8 wpf puzzle instruction...

ROUND 58

WPF PUZZLE GP 2018INSTRUCTION BOOKLET

Host Country: BulgariaDeyan Razsadov

Special Notes: None.

1-2. Arrows (50, 33 points)

Points:

1. Arrows 50

2. Arrows 33

3. Snake (Length, Ends) 23

4. Snake (Length, Ends) 32

5. Slitherlink 15

6. Skyscrapers 28

7. Skyscrapers 20

8. Cave 29

9. Cave 26

10. Fillomino 57

11. Magnets 71

12. Slitherlink (Big Cells) 23

13. Slitherlink (Big Cells) 23

14. Skyscrapers (Big Cells) 21

15. Cave (Big Cells) 51

16. Fillomino (Big Cells) 55

17. Antidomino Snaky Loop 37

18. Antidomino Snaky Loop 64

TOTAL: 655

Draw an arrow in each of the empty cells outside the main grid. Each arrow must point in one of the eight standard directions, and must point to at least one numbered cell. Each numbered cell must be pointed at by exactly that number of arrows.

Answer: The contents of indicated rows, from left to right. Use ‘A’ for an arrow pointing diagonally left, a ‘B’ for an arrow pointing orthogonally, and ‘C’ for an arrow pointing diagonally right.

Example Answer: CACCA,BCAAA

3 3 1 4 2 4 1 5 1 2 5 6 2 4 3 4 2 2 1 2 2 1 3 2 1

3 3 1 4 2 4 1 5 1 2 5 6 2 4 3 4 2 2 1 2 2 1 3 2 1

A B C

8ROUND 5WPF PUZZLE GP

3-4. Snake (Length, Ends) (23, 32 points)

5. Slitherlink (15 points)Draw a single, non-intersecting loop that only consists of line segments between the dots along the dotted lines. A number inside a cell indicates how many of the edges of that cell are part of the loop.

Answer: For each designated row, enter its contents from left-to-right. Use ‘O’ for a cell inside the loop and ‘X’ for a cell outside the loop.

Example Answer: XXOOX,OXOXX

Locate a “snake” in the grid. The snake is a path that starts in a cell, goes through some number of cells orthogonally, and ends in a cell. Each cell is used at most once by the snake. The snake may not loop around to touch itself, not even diagonally. (In other words, if two cells in the snake touch orthogonally, then they must be exactly one cell apart along the path of the snake, and if two cells in the snake touch diagonally, then they must be exactly two cells apart along the path of the snake.) Numbers outside the grid, if given, indicate how many cells in that row or column are occupied by the snake.

The snake must occupy exactly 45 cells (10 cells in the example puzzle). The two ends of the snake are given.

Answer: For each designated row, enter its contents. Use O for a cell occupied by the snake and X for a cell not occupied by the snake. (If you wish, you may reverse O and X, but you must be consistent within the same puzzle.)

Example Answer: OOXXX, XXXOO (or XXOOO, OOOXX)

1 2 2 4 2 4 2

1 2 2 4 2 4 2

1 0 3 2 3 2 2 1 2 3

1 0 3 2 3 2 2 1 2 3

6-7. Skyscrapers (28, 20 points)

1 3 4

3 2

2

Skyscraper Clue ExamplesPlace a number from 1 to X (integers only) into each cell so that each number appears exactly once in each row and column. (X is the number of cells in each row.) Each number represents a skyscraper of its respective height. The numbers outside the grid indicate how many skyscrapers can be seen in the respective row or column from the respective direction; smaller skyscrapers are hidden behind higher ones. Some numbers may already be filled in for you.

Answer: For each designated row, enter its contents. Do not include any numbers outside the grid.

