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This one wouldn't need the file supplied on the command line but would try to find the files named in task1 or task2:awk '
FNR == 1 {FC++
FN = FILENAME
if...

first approximation:awk '
FNR == 1 {FC++
FN = FILENAME
if (FC < 3) {OUT[FC] = FN ".new"
print > OUT[FC]
...

Any ideas/thoughts/attempts from your side?

---------- Post updated at 13:12 ---------- Previous update was at 13:10 ----------

Is there always just one single line for one single file in task1...

while read f1 f2 f3
do
awk 'NR==start,NR==end {sum+=$2} END {print FILENAME,start,end,sum}' start="$f2" end="$f3" "$f1"
done < B > B.new
If B.new looks okay, you can rename it to B
mv B.new B

For above sample, this should doawk ' {printf "%s ", $0
FN=$1; ST=$2; EN=$3;
while ($1+0 < EN) {getline < FN
...