Slovak Puzzle Championship 2016 INSTRUCTIONS Time bonus: 5 points per saved minute

Round 1 – 60 minutes – 19 puzzles – 380 points 1) Battleships – 13 points Locate the position of the given ships. Numbers outside the grid indicate the number of cells occupied by ships in each row/column. Ships can be rotated but they cannot touch each other, not even diagonally. Cells marked with ~ cannot be part of any ship. 2) Neighbours – 42 points Fill in the whole grid with numbers 1 to 3 so that each row and each column contains each of the numbers exactly three times. Numbers in shaded cells must be different from all the numbers in the orthogonally adjacent cells. Numbers in white cells must be orthogonally adjacent to at least one cell containing the same number. 3) Trimino Loop – 19 points Draw a single continuous loop into the grid. The loop must pass only horizontally or vertically through the center of cells and must never cross or touch itself. The loop must pass through all the shaded triminos (not necessarily all their cells). If two triminos are oriented identically then the loop must pass through them in a same way (see the example). 4) Triplets – 6 points Fill in the circles with numbers 1-7 (each of them exactly twice) so that the centre points of each triplet consisting of identical numbers were the endpoints and the centre of an imaginary line segment. 5) Spiral – 20 points Fill in some cells of the grid with numbers 1-15 (each of them exactly once) so that the numbers appear in an increasing order, reading from the top-left cell along the spiral into its centre. Cells containing numbers must not touch each other, not even diagonally. Numbers outside the grid indicate the sum of the numbers in the corresponding row/column. 6) Spokes – 18 points Connect some of the neighboring circles with horizontal, vertical or diagonal lines so that no two lines cross each other. Number inside a circle indicates how many other circles the circle is directly connected with. All the cells must be interconnected (see the example). 7-8) Clews – 4 + 32 points Draw a single continuous loop into the grid. The loop passes horizontally, vertically or diagonally through the centers of all the cells in the grid and it can cross itself. Marks in some of the cells indicate the angle of the turn of the loop in the corresponding cell (45°, 90°, 135° or 180°). 9) 2D Mastermind – 6 points Fill in the third grid with numbers 1-9 so that each cell contains exactly one number and each number is used exactly once. The first and second grid serve as clues – for each of the grids, there are black and white dots given outside the grid. A black dot indicates that there is a

number in the same row/column at the same position as in the third grid. A white dot indicates that there is a number in the same row/column but at a different position in the third grid. All possible black and white dots have been given. 10) Sudoku 2D Mastermind – 24 points Fill in the grid with numbers 1-9 so that no number is repeated within a row, a column or an outlined 3x3 box. Moreover, for square 3x3 boxes are the clues for the shaded box in the middle which is a 2D Mastermind following the same rules as in 9). 11) Tren – 15 points Place some rectangles of size 1x2, 1x3, 2x1 or 3x1 cells into the grid. The rectangles cannot overlap each other must be placed completely inside the grid. Each of the rectangles must contain one of the given numbers which indicates the number of cells the rectangle can be moved by along its longer edge (see the example). The rectangle can be moved as long as it does not collide with another rectangle or the border of the grid. 12) Capsules – 21 points Fill in the grid with numbers 1-5 so that each of the outlined regions contains each of the numbers 1-5 exactly once. Cells containing the same numbers cannot touch each other, not even diagonally. 13) Magic Square – 14 points Fill in the whole grid with numbers 1-6 so that no number is repeated within a row or a column. If there is number X outside the grid and Y is written in the first cell from the corresponding direction then number X must be located in the Yth cell from this direction (see the example). 14) Cave – 13 points Shade some cells of the grid to create a single continuous cave. The cave never touches itself – all the unshaded cells are orthogonally connected with the grid borders. All the given cells must be part of the cave. A number in the cell indicates how many cells of the cave can be seen horizontally or vertically from the corresponding cell, including itself (see the example). 15) Ken Ken – 40 points Fill in the whole grid with numbers 1-7 so that no number is repeated within a row or a column. The grid is subdivided into smaller region containing a number and an operator in its top-left corner. The number indicates the result of the mathematical operation of applying the operator on all of the numbers in the corresponding region in the decreasing order (e.g. region containing number 1, 6, 3 could be marked 2/ or 10+). 16) Product Cave – 19 points Shade some cells of the grid to create a single continuous cave. The cave never touches itself – all the unshaded cells are orthogonally connected with the grid borders. All the given cells must be part of the cave. A number in the cell indicates the product of numbers H and V where H is the number of cells of the cave visible from the cell (including the cell itself) in the horizontal direction and V is the number of cells of the cave visible from the cell (including the cell itself) in the vertical direction. 17) Three Cells – 14 points

Shade some cells of the grid so that there are exactly three shaded cells in each of the rows and columns. No two shaded cells can share an edge but they can share corners. Numbers outside the grid indicate the maximum number of consecutive white cells between two shaded cells. 18) Starbattle – 32 points Place stars into some of the cells of the grid so that no two cells containing stars touch each other, not even diagonally. Each of the outlined region should contain exactly two stars. 19) Domino Castle – 28 points Place all of the domino tiles inside the grid. If two distinct tiles touch each other orthogonally, the neighboring cells must contain the same numbers. If there is a set of numbers outside the grid then the corresponding row/column must contain each of these numbers at least once and cannot contain other numbers. Some numbers have already been given.

