I think that would be _83

The sequence looks like this:

A _83
B _33
A _66
B _16
A _32
B  18
A  36
B  86
A 172
B 222
A 444
B 494
A 988

_99 through _84 have B win, and anything smaller than _99 has no winner.

-- 
Raul

On Tue, Mar 5, 2013 at 3:08 PM, Johann Hibschman <[email protected]> wrote:
> Thanks for all your help.
>
> By the way, the original problem that started me thinking about this was
> one of the puzzles given at the MoMath masters tournament last week:
>
> Imagine a two-player "game", where player A takes a number (integer),
> doubles it, and passes it to player B, who adds 50 and passes it back to
> player A. The first player to name a number greater than 1000 loses. If A
> starts the game by passing an initial number to B, what's the lowest number
> A can give that guarantees a win?
>
> Regards,
> Johann
> ----------------------------------------------------------------------
> For information about J forums see http://www.jsoftware.com/forums.htm
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