What is Slalom?
Slalom is a route puzzle from Nikoli. You draw one loop that leaves the circle, threads through every gate on the course and comes back, like a skier clearing every gate on a slalom run.
The gates are the dotted lines. The loop must cross each one exactly once, at a right angle. Black squares are walls, and a number on a black square tells you when its gate is passed: 1 is the first gate after leaving the circle, 2 the second, and so on. The number in the circle is the total number of gates.
How to start a Slalom
Look at the short gates first. A gate only one or two squares long leaves very few places to cross, and since the loop crosses straight through, each crossing fixes a small straight piece of the loop.
Next, rule out squares. A square boxed in by black squares and the edge on three sides is a dead end, so the loop can’t use it. Squares of a gate the loop has already crossed are off-limits too.
Numbers come last. Count gates from the circle in each direction: the gate marked 1 must be the first one the loop reaches, whichever way it sets off.
Common mistakes
Crossing a gate along its length doesn’t count. The loop has to go straight across it.
The loop doesn’t have to visit every square, so don’t force it into empty corners. Only the gates and the circle are required.
Questions
- Which way does the loop go?
- Either way. You can leave the circle in either direction, and the numbered gates must be passed in order going that way round.
- Does the loop have to fill the grid?
- No. It must start and end at the circle and pass every gate once. Squares it doesn’t need stay empty.
- Can the loop go through a black square?
- No. Black squares are walls. Lines drawn into one turn red.
- How big are the puzzles?
- The daily Slalom is 9×9, picked from two dozen candidates as the one that needs the most real reasoning: a person can only draw a small part of the loop straight away. Practice puzzles come in 6×6, 8×8 and 10×10.