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Default SUMIF with the criteria range

I have problem to use formula SUMIF(RANGE, CRITERIA, RANGE)
I want to summarize range according to criteria which is range.
In my case Criteria is range A1:A5
I know that i can write formula in this way: =SUMIF(RANGE, A1, RANGE)
+SUMIF(RANGE, A2, RANGE)+SUMIF(RANGE, A3, RANGE)+SUMIF(RANGE, A4,
RANGE)+SUMIF(RANGE, A5, RANGE)

Can i write this formula in a easier way? sometimes i have criteria
range long list and i want to write compact formula. Can you help me?
 
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