YauzaCTF 2019 Quals Writeup

この大会は2019/4/14 0:00(JST)~2019/4/15 0:00(JST)に開催されました。
今回もチームで参戦。結果は2565点で195チーム中25位でした。
自分で解けた問題をWriteupとして書いておきます。

RSA BlackBox (Crypto)

実際に接続して、試してみる。

$ nc 195.19.44.145 2525
Please, choose one of the commands:
get - to get encrypted message
enc - to encrypt message
sig - to get digest of message

get
Encrypted flag (base64):
j/V6tVj7Hfnp9jnbqbXsakbfSn0e4pWscs0x9FwMPkuRbBqbxri/o8TyXMKG8VSmWJtOt1YDjgS2hvKGWWBlgNQ1xJ9abfh3hzuJHt9aTLX8wsPQa7bjCqJeZ1WFgkZlz+/SLgc48lzGhG412WRMEjtvfB5zndHzGIbYQ44viZdYYEOYlp/T3BDikRQIflhvSwKscTUrBI/Q4OQQqxEVj539M+F0u2Jn0bz7Vk09Zq5VSQjy/RvPHKEBv8z9o9R4mh4y45/vzycJLjwGqr0KbK1ueLFmokx4jhjZ3RD4L4+17cNP2hGBxxJiovA1PQqeu6RGmiXrA9y1ZqKm7ZsB3Q==

Please, choose one of the commands:
get - to get encrypted message
enc - to encrypt message
sig - to get digest of message

enc
Please, input your message to encrypt (ascii):
abc
Encrypted message:
nL5wkXhHOlunlqpqhHsOIfmB09Byp/jBoMj+wQLwVvRU+VszN9g9NiFcrCPdJlRyYUDBGKk9VZVQQkbHrSdUcZWTFCp6HuNxqiV7TKixRvS/UnP7iW5vs80oCFOcrjMV9HJUbqTjPe12NWLOp7W136T3j1uFXKeqLSXGXmyPKN1DL63UjUzn6KLItSNakkB+YtDZddzqkt6ccz0J0gMtNt/3tIiKRrdxH/DcSZqXY5CBmWVYdtnDiT7716zPAKzN+wCC9132sEQPIsK1bNZ9NPmoEYNM0+7TUhMSvDzY77zlCTZqv6Sgwy6r9ODVRQC7sVLmlPId2wxHbdFABPTwew==

Please, choose one of the commands:
get - to get encrypted message
enc - to encrypt message
sig - to get digest of message

sig
Please, input your message to sign (base64):
nL5wkXhHOlunlqpqhHsOIfmB09Byp/jBoMj+wQLwVvRU+VszN9g9NiFcrCPdJlRyYUDBGKk9VZVQQkbHrSdUcZWTFCp6HuNxqiV7TKixRvS/UnP7iW5vs80oCFOcrjMV9HJUbqTjPe12NWLOp7W136T3j1uFXKeqLSXGXmyPKN1DL63UjUzn6KLItSNakkB+YtDZddzqkt6ccz0J0gMtNt/3tIiKRrdxH/DcSZqXY5CBmWVYdtnDiT7716zPAKzN+wCC9132sEQPIsK1bNZ9NPmoEYNM0+7TUhMSvDzY77zlCTZqv6Sgwy6r9ODVRQC7sVLmlPId2wxHbdFABPTwew==
Signed message (base64):
YWJj

Please, choose one of the commands:
get - to get encrypted message
enc - to encrypt message
sig - to get digest of message

    :

$ echo YWJj | base64 -d
abc

それぞれのメニューの処理はこんな感じ。

get: 暗号化フラグを取得
enc: 指定メッセージのRSA暗号化
sig: 指定メッセージのRSA復号

encを使って、nを求める。そのあと、getで目的の暗号を得た後、sigでRSA LSB Oracle Attackでフラグを求める。

from Crypto.Util.number import *
from fractions import Fraction
from base64 import b64encode, b64decode
import socket

def recvuntil(s, tail):
    data = ''
    while True:
        if tail in data:
            return data
        data += s.recv(1)

