Posted by: ritthe_jasus January 21, 2007
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republic, I think i have the solution, its just in my head i have not tried on paper yet, correct me if I am wrong.
soln,
you leave one stack, weigh only 9 stacks but with following order
1st stack -- 1 coin
2nd stack -- 2 coins
3rd stack -- 3 coins
4th -- 4
5th -- 5
6th -- 6
7th -- 7
8th -- 8
9th -- 9
if it was all 100 gm coins it would weight (x)=900+800+700+600+500+400+300+200+100
When we weight if the weight is equal to x, then the odd coin is from the stack that we left out.
if the weight is 10 gram less its the 1st stack
20 gm less -- 2nd stack
30 gm less -- 3rd stack
40 gm less -- 4th stack
50 gm less -- 5th stack
60 gm less -- 6yh stack
70 gm less -- 7th stack
80 gm less -- 8th stack
90 gm less -- 9th stack
I think thats the answer ....... damn it was a good one. thank you republic keep it coming.