import unicodedata
def mystery(x):
# Accept either str or number, but all checks are performed on the
# normalized string representation.
if not isinstance(x, str):
return False
s = unicodedata.normalize("NFKC", x)
# A sequence of intentionally obfuscated, redundant checks.
if len(s) != 5:
return False
if not s.isalpha() or s.lower() != s:
return False
if s[0] != 'a':
return False
if s.count('p') != 2:
return False
if sum(ord(c) for c in s) != 530:
return False
if sum((i + 1) * ord(c) for i, c in enumerate(s)) != 1594:
return False
vowels = set('aeiou')
vowel_positions = [i + 1 for i, c in enumerate(s) if c in vowels]
prod = 1
for v in vowel_positions:
prod *= v
if prod != 5:
return False
if int(''.join(str(ord(c) % 10) for c in s)) != 72281:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 4:
return False
# All characters must be lowercase letters
if not (x.isalpha() and x.islower()):
return False
# No duplicate characters
if len(set(x)) != 4:
return False
# Sum of character values (a=1, z=26)
char_values = [ord(c) - ord('a') + 1 for c in x]
if sum(char_values) != 42:
return False
# Product of character values must be divisible by 20
product = 1
for v in char_values:
product *= v
if product % 20 != 0:
return False
# Alternating odd/even pattern in character values
if not ((char_values[0] % 2 == 1) and (char_values[1] % 2 == 0) and
(char_values[2] % 2 == 1) and (char_values[3] % 2 == 0)):
return False
return True
import unicodedata
import math
def mystery(x):
# Accept only strings (this puzzle targets strings)
if not isinstance(x, str):
return False
# Normalize to NFKC to avoid weird unicode tricks
s = unicodedata.normalize("NFKC", x)
# Many seemingly random checks intended to narrow the space.
# (They are intentionally redundant and obfuscated.)
# Basic shape constraints
if len(s) != 6:
return False
if not s.isalpha():
return False
if s.lower() != s:
return False
# Structural/positional checks
if s[0] != 'p':
return False
if not s.endswith('le'):
return False
if s.count('z') != 2:
return False
if len(set(s)) != 5: # exactly one repeated character (the two 'z's)
return False
# Numeric transforms on characters
ords = [ord(c) for c in s]
# Sum of codepoints
if sum(ords) != 682:
return False
# Weighted sum (position * codepoint)
if sum((i + 1) * v for i, v in enumerate(ords)) != 2346:
return False
# XOR of all codepoints
xor = 0
for v in ords:
xor ^= v
if xor != 12:
return False
# Sum of squares
if sum(v * v for v in ords) != 77866:
return False
# Last-digit concatenation check (ord % 10 for each char, concatenated as integer)
if int(''.join(str(v % 10) for v in ords)) != 272281:
return False
# Alphabet positions (a=1..z=26)
pos = [v - ord('a') + 1 for v in ords]
# Product of vowel positions (positions are 1-indexed for humans)
vowels = set('aeiou')
vowel_positions = [i + 1 for i, c in enumerate(s) if c in vowels]
prod = 1
for p in vowel_positions:
prod *= p
if prod != 12:
return False
# Digital root of the sum of codepoints is 7
def digital_root(n):
while n >= 10:
s = 0
while n:
s += n % 10
n //= 10
n = s
return n
if digital_root(sum(ords)) != 7:
return False
# Product of alphabet positions must be divisible by 10 and by 3
product = 1
for v in pos:
product *= v
if product % 10 != 0 or product % 3 != 0:
return False
# A composite "parity profile" check: odd/even pattern must be [0,1,0,0,0,1]
# where 0 means even, 1 means odd (just an arbitrary mask)
mask = [v % 2 for v in pos]
if mask != [0,1,0,0,0,1]:
return False
# Finally, a small mathy checksum mixing characters (intended as last hurdle)
checksum = 0
for i, v in enumerate(ords):
checksum = (checksum * 131 + (v ^ (i + 7))) & 0xFFFFFFFF
if checksum != 0x0001A2B4:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 7:
return False
if not x.isalpha():
return False
if x.lower() != x:
return False
# First and last character constraints
if x[0] != 'c':
return False
if x[-1] != 't':
return False
# Count specific character
if x.count('o') != 2:
return False
# At least 6 distinct characters
if len(set(x)) < 6:
return False
# Sum of ASCII values
if sum(ord(c) for c in x) != 773:
return False
# Weighted sum by position
if sum((i+1) * ord(c) for i, c in enumerate(x)) != 3153:
return False
# Product of positions where 'o' appears (1-indexed)
o_positions = [i+1 for i, c in enumerate(x) if c == 'o']
if len(o_positions) == 2:
if o_positions[0] * o_positions[1] != 10:
return False
# XOR of all character codes
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 121:
return False
# Middle character must be specific letter
if x[3] != 'p':
return False
# Sum of squares of ASCII values
if sum(ord(c)**2 for c in x) != 84815:
return False
return True
import unicodedata
def mystery(x):
