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Coin contest (Posted on 2015-11-27) Difficulty: 3 of 5
The coins of various denominations are arranged in a chain (e.g., a row, a semicircle) with two "end points" and the others each having two neighbors.
A move consists in removing an end coin, whereby the coin's immediate (and the only) neighbor becomes naturally an end coin available for the removal on one of the successive moves.
The players take turns, 1st defined randomly.
When all the coins have been removed, the game ends, and the players count their bounties. The player with the larger amount wins.

Devise a winning strategy for one of the players.

No Solution Yet Submitted by Ady TZIDON    
Rating: 5.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
re: 3 coins, 4 coins, and a question | Comment 3 of 5 |
(In reply to 3 coins, 4 coins, and a question by Steve Herman)

The object is stated as having more than the opponent not having the highest total.  But I think either way you are on to something. 

Whoever gets to pick from an even row controls the board as you pointed out.  The only exception to this may be if player 1 starts odd and there a very high value available.  

In fact the even-seeing player would have the option to re-evaluate their choice every turn to increase their margin of victory.  

I don't know what to make of your last example.   Maybe it best applies to the even seer making this position even better. 

  Posted by Jer on 2015-11-27 23:02:14
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