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ConradCHESS .. 100 stacked cubes .. logic .. IM Conrad Goodman

100 cubes
Each of 100 stacked cubes is 1/2 the size of the cube that it sits on.
If the bottom cube is 1 foot high, approximately how tall is the stack?

Congratulations to these solvers:
THREE solutions found by Albert Frank.
TWO solutions found by Joshua Green and Glenn McCorkle.
ONE solution found by Niven Brown, Brian Foote, Lance Co, LW Luk,
Chris Magson, Will McGugan, Christophoros Mouratidis, Lauren Riley,
Matthew Robinson, Bernard Sojka, Steve Steppe, Jay Wilkens,
Brian Wood and Joe Yalkezian.

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