def mystery(x):
import math, struct
# Only accept a *built-in* float (not int/bool, not Decimal, not numpy, etc.)
if type(x) is not float:
return False
# Must be NaN, but not just any NaN.
if not math.isnan(x):
return False
raw = struct.pack(">d", x) # exact IEEE-754 bytes as stored
def _u16_chunks_to_bytes(u16_list, order):
b = b"".join(int(u16_list[i] & 0xFFFF).to_bytes(2, "big") for i in order)
blocks = [b[i:i+2] for i in range(0, len(b), 2)]
# de-scramble blocks in a different order
return b"".join(blocks[i] for i in (2, 0, 3, 1))
# These are not the target bytes directly; they must be re-ordered and combined.
a = [0x6CCF, 0xC0DE, 0x4200, 0x99FF]
k = [0x1337, 0xC0DE, 0x4200, 0x995A]
u = _u16_chunks_to_bytes(a, (1, 3, 0, 2))
v = _u16_chunks_to_bytes(k, (1, 3, 0, 2))
target = bytes((uu ^ vv) for uu, vv in zip(u, v))
return raw == target
def mystery(x):
if type(x) is not int:
return False
if x < 10000 or x > 99999:
return False
s = str(x)
d = [int(c) for c in s]
# Condition 1: Sum of digits equals 3^3
if sum(d) != 27:
return False
# Condition 2: Product of digits equals 6^4
p = 1
for digit in d:
p *= digit
if p != 1296:
return False
# Condition 3: Middle digit is supreme
if d[2] != max(d):
return False
# Condition 4: Ascending ends
if d[0] >= d[4]:
return False
# Condition 5: Divisible by the digit sum
if x % sum(d) != 0:
return False
# Condition 6: Inner digits sum to 9
if d[1] + d[3] != 9:
return False
# Condition 7: Inner digits ascending
if d[1] >= d[3]:
return False
# Condition 8: First digit exceeds 2
if d[0] <= 2:
return False
return True
def mystery(x):
# x may be a string or a number; only one very specific string will work.
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
n = 23
if len(b) != n:
return False
# Keep the search space "reasonable" but not tiny.
# (Printable ASCII excluding space.)
if any(not (33 <= c <= 126) for c in b):
return False
# Obfuscated constants
add_step = (2**5) - 25 # 7
xorkey = (1 << 8) - (9 * 10 + 1) # 165 == 0xA5
# Encrypt the candidate
enc = bytes((((c + add_step * i) & 0xFF) ^ xorkey) for i, c in enumerate(b))
# Reconstruct the target ciphertext from an obfuscated integer.
# (The stored bytes are bitwise-not of the reversed target bytes.)
stored = 0x589E809EACF49EBE9FD1F4E03D28D9C838DAD460180D2F
blob = stored.to_bytes(n, "big")
target = bytes((t ^ 0xFF) for t in blob[::-1])
# Compare in a scrambled order (full cycle mod 23).
j = 0
for _ in range(n):
j = (j + 7) % n
if enc[j] != target[j]:
return False
return True
def mystery(x):
if type(x) is not int:
return False
if not (10**11 <= x < 10**12):
return False
s = str(x)
# Obfuscated digit sum target
target_sum = (0x19 << 1) ^ 0x14 # 50
if sum(int(c) for c in s) != target_sum:
return False
# First and last digit relationship
if int(s[0]) + int(s[-1]) != (0xD ^ 0x0): # 13
return False
# Specific position constraint
pivot = (0x1F & 0x07) # 7
if int(s[5]) != pivot:
return False
# Polynomial check on digit subsequence
coef = [2, 3, 5, 7, 11, 13]
subseq = [int(s[i]) for i in [1, 3, 6, 8, 9, 10]]
poly_val = sum(c * d for c, d in zip(coef, subseq))
if poly_val != 127:
return False
# Adjacent digit constraint
for i in range(5):
if abs(int(s[i]) - int(s[i+6])) > 4:
return False
return True
def mystery(x):