def egcd(a, b):
    x,y, u,v = 0,1, 1,0
    while a != 0:
        q, r = b//a, b%a
        m, n = x-u*q, y-v*q
        b,a, x,y, u,v = a,r, u,v, m,n
    gcd = b
    return gcd, x, y

def lsb_oracle(s, cipher):
    send_data = 'sig'
    data = recvuntil(s, 'of message\n\n')
    print data + send_data
    s.sendall(send_data + '\n')

    send_data = b64encode(long_to_bytes(cipher))
    data = recvuntil(s, '(base64):\n')
    print data + send_data
    s.sendall(send_data + '\n')

    data = recvuntil(s, '\n')
    data += recvuntil(s, '\n')
    print data.strip()
    sig = bytes_to_long(b64decode(data.split('\n')[1]))

    return sig % 2

s = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
s.connect(('195.19.44.145', 2525))

#### calculate n ####
try_rsa_enc = []
for m in [2, 4, 16]:
    send_data = 'enc'
    data = recvuntil(s, 'of message\n\n')
    print data + send_data
    s.sendall(send_data + '\n')

    send_data = chr(m)
    data = recvuntil(s, '(ascii):\n')
    print data + send_data
    s.sendall(send_data + '\n')

    data = recvuntil(s, '\n')
    data += recvuntil(s, '\n')
    print data.strip()
    enc = bytes_to_long(b64decode(data.split('\n')[1]))
    try_rsa_enc.append(enc)

diff1 = (try_rsa_enc[0]) ** 2 - try_rsa_enc[1]
diff2 = (try_rsa_enc[1]) ** 2 - try_rsa_enc[2]

n, _, _ = egcd(diff1, diff2)
e = 65537

#### get encrypted flag ####
send_data = 'get'
data = recvuntil(s, 'of message\n\n')
print data + send_data
s.sendall(send_data + '\n')

data = recvuntil(s, '\n')
data += recvuntil(s, '\n')
print data.strip()
c = bytes_to_long(b64decode(data.split('\n')[1]))

#### LSB oracle attack ####
bounds = [0, Fraction(n)]

i = 0
while True:
    print('Round %d' % (i+1))
    i += 1

    c2 = (c * pow(2, e, n)) % n
    lsb = lsb_oracle(s, c2)
    if lsb == 1:
        bounds[0] = sum(bounds)/2
    else:
        bounds[1] = sum(bounds)/2
    diff = bounds[1] - bounds[0]
    diff = diff.numerator / diff.denominator
    #print diff
    if diff == 0:
        m = bounds[1].numerator / bounds[1].denominator
        break
    c = c2

flag = long_to_bytes(m)
print flag
YauzaCTF{DazzlingCleanlinessOfYauza}

enJoy! (Crypto)

rtfを開き、全データをコピーし、codes.txtとして保存する。バイナリを見ると、先頭と終端の2バイトずつを除き、2バイトで一組になっており、\xF0を除くと、printableな文字列になりそう。さらにBase64文字列と思われるので、デコードする。またBase64文字列になった。何重にもエンコード、暗号化されているようだ。最終的には最初から以下のような流れでフラグが得られた。

Base64デコード→Base64デコード→ASCIIコード(16進数)デコード→rot13→0, 1の図示(縦に並べ、上下反転させる)

なお、図示する際はrot13で復号したメッセージの中の「Tupper's self-referential formula」をキーワードに調べ、https://en.wikipedia.org/wiki/Tupper%27s_self-referential_formulaを参考にして、横106、縦17になっていることを使った。

with open('codes.txt', 'rb') as f:
    data = f.read()

data = data[2:-2].replace('\xF0', '')
print '******** 01 ********'
print data

data = data.decode('base64')
print '******** 02 ********'
print data

data = data.decode('base64')
print '******** 03 ********'
print data

print '******** 04 ********'
data = data.split(' ')

msg = ''
for d in data:
    msg += chr(int(d, 16))
print msg

print '******** 05 ********'
msg = msg.decode('rot13')
print msg

print '******** 06 ********'
msg = msg.split('\n')[5].rstrip()
WIDTH = 106
HEIGHT = 17

