Post on 19-Jun-2020
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.
Example Answer: 1463580972
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
2020ROUND 5WPF PUZZLE GP
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
2020ROUND 5WPF PUZZLE GP
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
2020ROUND 5WPF PUZZLE GP
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
ent of size 10. If there are no black cells in the row
, enter a single digit ‘0’.
Example A
nswer: 2
121,132
122
7a
7b
2020ROUND 5WPF PUZZLE GP
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.
Example Answer: 261627135
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
2020ROUND 5WPF PUZZLE GP
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
ent of size 10. If there are no black cells in the row
, enter a single digit ‘0’.
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
2020ROUND 5WPF PUZZLE GP
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.
Example Answer: 453776
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
2020ROUND 5WPF PUZZLE GP
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 ¶llel 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
2020ROUND 5WPF PUZZLE GP
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
2020ROUND 5WPF PUZZLE GP
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
2020ROUND 5WPF PUZZLE GP
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