list all the arrays for each number.
An example number is 8
Im not sure what they mean by array for each number. Can you give me an example or explain? Thanks!
Certainly! In this context, an "array for each number" refers to a list of arrays where each array contains the number given as an example. Let me demonstrate using the example number 8:
To list all the arrays for the number 8, we can consider all possible ways of partitioning the number 8 into smaller numbers. For example:
1. [8] - This is an array with just one element, which is 8.
2. [1, 7] - This is an array where 8 is partitioned into 1 and 7.
3. [2, 6] - This is an array where 8 is partitioned into 2 and 6.
4. [3, 5] - This is an array where 8 is partitioned into 3 and 5.
5. [4, 4] - This is an array where 8 is partitioned into 4 and 4.
Each of these arrays represents a different way of dividing the number 8 into smaller numbers. Hence, these are the arrays for the number 8.
To find all the arrays for a different number, you would follow the same approach by considering all possible ways to partition that number into smaller numbers.