2012 Croatian Qualification Puzzles

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DavidC
Posts: 194
Joined: Wed 03 Nov, 2010 9:34 pm

2012 Croatian Qualification Puzzles

Thanks Alan. For info, with part 2 I had a character set printing problem on page 2 (the first page of puzzles) but reprinting it as a single page was OK. For part 3, I understand the sum, diagonal sum, digits anagram and skyscraper aspects, but I'm struggling with how the letters work (even using Google Translate). Please would someone explain what the letters are about - thanks.

Nilz
Posts: 256
Joined: Fri 02 Sep, 2011 5:21 pm

Re: 2012 Croatian Qualification Puzzles

David, you may have found this out already, but the first couple of puzzles, at least, have unique solutions without needing to know what the lettered squares (or circled squares) mean, so I presume they're something like check digits. I'd guess you could ask what digits go into the lettered squares, and you'd then lose the given number of points as 'punishment'. I could be completely wrong, but it doesn't matter, because as I said you don't need to know in order to solve them.

DavidC
Posts: 194
Joined: Wed 03 Nov, 2010 9:34 pm

Re: 2012 Croatian Qualification Puzzles

Great, thanks

kiwijam
Posts: 686
Joined: Wed 01 Jun, 2011 10:03 am

Re: 2012 Croatian Qualification Puzzles

My understanding of the translation is slightly different. The 12 lettered squares are basically the answer keys, each letter is worth between 7 and 10 points. First finished gets a 20 point bonus, so there's a total of 120 points possible.
And the three circled squares are identical in each of the four puzzles, so once you've finished one puzzle the others should be a little faster. But they can all be solved individually.

kiwijam
Posts: 686
Joined: Wed 01 Jun, 2011 10:03 am

Re: 2012 Croatian Qualification Puzzles

I've spent some time translating the rules for the nine rounds (6 puzzle, 3 sudoku) provided at http://wscwpc2012.org.
I've asked for permission from the organisers to publish it here, but didn't hear back from them, so am happy to remove it if they request later.

Overall I thought this was a great collection of puzzles, and encourage others to have a look (don't be discouraged by the language difference).
My favourite was round 4, where the puzzles are linked within each page, as well as all linked to a final puzzle. Enjoy!

Learn Croatian #1:

Primjer = Example
Bodova (/Boda/Bod) = Points

**********************************
WPC CROATIAN QUALIFICATION PUZZLES
**********************************

PART ONE - CLASSIC SET

1. CAPITALS
Place the given city names in the grid so that each word is connected with all the others, either directly or indirectly (see example). No other words of two or more letters should be included. In the grid all of the 'A' letters, and a few other letters, have already been entered.

2. ALONG THE LINES (FOUR WINDS)
From each clue draw one or more lines (horizontal or vertical) that pass through as many squares as that clue-number. The clue square itself is not included in the total. The lines cannot touch or intersect each other. Every grid-square must be used.

3. SHAPE DIVISION
Cut along the grid-lines to divide each shape into 4 parts with equal shape and size.

Draw clouds into the grid, they are rectangle (or square) shapes and at least 2x2 in size. The clouds cannot touch, not even diagonally. The numbers outside the grid show how many cells of that row (column) are part of a cloud.

5. NUMBER CROSSWORD (KAKURO)
Fill each empty square with a number from 1 to 9. The sum of the numbers in each horizontal and vertical sequence is equal to the given clue-number, and each sequence must contain all different numbers.

6. DOMINO
All of the given dominoes are symbolized by pairs of numbers in the grid, that do not overlap. Determine their exact positions.

7. FROM 1 TO 7
Place the numbers 1 to 7 once in each row, column, and in both diagonals.

8. CAMPING DESCRIPTION
In this campground, each camper is given a tent and a tree orthogonally (not diagonally) adjacent to each other. No tent is adjacent to any other tent, not even diagonally. The clues outside the grid show the order of all the trees and tents in that column (row). Determine the exact position of all trees and tents.

