Futoshiki
Futoshiki is a number-based logic puzzle where the goal is to fill a grid completely while following two key rules: every row and column must contain unique digits, and inequality symbols between cells dictate which numbers must be larger or smaller. It’s a pure test of deduction and strategic placement.
The game presents a grid with some numbers pre-filled and inequality signs (< or >) between specific cells. Your objective is to logically deduce and place the missing numbers from 1 up to the grid's size, ensuring no digit repeats in any row or column. The inequality clues are your primary guides for determining the correct order of numbers.
This puzzle unfolds through careful analysis of constraints. You must constantly cross-reference row and column uniqueness with the directional hints from the inequality symbols. Progression involves making calculated placements based on the available possibilities, with each correct number helping to reveal the solution for adjacent cells.
Begin by focusing on cells with the most constraints—those with many inequality signs or in rows/columns already partially filled. Systematically apply the rules: if a cell must be smaller than its neighbor and larger than another, it severely limits your options. Always double-check that your placement maintains uniqueness across its entire row and column.