def mystery(x):
if type(x) is not str or len(x) != 9 or len(set(x)) != 9 or not x.isdecimal():
return False
g = {i%3 + i//3*1j: int(c) for i, c in enumerate(x)}
if any(g[a] + g[b] + g[2*b-a] != sum(g.values()) // 3
for a in g for b in g if a != b and 2*b-a in g):
return False
return int(x) % 17 == 0
def mystery(x):
if type(x) is not str or len(x) != 9 or any(not ('a' <= c <= 'z') for c in x):
return False
y = x[::-1]
y = ''.join(chr(((ord(c) - 97) * 11 + 7 * i) % 26 + 97) for i, c in enumerate(y))
y = ''.join(chr(((ord(c) - 97) * 5 + 3) % 26 + 97) for c in y)
v = [ord(c) - 96 for c in x]
return y == "dfcjxhglt" and sum((i + 1) * n for i, n in enumerate(v)) == 593 and sum(n * n for n in v) == 2519
def mystery(x):
if type(x) is not str or len(x) != 60:
return False
if set(x) != {'R', 'D'}:
return False
if x.count('R') != 30 or x.count('D') != 30:
return False
r = d = 0
area = 0
for move in x:
if move == 'R':
r += 1
area += d
else:
d += 1
if d > r:
return False
turns = sum(1 for i in range(59) if x[i] != x[i+1])
return area == 300 and turns == 11
def mystery(x):
if type(x) is not str or len(x) != 8 or any(not ('a' <= c <= 'z') for c in x):
return False
a = [ord(c) - 97 for c in x]
if len(set(a)) != 8:
return False
b = [a[(3 * i + 1) & 7] for i in range(8)]
c = [((b[i] + i * i + 2) * 7) % 26 for i in range(8)]
if ''.join(chr(v + 97) for v in c) != "hexkwpli":
return False
z = 0
for v in a:
z ^= v
return (
sum(a) == 96
and sum((i + 1) * a[i] for i in range(8)) == 337
and sum(v * v for v in a) == 1806
and sum(a[i] * a[(i + 3) % 8] for i in range(8)) == 1323
and z == 2
)
def mystery(x):
if type(x) is not list or len(x) != 100 or set(x) != set(range(1, 101)):
return False
return all(len(set(x[i] - x[i+d] for i in range(100 - d))) == 100 - d for d in range(1, 100))
def mystery(x):
if type(x) is not str or len(x) != 16 or any(c < '0' or c > '9' for c in x):
return False
m = 10**8
l, r = int(x[:8]), int(x[8:])
for k in (7, 11, 13, 17, 19, 23):
s = sum(int(c) for c in f"{r:08d}")
l, r = r, (l + 37 * r + 11 * s + k) % m
return (l, r) == (99103044, 72190211)
def mystery(x):
if type(x) is not set or len(x) != 99 or any(type(v) is not int or v < 1 or v > 198 for v in x):
return False
d = {i: 0 for i in range(1, 199)}
for a in x:
for b in x:
if a != b:
d[(a - b) % 199] += 1
return all(v == 49 for v in d.values())
def mystery(x):
if type(x) is not str or len(x) != 10 or any(not ('a' <= c <= 'z') for c in x):
return False
a = [ord(c) - 97 for c in x]
if len(set(a)) != 10:
return False
s = sum(a)
if s != 154:
return False
if sum((i + 1) * a[i] for i in range(10)) != 774:
return False
if sum(v * v for v in a) != 2872:
return False
if sum(a[i] * a[(i + 3) % 10] for i in range(10)) != 2599:
return False
if (a[0] ^ a[1] ^ a[2] ^ a[3] ^ a[4] ^ a[5] ^ a[6] ^ a[7] ^ a[8] ^ a[9]) != 6:
return False
r = (s * 3 + 7) % 10
y = x[r:] + x[:r]
z = [ord(y[(7 * i + 3) % 10]) - 97 for i in range(10)]
w = ''.join(chr((9 * v + 4 * i + 2) % 26 + 97) for i, v in enumerate(z))
return w == "qgfrfthvxj"
def mystery(x):
if type(x) is not list or len(x) != 50:
return False
for r in x:
if type(r) is not list or len(r) != 50:
return False
if set(r) - {0, 1}:
return False
if sum(r) != 7:
return False
for i in range(50):
if x[i][i] != 0:
return False
for j in range(i + 1, 50):
if x[i][j] != x[j][i]:
return False
common = sum(x[i][k] & x[j][k] for k in range(50))
if common != (0 if x[i][j] else 1):
return False
return True
def mystery(x):
if type(x) is not str or len(x) != 12 or any(not ('a' <= c <= 'z') for c in x):
return False
a = [ord(c) - 97 for c in x]
if len(set(a)) != 12:
return False
b = [a[(5 * i + 1) % 12] for i in range(12)]
c = [((b[i] * (b[(i + 2) % 12] + 1) + i * i + 7) % 26) for i in range(12)]
if ''.join(chr(v + 97) for v in c) != "frvezkyelmvi":
return False
d = [((c[(3 * i + 1) % 12] + 5 * i + 7) % 26) for i in range(12)]
if ''.join(chr(v + 97) for v in d) != "ylvrsfplmzjf":
return False
return (
sum(a) == 66
and sum((i + 1) * a[i] for i in range(12)) == 517
and sum(a[i] * a[(i + 3) % 12] for i in range(12)) == 287
and sum(a[i] * a[(i + 5) % 12] for i in range(12)) == 381
and (a[0] ^ a[1] ^ a[2] ^ a[3] ^ a[4] ^ a[5] ^ a[6] ^ a[7] ^ a[8] ^ a[9] ^ a[10] ^ a[11]) == 0
)