9. MAGIC SQUARES
Place all the names of actors given into the 5x5 magic squares. Each name is found in exactly one of the 5x5 grids, and will be written both horizontally and vertically there.

10th ARROW SEQUENCE
There is a route starting at the number 1, and moving through all of the fields in the grid, to finish at the number 36. Mark a number in each field so that the arrow in field X always points toward field X+1.
[Field number 1 will also need an arrow pointing either right or down.]

11. H20
The grid contains 15 water molecules (H2O) composed of two atoms hydrogen (H) and one atom of oxygen (O). In each molecule the O will be orthogonally (not diagonally) adjacent to the two Hs. No two oxygens can be adjacent, even diagonally. All Hs are given, determine the positions of the Os.

12th ZIGZAG
Connect the opposite corners of the grid with a continuous zig-zag line.
- The line segments connect the central points of adjacent fields (diagonal allowed).
- The line passes through fields in the repeating sequence of numbers 1, 2, 3, 4, 1, 2, 3, 4, ...
- The zig-zag line must pass through all fields of the grid once each.

13. ARROWS
Place arrows into the fields around the outside of the numbered grid. Each arrow points orthogonally or diagonally into the grid. The number of arrows that point to each grid field is already written in that field.

14th NOUGHTS AND CROSSES
In this game of noughts and crosses the players alternately write their symbol into an empty grid cell (one writes noughts, and the other writes crosses). The winner is the first to write their symbol four times in a row (orthogonally or diagonally). In this puzzle, neither of the players won. Identify the locations of the remaining noughts and crosses in the grid.

15th "A" OR BLACK 25 points
All the given words must be entered as a crossword into the grid. All the letters "A" are given, and all of the black squares have been replaced by the letter "A" also.

PART TWO

SPACED BALLS (GAPPY BLOCKS)
Each row and each column contains exactly two balls. Balls cannot touch each other, not even diagonally. The clue numbers give how many empty fields are between the two balls in that row or column. Determine the position of all the balls.

PART THREE

Optimizer: STARS AND BRICKS

Draw some (1x1) stars and (1x2) bricks into the grid, so that no two drawn objects are adjacent, not even touching diagonally. Bricks must be drawn within one region, they cannot cross the darker gridlines.
Each drawn star gives you 1 point and each brick gives 2 points.
Each region which contains at least one star and one brick gives an additional 1 point.
Each row which contains a horizontal brick and a star gives 1 extra point.
Each column which contains a vertical brick and a star gives 1 extra point.
For each empty region deduct 2 points.

1. Easy As ABCD
Each row (and column) contains the letters A, B, C and D and two empty fields. Clue letters give the first visible letter in the associated row (or column). Empty fields can be anywhere in the row (or column), even at the start.
Note: There is a letter that appears (exactly once) in the same position in both grids. This will be letter Y in Puzzle 9.

2. ABC Spiral
Each row (and column) contains the letters A, B and C and two [/three/four] empty fields. Travelling inwards on the spiral will pass letters in the sequence A, B, C, A, B, C, etc. Note: There is only letter that appears in the specially marked fields: the diamond of grid A, the diagonal of grid B. The grid A letter will be X in Puzzle 9, the grid B letter will be W in Puzzle 9.
[PS When I printed this puzzle from Google Chrome the main diagonal for grid B was not visible]

3. Elastic
Each circle is connected with some of the other using elastic bands (Figure A). After changing the locations of the circles, the elastic bands still connect the same pairs of circles as before (Figure B). Determine the layout of the circle labels after the change of position.
Note: The letter Z in Puzzle 9 is the only letter that appears in the same position in both solutions.

4. Trimino
Each trimino plate consists of three numbers (1, 2 and 3) in any order. Each row (and column) contains an equal number of 1s, 2s and 3s. The same number can never appear in neighbouring fields (horizontal or vertical). Determine the number in each field.
Note: The number Q (S) in Puzzle 9 is the number which occurs in the shaded field of grid A (grid B).

