Binary Puzzle· Advanced

Goal

Fill every empty cell with 0 or 1.

How to Play

  • Tap an empty cell to place 0
  • Tap again to change it to 1
  • Tap once more to clear the cell

Rule 1: No Three Consecutive

The same number cannot appear more than twice in a row within any row or column.

OK0110
NG0111

Rule 2: Equal Count

Each row and column must contain the same number of 0s and 1s.

OK01010:2 / 1:2
NG00010:3 / 1:1

Completed Example

  • Tap an empty cell to cycle: 0 → 1 → empty.
  • No more than two consecutive identical numbers in any row or column.
  • Each row and column must contain equal numbers of 0s and 1s.
  • No two completed rows or columns may be identical.
0110100110100101

Tip

  • If two identical numbers are adjacent, the cells on either side must be the opposite.
  • Start with rows or columns that are nearly full — they're easier to solve.
  • A row or column with only one empty cell is automatically determined.

Binary logic puzzles engage logical reasoning, pattern recognition, and working memory simultaneously. Constraint satisfaction tasks effectively activate executive functions in the prefrontal cortex.

  • Constraint satisfaction and prefrontal executive function (Goel & Grafman, 2000)
  • Binary logic and working memory training (Jaeggi et al., 2008)