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 2000 cards (Posted on 2009-01-04)
There are cards labeled from 1 to 2000. The cards are arranged and placed in a pile.

The top card is placed on the table, then the next card at the bottom of the pile.

Then the next card is placed on the table to the right of the first card, and the next card is placed at the bottom of the pile.

This process is continued until all the cards are on the table.

The final order (from left to right) is 1, 2, 3, ... , 2000.

In the original pile, how many cards were above card labeled 1999?

 See The Solution Submitted by pcbouhid No Rating

 Subject Author Date re(3): computer solution (spoiler) elementofsurprize 2009-01-05 22:07:20 re: non-computer solution Charlie 2009-01-05 19:27:42 non-computer solution Paul 2009-01-05 17:39:13 re(2): computer solution (spoiler) Charlie 2009-01-05 10:05:50 re(2): computer solution (spoiler) Charlie 2009-01-05 01:35:10 re: computer solution (spoiler) elementofsurprize 2009-01-04 20:09:04 Another Computer Spoiler elementofsurprize 2009-01-04 19:36:38 Tracing the cards Gamer 2009-01-04 18:06:51 computer solution (spoiler) Charlie 2009-01-04 15:04:56

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