msg += '0' * (WIDTH * HEIGHT - len(msg))
rows = []
for i in range(HEIGHT):
    row = ''
    for j in range(WIDTH):
        row += msg[i+HEIGHT*j]
    rows.append(row)

flag = ''
for row in rows[::-1]:
    flag += row.replace('0', ' ').replace('1', '*')
    flag += '\n'

print flag

実行結果は以下の通り。

******** 01 ********
NTUgNmUgNjkgNzIgMjAgNmMgNjIgNjggMjAgNzIgNjkgNzIgNjUgMjAgNzUgNzIgNmUgNjUgNzEgMjAgNmUgNmYgNjIgNjggNjcgMjAgNTIgNjkgNzIgNjUgNmMgNjcgNzUgNzYgNjEgNzQgMjAgNTMgNjIgNjUgN2EgNjggNzkgNmUgM2YgMjAgNTYgNjcgMjcgNjYgMjAgNmUgNzkgNjYgNjIgMjAgNzggNjEgNjIgNmEgNjEgMjAgNmUgNjYgMjAgNDcgNjggNjMgNjMgNzIgNjUgMjcgNjYgMjAgNjYgNzIgNzkgNzMgMmQgNjUgNzIgNzMgNzIgNjUgNzIgNjEgNjcgNzYgNmUgNzkgMjAgNzMgNjIgNjUgN2EgNjggNzkgNmUgMmUgMjAgMGQgMGEgNDcgNzUgNzIgMjAgNzMgNjIgNjUgN2EgNjggNzkgNmUgMjAgNmEgNmUgNjYgMjAgNzEgNzIgNzMgNzYgNjEgNzIgNzEgMjAgNmYgNmMgMjAgNTcgNzIgNzMgNzMgMjAgNDcgNjggNjMgNjMgNzIgNjUgMjAgNmUgNjEgNzEgMjAgNmUgNjMgNjMgNzIgNmUgNjUgNjYgMjAgNmUgNjYgMjAgNmUgNjEgMjAgNzIgNmIgNmUgN2EgNjMgNzkgNzIgMjAgNzYgNjEgMjAgNDcgNjggNjMgNjMgNzIgNjUgMjcgNjYgMjAgMzIgMzAgMzAgMzEgMjAgNDYgNTYgNTQgNTQgNDUgNGUgNDMgNTUgMjAgNjMgNmUgNjMgNzIgNjUgMjAgNjIgNjEgMjAgNjUgNzIgNzkgNzYgNmUgNmYgNzkgNzIgMjAgNjcgNmEgNjIgMmQgNzEgNzYgN2EgNzIgNjEgNjYgNzYgNjIgNjEgNmUgNzkgMjAgNzAgNjIgN2EgNjMgNjggNjcgNzIgNjUgMjAgNzQgNjUgNmUgNjMgNzUgNzYgNjEgNzQgMjAgNmUgNzkgNzQgNjIgNjUgNzYgNjcgNzUgN2EgNjYgMmUgMjAgNDcgNzUgNzYgNjYgMjAgNjMgNmUgNjMgNzIgNjUgMjAgNzEgNzYgNjYgNzAgNjggNjYgNjYgNzIgNjYgMjAgN2EgNzIgNjcgNzUgNjIgNzEgNjYgMjAgNjUgNzIgNzkgNmUgNjcgNzIgNzEgMjAgNjcgNjIgMjAgNjcgNzUgNzIgMjAgNTQgNjUgNmUgNzMgNTIgNjQgMjAgNzMgNjIgNjUgN2EgNjggNzkgNmUgMmQgNzQgNjUgNmUgNjMgNzUgNzYgNjEgNzQgMjAgNjMgNjUgNjIgNzQgNjUgNmUgN2EgMjAgNzEgNzIgNjkgNzIgNzkgNjIgNjMgNzIgNzEgMjAgNmYgNmMgMjAgNDcgNjggNjMgNjMgNzIgNjUgMmUgMGQgMGEgNGUgNjEgNzEgMjAgNjEgNjIgNmEgMjAgNmEgNzIgMjAgNmEgNmUgNjEgNjcgMjAgNmMgNjIgNjggMjAgNjcgNjIgMjAgNmUgNzAgNjQgNjggNmUgNzYgNjEgNjcgMjAgNmEgNzYgNjcgNzUgMjAgNzYgNjcgMjEgMjAgM2EgMjkgMGQgMGEgMGQgMGEgNGUgNjEgNzEgMjAgNjEgNjIgNmEgMjAgNmMgNjIgNjggMjAgNzUgNmUgNjkgNzIgMjAgNjcgNzUgNzYgNjYgMjAgNjEgNjggN2EgNmYgNzIgNjUgM2EgMGQgMGEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzEgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzEgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzAgMzEgMzEgMzEgMzEgMzEgMzEgMzEgMzEgMzEgMzAgMzAgMzAgMzAg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31 31 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 31 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 31 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 30 31 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 31 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 31 31 30 30 31 30 30 30 30 30 30 30 30 31 30 30 31 31 30 31 30 31 30 30 30 30 30 30 30 30 30 31 31 31 30 30 30 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 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******** 03 ********
