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Google Sheet >> Trying to count in sequential

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I have a set of data, which the value might be repeated and I am attempting to count and mark the counting in sequence.

I am currently trying to create a list using arrayformula (which is a must for my application for some reason), which the list will return the number of times the value is repeated, at the same time indicates the # of the occurrence of that row.

Some thing like the below is what i wish to acc

DATADesired
a11st a
b11st b
c11st c
a22nd a
b22nd b
a33rd a
b33rd b
b44th b

It is a must for me to use a arrayformula or something similar to achieve.Would appreciate any input. Thanks.


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