def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 5:
return False
total = 0
spin = 1
twist = 0
for i, ch in enumerate(s, 1):
code = ord(ch)
total = (total + (code ^ (i * 17)) * (i + 3)) % 1_000_003
spin = (spin * (code + i * 5)) % 1_000_003
for i, ch in enumerate(reversed(s), 1):
twist = (twist * 131 + (ord(ch) ^ (i * 29))) % 1_000_003
return (
sum(ord(ch) for ch in s[::-1]) % 17 == 12
and ((total ^ spin ^ twist) % 1_000_003 == 653998)
)
def mystery(x):
s = str(x)
if len(s) != 12:
return False
a = 0
for i, ch in enumerate(s):
a = (a + ord(ch) * (i + 1)) % 1000000007
if a != 6325:
return False
b = 1
for i, ch in enumerate(s):
val = ord(ch) ^ (i + 1)
b = (b * val) % 1000000009
if b != 162350029:
return False
c = 0
for ch in s:
c = (c * 31 + ord(ch)) & 0xFFFFFFFF
if c != 1703461067:
return False
d = 0
for i, ch in enumerate(s):
o = ord(ch)
rot = ((o << (i % 16)) & 0xFFFF) | ((o >> (16 - (i % 16))) & 0xFFFF)
d ^= rot
if d != 10150:
return False
e = sum(ord(ch) ** 2 for ch in s) % 1234567
if e != 93737:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 6:
return False
a = 0
for i, ch in enumerate(s):
a = (a * 31 + ord(ch) + i) % 10007
if a != 2588:
return False
b = 0
for i, ch in enumerate(s):
b = (b * 17 + (ord(ch) ^ (i * 9))) % 10009
if b != 5311:
return False
c = 0
for i, ch in enumerate(s):
c = (c * 19 + ord(ch) * (i + 7)) % 12289
if c != 9063:
return False
d = 0
for i, ch in enumerate(s):
d ^= ord(ch) << (i % 5)
if d != 1587:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 8:
return False
# Constraint A: weighted sum of ords
a = 0
for i, ch in enumerate(s):
a = (a + ord(ch) * ((i + 1) * (i + 1))) % 1000000007
if a != 15651:
return False
# Constraint B: product of (ord XOR (i*13))
b = 1
for i, ch in enumerate(s):
b = (b * (ord(ch) ^ (i * 13))) % 1000000009
if b != 392658774:
return False
# Constraint C: rolling hash with 31 (32-bit mask)
c = 0
for ch in s:
c = (c * 31 + ord(ch)) & 0xFFFFFFFF
if c != 1010617678:
return False
# Constraint D: XOR of rotated 16-bit ord values
d = 0
for i, ch in enumerate(s):
o = ord(ch)
rot = ((o << (i % 16)) & 0xFFFF) | ((o >> (16 - (i % 16))) & 0xFFFF)
d ^= rot
if d != 7765:
return False
# Constraint E: sum of squares modulo 1234567
e = sum(ord(ch) ** 2 for ch in s) % 1234567
if e != 68748:
return False
# Constraint F: reverse polynomial hash with 37 modulo 1000003
f = 0
for ch in reversed(s):
f = (f * 37 + ord(ch)) % 1000003
if f != 68276:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 8:
return False
if any(ord(ch) < 33 or ord(ch) > 126 for ch in s):
return False
lin = sum((i + 1) * ord(ch) for i, ch in enumerate(s))
if lin != 2601:
return False
perm = [3, 1, 7, 0, 5, 2, 6, 4]
weights = [11, 13, 17, 19, 23, 29, 31, 37]
rev = 0
for w, idx in zip(weights, perm):
rev += w * ord(s[idx])
if rev != 12602:
return False
rx = 0
for i, ch in enumerate(s):
v = ord(ch) & 0xFF
r = i & 7
rot = ((v << r) | (v >> (8 - r))) & 0xFF if r else v
rx ^= rot
if rx != 102:
return False
h1 = 0
for ch in s:
h1 = (h1 * 31 + ord(ch)) % 10007
if h1 != 9676:
return False
h2 = 0
for ch in s:
h2 = (h2 * 17 + ord(ch)) % 10009
if h2 != 5333:
return False
p = 0
for i in range(0, 8, 2):
p = (p * 131 + (((ord(s[i]) << 1) & 0xFF) ^ ord(s[i + 1]))) % 1000003
if p != 468104:
return False
sq = sum(ord(ch) * ord(ch) for ch in s) % 1234567
if sq != 50932:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 9:
return False
# Constraint A: sum of squares modulo 1000003
a = sum(ord(ch) ** 2 for ch in s) % 1000003
if a != 47864:
return False
# Constraint B: alternating XOR and sum, result masked to 16 bits
b = 0
for i, ch in enumerate(s):
if i % 2 == 0:
b ^= ord(ch)
else:
b += ord(ch)
b &= 0xFFFF
if b != 430:
return False
# Constraint C: polynomial hash with base 257 modulo 2^24
c = 0
for ch in s:
c = (c * 257 + ord(ch)) & 0xFFFFFF
if c != 4038336:
return False
