import hashlib
_TABLE = str.maketrans(
"abcdefghijklmnopqrstuvwxyz",
"phqgiumeaylnofdxjkrcvstzwb"
)
def mystery(x):
if not isinstance(x, str):
return False
y = x.strip().casefold().translate(_TABLE)[::-1]
return hashlib.sha256(y.encode("utf-8")).hexdigest() == (
"ba7816bf8f01cfea414140de5dae2223b00361a396177a9cb410ff61f20015ad"
)
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 5 or not x.isalpha() or not x.islower():
return False
p = [ord(c) - 96 for c in x] # a=1, b=2, ..., z=26
return (
p[0] ** 2 - p[1] ** 2 == 168 and
p[0] ** 2 - p[3] ** 2 == 25 and
p[2] ** 2 + p[4] ** 2 == 281 and
p[2] ** 2 - p[4] ** 2 == 231 and
sum(p) == 47
)
def mystery(x):
if isinstance(x, str):
if len(x) != 9 or not x.isdigit() or x[0] == "0":
return False
s = x
elif type(x) is int and 100000000 <= x <= 999999999:
s = str(x)
else:
return False
d = [ord(c) - 48 for c in s]
perm = (2, 5, 1, 8, 0, 3, 7, 4, 6)
a = sum((i + 1) * d[perm[i]] for i in range(9))
b = 0
for i, v in enumerate(d):
b = (b * 13 + (v ^ (i + 4))) % 1000
c = 0
for v in reversed(d):
c = (c * 7 + v) % 97
p = 1
for v in d:
p = (p * v) % 97
return a == 238 and b == 948 and c == 17 and p == 2 and sum(d) == 42
def mystery(x):
if not isinstance(x, str):
return False
x = x.strip()
if not x or x[0] == '0':
return False
try:
n = int(x)
except ValueError:
return False
if n <= 0:
return False
def is_prime(p):
if p < 2: return False
if p == 2: return True
if p % 2 == 0: return False
for i in range(3, int(p**0.5) + 1, 2):
if p % i == 0: return False
return True
# Find integer cube root of n
c = int(round(n ** (1.0 / 3)))
found = False
for delta in range(-2, 3):
if (c + delta) ** 3 == n:
c = c + delta
found = True
break
if not found:
return False
digit_sum = sum(int(d) for d in str(n))
b = bin(c)[2:] # binary representation of c (no '0b' prefix)
return (
is_prime(digit_sum) and
is_prime(c) and
is_prime(c * c + c + 1) and
b == b[::-1]
)
import hashlib
def mystery(x):
if isinstance(x, bool):
return False
if isinstance(x, (int, float)):
s = str(x)
elif isinstance(x, str):
s = x
else:
return False
s = s.strip()
if len(s) != 11 or not all(32 <= ord(c) <= 126 for c in s):
return False
perm = (4, 2, 0, 10, 7, 1, 9, 6, 3, 8, 5)
u = ''.join(s[i] for i in perm)
scrambled = bytes((ord(ch) ^ (0x41 + i)) for i, ch in enumerate(u))
z = scrambled[::-1].decode("latin-1")
return hashlib.sha256(z.encode("utf-8")).hexdigest() == (
"b94d27b9934d3e08a52e52d7da7dabfac484efe37a5380ee9088f7ace2efcde9"
)
import math
def mystery(x):
if not isinstance(x, int) or isinstance(x, bool):
return False
if x < 10000 or x > 99999:
return False
# x must be a perfect square
r = math.isqrt(x)
if r * r != x:
return False
# All five digits must be nonzero and distinct
digits = [int(d) for d in str(x)]
if 0 in digits or len(set(digits)) != 5:
return False
# Digit sum must be prime
s = sum(digits)
if s < 2 or not all(s % i != 0 for i in range(2, s)):
return False
# Combined modular constraint
if x % 77 != 56:
return False
return True
import hashlib
def mystery(x):
if isinstance(x, bool):
return False
if isinstance(x, (int, float)):
s = str(x)
elif isinstance(x, str):
s = x
else:
return False
s = s.strip()
if len(s) != 11 or not all(32 <= ord(c) <= 126 for c in s):
return False
perm = (7, 0, 10, 3, 1, 8, 5, 2, 9, 4, 6)
u = ''.join(s[i] for i in perm)
v = ''.join(
chr(32 + ((ord(ch) - 32 + 17 * i) % 95))
for i, ch in enumerate(u)
)
return hashlib.sha256(v.encode("utf-8")).hexdigest() == (
"b94d27b9934d3e08a52e52d7da7dabfac484efe37a5380ee9088f7ace2efcde9"
)
import math
def mystery(x):
if not isinstance(x, int) or isinstance(x, bool):
return False
if x < 100000 or x > 999999:
return False
digits = [int(d) for d in str(x)]
# All six digits must be distinct
if len(set(digits)) != 6:
return False
# x must be a perfect square
r2 = math.isqrt(x)
if r2 * r2 != x:
return False
# The square root must also be a perfect square
r4 = math.isqrt(r2)
if r4 * r4 != r2:
return False
# The digit sum must equal the 4th root of x
if sum(digits) != r4:
return False
return True
import hashlib
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 43:
return False
if not all(33 <= ord(c) <= 126 for c in x):
return False
y = ''.join(chr(32 + ((ord(c) - 33) % 95)) for c in x[::-1])
return hashlib.sha1(y.encode("ascii")).hexdigest() == (
"2fd4e1c67a2d28fced849ee1bb76e7391b93eb12"
)
import math
def mystery(x):
if not isinstance(x, int) or isinstance(x, bool):
return False
if x < 1000 or x > 9999:
return False
# All four decimal digits must be distinct
s = str(x)
if len(set(s)) != 4:
return False
# x must be a perfect square
r = math.isqrt(x)
if r * r != x:
return False
# The square root must itself be prime
def is_prime(n):
if n < 2:
return False
if n == 2:
return True
if n % 2 == 0:
return False
for i in range(3, int(n**0.5) + 1, 2):
if n % i == 0:
return False
return True
if not is_prime(r):
return False
# x must equal k! + 1 for some positive integer k
k, factorial = 1, 1
while factorial < x:
k += 1
factorial *= k
if factorial + 1 == x:
return True
return False