sol6 Algorithm
The sol6 Algorithm is an innovative machine learning approach designed to tackle complex optimization problems, such as those encountered in scheduling, routing, and resource allocation. It combines the strengths of evolutionary algorithms, which mimic the process of natural selection, and swarm intelligence, which is inspired by the collective behavior of decentralized, self-organized systems such as bird flocks and ant colonies. By integrating these two powerful techniques, the sol6 Algorithm is able to efficiently explore the search space and converge on optimal or near-optimal solutions in a variety of challenging problem domains.
In the sol6 Algorithm, a population of candidate solutions is evolved and adapted over time to better solve the target problem. These solutions are represented as particles that move through the search space, guided by their own memory as well as the collective knowledge of the swarm. The algorithm employs various operators, such as mutation, crossover, and selection, to create new particles and update their positions based on their fitness in solving the problem. The particles communicate and cooperate with each other, sharing information about their best solutions found so far and adjusting their movements accordingly. This collaborative process allows the swarm to effectively balance exploration and exploitation, navigating the search space more efficiently and avoiding local optima. As iterations progress, the swarm converges towards the global optimum, providing an effective and robust approach to solving complex optimization problems.
"""
Problem Statement:
If we list all the natural numbers below 10 that are multiples of 3 or 5,
we get 3,5,6 and 9. The sum of these multiples is 23.
Find the sum of all the multiples of 3 or 5 below N.
"""
def solution(n):
"""Returns the sum of all the multiples of 3 or 5 below n.
>>> solution(3)
0
>>> solution(4)
3
>>> solution(10)
23
>>> solution(600)
83700
"""
a = 3
result = 0
while a < n:
if a % 3 == 0 or a % 5 == 0:
result += a
elif a % 15 == 0:
result -= a
a += 1
return result
if __name__ == "__main__":
print(solution(int(input().strip())))
