Puzzlerium Tour: Battleships (Bulbs)

  

Rules: 

Locate the standard fleet of 10 ships into the given grid. Ships cannot occupy clue cells. Clues tell how many of the edge-adjacent cells contain a ship segment. Ships may be rotated, but may not touch each other, not even diagonally. Ship segments also function as bulbs. No two bulbs from different ships are allowed to light each other. Bulbs can only illuminate cells in the same row or column not blocked by black cells. In the end, all white cells must be illuminated by at least one bulb.

Puzzlerium Tour: Tapa (Curtailed Branching)

  

Theme: 3456

Rules: Paint some squares to create a continuous wall of connected cells. Number(s) in a cell indicate how many painted cells are contained in a continuous black cell block in its surrounding cells. If there is more than one number in the cell, there has to be at least one white cell separating the black cell blocks. Painted cells cannot form a 2x2 cell. Clue Cells cannot be painted. 

Additionally, given arrows in some clue cells indicate that starting in the immediate adjacent cell pointed by the arrow (this cell must be shaded), and in upto two possible directions containing shaded cells, the tapa wall extends at least as many cells before branching out, as the number in the clue cell (a clue cell with the number '8' cannot possibly have an arrow).

Puzzlerium Tour: LITS (Vestigial)

 

Rules: Shade in some cells such that each* outlined area contains four shaded cells that form a Tetromino. No 2×2 square can be shaded completely. All shapes must be connected to form a single contiguous group of shaded cells. Identical figures, regardless of rotation or reflection, cannot share an edge. 

* Exactly one area corresponding to each of the shapes given below the puzzle should be left empty. 

Puzzlerium Tour: Tapa

 

Theme: 123

Rules: Paint some squares to create a continuous wall of connected cells. Number(s) in a cell indicate how many painted cells are contained in a continuous black cell block in its surrounding cells. If there is more than one number in the cell, there has to be at least one white cell separating the black cell blocks. Painted cells cannot form a 2x2 cell. Clue Cells cannot be painted. 

Puzzlerium Tour: Balance Loop

    

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.

Puzzlerium Tour: Fillomino

 

Rules: Divide the grid along the gridlines into some regions, and fill each of the empty cells with a number. When two cells containing the same number touch along an edge, 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.

Puzzlerium Tour: One of its kind

Theme: Just the one 'S'

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres of the cells. The path of the loop passes through each of the given circles and makes a 90 degree turn in each circle.  Furthermore, the letter 'L' indicates that the lengths of the portions of the loop on either side of the given circle, extending as far as before the loop turns, add up to a number that is greater than that for any of the other circles in the corresponding row or column. 'S' indicates the sum is the smallest.  For all circles in the same row or column without a letter, the sum could be anything except the largest (but less than the largest) if L is given in that row or column, or the smallest (but greater than the smallest) if S is given, or between the largest and the smallest if both are given.

About: "One of its kind" was invented by Anurag Sahay.

Puzzlerium Tour: One of its kind

    

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres of the cells. The path of the loop passes through each of the given circles and makes a 90 degree turn in each circle.  Furthermore, the letter 'L' indicates that the lengths of the portions of the loop on either side of the given circle, extending as far as before the loop turns, add up to a number that is greater than that for any of the other circles in the corresponding row or column. 'S' indicates the sum is the smallest.  For all circles in the same row or column without a letter, the sum could be anything except the largest (but less than the largest) if L is given in that row or column, or the smallest (but greater than the smallest) if S is given, or between the largest and the smallest if both are given.

About: "One of its kind" was invented by Anurag Sahay.

Puzzlerium Tour: Balance Loop

   

Theme: Trash Bin

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres 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 circels should have segments of unequal lengths on either side before turning, while white circles have equal lengths.

Puzzlerium Tour: Balance Loop

  

Theme: 49

Rules: Draw a single, non-intersecting loop, vertically or horizontally through the centres 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 circels should have segments of unequal lengths on either side before turning, while white circles have equal lengths.