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Guest Message by DevFuse
 

Anza Power

Member Since 18 May 2012
Offline Last Active Jun 14 2013 04:45 PM
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Topics I've Started

Trucks in the desert...

09 June 2013 - 07:16 PM

You have 50 trucks, each has a full tank of gas, a full tank can get a truck to a distance of exactly 100km and that is the maximum that it can hold at any given time.

 

You have the ability to transfer fuel from one truck to another, what is the maximum distance you can reach?


Get the gold coin...

05 January 2013 - 12:57 PM

This was sent to me by a friend...

2 players play a game where an infinity 1-dimentional board is divided into cells numbered 0 1 2...

4 coins are placed on some cells in this board, the second coin from the left is gold:

2s831ja.png
(the position of the coins in this picture is just for show)

The players take turns, each player chooses one of the four coins and moves it 1 or more cells to the LEFT, you cannot surpass a coin or land on the same cell.

If you move a coin beyond the leftmost cell it is taken out of the game, whichever played takes out the gold coin wins...

So in the above example the player who's turn it is could either move the leftmost coin 1 cell or take it out by moving it 2 cells, or move the gold coin 1 or 2 cells, or move the third coin 1 cell, or move the fourth coin 1 2 or 3 cells...

Develop a strategy for winning the game given the initial positions of the coins...

3 Hats...

15 December 2012 - 07:56 PM

Sorry if this has been posted before, a friend texted me this saying he needed the solution ASAP, I can proudly say I replied in a very timely manner... :D

Again it's that psycho warden with the obsession with hats and logic coming up with a new challenge, 3 prisoners, each gets a hat, the hats can be colored red green or yellow (no one knows how many hats in total there are of each color) each prisoner can see the hats of the other two but not his...

Each must write down the color of their hat on a piece of paper, if at least one of them is correct they all go free, what should they do?

(btw there's the usual rule if they talk or anything they all get executed, they may agree on a strategy before but that's it)

Birthday.

10 October 2012 - 12:28 PM

Try to answer this one as quickly as possible:

Your friend tells you: "Each year my birthday comes in the same day of the week as my younger brother's because they're exactly 14 days apart, I was born on a Monday so that means he was born on a Monday too"

Is she correct?

Partitioning a Rectangle...

11 June 2012 - 12:50 PM

I've been pondering this for a few months now and haven't got a clue yet what to do...

Prove that if you have a rectangle and you partition it into smaller rectangles such that every rectangle has at least 1 edge of integer length, then the large rectangle has 1 edge of integer length.

The proof is supposed to be simple by using the fact that in a graph the number of nodes with odd degrees is even, and it's generalized for Rn, but I'm still stuck even on R2...

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