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1-4. Previously On OAPC

1-2: Snail Sudoku: Fill the grid with digits 1~4, so that each digit appears exactly once in every row, columnand every 3x3 spiral. Digits should be placed orderly in the spirals, from the entrance to the center. Thenumbers outside the grid indicate the first seen number from that direction.3-4: Diagramless Kakuro: Place the digits 1-n (1-7 for the example) and some black squares into the grid toform a valid kakuro puzzle. The black squares in the grid have 180-degree rotational symmetry, all whitesquares are connected, and all digits belong to a sum of two or more numbers in both directions. Cluesgiven next to the grid indicate the sums that are formed in the grid. For the row clues, this means all cluesin the first row (from left to right) are listed before clues in the second row, and so on. For the column clues,all sums that have their uppermost cell in the first row (from left to right) are listed before clues that have theiruppermost cell in the second row, and so on.

Answer format:Write the content of the marked row/column. Use 0 for empty/blackened cells. 1-2: The answer for theexample would be: 043000102 3-4:The answer for the example would be: 1620473

3 1

4 3

2

1

2 1

3 1

1 4 3 2

2 3 4 1

3 4 2 1

1 2 4 3 3

4 3 1 2

1 1 2 4 3

2 4 3 1

3 1 2 4

4 1 2 3

2 1 Across: 8,6,7,21,7,7,10,11,8,12,15,9,16,4Down: 3,28,9,9,28,4,8,8,9,14,11,10

1 7 1 2 3

2 5 6 7 5 3

4 1 2 6 1

3 7 7 4

6 2 4 1 7

3 1 4 7 2 7

6 7 3 1 3

1- 6

1 2

3 4

1- 6

1 3

2

3

2 1

4 2

4

2 2

3 2

1

3

2

2

Across:6,14,11,5,18,12

Down:17,6,8,16,9,10

Across:11,8,21,9,15,21,13,3

Down:10,8,20,7,10,17,7,11,7,4

2.7 3.9

4.1 5.5

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Answer format: For each row, write the column numbers of empty cells. Ignore cells with cluesand use 0 if there is no empty cell in that row.The answer for the example would be: 0,4,3,12,16,2

5-8. RehberLocate all the given words in the grid, reading either from left to right or from top to bottom.There may be some empty cells between the letters. There cannot exist any word which is noton the list. Clues inside the diagram indicate the first visible letter in the corresponding direction.

AR,AS,BU

DAM,DON,RUMCAZA,KUZU,MART,ORAK,RAJAMACAR,SURATABAJUR

C

R

R

M

D O N A S

A R B U

M A C A R

R A J A

K U Z U

M A R T

1 2 3 4 5 6

C

R

R

M

1 2 3 4 5 6

AKARDAENOYSAUZALIKASOMOORGOYNANIZ

DOGUGUYUMINOOGUZUZAKSALONEAKSIYON

1 2 3 4 5 6 7

U

1 2 3 4 5 6 7 8

T

AA

AI

M

OAPCSNYDERVOIGTJOUSAGERMANYJAPAN

BEBEETEATNTTOY

CUMADEEPESASTAPEVEYATEMASSAINT

1 2

3 4

ALAZELTETLAITAYAEMITIGYOZAGRIARGOITRINIREYOGAANONIMANTALYA

IZMNNEALMERNFERMILVERYATATAYAZARLAKANURIALARMKAVUNMAFYAMAYIN

AM

A

MN

1 2 3 4 5 6 71 2 3 4 5 6 7

Y

Z

T

N

2.3 3.1

4.2 5.1

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3.5 3 .6

5.6 8 .8

9-12. Consecutive LoopFill the grid with digits 1-6/1-9 so that no digit is repeated within a row/column. Each pair ofconsecutive neighbours should have a line between them, forming a closed loop. All lines should bepart of the loop. There cannot be any loop lines in the crossed places, and some lines are alreadygiven.

