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plinius-et plinius-et is offline
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That formula reports the matrix formed by every single result obtained using every cell of the range.

(1/COUNTIF(A1:A4,A1))+(1/COUNTIF(A1:A4,A2))+(1/COUNTIF(A1:A4,A3))+(1/COUNTIF(A1:A4,A4))

E.