These are the original Tally Loop puzzles by Endagorion.
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The local variant number-optional means segments without numbers are possible (instead of summing to zero, nothing is known about their lengths).
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Acknowledgements and Changes
2024-06-06 When making the panels for Tally Loop, genre author Endagorion decided to write a solver to support this process, a strategy that worked extremely well!
2024-06-07 The missing constraint "every segment requires a number", detected by Endagorion, was added. The panels and were further clarified to leave no room for ambiguity (Anurag Sahay). Conversely, the variant number-optional was added, to allow segments without numbers.
2024-06-07 Thanks to PinkHoodie for sending a rollout puzzle, and to justkirb for noticing a non-uniqueness in the tiny example puzzle.
2024-06-07 Many thanks to Endagorion for transcribing the original puzzles, for feedback on the implementation that let to improved contrast and highlighting.
2024-06-07 Together, PinkHoodie and Anurag Sahay sent 1 classic plus 2 puzzles using variant number-optional!
2024-09-17 Day regression found by xetto was corrected (cause: palette update, too greedy find-and-replace)