Range Help
Rules / Objectives Summary
 Each number tells you how many white squares are reachable from that square, horizontally and vertically, in total, including the numbered square (i.e. the range).
 E.g. a square containing a 4 has itself, and exactly three other connected white squares, in the four horizontal and vertical directions.
 Black squares do not touch each other horizontally or vertically.
 All white squares can be reached from all others, i.e. they are connected.
See the Basic Ideas or Walkthrough for extra tips and tricks.

What are the numbers for? These are the number of squares reachable horizontally and vertically, including that square.
Move your mouse over the puzzle to see the answer.

Basic Ideas
 The numbers tell you how many squares are reachable horizontally and vertically, including that square.
 If the grid size is 4x3, then the largest possible number could be 6. Which is the width + height  1 (so we don't count the numbered square twice).
 You keep adding black squares to reduce the number of squares that can be reached, until all of the clues are satisfied. Don't forget you also stop counting when you hit a wall.
Walkthrough

Step 1 This is the start of the puzzle.
Solve this puzzle for yourself at the same time.


Step 2 There are already 2 squares that can be reached from here, so this clue is satisfied. Which means we need black squares below and to the right to stop more squares being reachable.


Step 3 We're not allowed to have black squares touching horizontally or vertically, so these squares must be white.


Step 4 The only way for the 8 clue to be satisfied is for all of these squares to be white.


Step 5 The 3 clue is now satisfied, which means that these squares must be black.


Step 6 We're not allowed to have black squares touching horizontally or vertically, so these squares must be white.


Step 7 We're not allowed isolated white squares (as they all have to be connected), so this square must be white. This also completes the 6 clue.


Step 8 The 5 clue is satisfied, so this square must be black.


Step 9 We're not allowed to have black squares touching horizontally or vertically, so these squares must be white. The puzzle is now complete.


Step 10 The completed puzzle.

