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 :# assign a from 1-1000 for number_a in range(1,1000): #assign b from a-1000 for number_b in range(number_a, 1000-number_a): #assign b and c according to a number_c = 1000 - number_a - number_b number_b = 1000 - number_a - number_c #if numbers meet the pythagorean theorem, then print the product if (number_a**2) + (number_b**2) == (number_c**2): print (number_a*number_b*number_c)
In :# This cell will be used for grading, leave it at the end of the notebook.