Round 2 – 45 minutes – 15 puzzles – 250 points 1) Simple Loop – 5 points Draw a single continuous loop into the grid. The loop must pass only horizontally or vertically through the centers of all white cells and must never cross or touch itself. 2) Ariadne’s Thread – 6 points Connect all numbers in increasing order, using all the cells of the grid. The line can only pass horizontally or vertically through the centres of cells and can never cross itself. 3) Fence – 19 points Draw a single continuous loop (fence) along the marked edges of the grid cells. The fence can never touch or intersect itself. Numbers in the cells indicate how many edges of the cell are a part of the fence. 4) Akari – 8 points Place light bulbs into some white cells in the grid so that every white cell in the grid is lit by or contains a lightbulb. A lightbulb lights in four orthogonal directions until there is a black cell. There cannot be two (or more) light bulbs in a same row or column unless there is a black cell between them. A number in a black cell indicates the number of light bulbs sharing an edge with that cell. 5) Minesweeper – 12 points Place some mines into the grid so that each number in the grid represents the number of mines in the diagonally or orthogonally neighbouring cells. Cells with numbers cannot contain mines and each cell can contain at most one mine. 6) LITS – 18 points Shade exactly 4 cells in each of the outlined regions so that the cells are orthogonally interconnected and form one of the tetrominos L, I, T, S (see the example). All the shaded cells in the grid must be orthogonally interconnected and there can be no shaded square of 2x2 cells in the grid. No two tetrominos of the same shape can share an edge. Rotated and mirrored tetrominos are considered the same shape. 7) Dominos – 22 points Locate the position of the given set of dominoes. Each cell in the grid belongs to exactly one domino. 8) Division – 14 points Divide the whole grid along the marked lines into pentominos so that no two pentominos overlap each other and each pentomino contains each of the letters M, S, R, L, U exactly once. 9) Hitori – 26 points Shade some cells of the grod so that no row and no column contains more than one white cell with the same number. Cells that are horizontally or vertically adjacent are not allowed to both be shaded and all remaining white cells have to be orthogonally interconnected. 10) Fillomino – 14 points

Write a number into every cell. Equal numbers that are neighbours either horizontally or vertically automatically belong to the same group. Every group needs to consist of exactly as many cells as this number indicates (you can not have two groups with the same number sharing a border). 11) Araf – 20 points Divide the whole grid along the marked lines into regions. Each region must contain exactly two numbers and the number of the cells of the region must be a number between these two numbers (e.g. a region containing numbers 1 and 4 must consist of either 2, or 3 cells). 12) Shikaku – 18 points Divide the grid into rectangles so that each rectangle contains exactly one of the given numbers which corresponds to the number of square units it contains. 13) Rooms – 28 points Each cell of the grid represents a room. Draw some walls into the grid (e.i. mark some of the edges of the cells with a bold line) so that number in each room indicates the number of other rooms visible from the room (excluding itself) in the vertical or horizontal direction. The view is blocked by walls. All the rooms must be orthogonally interconnected. 14) Kakuro – 24 points Fill in the white cells with numbers 1-9. A number in the top-right corner of a grey cell indicates the sum of the digits in the white cells immediately to its right. A number in the bottom-left corner indicates the sum of the digits in the white cells directly below it. No digit can be repeated within any consecutive horizontal or vertical group of white cells. 15) Galaxies – 16 points Divide the whole grid into several galaxies, so that each galaxy contains exactly one circle and is symmetric over the given circle. Each cell belongs to exactly one galaxy.

Round 3 – 25 minutes – 8 puzzles – 120 points 1) Nurikabe – 19 points Shade some cells of the grid to create islands from the empty cells. Each island contains eactly one of the given numbers which indicates its size in number of cells it consists of. No two islands can share an edge. The shaded area represents water which must be orthogonally interconnected and must never cover an area of 2x2 cells (nor larger). 2) Corral – 16 points Shade some cells of the grid to create a continuous wall called corral. Corral does not touch each other and does not contain a shaded area of 2x2 cells. Numbers outside the grid indicate the lengths of all shaded blocks in the corresponding direction, not necessarily in the given order. If there is more than one block, each two shaded blocks must be separated by at least one empty cell. 3) Ying-Yang – 7 points Fill in the whole grid with black and white circles so that all the circles of the same color are orthogonally interconnected. There cannot be an area of 2x2 cells containing circles of the same color. 4) Tapa – 8 points Shade some cells of the grid to create a continuous shaded wall. The wall cannot contain an area of 2x2 shaded cells. Numbers in the cells indicate the lengths of all shaded blocks surrounding the cell. If there is more than one number, each two shaded blocks must be separated by at least one empty cell. Cells with numbers cannot be shaded. 5-8) Nurikabe (top-left) & Corral (top-right) & Ying-Yang (bottom-left) & Tapa (bottom-right) Solve each of the puzzles according to rules in 1-4). Moreover, every two cells marked with = must be of the same color – either both shaded, or both empty. 1 puzzle

30 points

2 puzzles

42 points

3 puzzles

55 points

4 puzzles

70 points