def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
try:
n = int(x, 16)
except ValueError:
return False
return n ^ 0xDEADCAFE == 0xBEEFBABE
def mystery(x):
if not isinstance(x, str):
return False
try:
v = int(x, 16)
except ValueError:
return False
# Ensure 128-bit unsigned integer
MASK = (1 << 128) - 1
if v > MASK or v < 0:
return False
# 1. Self-XOR mixing
v ^= (v >> 64)
# 2. Additive constant
v = (v + 0xDEADBEEF) & MASK
# 3. Rotate Left 16 bits (in 128-bit space)
v = ((v << 16) | (v >> 112)) & MASK
# 4. Final Check
TARGET = 0x12345678000000001234567800000000
CHECK = 0xCAFEBABE00000000CAFEBABE00000000
return (v ^ CHECK) == TARGET
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
if not all('a' <= c <= 'z' for c in x):
return False
v = [ord(c) for c in x]
h = 0
MOD = 10**9 + 7
for i, c in enumerate(v):
h = ((h * 31) + c + (i * 17)) % MOD
return h == 969600547
def mystery(x):
if not isinstance(x, str) or len(x) != 32:
return False
try:
# Parse 32-char hex string into four 32-bit integers
vals = [int(x[i:i+8], 16) for i in range(0, 32, 8)]
except ValueError:
return False
a, b, c, d = vals
M = 0xFFFFFFFF
# Mixing Round 1
a = (a + b) & M
c = c ^ a
d = d ^ ((b + c) & M)
b = (b + ((a | d) ^ c)) & M
# Mixing Round 2
a = a ^ d
b = (b - c) & M
c = (c + (b << 3)) & M
d = d ^ (a >> 2)
return [a, b, c, d] == [0x2B9F877E, 0x307BB3DD, 0xFADF2258, 0x88D41F0C]
def mystery(x):
if not isinstance(x, str) or len(x) != 16:
return False
if not all(c in '0123456789abcdef' for c in x):
return False
n = int(x, 16)
y = n
y ^= 0xA5A5A5A5A5A5A5A5
y ^= (y >> 32)
y ^= 0x5A5A5A5A5A5A5A5A
return y == 0x1234567890ABCDEF
def mystery(x):
if not isinstance(x, str) or len(x) != 16:
return False
try:
val = int(x, 16)
except ValueError:
return False
# Pre-processing mixing
val ^= 0x1234567890ABCDEF
# Split 64-bit integer into two 32-bit halves
L = (val >> 32) & 0xFFFFFFFF
R = val & 0xFFFFFFFF
# 4-round Feistel Network
keys = [0x13371337, 0xDEADBEEF, 0xCAFEBABE, 0xFACEFEED]
for k in keys:
# Round function F(R, k)
# 1. Bitwise mixing of R
mixed_R = ((R << 4) ^ (R >> 5)) & 0xFFFFFFFF
# 2. Add round key (modulo 2^32)
f_out = (mixed_R + k) & 0xFFFFFFFF
# Feistel swap structure:
# New R = Old L XOR F(Old R)
# New L = Old R
new_R = L ^ f_out
L = R
R = new_R
# Final check
return L == 0x642df1e1 and R == 0xcc2971fc
def mystery(x):
if not isinstance(x, str) or len(x) != 10:
return False
if not x.isalnum():
return False
if x != x[::-1]:
return False
if sum(ord(c) for c in x) != 1006:
return False
if x[4] != x[5] or not x[4].isdigit():
return False
if any(c.isdigit() for c in x[:4]):
return False
if len(set(x[:4])) != 1:
return False
if x[0] <= 'p':
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 12:
return False
try:
val = int(x, 16)
except ValueError:
return False
# Split into three 16-bit integers
a = (val >> 32) & 0xFFFF
b = (val >> 16) & 0xFFFF
c = val & 0xFFFF
# Round 1: Mixing
a = (a + b) & 0xFFFF
b = (b ^ c) & 0xFFFF
c = (c + a) & 0xFFFF
# Round 2: More Mixing
a = (a ^ 0x1234) & 0xFFFF
b = (b - a) & 0xFFFF
c = (c ^ b) & 0xFFFF
# Round 3: Permutation & Final adjustment
# 16-bit Rotate Left 5
a = ((a << 5) | (a >> 11)) & 0xFFFF
# 16-bit Rotate Right 3
b = ((b >> 3) | (b << 13)) & 0xFFFF
# Bitwise NOT
c = ~c & 0xFFFF
return a == 0xDEAD and b == 0xBEEF and c == 0xCAFE
def mystery(x):
if not isinstance(x, int) or x <= 0 or x > 10**6:
return False
def is_prime(n):
if n < 2:
return False
for i in range(2, int(n**0.5) + 1):
if n % i == 0:
return False
return True
P = 840
for a in range(1, 10):
if P % a: continue
for b in range(a + 1, 10):
if P % (a * b): continue
for c in range(b + 1, 10):
if P % (a * b * c): continue
d = P // (a * b * c)
if c < d < 10 and is_prime(a + b + c + d):
if sum(i**4 for i in [a,b,c,d]) == x:
return True
return False
def mystery(x):
if not isinstance(x, str) or len(x) != 16:
return False
try:
val = int(x, 16)
except ValueError:
return False
# Split into four 16-bit integers: w, x_val, y, z
w = (val >> 48) & 0xFFFF
x_val = (val >> 32) & 0xFFFF
y = (val >> 16) & 0xFFFF
z = val & 0xFFFF
mask = 0xFFFF
# 1. Mix w into x
x_val = x_val ^ w
# 2. Add z to y
y = (y + z) & mask
# 3. Rotate z left by 7 bits
z = ((z << 7) | (z >> 9)) & mask
# 4. Subtract y from w
w = (w - y) & mask
# 5. Rotate x right by 5 bits
x_val = ((x_val >> 5) | (x_val << 11)) & mask
# 6. XOR z into y
y = y ^ z
# Check against target values
return (w == 0x4321 and
x_val == 0x8765 and
y == 0xCDBA and
z == 0xAB0F)