Placement Puzzle

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Battleships

Locate the position of a 10-ship fleet in the grid. The shapes of the ships are shown to the right of the grid. There is one 4x1 battleship, two 3x1 cruisers, three 2x1 destroyers and 4 1x1 submarines. The numbers beside the grid indicate the number of cells occupied by ships in each row, while the numbers below the grid indicate the number of occupied cells in each column. Ships may touch the edge of the board, but cannot touch each other, not even diagonally. Some cells are known to be water.

Battleships

Red or blue

Although there is now a very nice Nutcracker Museum in Neudorf, the Nutcrackers today no longer seem to be the best sellers. In shops, they usually are on the top shelves. But I like some of them, such as the Olbernhauer Reiterlein (Olbernhauian Horsemans) and Munchausen. As in E. T. A. Hoffmann's fairy tale of the Nutcracker and the Mouse King, which we owe the Erzgebirgian Nutcrackers, we find in our puzzle hussars. Both want to color the grid with their uniform color. Please help them.

Draw some blue and red triominoes (3-cell blocks) so that fields with the same color of different blocks are not orthogonally adjacent. All triomino of the same color are connected diagonally.

Red or blue

The unvisible bridle path

A popular motif of Nutcrackers are Olbernhauian riders. Our rider has ridden on the puzzle grid, but which way he has taken?

Draw the bridle path, with the following rules:

  • The start is in the top row.
  • Start and finish cell are different.
  • The path is exactly 49 fields long.
  • The path must be connected horizontally or vertically, it must not touch or cross itself.
  • The numbers in the grid indicate how many cells of the path are horizontally, vertically or diagonally adjacent to the number.
  • The bridle path does not go through cells with a number.

The unvisible bridle path

Cinderellas Doro

For some reason, you will find fairy tale characters (except of Nutcrackers and several dwarves) only sporadically during Mannlzeug. But our Cinderella takes care of something that is very important for the Erzgebirgian Christmas, namely lentils. In many families they are one of the nine parts of the Neinerlaa. The Erzgebirgians say in the next year they will bring coins into the house (other families eat for this purpose millet). Like Cinderella, we have something to sort in our puzzle.

There are three forms (triangle, circle, square) in three colors (red, blue, yellow). Place in each row and column three of the colored forms, so that all forms are different, but have the same color or the same form. The three border forms say, that in this column or row the forms have to be the same.

Cinderellas Doro

The smoking gardener

Raachermannl is the local name of incense smokers. There origin is the Erzgebirge. The first time they were mentioned around the year 1830. Old smokers show only professions and motives of the village life. Our smoking gardener fits into this tradition. His head smokes due to the following puzzle:

The grid contains small gardens. These are rectangular green areas, which are separated by hedges. Each garden contains exactly one number. This number represents the number of fields in this garden. The gardens may not touch each other than at the corners. Each 2x2 area contains at least one garden field. Find the gardens.

The smoking gardener

Submarines

Locate the position of a submarine fleet in the grid. Each submarine needs one square in the grid. The number of submarines is not known The numbers beside the grid indicate the number of cells occupied by submarines in each row, while the numbers below the grid indicate the number of occupied cells in each column. Submarines may touch the edge of the board, but cannot touch each other, not even diagonally. Blue cells are known to be water.

Example:

Example

Puzzle:

Submarines

Submarines

Locate the position of a submarine fleet in the grid. Each submarine needs one square in the grid. The number of submarines is not known The numbers beside the grid indicate the number of cells occupied by submarines in each row, while the numbers below the grid indicate the number of occupied cells in each column. Submarines may touch the edge of the board, but cannot touch each other, not even diagonally. Blue cells are known to be water.

Example:

Example

Puzzle:

Submarines

Double Fleet Subset Battleships

Locate the position of a 20-ship fleet in the grid. The shapes of the ships are shown to the right of the grid. There is two 4x1 battleship, four 3x1 cruisers, six 2x1 destroyers and 8 1x1 submarines. But in the grid is only a subset of this fleet. The numbers beside the grid indicate the number of cells occupied by ships in each row, while the numbers below the grid indicate the number of occupied cells in each column. Ships may touch the edge of the board, but cannot touch each other, not even diagonally. One cell is known to be water. Some cells are known to be ship parts.
There is only one solution. You can find it by logic.

Double Fleet Subset Battleships

Single Fleet Subset Battleships

Locate the position of a 10-ship fleet in the grid. The shapes of the ships are shown to the right of the grid. There is one 4x1 battleship, two 3x1 cruisers, three 2x1 destroyers and 4 1x1 submarines. But in the grid is only a subset of this fleet. The numbers beside the grid indicate the number of cells occupied by ships in each row, while the numbers below the grid indicate the number of occupied cells in each column. Ships may touch the edge of the board, but cannot touch each other, not even diagonally. Some cells are known to be water. Some cells are known to be ship parts.

Single Fleet Subset Battleships </p />
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Crowded Battleships

Locate the position of a 10-ship fleet in the grid. The shapes of the ships are shown to the right of the grid. There is four 4x1 battleship, three 3x1 cruisers, two 2x1 destroyers and one 1x1 submarine. The numbers beside the grid indicate the number of cells occupied by ships in each row, while the numbers below the grid indicate the number of occupied cells in each column. Ships may touch the edge of the board, but cannot touch each other, not even diagonally. Some cells are known to be water.

Crowded Battleships

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