Zoltán Horváth, Victor Samu, László Osvalt · Kropki [Victor Samu] (33 points) 8. Tapa...

ROUND 52020

WPF PUZZLE GP 2020COMPETITION BOOKLET

Host Country: HungaryZoltán Horváth, Victor Samu, László Osvalt

Special Notes: The writers would like to thank Pál Madarassy for puzzle checking. Some pages will have their puzzles rotated, to better fit the puzzle on the page. Please note that the theme was chosen in January, before current events made it less appropriate for 2020. Some puzzles use color; the coloring is for aesthetic purposes only.

1. Password Path [Zoltán Horváth] (25 points)

2. Fillomino [Victor Samu] (36 points)

Find a path that starts at the upper-left letter, ends at the lower-right letter, goes through each letter once, and repeats only the password (given below the grid). The path may only travel in the eight standard directions and may not intersect itself.

P U Z U Z Z Z Z P E L P Z U L L E U L Z P E Z Z E U Z Z U Z P L E P L E

1 2

3 4

5 6 7

8 9

0

PUZZLE

4a

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.)

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 51

20 5 20 1 4 20 4 1 1 5 5 5 9 20 5 5 3 5 20 9

2

T K Y O T O T K Y O K O K O Y O O T O T Y O Y K T T Y O Y O O T O O O K O K K Y T O K Y Y O T O K O

1 2 3

4

5 6

7 8

TOKYO

1

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

The small digits are only used for entering your answer.

Answer: Enter the order in which the digits appear on the path.


2020ROUND 5WPF PUZZLE GP

3-4. Spiral Galaxies [Zoltán H

orváth] (20, 36 points)

Divide the grid into polyom

ino-shaped regions such that each cell is in exactly one region. You m

ay only draw on the grid, as indicated by the

dotted lines. Each region must be rotationally sym

metric and contain

exactly one circle at the point of symm

etry.

The letters inside the circles are for Answer purposes only. Any areas m

arked in gray are not part of the grid.

Answ

er: For each designated row, enter the letter for each cell, from

left to right. The letter of a cell is the letter inside the circle that is the point of sym

metry for the region that contains that cell.

Example A

nswer: D

CECC,DFEEE

A

B

C

D

E

F

G

5a

5b

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

T

U

V

W

X

Y

Z

3a

3b

A

A

B

C

D

E

F

G

H

I

J

K

L

M

N

O

P

Q

R

S

4


5. Dominion [Zoltán Horváth] (28 points)

6. Hydra [Victor Samu] (23 points)

Shade some empty (non-lettered) cells black (leaving the other cells white) so that the grid is divided into non-overlapping regions; cells of the same color are considered in the same region if they are adjacent along edges. All black regions must have exactly 2 cells. All white regions must contain at least one

A A C B

A C C D D A

3a

3a

Locate a “hydra” in the grid. The hydra is a region of orthogonally-connected cells. The hydra cannot go through any cells marked with ‘×’. No 2×2 group of cells can be entirely shaded black, and all cells that are not part of the hydra must be connected orthogonally (through other non-hydra cells) to the edge of the grid (in other words, the hydra may not loop or touch itself diagonally). All hydra cells that touch only one other hydra cell are provided. One of them is the “tail” of the hydra and labeled with the number 1; the others are the “heads” of the hydra and each one is labeled with the number of hydra cells that are needed to connect the tail of the hydra with that head (including the head and tail cells).

Answer: For each designated row, enter its contents. Use O for a cell occupied by the hydra and X for a cell not occupied by the hydra. Alternatively, you may use any two distinct characters instead of ‘XO’.

Example Answer: XOXXOX,OXXXOX

7a

7b

3 6 1 1 8 8 17

11

Y T T

O

T K

Y

O K O O O O O

5a

5a

6a

6b

32 44 20

1 27

lettered cell. All lettered cells within the same (white) region must contain the same letter. All cells that contain the same letter must be in the same region.

Answer: For each designated row, enter its contents from left to right. For the contents of a white cell, enter the letter for a lettered cell in that region. For the contents of a black cell, enter the letter ‘X’.

Example Answer: AAXXAXCC,AXDDXXDX


7. Kropki [Victor Samu] (33 points)

8. Tapa (Transparent) [Zoltán Horváth] (52 points)

Place a number from

1 to X (integers only) into each cell so that each num

ber appears at most once in each row

and colum

n. (X is the number of cells in each row

.) A w

hite dot on the edge of tw

o cells indicates that those two cells m

ust contain consecutive num

bers; a black dot on the edge of tw

o cells indicates that a number in one of those cells is

double the value of the number in the other cell. If 1 and 2

are in adjacent cells, then the dot between them

could be either color. If there is no dot on the edge of tw

o cells, it m

eans neither a black nor a white dot could go there.