Answer format: For each row,write the even digits outside the loop. Use 0 for the rows without evendigits. The answer for the example would be: 24,0,0,42,68,4682

1- 6

3 4

4 2

5 1

6 1

6

5 1

4

6 5 1

6

5 4

3 1

2

1- 6

1-9

7 3 8

2 1 5 4 83 9 6

8 9 7 2

2 4

6 1

7 8 3 1

3 5 2 7 8

5 7 16 2 8

7 2 4 5

7 4 1

8 3 5

1 6 9 5 7

1-9

1 2

3 4

2 1 5 4 7 8

3 9 2 1 5 6

5 3 9 2 4 1

4 2 3 8 1 5

6 8 7 5 9 3

9 4 6 7 8 2

2 4 7

3 9 5 6

9 4 1

2 8 1 5

6 7

9 4 7 2

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1 2

3 4

13-16. Tapa VariationsPaint some squares black to create a continuous wall. Number/s in a square indicate the length ofblack cell blocks on its neighbouring cells. If there is more than one number in a square, theremust be at least one white cell between the black cell blocks. Painted cells cannot form a 2x2square or larger.

13-14: Knapp DanebenTapa:All given numbers are wrong. The correct number is either 1 higher or 1 lower.A 1 can also be 0 in reality, but a 0 cannot become a 1.15-16: Tapa Pentopool:All unpainted cells should form given different pentominoes. The pentominoes may

be rotated and/or mirrored, and cannot touch each other from the sides. There are no wall or pentominosegments on cells containing numbers.

Answer format: Write the content of the marked row/column. Use 1 for blackened cells. Use 0

for empty cells and C for clue cells. 13-14: The answer for the example would be: 1110C15-16: Use the corresponding letters for the pentominoes. The answer for the example would be: 1I11V1PP

2

22

13

213

1

33

24

I,L,P,V,Z

3

4

22

3

2

11

37

3

4

22

3

2

11

37

Z

L

I

V

P4.6 4.8

5.3 7.9

227

6

5

5

6 2

33

141 3

13

13

W

N

V

Y

L

F

P

2 11

2

222

3

6

1

3

2222

22

131

22

3

33

1111

5

14

122

133

23

11

22

23

6

6

6

5

5

4

4

3

13

14

111

12

12

Z

W

NY

L

F

P

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17-20. Abacus SnakeLocate a snake in the grid that is 45 cells long (30 for the example) and doesnt touch itself. The1st, 15th and 45th (1st, 10th and 30th for the example) cells of the snake are given. Numbers outsidethe grid indicate the amount of snake segments in the corresponding directions.

Answer format: Write the content of the marked row, separated by commas. Use 0 for empty cells.The answer for the example would be: 0,0,8,0,20,0,30,0,27

1

1030

23

4

56

7

89

11

1213

1415

16

1718

1920

21 22

23

2425

26

2728

29

35

2

3

4

1

1030

35

2

3

4

2

5

151

45

5

5

5

2

4

4

6

6

2

1

45

15

5

3

6

4

44

43

3

2

1

15

45

5

5

3

5

6

2

22

6

4

42

1

15

45

5

5

5

2

3

4

6

6 4

4

1 2

3 4

3.3 3.4

5.2 6.6

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21-24. Tapa DistillerPaint some squares black to create a continuous wall. Number/s in a square indicate the length ofblack cell blocks on its neighbouring cells. If there is more than one number in a square, theremust be at least one white cell between the black cell blocks. Painted cells cannot form a 2x2square or larger.Clues of four puzzles are given in one grid. Distribute the clues to four grids and solve eachpuzzle. The cells with clues do not overlap, each clue cell should be fully visible in one grid only.

Answer format: Write the content of the marked row/column. Use 1 for blackened cells. Use 0for empty cells and C for clue cells. The answer for the first grid of the example would be: C1101

3

3

13

2

1

2

5

3

24

2

11

11

11

11 13

21

31 3

22 1

22 4

5

13

13

1111

11

11

3

2

1 solved

2 solved

3 solved

4 solved 16

12

9

8

3

3

13

1

6 3

2

1111

2

1

1 4

111

24

22

33

12

122

122 1

31

33

11

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25-28. Skyscraper BlocksPlace digits 1-6 into the grid so that no digit is repeated within a row/column.The digits outside thegrid indicate the number of buildings that can be seen from the corresponding direction.The buildings form two-digit numbers and the relations between some numbers are shownwith a greater/less sign.

