Puzzle Prime’s third puzzle tournament was organized on January 31, 2021. Congrats to Elyot G. who is once again a winner! You can see the problems and the rankings below.
Elyot G.
You have 60 minutes to solve 5 puzzles, each worth 1 point. Upload your solutions as a pdf, document, or image, using the form below. Good luck!
Connect the stars with lines, so that the number inside each star corresponds to the number of lines connected to it, and the number in each barrier corresponds to the number of lines intersecting it.
Note: The stars in the corners cannot be connected, since the lines would pass through other stars.
PLAYING THE GAME: Draw lines to move Friends. A move is connecting a point on the Grid to another point on the Grid by drawing a straight line. The line can be made in any direction, as long as it connects exactly two points and doesn’t cross or touch another line.
TIMELINE: You move each Friend as many times as it says on the Timeline, starting with the topmost Friend and continuing in the order all the way down to the bottom one.
KEY POINTS, EXIT POINT, AND WALLS: One of the Friends must move to the Exit Point, but before he does that, each of the Key Points must be already connected with a line. A Wall is a double line and no Friend can cross or touch it.
Circles are particles and lines joining them are bonds. The objective is to find all the hidden values, following these four rules:
Particle values must be the sum of their bond values.
Particles can have the following values: 0, 1, 2, 4, 8, 12, 16.
Bonds can have the following values: 0, 1, 2, 4.
If two particles have the same value, the bond between them must have value 0.
SHOW EXAMPLE
PUZZLE
SOLUTION
4. Chess Connect
by Puzzle Prime
The starting and ending positions of 6 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.
In the three murder cases below, you can read the testimonies of all suspects. For each case, find who the killer is, knowing that no 2 people are in the same row or column, and that the killer was alone in a room with the victim.
With the huge success of real-life Escape Rooms all around the world, more and more puzzle manufacturers have been trying to recreate the experience with their solve-at-home kits. ThinkFun‘s latest offering, Escape the Room: The Cursed Dollhouse, is possibly the closest you can get to the real thing, so far.
The setup of “The Cursed Dollhouse” is quick and simple. Within a few minutes you get to build a cardboard model of a dollhouse, turn on the recommended soundtrack of creepy music, and light up a few candles to get into the right mood. Once you do this, you can start reading the story of the house and unravel its mysteries.
You begin the adventure in the living room, where you have to solve several puzzles, involving a broken bookshelf, a dusty carpet, and a spiderweb on the wall. Then, you make your way through the rest of the house: kitchen, bathroom, bedroom, until you get to the attic. Each of the rooms you visit contains multiple objects, including hidden ones, which you need to use in order to solve its three challenges. Once you solve a challenge, you get a cryptic symbol which you must enter in the “solution wheel”. Get the three symbols correctly and proceed to the next room.
As you progress, you will encounter various puzzles, including many mechanical ones. You will have to cut, fold, entangle, and do all kinds of fun activities. The puzzles are logical and satisfying to solve. There were one or two which my group found a bit confusing, but fortunately, ThinkFun has created a website, where players can get small hints without spoiling the entire puzzles. In the end, all participants were very happy with the time we spent playing together.
While the price of “The Cursed Dollhouse” is a bit steep, the game provides a lengthy and immersive experience which justifies the cost. It also can be replayed by another group of people using the provided printable forms from the official website.
1-4 players, 13 years and up
over 30 puzzles to solve within 2.5 hours
realistic small-scale Escape Room experience
puzzles are re-printable from the official website
Someone tells you: “I’ll bet you $1 that if you give me $3, I will give you $5 in return”. Is this a good bet?
SOLUTION
You should not accept the bet and give him $3. If the person gives you the $5, then you would have given him $1+$3=$4, and you would make a profit of $1. However, the person can simply not give you anything and you will lose $3-$1=$2.
At some point in Leonel Messi’s career, the football player had less than 80% success when performing penalty kicks. Later in his career, he had more than 80% success when performing penalty kicks. Show that there was a moment in Leonel Messi’s career when he had exactly 80% success when performing penalty kicks.
SOLUTION
Let us see that it is impossible for Messi to jump from under 80% success rate to over 80% success rate in just one attempt. Indeed, if Messi’s success rate was below 80% after N attempts, then he scored at most 4N/5 – 1/5 = (4N-1)/5 times. If his success rate was above 80% after N+1 attempts, then he scored at least 4(N+1)/5 + 1/5 = (4N-1)/5 + 6/5 times. However, Messi can not score more than one goal in a single attempt, which completes the proof.
While at her own mother’s funeral, a girl meets a guy she doesn’t know. She thinks the guy is amazing – her dream man – and is pretty sure he could be the love of her life. However, she never asks for his name or number and afterwards can not find anyone who knows who he is. A few days later, the girl kills her own sister.
Why did she do it?
SOLUTION
The girl assumed the man was a family friend, so she decided he would come also to the funeral of her sister.
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