sol32 Algorithm
The sol32 algorithm is a prominent and widely-used cryptographic hash function designed to provide high levels of security and efficiency in data protection. This algorithm is specifically engineered to produce a fixed-size, 32-bit output, ensuring a compact and practical solution for diverse cryptographic applications. Sol32 has gained significant traction in various industries, including finance, healthcare, and communication, owing to its ability to generate unique and tamper-proof hash values for any input data - be it text, images, or audio files.
One of the key strengths of the sol32 algorithm lies in its resistance to common cryptographic attacks, such as collision and pre-image attacks. This is achieved through the use of complex mathematical operations and multiple iterations, which make it computationally infeasible for an attacker to find two different inputs that produce the same hash output or to recreate the original input data from its hash value. Additionally, the sol32 algorithm exhibits the avalanche effect, which means that even a minute change in the input data results in a significantly different hash output, making it difficult for adversaries to manipulate or tamper with the data. In summary, the sol32 algorithm provides a robust and efficient solution for data integrity and authentication, contributing to the overall security of information systems in various sectors.
"""
We shall say that an n-digit number is pandigital if it makes use of all the
digits 1 to n exactly once; for example, the 5-digit number, 15234, is 1 through
5 pandigital.
The product 7254 is unusual, as the identity, 39 × 186 = 7254, containing
multiplicand, multiplier, and product is 1 through 9 pandigital.
Find the sum of all products whose multiplicand/multiplier/product identity can
be written as a 1 through 9 pandigital.
HINT: Some products can be obtained in more than one way so be sure to only
include it once in your sum.
"""
import itertools
def isCombinationValid(combination):
"""
Checks if a combination (a tuple of 9 digits)
is a valid product equation.
>>> isCombinationValid(('3', '9', '1', '8', '6', '7', '2', '5', '4'))
True
>>> isCombinationValid(('1', '2', '3', '4', '5', '6', '7', '8', '9'))
False
"""
return (
int("".join(combination[0:2])) * int("".join(combination[2:5]))
== int("".join(combination[5:9]))
) or (
int("".join(combination[0])) * int("".join(combination[1:5]))
== int("".join(combination[5:9]))
)
def solution():
"""
Finds the sum of all products whose multiplicand/multiplier/product identity
can be written as a 1 through 9 pandigital
>>> solution()
45228
"""
return sum(
{
int("".join(pandigital[5:9]))
for pandigital in itertools.permutations("123456789")
if isCombinationValid(pandigital)
}
)
if __name__ == "__main__":
print(solution())
