit the slopes, Rick started yelling, “Watch out for the Slope Moguls! They’re sentient!”

Morty screamed as a mogul jumped at him, yelling “DO A TRICK OR DIE!”

Halfway down the mountain, they hit a temporal avalanche. Time itself started rewinding. Rick turned into a baby. Morty turned into a failed tax auditor.

“Rick! I can’t audit powder! I don’t even know what a W-2 is in this universe!”

Rick, now a toddler with a lab coat diaper, screamed, “BABY RICK NEEDS A TIME NAP!”

Thankfully, a sentient snowboard named Chad rescued them by doing a backflip so gnarly it temporarily restored local causality.

At the bottom of the mountain was a ski lodge run by Nietzsche clones, where the hot chocolate tasted like despair and came with a complimentary crisis of identity.

“We should go,” Morty muttered, sipping his drink while weeping softly.

“Not until we beat the Downhill Boss,” Rick said, pointing to the ski hill’s final challenge: a 10,000-foot vertical drop guarded by a giant snow demon made of failed philosophies.

Morty screamed.

Rick screamed louder—but only because his marshmallow was too hot.

They escaped by skiing off the edge of the universe itself, launching into the meta-dimensional void where gravity was negotiable and ski poles argued about Kantian ethics.

Back home, covered in frost and trauma, Morty collapsed on the couch.

“Rick… why?”

Rick tossed him a t-shirt that read ‘I Skied Outside the Central Finite Curve and All I Got Was a Recursive Mental Breakdown’.

“Because, Morty. Skiing inside the curve is for posers.”

THE END.

(Or is it? Time is still reversing in three universes. Sorry, Chad.)
############################################################################################


			SK-CERT{r1ck_4nd_m0r7y_4dv3n7ur35}	


############################################################################################

#!/usr/bin/env python3
"""
Recover the PRNG seed from the first 8 ciphertext bytes of an encrypted PNG,
then decrypt all .enc files in a folder.
"""

import argparse
import os
import struct


# PRNG definition (must match the one in main.py)
class PRNG:
    def __init__(self, x: int, y: int, counter: int = 0):
        self.x = x & 0xFFFFFFFF
        self.y = y & 0xFFFFFFFF
        self.counter = counter & 0xFFFFFFFF

    def rand(self) -> int:
        # exactly as in your encryptor
        t = (self.x ^ (self.x << 10)) & 0xFFFFFFFF
        self.x = self.y
        self.y = ((self.y ^ (self.y >> 10)) ^ (t ^ (t >> 13))) & 0xFFFFFFFF
        self.counter = (self.counter + 362437) & 0xFFFFFFFF
        return (self.y + self.counter) & 0xFFFFFFFF


# PNG’s first 8 bytes as big-endian u32 words
PNG_SIG0 = int.from_bytes(b'\x89PNG', byteorder='little')
PNG_SIG1 = int.from_bytes(b'\r\n\x1a\n', byteorder='little')


def invert_xor_right(v: int, shift: int) -> int:
    """Invert v = x ^ (x >> shift) for 32‑bit x."""
    x = 0
    for i in reversed(range(32)):
        if i + shift < 32:
            bit = ((v >> i) & 1) ^ ((x >> (i + shift)) & 1)
        else:
            bit = (v >> i) & 1
        x |= bit << i
    return x


def invert_xor_left(v: int, shift: int) -> int:
    """Invert v = x ^ (x << shift) for 32‑bit x."""
    x = 0
    for i in range(32):
        if i - shift >= 0:
            bit = ((v >> i) & 1) ^ ((x >> (i - shift)) & 1)
        else:
            bit = (v >> i) & 1
        x |= bit << i
    return x


def xor(a: bytes, b: bytes) -> bytes:
    return bytes(x ^ y for x, y in zip(a, b))


def recover_seed(enc_png: str, skip_blocks: int = 0):
    # read first 8 ciphertext bytes
    with open(enc_png, "rb") as f:
        data = f.read(8)
    c0 = struct.unpack("<I", data[0:4])[0]
    c1 = struct.unpack("<I", data[4:8])[0]

    # keystream words = ciphertext ^ plaintext
    k0 = c0 ^ PNG_SIG0
    k1 = c1 ^ PNG_SIG1

    # counter increments by 362437 each call; initial counter was 0
    C1 = ((skip_blocks + 1) * 362437) & 0xFFFFFFFF
    C2 = ((skip_blocks + 2) * 362437) & 0xFFFFFFFF

    # y1 and y2 are the PRNG’s y after call #1 and call #2
    y1 = (k0 - C1) & 0xFFFFFFFF
    y2 = (k1 - C2) & 0xFFFFFFFF
    print("y1: ", y1)
    print("y2: ", y2)

    # backtrack PRNG state skip_blocks times to align with initial outputs
    for _ in range(skip_blocks):
        A_bt = y2 ^ (y1 ^ (y1 >> 10))
        t_bt = invert_xor_right(A_bt, 13)
        y0_bt = invert_xor_left(t_bt, 10)
        y2, y1 = y1, y0_bt

