XVI POLISH PUZZLE CHAMPIONSHIP

XVI POLISH PUZZLE
CHAMPIONSHIP
3TH MARCH 2012
QUALIFICATION ROUND
Important:
1. The answer sheet can be sent only once!
2. Factors determining ranking are: firstly sum of points, then time of submission.
3. Submission deadline is 15:00, Sunday 3rd March 2012.
4. You can submit your answers until 15:05, but you will be penalized 10 points for each minute of
delay.
Answer sheet:
http://www.sfinks.org.pl/mp2012.php?action=formularzA
Registration form: http://www.sfinks.org.pl/mp2012.php?action=rejestracja
PUZZLES:
1) TOP HEAVY
2) BATTLESHIPS
3) PAINT BY NUMBERS - PENTAMINO
4) MAGIC SUMMER
5) MAGIC SUMMER II
6) PARQUET
7) PARQUET II
8) HUNDRED
9) NURIKABE
10) EQUATIONS
11) COINS
12) IRREGULAR SUDOKU
13) TAPA
Sum: 2012 pts.
175 pts.
108 pts.
227 pts.
236 pts.
288 pts.
152 pts.
259 pts.
58 pts.
47 pts.
104 pts.
81 pts.
90 pts.
187pts.
Good luck  - Organizing team
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
1. Top heavy – 175 points
Fill the grid with digits 1-5 so that each digits appears exactly once in every row and
column. Where the digits adjoin vertically, the upper digit must be bigger.
Answer key: Enter 14 digits: firstly from 2nd row (left to right) and then from 6th row
(left to right). Do not separate the digits by any spaces, commas or any other signs.
Put 0 in place of blank spaces.
4
2
3
4
3
5
5
1
4
5
1
5
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
2. Battleships – 108 points
Locate the 10-ship fleet (with one 4-unit battleship, two 3-unit cruisers, three 2-unit
destroyers, and four 1-unit battleships) in the diagram. The ships may not touch each
other, not even diagonally. The numbers outside the grid indicate the number of ship
segments in the corresponding row or column.
That puzzle may have more than one solution.
Answer key: Enter the numbers of the solutions of that puzzle.
5
6
4
4
2
1
4
5
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
3. Paint by nubmers – pentamino – 227 points
Color the cells in a grid or left blank according to numbers given at the side of the grid
to reveal a hidden picture. In this puzzle type, the numbers given outside measure how
many unbroken lines of filled-in squares there are in any given row or column. For
example, a clue of "4 8 3" would mean there are sets of four, eight, and three filled
squares, in that order, with at least one blank square between successive groups. The
picture is made from 12 pentamino pieces, don’t touching itself even diagonally.
Pentamino pieces can be rotated and/or mirrored.
Answer key: Enter 15 digits (0 or 1), corresponding to 3th row. For each blackened
cell- write 1, for each not-blackened cell- write 0. Enter the digits from left to the right,
do not separate them by any spaces, commas or any other signs.
1
2 2 3 1 2 1 2 2
1 1 3
1 3 1 1 1 3 1 1 2 3 1 4
1 1 1 1 2 1 1 3 1 1 3 1
1
3
1 1
1
2 2
2 2
1
3
1
1
2
1
2 5
2 1
1 1
4 3
3
1
1
1
1
1
2
1
1
2
1
2
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
4. Magic summer – 236 points
Fill the diagram with digits from 1 to 5. Every digit has to appear exactly once in each
row and each column. Numbers outside the grid represent the sum of all numbers in
the corresponding row/column (read from top to bottom or left to right). These
numbers have to be separated by at least one blank cell.
Answer key: Enter 14 digits: firstly from diagonal (top-left to bottom-right) and then
from the second diagonal (top-right to bottom-right). Do not separate the digits by any
spaces, commas or any other signs. Write 0 in place of blank cells.
357
177
258
546
456
132
25314
78
4533
87
177
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
5. Magic summer II – 288 points
Fill the diagram with digits from 1 to 6. Every digit has to appear exactly once in each
row and each column. Numbers outside the grid represent the sum of all the numbers
in corresponding row/column (read from top to bottom or left to right). These numbers
have to be seperated by at least one blank cell.
Answer key: Enter 18 digits: firstly from diagonal (top-left to bottom-right) and then
from the second diagonal (top-right to bottom-right). Do not separate the digits by any
spaces, commas or any other signs. Write 0 in place of blank cells.
