DEF CON 22 CTF Quals: 3dttt
Unlike most of the challenges in DC22 quals, this one required no binary exploitation, no reversing, just writing a little code. You needed to play 3-D Tic Tac Toe, and you needed to play fast. Unfortunately, I didn’t record the sessions, so I don’t have the example output.
Basically, you just received an ASCII representation of each of the 3 boards making up the 3d-tic-tac-toe environment, and were prompted to provide x,y,z coordinates for your next move. However, you had only a very short period of time (fractions of a second) to send your move, so playing by hand was impossible. The winner of each board was the player with the most rows won, and it did go to the full 27 moves each time. Also, it’s important to note that the player always goes first, and that you have to win 50 rounds in order to receive the flag.
I chose this basic algorithm:
- On the first move, play in the very center of the boards (1,1,1)
- For each subsequent move, consider each available position.
- Consider each row that the position sits on.
- If the row has both X and O on it, award 0 – the row is a lost cause.
- If playing would win that row for us, or block a win for our opponent (they have 2/3), award 3 points.
- If we already have something on that row, or they already have something on that row, award 1 point. We’re either making progress or blocking.
- Otherwise, no points.
- Sum the row points for each position, and play in the highest scoring position.
I had no idea if this algorithm would work, but it was actually successful resulting in the flag on the first try.
#!python
import re
import socket
REMOTE = ('3dttt_87277cd86e7cc53d2671888c417f62aa.2014.shallweplayaga.me', 1234)
class TTT(object):
def __init__(self, host, port):
self.s = socket.socket(socket.AF_INET, socket.SOCK_STREAM)
self.s.connect((host, port))
self.state = [[[' ', ' ', ' '] for i in xrange(3)] for k in xrange(3)]
self._buf = ''
self._moves = 0
self._read_intro()
self._read_state()
self._print_state()
def _read_intro(self):
buf = ''
while 'Play well and play fast....' not in buf:
buf += self.s.recv(1024)
self._buf = buf.split('and play fast....')[1]
def _read_state(self):
buf = self._buf
while True:
if '\n' not in buf:
buf += self.s.recv(2048)
line, buf = buf.split('\n', 1)
m = (re.match(' x.*z=([0-2])', line) or
re.match('Choose .* x.*z=([0-2])', line))
if m:
z = int(m.group(1))
continue
m = re.match('([0-2]) (.) \| (.) \| (.)', line)
if m:
y = int(m.group(1))
for x in xrange(3):
self.state[z][y][x] = m.group(x+2)
if y == 2 and z == 2:
break
self._buf = buf
def _send_move(self, x, y, z):
self.s.send('%d,%d,%d\n' % (x,y,z))
def _print_state(self):
print '\nMove: %d' % self._moves
for board in self.state:
print '[[' + ']\n ['.join(','.join(c for c in r) for r in board) + ']]'
@staticmethod
def _score_row(*row):
x = 0
o = 0
for p in row:
x += 1 if p == 'X' else 0
o += 1 if p == 'O' else 0
if x+o == 3 or (x and o):
# All 3 filled or lost cause, we're fucked
return 0
if x == 2 or o == 2:
# Either blocking or winning a row
return 3
if x or o:
return 1
# Empty row
return 0
@staticmethod
def _find_diagonals(x, y, z):
"""This is terrible, but works."""
# Diagonals of 2 degrees of freedom
if x == y:
yield ((0, 0, z), (1, 1, z), (2, 2, z))
if x+y == 2:
yield ((0, 2, z), (1, 1, z), (2, 0, z))
if x == z:
yield ((0, y, 0), (1, y, 1), (2, y, 2))
if x+z == 2:
yield ((0, y, 2), (1, y, 1), (2, y, 0))
if y == z:
yield ((x, 0, 0), (x, 1, 1), (x, 2, 2))
if y+z == 2:
yield ((x, 0, 2), (x, 1, 1), (x, 2, 0))
# Now the 4 big diagonals
if x == y == z:
yield ((0, 0, 0), (1, 1, 1), (2, 2, 2))
for dia in [
((2, 0, 0), (1, 1, 1), (0, 2, 2)),
((2, 2, 0), (1, 1, 1), (0, 0, 2)),
((0, 2, 0), (1, 1, 1), (2, 0, 2))]:
if (x, y, z) in dia:
yield dia
def _score_move(self, x, y, z):
if self.state[z][y][x] != ' ':
# Not a possible move
return -1
# Straight rows
score = self._score_row(
self.state[z][y][0],
self.state[z][y][1],
self.state[z][y][2])
score += self._score_row(
self.state[z][0][x],
self.state[z][1][x],
self.state[z][2][x])
score += self._score_row(
self.state[0][y][x],
self.state[1][y][x],
self.state[2][y][x])
# Diagonals
for d in self._find_diagonals(x, y, z):
score += self._score_row(
self.state[d[0][2]][d[0][1]][d[0][0]],
self.state[d[1][2]][d[1][1]][d[1][0]],
self.state[d[2][2]][d[2][1]][d[2][0]])
return score
def _optimal_move(self):
# Initial move, go for center
if self._moves == 0:
return (1, 1, 1)
# Score each position
bestpos = None
max_score = -1
for x in xrange(3):
for y in xrange(3):
for z in xrange(3):
score = self._score_move(x, y, z)
if score > max_score:
max_score = score
bestpos = (x, y, z)
print bestpos, 'score:', max_score
return bestpos
def move(self):
where = self._optimal_move()
if where is None:
m = re.search('You\'ve won [0-9]+ rounds', self._buf)
if m:
print m.group(0)
self._moves = 0
else:
self._send_move(*where)
self._moves += 1
self._read_state()
self._print_state()
return True
if __name__ == '__main__':
ttt = TTT(REMOTE[0], REMOTE[1])
while ttt.move():
continue
print ttt._buf
print ttt.s.recv(1024)