55 6e 69 72 20 6c 62 68 20 72 69 72 65 20 75 72 6e 65 71 20 6e 6f 62 68 67 20 52 69 72 65 6c 67 75 76 61 74 20 53 62 65 7a 68 79 6e 3f 20 56 67 27 66 20 6e 79 66 62 20 78 61 62 6a 61 20 6e 66 20 47 68 63 63 72 65 27 66 20 66 72 79 73 2d 65 72 73 72 65 72 61 67 76 6e 79 20 73 62 65 7a 68 79 6e 2e 20 0d 0a 47 75 72 20 73 62 65 7a 68 79 6e 20 6a 6e 66 20 71 72 73 76 61 72 71 20 6f 6c 20 57 72 73 73 20 47 68 63 63 72 65 20 6e 61 71 20 6e 63 63 72 6e 65 66 20 6e 66 20 6e 61 20 72 6b 6e 7a 63 79 72 20 76 61 20 47 68 63 63 72 65 27 66 20 32 30 30 31 20 46 56 54 54 45 4e 43 55 20 63 6e 63 72 65 20 62 61 20 65 72 79 76 6e 6f 79 72 20 67 6a 62 2d 71 76 7a 72 61 66 76 62 61 6e 79 20 70 62 7a 63 68 67 72 65 20 74 65 6e 63 75 76 61 74 20 6e 79 74 62 65 76 67 75 7a 66 2e 20 47 75 76 66 20 63 6e 63 72 65 20 71 76 66 70 68 66 66 72 66 20 7a 72 67 75 62 71 66 20 65 72 79 6e 67 72 71 20 67 62 20 67 75 72 20 54 65 6e 73 52 64 20 73 62 65 7a 68 79 6e 2d 74 65 6e 63 75 76 61 74 20 63 65 62 74 65 6e 7a 20 71 72 69 72 79 62 63 72 71 20 6f 6c 20 47 68 63 63 72 65 2e 0d 0a 4e 61 71 20 61 62 6a 20 6a 72 20 6a 6e 61 67 20 6c 62 68 20 67 62 20 6e 70 64 68 6e 76 61 67 20 6a 76 67 75 20 76 67 21 20 3a 29 0d 0a 0d 0a 4e 61 71 20 61 62 6a 20 6c 62 68 20 75 6e 69 72 20 67 75 76 66 20 61 68 7a 6f 72 65 3a 0d 0a 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 31 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 31 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 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31 31 31 31 31 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 31 30 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 31 31 30 30 31 30 30 30 30 30 30 30 30 31 30 30 31 31 30 31 30 31 30 30 30 30 30 30 30 30 30 31 31 31 30 30 30 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 31 31 31 31 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 30 31 31 31 31 30 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 31 30 30 30 30 30 30 30 30 31 30 30 30 30 31 30 30 31 30 30 30 30 30 30 30 30 30 31 31 31 31 30 31 31 30 30 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 31 30 30 30 30 30 30 30 30 30 31 31 31 30 31 31 31 30 30 30 30 30 30 30 30 30 30 30 30 30 31 0d 0a 46 62 2c 20 6a 75 6e 67 27 66 20 6c 62 68 65 20 79 6e 66 67 20 66 67 72 63 3f
******** 04 ********
Unir lbh rire urneq nobhg Rirelguvat Sbezhyn? Vg'f nyfb xabja nf Ghccre'f frys-ersreragvny sbezhyn. 

