Logic Masters Deutschland e.V.

Welcome everyone to another mini-series from mine, it's called Limitless Potential.

In this series, I want to look at some more interesting variant combos that have great potentials for making cool and beautiful puzzles, and the first entry here will explore the combo of X-sum and Equaline (I wasn't 100% sure about the origin of the name 'Equaline', but the popularization of it can be found in Mad-Tyas's collection of puzzles using such line). Another main inspiration came from Qinlux during a speed setting contest held by Memeristor (with the nickname purpl on here) not a long while ago.

Anyway, I think this puzzle has a funny start with also a trickier yet remained fascinating solve path later on. I hope you enjoy!

Rules:

- Normal Sudoku rules apply within the 9x9 grid: every row, column and 3x3 box contains digits from 1 to 9 each once.

- Some lines are in the grid. All of the lines with the same color must have the same total of all numbers on each of them.
Note that it's possible that different colored lines have the same total.

- A cell outside the 9x9 grid with a line touching it contains an X-sum clue, i.e the sum of the first X cells starting from its direction, where X is the value of the first cell next to that clue.

Puzzle:

F-puzzle - Penpa plus (alt. link) - CTC app (alt. link)

Good luck and have fun solving!