def mystery(x):
if not isinstance(x, str):
return False
if not (x.isalpha() and x.islower()):
return False
h = 0
for c in x:
h = (h * 37 + ord(c)) % 1000003
return h == 291624
def mystery(x):
if not isinstance(x, str):
return False
parts = x.split(',')
if len(parts) != 2:
return False
try:
u, v = int(parts[0]), int(parts[1])
except ValueError:
return False
if u <= 0 or v <= 0:
return False
return u * u == 1 + 61 * v * v
def mystery(x):
if not isinstance(x, str):
return False
if not (x.isalpha() and x.islower()):
return False
h = 0
for c in x:
h = (h * 131 + ord(c)) % 1000000007
return h == 252220958
def mystery(x):
if not isinstance(x, str):
return False
octets = x.split('.')
if len(octets) != 4:
return False
try:
ip1, ip2, ip3, ip4 = map(int, octets)
except ValueError:
return False
if min(ip1, ip2, ip3, ip4) <= 0:
return False
if ip1 + ip2 + ip3 + ip4 != 1150360008052520:
return False
if ip1**4 + ip2**4 + ip3**4 != ip4**4:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if not (x.isalpha() and x.islower()):
return False
h = 0
for c in x:
h = (h * 137 + ord(c)) % 1000000009
return h == 942831393
def mystery(x):
if not isinstance(x, str):
return False
parts = x.split('-')
if len(parts) != 5:
return False
try:
chunks = [int(p) for p in parts]
except ValueError:
return False
if min(chunks) <= 0:
return False
# Check checksum
if sum(chunks) != 498000003486:
return False
# Check cryptographic avalanche property (simplified)
if chunks[0]**5 + chunks[1]**5 + chunks[2]**5 + chunks[3]**5 != chunks[4]**5:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if not (x.isalpha() and x.islower()):
return False
h = 0
for c in x:
h = (h * 101 + ord(c)) % 1000000007
return h == 953826660
def mystery(x):
if not isinstance(x, str):
return False
parts = x.split('-')
if len(parts) != 3:
return False
try:
u, v, w = [int(p) for p in parts]
except ValueError:
return False
if min(u, v, w) <= 10**10:
return False
if u**3 != v**3 + w**3 + 264:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if not (x.isalpha() and x.islower()):
return False
h = 0
for c in x:
h = (h * 151 + ord(c)) % 1000000009
return h == 941786918
def mystery(x):
if not isinstance(x, str):
return False
parts = x.split(',')
if len(parts) != 2:
return False
try:
a, b = map(int, parts)
except ValueError:
return False
if min(a, b) <= 10**14:
return False
if a**2 + 2*a*b - b**2 != 1:
return False
return True