Example Answer: 45312,23541

4 5 3 1 2 5 4 1 2 3 1 2 4 3 5 2 3 5 4 1 3 1 2 5 4

5 3 3 4 3

4 2

5 3 3 4 3

4 2


8-9. Cave (29, 26 points)

10. Fillomino (57 points)

Divide the grid along the dotted lines into regions (called polyominoes) so that no two polyominoes with the same area share an edge. Inside some cells are numbers; each number must equal the area of the polyomino it belongs to. A polyomino may contain zero, one, or more of the given numbers. (It is possible to have a “hidden” polyomino: a polyomino without any of the given numbers. “Hidden” polyominoes may have any area, including a value not present in the starting grid, such as a 6 in a puzzle with only clues numbered 1-5.)

The dots in cells are only used for entering your answers.

Answer: Enter the area of the polyomino each dot is in, reading the dots from left to right. (Ignore which row the dots are in.) Use only the last digit for two-digit numbers; e.g., use ‘0’ for a polyomino of size 10.

Example Answer: 82523655

Shade some cells to leave behind a single orthogonally-connected group — the cave — with no shaded cells enclosed within the cave. In other words, all shaded cells must be connected edge-wise by other shaded cells to an edge of the grid. All numbered cells must be a part of the cave (and therefore not shaded). Each number indicates the total count of cells connected in line vertically and horizontally to the numbered cell including the cell itself.

Answer: For each designated row, enter the length in cells of each of the cave segments (not the shaded cells outside the cave) from left to right. Use only the last digit for two digit numbers; e.g., use ‘0’ for a segment of length 10. If there are no cells belonging to the cave in the row, enter a single digit ‘0’.


8 2 3 6

2 6 3 5

8 2 3 6

2 6 3 5

8 1 4 2 4 2 4 6 6 5 1 5 2 4 1 4 3 4 5 3

8 2 5 2 3 6 5 5

8 1 4 2 4 2 4 6 6 5 1 5 2 4 1 4 3 4 5 3


11. Magnets (71 points)

Draw a single, non-intersecting loop that only consists of line segments between the dots along the dotted lines. A number inside a cell indicates how many of the edges of that cell are part of the loop.

Some cells in the grid are larger than regular cells (and can have more than four edges).

Answer: For each designated row, enter its contents from left-to-right. Use ‘O’ for a cell inside the loop and ‘X’ for a cell outside the loop. (Large cells should only be entered once.)

Example Answer: XOXOX,XOOOXX

12-13. Slitherlink (Big Cells) (23, 23 points)

The grid is partitioned into regions of two square cells each (note that only region borders are drawn). Put “positive” (+) and “negative” (–) symbols into some cells, at most one symbol per cell, such that each region either has two symbols or no symbols at all. Adjacent cells (even within a region) cannot contain the same symbol.

The numbers above and to the left of the grid indicate the exact number of symbols of the specified type that must be placed in each column or row, respectively. If a number is not given, there might be any number of symbols of the specified type.

The dots in cells are only used for entering your answer.

Answer: Enter the contents of each dotted cell, reading the dots from left to right. (Ignore which row the dots are in.) Use ‘P’ for a “positive” (+) symbol, ‘N’ for a “negative” (–) symbol, and ‘X’ for an empty cell. Alternatively, you may use ‘+’ for a positive symbol, ‘-’ for a negative symbol, and ‘X’ for an empty cell, but do not mix the two systems!

Example Answer: PXPXNP (or +X+X-+)

+ 2� 0 3

0 1

2 2

2 3

P X P X N P13

– + – + – + – – + – + + + – + – + –

+ 2 � 0 3 0 1

2 2

2 3

13

2 3 3 2 0 3 2 1 1 2

5

6

2 3 3 2 0 3 2 1 1 2

5

6


14. Skyscrapers (Big Cells) (21 points)

15. Cave (Big Cells) (51 points)

Place a number from 1 to X (integers only) into each cell so that each number appears exactly once in each row and column. (X is the number of cells in each row.) Each number represents a skyscraper of its respective height. The numbers outside the grid indicate how many skyscrapers can be seen in the respective row or column from the respective direction; smaller skyscrapers are hidden behind higher ones. Some numbers may already be filled in for you.

