Data commit

Task/Increment-a-numerical-string/Jq/increment-a-numerical-string-1.jq

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+$ jq -n -M -s 'map(tonumber) | add' input.txt

Task/Increment-a-numerical-string/Jq/increment-a-numerical-string-2.jq

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+# This function assumes its string arguments represent non-negative decimal integers.
+def long_add(num1; num2):
+  if (num1|length) < (num2|length) then long_add(num2; num1)
+  else  (num1 | explode | map(.-48) | reverse) as $a1
+      | (num2 | explode | map(.-48) | reverse) as $a2
+      | reduce range(0; num1|length) as $ix
+          ($a2;  # result
+           ( $a1[$ix] + .[$ix] ) as $r
+           | if $r > 9 # carrying
+             then
+               .[$ix + 1] = ($r / 10 | floor) +
+                 (if $ix + 1 >= length then 0 else .[$ix + 1] end )
+               | .[$ix] = $r - ( $r / 10 | floor ) * 10
+             else
+               .[$ix] = $r
+             end )
+      | reverse | map(.+48) | implode
+  end ;

Task/Increment-a-numerical-string/Jq/increment-a-numerical-string-3.jq

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+long_add("9" * 100; "1")