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July 2, 2012 00:58
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Euler Project in Ruby - Problem 9
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# Euclid's formula yields Pythagorean triples for integers m and n with m < n: | |
# a = m**2 - n**2 ; b = 2*m*n ; c = m**2 + n**2 | |
x = 1000 | |
def euclids upto | |
result = [] | |
(2..upto).each do |m| # Start at 2 as 1 results nothing anyway | |
(1...m).each do |n| # Euclid's formula only works for m > n | |
result << [m**2 - n**2, 2*m*n, m**2 + n**2] | |
end | |
end | |
result | |
end | |
# Calling Euclids on n/2 suffices as m + n < x | |
euclids(x/2).each do |triple| | |
a, b, c = triple[0], triple[1], triple[2] | |
if a + b + c == x | |
puts a * b * c | |
break | |
end | |
end |
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very very nice, very nice. i like, very much.