5. Mathematical squares
Place the numbers 1-9 into the empty fields so that all equations are satisfied.
Note: There is only one number which occurs in both solutions at the same position. This will be number P in Puzzle 9.

6. Sums
Enter the numbers 1-10 into each row so that each column has four different numbers that sum to the total given below.
Note: The number R in Puzzle 9 is the number which occurs in the shaded field.

7. Square Battleships
Place a complete fleet of battleships into each of the four grids. The ships are positioned horizontally or vertically, and do not touch each other, not even diagonally. The clue numbers give how many cells contain ships in the associated row or column. [Some empty cells are already marked in the grids.]
Note: Only 2 of the 49 fields should contain a part of a ship in all four grids. These fields will be marked as black boxes in Puzzle 9.

8. Pentomino
Place three pentominoes in each of the four 7x7 grids, so each pentomino is used exactly once. Pentominoes can be rotated but not reflected, and do not touch each other, not even diagonally. The clue numbers give how many cells contain pentominoes in the associated row or column.
Note: Only 2 of the 49 fields should contain a part of a pentomino in all four grids. These fields will be marked as black boxes in Puzzle 9.

9. Easy As ABCD, with Black Boxes
Each row (and column) contains the letters A, B, C and D, two empty fields and one black box. An empty (or black) field can be anywhere in the row (column), even at the start.
The clue letters [outside the bottom and right edges of the grid] give the first letter appearing in that direction in the associated row (or column). The clue numbers [outside the top and left edges of the grid] give the number of fields in between the two empty fields of that row (or column).

PART FIVE - SKYSCRAPERS

1. Classic Skyscrapers
The cells of the grid each depict a skyscraper building. Each row or column contains skyscrapers with five different numbers of floors (from 1 to 6). Clue numbers outside the grid give how many skyscrapers are visible along that row (or column).

2. Floor Sum Skyscrapers
The cells of the grid each depict a skyscraper building. Each row or column contains skyscrapers with five different numbers of floors (from 1 to 5). Clue numbers outside the grid give the sum of the heights of skyscrapers visible along that row (or column).

3. Skyscrapers with Blank Cells
The cells of the grid each depict a skyscraper building. Each row or column contains skyscrapers with four different numbers of floors (from 1 to 4), and one blank cell which contains no skyscraper. Clue numbers outside the grid give how many skyscrapers are visible along that row (or column).

4. Domino Skyscrapers
The cells of the grid each depict a skyscraper building. Each row or column contains skyscrapers with six different numbers of floors (from 1 to 6). Clue numbers outside the grid give how many skyscrapers are visible along that row (or column).
There are six regions consisting of one field, all these six skyscrapers will have different heights. And there are fifteen regions consisting of two fields, each of these must contain a different one of the given dominoes.

5. Triangle Skyscrapers
The cells of the grid each depict a skyscraper building. Each diagonal [along three possible directions] contains skyscrapers with five different number of floors (from 1 to 5), and the longer diagonals will also contain two blank cells. Clue numbers outside the grid give how many skyscrapers are visible along that diagonal.

6. Hexagon Skyscrapers
The cells of the grid each depict a skyscraper building. Each diagonal [along three possible directions] contains skyscrapers with four different number of floors (from 1 to 4), and the longer diagonals will also contain up to three blank cells. Clue numbers outside the grid give how many skyscrapers are visible along that diagonal.

PART SIX - PUZZLE GROUPS

This set consists of 3 groups of 4 puzzles each. Contestants will start with the first group of 4 puzzles. You can choose when to submit your answers for that group, regardless of whether all the puzzles have been solved correctly. Then you will receive the next group of 4 puzzles. When you submit the second group you will receive the final group of 4 puzzles. Once a puzzle is submitted you can not got back to it later. If all 4 puzzles in a group are correctly solved then you receive a bonus of 20 points. The total number of points for the 4 puzzles in each group is 80.

