Number Link

Number Link is a path puzzle. Draw a path between each pair of equal numbers, moving horizontally and vertically from cell to cell. Paths may not cross or share a cell, and together they must fill every cell of the grid.

Mistakes: 00:00
1123244535

Start over?

This clears the board and the clock.

How to play

Every Number Link here has exactly one solution and can be solved by logic alone. The grid grows from 5×5 at Easy to 9×9 at Expert, and the level is set by the hardest technique the puzzle needs.

  • Connect each pair of equal numbers with one path.
  • Paths move horizontally or vertically and never cross or branch.
  • Every cell is part of exactly one path.

Playing on this site

  • Drag from a number to draw its path; drag from a drawn cell to carry on from there.
  • Drag back along a path to take part of it back; drawing through another path cuts it.
  • Hint points out cells on the wrong path first, then names the next technique and draws the join it decides.
  • Your puzzle is saved in this browser, so you can come back to it later.

Techniques by level

Every technique the solver knows, from easiest to hardest. A puzzle's level is the hardest one it needs.

Easy

Only way out
A number has one path out and every other cell two. This cell has only that many ways left.
Same path, same number
Joined cells belong to the same pair, and cells that can't share a pair are never joined.

Medium

No loops
This join would close a loop, which no path can do.
Out of reach
Only cells a path can reach from both of its numbers can belong to it.

Hard

The only passage
Every way between these two numbers passes through this cell.

Expert

Contradiction
The other choice here leaves a path with nowhere to go a few steps later.

Questions

Do I have to fill every cell?

Yes. The puzzle is solved when every pair is connected and every cell belongs to a path; that is also what makes the solution unique.

Will I ever have to guess?

No. Every puzzle has exactly one solution that logic alone reaches, at every level.

Is Number Link free to play here?

Yes. Every level is free, with no account and no sign-in.