Summed Yajilin
Summed Yajilin is a variation of the Yajilin puzzle that replaces the traditional directional arrows with summed numerical clues. The exact origins of this variant prior to its appearance on PuzzleDuel are uncertain, but the concept of summed clues first appeared in the “Indirect Yajilin” puzzles published by Palmer Mebane on his Melon’s Puzzles blog in 2009.
Unlike standard Yajilin, where arrow clues indicate how many shaded cells appear in a specific direction, Summed Yajilin presents totals instead—typically referring to groups of clues or regions. This change effectively removes the “arrow” element (the Yaji in Yajilin), giving the puzzle its slightly paradoxical name. Despite this, the variant preserves the core logic of Yajilin while introducing new numerical reasoning that broadens its solving possibilities.
Unlike standard Yajilin, where arrow clues indicate how many shaded cells appear in a specific direction, Summed Yajilin presents totals instead—typically referring to groups of clues or regions. This change effectively removes the “arrow” element (the Yaji in Yajilin), giving the puzzle its slightly paradoxical name. Despite this, the variant preserves the core logic of Yajilin while introducing new numerical reasoning that broadens its solving possibilities.
Rules
Shade some cells black and then draw a single non-intersecting loop through all white cells. Black cells cannot share an edge with each other, but can touch grey cells. Cells that contain clues or shaded grey are not part of the loop. Numbers in such cells indicate the total number of all black cells in the corresponding row and column.
Click to see the answer.