Etoplay
  • Member for 6 years, 1 month
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How many cubes can we fit in?
15 votes

My answer is This is reached by

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An unusual and very hard number sequence problem
14 votes

Based on the other answers the formula for the values is $f(x)=$ (with the first value is for $x=-1$). The question is what is $f(0)$.

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15 Balls Sorting
Accepted answer
13 votes

And now my computer generated and checked solution: Put the weights in a row and number the places from 1 to 15. Then do the following: I generated these command by an similar algorithm as Murch. ...

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Create a 5x5 Modulo Grid
6 votes

Based on Jamal Senjaya answer: Sum is 34 You can create other solutions by using other Fibonacci numbers as start. For example:

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Checker-board Problems
5 votes

4x4 Board You can achieve that in the following way: That solution is optimal because 5x5 Board Solution:

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Infinite wizards and hats
Accepted answer
5 votes

This solution is based on the Jose's answer, but it construct a strategy with an arbitrary win chance. Winning with an arbitrary win chance xnor showed int this post that a group with $2^i-1$ person ...

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Council of Magic - a palace of deceptive spellcasters
4 votes

Here is my solution with the definitly lowest possible number of questions: Question 1 to Alice: Case 1: Alice stays quiet Question 2a to Bob: Case 1.1 Bob stays quiet too: Now we ask the last ...

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Minimum steps on a numberline
4 votes

First you calculate the smallest $n$ with $\frac{1}{2}n(n+1) \geq x$ if $\frac{1}{2}n(n+1)-x$ is odd then increase $n$ by $1$ if $n$ is even or increase $n$ by $2$ if $n$ is odd. Now $\frac{1}{2}n(n+...

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Aproximating 100 by 6
4 votes

An optimal algorithm with an optimal termination speed that can be done by humans First the algorithm: rolled = 0 max = 1 while(we have another die){ rolled = 6*rolled + rand(6) max = 6*max ...

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Can the idiot's route be less expensive than the genius' route?
2 votes

Yes the Idiot can travel less than the genius. For example in the following graph starting at A: A / \ 2 1 / \ B-9-C-4-D \ / 8 3 \ / E The idiot travels A-B-C-D-E for ...

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