What 3 numbers add up to 12

Generate all sets of three numbers which sum up to 12 python

I also tried to only append to the list if the sum was 12, but I feel like this is a very inefficient way to complete the task, because it loops over way more iterations than necessary.

2 Answers 2

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You can use itertools.product for this to avoid nested loops (based on @User 12692182’s answer)

You would have to use subtraction, to avoid not going above 12, or below it. First, you would use a range of 0 to 12, independent from everything else. Then, you would use another range, however with this one, to avoid going over, you need to limit the second part of the iteration to 12-(the first number). The last number will be completely dependant on the others, giving you 12-(the first number)-(the second number), its purpose only to fill the gap between the first number, the second number, and 12. In python, this would look like:

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Brain Out Level 35 (Updated) What 3 numbers add up to 12 Answer

Brain Out Level 35 What 3 numbers add up to 12

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Answer: Tap 3, Tap 3 again and tap 6 to make 12 with three numbers.

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Get all numbers that add up to a number

I’m trying to find a way to display all the possible sets of X integers that add up to a given integer. for example to get all 2 integer sets that make 5 I would have:

Or for 3 integers that make 6:

I only need whole numbers not including 0 and it only needs to work on up to about 15 in a set and 30 max. number.

I’m not even sure if this has a term mathematically. It’s similar to factorisation I guess?

4 Answers 4

Trending sort

Trending sort is based off of the default sorting method — by highest score — but it boosts votes that have happened recently, helping to surface more up-to-date answers.

It falls back to sorting by highest score if no posts are trending.

Switch to Trending sort

Here is one way to solve this problem:

You can use it like this.

There’s a snippet here:

Use it like this:

These are called partitions of the integer in question. Others have provided links to define them.

A trick to do these things is often to do them recursively. For example, suppose I wanted to form all distinct ways to build 10 as the sum of exactly three integers, none of which appears more than once.

Can 6 be used as the largest element? If so, then we would have 4 remaining. And we can break 4 in exactly one way, to yield the partition <6,3,1>. Further searching will yield other partitions of 10 as <5,4,1>, <5,3,2>. No others can exist.

The point is, this operation can easily be defined as a recursive function. With careful coding, one might even use memoization, to avoid recomputing that which we have seen before.