def mystery(x):
if not isinstance(x, str):
return False
key = 0x2a
data = [0x41, 0x58, 0x53, 0x5a, 0x5e, 0x45, 0x44, 0x43, 0x5e, 0x4f]
s = ''.join(chr(b ^ key) for b in data)
return x == s
def mystery(x):
if not isinstance(x, int):
return False
if x < 1 or x > 10000:
return False
# Calculate sum of proper divisors
divisor_sum = 0
for i in range(1, x):
if x % i == 0:
divisor_sum += i
# Check if x is a perfect number greater than 10
return divisor_sum == x and x > 10
def mystery(x):
if not isinstance(x, str):
return False
key = 0x1337
data = [0x46, 0xc6, 0x8d, 0xc0, 0xd2, 0x70, 0x30]
s = ''
for b in data:
s += chr(b ^ (key % 256))
key = (key * 17 + 13) % 65537
return x == s
def mystery(x):
if not isinstance(x, int):
return False
if x < 10 or x > 1000000:
return False
import math
digit_factorials_sum = sum(math.factorial(int(d)) for d in str(x))
return x == digit_factorials_sum
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 10:
return False
v = [ord(c) for c in x]
key = 0x5a
for i in range(10):
v[i] ^= key
key = (key * 37 + 13) % 256
target = [0x32, 0x6e, 0x4a, 0x41, 0x16, 0xbe, 0x1e, 0xfb, 0xde, 0xa2]
return v == target
def mystery(x):
if not isinstance(x, int) or x < 1 or x > 1000000:
return False
square_str = str(x * x)
for split_pos in range(1, len(square_str)):
left = int(square_str[:split_pos])
right = int(square_str[split_pos:])
if left > 0 and right > 0 and left + right == x:
return True
return False
def mystery(x):
if not isinstance(x, str) or len(x) != 10:
return False
key = 0x1337
data = [0x5a, 0xca, 0x9f, 0xda, 0xeb, 0x1f, 0x28, 0x3f, 0x21, 0xea]
s = ''
for b in data:
s += chr(b ^ (key % 256))
key = (key * 17 + 13) % 65537
return x == s
def mystery(x):
if not isinstance(x, int):
return False
if x < 1 or x > 1000000:
return False
def is_happy(n):
seen = set()
while n != 1 and n not in seen:
seen.add(n)
n = sum(int(d) ** 2 for d in str(n))
return n == 1
return is_happy(x)
def mystery(x):
if not isinstance(x, str) or len(x) != 11:
return False
key = 0x1234
data = [0x5b, 0x80, 0xa1, 0xb5, 0x4a, 0x5d, 0xfb, 0x18, 0x94, 0xab, 0xef]
s = ''
for b in data:
s += chr(b ^ (key % 256))
key = (key * 19 + 7) % 65537
return x == s
def mystery(x):
if not isinstance(x, int):
return False
if x < 1 or x > 1000000:
return False
# Get digits
digits = [int(d) for d in str(x)]
if len(digits) == 1:
return False
# Generate Fibonacci-like sequence
sequence = digits[:]
# Keep extending until we exceed x or find it
while sequence[-1] < x:
next_val = sum(sequence[-len(digits):])
sequence.append(next_val)
return x in sequence