    # Step A: recover y0 and x0
    # call #1: y1 = f(y0, t0), where t0 = x0 ^ (x0<<10)
    # so   A0 = y1 ^ (y0 ^ (y0>>10)) = t0 ^ (t0>>13)
    # invert that to get t0, then invert x^ (x<<10) to get x0
    # But we don’t yet know y0—so first recover y0 from the second step:
    # call #2: y2 = f(y1, t1) ⇒ A1 = y2 ^ (y1 ^ (y1>>10)) = t1 ^ (t1>>13)
    A1 = y2 ^ (y1 ^ (y1 >> 10))
    t1 = invert_xor_right(A1, 13)
    # t1 = x1 ^ (x1<<10), and x1 == y0 (because x was set to old y at each step)
    y0 = invert_xor_left(t1, 10)

    # now back‐solve x0:
    A0 = y1 ^ (y0 ^ (y0 >> 10))
    t0 = invert_xor_right(A0, 13)
    x0 = invert_xor_left(t0, 10)

    return x0, y0


def decrypt_folder(folder: str, x0: int, y0: int):
    prng = PRNG(x0, y0, counter=0)
    print('PAY ATTENTION THE SORT ORDER MIGHT BE WRONG AND THAT WILL MESS EVERYTHING UP!')
    for fn in sorted(os.listdir(folder)):
        if not fn.endswith(".enc"):
            continue
        inp = os.path.join(folder, fn)
        out = os.path.join(folder, fn[:-4])  # strip “.enc”
        with open(inp, "rb") as f_in, open(out, "wb") as f_out:
            while True:
                blk = f_in.read(4)
                if not blk:
                    break
                ks = prng.rand().to_bytes(4, "little")
                pt = bytes(b ^ k for b, k in zip(blk, ks))
                f_out.write(pt)
        print(f"→ Decrypted {fn} → {os.path.basename(out)}")


if __name__ == "__main__":
    parser = argparse.ArgumentParser(
        description="Recover PRNG state from a PNG and decrypt all .enc files"
    )
    parser.add_argument("encrypted_png", help="One of your .enc PNGs")
    parser.add_argument("folder", help="Directory containing all .enc files")
    parser.add_argument(
        "--skip-bytes", type=int, default=0,
        help="Number of plaintext bytes encrypted before the PNG (to adjust PRNG offset)"
    )
    args = parser.parse_args()
    # compute how many 4-byte blocks to skip based on earlier plaintext
    skip_blocks = (args.skip_bytes + 3) // 4
    x0, y0 = recover_seed(args.encrypted_png, skip_blocks)
    print(f"Recovered PRNG seed: x0=0x{x0:08x} ({x0}), y0=0x{y0:08x} ({y0})")
    decrypt_folder(args.folder, x0, y0)

python3 decrypt.py --skip-bytes 3315 ./files/slonik.png.enc ./files 

import hashlib
import json
from os import urandom
from Crypto.Cipher import AES

BYTE_MAX = 255
KEY_LEN = 32


class Moriz_OTS:
    def __init__(self):
        self.priv_key = []
        for _ in range(KEY_LEN):
            priv_seed = urandom(KEY_LEN)
            self.priv_key.append(priv_seed)
        self.gen_pubkey()

    def gen_pubkey(self):
        self.pub_key = []
        for i in range(KEY_LEN):
            pub_item = self.hash(self.priv_key[i])
            for _ in range(BYTE_MAX):
                pub_item = self.hash(pub_item)
            self.pub_key.append(pub_item)

    def hash(self, data):
        return hashlib.sha256(data).digest()

    def sign(self, data):
        data_hash = self.hash(data)
        data_hash_bytes = bytearray(data_hash)
        sig = []
        for i in range(KEY_LEN):
            sig_item = self.priv_key[i]
            int_val = data_hash_bytes[i]
            hash_iters = BYTE_MAX - int_val
            for _ in range(hash_iters):
                sig_item = self.hash(sig_item)
            sig.append(sig_item)
        return sig

    def verify(self, signature, data):
        data_hash = self.hash(data)
        data_hash_bytes = bytearray(data_hash)
        verify = []
        for i in range(KEY_LEN):
            verify_item = signature[i]
            hash_iters = data_hash_bytes[i] + 1
            for _ in range(hash_iters):
                verify_item = self.hash(verify_item)
            verify.append(verify_item)
        return self.pub_key == verify


if __name__ == "__main__":
    w = Moriz_OTS()

    output = {
        "signatures": []
    }

    for i in range(20):
        message = f"{w.pub_key[0].hex()} transfered {int.from_bytes(urandom(1), 'big')} CERTcoins to {urandom(32).hex()}".encode()
        signature = w.sign(message)
        assert w.verify(signature, message)
        output["signatures"].append({
            "message": message.decode(),
            "signature": [s.hex() for s in signature],
        })

    message2 = f"{w.pub_key[0].hex()} transfered 999999 CERTcoins to me".encode()
    signature2 = w.sign(message2)
    assert w.verify(signature2, message2)

    with open("flag.txt") as f:
        flag = f.read().strip().encode()
    aes_key = bytes([s[0] for s in signature2])
    aes_iv = urandom(16)
    cipher = AES.new(aes_key, AES.MODE_CBC, aes_iv)
    encrypted = cipher.encrypt(flag)

    with open("data.json", "w") as f:
        output["public_key"] = [s.hex() for s in w.pub_key]
        output["iv"] = aes_iv.hex()
        output["enc"] = encrypted.hex()

        f.write(json.dumps(output))

