Number Placement

A two-symbol puzzle: on an even-sized grid, place 0s and 1s so each row and column has equal counts of each, no three identical symbols run consecutively, and no two rows or columns are identical.

Fill every cell with a number so each region of equal numbers has exactly that many cells; regions of the same size may not touch.

An inequality puzzle: fill an n×n grid with 1–n so no digit repeats in any row or column, and every > or < sign between neighbors holds.

Fill the grid with consecutive numbers so each number touches the next one horizontally, vertically, or diagonally.

Shade some cells of a filled number grid so no number repeats in any row or column; shaded cells can’t touch, and unshaded cells must stay connected.

A logic puzzle: fill white cells with digits 1–9 so each crossword-like run matches its clue sum and contains no repeated digit.

An arithmetic puzzle: fill an n×n grid with 1–n so no digit repeats in any row or column, and the numbers in each thick cage reach its target with the given +, −, ×, or ÷.

A logic puzzle: fill a 9×9 grid so every row, column, and 3×3 box contains the digits 1–9 exactly once.