def mystery(x):
if not isinstance(x, str) or len(x) != 81 or not x.isdigit():
return False
m = {
0: '5', 1: '3', 4: '7', 9: '6', 12: '1', 13: '9', 14: '5',
19: '9', 20: '8', 25: '6', 27: '8', 31: '6', 35: '3',
36: '4', 39: '8', 41: '3', 44: '1', 45: '7', 49: '2',
53: '6', 55: '6', 60: '2', 61: '8', 66: '4', 67: '1',
68: '9', 71: '5', 76: '8', 79: '7', 80: '9'
}
for k, v in m.items():
if x[k] != v:
return False
groups = [[] for _ in range(27)]
for i in range(81):
groups[i // 9].append(x[i])
groups[9 + i % 9].append(x[i])
groups[18 + (i // 27) * 3 + (i % 9) // 3].append(x[i])
for g in groups:
b = 0
for c in g:
b |= 1 << int(c)
if b != 1022:
return False
return True
def mystery(x):
if type(x) is not int:
return False
n = 1522605027922533360535618378132637429718068114961380688657908494580122963258952897654000350692006139
return (
10**49 < x < 10**50
and n % x == 0
and x % 1000 == 199
)
def mystery(x):
if type(x) is not list or len(x) != 2:
return False
u, v = x
if type(u) is not int or type(v) is not int:
return False
if u < 10**8 or v < 10**8:
return False
return (u + 7)**2 - 61 * (v - 3)**2 == 1
def mystery(x):
if type(x) is not str or len(x) != 56:
return False
if any(c < "a" or c > "z" for c in x):
return False
import hashlib
y = "".join(chr((ord(c) - 84) % 26 + 97) for c in x[::-1])
return hashlib.sha256(y.encode("ascii")).hexdigest() == (
"248d6a61d20638b8e5c026930c3e6039a33ce45964ff2167f6ecedd419db06c1"
)
def mystery(x):
if type(x) is not int:
return False
p = 2305843009213693951
if not (0 <= x < p):
return False
for _ in range(1000000):
x = (x * x - 2) % p
return x == 281474976718848
def mystery(x):
if type(x) is not int:
return False
if not (10**18 < x < 10**19) or x % 2 == 0:
return False
if x % 149491 != 0:
return False
def sprp(n, a):
d = n - 1
s = 0
while d & 1 == 0:
s += 1
d >>= 1
y = pow(a, d, n)
if y == 1 or y == n - 1:
return True
for _ in range(s - 1):
y = (y * y) % n
if y == n - 1:
return True
return False
return all(sprp(x, a) for a in (2, 3, 5, 7, 11, 13, 17, 19, 23))
def mystery(x):
if type(x) is not int:
return False
N = int("1" + "0"*222 + "1")
A = int("1" + "0"*163 + "1337")
B = int("42" + "0"*50 + "1252" + "9"*56 + "0"*52 + "55390")
return (x * x - A * x + B) % N == 0
def mystery(x):
if type(x) is not str or len(x) != 9:
return False
if any(ord(c) < 33 or ord(c) > 126 for c in x):
return False
import hashlib
mask = bytes.fromhex("035225556b4e302a45")
y = bytes(ord(c) ^ mask[i] for i, c in enumerate(x))
return hashlib.pbkdf2_hmac(
"sha1",
y,
b"sa\0lt",
1 << 12,
16
).hex() == "56fa6aa75548099dcc37d7f03425e0c3"
def mystery(x):
if not isinstance(x, tuple) or len(x) != 2:
return False
u, v = x
if not isinstance(u, int) or not isinstance(v, int):
return False
b = -599999999999999999999999999999999999999999999999994000000000000000000000000000000000000000000000000130000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000001
return v**2 == u**3 + u + b
def mystery(x):
if type(x) is not str or len(x) != 13:
return False
if any(ord(c) < 33 or ord(c) > 126 for c in x):
return False
import hashlib
y = bytes(
33 + ((ord(c) - 33 + 7 * i * i + 3 * i + 42) % 94)
for i, c in enumerate(x)
)
z = hashlib.scrypt(
y,
salt=bytes.fromhex("656469726f6c68436d7569646f53")[::-1],
n=2**14,
r=8,
p=1,
dklen=64,
maxmem=64 * 1024 * 1024,
)
return z[::-1].hex() == (
"875857457b01cfdf401e650ddc851ee6f99a2a240597d462"
"cf0f3f61552943d5f2a15d54f643b5a93e8e4f90bafba8fd"
"eb38fd81cd061c464873fd3acbbd2370"
)