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Default Need help writing a formula

I need a formula that will add a string of cells until it finds a cell with a
zero, then start the adding again. For example

a b c d e f g h i j k l m n o p q r s t u v
1 8 8 8 0 8 6 5 8 9 0 6 5 4 8 7 6 0 0 5 5 5 5

So the formula would add cells a1 thru v1, but each time it encountered a
zero, ignore the previous cells and start the calucation from the next cell.
So the total for row 1 in this example would be 20, which is the total of
cells s1 thru v1

Any help you can provide is very much appreciated.

thanks
--
phyllis
 
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