規則只有兩句話

行首與列首的數字,表示該行(列)中連續填色段的長度,數字順序就是段的順序;不同段之間至少隔一個空格。整個數織的推理,就是把這兩句話在每一行、每一列上反覆兌現。

重疊法:第一批確定格

一條長度 L 的行裡要放一段長度 n 的色塊,把它推到最左和最右,兩種擺法重疊的部分就是無論如何都會被填到的格子。重疊格數等於 2n − L:15 格的行放 10 格的段,中間 5 格(第 6 到第 10 格)立即可填。開局先對每一行每一列做一遍重疊法,盤面就有了第一批立足點。

最左最右重疊
15 格放 10:最左擺法與最右擺法重疊的第 6–10 格(綠)必定填色。

× 標記不是裝飾

確定不會填色的格子,立刻標上 ×。× 的價值在於把一條長行切成幾條短行:段放不進被 × 夾住的短區間時,整個區間都可以再標 ×;已完成的段兩端也應立即補 ×。本站長按或右鍵即可快速標記。不標 × 的玩家,在 15×15 上幾乎必然迷路——因為推理需要的正是「這裡不可能」的信息。

邊界推進

當某段已經貼著行首、行尾或某個 × 時,它的位置常常被完全鎖死或只剩一兩種擺法。特別留意首尾數字:行首第一格若已填色,第一段的位置立即確定,段尾之後那格就是 ×。每次有新格子被確定,都優先檢查它所在行列的邊界有沒有因此收緊。

行列往返,不要戀戰

數織是行與列互相餵資訊的遊戲:一行推出的新格子,是它經過的每一列的新條件。正確的節奏是:在一條線上把能確定的都確定,然後立刻換到被影響的垂直線,而不是留在原地硬算。感覺卡住時,多半不是技巧不夠,而是有一條被你更新過卻沒回頭檢查的線。

從 5×5 練到 15×15

本站提供 5×5、10×10、15×15 三種尺寸。5×5 用來熟悉規則,通常不需要 ×;10×10 開始需要系統性的重疊法;15×15 則必須搭配完整的 × 紀律。每種尺寸的最快完成時間分開記錄,適合當作進階的里程碑。

現在就試:開一局 10×10 的數織,第一輪只做重疊法。

The rules fit in two sentences

The numbers before each row and column give the lengths of the consecutive filled runs in that line, in order; different runs are separated by at least one empty cell. Every nonogram technique is just these two sentences, cashed in repeatedly across rows and columns.

The overlap method: your first certain cells

To place a run of length n in a line of length L, push it all the way left, then all the way right — the cells covered by both placements are filled no matter what. The overlap has 2n − L cells: a 10-run in a 15-line fixes the middle five cells (positions 6 through 10) instantly. Sweep every row and column with this once at the start and the grid grows its first footholds.

leftrightboth
A 10-run in 15 cells: the leftmost and rightmost placements share cells 6–10 (green), which must be filled.

× marks are not decoration

The moment a cell is provably empty, mark it ×. Marks slice a long line into short independent segments: when a run cannot fit between two ×s, the whole gap becomes × too, and a finished run should immediately get ×s on both ends. On this site, press-and-hold or right-click toggles the mark. Players who skip ×s reliably get lost on 15×15 — deduction runs on knowing where things cannot go.

Push from the borders

Once a run touches the line's start, end, or an existing ×, its position often locks completely or narrows to a couple of placements. Watch the first and last numbers especially: if the first cell of a row is filled, the first run's position is fixed and the cell after it is ×. Every newly determined cell should trigger a quick border check on the lines passing through it.

Switch lines; never grind one

Nonograms are rows and columns feeding each other information. A new cell deduced in a row is a new constraint for every column it crosses. The productive rhythm: extract everything a line offers, then jump straight to the perpendicular lines it touched rather than staring harder at the same one. Feeling stuck almost always means some line you updated is waiting to be re-read.

From 5×5 to 15×15

This site offers 5×5, 10×10 and 15×15 boards. Use 5×5 to absorb the rules — it rarely needs ×s; 10×10 begins to demand systematic overlaps; 15×15 requires full × discipline. Fastest times are recorded per size, which makes a natural progression ladder.

Try it now: start a 10×10 Nonogram and spend the whole first pass on overlaps.