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Mathematics - 30 June 2007

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Please don't tell that it is how integers are distributed, or that is definition of integers and so on. I found this problem in a book, and so please try to provide some proof based on number theory. I have some basic number theory background.

2007-06-30 06:46:11 · 10 answers · asked by astrokid 4

How do I prove that this algorithm can solve all n x n mazes?

The entrance of the maze is at the bottom left and the centre are the middle 4 squares. The algorithm is to first set an arbitary direction as North (in this case we set North as North), then moving in that direction until an obstacle is met. If there is an obstacle at North, move East. If there is an obstacle at East, move South. If there is an obstacle at South, move West. Keep repeating these steps. Eventually we can reach the centre of the maze. The robot (or person) is also clever enough not to retake the route taken previously if it has returned to the starting point, as in it will ignore the first opening to another route (as it had taken this route in the first try). If it returns to the starting again, it will ignore the first and second routes and repeat the whole process again. How do I prove or if possible improve this algorithm? Much help appreciated, thanks.

2007-06-30 05:36:20 · 2 answers · asked by whatagowk 2

please help. im not sure where to get help on this one.
lots of thanks to any one who can help.

2007-06-30 05:16:53 · 7 answers · asked by starcruiserGalaxy2029 2

Three, Five, Seven is a two player game. To win you have to make your opponent take the last match. You can take any number of matches from 1 row only. You must take at least one match each turn. The game is set up as shown below.

I I I <-- row 1
I I I I I <-- row 2
I I I I I I I <-- row 3

My task is to devise a statagy to win the game. I need help if anyone can. Best answer goes to the one that was the most help within 4 days thnx.

2007-06-30 04:57:31 · 3 answers · asked by Anonymous

2007-06-30 04:56:58 · 4 answers · asked by CPUcate 6

2007-06-30 04:52:19 · 6 answers · asked by Anonymous

2007-06-30 04:46:53 · 3 answers · asked by babaideep 1

It seems that I can't solve this problem. I don't know how to start...
ABCDE
x 4
EDCBA

WTF????

2007-06-30 04:19:11 · 5 answers · asked by LIFE HATER 1

I forget how to lol.

2007-06-30 04:06:19 · 5 answers · asked by John 2

homework

2007-06-30 03:58:18 · 7 answers · asked by Lee YW 1

Question 1
--------------------
is there any rule that For any triangle orthocentre (H) , centroid (G), circumcentre(C) are Collinear ?


Question 2
------------------
does G divides HC in 2:1 ? i know G divides its median in 2:1 but does it do for HC also ?

2007-06-30 03:22:02 · 3 answers · asked by calculus 1

2x^2-4x-3=0

please help

2007-06-30 02:54:02 · 8 answers · asked by Bianca B 1

3

Sometimes, one rule of arithmetic can be replaced with another one, and save time for both writer and reader. For example:

A + A + A + A + A... ["A" repeated A times] = A x A

A x A x A x A x A... ["A" repeated A times] = A ^ A

Now my question is:

A ^ A ^ A ^ A ^ A... ["A" repeated A times] = A [what goes here?] A

And whatever goes there, what do you write when that way of writing too is similarly exhausted, and what do you write when that too is exhausted, and so on, and so on?

2007-06-30 02:33:50 · 4 answers · asked by Justin Case 1

i never figured it out .. how does algebra really help us in life?

2007-06-30 01:53:33 · 7 answers · asked by Jason M 2

How do you get the mode of a grouped data if there are two classes that both have the highest frequency?

2007-06-30 01:44:55 · 3 answers · asked by piercedgal 2

http://m1.freeshare.us/155fs152333.gif

2007-06-30 01:41:52 · 4 answers · asked by Amir 1

http://m1.freeshare.us/155fs15152.gif

[x] represnts integer part of x.

2007-06-30 01:37:45 · 5 answers · asked by Amir 1

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