Background

I have a spreadsheet that displays data internet consumption by users that looks like this

userid    feb1    feb2    feb3     .    feb29 u1        100     34      23       .     4u2        0       24      21             62u3        300     25      5              1u4        50      5       6      ..un        23      52      3        .     42

I already wrote a formula that lists the daily consumption of each user like so:

date        daily consumptionfeb1        14,971     feb2        6,898       feb3        10,666     ..feb29        10,543     

from the daily consumption I wrote a formula that gives me the highest amount consumed by a user on a daily basis so it looks like something like this

date        daily consumption    highest consumptionfeb1        14,971               7,523feb2        6,898                3,422feb3        10,666               5,411..feb29        10,543              6,234

(this is what the query is where March is the sheet that contains the raw data

query(transpose(QUERY(March!I2:AT,"Select "&textjoin(",",true,ARRAYFORMULA("Max("& REGEXEXTRACT(address(1,column(March!I1:AT),4,true,"March"),"March!(.*)\d") &")")) &"",0)),"select Col2")

Problem

What I'm trying to do now is find out on a daily basis the ID of the highest consumer like so:

date        daily consumption    highest consumption    highest consumer idfeb1        14,971               7,523                  4779221feb2        6,898                3,422                  1047223  feb3        10,666               5,411                  7505020..feb29        10,543              6,234                  2994922

I have two ways of getting the highest consumer Id manually:

VLOOKUP method

ie

=vlookup(D2  ,{March!$I:$I,March!$B:$B},2,false)=vlookup(D3  ,{March!$J:$J,March!$B:$B},2,false)=vlookup(D4  ,{March!$K:$K,March!$B:$B},2,false)..

query method

ie

=query({March!$I:$I,March!$B:$B},"select Col2 where Col1 contains "&trunc(D2,5))=query({March!$J:$J,March!$B:$B},"select Col2 where Col1 contains "&trunc(D3,5))=query({March!$K:$K,March!$B:$B},"select Col2 where Col1 contains "&trunc(D4,5))

However I'm struggling with writing a formula that makes either work in a single line. What I'm trying to do is something along these lines:

for vlookup option:

arrayformula(vlookup(D2:D3,indirect("March!$"& REGEXEXTRACT(address(1,column(March!$I:$J),4,true,"March"),"March!(.)\d") &":$" & REGEXEXTRACT(address(1,column(March!$I:$J),4,true,"March"),"March!(.)\d")), indirect("March!$B:$B"),2,false))

for query option:

arrayformula(query({indirect("March!$"& REGEXEXTRACT(address(1,column(March!$I:$J),4,true,"March"),"March!(.)\d") &":$" & REGEXEXTRACT(address(1,column(March!$I:$J),4,true,"March"),"March!(.)\d")), indirect("March!$B:$B")},"select *"))

How do I make this work?

Sample sheet

note: the formulas will be a bit different on this sample sheet (same structure, different cell references)

https://docs.google.com/spreadsheets/d/1OmVczb6KS8E6biDrtn8xSx1u1-urFjaFhY8lOVJdtGk/edit#gid=510221509