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 [21]:

    
a=list(range(500)) # I know that no value can be over 500, so range 500 is a safe bet.
b=list(range(500))
c=list(range(500))
d=[]
e=[]
f=[]
for x in a:
    for y in b:
        for z in c:
            if x+y+z==1000 and ((x**2)+(y**2)==(z**2)) and x>0 and y>0 and z>0: # my conditions
                d.append(x)
                e.append(y)
                f.append(z)
                
print(d)
print(e)
print(f)

# our Pythagorean triplet is 200,375, and 425!









    



[200, 375]
[375, 200]
[425, 425]



In [ ]:

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