def mystery(x):
# Input must be a string of length 6
if not isinstance(x, str) or len(x) != 6:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] ^ v[1] == 35) and # Constraint 1
(v[1] + v[2] == 208) and # Constraint 2
(v[3] - v[2] == 12) and # Constraint 3
(v[3] | v[4] == 115) and # Constraint 4
(v[4] & v[5] == 97) and # Constraint 5
(v[0] * v[5] == 8806) and # Constraint 6
(sum(v) == 613) # Constraint 7
)
def mystery(x):
# Input must be a string of length 5
if not isinstance(x, str) or len(x) != 5:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] + v[1] == 219) and # Constraint 1
(v[1] * v[2] == 11433) and # Constraint 2
(v[2] ^ v[3] == 14) and # Constraint 3
(v[3] - v[4] == 6) and # Constraint 4
(v[0] & v[2] == 100) and # Constraint 5
(v[4] | v[0] == 111) and # Constraint 6
(sum(v) == 526) # Constraint 7
)
def mystery(x):
# Input must be a string of length 8
if not isinstance(x, str) or len(x) != 8:
return False
v = [ord(c) for c in x]
# 1. Global Constraint: Polynomial Rolling Hash
# Base 31, Modulo 10^9 + 7
h = 0
for val in v:
h = (h * 31 + val) % 1000000007
if h != 189598799:
return False
# 2. Local Constraints: Arithmetic and Bitwise relations
return (
(v[0] + v[1] == 189) and # Relation between 1st and 2nd char
(v[2] ^ v[3] == 9) and # Relation between 3rd and 4th char
(v[3] + v[4] == 228) and # Relation between 4th and 5th char
(v[4] - v[5] == 5) and # Relation between 5th and 6th char
(v[6] * v[7] == 6160) and # Relation between 7th and 8th char
(v[0] | v[7] == 123) and # Bitwise link between start and end
(v[1] & v[6] == 98) # Bitwise link between 2nd and 7th
)
def mystery(x):
# Input must be a string of length 7
if not isinstance(x, str) or len(x) != 7:
return False
v = [ord(c) for c in x]
# Global Constraint: Polynomial Rolling Hash (Base 31, Modulo 10^9 + 7)
h = 0
MOD = 1000000007
for val in v:
h = (h * 31 + val) % MOD
if h != 80392356:
return False
# Local Constraints: Arithmetic and Bitwise relations
return (
(v[0] + v[1] == 216) and # Relation between 1st and 2nd
(v[1] ^ v[2] == 6) and # Relation between 2nd and 3rd
(v[3] - v[2] == 15) and # Relation between 3rd and 4th
(v[3] + v[4] == 215) and # Relation between 4th and 5th
(v[4] | v[5] == 117) and # Relation between 5th and 6th
(v[5] * v[6] == 13340) and # Relation between 6th and 7th
(v[6] & v[0] == 115) # Bitwise link between 7th and 1st
)
def mystery(x):
# Input must be a string of length 6
if not isinstance(x, str) or len(x) != 6:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] ^ v[1] == 36) and # Constraint 1: XOR relation
(v[1] - v[2] == 20) and # Constraint 2: Arithmetic difference
(v[2] * v[3] == 11155) and # Constraint 3: Product
(v[3] + v[4] == 212) and # Constraint 4: Sum
(v[4] ^ v[5] == 19) and # Constraint 5: XOR relation
(v[0] * v[5] == 9234) and # Constraint 6: Product of ends
((v[0] << 2) ^ v[4] == 293) and # Constraint 7: Shift and XOR
(v[2] | v[5] == 115) and # Constraint 8: Bitwise OR
(v[1] & v[3] == 113) and # Constraint 9: Bitwise AND
(sum(v) == 621) # Constraint 10: Checksum
)
def mystery(x):
