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wolfgang
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Draw a circle ,devide it into 12 points,give each point a number (1 to 12) according to your own stratigy.

A robot will fly around this circle in one direction(clockwise ),when he stops on a given point he will dig a hole there!...so the robot will do these steps repeatedly:

1-read the number standing on.

2-dig a hole.

3-fly so many steps according to number from step 1.

4- go to 1

the mission will fail if the robot falls into a hole.. :duh:

Start the mission by placing the robot on any point of your choice,,,press...GO..!!and the robot will do his job perfectly as written above.

Try to make a strategy which will lead to dig maximal number of holes.

The number standing on will not be counted....for example:

if your numbers where, 8..2..12..5..3.....etc.,

if you decided to put the robot on number 2 as a start point...so

1-read..(2)

2-dig a hole in this place.

3-fly to (5).

4-go to 1

1-read (5)....and so on.....

Edited by wolfgang
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superprismatic, did you guess? I got 11 holes on my first try, but then kept trying to logic my way out. Haven't had luck, but I'm interested if there's a way to narrow the choices logically. I keep going back to the odd-even rules.

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superprismatic, did you guess? I got 11 holes on my first try, but then kept trying to logic my way out. Haven't had luck, but I'm interested if there's a way to narrow the choices logically. I keep going back to the odd-even rules.

I wrote a little program to find all which dig 12 holes. There are 3856 of them. I picked the one that looked simplest to me.

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