Project Euler: Problem 9

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.



In [2]:

    
for a in range(1000):
    for b in range(1000):   #finds all combinations for a and b<1000
        c=(a**2+b**2)**0.5  #calculate c with each a,b combination
        if a+b+c==1000 and a<b<c:   #finds which combination adds to 1000
            print(a*b*c)      #calculates product
            break
    
raise NotImplementedError()









    



31875000.0






    



---------------------------------------------------------------------------
NotImplementedError                       Traceback (most recent call last)
<ipython-input-2-8c1fad4c5120> in <module>()
      6             break
      7 
----> 8 raise NotImplementedError()

NotImplementedError:



In [ ]:

    
# This cell will be used for grading, leave it at the end of the notebook.