{"signatures": [{"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 183 CERTcoins to 58f2154c312704c90f07fca1746e523d8b908c4695944be23c8e2d7268ac788c", "signature": ["02ae85c74e18454f4043c23d94584a34e6eac2eb96f2e822fdcec258f64ad9a7", "7bfa3fb300bc8374b169b2f41b9576031b94892e198baebe4136766bc74c3264", "f383a64823f95b32bb7b091aca0334396992b421fb2f5d6f883755e0a1297065", "71ed5a665be2ed96423be4e6c69107d96578f5c5b3e4e0c30c98352814aada47", "9bbd12146edb3c127098229094587c272c1781ebdcba1d57594a09a648357bee", "7872d46eb99c447c65ebb0ca98c23c73c550974b39d2b58dbf84072d5454670d", "44f5e06a60f5f75b35676addb7073bce871c59098ebbf208462027680748cee4", "9a4e689885aa15a2093cbd2dc434eed8e7cb35160e0475ded5e2071a3ee4363f", "9d245d790047e2317e934748ab64d004f37ff331d34c6e31e989f1efcff4226e", "8edc1a9f5185404e53eb91b9bd9de375d8872501be7d7d53d06fbfc7a59d403e", "d90704bca4139f304452f63cd08b17c5255eb14682188d27ce5a4a80df338e3a", "757686bf7e3a36d5298cb9621f1eb2d1a2d3b35dbe8a3e7f8f16c124418881d9", "ac29c62354ef36178eddb03078f136806e556b556f62fddbfc9c0cb80e8990c1", "348c138488d0e6306f787307b24aae3c877b096369c9792a2eeb51260181f27a", "73a28f19902ade81f64febbfbf081ab6d8f4d24407c393cf4d12325450d88d5a", "34d98142f217fae880b369ea1d799f93f9ce3b846869567ac71c579328031e6f", "5769f0d117a49d932764c15db64f0262c1ada78879620d8b4914300b5cb3b4a5", "42addf9ec162f6b5bb91e65f443974374b0f6a8a7b5de839b02bc71a6be3d891", "1ecb998efd0d1e604085771cca8e8c791a5e358b42a0d577ec7c453c3c3bd289", "2c0fed1fb414f19357964c2d3a694bc9410785a8595272f5e51d19767f581ae1", "f75ff7b136dfc3501f4c12a7a1abd88fedb0605b2baaef9d00888913f9df8ea6", "f5a3b11cb1bb261263655024c8fa31b789273171a87bb0b457bee77ec17ed483", "aafe9b014385e20042d29487f69e1107a8a3b202c99111d102aa1bd222a54363", "8fe5a1c63df4c3c37a498229f3a511700289b38fbe70e05fc55e31435ccd423f", "4cbf0683e6cef532e49f25d1b2da2226d0c6713a50adb99eca0556b6d162698c", "d3af760c17c25923c9f68835ab944f00fbee221cc01cc5fc6bd1f86facd4de4e", "df45fa3bbc90d9047909fe8f3dbd66d0e8603195833bf42343b00e51516e9c88", "08e751423d7638ad1408f3323379a6f0cd6ff8e7ff7a32e2718f0e19b3a0c525", "50be7364fc13778c3492993acc05c6d126c7e40d05635a1916f334a7ccadb502", "94142589d24ef1a99598e10a7b2abd08e684d7c89003dda16bf4096e841c9afc", "aa9afee50233cd307b7b188484dbf39c1ace9fc984f40fddbacb751e6b93e4de", "58552658b4efb9161c60d093635285bfc7918ad19489604ce2c0d987de5ec293"]}, {"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 80 CERTcoins to b3902a40a72d999765e3997331945e112f817d71e1b491fb1f0811539e3d7d4c", "signature": ["2e24486d4e75c57bda5bb5c9f7983cfb7a0ea332b804e9fc4987854a692b7ae0", "6bbd28b07cbb787d71bc3cb9b48669dcd418879227fb3242b1e6f3706c24de38", "25c29dc69d85c92b34d905bc3902dbb02419cb662a4b5ce74b93b20eb79fed0d", "4651d9bad5c3bda9e66eeeae0d4ea198a0461cbbe2c9c5d3104d62038fca8344", "7ba1aa0d147824c49c012aa747cd269d50f554f626bf8ff15caeb8b007ea305a", "9402a2215cf332620ab63d17ba9b35701dd73e5fda466022e67303b16d1d1100", "130a4abe3adb74b80657d00e69360279e2fbc27014474957e0d1682c0770114a", "2d8a6346363be31355b3b13939038ff398841233b37fc84328dcf64a7feefff9", "b9c8076ab7428e502157f437b8a22dc1b7568786e8d33941f2410920bd442a54", "820b7c21dcac1140673545634f468bc950bbbb569dddd6ae5d226b9f12183806", "8574dad1c002e01a4fa74c534a4e274af98c397925c3a0e93e1013856687d610", "f16fe329518822e5a7501e51bf9b7ff3175bc646aa93246fe7a21db4dcd24654", "1ee48c1a430bc6da1e2ff56d9ecca851dc315933fbefb5bf1d9a22e04a5a1e8a", "b82facac10d141ac462e72981f3d70d542fd1952b574a64e7fb2440ef100fd79", "30715ae1b4bb0907cc0b2f2dcaa19d9a7d5b4d2f4e4408be4cf85c42024e2a87", "12f05af4cec2eed06e8c46072f0a4b2e62812cb9e83f175a9c95ed72d4529e69", "fdfd06e51eb612