What are the smaller arrays for 15x7
To determine the smaller arrays for a 15x7 array, we need to find all the possible rectangular subarrays that can fit within the given dimensions.
One way to approach this is by iterating over the possible lengths and widths of the subarrays within the given dimensions. Let's start with the smaller length.
The length of the subarray can vary from 1 to the total length of the array, 15. So, let's iterate over the lengths.
For a length of 1, we can have subarrays with widths ranging from 1 to 7:
- Subarray of length 1 and width 1: [[1]]
- Subarray of length 1 and width 2: [[1, 2]]
- Subarray of length 1 and width 3: [[1, 2, 3]]
- Subarray of length 1 and width 4: [[1, 2, 3, 4]]
- Subarray of length 1 and width 5: [[1, 2, 3, 4, 5]]
- Subarray of length 1 and width 6: [[1, 2, 3, 4, 5, 6]]
- Subarray of length 1 and width 7: [[1, 2, 3, 4, 5, 6, 7]]
For a length of 2, we can have subarrays with widths ranging from 1 to 6:
- Subarray of length 2 and width 1: [[1], [2]]
- Subarray of length 2 and width 2: [[1, 2], [2, 3]]
- Subarray of length 2 and width 3: [[1, 2, 3], [2, 3, 4]]
- Subarray of length 2 and width 4: [[1, 2, 3, 4], [2, 3, 4, 5]]
- Subarray of length 2 and width 5: [[1, 2, 3, 4, 5], [2, 3, 4, 5, 6]]
- Subarray of length 2 and width 6: [[1, 2, 3, 4, 5, 6], [2, 3, 4, 5, 6, 7]]
We continue this process for lengths 3 to 15 to find all possible subarrays. As the length increases, the number of possible subarrays decreases.
By following this approach, we can find all the smaller arrays for a 15x7 array.