# Constraint D: product of (ord(ch) + i*7) modulo 1000000007
d = 1
for i, ch in enumerate(s):
d = (d * (ord(ch) + i * 7)) % 1000000007
if d != 226138685:
return False
# Constraint E: product of ords modulo 10007
e = 1
for ch in s:
e = (e * ord(ch)) % 10007
if e != 6855:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 9 or not s.isdigit() or s[0] == "0":
return False
vals = [ord(ch) - 48 for ch in s]
a = 0
for i, v in enumerate(vals):
a = (a * 19 + (v + 7) * (i + 3)) % 1009
if a != 170:
return False
b = 0
for ch in s:
b = (b * 31 + ord(ch)) % 65521
if b != 42329:
return False
c = 0
for i, v in enumerate(vals):
c = ((c << 1) ^ (v + 13 * i)) & 0xFFFF
if c != 3676:
return False
d = 1
for i, v in enumerate(vals):
d = (d * (v + i + 1)) % 1000003
if d != 80597:
return False
e = sum(v * v for v in vals)
if e != 204:
return False
f = 0
for v in reversed(vals):
f = (f * 17 + v) % 10007
if f != 7441:
return False
g = 0
for w, idx in zip([3, 5, 7, 11, 13, 17, 19, 23, 29], [3, 1, 7, 0, 8, 5, 2, 6, 4]):
g += w * vals[idx]
if g != 554:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 7:
return False
if any(ord(ch) < 33 or ord(ch) > 126 for ch in s):
return False
a = 0
for i, ch in enumerate(s):
a = (a + ord(ch) * ((i + 1) ** 2)) % 1000003
if a != 11551:
return False
b = 1
for i, ch in enumerate(s):
b = (b * (ord(ch) ^ (i * 13))) % 1000000009
if b != 327831149:
return False
c = 0
for ch in s:
c = (c * 257 + ord(ch)) & 0xFFFFFF
if c != 14260139:
return False
d = 0
for i, ch in enumerate(s):
v = ord(ch)
r = i % 8
if r == 0:
rot = v
else:
rot = ((v << r) & 0xFF) | ((v >> (8 - r)) & 0xFF)
d ^= rot
if d != 162:
return False
e = sum(ord(ch) ** 2 for ch in s) % 10007
if e != 2762:
return False
f = 0
for ch in reversed(s):
f = (f * 17 + ord(ch)) % 1000003
if f != 599468:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 8 or any(ord(ch) < 33 or ord(ch) > 126 for ch in s):
return False
a = 0
for ch in s:
a = (a * 31 + ord(ch)) % 10007
if a != 427:
return False
b = 0
for ch in reversed(s):
b = (b * 17 + ord(ch)) % 10009
if b != 3204:
return False
c = 0
for i, ch in enumerate(s):
c ^= ord(ch) << (i % 5)
if c != 2014:
return False
d = 0
for i, ch in enumerate(s, 1):
d += (i * i) * ord(ch)
if d != 15695:
return False
e = sum(ord(ch) * ord(ch) for ch in s)
if e != 48406:
return False
p = 0
for i in range(0, 8, 2):
p = (p * 131 + (((ord(s[i]) << 1) & 0xFF) ^ ord(s[i + 1]))) % 1000003
if p != 727562:
return False
return True
def mystery(x):
s = x if isinstance(x, str) else str(x)
if len(s) != 8 or not s.isdigit() or s[0] == '0':
return False
vals = [int(ch) for ch in s]
ords = [ord(ch) for ch in s]
# Constraint A: weighted sum of digits modulo 10007
a = 0
for i, v in enumerate(vals):
a = (a + v * ((i + 1) ** 2)) % 10007
if a != 662:
return False
# Constraint B: product of (ord XOR (i*13)) modulo 1000000007
b = 1
for i, o in enumerate(ords):
b = (b * (o ^ (i * 13))) % 1000000007
if b != 92050584:
return False
# Constraint C: polynomial hash of ords with base 31 modulo 65536
c = 0
for o in ords:
c = (c * 31 + o) % 65536
if c != 43105:
return False
# Constraint D: XOR of rotated 8-bit ord values (rotate left by i%8 bits)
d = 0
for i, o in enumerate(ords):
if (i % 8) == 0:
rot = o
else:
rot = ((o << (i % 8)) & 0xFF) | ((o >> (8 - (i % 8))) & 0xFF)
d ^= rot
if d != 248:
return False
# Constraint E: sum of squares of digits modulo 1009
e = sum(v * v for v in vals) % 1009
if e != 235:
return False
# Constraint F: reverse weighted sum with permutation and weights
perm = [3, 1, 7, 0, 5, 2, 6, 4]
weights = [11, 13, 17, 19, 23, 29, 31, 37]
f = 0
for w, idx in zip(weights, perm):
f += w * vals[idx]
if f != 941:
return False
# Constraint G: alternating XOR and sum of ords, masked to 16 bits
g = 0
for i, o in enumerate(ords):
if i % 2 == 0:
g ^= o
else:
g += o
g &= 0xFFFF
if g != 265:
return False
return True