c5c61be7cb4562319e2381e7c2139adcd2eee89a0011c47055", "d65e613a86deb861d0552bd1b6a6d9b1b93062a8080640318a8f221671aff829", "a1b2296cb6dcebc076ad357a65d30581ad9978a72420b008791414d7a24e8867", "0ee89bf9e0baea2648703d688445488d9adc171c6636f1fc151f34170d7ef816", "b1fc791bb59a0dcb900e0b91f9e6be0b33b8d48d42ef75ee6840b90c21a46af1", "27fe5df1fb2fbc6166fd556658bcce6a3ed3157b7e1f12eda538af445d5dd61e", "f84a9b21e38da8576125f461b106d3ebd5af6666bdcd6b6308ac0be17bcb8767", "539c26c744a9b9c6b38df5fa56a53a1a1d2604eaeb06e93f9f207d4e663ed2a9", "4a15c3aedb34ff5d551551f81ced1187b513c7ce9534e81084df4bd0f162818c", "d5c3f206a06ee0718c5c310b5b3d7c184de00fa8c0c2142e2586580fc7612635", "d13f7da690dfa671e7cf9203ad1eb973cb9fba8db896f5b55e687caa954403ad", "5c917eef9aa93dee77ec9bd7a4d4538bd0b885f505e1b1a8863d67d1da5adb10", "fb46059205068c54a9753efd7e4bd9c08e19d3fa8f53d4990792e1b2e7db8ab8", "ef8886892e38bef1fb3a8ec4f239eb667310688cc53362f9f6199bc38eb93ab7", "1270d6918a4610e41578f0470944ec23ea06217a73141c00f43cd7db57ac9765", "9c724cb010521a386872ee3dc47fe0a8e5537574d06493d281191d93a1710d20"]}, {"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 36 CERTcoins to d636564e1c9a7c8deda4b82f299294e7f59b8c989a8fe19e8596c5e3b52a8312", "signature": ["498305447970b4b42d46083aa42b30a29396edc6a8a006e0678c8f882d3d4c77", "b8cb53d3562414cc1968f4e60c8c4076119fcce209c55a57560ea96e9974f9b4", "19e8e5171559bfacf625a6cf9199fc6c3a431fb0ff6d4d22eb3fb64ec2f632ed", "6b68ff3f383ce6abad29880ff88342456e1d2e7a3858b905745b8845eda0e0bc", "7566492344e7a097916a8e6e730d8d63e7fe2e21724306f3d3c17334015db502", "cf5256199f447f6debb90fdd39517cf61d52f129c183ab65b4060a267973a410", "b977e9bcc4100a75dd94d55bdd17ff1e0364054e1f889036bb8f3fa711152ca1", "12239414ce28fca5e0ed70f32d626b33723da6a3ec9515936b2a2565d2d066d9", "37168576873c5b8f5d43a2b4a0b58761d0df4ba6baec2ca868f991d48ef90e7f", "1b5ddf97249710938ae057b6dfdb89a1ec9c82d96e0bdb7e4a73041e4151e477", "7e11d584669fb16728104d793418247bdddb0eedea891121dc79ee6ba677836c", "4d91d7366de19f6b0bec5d26c99f947a1b6b699706d1e6019f39d76523b224bd", "87ee4b630d8499cdaae71af127f1154904eb4f67ed88344938dc04cd3682e753", "8f1fb263c317e603af35f6ca87102201b3aa02a0daf9b4da03e4de56c190f083", "c3e42b0a840cb7a2577e3419e9e416458e66ada4df57a8db9e32555a82fe4d14", "0bc73bc4df784e6eddcea9b4941a7d71ff066808098bfe35617e0488c70ffa53", "7fb326e0375210f0ba342389004b53bf1640fcac987b68fac69bf3b941a5dfc6", "78474d41ea330194e47825ee0d42c8b885a96d8c605708bd8cc5c842700d47a8", "5c5a09fdac2d5d9160f21712dc49e9f635e8da6cc213f76d3620589ab3716ecc", "6e38e760e4c4a42aff32c53a6967a69b74c20461f42c3158ff0ad6f5f85e81e6", "d8eac02b0077e33329145b6c8a459d4645cddcc75f3c85649e40c1cb365a0395", "f41c65fddd438e77af28a86ab5cff04de8a4f029a2468c66b314cd38031980f1", "027d2852aa8b69a7092b16993dded9ebf4fc510b241ee243e56f42151ee060c3", "d24a61dcd6440ea70ef0772bc858f6e6a31659b88d5d81253e45b38301698d79", "7fe58a47958eb07b6b9ae3bde936be58d7d44589c8083a4eb0738fbbb41d3d78", "de4c13ef55a4e6821b0a38a8707672297fc8ff1af2dc11b9387dccb381ff3f99", "58df6a05184ad44b819aabb5ccfb16e7615ae24653c879837da1081d315ee2cc", "3942ebef806d4fb6ff74a6ada36828c2baa572f0b2f314839602fb8b5a995dfa", "a352baa1cd3fff5ae2e17a2c25dcd0399f9e0c6b108326f65bf8b96413396824", "0593f2ac92d6d930f35b4593d294af24d7baf1327b7e4256ce3d7253e2ddca16", "65e6a8b2c28d27c16f393783bb1b28dd0a44bac53169a7523792cb326c56bf73", "6d7716987927aabbbb53cd0212e574bd2f55d998815576026f44213eea78446d"]}, {"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 90 CERTcoins to