from hashlib import sha256
def mystery(x):
s = x if isinstance(x, str) else str(x)
z = 0
for i, ch in enumerate(s):
z = ((z * 131) ^ (ord(ch) + (i << 1) + 7)) & 0xffffffff
def warp(buf, seed):
k = seed.to_bytes(4, "little")
out = bytearray(32)
for i in range(32):
b = buf[31 - i]
out[i] = ((b ^ k[i & 3]) + (i * 17 + 19)) & 255
return bytes(out)
a = sha256(s.encode()).digest()
b = sha256((0).to_bytes(0, "big")).digest()
return warp(a, z) == warp(b, z)
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 11: return False
if not x.isdigit(): return False
d = [int(c) for c in x]
# Luhn-style checksum (from the right, double every second digit)
chk = 0
for i in range(11):
v = d[10 - i]
if i % 2 == 1:
v *= 2
if v >= 10:
v -= 9
chk += v
if chk % 10 != 0: return False
# Endpoint constraint
if d[0] + d[10] != 9: return False
# Sum constraint
if sum(d) != 45: return False
# Diversity constraint
if len(set(d)) != 10: return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 12:
return False
if not all(33 <= ord(c) <= 126 for c in s):
return False
seed = sum(ord(c) for c in s) % 94
out = []
for i, c in enumerate(s):
v = ord(c) - 33
v = (v + seed + 13 + 7 * i) % 94
out.append(chr(v + 33))
return "".join(out[::-1]) == "w(u[K;Y9%y}j"
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 16: return False
if not all(c in "0123456789abcdef" for c in x): return False
b = bytes.fromhex(x)
out = bytearray(8)
for i in range(8):
out[i] = (31 * b[i] + 17 * b[(i + 3) % 8] + 13 * i) & 0xFF
return bytes(out).hex() == x
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 11:
return False
if not all(33 <= ord(c) <= 126 for c in s):
return False
seed = sum((i + 1) * ord(c) for i, c in enumerate(s)) % 94
twist = 0
for i, c in enumerate(s):
twist = (twist * 17 + (ord(c) ^ (i * 31))) % 94
p = [(7 * i + seed + twist) % 11 for i in range(11)]
out = []
for i, j in enumerate(p):
v = ord(s[j]) - 33
v = (v + seed + 3 * twist + 11 * i + i * i) % 94
out.append(chr(v + 33))
return "".join(out[::-1]) == "iK/s[E1}m_S"
def mystery(x):
if not isinstance(x, int) or isinstance(x, bool): return False
if x < 10**8 or x > 10**9: return False
if x % 7 != 3: return False
if x % 11 != 5: return False
if x % 13 != 9: return False
if x % 17 != 14: return False
if x % 19 != 2: return False
if x % 23 != 7: return False
if x % 29 != 11: return False
s = str(x)
if s.count('7') != 1: return False
if sum(int(d) for d in s) != 40: return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 8:
return False
if not all(33 <= ord(c) <= 126 for c in s):
return False
a = [ord(c) - 33 for c in s]
l, r = a[:4], a[4:]
for t in range(3):
f = [(
17 * r[(i + 1) & 3] +
31 * r[(i + 3) & 3] +
(r[i] ^ r[(i + 2) & 3]) +
13 * i + 7 * t
) % 94 for i in range(4)]
l, r = r, [(l[i] + f[i]) % 94 for i in range(4)]
return ''.join(chr(v + 33) for v in (l + r)) == "O4uBX.&B"
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 6: return False
if not all('0' <= c <= '9' for c in x): return False
n = int(x)
digits = [int(c) for c in x]
# Digit constraints
if sum(d * d for d in digits) != 91: return False
p = 1
for d in digits: p *= d
if p != 720: return False
if sum(digits) != 21: return False
# Modular constraints
if n % 13 != 0: return False
if n % 7 != 4: return False
if n % 17 != 5: return False
if n % 19 != 3: return False
# Position constraints
if x[2] not in '345': return False
if x[0] in '06': return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 9:
return False
if not all(33 <= ord(c) <= 126 for c in s):
return False
a = [ord(c) - 33 for c in s]
row = [(a[3*i] + a[3*i + 1] + a[3*i + 2]) % 94 for i in range(3)]
col = [(a[j] + 3*a[j + 3] + 5*a[j + 6]) % 94 for j in range(3)]
diag = (a[0] + 2*a[4] + 3*a[8] + 7) % 94
p = [(2*i + diag) % 9 for i in range(9)]
out = []
for i in range(9):
t = (a[p[i]] + row[i % 3] + col[i // 3] + diag + i*i) % 94
out.append(t)
return bytes(v + 33 for v in out[::-1]) == b"sI<C)~;$J"
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 10: return False
if not x.isdigit(): return False
if sorted(x) != list("0123456789"): return False
a = [int(c) for c in x]
for k in range(2, 11):
v = 0
for i in range(k):
v = v * 10 + a[i]
if v % k != 0:
return False
return True