def mystery(x):
if not isinstance(x, int):
return False
if x < 100000 or x > 999999:
return False
s = str(x)
if s != s[::-1]:
return False
if x % 7 != 0:
return False
if x % 13 != 0:
return False
digits = [int(c) for c in s]
if digits[0] * digits[1] * digits[2] != 24:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 100000 or x > 999999:
return False
s = str(x)
if len(s) != 6 or s != s[::-1]:
return False
digits = [int(c) for c in s]
if digits[0] * digits[1] * digits[2] != 30:
return False
if digits[0] + digits[1] + digits[2] != 10:
return False
if digits[1] * digits[2] * digits[3] != 75:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 8:
return False
if not x.isalpha() or not x.islower():
return False
vals = [ord(c) - ord('a') for c in x]
if sum(vals) != 50:
return False
if (vals[0] * vals[1] + vals[2] * vals[3]) % 17 != 5:
return False
if (vals[4] - vals[5] + vals[6] - vals[7]) != 3:
return False
if vals[0] != vals[7]:
return False
if x[1:4] != x[4:7][::-1]:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 1000 or x > 9999:
return False
s = str(x)
if len(s) != 4:
return False
digits = [int(c) for c in s]
if sum(digits) != 15:
return False
if digits[0] * digits[1] * digits[2] * digits[3] != 120:
return False
if x % 17 != 0:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 10:
return False
if not all(c in '0123456789' for c in x):
return False
d = [int(c) for c in x]
if d[0] != d[9]:
return False
if d[0] + d[1] + d[2] != 7:
return False
if d[3] * d[4] != 12:
return False
if d[5] - d[6] != 3:
return False
if (d[7] + d[8] + d[9]) % 5 != 2:
return False
if d[1]**2 + d[2]**2 + d[7]**2 != 50:
return False
if d[3] + d[5] + d[6] + d[8] != 14:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 10000 or x > 99999:
return False
s = str(x)
if len(s) != 5:
return False
digits = [int(c) for c in s]
if digits[0] == 0:
return False
if sum(digits) != 20:
return False
prod = 1
for d in digits:
prod *= d
if prod != 720:
return False
if digits[1] * digits[3] != 20:
return False
if x % 23 != 0:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 100000 or x > 999999:
return False
s = str(x)
d = [int(c) for c in s]
if sum(d) != 25:
return False
if d[0]*d[5] != 18:
return False
if d[1]*d[4] != 12:
return False
if d[2]*d[3] != 20:
return False
if d[0] > d[1] > d[2]:
return False
if (d[0] + d[2] + d[4]) - (d[1] + d[3] + d[5]) != 1:
return False
if x % 17 != 12:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 100000 or x > 999999:
return False
s = str(x)
if len(s) != 6:
return False
digits = [int(c) for c in s]
if sum(digits) != 21:
return False
if digits[0] * digits[1] * digits[2] != 6:
return False
if digits[3] * digits[4] * digits[5] != 120:
return False
if digits[1] * digits[4] != 10:
return False
if digits[0] + digits[5] != 7:
return False
if digits[2] + digits[3] != 7:
return False
if digits[0] + digits[3] != 5:
return False
return True
def mystery(x):
if not isinstance(x, str):
return False
if len(x) != 7:
return False
if not x.isalpha() or not x.islower():
return False
v = [ord(c) - ord('a') for c in x]
if sum(v) != 77:
return False
if v[0] + v[6] != 25:
return False
if v[1] * v[5] != 144:
return False
if v[2] - v[4] != 5:
return False
if v[3] != 13:
return False
if (v[0] * v[2] + v[4] * v[6]) % 23 != 7:
return False
if v[0] < v[1] < v[2]:
return False
return True
def mystery(x):
if not isinstance(x, int):
return False
if x < 10000 or x > 99999:
return False
s = str(x)
if len(s) != 5:
return False
digits = [int(c) for c in s]
if digits[0] == 0:
return False
if sum(digits) != 23:
return False
if digits[0] * digits[4] != 36:
return False
if digits[1] * digits[3] != 20:
return False
if sum(digits[:3]) != 14:
return False
if sum(digits[2:]) != 10:
return False
return True