4

O

3 O

2 XO

1

X

.

X

.

2 XO 1

. 4

O

3

XO

.

O

O

1 .

4 O

3

O

2

.

X

.

X

3 O

2 XO

1 .

4

4

3 2

1

2 1

4 3

1

4 3

2

3 2

1 4

4a

4b

Shade some cells black (unlike regular Tapa, cells w

ith num

bers can be shaded). All black cells connect along

edges to create a single connected region. (It is permissible

for the region to touch itself at a corner, but touching at a corner does not connect the region.) N

o 2×2 group of squares can be entirely shaded black.

Num

bers in a cell indicate the sizes of all orthogonally-connected black cell regions w

ithin the “block” of cells that includes all cells touching the num

bered cell and the cell itself (usually 9 cells, but few

er at the edges). The numbers

7a

7b

13

13

114

111 1

5

4

4

7

O

3 O

2 XO

1

X

.

X

.

2 XO 1

. 7

O

3

XO

.

O

O

1 .

7 O

3

O

2

.

X

.

X

3 O

2 XO

1 .

7

7a

7b

8

13

13

13

13

13

12

12

15

15

15

15

15

15

14

14

14

14

33

33

33

33

23

23

24

24

24

114

113113

112

112

5

55

55

7

66

3

3 3

44

4

44 4

are given in no particular order. As a special case, if the

number given in a cell is a zero (0), it m

eans that none of the cells can be shaded black.

Answ

er: For each designated row, enter the length in

cells of each of the shaded segments from

left to right. U

se only the last digit for two-digit num

bers; e.g., use ‘0’ for a segm

ent of size 10. If there are no black cells in the row

, enter a single digit ‘0’.

Example A

nswer: 1

13,5

Answ

er: For each designated row

, enter its contents from

left to right.

Example A

nswer: 4

321,1432


9. Tapa (Wall) [Zoltán H

orváth] (52 points)

9a

9b

13

13

13

12

14

23

23

23

23

23

23

22

112

122

5

Shade some em

pty cells black; cells with num

bers cannot be shaded. All black cells connect along edges to

create a single connected region. (It is permissible for the region to touch itself at a corner, but touching at a

corner does not connect the region.) No 2×2 group of squares can be entirely shaded black.

Num

bers in a cell indicate the lengths of contiguous black cell groups along the “ring” of 8 cells touching that cell (few

er for cells along the outside edge). If there is more than one num

ber in a cell, then there must

be at least one white (unshaded) cell betw

een the black cell groups. The numbers are given in no particular

order. As a special case, if the num

ber given in a cell is a zero (0), it means that none of the cells around that

cell can be shaded black.

There are some “w

alls” (highlighted edges) given in the grid. Exactly one of the two cells connected to the

wall m

ust be black.

Answ

er: For each designated row, enter the length in cells of each of the shaded segm

ents from left to right.

Use only the last digit for tw

o-digit numbers; e.g., use ‘0’ for a segm



Example A

nswer: 2

121,132

122

7a

7b


10. LITS [Victor Samu] (45 points)

11. Star Battle [Victor Samu] (46 points)

Shade exactly four connected cells in each outlined region to form a tetromino, so that the following conditions are

Place stars into some cells in the grid, no more than one star per cell. Each row, each column, and each outlined region must contain exactly two stars. Cells with stars may not touch each other, not even diagonally.

The numbers on top of the diagram are for Answer purposes only.

Answer: For each row from top to bottom, enter the number of the first column from the left where a star appears (the number on top of that column). Use only the last digit for two-digit numbers; e.g., use ‘0’ if the first star appears in column 10.


1a

1b

1 2 3 4 5 6 7 8 9

2 6 1 6 2 7 1 3 5

4a

T

IL S

10a

10b

1 2 3 4 5 6 7 8 9 0 1 2 3

11

true: (1) All tetrominoes are connected into one large shape along their edges; (2) No 2×2 group of cells can be entirely shaded; (3) When two tetrominoes share an edge, they must not be of the same shape, regardless of rotations or reflections. (Not all four possible shapes have to be present in the grid; for example, it is possible for your solution to not have any “I” shapes.) Cells with an ‘X’ (if given) are not part of any region.

A list of shapes to the letters “LITS” is provided. This is only needed for entering your answer.

Answer: For each designated row, enter the contents of each cell, from left to right. For each cell, its contents are the letter of the tetromino occupying that cell, or the letter ‘X’ if the cell is not shaded.

