Tony Ruth
  • Member for 5 years, 11 months
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Four-by-four table with equal row and column products
Accepted answer
17 votes

Notice that each row and each column contains the numbers 1, 1, 2, 3, 4, 5, 6, 7 $$ \begin{array}{ a b c d } 4*7 & 1*6 & 3*1 & 2*5 & \\ 3*5 & 2*1 & 4*6 & 1*7 &\\ ...

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Students in a class with the same name
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10 votes

Each of the numbers 0,1,2…,9,10 appears at least once. In fact, the only way this works is if there are 1 students with name A, 2 students with name B, 3 students with name C, etc up to 11 students ...

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Octospider Cousins
Accepted answer
8 votes

Thanks to Alconja for the suggestion. My first thought upon seeing this problem is, I wonder what the RGB and HSV values of those bands are. The program I used gives R, G, B in the range 0-255 r g ...

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Three Dice minimum value
7 votes

Here is what I did: I started with these 3 sequences which are able to reproduce the number 1-216. Basically this is the first three digits of a base 6 representation. Each row represents one die. 1,...

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Poor little thing. it didn't deserve this
Accepted answer
7 votes

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Reverse puzzling - What is my brother solving?
6 votes

When drawn on a hexagonal grid, it looks symmetric (2,8) red (2,1) (2,3) (7,8) (9,8) green (2,4) (2,6) (4,8) (6,8) (7,1) (7,3) (9,1) (9,3) blue (1,8) (2,7) (2,9) (3,8) (4,1) (4,3) (6,1) (6,3) (7,4)...

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An ugly formula
6 votes

Partial solution. I can reduce this to a polynomial equation with only integral powers, but so far I am not sure how to find the integer solutions of this new equation. New equation: where m < 1,...

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Lost my eyes - A riddle
6 votes

Are you: I'm not sure how this relates to the word culture though.

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Chewed, Wielded and Legendary - What am I?
5 votes

How about: I have teeth, but can be chewed. I alone am worshipped, but those who yield me are too. I reside among legends, but a myth I am not.

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For the honor of Hufflepuff
Accepted answer
5 votes

Your strategy should be to Edit: My comments The first result seems to imply that the end result of the competition will be Whereas the second result seems to imply that the very end will be: ...

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Bigger board with the least squares
5 votes

Edit: I kept going back and forth between whether it should be 15 or 16 squares. I used color to convince myself that 15 does actually work. 1 is in the bottom left corner of a 8x8 square. All of the ...

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Blackboard problem with 2016
5 votes

I tried tackling the problem numerically. I found that up to 13 layers of depth(the furthest I could go), there was no solution. First I inverted $ f(x) = 2x+1 -> f^{-1}(x) = \frac{x-1}{2}$ $ ...

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Perfect strategy for the 2nd player in 'The coins on a table game'
4 votes

Obviously player two wants it to be so that after an even number of coins have been played no more can be. To do that, player two should prevent the forcing of an odd coin game and look for a way to ...

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The asymmetric coin game
4 votes

The probability of Alice getting $i$ heads after $n$ flips is: The probability of Bob getting $i$ heads after $2n$ flips is: Then the probability of Alice and Bob getting the same number of heads ...

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A general solution to the decanting problem? (aka jug-pouring, water-pouring)
4 votes

I wrote a program to find general solutions to the decanting problem. I generalized the problem a little bit by allowing you to search for not just getting a single jug with $n$ liters, but listing ...

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Guessing a number with 250 divisors
4 votes

You can solve for n in at most Here is how this works: Furthermore: example: Edit, I realized this does not work for the case n = $3^4 * 5 * 11^4 * 13^4$ because

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Sliding 10 coins to make them alternate
4 votes

I was able to do it in 6. 1. H H - - H T T T T T H H 2. H H T T H T - - T T H H 3. H - - T H T H T T T H H 4. H T H T H T H T T - - H 5. H T H T H T H - - T T H 6. H T H T H T H T H T

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Searching for a secret door
Accepted answer
4 votes

I would like to thank dmg and user3294068 because their insights helped me find this answer. dmg tried moving out twice as far in each step, whereas user3294068 tried moving w times as far in each ...

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There is a reason sudoku uses squares
2 votes

Edit: Angel Koh came up with another solution to my layout, so it is non-unique. I believe to have a unique solution in regular sudoku you need at minimum: 1 number in each column, 1 number in each ...

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A Strange Planet with a Strange Dance
2 votes

The number of moves it takes in order for the shortest alien to be at the front of the line is O(n). Therefore, they keep dancing until enough aliens die off that the dance converges in a reasonable ...

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Three points travel along a straight line
1 votes

The answer is: To see why consider:

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The Mystery Of Mr. Mason's Murder
1 votes

It must be because:

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How Many Diamonds robbed by the 7 D&D thieves?
1 votes

My best guess:

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The Fathers' Riddle
1 votes

I believe the fathers are: Some of us with many Some of us with one Our children vary in appearance even more than we But helpers they are to one and plenty A few of us knew our calling A few ...

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On the fringe between two countries: what am I?
1 votes

I believe you are: I seem physical.. On the fringe between two countries, I have no proper home, but make one for others. Standing proudly for all to see, my purpose is often to conceal. ...

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To each his own
1 votes

All of the graphs have two sequences of letters in the alphabet with missing letters in between. The first graph is missing the letters: NO The second graph is missing: IJKLMNO WXYZ The third is ...

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My not very bad one
1 votes

Are you First composed of "Badap ba daa ba da daa ba daa da deda daa Badap ba daa ba da daa ba daa da deda daa". A benevolent dictator for life implicitly writes. The beginning of people saying, "...

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What is the largest number you can create with 0000 by moving only two sticks?
0 votes

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