WebOct 20, 2024 · def triplets (n): for a in range (1, n): for b in range (a, n): c = math.sqrt (a * a + b * b) if c.is_integer () and c <= n: print (f" {a}, {b}, {int (c)}") triplets (1000) Runtime on my machine: Original: 868.27 seconds (~15 minutes) Improved: 0.27 seconds EDIT: Since this question got a lot of attention I wanted to add a couple of notes: WebThe Wikipedia page on Pythagorean triples gives us a hint: The triple generated by Euclid's formula is primitive if and only if m and n are coprime and m − n is odd. If both m and n are odd, then a, b, and c will be even, and so the triple will not be primitive; however, dividing a, b, and c by 2 will yield a primitive triple if m and n are coprime
python - Generating unique, ordered Pythagorean triplets
WebFind a triplet with the given sum in an array Given an unsorted integer array, find a triplet with a given sum in it. For example, Input: nums = [ 2, 7, 4, 0, 9, 5, 1, 3 ] target = 6 Output: Triplet exists. The triplets with the given sum 6 are … WebSep 27, 2016 · When you reach an element that has an existing known factor, then if you find any multiples of that number in the list, then you have a triple. In this case, for 16, this has a multiple 32 which is in the list. So now you know that 32 … circus\u0027s 5w
What is the best way to generate Pythagorean triples?
WebA Pythagorean triplet is a set of three natural numbers, a < b < c , for which, a2 + b2 = c2 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. I am a beginner in programming, especially Python. I got the answer for the problem, but how can I optimize it? WebOct 2, 2024 · Two Pythagorean Triplets less than 12! In Python: import math def pythagorean_triplet(n): ... This code is very similar to the JavaScript version, but just using Python Syntax. WebThe distinct triplets are [-1,0,1] and [-1,-1,2]. Notice that the order of the output and the order of the triplets does not matter. Example 2: Input: nums = [0,1,1] Output: [] Explanation: The only possible triplet does not sum up to 0. Example 3: Input: nums = [0,0,0] Output: [ [0,0,0]] Explanation: The only possible triplet sums up to 0. diamond mine business plan