Example Answer: LLXTXL,TTTLLL


12. Kurotto [Zoltán Horváth] (39 points)

Shade some em

pty (non-circled) cells black (leaving the other cells white) so that the grid is divided into

non-overlapping regions; cells of the same color are considered in the sam

e region if they are adjacent along edges. For each given num

ber, the total size of all black regions orthogonally adjacent to that number m

ust m

atch the number.

Answ

er: For each designated row, enter the length in cells of each of the shaded segm

ents from left to right.

Use only the last digit for tw

o-digit numbers; e.g., use ‘0’ for a segm



Example A

nswer: 2

,11

3

1

2

4

5

6

2

1

3

2

7a

7b

6 2

2

3 1

2

1

5

4

5

4

4

5

3

2

3

2

1

3

2

2

4

5

6

4

3

3

4

5

2

12

a

12

b


13. Fillomino (Cipher) [Zoltán Horváth] (80 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.)

Numbers have been encoded to letters (distinct numbers map to distinct letters, and vice versa). The mapping of numbers to letters has not been supplied for you.

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.


A D O R N S O F D

F R O N D S

4 5 3 7 7 61

O O O Y Y Y O O K Y T T O O O T Y O O K K T K K Y T Y K Y O O O Y Y O O O O O O O T O K Y O

13


14. Scrabble (2+ Crossings) [László Osvalt] (56 points)

Put at most one letter into each cell so

that the given words can be read either

across (left-to-right) or down (top-to-

bottom) in consecutive cells in the grid.

Every word m

ust appear in the grid exactly once, and no other w

ords may

appear in the grid (that is, if two cells are

filled and are adjacent, then there must

be a word that uses both of them

). Every w

ord must have either a blank cell or the

edge of the grid before and after it. All

letters must be (orthogonally) connected

in a single group.

