def mystery(x):
if not isinstance(x, str) or len(x) != 5:
return False
s = [ord(c) for c in x]
return sum(s) == 530 and s[0] * s[1] * s[2] * s[3] * s[4] == 13272505344
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
if not x.isalpha():
return False
target = [80, 89, 84, 72, 79, 78, 73, 67]
result = [(ord(c.upper()) - 65 + i * i) % 26 + 65 for i, c in enumerate(x)]
return result == target
def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
s = [ord(c) for c in x]
if sum(s) != 668:
return False
p = 1
for c in s:
p *= c
if p != 1886433010176:
return False
return sum(c * c for c in s) == 74606
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 8:
return False
if not x.islower() or not x.isalpha():
return False
# Constraint 1: polynomial rolling hash
h = 0
for c in x:
h = (h * 131 + ord(c)) % (10**9 + 7)
if h != 248711814:
return False
# Constraint 2: alternating sign sum of ASCII values
alt_sum = sum(ord(x[i]) * (1 if i % 2 == 0 else -1) for i in range(8))
return alt_sum == 10
def mystery(x):
if not isinstance(x, str) or len(x) != 7:
return False
s = [ord(c) for c in x]
if sum(s) != 747:
return False
p = 1
for c in s:
p *= c
if p != 154948411488000:
return False
return sum(c * c for c in s) == 80103
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
if not x.islower() or not x.isalpha():
return False
# Constraint 1: polynomial rolling hash (base 131)
h = 0
for c in x:
h = (h * 131 + ord(c)) % (10**9 + 7)
if h != 571110587:
return False
# Constraint 2: alternating sign sum of ASCII values
alt = sum(ord(x[i]) * (1 if i % 2 == 0 else -1) for i in range(8))
if alt != -16:
return False
# Constraint 3: polynomial rolling hash (base 137)
h2 = 0
for c in x:
h2 = (h2 * 137 + ord(c)) % (10**9 + 9)
if h2 != 205099035:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
s = [ord(c) for c in x]
if sum(s) != 836:
return False
p = 1
for c in s:
p *= c
if p != 14053379539680000:
return False
if sum(c * c for c in s) != 87624:
return False
h = 0
for c in s:
h = (h * 131 + c) % (10**9 + 7)
if h != 526007723:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
if not x.islower() or not x.isalpha():
return False
# Constraint 1: alternating sign sum of ASCII values
alt = sum(ord(x[i]) * (1 if i % 2 == 0 else -1) for i in range(6))
if alt != -8:
return False
# Constraint 2: polynomial rolling hash (base 131, mod 10^9+7)
h = 0
for c in x:
h = (h * 131 + ord(c)) % (10**9 + 7)
if h != 860887633:
return False
# Constraint 3: polynomial rolling hash (base 137, mod 10^9+9)
h2 = 0
for c in x:
h2 = (h2 * 137 + ord(c)) % (10**9 + 9)
if h2 != 822509333:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 7:
return False
if not x.islower() or not x.isalpha():
return False
alt = sum(ord(x[i]) * (1 if i % 2 == 0 else -1) for i in range(7))
if alt != 91:
return False
h = 0
for c in x:
h = (h * 131 + ord(c)) % (10**9 + 7)
if h != 797351941:
return False
h2 = 0
for c in x:
h2 = (h2 * 137 + ord(c)) % (10**9 + 9)
if h2 != 827057095:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) != 8:
return False
if not x.islower() or not x.isalpha():
return False
# Constraint 1: alternating sign sum of ASCII values
alt = sum(ord(x[i]) * (1 if i % 2 == 0 else -1) for i in range(8))
if alt != 8:
return False
# Constraint 2: polynomial rolling hash (base 131, mod 10^9+7)
h = 0
for c in x:
h = (h * 131 + ord(c)) % (10**9 + 7)
if h != 956830731:
return False
# Constraint 3: polynomial rolling hash (base 137, mod 10^9+9)
h2 = 0
for c in x:
h2 = (h2 * 137 + ord(c)) % (10**9 + 9)
if h2 != 553988357:
return False
return True