I want to output a row with the maximum value of the specified column.

month, day, count
10  1   5
10  2   6
11  3   7
11  4   8

There are numeric data for each date such as
I'd like to print a line that records the maximum monthly value.

Findings

1026
11  4   8

6
every 2 days in October November is 8
on the 4th. That's what it looks like

Only the month and maximum values are shown in the table

=query(A:C, "select A, max(C)where AIS NOT NULL group by A", false)

max     
10  6
11  8

And so on, but how can I print out the date when I take the maximum value?

https://qiita.com/nogitsune413/items/f413268d01b4ea2394b1
With SQL, I think I can do it by JOINing with subqueries.
Is there a way to do it with a spreadsheet?

Or is it possible to output the results of =query at intervals like the first and third columns?

I think I can fill the date separately if I use lookup.
The query results will be stuck in the previous two columns, so
I'd like to put the date in the second row between