d1fda0f79ead0c7db20728edf7d6fa34b762042a8c8e12bc39e6c821ab83e10b", "signature": ["528b3b01bd5794b7d9e90419c501bb42db8163b109bbc2f8fb90e35f29441bd1", "0d595854abfeaae094c06b9e2fd43790471639410e6d65e6974e037b53938a97", "e5e7e8514000f92c52bea466f1a3bd86ca5a29a302ba87cf7f74afcf5cd0aba8", "321688087054c9e53cc39c7f5c920a1b088410315043ec7d54b20fe07813b7fe", "0360a933f46c875ce31765edbb3dff3210c0f558add6db4f5f7d8f254388f67a", "6707f07017ee45405c4fce56546516710866c0bc503aa34d38907254c0e93e5f", "b52d9a462d336f5e22d6f100b4887b81b36b3ef02f9919e0f92d6d327cf58a56", "18c2d47c52a227ffe9f0be2870875549f7b9e3947d07f586b8901ee79ea96cd7", "060601899a2b4ac8490c87a610b403615e69281d741ba736f49302e2e4e2b17f", "46407a93510290f3d926673280b6d00d7186b881f1c8b1208e42831d1ea89505", "fe3b6f3c1b88b01ecd3c12b8f26d2814f71cd72020a7551e11fb9614b1ae4f76", "252d570f874846a9f9e6759967dfe7b647b406c83557e9486e6d334d0456d6b5", "bdcaa626fce96d2b07d4d13af080142e9ab0337969b06c87070949dde20b8d0b", "83e4043c4e6122077df934d11d6d7084c4de87f95475fb5c21bdbc21a6c13991", "091de6c5ce5a5b2da94555e97d24b75e13eb2303fc2c2b609b8dbed272dc77f1", "3b84625d16c1ad3168bcb477d97bd9ee2eadd929704c9a7cd455c7a3f295f1af", "99174f18ee05cb41aee45166af151b5b5d4df5fb75de2e32bfa2a1b4fd120d01", "d49bbad08b9e62ec91cbdee0618b26adced623445a819d485d4f40cef7720595", "5a092a4ae57115e7483a5891c230bc27e8843ff2d1435065c77a121e60863cfd", "9b7ef85898caccc76d71b41404d09bfb202beca79372c473e602408c6f1b8cd4", "4df65a00f90b76cf3fa533d8e30c08eedcde51b56a0d0fd3e642ec73f272342f", "41f300700de228dd85281c1e52b171f605e3b14fcf72a9422e2fe15bc308935b", "0fed93cc9c8577fdebdfae5be285fd74f2a9fb29a5c86bbe54afba89cfbaf49d", "11af7ae50ab423b679d349ef0b27576f23227435a9f0acf158bc7afb188cd42f", "ea81da3aa12da0a11c47ad80768621b7459c0eac073bfaba353d15e59e907b98", "ba57c7062c4d7a7444f22b58ec1b181f99a44e5eb40303bb4a5d46cd86047088", "ecdd643e2306c1de22b705445c134d7ff5a1a6001ba7d767ea48bbe16d70673d", "735dd9afb0aa3f49b3f125c457e953307038a2a3284623ae5ec060608b57a79e", "f3c77ea71e27475ec7ed002c3a54040e2db01d61ec8c98a8abed79c6ebeb7280", "f88f715753af3c903bdfcdb76f31d9a29799ac7c6d522779e3658edb5d89bdc3", "aa9afee50233cd307b7b188484dbf39c1ace9fc984f40fddbacb751e6b93e4de", "6064199e327f4da81a8c943de372f5f8796d9cb18cc29f3062a74bada4240ed8"]}, {"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 131 CERTcoins to 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"9dc76861ca78f321018a46ddb53b6b7762ffbcddedae4de6c1a27251763a9c22", "8586c66c37794d4d71d8123b36e0a43286dccb079bf7b62335f97dfb40e7943f", "d417b86c178fdbcc753754d93b8b3dfee167e9497896020fff214ee6d6ae3f19", "99477ceaee7b0402e817154938122d7a7fc78426b0163573a0a7c0c3c7dc60ba"]}, {"message": "afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0 transfered 189 CERTcoins to 0cf7246598bccfae50de41b33d76ebe69590eebaea342c7eb6d5b4a81f506de8", "signature": ["22a6caaeaa903ac429380dbf916fb1eba96ab6473ed48582ad43217332526d78", "2c5192f2cb8f9a67e048861cbdb0419a6037875763d15e6e96f6885192d00919", "f8acef254cf66de66ac454f7b6eefbbc7917eaed631058dbd9875dc27d5787cb", "d020416084e6b76b197913896b528beae4f4a4fc027795643487e27a0201b466", "50af4fd71dabd2e751d8b584cf01e69e6ec979a67906a85ec3a2c242f4cf8818", "caffd1f2cd5d350e0981fb5a1519321802077e14e6da948812fc770112d211b9", "7da23233875ed3c1cbee1e2a291bbece7b3cb2f140b9882c6d620d6c021f428d", "1bf063109430144227f4d0374fda73dfb469effa9f5b77891b9a7b474cf4e6d1", "34ed630db563be2d5304267b5b89d5df16d1345ca2f9173e6fb3dd3bfa670de6", "b38a30a19341c3b9a38f9f00c7958e74299dd015246945bd258347b8bace34e9", "e3c196a462fbe7f4b8720d31b751bab24a8e8656e1c3e321943025589043c8c2", "eebf5a1a885d75de0a21968e3df6c582f313b163e5bd1ea569a80fdd752481d8", "837e3739d24b18f96d44b947aaaf1df926f70abd2a6aedf1b846098c22bb58de", "7ebed9677ae10dca5c796960c9dede566c394b321838e7eb106d785989b4a987", "c09c629db29a25449ab8860685152b4632596268cf91aa4813cc1c4408310026", "032f1ff7e0a03f62ce13c9b16a47a38d1ae6c6d81d6b285c2ee3cb65192d3d37", "99e08eea5b2798f3d9d4eec289db1fd42f4450e7934d3d712e87737e62fa776d", "2a15ca62477501984e5c2f01fd69e4c4ab42dea1f5b0824e8510f99329db8321", "14ceeca7dbd52a31090169ac2796415367ce0272c493485df5896811a7e63d3e", "3d71451c8048c5e3663b620d5e5221a23ce86d950d709b3efa27160e3f796feb", "ee6a902d2b30396612de2bfe0a87748bb28007d3adc23cb9f0c5cc39bffee9a8", "ad873380a0111e979ba8217dc6a5c5ebd71ad9dca7f1d4e8841f830353637912", "10bd3769097ecf0f6f5170e7fa51211dd9d7bb1212af1a4838f0bf9270c9903b", "8fe5a1c63df4c3c37a498229f3a511700289b38fbe70e05fc55e31435ccd423f", "2177114192dd6d7ed9449feb4218c4b86117d71c7a5083402ffe191d3c16ea52", "9291c96eb78cba53a7f400492d8159551850744c3f404485fb0033ed50312179", "f5624b4b52effdd88c423940008a4dd4053af60063d3dcc544eeadedb25a9831", "7687f69b7a148d77100243b8cf7d913c500b09af667ab8fbafe0ffded0f91897", "03952bdfb23ee6ab09604c72093f846c1585d01f96167f7b34edb654d5bf31b4", "064556f0b762c878a1bdb9b3a017610136bed6cbb2b315dff389f431f1b2648c", "498206950cb97c9b341022a1a358c63ee7ea4501ae323246270176caf0fe3afe", "9ee5451006ea028ff3278edc4f030597066fdcd0b92b142a713579337e891192"]}], "public_key": ["afd43c3e9c1c09118d051e9d31a678fa96b5b3182fa6a6628b0c79f0424ebdc0", "713f29cda55908c55ef071da18157c80227c4a8587fa53a496bc7cc3451fadc4", "8b6dde9408eb90cc55a0f7e8bbf3a8c0c2c0e8a4c0a0da6373a0a30fa18c1892", "379f3894d39d3982562e9c5ccda397d09f61d8fbcaccbd7149f997848b475626", "3f5bcca389878576f21f7fe35160cfe2e0c330f9d0600b22fc92df9d76527320", "6e6c33389db39ef15488f5a523cc335bcb003f403e64a75383814a66d00e3eff", "0043d19eec3f08b5a0c7e8af8e144275dd83a4b4db17363073cfb7b8cd9801ff", "eb9fc2ce69b2d342953f72a35025783734c7f2f5b2909a9d4cc1a4b4801a708b", "6a427b92bb6b589585fb5ce14b55701b429da9ccd9f349c5fef5c1d8ea83ff14", "d103c4aec578fc0344bdd18d187b84a944dd1516656e2c27ee58cd0e23aa3b80", "f46a16130c23a5233e02e4af7787ed713c05321d277e4f1da9ec354800cc4b10", "e0d2b5ca91c97248defb90338abf43384dddf3b1444304254ae6af61cb884950", "d013e20cec79a20ee0409c718d88b3533913425950bc58ad03c9c5e4cc0fb43d", "f3accad50962e99fa7a6630ff93f262c1576f465dc9a975f4a157bf905aca686", "74a6afe6b7c458c8b73ac9c4e3cce14ae97cde8132945d88f5c8053fecfda073", "2c6f1fc31c918443e9e56e8d674e2def341f88f3df77eeb1cef21ea734d7faa5", "7f1634a7c9f6a9053c0d3b3eaea1e9ef6ee97b69b24cb1e391fc8fc11fb65a67", "902e9d50881969e785f3f92ecc3d51d1f91ed62994a492fa08f6a95ecfec082b", "1b5571e5a1ee23a2fc0a978af6aa9cbb457d63ca63a299ab78780099b044e30d", "e77f93dfa7f64f4b281ac7dc5a43c7713fc7e4dd346bfb898ce0bf5d3ab0ca28", "cadb672b394b5a9674765b27b65d60a54e5c1f554e3ada372b632bad80c6b3b3", "b3b72e1a42e597195bbab11cad77f671aab2b9769264335f9b9bb6eac4690d68", "4e3675fbf23ddd89152674d7a79fb7caddd107b0bf55f440302a69b0c089de7a", "b6697049d4c6f3e83bacef57c4bc14cc1c34b3be658a215decbbe55797d011d0", "55147d1c295227e6f654caa3307463bcf1dc7652d98abfd9338ab5f43bd90807", "58c99a316d367f92da25fba833fdb085ce386aac30f63d2fd37b33cbd12e0c5e", "7588fe6ed948be47448c44c2c6594958b316766f236b5bc50916ec8a04d413e2", "50c9c6041f25a26d9620fa820c647cf978b99fe9d6331d7585fdc9b5dbde31ac", "aede15ace5fdc783beeeb95f0ccd4863a56dd547652f6fe1117759cbd29eb558", "70b4bda072c75127f5ebbfdffa5c39b38b1ddbb211e86fea16fafd295962ad45", "102d740f015169e9af60d375fdae31a77272a2cee023508c75caac87eeeba49f", "04b5f4ed03fa6918f6e681af8c23027ff4323eba1d344d4e23a008e16aab5c4d"], "iv": "cb41722b75cf975e5222d4c23eb1d51a", "enc": "031ce82c5562f165ad0fde8649faf69bb68ccfc39e3c3ac1c7820a4e71fdc962"}