4530
1155
390
514236
3549
597
34527
606
1362
345
3558
894
6276
120
471
84
35643
219
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
6. Parquet – 152 points
Blacken some cells so that each outlined 2x2 square contains different combination of
black and white cells. Numbers on the left and above the diagram indicate how long is
the longest series of blackened cell in corresponding row/column, the numbers on the
right and below the diagram indicate the length of the longest series of white cells in
corresponding row/column.
Answer key: Enter 8 digits (0 or 1), corresponding to 3th row. For each blackened cellwrite 1, for each not-blackened cell- write 0. Enter the digits from left to right, do not
separate them by any spaces, commas or any other signs.
3
1
1
4
1
4
2
2
2
4
3
3
3
2
2
1
2
3
3
5
5
2
2
2
2
3
5
1
3
1
1
4
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
7. Parquet II – 259 points
Blacken some cells so that each outlined 2x2 square contains different combination of
black and white cells. Numbers on the left and above the diagram indicate how long is
the longest series of blackened cell in corresponding row/column, the numbers on the
right and below the diagram indicate the length of the longest series of white cells in
corresponding row/column.
Answer key: Enter 8 digits (0 or 1), corresponding to 1st row. For each blackened cellwrite 1, for each not-blackened cell- write 0. Enter the digits from left to right, do not
separate them by any spaces, commas or any other signs.
3
3
1
3
3
1
2
3
3
1
2
2
5
1
1
3
2
6
2
2
1
3
3
2
1
4
5
2
3
6
2
2
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
8. Hundred – 58 points
Complete the diagram so that the sum of numbers in each row and each column was
set at 100. All numbers in the boxes must contain a written already in the grid digits.
Answer key: Enter the sum of the lowest number and the biggest number.
2
1
8
6
9
7
6
6
5
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
9. Nurikabe – 47 points
Blacken some cells of the diagram. The black cells divide the diagram in areas of white
cells. All cells with a number belong to a white area; to a white area belongs exactly
one cell with a number. The number indicates how many cells belong to the white area.
White areas can touch each other only diagonally. The black cell may not cover an area
of 2x2 cells or larger. All black sells must form a continuous area.
Answer key: Enter 9 digits (0 or 1), corresponding to the diagonal (top-right to
bottom-right). For each blackened cell- write 1, for each not-blackened cell- write 0. Do
not separate the digits by any spaces, commas or any other signs.
20
12
16
16
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
10. Equations - 104 points
Enter each of the numbers 1 through 9 exactly once to the diagram so as to obtain six
equalities.
Answer key: Enter 6 digits - firstly from 1st row (left to right) and then from 3rd
row (left to right). Do not separate the digits by any spaces, commas or any other
signs.
+
*
+
-
*
/
+
+
+
*
=
16
= 12
= 20
+
=
12
= 20
=
12
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
11. Coins – 81 points
Put one of the coins with a value of 1, 2, 5, 10, 20, 50 in each square so that the
numbers on the right side and under of the diagram determined the total value of
the coins in a row / column.
Answer key: Enter 8 numbers – firstly from 1st row (left to right) and then from
2nd column (top to bottom). Do not separate the digits by any spaces, commas or
any other signs.
27
40
50
57
20 12 32 110
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
12. Irregular Sudoku – 90 points
Write numbers 1 to 6 into the cells of the so that each number occurs exactly once in
each row, each column and each region.
Answer key: Enter 12 digits firstly from the first diagonal (top-left to bottom-right)
and then from the second diagonal (top-right to bottom-right). Do not separate the
digits by any spaces, commas or any other signs.
1
2
3
4
5
13. Tapa – 187 points
Paint some squares black to create a continuous Wall. Number(s) in a square indicate
the length of black cell blocks on its neighboring cells. If there is more than one
number in a square, there must be at least one white cell between the black cell
blocks. Blackened cells cannot form a 2x2 square or larger. There are no wall
segments on cells containing numbers.
Answer key: Enter 10 digits (0 or 1), corresponding to the diagonal (top-right to
bottom-right). For each blackened cell- write 1, for each not-blackened cell- write 0.
Do not separate the digits by any spaces, commas or any other signs.
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej
SFINKS – Fundacja Rozwoju Matematyki Rekreacyjnej