Some cells in the grid are larger than regular cells and can occupy more than one row or column. Some areas of the grid might not contain any numbers; those areas are colored in gray.

Answer: For each designated row, enter its contents. Do not include any numbers outside the grid.


Shade some cells to leave behind a single orthogonally-connected group — the cave — with no shaded cells enclosed within the cave. In other words, all shaded cells must be connected edge-wise by other shaded cells to an edge of the grid. All numbered cells must be a part of the cave (and therefore not shaded). Each number indicates the total count of cells connected in line vertically and horizontally to the numbered cell including the cell itself.

Some cells in the grid are larger than regular cells, and can span multiple rows or columns. For purposes of numbered cells and the answer key, a large cell counts as one cell even if only part of the cell is connected in line to the the numbered cell.

Answer: For each designated row, enter the length in cells of each of the cave segments (not the shaded cells outside the cave) from left to right. Use only the last digit for two digit numbers; e.g., use ‘0’ for a segment of length 10. If there are no cells belonging to the cave in the row, enter a single digit ‘0’.


2 1 3 4 2 1 3 4 1 2 4 3 1 2 4 3

3 2 1 2

3 3 3 2

3 2 1 2

3 3 3 2

2

3

6 3 4

2

3

6 3 4

4 7 5 7 2 2 4 3 3

3 4 7 5 3

4 7 5 7 2 2 4 3 3

Divide the grid along the dotted lines into regions (called polyominoes) so that no two polyominoes with the same number of cells share an edge. Inside some cells are numbers; each number must equal the number of cells of the polyomino it belongs to. A polyomino may contain zero, one, or more of the given numbers. (It is possible to have a “hidden” polyomino: a polyomino without any of the given numbers. “Hidden” polyominoes may have any number of cells, including a value not present in the starting grid, such as a 6 in a puzzle with only clues numbered 1-5.)

Some cells in the grid are larger than regular cells.

The dots in cells are only used for entering your answers.

Answer: Enter the number of cells in the polyomino each dot is in, reading the dots from left to right. (Ignore which row the dots are in.) Use only the last digit for two-digit numbers; e.g., use ‘0’ for a polyomino that contains 10 cells.

Example Answer: 34753

16. Fillomino (Big Cells) (55 points)


17. Antidomino Snaky Loop (37, 64 points)

Locate a “snaky loop” composed of a full set of dominoes (without doubles) in the grid; it goes through some number of cells orthogonally and comes back to itself. Each cell is used at most once by the loop. The loop may not touch itself, not even diagonally. (In other words, if two cells in the loop touch orthogonally, then they must be exactly one cell apart along the path of the loop, and if two cells in the loop touch diagonally, then they must be exactly two cells apart along the path of the loop.)

Each cell in the loop must contain half of a domino. Domino halves that contain the same number may not be in the same row nor the same column. They also may not touch at a corner. Numbers are always right-side-up regardless of the orientation of its domino. A full set of dominoes will be provided for your convenience; the smallest and largest numbers on the dominoes may change from puzzle to puzzle.

The outer clue for each row (or column), when given, tells you the number of cells in that row (or column) that are part of the loop. The inner clue, when given, tells you the sum of the numbers of all domino halves in that row (or column). The contents of some cells has been given to you.

Answer: For each designated row, enter its contents from left to right. Use ‘X’ for a cell not occupied by the snake. (Do not enter any count and sum clues given outside the grid.)

Example Answer: XX2543,431X5X

# 3 3 4 2 4 4 ∑ 9 10 13 4 3 8 3 8 3 10 4 13 3

2 5 4 3 4 3 1 1 2 5 5 3 2 4 3 1 5 4 2 1

2a

2b

# 3 3 4 2 4 4 ∑ 9 10 13 4 3 8 3 8 3 10 4 13 3

2

1 5

2a

2b

1 2

1 3 2 3

1 4 2 4 3 4

1 5 2 5 3 5 4 5

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