# x must be a very specific 16-character printable-ASCII string.
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
n = (1 << 6) >> 2 # 16
if len(b) != n:
return False
# Printable ASCII (no space)
if any((c < 33) or (c > 126) for c in b):
return False
# A full-cycle permutation mod 16 (since gcd(5,16)=1), written to look "bit-ish".
perm = [((i * 5) + 1) & (n - 1) for i in range(n)]
# Obfuscated 16-byte key and target (stored as: bitwise-not of reversed bytes).
stored_key = 0x64B61D88FE572BC3914EF06FA23CE8D5
stored_target = 0x312CDE637AEB47B8C9B514B474177DE5
key = bytes((t ^ 0xFF) for t in stored_key.to_bytes(n, "big"))[::-1]
target = bytes((t ^ 0xFF) for t in stored_target.to_bytes(n, "big"))[::-1]
# Position-dependent transform of permuted bytes
enc = bytearray(n)
for i in range(n):
add = (i * 31) & 0xFF
enc[i] = ((b[perm[i]] ^ key[i]) + add) & 0xFF
# Compare in a scrambled visitation order (stride 7 mod 16 is a full cycle).
j = 0
for _ in range(n):
j = (j + 7) & (n - 1)
if enc[j] != target[j]:
return False
return True
def mystery(x):
if type(x) is not int:
return False
# Range check (obfuscated bounds)
bound_lo = (5 ** 8) * (2 ** 8)
bound_hi = bound_lo * 10
if not (bound_lo <= x < bound_hi):
return False
s = str(x)
# Obfuscated weights derived through XOR
key = [0x30, 0x32, 0x37, 0x32, 0x36, 0x3A, 0x31, 0x35, 0x36]
weights = [k ^ 0x33 for k in key]
wsum = sum(int(d) * w for d, w in zip(s, weights))
# Target value (obfuscated)
target = (0xA << 4) + 0x28
if wsum != target:
return False
# Position parity balance constraint
even_idx = [i for i in range(9) if (i & 1) == 0]
odd_idx = [i for i in range(9) if (i & 1) == 1]
even_sum = sum(int(s[i]) for i in even_idx)
odd_sum = sum(int(s[i]) for i in odd_idx)
if even_sum != odd_sum:
return False
return True
def mystery(x):
import hashlib
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
n = 31
if len(b) != n:
return False
# printable ASCII excluding space
if any(c < 33 or c > 126 for c in b):
return False
# Stored bytes are: bitwise-not of reversed ciphertext bytes.
stored = 0x05316371006B006A192511331426194333606F500D6343412C660566760B51
blob = stored.to_bytes(n, "big")
ct = bytes((bb ^ 0xFF) for bb in blob)[::-1]
# Decrypt ciphertext -> secret bytes using a repeating XOR mask.
mask = (0xDE, 0xAD, 0xBE, 0xEF)
secret = bytes((c ^ mask[i & 3]) for i, c in enumerate(ct))
def _mix(data: bytes) -> bytes:
# Full-cycle permutation mod 31 (since gcd(17,31)=1).
perm = [((i * 17) + 4) % n for i in range(n)]
out = bytearray(n)
# Byte-wise bijection (permute + add + xor + multiply by odd number).
for i in range(n):
v = data[perm[i]]
v = (v + ((i * i + 13 * i + 37) & 0xFF)) & 0xFF
v ^= (0xDEADBEEF >> ((i & 3) * 8)) & 0xFF
v = (v * 197) & 0xFF
out[i] = v
# Extra diffusion (bijective on bytes as a whole, but not needed for uniqueness).
h = hashlib.blake2s(out, digest_size=8, key=b"\xC3\x5A\x17\xE9").digest()
for i in range(n):
out[i] ^= h[i & 7] ^ ((i * 29 + 7) & 0xFF)
return bytes(out)
