8ROUND 8

WPF PUZZLE GP 2018

COMPETITION BOOKLET

Host Country: SerbiaČedomir Milanović, Zoran Tanasić, Nikola ŽivanovićSpecial Notes: In an earlier version of this round puzzles 7-8 and 13-14 were incorrectly credited. Their author isČedomir Milanović.
1-2. SUMS [Nikola Živanović] (14, 30 points)
Place a number from 1 to N (integers only) into each cell. (N is the total number of cells in thegrid.) Every cell must contain a different number. The numbers outside the grid, when given,indicate the sum of the numbers in the corresponding row, column, or diagonal.
Some numbers may already be filled in for you.
Answer: For the indicated rows, enter their contents. Use only the last digit for two-digit
numbers; e.g., use ‘0’ for the number 10. Do not include any given numbers outside the grid.
Example Answer: 167,589

1a1b15 17 15 13 14187202a2b26 30 27 45 34 57
27233650

9a9b14 8 18 19 16
14 1 6 7
9 2 4 322 5 8 9WPF PUZZLE GP

ROUND 883-4. TRID [Zoran Tanasić] (32, 40 points)
Place a number from 1to X (integers only) into
each circled cell so thatthe numbers along eachline are all different. (Xis the number of cells
along the longest line.)
The numbers inside thegrid indicate the sumof the three numbers in
the adjacent circled cells.
Some cells may alreadybe filled in for you.

11113a1116

Answer: For each
designated row, enterits contents from left
to right. Use only thelast digit for two digit
numbers; e.g., use ‘0’ forthe number 10. Do notinclude any numbers notin circles.

1417

9133bExample Answer:
352,21435
1439a59b2

8
12
5

2
132148
3412

8

5

1118
161421134b232210224a9815

1718

21

159

WPF PUZZLE GP

ROUND 885-6. GAPS [Zoran Tanasić] (10, 18 points)
Blacken some cells in the grid suchthat each row and each column
contains exactly two blackened
cells. The numbers to the left of(or above) the grid indicate thenumber of unblackened cells
between the blackened cells inthat row (or column). Blackened
cells may not touch each other,not even diagonally.

5The numbers on the far top of thediagram are for Answer purposes
only.

51234567

1Answer: For each row from topto bottom, enter the numberof the first column from the left
where a blackened cell appears(the number on the far top of thatcolumn). Use only the last digit for
two-digit numbers; e.g., use ‘0’ if
the first blackened cell appears incolumn 10.

8966

1

Example Answer: 273151626
41

234656789612345672 6 576463

8940

WPF PUZZLE GPROUND 887-8. LITS [Čedomir Milanović] (35, 38 points)
Shade exactly four connected
cells in each outlined region toform a tetromino, so that thefollowing conditions are true: (1) All
tetrominoes are connected into one
large shape along their edges; (2)No 2×2 group of cells can be entirely
7ashaded; (3) When two tetrominoes
share an edge, they must not beof the same shape, regardless ofrotations or reflections. (Not all
four letters have to be present inthe 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.
7bA list of shapes to the letters “LITS”
is provided. This is only needed forentering 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 thetetromino occupying that cell, or theletter ‘X’ if the cell is not shaded.
Example Answer:
LLXTXL,TTTLLL
1a8a1b8b

WPF PUZZLE GPROUND 889-10. ARAF [Nikola Živanović] (30, 64 points)
Divide the grid along thedotted lines into regions(called polyominoes). Insidesome cells are numbers; eachpolyomino must containexactly two numbers, and thearea of the polyomino (in cells)
must be strictly between those
two numbers. Some numbers
may be prefixed with “<” or“>”; the polyomino containing
those numbers must have an
area less than or greater thanthat number, respectively.
The dots in cells are only used forentering your answers.
Answer: Enter the area ofthe polyomino each dot is in,reading the dots from left toright. (Ignore which row thedots are in.) Use only the last
digit for two-digit numbers;e.g., use ‘0’ for a polyomino ofsize 10.

5 69 41147 63 55 468 7 8

3 2 5 89Example Answer: 63646
2 4 5568 7 1612 4 4
4 2 27<7>5106 3 6 4 658 6 7
5 1 4101048 9 2
10 2 3455 12 6
8 6 76WPF PUZZLE GP

ROUND 8811-12. AYDA [Zoran Tanasić] (17, 27 points)
Place letters into some cells(no more than one letter percell) and place copies of theletter ‘A’ outside the grid, sothat the word “AYDA” appears
in each row and column (ineither direction), with no otherletters. A dot in a cell or outside
the grid indicate that no lettermay be placed there. An arrowoutside the grid indicates thatno letter may be placed there
and the word “AYDA” for thatrow (or column) must be readin the direction of the arrow.
Some letters may already be
filled in for you.

