Puzzle Tournament 2

Puzzle Prime’s second puzzle tournament was organized on June 27, 2020. Congrats to Elyot G. who solved all the puzzles! You can see the problems and the rankings below.

Elyot G.

You have 60 minutes to solve 6 puzzles, each worth 1 point. Upload your solutions as a pdf, document, or image, using the form below. Good luck!

Time for work: 1 hour

Puzzle Prime Knight

Start from a square with a P on the chessboard, and keep jumping via knight’s move, consequently landing on squares with the letters U-Z-Z-L-E-P-R-I-M-E.

Point of View

8 of these diagrams correspond to views of the object in the corner when it is looked from different perspectives. Which 2 aren’t?

Note: The projections below are parallel (not perspective).

Chess Fight

Choose a chess piece on the board. Then, move the piece to a cell with another piece, and remove the first piece. Repeat, by moving the second piece to a cell with a new piece, and removing it. Continue until there is only one piece remaining on the board.

Note: For example, we can move the Queen on d2 to the Bishop on b2, the Knight on c3, or the Bishop on d4. If we move the Queen to d4 and remove it from the board, then we must move the Bishop on d4. The only available cell is c3, where a Knight is positioned. We must remove the bishop and move the Knight on c3 either to the Rook on b1 or the Rook on a2…

Special Date

On April 5, 2013 (5.4.2013), the digits used for expressing the date were all different and consecutive. When was the last date before it with this property?

Remark: The digits 9 and 0 are not consecutive.

Splitting the Area

You have 1 square with side length 1 and 2 circles with diameter length 1. Draw a single line so that the resulting areas on the left and on the right of the line are equal.

Notes: You need to specify how you find a line satisfying the condition above.

Chess Connect

The starting and ending positions of 7 chess pieces are shown on the board. Find the trajectories of the pieces, if you know that they do not overlap and completely cover the board.

Notes: The pieces can not backtrack. Two trajectories can intersect diagonally but can not pass through the same square. Only the Knight has a discontinuous trajectory.


Solutions

The answer to Point of View is C and J.
The answer to Special Date is 23.4.1765.
The solutions of the other puzzles are shown below.

Results

PuzzlerP1P2P3P4P5P6Total
Elyot G.1111116
David R.1010114
Rodrigo R.10.510013.5
N1010103
Hristo H.0010102
Rockmosis1010002

Prizes

#1.
$10 Gift Card (iTunes or Play Store)
Puzzle Avatar (custom made)
Puzzle Pelago (mobile game by Hallgrim Games)
Hook (mobile game by Rainbow Train)

#2.
$5 Gift Card (iTunes or Play Store)
Puzzle Avatar (custom made)
Puzzle Pelago (mobile game by Hallgrim Games)
Hook (mobile game by Rainbow Train)

#3.
Puzzle Avatar (custom made)
Puzzle Pelago (mobile game by Hallgrim Games)
Hook (mobile game by Rainbow Train)

#4-5.
Puzzle Pelago (mobile game by Hallgrim Games)
Hook (mobile game by Rainbow Train)

Puzzle Tournament 1

Our first puzzle contest is officially over. Congratulations to the winner Kuan L.!
Also, special thanks to Rajesh KumarJohann SturczDave PhillipsP. A. Heuser, as well as ThinkFun and Dover Books for contributing puzzles.


Time for work – 1 hour


1. Connections

Examine the diagram and find which pairs of letters are connected with each other.

Author – P. A. Hauser, published in “3D Space Mazes” by Dover

2. King Kong’s Maze

Detective Roy Omoshi (upper right) is chasing a dangerous criminal (lower left) through a destroyed maze. King Kong is trying to help Roy by putting together all the pieces of the maze so that the detective can safely traverse it. Analyze the picture and find the sequence of pieces Roy Omoshi will pass through before he catches the criminal. Some pieces (#1, #7, #8) consist of multiple horizontal segments, so it is possible that the detective visits them multiple times.

Author – Johann Sturcz, website – Johann Sturcz

3. Color Path

Enter by the bottom red path and exit from the top of the maze. You may retrace your path, but you may not make a U-turn on a pathway. You must follow the paths in the order red, blue, yellow, and then red, blue, yellow again, changing color at the white squares.

Author – Dave Phillips, website – Dave Phillips Maze Art

4. Amy’s Cats

Aunt Amy’s six cats have sat around the carpet, next to the thread, the pot, the cage, the coffee, the shoes, and the aquarium. You know that:

  1. The two cats with bows sit next to each other.
  2. The cats next to the bird cage and the coffee do not have blue eyes.
  3. The two striped cats sit next to each other.
  4. The weights of the cats next to the aquarium and the shoes do not differ by more than 3lbs.
  5. There is a cat with a bell between two cats without long hair.
  6. Pip Squeak sits next to Tom or Sassy (or both).

Find the names of the cats clock-wise around the carpet, starting from the left.

Author – Puzzle Prime, based on the game Cat Crimes by ThinkFun

5. Chess Connect

The starting and ending positions of 7 chess pieces are shown on the board. Find the trajectories of the pieces, if you know that they do not overlap and completely cover the board.
Notes: The pieces can not backtrack. Two trajectories can intersect diagonally but can not pass through the same square. Only the Knight’s has a discontinuous trajectory.

Author – Puzzle Prime

6. Sheep and Wolves

A shepherd takes his two sheep every day to a 7×7 lawn, so that they can eat the fresh grass there. However, there are five wolves on the lawn which are preying on the poor sheep. The shepherd decided to build a closed, non-intersecting fence around the sheep, so that all wolves end up on the outside. He planned the shape of the fence carefully and installed several signs showing the number of fence pieces around the corresponding cells. Can you figure out the shape of the fence the shepherd is going to build?

Author – Rajesh Kumar, website – Fun With Puzzles

Solutions