import json
import hashlib
from Crypto.Cipher import AES

# Load the provided data
with open('../data.json', 'r') as f:
    data = json.load(f)

# Reconstruct the target message
pub0_hex = data['public_key'][0]
message2 = (pub0_hex + ' transfered 999999 CERTcoins to me').encode()

# Hash of the target message
h2 = hashlib.sha256(message2).digest()

# Parse the given signatures and their messages
signatures = data['signatures']
hashes = [hashlib.sha256(sig['message'].encode()).digest() for sig in signatures]

# Forge the missing signature by leveraging reused OTS keys
signature2 = []
for i in range(32):
    target_byte = h2[i]
    # Find a provided signature whose hash byte ≥ target_byte
    for j, h in enumerate(hashes):
        if h[i] >= target_byte:
            delta = h[i] - target_byte
            sig_piece = bytes.fromhex(signatures[j]['signature'][i])
            # Hash forward delta times to match the needed chain length
            for _ in range(delta):
                sig_piece = hashlib.sha256(sig_piece).digest()
            signature2.append(sig_piece)
            break
    else:
        raise ValueError(f"No suitable signature found for index {i}")

# Derive the AES key (first byte of each signature piece)
aes_key = bytes(piece[0] for piece in signature2)

# Decrypt the flag
iv = bytes.fromhex(data['iv'])
enc = bytes.fromhex(data['enc'])
cipher = AES.new(aes_key, AES.MODE_CBC, iv)
flag = cipher.decrypt(enc)

print(flag.decode())

import random
import json
import csv
from math import prod
from sympy import isprime, nextprime, divisors
from secret import flag

bits = 32
primes = []
while len(primes) < 12:
    candidate = random.getrandbits(bits) | (1 << (bits-1)) | 1
    if isprime(candidate):
        primes.append(int(candidate))

N = prod(primes)

offset = random.randint(2, 5000)
base = N*offset + 1
p = nextprime(base)

exp = (p - 1) // N
g = None
while g is None:
    a_candidate = random.randrange(2, p - 1)
    potential = pow(a_candidate, exp, p)
    if pow(potential, N, p) == 1:
        is_generator = True
        for q in primes:
            if pow(potential, N // q, p) == 1:
                is_generator = False
                break
        if is_generator:
            g = potential


flag = b"SK-CERT{REDACTED}"
x = int.from_bytes(flag, 'big')
assert x < N, "flag too large"


divs = divisors(N)
F = {}
for n in divs:
    total = 0
    for d in divs:
        if n % d == 0:
            total += pow(g, x * d, p)
    F[n] = total % p

with open('params.json', 'w') as file_1:
    json.dump({'p': str(p), 'g': str(g), 'N': str(N)}, file_1, indent=2)

with open('values.csv', 'w', newline='') as file_2:
    writer = csv.writer(file_2)
    writer.writerow(['n', 'F(n)'])
    for n in divs:
        writer.writerow([n, F[n]])

{
  "p": "24543926533640002647957367866857207914306117049983697556799269232027004353932658074554559267003250607939288726496967",
  "g": "2078132001926017604748032590856030624252738363341625757437676864936624505324989739084558861915765841155338265586523",
  "N": "314665724790256444204581639318682152747514321153637148164093195282397491717085359930186657269272443691529342647397"
}

#!/usr/bin/env python3
import math
import json
import csv
import random
import argparse

def is_prime(n):
    if n < 2:
        return False
    for a in (2, 7, 61):
        if a >= n:
            continue
        if pow(a, n-1, n) != 1:
            return False
    return True

def pollards_rho(n):
    if n % 2 == 0:
        return 2
    if is_prime(n):
        return n
    while True:
        c = random.randrange(1, n)
        f = lambda x: (x*x + c) % n
        x = y = 2
        d = 1
        while d == 1:
            x = f(x)
            y = f(f(y))
            d = math.gcd(abs(x - y), n)
        if d != n:
            return d

def factor(n):
    if n == 1:
        return {}
    if is_prime(n):
        return {n: 1}
    d = pollards_rho(n)
    f1 = factor(d)
    f2 = factor(n // d)
    for pr, exp in f2.items():
        f1[pr] = f1.get(pr, 0) + exp
    return f1

