Convert The Data Shown In Table 1 To Table 2 Without Rearranging The Columns And Rows

Is there a function to convert the data shown in table 1 to table 2 without rearranging the columns and rows? because i don't want to use TRANSPOSE. I want a function, somthing like SUMIF with OFFSET or INDEX and MATCH or any other function.

Table 1

Team 1Team 2Team 3Team 4Team 4Team 5Team 5ABABCity 12531642City 231173705City 367891125City 436251348

Table 2

City 4City 2City 1City 3Team 4BTeam 2Team 5ATeam 4ATeam 1Team 3Team 5B