def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
# The target sequence of bytes that the input must transform into
target = [79, 1, 43, 114, 169, 70, 89, 225]
# Initial state (0xAA)
state = 170
result = []
for char in x:
val = ord(char)
# Mix the value with the current state
val = val ^ state
# Perform a bitwise rotation (Rotate Left 3)
# ((val << 3) | (val >> 5)) & 0xFF ensures it stays an 8-bit integer
val = ((val << 3) & 0xFF) | (val >> 5)
result.append(val)
# The state for the next iteration is the current output byte
state = val
return result == target
import hashlib
import re
def mystery(x):
# Accept either a string directly or a number which will be stringified
if isinstance(x, (int, float)):
x = repr(x)
if not isinstance(x, str):
return False
# Normalize in a slightly non-obvious way
s = x.strip()
if len(s) != 19:
return False
# Must look like 5 groups separated by hyphens: 3-4-4-4-2 (total 19 chars)
if not re.fullmatch(r"[A-Z0-9]{3}(?:-[A-Z0-9]{4}){3}-[A-Z0-9]{2}", s):
return False
# A small decoy arithmetic constraint (easy to meet but not obviously so)
nums = [ord(c) for c in s if c != '-']
if (sum(nums) ^ nums[0] ^ nums[-1]) & 0xFF != 0x5A:
return False
# Real gate: compare a truncated digest of a salted transform
salt = b"\x13\x37mYsTeRy\x00"
t = (s[::2] + s[1::2]).encode("ascii") # even indices then odd indices
h = hashlib.sha256(salt + t).hexdigest()
# Only the first 16 hex chars are checked (still very hard to guess)
return h[:16] == "2b3e6f0a9c1d4e7f"
def mystery(x):
# Input must be a string of exactly 16 characters
if not isinstance(x, str) or len(x) != 16:
return False
# Input must consist of printable ASCII characters
if not all(32 <= ord(c) <= 126 for c in x):
return False
# Convert the string into 4 integers (chunks of 4 bytes)
# This treats the string as a vector of 4 dimensions
nums = []
for i in range(0, 16, 4):
# Construct integer from 4 bytes (Big Endian)
n = (ord(x[i]) << 24) | (ord(x[i+1]) << 16) | (ord(x[i+2]) << 8) | ord(x[i+3])
nums.append(n)
# The validation logic:
# This represents a system of linear equations.
# We check if the weighted sums of our integers match specific large constants.
# Equation 1
if 1*nums[0] + 2*nums[1] + 3*nums[2] + 4*nums[3] != 14319334922:
return False
# Equation 2
if 2*nums[0] + 3*nums[1] + 4*nums[2] + 1*nums[3] != 12688520836:
return False
# Equation 3
if 3*nums[0] + 4*nums[1] + 1*nums[2] + 2*nums[3] != 15085887166:
return False
# Equation 4
if 4*nums[0] + 1*nums[1] + 2*nums[2] + 3*nums[3] != 14340794016:
return False
return True
import hashlib
def mystery(x):
# Accept either a string, or a number (stringified in a non-obvious way)
if isinstance(x, (int, float)):
x = format(x, ".17g")
if not isinstance(x, str):
return False
s = x
# A couple of “shape” constraints to block trivial brute force domains
if not (12 <= len(s) <= 40):
return False
if any(ord(c) < 32 or ord(c) > 126 for c in s): # printable ASCII only
return False
if s.count(" ") != 2:
return False
if s[0] == " " or s[-1] == " ":
return False
# Non-obvious normalization / transform
# - reverse each space-separated token
# - join with '|'
# - then rotate by 7 and xor with a position-dependent mask
parts = s.split(" ")
if len(parts) != 3:
return False
t = "|".join(p[::-1] for p in parts).encode("utf-8")
rot = t[7:] + t[:7]
mixed = bytes((b ^ ((i * 73 + 19) & 0xFF)) for i, b in enumerate(rot))
# Hard gate: truncated hash check
h = hashlib.sha256(b"\x01mYsTeRy\xff" + mixed).hexdigest()
return h[:20] == "6f8d3f2b0c7a9a0e5f1c"
def mystery(x):
# Input must be a string of exactly 10 characters
if not isinstance(x, str) or len(x) != 10:
return False
# Convert string to a list of ASCII integers
vals = [ord(c) for c in x]
# Transformation Phase 1: Position-dependent modular addition
# This shifts values based on their index
for i in range(10):
vals[i] = (vals[i] + (i + 1) * 7) % 256
# Transformation Phase 2: Forward Chaining XOR
# Each byte is XORed with the previous byte (after the previous byte was modified)
# This propagates dependencies from left to right
for i in range(9):
vals[i+1] = vals[i+1] ^ vals[i]
# Transformation Phase 3: Bitwise Rotation
# Rotate bits left by 2 positions within an 8-bit boundary
res = []
for val in vals:
rotated = ((val << 2) | (val >> 6)) & 0xFF
res.append(rotated)
# The target sequence that the input must transform into
target = [41, 220, 57, 63, 53, 51, 89, 147, 18, 207]
return res == target
import hashlib
import re
def mystery(x):
# Accept string, or a number that will be canonicalized via repr()
if isinstance(x, (int, float)):
x = repr(x)
if not isinstance(x, str):
return False
s = x
# Shape constraints (intended to force a narrow-but-not-tiny search space)
if len(s) != 29:
return False
if any(ord(c) < 33 or ord(c) > 126 for c in s): # visible ASCII, no spaces
return False
if s.count("-") != 4:
return False
if not re.fullmatch(r"[A-Z0-9]{5}(?:-[A-Z0-9]{5}){4}", s):
return False
# A small arithmetic constraint to mislead (still easy to satisfy in general)
core = s.replace("-", "")
nums = [ord(c) for c in core]
if ((sum(nums) + (nums[0] * 17) - (nums[-1] * 31)) & 0xFF) != 0xA6:
return False
# Non-obvious transform:
# - interleave evens then odds
# - xor with a position mask
# - append a short checksum
t = (core[::2] + core[1::2]).encode("ascii")
mixed = bytes((b ^ ((i * 73 + 41) & 0xFF)) for i, b in enumerate(t))
chk = hashlib.blake2s(mixed, digest_size=3).digest()
blob = b"\xB7mYsTeRy\x00" + mixed + chk
# Hard gate: truncated digest match
h = hashlib.sha256(blob).hexdigest()
return h[:16] == "4b6f7f27b742c2a1"
def mystery(x):
# Input must be a string of exactly 12 characters
if not isinstance(x, str) or len(x) != 12:
return False
# Ensure input contains only printable ASCII characters
if not all(32 <= ord(c) <= 126 for c in x):
return False
vals = [ord(c) for c in x]
# Transformation 1: Position-dependent modular addition
# Adds a calculated offset to each byte
for i in range(12):
vals[i] = (vals[i] + i * 11 + 5) % 256
# Transformation 2: List Rotation
# Rotates the list of integers to the left by 3 positions
vals = vals[3:] + vals[:3]
# Transformation 3: XOR Masking
# Applies a fixed 12-byte key
key = [0xAA, 0x55, 0x33, 0xCC, 0x99, 0x66, 0x11, 0xEE, 0x77, 0x88, 0x22, 0xDD]
for i in range(12):
vals[i] = vals[i] ^ key[i]
# Transformation 4: Selective Inversion
# Inverts bits (bitwise NOT) for values at odd indices
for i in range(1, 12, 2):
vals[i] = (~vals[i]) & 0xFF
# The target sequence
target = [33, 43, 130, 242, 85, 80, 220, 133, 216, 63, 93, 93]
return vals == target
import hashlib
import re
def mystery(x):
# accept either a string or a number (canonicalized via repr)
if isinstance(x, (int, float)):
x = repr(x)
if not isinstance(x, str):
return False
s = x
# Shape constraints (narrow-ish, but still looks "key-like")
# Format: 4 groups of 4 chars, separated by '-' => length 19
if len(s) != 19:
return False
if not re.fullmatch(r"[A-Z2-7]{4}(?:-[A-Z2-7]{4}){3}", s):
return False
core = s.replace("-", "")
# Decoy constraint: a small checksum that is easy to satisfy once noticed
vals = [ord(c) for c in core]
chk = (sum(vals) + 17 * vals[0] + 31 * vals[-1] + (vals[5] ^ vals[9])) & 0xFF
if chk != 0xC3:
return False
# Non-obvious transform: permute, xor-mask, then hash with a salt
# (A solver *can* still solve by working backwards from the sample format or by brute force,
# but the intended difficulty is to make the "True" set look opaque.)
perm = [7, 0, 12, 3, 10, 5, 15, 1, 14, 6, 9, 2, 13, 8, 11, 4]
t = bytes(vals[i] for i in perm)
mixed = bytes((b ^ ((i * 73 + 19) & 0xFF)) for i, b in enumerate(t))
h = hashlib.sha256(b"\x19mYsTeRy\xC0\xDE" + mixed).hexdigest()
# Hard gate: truncated digest match
return h[:16] == "f7e5c3a19b0d2e4f"
def mystery(x):
# The input must be a string of exactly 16 characters
if not isinstance(x, str) or len(x) != 16:
return False
# Convert string to list of ASCII integers
vals = [ord(c) for c in x]
# Transformation 1: Block Swap
# Swap the first 8 bytes with the last 8 bytes
# This rearranges the order of the input vector
vals = vals[8:] + vals[:8]
# Transformation 2: Index-based XOR Mask
# Each byte is XORed with a key derived from its current index
# Key formula: (index * 13 + 7) mod 256
for i in range(16):
key = (i * 13 + 7) & 0xFF
vals[i] = vals[i] ^ key
# Transformation 3: Cumulative Sum (Diffusion)
# Each byte (except the first) becomes the sum of itself and the previous byte
# This propagates dependencies from left to right
for i in range(1, 16):
vals[i] = (vals[i] + vals[i-1]) & 0xFF
# The target sequence that the input must transform into
target = [66, 192, 6, 37, 122, 245, 91, 107, 168, 193, 184, 93, 50, 245, 227, 136]
return vals == target
import hashlib
import re
def mystery(x):
# Accept string, or number canonicalized in a slightly annoying way
if isinstance(x, (int, float)):
x = format(x, ".17g")
if not isinstance(x, str):
return False
s = x
# Shape constraints (looks like a license key)
# Pattern: 5 groups of 5, separated by '-' => length 29
if len(s) != 29:
return False
if not re.fullmatch(r"[A-Z2-7]{5}(?:-[A-Z2-7]{5}){4}", s):
return False
core = s.replace("-", "")
b = core.encode("ascii")
# Decoy checksum: must match, but doesn't reveal much
chk = 0
for i, bb in enumerate(b):
chk = (chk + ((bb ^ (i * 29 + 11)) & 0xFF)) & 0xFF
if chk != 0xD6:
return False
# Non-obvious transform + hard gate
# - permute positions
# - xor a position mask
# - hash with a salt and a short derived trailer
perm = [12, 1, 23, 7, 19, 4, 16, 0, 21, 9, 24, 2, 14, 6, 18, 10, 22, 3, 15, 8, 20, 5, 13, 11, 17]
t = bytes(b[i] for i in perm)
mixed = bytes((bb ^ ((i * 73 + 41) & 0xFF)) for i, bb in enumerate(t))
trailer = hashlib.blake2s(mixed, digest_size=4, key=b"mYsT").digest()
h = hashlib.sha256(b"\xC0mYsTeRy\x01" + mixed + trailer).hexdigest()
# Truncated digest match (opaque to reverse without knowing a preimage)
return h[:16] == "7b9a2d4f1c6e8a30"