# Compare in a scrambled visitation order (stride 9 mod 31 is a full cycle).
a = _mix(b)
e = _mix(secret)
j = 0
for _ in range(n):
j = (j + 9) % n
if a[j] != e[j]:
return False
return True
def mystery(x):
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
n = 17
if len(b) != n:
return False
if any(c < 33 or c > 126 for c in b):
return False
# Permutation (gcd(5, 17) = 1, so full cycle)
step = (1 << 2) + 1
offset = 7 - 4
perm = [(i * step + offset) % n for i in range(n)]
permuted = bytes([b[perm[i]] for i in range(n)])
# XOR with position-dependent key
xor_mult = (0x30 >> 1) - 1
xor_add = (0x50 >> 1) + 1
xored = bytes([(permuted[i] ^ ((i * xor_mult + xor_add) & 0xFF)) for i in range(n)])
# Target (stored as bitwise-not of reversed bytes)
stored = 0x4722e0d8e2b2933367066d5125a29a8ca4
blob = stored.to_bytes(n, "big")
target = bytes((t ^ 0xFF) for t in blob[::-1])
# Compare in scrambled order (stride 11 mod 17 is full cycle)
j = 0
for _ in range(n):
j = (j + 11) % n
if xored[j] != target[j]:
return False
return True
def mystery(x):
import hashlib
# Only accept a built-in str.
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
n = (1 << 4) + (1 << 3) + 1 # 25
if len(b) != n:
return False
# Printable ASCII excluding space
if any(c < 33 or c > 126 for c in b):
return False
# Reconstruct the hidden reference bytes:
# stored is NOT the reference; it's (bitwise-not of reversed (reference XOR mask)).
stored = 0x61E20DF7394FFB46F37E3BBB70866D4DAE0EF42A52FA74902E
blob = stored.to_bytes(n, "big")
xored = bytes((bb ^ 0xFF) for bb in blob[::-1])
mask = (
((0x52 << 1) + 1), # 0xA5
(0xB4 >> 1), # 0x5A
((0x61 << 1) + 1), # 0xC3
((0x0F << 2) | 0x00), # 0x3C
(0xF0), # 0xF0
)
ref = bytes((xored[i] ^ mask[i % 5]) for i in range(n))
def _mix(data: bytes) -> bytes:
# Full-cycle permutation mod 25 (gcd(11,25)=1)
perm = [((i * 11) + 7) % n for i in range(n)]
k = hashlib.sha256(b"mystery-key\x00v1").digest() # 32 bytes
out = bytearray(n)
for i in range(n):
v = data[perm[i]]
v = (v + ((i * i + 17 * i + 41) & 0xFF)) & 0xFF
v ^= k[i] # i < 25, so this is safe
v = (v * ((2 * i + 1) & 0xFF)) & 0xFF # odd multiplier => invertible per-byte
out[i] = v
return bytes(out)
a = _mix(b)
e = _mix(ref)
# Compare in a scrambled visitation order (full cycle since gcd(7,25)=1)
j = 0
for _ in range(n):
j = (j + 7) % n
if a[j] != e[j]:
return False
return True
def mystery(x):
if type(x) is not str:
return False
b = x.encode("utf-8", "strict")
# Length check (obfuscated: (60 >> 2) + (8 >> 3) = 15 + 1 = 16)
n = (0x3C >> 2) + (0x8 >> 3)
if len(b) != n:
return False
# Printable ASCII excluding space
if any(c < 33 or c > 126 for c in b):
return False
# Derive key from obfuscated constants
mult = (0x3E >> 1) # hidden: 31
add = (0x22 >> 1) # hidden: 17
mask = (0x50 + 0x5B) # hidden: 171
key = bytes([((i * mult + add) ^ mask) & 0xFF for i in range(n)])
xored = bytes([b[i] ^ key[i] for i in range(n)])
# Target stored as bitwise-not of reversed bytes
stored = 0x85A5D1BD576D1032ED809BBD44791115
blob = stored.to_bytes(n, "big")
target = bytes((t ^ 0xFF) for t in blob[::-1])
# Compare in scrambled order (stride 5 mod 16 is full cycle since gcd(5,16)=1)
j = 0
for _ in range(n):
j = (j + 5) & (n - 1)
if xored[j] != target[j]:
return False
return True