Binairo
Hard00:00
Classic23
11
11
11
40
02
01
20
20
13
0·0
3·1
1·1
0·0
3·0
2·1
0·2
2·2
1·2
2·3
About hard Binairo
Hard Binairo uses a 10×10 grid with 100 cells. Each row and column needs five 0s and five 1s. The jump from 8×8 to 10×10 adds 36 more cells and makes the uniqueness constraint much more relevant.
Uniqueness reasoning becomes important at this level. If two rows are nearly identical and only differ in a couple of empty positions, those positions must be filled to make the rows different. Compare partially-filled rows against each other whenever consecutive forcing and counting stall.
Hard puzzles are solvable without guessing. If you feel stuck, check whether any two rows or columns are dangerously similar — the uniqueness constraint usually provides the next breakthrough.