Copies of some letters are already

supplied in the grid. If a cell has a white

E

S

L

M

C Y

P R

U

S

O

U

A

X

L

A

I C

E L

A

N

D

S U

D

A

N

M

U

O

O

B

S

V

R

C

R O

A

T

I A

U

R

G

E

O

R G

I

A

G

A

1a

1a

1a

1a

C

A

A

C

A

D

A

B

C

A

A

A

A

U

J I

I C

I

I

I

U

I

U

R

I

U

G

I

U

J

I

W

U

U

J I

O

O

O

R

R

O

O

U

I

R

U

R

I C

I

U

R

R

I

I

14

a

14

b

14

c

A R A

I D

A I C H

I E M

O T O

F U J I M

O T O

K A J I Y A

M A

K A S A

I K I T A

M U

R A K I Y O

K A W

A K O

D A

I R A K O

G A

M A

S A E

M A

S A Y U

K I M

A T S U

T O M

O M

A T S U

O K A

M I Y A

H A

R A M

I Y A M

O T O

M U

N E J I

N A

K A T A

N I

S A T O

Y A S H

I N O

Z A K I

S O N

O D

A T A

K A N

O R I

T A K E I C H

I T O

S A K A

T O Y O

K A Z U

T S U K A

H A

R A T S U

R U M

I Y O

N E D

A Y U

K I O Y U

T A K A

Shigeo Arai, 1936

4x200m freestyle relay

Daichi Suzuki, 1988

Men’s 100m

backstroke

Naho Em

oto, 2008W

omen’s softball

Motoko Fujim

oto, 2008W

omen’s softball

Hiroshi Kajiyam

a, 1976M

en’s gymnastics

Masae Kasai, 1964

Wom

en’s volleyball

Kusuo Kitamura, 1932

Men’s 1500m

freestyle

Masaji Kiyokaw

a, 1932M

en’s 100m backstroke

Nao Kodaira, 2018

Wom

en’s 500m speed skating

Toshihiko Koga, 1992M

en’s 71kg judo

Masae U

eno, 2004/2008W

omen’s 70kg judo

Masayuki M

inami, 1972

Men’s volleyball

Misaki M

atsutomo, 2016

Wom

en’s doubles badminton

Yoshiyuki Matsuoka, 1984

Men’s 65kg judo

Atsuji M

iyahara, 1984Flyw

eight Greco-Rom

an wrestling

Kazutomo M

iyamoto, 1984

Men’s baseball

Muneji M

unemura, 1968

Lightweight G

reco-Roman w

restling

Takahide Nakatani, 1964

Men’s 68kg judo

Tae Satoya, 1998W

omen’s freestyle skiing

Yoko Shinozaki, 1964W

omen’s volleyball

Isamu Sonoda, 1976

Men’s 80kg judo

Takanori Kono, 1992/1994M

en’s nordic combined skiing

Takeichi Nishi,1932

Show jum

ping individual equestrian

Eri Tosaka, 2016W

omen’s 48kg freestyle w

restling

Toyokasu Nom

ura, 1972M

en’s 70kg judo

Mitsuo Tsukahara, 1972/1976 &

1968/1972/1976H

oriz. bar & M

en’s art. team all-around gym

nastics

Shuji Tsurumi, 1960/1964

Men’s ar tistic team

all-around gymnastics

Isao Yoneda 2004M

en’s artistic team all-around gym

nastics

Yukio Endo, 1960/1964 & 1964 &

1964M

en’s art. team all-around gym

nastics &parallel bars &

individual all-around

Yutaka Wada, 1984

Men’s baseball

background, then all instances of those letters are given. Letters in cells w

ith a non-white

background might have to be put in other

empty cells.

Every word m

ust intersect at least two

other words.

Answ

er: For each designated row, enter

its contents from left to right, ignoring any

blank cells. If all cells in the row are blank,

enter a single letter ‘X’.

Example A

nswer:

CYPRUSO,SUDANMUO,UR,GA


15. Hexa 7 [Zoltán H

orváth] (63 points)

Place a number from

1 to 7 (integers only) into each cell. If two cells touch the sam

e (numbered)

cell, then they must contain different num

bers. The grid may have som

e holes in it (marked in

black); cells touching the same hole do not necessarily contain different num

bers. Adjacent cells that do not touch a com

mon cell do not necessarily contain different num

bers.

Answ

er: For each designated row, enter its contents. D

o not enter anything for holes.

Example A

nswer: 1

64453,2324

2

1

1 6

5

5

6 2 3

2 4

4

7

5

1

3 2

2 1

1 6 4 4 5 3

7 5

6 7 2 3

2 4

4 6 7 3 5

5 2 1 6

8a

8b

6

2

4 7 6

4

1

2

5 1

3

5

3

6

2

7

2

7

3

3

7

1

3

6

5 3 2

3 4 6

15

a

15

b


16. Yajilin [Zoltán Horváth] (81 points)

Blacken some w

hite cells and then draw a single

closed loop through all remaining w

hite cells. The loop m

ay not intersect itself, go through a cell corner, or go through a cell m

ore than once. The loop m

ust go through the center of every cell it goes through and all turns in the loop m

ust be at cell centers. Blackened cells cannot share an edge w

ith each other. Some cells are outlined and in gray

and cannot be part of the loop. Num

bered arrows

in such cells indicate the total number of blackened

cells along the direction of the arrow, starting in

the arrowed cell and going along a row

or column.

0

0 2

0 3

0

21

0

4a

1

2

3

4

5

6

3

4a

1

2

3

4

5

6

7

8

9

0

1

2

16

45

4

3

2

2

2

2

2

2

2

2

2

1

11

0

0

0

0

0

0

The competition puzzle grid is non-convex, w

hich means

that arrows can point to blackened cells beyond the grid

edge as long as they are still lined up along the arrow’s

direction.

The numbers on left of the diagram

are for Answer purposes

only.

Answ

er: For each column from

left to right, enter the row

number of the top-m

ost blackened cell. (Outlined gray

cells are not blackened.) Use only the last digit for tw

o-digit num

bers; e.g., use ‘0’ for row 10. If none of the cells

in a column are blackened, enter ‘0’ for that colum

n.

Example A

nswer: 0

02030


17. Hex Islands [Victor Samu] (77 points)

Shade some empty cells black so that the black cells form the provided shapes. Each shape is used exactly once and can be rotated but not reflected. Shapes cannot touch along edges. The cells are separated into several “islands”; each island has several rows that go along three different directions, and each row can be potentially pointed at from the two locations outside either end of the row. Some of these locations are marked with arrows. The arrows point at the rows that contain the most shaded cells when compared to the other rows that could be pointed at from that location. (If there are multiple rows that have the most shaded cells, then all such arrows are given). A dot at a location means that no arrow information is given. (Note that locations do not look past islands to see other islands beyond the immediately adjacent island.)

8a

8b

8b

I

DC

The letters for the shapes, as will be provided in the diagram, are only used for entering your answer.

Answer: For each designated row, enter the letter for each shape that appears in that row, from left to right. For purposes of this answer, rows can go through multiple islands. Within a row, if a shape occupies more than one cell, only enter that shape’s letter once. If there are no shapes in that row, enter a single letter ‘X’.

Example Answer: X,IC,I

17a

17b

17c

I L

PS Z

Q

OJ

U

A

Zoltán Horváth, Victor Samu, László Osvalt · Kropki [Victor Samu] (33 points) 8. Tapa...

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