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#!/usr/bin/ruby
#
# See https://theweeklychallenge.org/blog/perl-weekly-challenge-148
#
#
# Run as: ruby ch-2.rb
#
count = 5
out = []
a_i = 0
b_i = 1
c_i = 2
sum_i = 3
for i in 0 .. count - 1 do
out . push ([999999, 999999, 999999, 999999 * 3])
end
max_index = 0
k = 0
while 3 * k + 2 < out [max_index] [sum_i] do
a = 3 * k + 2
f1 = k + 1
f2 = 8 * k + 5
d1 = []
for i in 1 .. f1 do
if i * i > f1 then
next
end
if f1 % i == 0 then
d1 . push (i)
if i != f1 / i then
d1 . push (f1 / i)
end
end
end
d2 = []
for i in 1 .. f2 do
if i * i > f2 then
next
end
if f2 % i == 0 then
s1 = Math . sqrt(i) . floor()
s2 = Math . sqrt(f2 / i) . floor()
if s1 * s1 == i then
d2 . push (s1)
end
if (s2 * s2 == f2 / i) && s1 != s2 then
d2 . push (s2)
end
end
end
d1 . each do |d1v|
d2 . each do |d2v|
b = d1v * d2v
c = f1 * f1 * f2 / (b * b)
if a + b + c < out [max_index] [sum_i] then
seen = false
out . each do |entry|
if entry [a_i] == a && entry [b_i] == b then
seen = true
end
end
if seen then
next
end
out [max_index] = [a, b, c, a + b + c]
max_index = 0
max_sum = out [max_index] [sum_i]
for i in 1 .. count - 1 do
if max_sum < out [i] [sum_i] then
max_index = i
max_sum = out [i] [sum_i]
end
end
end
end
end
k = k + 1
if k > 10 then
break
end
end
out . each do |entry|
printf "%d %d %d\n", entry [a_i], entry [b_i], entry [c_i]
end
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