# Accept only strings; operate on NFKC-normalized lowercase form.
if not isinstance(x, str):
return False
s = unicodedata.normalize("NFKC", x)
if s.lower() != s:
return False
# Basic shape
if len(s) != 9:
return False
if not s.isalnum():
return False
if len(set(s)) != 9: # all characters distinct
return False
# Positional/digit constraints (obfuscated by splitting)
if s[0] != 'e':
return False
if s[-2] != '4' or s[-1] != '2':
return False
if s.count('y') != 1:
return False
# Character codes and simple aggregates
ords = [ord(c) for c in s]
# 1) Sum of codepoints
if sum(ords) != 887:
return False
# 2) Weighted sum (1-indexed positions times codepoint)
if sum((i + 1) * v for i, v in enumerate(ords)) != 4065:
return False
# 3) XOR of all codepoints
xo = 0
for v in ords:
xo ^= v
if xo != 109:
return False
# 4) Sum of squares
if sum(v * v for v in ords) != 93463:
return False
# 5) Last-digit concatenation: ord % 10 for each character, concatenated as int
if int(''.join(str(v % 10) for v in ords)) != 106412120:
return False
# 6) Product of alphabet positions for letters only (used via vowel positions)
vowels = set('aeiou')
vowel_positions = [i + 1 for i, c in enumerate(s) if c in vowels]
prod_vpos = 1
for p in vowel_positions:
prod_vpos *= p
if prod_vpos != 5: # expects vowels at positions 1 and 5 -> 1*5 = 5
return False
# 7) Product of digits in the string (if any) must equal 8 (4*2)
digit_chars = [int(c) for c in s if c.isdigit()]
prod_digits = 1
for d in digit_chars:
prod_digits *= d
if prod_digits != 8:
return False
# 8) Product of codepoints at prime indices (1-indexed: 2,3,5,7) modulo 997
prime_indices = [2, 3, 5, 7]
prod_prime_pos = 1
for idx in prime_indices:
prod_prime_pos *= ords[idx - 1]
if prod_prime_pos % 997 != 245:
return False
# 9) Digital root of the sum of codepoints must be 5
def digital_root(n):
while n >= 10:
s = 0
while n:
s += n % 10
n //= 10
n = s
return n
if digital_root(sum(ords)) != 5:
return False
# 10) A rolling checksum (32-bit) mixing positions and codepoints
chk = 0
for i, v in enumerate(ords):
chk = (chk * 131 + (v ^ (i + 13))) & 0xFFFFFFFF
if chk != 3231667270:
return False
# Extra obfuscated parity/profile check (makes reverse-engineering noisy)
mask = [(v - ord('a') + 1) % 2 if chr(v).isalpha() else (v % 2) for v in ords]
if mask != [1, 0, 0, 0, 1, 0, 1, 0, 0]:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 5:
return False
if not x.isalpha():
return False
if x.lower() != x:
return False
# All characters must be distinct
if len(set(x)) != 5:
return False
# First character constraint
if x[0] != 'b':
return False
# Last character constraint
if x[-1] != 'z':
return False
# Sum of ASCII values
if sum(ord(c) for c in x) != 549:
return False
# Weighted sum by position (1-indexed)
if sum((i+1) * ord(c) for i, c in enumerate(x)) != 1703:
return False
# XOR of all character codes
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 105:
return False
# Sum of squares of ASCII values
if sum(ord(c)**2 for c in x) != 60633:
return False
# Product of positions where vowels appear (1-indexed)
vowels = set('aeiou')
vowel_positions = [i+1 for i, c in enumerate(x) if c in vowels]
prod = 1
for p in vowel_positions:
prod *= p
if prod != 3:
return False
# Last digit concatenation check
if int(''.join(str(ord(c) % 10) for c in x)) != 88562:
return False
# Middle character must be 'i'
if x[2] != 'i':
return False
return True
import unicodedata
def mystery(x):
