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Given a table of csv values is it possible to receive suggested formulas? Alternatively is it possible to "solve" a complicated formula given a table?

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i.e. Given the csv table with A1=1,A2=2,A3=3,A4=4,B1=10,B2=5,B3=10/3,B4=2.5,C1=0.48,C2=0.24,C3=0.16,C4=0.12,C5=1

Only A1:A4 are known.

Is it possible for a program to suggest a series of forumulas that would return values in each unknown but given cell above that would satisfy each other unknown cell? Could check cells be added to restrict the number of potential 0/null/infinite values?

i.e. The answer to the above table including helpful cells would be, A5=sum(A1:A4),B1=sum(A$1:A$4)/A1,B2=sum(A$1:A$4)/A2,B3=sum(A$1:A$4)/A3,B4=sum(A$1:A$4)/A4,B5=SUM(B1:B4),C1=$B1/$B$5,C2=$B2/$B$5,C3=$B3/$B$5,C4=$B4/$B$5,C6=sum(C1:C4)=1

Ultimately, is there a way to find a formula that fits in C5 that is true given A1 to C4? Are any of the data points A5,B5,C6 required to find a formula that is correct?


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