(This post is part of the Genuinely Approachable Sudoku (GAS) series.)
This Emitters Sudoku by Bill Murphy has cells with a “don’t go over the value” sum constraint, leading to some interesting deductions to find.

PDF

or solve online (using SudokuPad)

Author/Opus: This is the 134th puzzle from Bill Murphy, part of the Genuinely Approachable Sudoku (GAS) team.

Rules: Standard Sudoku rules (insert a number from 1 to 9 into each cell so that no number repeats in any row, column, or bold region). The circled numbers are “emitters.” In each orthogonal direction from an emitter, a line is drawn as far as possible to show the largest set of values that can be added together without exceeding the value of the emitter. (E.g., below R5C3 is a two-cell line so R6C3 + R7C3 ≤ R5C3 and R6C3 + R7C3 + R8C3 > R5C3.)

GAS Time Standards (highlight to view): Two party hats (🎩🥳): 8:00; One party hat (🥳): 15:00. All other solvers earn a 🦕: Alerted Albertonykus.

Thomas Hits the GAS (highlight to view): 2:46, with SudokuPad replay file shared as a download for now (requires loading via settings menu with improvements expected before people should use this regularly).

Solution: PDF; solving video with explanation to be added later from GAS team.

Note: Follow this link for other less common variations of Sudoku.

Note 2: Comments on the blog are great! For a more interactive discussion, please also consider using our Daily GAS discussion post on the GMPuzzles Discord. Not a member of the Discord? Click this link for basic access.