Answer format: Write the content of the marked row/column. The answer for the example wouldbe: 465123

5

3 3

3

1 2

3 5

4 6

2 3

3 5

4 6

5 1

1 4

6 4

1 2

2 3

5 6

2

5

3 3

32

1.9 2 .0

4.1 5 .8

5

12 22

2

2

3

3

4

3

42

3

2

3

3

4

4

3

2

3

3

1

4

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1 2

3 4

29-32. Masyu-RundwegDraw a loop into the diagram following the gridlines, which does not touch or cross itself. A digit ina cell indicate the amount of its edges used by the loop.The circles in the diagram follow the Masyu-rules: The path must turn at every black circle, butcannot turn immediately before or after. And the path can not turn at any white circle, but must turnimmediately before and/or after.

Answer format: Write the sizes of areas outside the loop larger than 1, in increasing order. Theanswer for the example would be: 2467

3 3 1

1 2

1

1

3 3 1

1 2

1

1

2 23

2

2 2 2

3 1

2 11

3 1

1

3

3 3

2 3

2 1

3

1 0

1

3 2

2

3 1

1 2 1

1 1

2

2

3

23 1 2

1.1 2.0

3.0 4.1

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33-36. SumboxFiil in the grid with digits 1-4/1-5 (1-4 for the example) and blacken some cells so that there areexactly two digits and two blackened cells in every outlined 2x2 area. No digit can be repeated withina row/column/2x2 area. Numbers outside the grid indicate the total of numbers that can be read inthe corresponding direction. Numbers are read either from left to right or from top to bottom.

Answer format: Write the content of the marked row/column. Use 0 for blackened cells. The answerfor the example would be: 003041

6 8 8 6 9 33

6

6

9

8

15

6 8 8 6 9 33

2 1 3 6

1 3 2 6

3 4 2 9

4 1 3 8

3 4 1

1 3 2 15

2.8 3.1

4.4 7.4

415 4 27 17 3 217

19

28

343

6

235 5 7 9 17

6

19

3

64

7

4 46 44 45 9 35

127

7

8

36

19

4

438 36 45 1545 20 2139

9

321

9

4218

357

11

10

11

1-5

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1 2

3 4

Answer format:Write the content of the marked row/column. Use the corresponding letters for thepentominoes and 0 for the rest.The answer for the example would be: 0Y000N

37-40. PentorollGiven figures are built from 5 unit cubes (in view from the top they give standard pentomino set). Thefigures were placed into the grid without mirroring (rotation is allowed). Figures cannot touch eachother even at a corner. Then each figure was rolled over one edge. A top view after rolling is given.Find the initial figures locations.

V

N

Y

Z

T

XW

N

V

Y

L

I

UF

P

1.3 3 .7

5.2 5 .4

L, N, P, T, VF, I, V, W, X

F, N, P, V, X, Y, ZI, L, N, P, V, W, X, Y

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41. LooptimizerFill the grid with digits 1-9 so that no digit is repeated within a row/column. Each pair of consecutiveneighbours should have a line between them, forming a closed loop. All lines should be part of theloop.Some cells may be blackened if you cannot place any number following the rule above. Thiscells may have loop lines if necessary.Maximize the amount of corners in the loop, using minimum amount of blackened cells.

Answer format:Write the content of every row, from left to right, top to bottom. Use 0 for theblackened cells. The answer for the example would be: 85210,06783,60854,73568,32179

Scoring:(amount of corners / 3) - (amount of blackened cells x 0.7)

Scoring for the example:(24 / 3) - (3 x 0.7) = 5.9 points

8

8 5 2 1

6 7 8 3

6 8 5 4

7 3 5 6 8

3 2 1 7 9

2 5

1

8 3

Some puzzle ideas are obtained as follows:Diagramless Kakuro from Thomas SnyderKnapp DanebenTapa from Florian Kirch (Rtsel Portal LM Deutschland).Abacus Snake from ZeKa 2007 (Croatia)Masyu-Rundweg from Nils Miehe (Rtsel Portal LM Deutschland).Pentoroll from Riad Khanmagomedov