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COUNTIF with relative cell range in condition

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I want a google sheets formula along the lines of

=countif(a4:a150;and(sum(e4:j4)<132;sum(e4:k4)>=132))

I.e., for each of the rows 4-150 (column A is not relevant), if the sum of columns E-J in that row is <132 and the sum of columns E-K in that row is >=132, then count that row with 1.

Pseudo code:

count = 0
for 4 <= i <= 150:
    if (sum(Ei:Ji)<132 and sum(Ei:Ki)>=132):
       count = count+1
return count 

However, countif does not accept complex conditions. I've been fiddling around with arrayformula and nestings of sum and countif for a while but can not find out which combination yields me the desired function structure that iterates over all rows, then checks the sum over a column range relative to that row and counts the result.


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