6.6: Putting It Together
- Page ID
- 84716
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Now instead of displaying all of the triples, we’ll add an if
statement and display only Pythagorean triples:
for a=1:3
for b=1:4
for c=1:a+b
if is_pythagorean(a, b, c)
disp([a,b,c])
end
end
end
end
The result is just one triple:
>> find_triples
3 4 5
You might notice that we’re wasting some effort here. After checking the case when a
is 1 and b
is 2, there’s no point in checking the case when a
is 2 and b
is 1. We can save the extra work by adjusting the range of b
:
for b=a:4
We can save even more work by adjusting the range of c
:
for c=b:a+b
Here’s the final version:
for a=1:3
for b=a:4
for c=b:a+b
if is_pythagorean(a, b, c)
disp([a,b,c])
end
end
end
end