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Ruby - Pythagorean Triples
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# all unique pythagorean triples | |
# sorted by area | |
# range of numbers we are checking | |
one_to_hundred = (1..100).to_a | |
# ================================================== | |
# OPTION 1: vanilla/intertwined logic -> bleh | |
# ================================================== | |
triples = Set.new | |
for a in one_to_hundred | |
for b in one_to_hundred | |
# calc c | |
c = Math.sqrt(a ** 2 + b ** 2) | |
# calc area | |
area = a * c / 2 | |
# only add it if it's a triple | |
triples << { a:, b:, c:, area: } if c.to_i == c | |
end | |
end | |
triples = triples.sort_by { |triangle| triangle[:area] } | |
puts triples | |
# ================================================== | |
# end vanilla | |
# ================================================== | |
# ================================================== | |
# OPTION 2: lambda chains | |
# ================================================== | |
triples = one_to_hundred.product(one_to_hundred).map do |a, b| | |
# given permutations of side a, and side b (product) | |
# calculate the hypotenuse | |
{ a:, b:, c: Math.sqrt(a ** 2 + b ** 2) } | |
end.find_all do |triangle| | |
# where area is a whole number (pythagaroean triple) | |
triangle[:c].to_i == triangle[:c] | |
end.uniq do |triangle| | |
# unique based on sorted sides | |
triangle.values.map(&:to_i).sort | |
end.map do |triangle| | |
# calculate the area | |
triangle.merge(area: (triangle[:a] * triangle[:c]) / 2) | |
end.sort_by do |triangle| | |
# sort by area | |
triangle[:area] | |
end | |
puts triples | |
# ================================================== | |
# end lambda chanins | |
# ================================================== | |
# ================================================== | |
# OPTION 3: OO based (kind of overkill for the problem) | |
# ================================================== | |
class Triangle | |
attr_accessor :a, :b, :c | |
def initialize(a, b) | |
@a = a | |
@b = b | |
@c = Math.sqrt(a ** 2 + b ** 2) | |
end | |
def triple? | |
@c.to_i == @c | |
end | |
def area | |
@a * @c / 2 | |
end | |
def eql? other | |
[@a, @b, @c].sort == [other.a, other.b, other.c].sort | |
end | |
def to_s | |
"Triangle(#{@a}, #{@b}, #{@c})" | |
end | |
end | |
triples = one_to_hundred.product(one_to_hundred) | |
.map { |a, b| Triangle.new(a, b) } | |
.find_all { |triangle| triangle.triple? } | |
.uniq | |
.sort_by { |triangle| triangle.area } | |
puts triples | |
# same as above, but condensed using pointers to lambdas/methods | |
triples = one_to_hundred.product(one_to_hundred) | |
.map { |a, b| Triangle.new(a, b) } | |
.find_all(&:triple?) | |
.uniq | |
.sort_by(&:area) | |
puts triples | |
# ================================================== | |
# end OO based | |
# ================================================== |
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