def mystery(x):
if not isinstance(x, str): return False
if len(x) != 12: return False
if not x.isalnum(): return False
if not x[0].isupper(): return False
if not x[-1].isdigit(): return False
if len(set(x)) != 12: return False
a = sum(ord(c) for c in x[::2])
b = sum(ord(c) for c in x[1::2])
if not (a == b == 333): return False
return (ord(x[0]) ^ ord(x[-1])) == 118 and x.count('A') == 1
import math
def mystery(x):
if not isinstance(x, int):
return False
if x <= 1000000000:
return False
s = str(x)
if s != s[::-1]:
return False
if x % 7 != 0:
return False
r = math.isqrt(x)
if r * r != x:
return False
if str(r) != str(r)[::-1]:
return False
if r % 13 != 0:
return False
return True
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 6: return False
if not x.isdigit(): return False
digits = [int(c) for c in x]
if sum(digits) != 27: return False
if digits[2] ** 2 + digits[3] ** 2 != 41: return False
if digits[0] * digits[1] != digits[4] + digits[5] * 2: return False
if x[0] == x[-1]: return False
n = int(x)
if (n * 7) % 13 != 5: return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 8:
return False
if not all(c in '0123456789abcdef' for c in x):
return False
if len(set(x)) != 8:
return False
digits = [int(c, 16) for c in x]
if sum(digits) != 76:
return False
if sum(d**2 for d in digits) != 860:
return False
if digits[0] * digits[1] != 48:
return False
if digits[6] * digits[7] != 105:
return False
n = int(x, 16)
if n % 17 != 2:
return False
return True
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 10: return False
if not x.isalpha(): return False
if not x.islower(): return False
vals = [ord(c) - ord('a') for c in x]
if sum(vals) != 130: return False
if vals[0] != vals[-1]: return False
if vals[3] * vals[4] != 156: return False
if vals[1] + vals[8] != vals[2] + vals[7]: return False
if (vals[5] - vals[6]) ** 2 != 1: return False
p = 1
for v in vals:
p = (p * 31 + v) % 1000003
if p != 253833: return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 12:
return False
if not x.islower():
return False
if len(set(x)) != 12:
return False
if 'z' in x:
return False
vowels = set('aeiou')
if sum(1 for c in x if c in vowels) != 3:
return False
if x[0] in vowels or x[-1] in vowels:
return False
if sum(ord(c) - ord('a') for c in x) != 107:
return False
if (ord(x[0]) - ord('a')) * (ord(x[-1]) - ord('a')) != 17:
return False
h = 0
for c in x:
h = (h * 31 + ord(c)) % 1000000007
if h != 459679604:
return False
return True
def mystery(x):
if not isinstance(x, str): return False
if len(x) != 7: return False
if not x.isdigit(): return False
d = [int(c) for c in x]
if sum(d) != 35: return False
if d[0] * d[1] != 12: return False
if d[0]**2 + d[1]**2 + d[2]**2 != 121: return False
if d[2] + d[3] + d[4] != 15: return False
if d[5] - d[6] != 2: return False
if d[0] == d[6]: return False
n = int(x)
if n % 91 != 17: return False
if (d[3] * 7 + d[4]) % 11 != 0: return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 16:
return False
if not x.isalnum():
return False
digits = [c for c in x if c.isdigit()]
uppers = [c for c in x if c.isupper()]
lowers = [c for c in x if c.islower()]
if len(digits) != 6 or len(uppers) != 5 or len(lowers) != 5:
return False
if sum(int(c) for c in digits) != 30:
return False
if sum(ord(c) for c in uppers) != 400:
return False
if sum(ord(c) for c in lowers) != 550:
return False
if not x[0].isdigit():
return False
if not x[-1].islower():
return False
for i in range(len(digits)-1):
if digits[i] >= digits[i+1]:
return False
for i in range(len(uppers)-1):
if ord(uppers[i]) <= ord(uppers[i+1]):
return False
for i in range(len(lowers)-1):
if ord(lowers[i]) >= ord(lowers[i+1]):
return False
if int(x, 36) % 17 != 3:
return False
h = 0
for c in x:
h = (h * 31 + ord(c)) % 1000000007
if h != 514754289:
return False
return True
def mystery(x):
if not isinstance(x, int): return False
if x < 100000 or x >= 1000000: return False
s = str(x)
if len(set(s)) != 6: return False
if sum(int(c) for c in s) != 27: return False
if x % 143 != 0: return False
if set(str(x)) != set(str(x*2)): return False
if set(str(x)) != set(str(x*3)): return False
if set(str(x)) != set(str(x*4)): return False
if set(str(x)) != set(str(x*5)): return False
if set(str(x)) != set(str(x*6)): return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 10:
return False
if len(set(x)) != 10:
return False
for c in x:
if ord(c) < 33 or ord(c) > 126:
return False
if not (x[0].isupper() and x[4].isupper() and x[8].isupper()):
return False
if not (x[1].islower() and x[5].islower() and x[9].islower()):
return False
if not (x[2].isdigit() and x[6].isdigit()):
return False
if not (not x[3].isalnum() and not x[7].isalnum()):
return False
if sum(ord(c) for c in (x[0], x[4], x[8])) != 198:
return False
if not (ord(x[0]) < ord(x[4]) < ord(x[8])):
return False
if (ord(x[1]) * ord(x[5]) * ord(x[9])) % 100 != 94:
return False
if not (ord(x[1]) < ord(x[5]) < ord(x[9])):
return False
d1 = int(x[2])
d2 = int(x[6])
if d1 + d2 != 3:
return False
if d1 * d2 != 2:
return False
if not (d1 < d2):
return False
a = ord(x[3])
b = ord(x[7])
if a % 2 != 0 or b % 2 != 1:
return False
if a + b != 99:
return False
if abs(a - b) != 29:
return False
if not (a > b):
return False
xor_all = 0
for c in x:
xor_all ^= ord(c)
if xor_all != 64:
return False
h = 0
for c in x:
h = (h * 31 + ord(c)) % 1000000007
if h != 758337816:
return False
return True