# Leetcode: Shortest Distance in a Plane

Shortest Distance in a Plane

Similar Problems:

Table point_2d holds the coordinates (x,y) of some unique points (more than two) in a plane.
Write a query to find the shortest distance between these points rounded to 2 decimals.

```| x  | y  |
|----|----|
| -1 | -1 |
| 0  | 0  |
| -1 | -2 |
```

The shortest distance is 1.00 from point (-1,-1) to (-1,2). So the output should be:

```| shortest |
|----------|
| 1.00     |
```

Note: The longest distance among all the points are less than 10000.

Github: code.dennyzhang.com

Credits To: leetcode.com

Leave me comments, if you have better ways to solve.

```## Blog link: https://code.dennyzhang.com/shortest-distance-in-a-plane
select round(min(sqrt((t1.x-t2.x)*(t1.x-t2.x) + (t1.y-t2.y)*(t1.y-t2.y))), 2) as shortest
from point_2d as t1, point_2d as t2
where t1.x!=t2.x or t1.y!=t2.y

# select round(sqrt((t1.x-t2.x)*(t1.x-t2.x) + (t1.y-t2.y)*(t1.y-t2.y)), 2) as shortest
# from point_2d as t1, point_2d as t2
# where t1.x!=t2.x or t1.y!=t2.y
# order by shortest asc
# limit 1
```

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