Special Pythagorean triplet

2014-09-11

Problem 009: Special Pythagorean triplet

Description:

A Pythagorean triplet is a set of three natural numbers, a < b < c, for which, a^2 + b^2 = c^2

For example, 3^2 + 4^2 = 9 + 16 = 25 = 5^2.

There exists exactly one Pythagorean triplet for which a + b + c = 1000. Find the product abc.

Solution:

"d"5:+*00p210p>   120p>v                >20g1+:20p10g-#v_10g1+:10p00g-#v_ @
                      ^                                <
              ^                                                        <
v                      <
>20g:*10g:*+:30p0>::*30g-#v_:30p20g10g++ 00g-#v_20g:." ",10g:." ",30g:."=",**.@
                 |-g00 :+1<
                 >$$                    ^    $<

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Output:

Stack: (0)

Explanation:

The brute-force approach is here taking quite a long time - but I think it's good enough - perhaps I will make an optimized version later

Interpreter steps:	1 397 212 134
Execution time (BefunExec):	6min 34s (3.54 MHz)
Program size:	79 x 7 (fully conform befunge-93)
Solution:	31875000
Solved at:	2014-09-11