Gur sbezhyn jnf qrsvarq ol Wrss Ghccre naq nccrnef nf na rknzcyr va Ghccre'f 2001 FVTTENCU cncre ba eryvnoyr gjb-qvzrafvbany pbzchgre tencuvat nytbevguzf. Guvf cncre qvfphffrf zrgubqf eryngrq gb gur TensRd sbezhyn-tencuvat cebtenz qrirybcrq ol Ghccre.

Naq abj jr jnag lbh gb npdhnvag jvgu vg! :)



Naq abj lbh unir guvf ahzore:

0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000001000000000000000100000000000111111000000000000000010000000000000000010000000000000000011000000000111100000000000010000100000000000100001000000000000100100000000000011111100000000000000000000000000000000000000000000001111100000000000100000000000000001000000000000000001111100000000000100000000000000000000000000000000011000100000000000101001000000000001001010000000000010001100000000000000000000000000000111100000000000010000100000000000100001000000000000100100000000000011111100000000000000000000000000000111111100000000010000000100000000100000001000000001000000010000000010000000100000000000000000000000000000000010000000000000000100000000000000001000000001111111110000000000000000100000000000000001000000000000000010000000000000000000000000111111111000000000000100010000000000001000100000000000010001000000000000000010000000000000000000000000000010000000000000111011100000000010000000100000000000000000000000000000000000000000000000000000000000111111111000000000000000100000000000000010000000000000001000000000000000100000000000011111111100000000000000000000000001000000010000000011111111100000000100000001000000000000000000000000001111111000000000100000001000000001000000010000000010000000100000000100000001000000000000000000000000010000000100000000100010001000000001000110010000000010011010100000000011100011000000000000000000000000000000000000000000100000000000000001000000000000000010000000000000000100000001000000000111111110000000000000000100000000011110000000000001000010000000000010000100000000000011110000000000000000000000000000001111011000000000100001001000000001000010010000000001111011000000000100000001000000000111011100000000000001

Fb, jung'f lbhe ynfg fgrc?
******** 05 ********
Have you ever heard about Everything Formula? It's also known as Tupper's self-referential formula. 

The formula was defined by Jeff Tupper and appears as an example in Tupper's 2001 SIGGRAPH paper on reliable two-dimensional computer graphing algorithms. This paper discusses methods related to the GrafEq formula-graphing program developed by Tupper.

And now we want you to acquaint with it! :)



And now you have this number:

0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000011000000000000001000000000000000100000000000111111000000000000000010000000000000000010000000000000000011000000000111100000000000010000100000000000100001000000000000100100000000000011111100000000000000000000000000000000000000000000001111100000000000100000000000000001000000000000000001111100000000000100000000000000000000000000000000011000100000000000101001000000000001001010000000000010001100000000000000000000000000000111100000000000010000100000000000100001000000000000100100000000000011111100000000000000000000000000000111111100000000010000000100000000100000001000000001000000010000000010000000100000000000000000000000000000000010000000000000000100000000000000001000000001111111110000000000000000100000000000000001000000000000000010000000000000000000000000111111111000000000000100010000000000001000100000000000010001000000000000000010000000000000000000000000000010000000000000111011100000000010000000100000000000000000000000000000000000000000000000000000000000111111111000000000000000100000000000000010000000000000001000000000000000100000000000011111111100000000000000000000000001000000010000000011111111100000000100000001000000000000000000000000001111111000000000100000001000000001000000010000000010000000100000000100000001000000000000000000000000010000000100000000100010001000000001000110010000000010011010100000000011100011000000000000000000000000000000000000000000100000000000000001000000000000000010000000000000000100000001000000000111111110000000000000000100000000011110000000000001000010000000000010000100000000000011110000000000000000000000000000001111011000000000100001001000000001000010010000000001111011000000000100000001000000000111011100000000000001

So, what's your last step?
******** 06 ********
                                                                                                          
                                                                                                          
                                                                                                          
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YauzaCTF{NIC3Jo8}