Arrow Sudoku
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Auðvelt · Arrow Sudoku
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Hvernig á að spila Arrow Sudoku
Standard Sudoku reglur gilda. Auka regla: tölurnar meðfram hverju örvarskapti verða að summa til tölunnar í hringnum við grunn örvarrinnar. Hringurinn sjálfur er venjulegur Sudoku reitur — gildi hans ákvarðar hvað örvreitirnir verða að summa til.
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Tölustafir á ör verða að summa upp í tölustafinn í hringnum.
Arrow Sudoku Auðvelt
Arrow Sudoku Miðlungs
Arrow Sudoku Erfitt
Arrow Sudoku Sérfræðingur
Hvað er Arrow Sudoku?
Arrow Sudoku setur örvar á reitinn, hver byrjar frá hringlaga reit. Tölustafirnir í öllum reitum meðfram örinni (ekki meðtalið hringinn) verða að leggja saman við tölustafinn sem settur er í hringlaga reitinn. Þar sem hámarksstafurinn er 9, eru langar örvar með mörgum reitum mjög takmarkaðar. Arrow Sudoku sameinast oft fallega með standard elimination og candidate logic.
Í fljótu bragði
| Takmörk tegund | Línuskorður |
| Dæmigerðar gefnar tölur | 20–26 |
| Erfiðleikamat | ★★★★☆ 4/5 |
| Meðal. leysingartími — Auðvelt | 12 mín |
| Meðal. leysingartími — Miðlungs | 25 mín |
| Meðal. leysingartími — Erfitt | 50 mín |
| Meðal. leysingartími — Sérfræðingur | 80 mín |
Hvernig á að leysa Arrow Sudoku
| Tækni | Hvað það gerir | Stig |
|---|---|---|
| Arrow Sum Bounding | The circle digit equals the sum of all arrow shaft cells. A 3-cell arrow with circle 5 means the three shaft cells average under 2 — severely constraining options. | Framhaldið |
| Max/Min Arrow Analysis | The maximum sum of N cells is 9+8+7+…; the minimum is 1+2+3+…. If the circle digit falls outside these bounds, a constraint error exists. | Framhaldið |
| Bifurcation on Short Arrows | For 2-cell arrows with a small circle (e.g., 3), only (1,2) or (2,1) works — enumerate cases to find forced placements quickly. | Framhaldið |
| Arrow–Region Interaction | Arrow cells sharing a box or row with the circle create indirect constraints — combine the sum equation with standard Sudoku uniqueness. | Framhaldið |
| Repeating Digits on Arrows | Arrow shaft cells can repeat digits (unlike Killer cages). Factor this in when enumerating possible sums. | Framhaldið |
Meðalleysingartímar
Auðvelt
12 mín
Miðlungs
25 mín
Erfitt
50 mín
Sérfræðingur
80 mín
Algengar Spurningar
Hvað er Arrow Sudoku?
Arrow Sudoku is a variant where arrows are drawn across the grid. Every digit placed along an arrow must sum to the number written inside the circle at the arrow's base. Standard Sudoku rules still apply — every row, column, and 3×3 box must contain the digits 1–9 exactly once.
How do the arrows and circles work?
Each arrow starts at a circle and extends through one or more cells. The digit in the circle is the target sum for all cells the arrow passes through. A single-cell arrow tells you the exact digit in that cell. Longer arrows have multiple possible combinations, which you narrow down using Sudoku constraints.
Is Arrow Sudoku harder than regular Sudoku?
It depends on your experience. Arrow Sudoku adds an arithmetic layer on top of standard logic. Easy puzzles are comparable in difficulty to medium classic Sudoku. Hard and expert arrow puzzles require simultaneous constraint-tracking that most players find significantly more challenging than any classic Sudoku difficulty.
Can a digit repeat along an arrow?
No — digits can repeat on an arrow only if standard Sudoku rules allow it. Because each row, column, and box must contain 1–9 once, a digit can appear twice on an arrow only if the two cells are in different rows, columns, and boxes. In practice, most arrow cells are highly constrained.
What is the best first move in Arrow Sudoku?
Start with single-cell arrows — the digit in that cell equals the circle value directly. Then look for short arrows with extreme sums. A 2-cell arrow summing to 3 can only be {1,2}; summing to 17 can only be {8,9}. These give you the tightest starting constraints without any guessing.
How long does Arrow Sudoku take to solve?
Easy puzzles take 5–15 minutes. Medium puzzles typically run 15–30 minutes. Hard puzzles average 30–60 minutes, and expert puzzles can take over an hour even for experienced solvers. Solve times improve quickly once you develop intuition for which arrow combinations are possible at a glance.