# Accept only strings; operate on NFKC-normalized lowercase form.
if not isinstance(x, str):
return False
s = unicodedata.normalize("NFKC", x)
if s.lower() != s:
return False
# Basic shape constraints
if len(s) != 8:
return False
if not s.isalnum():
return False
# Positional/digit/char constraints
if s[0] != 'e':
return False
if s[-1] != '7':
return False
if sum(1 for c in s if c.isdigit()) != 1:
return False
if s.count('z') != 0:
return False
# Compute ordinals and simple aggregates
ords = [ord(c) for c in s]
# 1) Sum of codepoints
if sum(ords) != 796:
return False
# 2) Weighted sum (1-indexed positions times codepoint)
if sum((i + 1) * v for i, v in enumerate(ords)) != 3440:
return False
# 3) XOR of all codepoints
xo = 0
for v in ords:
xo ^= v
if xo != 96:
return False
# 4) Sum of squares
if sum(v * v for v in ords) != 81686:
return False
# 5) Last-digit concatenation: ord % 10 for each character, concatenated as int
if int(''.join(str(v % 10) for v in ords)) != 19852515:
return False
# 6) Vowel-position product (1-indexed)
vowels = set('aeiou')
vpos = [i + 1 for i, c in enumerate(s) if c in vowels]
prod_vpos = 1
for p in vpos:
prod_vpos *= p
if prod_vpos != 28:
return False
# 7) Product of digits present in the string
digit_chars = [int(c) for c in s if c.isdigit()]
prod_digits = 1
for d in digit_chars:
prod_digits *= d
if prod_digits != 7:
return False
# 8) Digital root of sum of codepoints
def digital_root(n):
while n >= 10:
s_ = 0
while n:
s_ += n % 10
n //= 10
n = s_
return n
if digital_root(sum(ords)) != 4:
return False
# 9) Obfuscated per-character parity/profile mask
mask = [((v - ord('a') + 1) % 2) if chr(v).isalpha() else (v % 2) for v in ords]
if mask != [1, 1, 0, 1, 0, 1, 1, 1]:
return False
# 10) Another tiny mixing/xor check (position-mixed)
x2 = 0
for i, v in enumerate(ords):
x2 ^= (v ^ (i + 1))
if x2 != 86:
return False
# 11) Small sanity checks that make reverse-engineering noisy
if len(set(s)) != 7: # exactly one repeated character
return False
if sum(1 for c in s if c in vowels) != 3:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 6:
return False
if not x.isalpha():
return False
if x.lower() != x:
return False
# All distinct characters
if len(set(x)) != 6:
return False
# First character must be 'j'
if x[0] != 'j':
return False
# Last character must be 'e'
if x[-1] != 'e':
return False
# Sum of ASCII values
if sum(ord(c) for c in x) != 645:
return False
# Weighted sum by position (1-indexed)
if sum((i+1) * ord(c) for i, c in enumerate(x)) != 2228:
return False
# XOR of all character codes
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 31:
return False
# Sum of squares
if sum(ord(c)**2 for c in x) != 69499:
return False
# Last digit concatenation
if int(''.join(str(ord(c) % 10) for c in x)) != 670381:
return False
# Vowel positions product (1-indexed)
vowels = set('aeiou')
vowel_positions = [i+1 for i, c in enumerate(x) if c in vowels]
prod = 1
for p in vowel_positions:
prod *= p
if prod != 12:
return False
# Must contain exactly 2 vowels
if sum(1 for c in x if c in vowels) != 2:
return False
# Character at position 3 (index 2)
if x[2] != 'n':
return False
return True
import unicodedata
def mystery(x):
