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1. Lines cannot go through bold borders.
2. White cells must be inside the loop, and black cells must be outside the loop. Grey cells are either black or white.
3. A number with an arrow indicates the number of line segments in that direction. Vertical arrows only count vertical lines, and horizontal arrows count horizontal lines.
Theme: Telling 2s
Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centers of the cells. The path of the loop passes through each of the given circles. Furthermore, the lengths of the portions of the loop on either side of the given circle, extending as far as before the loop turns, should add up to the given number. All black circles should have segments of unequal lengths on either side before turning, while white circles have equal lengths.
1. Lines cannot go through bold borders.
2. White cells must be inside the loop, and black cells must be outside the loop. Grey cells are either black or white.
3. A number with an arrow indicates the number of line segments in that direction. Vertical arrows only count vertical lines, and horizontal arrows count horizontal lines.
Rules: Shade some cells in the grid to form blocks of any shape.
1. Each block must contain exactly one number or a question mark.
2. A number indicates the size of the block that contains it.
3. Diagonally adjacent blocks form a chain. A chain cannot contain two identically shaped blocks, counting rotations and reflections as the same.
4. All blocks must be diagonally adjacent to at least one other block.
Rules: Trace a loop that does not intersect itself and visits each given circle and each given diamond. If two circles are visited successively, the path of the loop visits two or more empty cells between them. If two diamonds are visited successively, the path of the loop turns in two or more white cells between them. Between a circle and a diamond that the loop visits successively, it turns in one cell.
Rules: Shade some cells in the grid to form blocks of any shape.
1. Each block must contain exactly one number or a question mark.
2. A number indicates the size of the block that contains it.
3. Diagonally adjacent blocks form a chain. A chain cannot contain two identically shaped blocks, counting rotations and reflections as the same.
4. All blocks must be diagonally adjacent to at least one other block.
Rules: Shade some cells such that each outlined region contains two or more groups of orthogonally connected shaded cells of the same size but different shapes. There cannot be any other shaded cells. Shaded cell groups across regions can only touch diagonally, while they must all be connected to each other diagonally within a region. Given numbers indicate shaded cells part of a group of that size. Each group contains one or no given number.
Rules: Divide the grid along the gridlines into some regions, and fill each of the empty hexagonal cells with a number. When two cells containing the same number are adjacent, they must belong to the same region. Given numbers represent the area of the region they belong to. A region may contain none, or one or more of the givens
Rules: Insert a number in some cells so that each outlined area contains at least one number. Each number represents the number of cells containing a number in that area. Two numbers connecting across a region boundary must be unequal. All numbers, including the givens, must form one or more connected areas with no 2x2 areas of numbered cells. Each such area is a universe, with two or more regions, and with no two regions containing the same number allowed to have identical arrangement of the numbers. Some numbers may already be given. The multiverse is a network of diagonally connected universes, with no universe isolated. A region cannot belong to two or more universes.