TheAlgorithms-Ruby/project_euler/problem_006/sol1.rb
2023-02-19 10:41:20 +01:00

35 lines
835 B
Ruby

#Project Euler Problem 6: #https://projecteuler.net/problem=6
#Sum square difference
#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 = 55^2 = 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 one
#hundred natural numbers and the square of the sum.
def solution?(num)
x = 1
y = 1
result = 1
gap = 3
while y < num
x += gap
gap += 2
y += 1
result += x
end
r_n_pow2_plus_n_pow2 = result
r_sum_n_pow2 = (((num / 2) + 0.5) * num) ** 2
r_sum_n_pow2 - r_n_pow2_plus_n_pow2
end
answer = 0
answer = solution?(10)
p answer