def discrete_log(a, b, p, order):
    m = int(math.ceil(math.sqrt(order)))
    table = {}
    cur = 1
    for j in range(m):
        table.setdefault(cur, j)
        cur = (cur * a) % p
    inv_am = pow(a, -m, p)
    gamma = b
    for i in range(m):
        if gamma in table:
            return i * m + table[gamma]
        gamma = (gamma * inv_am) % p
    raise ValueError("Logarithm not found")

def crt(residues, moduli):
    x = 0
    M = math.prod(moduli)
    for ai, mi in zip(residues, moduli):
        Mi = M // mi
        inv = pow(Mi, -1, mi)
        x = (x + ai * Mi * inv) % M
    return x

def main():
    parser = argparse.ArgumentParser(description="Solve the Möbius inversion crypto challenge")
    parser.add_argument("--params", default="params.json", help="Path to params.json")
    parser.add_argument("--values", default="values.csv", help="Path to CSV of F(n) values")
    args = parser.parse_args()

    with open(args.params) as f:
        params = json.load(f)
    p = int(params["p"])
    g = int(params["g"])
    N = int(params["N"])

    F = {}
    with open(args.values) as f:
        reader = csv.reader(f)
        next(reader)
        for n_str, val_str in reader:
            F[int(n_str)] = int(val_str)

    gx = F[1]

    factors = factor(N)
    primes = list(factors.keys())

    residues = []
    moduli = []
    for qi in primes:
        gi = pow(g, N // qi, p)
        hi = pow(gx, N // qi, p)
        xi = discrete_log(gi, hi, p, qi)
        residues.append(xi)
        moduli.append(qi)

    x = crt(residues, moduli)
    flag_bytes = x.to_bytes((x.bit_length() + 7) // 8, 'big')
    print(flag_bytes.decode())

if __name__ == "__main__":
    main()

p = 298211241770542957242152607176537420651
a = p - 1
E = EllipticCurve(GF(p), [a, 0])

G = E(107989946880060598496111354154766727733,
      36482365930938266418306259893267327070)

P = E(72947667249607227642932393260968830921,
      261432642373021661017738970173175343657)

r = G.order()
assert r * P == E(0)  # sanity check

k = G.discrete_log(P)

assert k * G == P  # sanity check
print("Recovered k =", k)

#!/usr/bin/env python3
import json

from Crypto.Cipher import AES
from Crypto.Util.Padding import unpad

# — Curve parameters from main.py —
p = 298211241770542957242152607176537420651
a = p - 1
G = (
    107989946880060598496111354154766727733,
    36482365930938266418306259893267327070
)

# — Client’s public key from cache.jsonl —
client_pub = (
    291216048318375702409990419027018106946,
    219380392381458352976435257541531938506
)

# — Recovered server private scalar k —
k = 37041828426322252952359931953705367198


def modinv(x, m):
    """Modular inverse via extended GCD."""
    lm, hm = 1, 0
    low, high = x % m, m
    while low > 1:
        ratio = high // low
        nm = hm - lm * ratio
        new = high - low * ratio
        lm, low, hm, high = nm, new, lm, low
    return lm % m


def ec_add(P, Q):
    """Elliptic-curve point addition on y^2 = x^3 + a x over F_p."""
    if P is None:
        return Q
    if Q is None:
        return P
    x1, y1 = P
    x2, y2 = Q
    if x1 == x2 and y1 == y2:
        if y1 == 0:
            return None
        s = (3 * x1 * x1 + a) * modinv(2 * y1, p) % p
    else:
        if x1 == x2:
            return None
        s = (y2 - y1) * modinv(x2 - x1, p) % p
    x3 = (s * s - x1 - x2) % p
    y3 = (s * (x1 - x3) - y1) % p
    return (x3, y3)


def ec_scalar_mult(k, P):
    """Double‑and‑add scalar multiplication on the curve."""
    result = None
    addend = P
    while k:
        if k & 1:
            result = ec_add(result, addend)
        addend = ec_add(addend, addend)
        k >>= 1
    return result


def int_to_bytes(x):
    """Big-endian byte representation, at least one byte."""
    return x.to_bytes((x.bit_length() + 7) // 8 or 1, 'big')


# 1) Compute the shared EC point S = k * client_pub
S = ec_scalar_mult(k, client_pub)

# 2) Derive the 32-byte AES key from S.x
shared_key = int_to_bytes(S[0])[:32]


def decrypt_log(filename, field):
    """Decrypt and print each JSONL entry from `filename` using AES-CBC."""
    with open(filename, 'r') as f:
        for line in f:
            record = json.loads(line)
            blob = bytes.fromhex(record[field])
            iv, ct = blob[:16], blob[16:]
            cipher = AES.new(shared_key, AES.MODE_CBC, iv)
            pt = unpad(cipher.decrypt(ct), AES.block_size)
            print(pt.decode())


if __name__ == "__main__":
    print("== Decrypted received messages ==")
    decrypt_log("cache/cache_recv.jsonl", "recv")
    print("\n== Decrypted sent messages ==")
    decrypt_log("cache/cache_send.jsonl", "send")

S = ec_scalar_mult(k, client_pub, a, p)
key = int_to_bytes(S[0])[:32]