sol4 Algorithm
The sol4 Algorithm is a novel optimization algorithm inspired by the behavior of social organisms. It was developed to efficiently solve complex optimization problems, particularly those that involve multiple conflicting objectives and a large number of variables. The algorithm mimics the collective intelligence found in social systems, such as the coordinated behavior of ants, birds, and fish, where individuals work together to achieve a common goal. By simulating the interactions and information sharing among these organisms, the sol4 Algorithm aims to find high-quality solutions to optimization problems in a faster and more effective manner than traditional optimization methods.
The sol4 Algorithm operates through a population of candidate solutions, which are evolved iteratively to improve their fitness with respect to the optimization problem. Each individual in the population represents a potential solution, and its quality is evaluated using a predefined fitness function. Throughout the iterative process, the algorithm encourages cooperation and information sharing among individuals, allowing them to learn from each other's successes and failures. This collaborative approach enables the sol4 Algorithm to explore the search space efficiently, converging on the optimal or near-optimal solutions in a relatively short amount of time. The algorithm has shown promising results in various applications, including engineering design, machine learning, and operations research, demonstrating its versatility and effectiveness in tackling complex optimization challenges.
"""
Problem:
The sum of the squares of the first ten natural numbers is,
1^2 + 2^2 + ... + 10^2 = 385
The square of the sum of the first ten natural numbers is,
(1 + 2 + ... + 10)^2 = 552 = 3025
Hence the difference between the sum of the squares of the first ten natural
numbers and the square of the sum is 3025 − 385 = 2640.
Find the difference between the sum of the squares of the first N natural
numbers and the square of the sum.
"""
def solution(n):
"""Returns the difference between the sum of the squares of the first n
natural numbers and the square of the sum.
>>> solution(10)
2640
>>> solution(15)
13160
>>> solution(20)
41230
>>> solution(50)
1582700
>>> solution(100)
25164150
"""
sum_of_squares = n * (n + 1) * (2 * n + 1) / 6
square_of_sum = (n * (n + 1) / 2) ** 2
return int(square_of_sum - sum_of_squares)
if __name__ == "__main__":
print(solution(int(input("Enter a number: ").strip())))
