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<
>\$\$                    ^    \$<
Start
??
Pause
Reset
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

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