def mystery(x):
if not isinstance(x, str) or len(x) != 5:
return False
if sum(ord(c) for c in x) != 500:
return False
xor = 0
for c in x:
xor ^= ord(c)
if xor != 66:
return False
if not x[0].isupper() or not x[0].isalpha():
return False
if not x[1:].islower() or not x[1:].isalpha():
return False
return x.count(x[2]) == 2
def mystery(x):
if not isinstance(x, int) or x <= 0:
return False
s = str(x)
# Must be a palindrome
if s != s[::-1]:
return False
# Sum of digits must be prime
digit_sum = sum(int(d) for d in s)
if digit_sum < 2:
return False
for i in range(2, int(digit_sum**0.5) + 1):
if digit_sum % i == 0:
return False
# x itself must also be prime
if x < 2:
return False
for i in range(2, int(x**0.5) + 1):
if x % i == 0:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
if not (x.islower() and x.isalpha()):
return False
if sum(ord(c) for c in x) != 600:
return False
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 0:
return False
if len(set(x)) != 5:
return False
if x[0] != 'a':
return False
prod = 1
for c in x:
prod = (prod * ord(c)) % 1000
if prod != 400:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
if not (x.islower() and x.isalpha()):
return False
if sum(ord(c) for c in x) != 682:
return False
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 12:
return False
if x[0] != 'p':
return False
if x.count('z') != 2:
return False
if len(set(x)) != 5:
return False
if x[2] != 'z' or x[3] != 'z':
return False
if x[5] not in 'aeiou':
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
if not (x.islower() and x.isalpha()):
return False
if sum(ord(c) for c in x) != 666:
return False
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 6:
return False
if x[0] != 'h':
return False
if x[-1] != 'y':
return False
if x[2] != x[3]:
return False
if len(set(x)) != 5:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
if not (x.islower() and x.isalpha()):
return False
# ASCII sum must be 880
if sum(ord(c) for c in x) != 880:
return False
# XOR of all characters must be 0
xor_val = 0
for c in x:
xor_val ^= ord(c)
if xor_val != 0:
return False
# Must have exactly 4 unique characters
if len(set(x)) != 4:
return False
# Each unique character appears exactly twice
char_counts = {}
for c in x:
char_counts[c] = char_counts.get(c, 0) + 1
if not all(count == 2 for count in char_counts.values()):
return False
# First and last characters must be different
if x[0] == x[-1]:
return False
# String must not be a palindrome
if x == x[::-1]:
return False
# The sum of character codes at even indices must be 440
if sum(ord(x[i]) for i in range(0, 8, 2)) != 440:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 8:
return False
if not all('a' <= c <= 'z' for c in x):
return False
if x[0] != 'q' or x[-1] != 'z':
return False
if sum(ord(c) for c in x) != 923:
return False
h = 0
for c in x:
h = (h * 31 + ord(c)) % (10**9 + 7)
return h == 538711494
def mystery(x):
if not isinstance(x, int) or x <= 0:
return False
s = str(x)
# Must be exactly 5 digits
if len(s) != 5:
return False
# Must be a palindrome
if s != s[::-1]:
return False
# Sum of digits must be divisible by 7
digit_sum = sum(int(d) for d in s)
if digit_sum % 7 != 0:
return False
# Product of digits must be divisible by 10
digit_prod = 1
for d in s:
digit_prod *= int(d)
if digit_prod % 10 != 0:
return False
# Number itself must be divisible by 11
if x % 11 != 0:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 7:
return False
if not all('a' <= c <= 'z' for c in x):
return False
if x[0] != 'k':
return False
if sum(ord(c) for c in x) != 770:
return False
M = 2**31 - 1
h1 = 0
for c in x:
h1 = (h1 * 37 + ord(c)) % M
h2 = 0
for c in reversed(x):
h2 = (h2 * 53 + ord(c)) % M
return h1 == 716904369 and h2 == 1557328318
def mystery(x):
if not isinstance(x, int) or x < 1000 or x > 9999:
return False
# Must be odd
if x % 2 == 0:
return False
# Must be a perfect square
sqrt_x = int(x ** 0.5)
if sqrt_x * sqrt_x != x:
return False
# Must be divisible by 17
if x % 17 != 0:
return False
# Digits in decreasing order must be [7, 5, 2, 2]
digits = sorted(str(x), reverse=True)
if digits != ['7', '5', '2', '2']:
return False
return True