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33 changes: 17 additions & 16 deletions exercises/practice/saddle-points/.docs/instructions.md
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# Instructions

Detect saddle points in a matrix.
Your task is to find the potential trees where you could build your tree house.

So say you have a matrix like so:
The data company provides the data as grids that show the heights of the trees.
The rows of the grid represent the east-west direction, and the columns represent the north-south direction.

```text
1 2 3
|---------
1 | 9 8 7
2 | 5 3 2 <--- saddle point at row 2, column 1, with value 5
3 | 6 6 7
```

It has a saddle point at row 2, column 1.
An acceptable tree will be the largest in its row, while being the smallest in its column.

It's called a "saddle point" because it is greater than or equal to every element in its row and less than or equal to every element in its column.
A grid might not have any good trees at all.
Or it might have one, or even several.

A matrix may have zero or more saddle points.
Here is a grid that has exactly one candidate tree.

Your code should be able to provide the (possibly empty) list of all the saddle points for any given matrix.
```text
1 2 3 4
|-----------
1 | 9 8 7 8
2 | 5 3 2 4 <--- potential tree house at row 2, column 1, for tree with height 5
3 | 6 6 7 1
```

The matrix can have a different number of rows and columns (Non square).
- Row 2 has values 5, 3, 2, and 4. The largest value is 5.
- Column 1 has values 9, 5, and 6. The smallest value is 5.

Note that you may find other definitions of matrix saddle points online, but the tests for this exercise follow the above unambiguous definition.
So the point at `[2, 1]` (row: 2, column: 1) is a great spot for a tree house.
11 changes: 11 additions & 0 deletions exercises/practice/saddle-points/.docs/introduction.md
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# Introduction

You plan to build a tree house in the woods near your house so that you can watch the sun rise and set.

You've obtained data from a local survey company that show the height of every tree in each rectangular section of the map.
You need to analyze each grid on the map to find good trees for your tree house.

A good tree is both:

- taller than every tree to the east and west, so that you have the best possible view of the sunrises and sunsets.
- shorter than every tree to the north and south, to minimize the amount of tree climbing.