def mystery(x):
if not isinstance(x, str) or len(x) != 6:
return False
if not x.isalpha():
return False
h1 = 0
h2 = 0
for c in x:
h1 = (h1 * 131 + ord(c)) % (10**9 + 7)
h2 = (h2 * 137 + ord(c)) % (10**9 + 9)
return h1 == 92015983 and h2 == 470148460
def mystery(x):
if not isinstance(x, str) or len(x) != 256:
return False
if set(x) != {'.', '*'}:
return False
if x.count('*') != 5:
return False
grid = [list(x[i:i+16]) for i in range(0, 256, 16)]
for _ in range(1025):
new_grid = [['.' for _ in range(16)] for _ in range(16)]
for r in range(16):
for c in range(16):
neighbors = 0
for dr in (-1, 0, 1):
for dc in (-1, 0, 1):
if dr == 0 and dc == 0:
continue
if grid[(r + dr) % 16][(c + dc) % 16] == '*':
neighbors += 1
if grid[r][c] == '*':
if neighbors in (2, 3):
new_grid[r][c] = '*'
else:
if neighbors == 3:
new_grid[r][c] = '*'
grid = new_grid
final_state = "".join("".join(row) for row in grid)
target = (
"................"
"*.*............."
".**............."
".*.............." +
"................" * 12
)
return final_state == target
def mystery(x):
if not isinstance(x, int):
return False
if x < 10**15 or x >= 10**16:
return False
s = str(x)
if len(set(s)) != 10:
return False
if s[0] != '9' or s[-1] != '7':
return False
if int(s[:8]) % 17 != 13:
return False
if int(s[8:]) % 19 != 5:
return False
if sum(int(d) for d in s) != 80:
return False
return True
def mystery(x):
if not isinstance(x, str) or len(x) > 15:
return False
board = list("ABCDEFGH ")
for move in x:
idx = board.index(' ')
if move == 'U' and idx > 2:
board[idx], board[idx-3] = board[idx-3], board[idx]
elif move == 'D' and idx < 6:
board[idx], board[idx+3] = board[idx+3], board[idx]
elif move == 'L' and idx % 3 > 0:
board[idx], board[idx-1] = board[idx-1], board[idx]
elif move == 'R' and idx % 3 < 2:
board[idx], board[idx+1] = board[idx+1], board[idx]
else:
return False
return "".join(board) == "CDE AFGBH"
def mystery(x):
if not isinstance(x, int):
return False
if x < 10**11 or x >= 10**12:
return False
return str(x * x).endswith(str(x))
def mystery(x):
if not isinstance(x, str) or len(x) != 200:
return False
if set(x) != {'<', 'S'}:
return False
if 'SS' in x or '<<<<' in x:
return False
if not x.startswith('<'):
return False
arr = list(range(101))
for move in x:
if move == '<':
arr = arr[1:] + [arr[0]]
else:
arr[0], arr[1] = arr[1], arr[0]
return arr == list(range(101))
def mystery(x):
if not isinstance(x, str) or len(x) != 10:
return False
if not (x.isalpha() and x.islower()):
return False
p = 10**9 + 7
q = 10**9 + 9
h1 = 0
for c in x:
h1 = (h1 * 31 + ord(c)) % p
h2 = 0
for c in reversed(x):
h2 = (h2 * 37 + ord(c)) % q
return h1 == 140777271 and h2 == 86166164
def mystery(x):
if not isinstance(x, str) or len(x) != 1500:
return False
if set(x) != {'0', '1'}:
return False
if x.count('1') != 750:
return False
a, b, c, d = 1, 0, 0, 1
for m in x:
if m == '1':
a = (a + c) % 1000
b = (b + d) % 1000
else:
c = (a + c) % 1000
d = (b + d) % 1000
return a == 1 and b == 0 and c == 0 and d == 1
def mystery(x):
if not isinstance(x, str) or len(x) != 10:
return False
if not (x.isalpha() and x.islower()):
return False
p = 10**9 + 7
q = 10**9 + 9
h1 = 0
for c in x:
h1 = (h1 * 31 + ord(c)) % p
h2 = 0
for c in reversed(x):
h2 = (h2 * 37 + ord(c)) % q
h3 = 0
for i, c in enumerate(x):
h3 ^= ord(c) * (i + 1)
return h1 == 327998471 and h2 == 547516582 and h3 == 1691
def mystery(x):
if not isinstance(x, str) or len(x) > 100:
return False
if not set(x).issubset({'U', 'D', 'L', 'R'}):
return False
N = 50
grid = [[r * N + c for c in range(N)] for r in range(N)]
for move in x:
if move == 'U':
col = [grid[r][0] for r in range(N)]
for r in range(N):
grid[r][0] = col[(r + 1) % N]
elif move == 'D':
col = [grid[r][0] for r in range(N)]
for r in range(N):
grid[r][0] = col[(r - 1) % N]
elif move == 'L':
row = [grid[0][c] for c in range(N)]
for c in range(N):
grid[0][c] = row[(c + 1) % N]
elif move == 'R':
row = [grid[0][c] for c in range(N)]
for c in range(N):
grid[0][c] = row[(c - 1) % N]
for r in range(N):
for c in range(N):
target = r * N + c
if r == 0 and c == 0:
target = 750
elif r == 0 and c == 15:
target = 0
elif r == 15 and c == 0:
target = 15
if grid[r][c] != target:
return False
return True