Group 1:

1. SERPENT
A sea snake (with length "45 metres") shows his head (number 1) and tail (number 45) and otherwise lies hidden beneath the water surface. Numbers outside the grid (representing the sea) tell us how many fields in the corresponding row (or column) contain the snake's body. The snake never touches itself [not even diagonally]. Number 23 in the grid gives the location of the middle of the snake's body. Your task is to reconstruct the position of the sea snake's body beneath the water surface.

2. BATTLESHIPS
Enter the given ships into the grid. The clue numbers around the grid show how many fields contain ships in that row or column. None of the ships can touch each other, not even diagonally.

3. THERMOMETERS
Determine how much mercury is in each thermometer [it starts from the circular ends]. The clue numbers show how many squares contain mercury in their associated direction.

4. NUMBERS
Enter some numbers from 1 to 9 into the grid. Clue numbers to the right and below the grid give how many numbers are in the associated row (or column). Clue numbers to the left and above the grid give the sum of the numbers in the associated row (or column). Numbers in the same row (or column) must all be different. Numbered fields do not touch each other, not even diagonally.

Group 2:

1. TENTS
Place one tent next to every tree (orthogonally, not diagonally). None of the tents can touch another tent, not even diagonally. Clue numbers outside the campsite show how many tents are located in the corresponding row or column.

2. HALF-DOMINOES
Place the nine half-dominoes into the nine 3x3 regions of the grid. Clue numbers outside the grid show how many dots are in the associated direction. It is not allowed to rotate or reflect the given half-dominoes.

3. FENCES
Draw a single closed loop connecting adjacent dots in the grid. Each number in the grid gives how many of its 4 edges are part of the loop.

The cells of the grid each depict a skyscraper building. Each row or column contains skyscrapers with different numbers of floors (from 1 to 7). In the grid there is also one meadow which has no skyscraper. Clue numbers outside the grid give how many skyscrapers are visible along that row (or column).

Group 3:

1. JOINT LETTERS (ARUKONE)
Connect the pairs of letters with an unbroken line that passes horizontally or vertically through the centers of adjacent squares. The lines cannot overlap or intersect anywhere. All fields in the grid must be used.

2. ALONG THE LINES (FOUR WINDS)
From each clue draw one or more lines (horizontal or vertical) that pass through as many squares as that clue-number. The clue square itself is not included in the total. The lines cannot touch or intersect each other. Every grid-square must be used.

3. LABYRINTH
Each row (and column) contains the numbers 1, 2, 3, and 4, and three empty fields. Travelling into the maze and along the path will pass the numbers in the sequence 1, 2, 3, 4, 1, 2, 3, 4, etc.

4. ARROWS
Place arrows into the fields around the outside of the numbered grid. Each arrow points orthogonally or diagonally into the grid. The number of arrows that point to each grid field is already written in that field.

**********************************
WSC CROATIAN QUALIFICATION SUDOKUS
**********************************

PART ONE - MINI SUDOKU KILLERS

Enter the digits 1-6 once in every row, every column, and every 2x3 rectangular field. The clue numbers give the sum of the digits that are inside the caged areas.

PART TWO - SUDOKU SET

Enter the digits 1-9 once in every row, every column, every 3x3 square (or irregular region of size 9 for puzzles 9-12), and both diagonals (when relevant: they are marked in puzzles 3,4,7, and 8).

PART THREE - NUMBER THREE

In this round there are four Sudokus to solve, each has four different types of clues around the four edges.
[Enter the digits 1-9 once in every row, every column, each diagonal, and every 3x3 square.]
- Numbers below the grid show the digits in the lowest three fields of the associated column (not necessarily in the given order).
- Numbers on the left give the sum of the first three digits in the associated row.
- Numbers along the top give the sum of all digits along the indicated diagonal.
- Numbers to the right are "skyscraper" clues, showing how many digits would be visible from that point.
Across all four Sudokus, the three fields marked with circles have the same digits in the same position.
In each of these four Sudokus it is not necessary to solve the complete puzzle. There will be three fields marked with a letter (ABC,DEF,KLM,XYZ), and each letter has an associated point value given in the table below.