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Range Help

Rules / Objectives Summary

• Complete the grid.
• 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).
• You are not allowed to have two Black squares touching horizontally or vertically (diagonally is ok).
• Any White square can be reached from any other (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 1This is the start of the puzzle.Solve this puzzle for yourself at the same time. Step 2There 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 3We're not allowed to have Black squares touching horizontally or vertically, so these squares must be White. Step 4The only way for the 8 clue to be satisfied is for all of these squares to be White. Step 5The 3 clue is now satisfied, which means that these squares must be Black. Step 6We're not allowed to have Black squares touching horizontally or vertically, so these squares must be White. Step 7We'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 8The 5 clue is satisfied, so this square must be Black. Step 9We're not allowed to have Black squares touching horizontally or vertically, so these squares must be White. The puzzle is now complete. Step 10The completed puzzle.