111

2

3

4

5

6

7

A
D YADThe numbers on top of thediagram are for Answer purposes
only.
Answer: For each row from top
to bottom, enter the numberof the left-most column where
the first non-’A’ letter appears(the number on top of thatcolumn). Use only the last digit
for two-digit numbers; e.g.,use ‘0’ if the first non-’A’ letter
appears in column 10.
Example Answer: 33112
41234AAYA DA Y DAA DYA YDA A A

5A
D A
Y AAA

12

123456A

7A
A
YADAAYAWPF PUZZLE GP

ROUND 8813-14. CAVE [Čedomir Milanović] (39, 46 points)
Shade some cells to leave behinda single orthogonally-connectedgroup — the cave — with noshaded cells enclosed within thecave. In other words, all shaded
cells must be connected edgewise by other shaded cells to anedge of the grid. All numberedcells 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 thenumbered cell including the cell
itself.
Answer: For each designatedrow, enter the length in cells ofeach of the cave segments (notthe shaded cells outside the cave)from left to right. Use only thelast digit for two digit numbers;e.g., use ‘0’ for a segment oflength 10. If there are no cells
belonging to the cave in the row,enter a single digit ‘0’.

213a22

34

4

5

5
6
7

788

99
1013b

11

Example Answer: 22,49a2 3

9b258656 3

114

10

3

14a92

8
7
614b5

94
3
2

876

WPF PUZZLE GP

ROUND 8815-16. VAMA [Nikola Živanović] (9, 26 points)
Blacken some cells in thegrid such that each row, eachcolumn, and each outlined
region contains exactly twoblackened cells. All blackened
cells must be connected into
one group (both diagonaland edge connections areallowed).

15Answer: For each row from
top to bottom, enter thenumber of unblackened cells
between the two blackened
cells in that row. Use only
the last digit for two-digit
numbers; e.g., use ‘0’ if there
are 10 spaces between thetwo blackened cells.
Example Answer: 33100
103310016

WPF PUZZLE GP

ROUND 8817-18. BACA [Nikola Živanović] (16, 38 points)
Blacken some cells and then placea single letter into every empty cellsuch that each of the letters ‘A’, ‘B’, and‘C’ appears exactly once in each row
and each column. Some cells alreadycontain a letter; these cells must either
be left alone or blackened (whichremoves that letter from the cell).
The letters outside the grid indicate
the first letter that can be seen in therespective row or column from therespective direction. When numbers
are given to the left of (and above) themain grid, they represent the lengthsof all the contiguous blackened cell
blocks in the corresponding row(or column). The lengths are given
in order from left to right (or top tobottom), and cell blocks must containat least one unblackened cell between
them.
Answer: For each designated row,enter its contents. Do not include anyletters or numbers outside the grid.
Use ‘X’ for an blackened cell.
Example1 Answer: XCAXB,CXXBA
1a1b1
A
C A
B
2 B A C BAB A C CA A B
CC B ACCB

18aA
17a

B

17bCA
CB
A

A
CB
B

B
ACCBACBACA
1 21 23 1A A A
A
A
A A A

B

2C 3
C C CCCC C C18bB
2 1 2 B B B
B
B
B B B
A

A B A
B
CC A BWPF PUZZLE GP

ROUND 8819-20. ABBA [Nikola Živanović] (35, 35 points)
Place letters into some cells (nomore than one letter per cell) suchthat each row, each column, andeach region contains exactly two‘A’s and two ‘B’s. Every region is
also a path, and the letters “ABBA”
must appear, in that order, along
the path, possibly with emptyspaces between them. (The routeof the path will be clear from thebolded edges.) Some letters may
already be filled in for you.

19
1234

567

B
B

AAnswer: For each row from top
to bottom, enter the number ofthe column where the left-most‘B’ appears (the number on topof that column). Use only the last
digit for two-digit numbers; e.g.,use ‘0’ if the left-most ‘B’ appears incolumn 10.

A

Example Answer: 11233
10
45B A
B
B B A
A B A B
A B A
AB A

1

23AA
B
B90A

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

11233820
1234567