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 :#I use 3 for loops to iterate over all possible values of a,b,c. Then test if our two equation conditions are true. for c in range(1001): for b in range(0,c): for a in range(b): if a + b + c == 1000 and a**2 + b**2 == c**2: result = a*b*c break print("Answer: " + str(result))
This works, but takes a few seconds. Very important to use the condition that a less than b less than c in the ranges. Otherwise it takes much longer.
In :# This cell will be used for grading, leave it at the end of the notebook.