# Input must be a string of length 6
if not isinstance(x, str) or len(x) != 6:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] * v[1] == 10395) and # Constraint 1
(v[1] + v[2] == 217) and # Constraint 2
(v[2] ^ v[3] == 24) and # Constraint 3
(v[3] - v[4] == 3) and # Constraint 4
(v[4] | v[5] == 119) and # Constraint 5
(v[5] & v[0] == 98) and # Constraint 6
(v[3] + v[5] == 218) and # Constraint 7
(v[1] ^ v[4] == 12) and # Constraint 8
(sum(v) == 635) # Constraint 9
)
def mystery(x):
# Input must be a string of length 7
if not isinstance(x, str) or len(x) != 7:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] + v[1] == 184) and # Constraint 1: Sum
(v[2] - v[1] == 7) and # Constraint 2: Difference
(v[2] ^ v[3] == 10) and # Constraint 3: XOR
(v[3] * v[4] == 11110) and # Constraint 4: Product
(v[4] ^ v[5] == 7) and # Constraint 5: XOR
(v[5] + v[6] == 225) and # Constraint 6: Sum
(v[6] ^ v[0] == 40) and # Constraint 7: XOR loop
(v[2] & v[4] == 110) and # Constraint 8: Bitwise AND
(sum(v) == 731) # Constraint 9: Total Sum
)
def mystery(x):
# Input must be a string of length 7
if not isinstance(x, str) or len(x) != 7:
return False
v = [ord(c) for c in x]
# Global Constraint: Polynomial Rolling Hash (Base 31, Modulo 10^9 + 7)
h = 0
MOD = 1000000007
for val in v:
h = (h * 31 + val) % MOD
if h != 311789187:
return False
# Local Constraints: Arithmetic and Bitwise relations
return (
(v[0] * v[1] == 13189) and # Relation between 1st and 2nd
(v[1] + v[2] == 236) and # Relation between 2nd and 3rd
(v[2] ^ v[3] == 7) and # Relation between 3rd and 4th
(v[3] - v[4] == 15) and # Relation between 4th and 5th
(v[4] | v[5] == 119) and # Relation between 5th and 6th
(v[5] & v[6] == 112) and # Relation between 6th and 7th
(v[6] ^ v[0] == 20) and # Bitwise link between 7th and 1st
(v[2] + v[5] == 229) # Cross relation between 3rd and 6th
)
def mystery(x):
# Input must be a string of length 8
if not isinstance(x, str) or len(x) != 8:
return False
# Convert characters to their ASCII integer values
v = [ord(c) for c in x]
# A set of bitwise and arithmetic constraints
return (
(v[0] * v[1] == 7128) and # Constraint 1: Product of first two
(v[1] ^ v[2] == 25) and # Constraint 2: XOR relation
(v[2] + v[3] == 218) and # Constraint 3: Sum
(v[3] | v[4] == 109) and # Constraint 4: Bitwise OR
(v[5] - v[4] == 34) and # Constraint 5: Difference
(v[5] * v[6] == 12321) and # Constraint 6: Product
(v[6] ^ v[7] == 1) and # Constraint 7: XOR relation
(v[0] + v[7] == 176) and # Constraint 8: Link between start and end
(sum(v) == 801) # Constraint 9: Checksum
)
def mystery(x):
# Input must be a string of length 6
if not isinstance(x, str) or len(x) != 6:
return False
v = [ord(c) for c in x]
# Global Constraint: Polynomial Rolling Hash (Base 31, Modulo 10^9 + 7)
h = 0
MOD = 1000000007
for val in v:
h = (h * 31 + val) % MOD
if h != 318272041:
return False
# Local Constraints: Arithmetic and Bitwise relations
return (
(v[0] + v[1] == 229) and
(v[1] ^ v[2] == 15) and
(v[2] - v[3] == 0) and
(v[3] * v[4] == 13176) and
(v[4] | v[5] == 109) and
(v[5] & v[0] == 96) and
(v[1] - v[4] == 9) and
(v[2] + v[5] == 223) and
(v[3] ^ v[0] == 10) and
(sum(v) == 682)
)