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## Ranking and displaying cities of shortest distance

Hi,

I have a data set that contains columns Country, State, City, Location X, Location Y; (X,Y) is the location on the coordinate. So anybody can help me on how to caculate the shortest distance starting from every city to any other instate cities and display those cities(with the first and second shortest distance) in columns?

Here's the original data: and here's what I would like to show: Pre-Appreciated!

1 ACCEPTED SOLUTION  Microsoft

Hi @Erin001,

```shortestInStateCity =
MINX (
TOPN (
1,
FILTER (
CROSSJOIN (
ALL ( 'Table1' ),
SELECTCOLUMNS (
'Table1',
"City2", [City],
"Country2", [Country],
"State2", [State],
"X2", [X],
"Y2", [Y]
)
),
"Distance", SQRT ( POWER ( [X] - [X2], 2 ) + POWER ( [Y] - [Y2], 2 ) )
),
[Distance] <> 0
&& [State] = [State2]
),
[Distance], ASC
),
[City]
)
```
```2ndShortestInStateCity =
MINX (
TOPN (
1,
TOPN (
2,
FILTER (
CROSSJOIN (
ALL ( 'Table1' ),
SELECTCOLUMNS (
'Table1',
"City2", [City],
"Country2", [Country],
"State2", [State],
"X2", [X],
"Y2", [Y]
)
),
"Distance", SQRT ( POWER ( [X] - [X2], 2 ) + POWER ( [Y] - [Y2], 2 ) )
),
[Distance] <> 0
&& [State] = [State2]
),
[Distance], ASC
),
[Distance], DESC
),
[city]
)
``` Best Regards,

Community Support Team _ Dale
If this post helps, then please consider Accept it as the solution to help the other members find it more quickly.
6 REPLIES 6  Microsoft

Hi @Erin001,

What's the distance? How can we calculate it?

Best Regards,

Community Support Team _ Dale
If this post helps, then please consider Accept it as the solution to help the other members find it more quickly.  Helper II

every city is described as a point(x,y) on the coordinate, and the distance between 2 cities is calculated as D = sqrt((x1-x2)*(x1-x2) +(y1-y2)*(y1-y2)).

Thanks!

@v-jiascu-msft  Microsoft

Hi @Erin001,

```shortestInStateCity =
MINX (
TOPN (
1,
FILTER (
CROSSJOIN (
ALL ( 'Table1' ),
SELECTCOLUMNS (
'Table1',
"City2", [City],
"Country2", [Country],
"State2", [State],
"X2", [X],
"Y2", [Y]
)
),
"Distance", SQRT ( POWER ( [X] - [X2], 2 ) + POWER ( [Y] - [Y2], 2 ) )
),
[Distance] <> 0
&& [State] = [State2]
),
[Distance], ASC
),
[City]
)
```
```2ndShortestInStateCity =
MINX (
TOPN (
1,
TOPN (
2,
FILTER (
CROSSJOIN (
ALL ( 'Table1' ),
SELECTCOLUMNS (
'Table1',
"City2", [City],
"Country2", [Country],
"State2", [State],
"X2", [X],
"Y2", [Y]
)
),
"Distance", SQRT ( POWER ( [X] - [X2], 2 ) + POWER ( [Y] - [Y2], 2 ) )
),
[Distance] <> 0
&& [State] = [State2]
),
[Distance], ASC
),
[Distance], DESC
),
[city]
)
``` Best Regards,

Community Support Team _ Dale
If this post helps, then please consider Accept it as the solution to help the other members find it more quickly.  Helper II

It works pretty well, thank you so much!

one question about the function Minx(): it is said on the MS DAX doc:

## Return value

A decimal number.

https://docs.microsoft.com/en-us/dax/minx-function-dax

but it returns the 'City' in my case.

Thanks!  Solution Sage

Hello @Erin001

could you show your real dataset?

thx

Proud to be a Datanaut!   Helper II

sorry, I can't.  The data I posted are similar to my real data.

every city is described as a point(x,y) on the coordinate, and the distance between 2 cities is calculated as D = sqrt((x1-x2)*(x1-x2) +(y1-y2)*(y1-y2)).

@LivioLanzo  