# Operate on normalized lowercase strings only.
if not isinstance(x, str):
return False
s = unicodedata.normalize("NFKC", x)
if s.lower() != s:
return False
# Basic shape constraints
if len(s) != 7:
return False
if not s.isalpha():
return False
# A couple of easy-to-check frequency/uniqueness constraints
if s.count('z') != 2:
return False
if len(set(s)) != 6: # exactly one repeated character (the two 'z's)
return False
# Numeric transforms on characters
ords = [ord(c) for c in s]
# 1) Sum of codepoints
if sum(ords) != 782:
return False
# 2) Weighted sum (1-indexed positions times codepoint)
if sum((i + 1) * v for i, v in enumerate(ords)) != 3046:
return False
# 3) XOR of all codepoints
xo = 0
for v in ords:
xo ^= v
if xo != 18:
return False
# 4) Sum of squares
if sum(v * v for v in ords) != 87866:
return False
# 5) Last-digit concatenation: ord % 10 for each character, concatenated as int
if int(''.join(str(v % 10) for v in ords)) != 2722810:
return False
# 6) Product of vowel positions (1-indexed)
vowels = set('aeiou')
vpos = [i + 1 for i, c in enumerate(s) if c in vowels]
prod_vpos = 1
for p in vpos:
prod_vpos *= p
if prod_vpos != 12:
return False
# 7) Exactly two vowels
if len(vpos) != 2:
return False
# 8) Parity/profile mask (alphabet positions parity: a=1..z=26)
mask = [(ord(c) - ord('a') + 1) % 2 for c in s]
if mask != [0, 1, 0, 0, 0, 1, 0]:
return False
# 9) Product of codepoints at prime indices (1-indexed: 2,3,5,7) modulo 997
prime_indices = [2, 3, 5, 7]
prod_prime_pos = 1
for idx in prime_indices:
prod_prime_pos *= ords[idx - 1]
if prod_prime_pos % 997 != 69:
return False
# 10) Digital root of the sum of codepoints must be 8
def digital_root(n):
while n >= 10:
ssum = 0
while n:
ssum += n % 10
n //= 10
n = ssum
return n
if digital_root(sum(ords)) != 8:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 5:
return False
if not x.isalpha():
return False
if x.lower() != x:
return False
# All characters must be distinct
if len(set(x)) != 5:
return False
# First character must be 'm'
if x[0] != 'm':
return False
# Last character must be 'c'
if x[-1] != 'c':
return False
# Middle character must be 'g'
if x[2] != 'g':
return False
# Sum of ASCII values
if sum(ord(c) for c in x) != 513:
return False
# Weighted sum by position (1-indexed)
if sum((i+1) * ord(c) for i, c in enumerate(x)) != 1527:
return False
# XOR of all character codes
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 97:
return False
# Sum of squares
if sum(ord(c)**2 for c in x) != 52725:
return False
# Last digit concatenation
if int(''.join(str(ord(c) % 10) for c in x)) != 97359:
return False
# Vowel positions product (1-indexed)
vowels = set('aeiou')
vowel_positions = [i+1 for i, c in enumerate(x) if c in vowels]
prod = 1
for p in vowel_positions:
prod *= p
if prod != 8:
return False
# Must contain exactly 2 vowels
if sum(1 for c in x if c in vowels) != 2:
return False
return True