def mystery(x):
s = str(x)
if len(s) != 6:
return False
h1 = h2 = h3 = 0
total = 0
for ch in s:
o = ord(ch)
total += o
h1 = (h1 * 31 + o) % 997
h2 = (h2 * 17 + o) % 991
h3 = (h3 * 13 + o) % 983
return total == 412 and h1 == 408 and h2 == 731 and h3 == 481
def mystery(x):
if not isinstance(x, int) or not (0 <= x <= 0xFFFFFFFF):
return False
# Check for a specific number of set bits
if bin(x).count('1') != 12:
return False
# Split the 32-bit integer into two 16-bit halves
a, b = divmod(x, 65536)
# Check the XOR relationship between the two halves
if (a ^ b) != 23130:
return False
# Check a specific linear combination under modulo 100003
# 0x7A69 is 31337, 0x343D is 13373
if (a * 0x7A69 + b * 0x343D) % 100003 != 98339:
return False
# Final check using modular exponentiation
return pow(a, b, 101) == 98
def mystery(x):
s = str(x)
if len(s) != 8:
return False
h1 = 0
h2 = 0
h3 = 0
for ch in s:
o = ord(ch)
h1 = (h1 * 131 + o) % 1000000007
h2 = (h2 * 137 + o) % 1000000009
h3 = (h3 * 239 + o) % 998244353
return (
h1 == 243347486 and
h2 == 785392942 and
h3 == 234289390
)
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
# Treat the 8-character string as a 64-bit integer
v = 0
for i in range(8):
v |= (ord(x[i]) << (8 * i))
# Split the 64-bit integer into two 32-bit halves
a = v & 0xFFFFFFFF
b = v >> 32
# Perform 32 rounds of a mixing function
for _ in range(32):
# Update a using addition and rotation
a = (a + b) & 0xFFFFFFFF
a = ((a << 13) | (a >> 19)) & 0xFFFFFFFF
# Update b using XOR and rotation
b = (b ^ a) ^ 0xDEADBEEF
b = ((b << 17) | (b >> 15)) & 0xFFFFFFFF
# Check if the final values match the target
return a == 0xbc260334 and b == 0x7620e7f0
def mystery(x):
if not isinstance(x, str) or len(x) != 8 or not x.isdigit():
return False
d = [ord(c) - 48 for c in x]
L, R = d[:4], d[4:]
rounds = (
(4, 1, 7, 0),
(2, 9, 3, 5),
(6, 8, 1, 4),
(9, 2, 6, 1),
)
for r, key in enumerate(rounds):
F = [(R[i] + key[i] + r + i) % 10 for i in range(4)]
L, R = R, [(L[i] + F[i]) % 10 for i in range(4)]
return L + R == [0, 5, 3, 4, 2, 3, 7, 6]
def mystery(x):
if not isinstance(x, str) or len(x) != 10:
return False
# ASCII range check for printable characters
v = [ord(c) for c in x]
if not all(32 <= c <= 126 for c in v):
return False
# Phase 1: Modular multiplication and offset
# Each character is transformed independently.
for i in range(10):
v[i] = (v[i] * 31 + i) % 256
# Phase 2: Incremental accumulation
# This round creates a dependency between each character and all previous ones.
for i in range(9):
v[i+1] = (v[i+1] + v[i]) % 256
# Phase 3: Bitwise rotation
# Each byte is rotated left by 3 bits.
for i in range(10):
v[i] = ((v[i] << 3) | (v[i] >> 5)) & 0xFF
# Final state check
return v == [197, 195, 66, 59, 216, 90, 184, 39, 0, 34]
def mystery(x):
if not isinstance(x, str) or len(x) != 8 or not x.isdigit():
return False
d = [ord(c) - 48 for c in x]
for _ in range(4):
d = [(d[i] + d[i - 1] + i) % 10 for i in range(8)]
d = [(d[i] * 7 + d[(i + 3) % 8]) % 10 for i in range(8)]
return d == [6, 4, 1, 7, 4, 8, 9, 5]
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
# Check for printable ASCII characters
v = [ord(c) for c in x]
if any(c < 32 or c > 126 for c in v):
return False
# Phase 1: Modular affine transformation
for i in range(8):
v[i] = (v[i] * 13 + 36) % 256
# Phase 2: XOR dependency chain
for i in range(7, 0, -1):
v[i] ^= v[i-1]
v[0] ^= v[7]
# Phase 3: Bitwise rotation (left shift by 5)
for i in range(8):
v[i] = ((v[i] << 5) | (v[i] >> 3)) & 0xFF
# Phase 4: Fixed permutation
p = [5, 2, 0, 7, 4, 1, 3, 6]
v = [v[p[i]] for i in range(8)]
# Phase 5: Final XOR with constant
for i in range(8):
v[i] ^= 66
return v == [227, 106, 9, 143, 55, 237, 206, 98]
def mystery(x):
s = str(x)
if len(s) != 9 or any(not (32 <= ord(c) <= 126) for c in s):
return False
v = [ord(c) for c in s]
for i in range(9):
v[i] = (v[i] + 17 * i * i + 29) & 0xFF
for i in range(8, 0, -1):
v[i] ^= v[i - 1]
p = [3, 7, 2, 6, 1, 5, 0, 4, 8]
v = [v[p[i]] for i in range(9)]
for i in range(9):
v[i] = ((v[i] << 1) | (v[i] >> 7)) & 0xFF
return v == [170, 186, 155, 139, 98, 210, 188, 51, 2]
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
# Check for printable ASCII characters
v = [ord(c) for c in x]
if any(c < 32 or c > 126 for c in v):
return False
# Phase 1: Affine transformation with index dependency
for i in range(8):
v[i] = (v[i] * 53 + i * 17 + 89) % 256
# Phase 2: XOR dependency chain
for i in range(1, 8):
v[i] ^= v[i-1]
# Phase 3: Bitwise nibble swap
for i in range(8):
v[i] = ((v[i] << 4) | (v[i] >> 4)) & 0xFF
# Phase 4: Fixed permutation
p = [3, 0, 5, 2, 7, 4, 1, 6]
v = [v[p[i]] for i in range(8)]
# Phase 5: Modular addition chain
for i in range(1, 8):
v[i] = (v[i] + v[i-1]) % 256
return v == [212, 114, 164, 220, 217, 36, 200, 111]