How to solve Patches
按提示把棋盘分割成矩形。
还想再来一局 Patches 吗?这款由 LinkedIn 每日游戏带火的谜题,在这里可以无限畅玩:免费棋盘即时生成,三种难度,保证唯一解。
玩法说明: Patches
- 把整个棋盘分割成矩形。
- 每个矩形恰好包含一个提示:数字是它的面积,边框形状表示它是正方形、宽矩形还是高矩形。
- 从格子拖动绘制矩形;点击矩形可删除。
- 不符合提示的矩形会保留,但会以红色描边显示。
How to solve Patches: techniques that work
Every clue is an area, and areas factor. A 7 can only ever be a 1×7 or 7×1 strip; a 4 might be 1×4, 4×1 or 2×2. Start with primes and large numbers — their shapes are the most constrained, and on small boards a 5 or 7 often has a single legal placement once you check what stays in bounds and avoids other clues.
Remember that each rectangle must contain exactly one clue. That cuts both ways: a candidate rectangle that would swallow two numbers is illegal, and a cell that can only be reached by one clue's possible rectangles must belong to that clue. Scanning for these "orphan cells" is the strongest move in the game.
Work the frontier. Once a rectangle is placed, the cells alongside it lose options, and neighbouring clues often collapse to a single shape. Solved regions propagate — Patches boards tend to fall in an accelerating cascade.
Common mistakes
Assuming a number sits inside its rectangle centrally or in a corner: the clue can be anywhere inside its rectangle. What matters is only that the rectangle contains it, stays in the grid, and overlaps nothing.
Forgetting the exhaustive rule: the rectangles must tile the whole board with no gaps. If two leftover cells can't be covered by any remaining clue, an earlier rectangle has the wrong shape.
From easy to hard
Bigger boards mean more composite numbers with several viable shapes, so you'll hold two or three candidate placements in mind at once. The factor-first habit (primes, then large composites) keeps hard boards manageable. Patches is our take on the Japanese classic Shikaku.
FAQ
- 在 LinkMyPzzl 上玩 Patches 免费且无限吗?
- 是的。每个 Patches 棋盘都在浏览器中即时生成——想玩多少玩多少,免费且无需账号。
- 这和每日 Patches 谜题有什么不同?
- 由 LinkedIn 带火的每日版每天只有一题。LinkMyPzzl 无限生成棋盘,难度由你选择。
- 每个 Patches 棋盘都有唯一解吗?
- 是的。求解器会校验每个生成的棋盘:永远恰好只有一个解。
- Can a rectangle contain two numbers?
- Never. Each rectangle contains exactly one clue, and that clue equals the rectangle's area. A placement that would enclose two numbers is illegal even if the area matches.
- Does the whole grid have to be covered?
- Yes — the rectangles must tile the board perfectly, with no gaps and no overlaps. Leftover cells always mean an earlier rectangle has the wrong shape or position.