I've seen the questions on this site with modified Battleship, but I haven't seen one for the standard variation.

So - what is the optimal strategy to win this game?

  • 2
    $\begingroup$ I'm voting to close this question as off-topic because it's not a puzzle; Board & Card Games is a better home for this question. $\endgroup$ – Glorfindel Feb 15 at 21:27
  • $\begingroup$ (Without commenting on whether or not this is off-topic here, I'll note that if a question is on-topic here, the fact that it might fit better somewhere else is not a reason to close it or forcibly migrate it elsewhere. We want to respect a poster's right to choose the site they post to, provided it is on-topic there; they often have a good reason for their choice, even if it is as simple as "I like this site more than that one".) $\endgroup$ – Rubio Feb 15 at 22:44
  • $\begingroup$ I could rewrite this to be more puzzle-like if you want. $\endgroup$ – Brandon_J Feb 15 at 22:58
  • $\begingroup$ @Glorfindel Games and strategies for winning them have been on-topic here since the birth of the site. You should know by now that questions don't have to be puzzles to be on-topic here. $\endgroup$ – Rand al'Thor Feb 16 at 7:42
  • $\begingroup$ IMHO there's a (huge) difference between two-player games and single-player games. (Though once the board is set up, you could argue that you and your opponent are both playing a single-player game simultaneously.) I wouldn't even think of calling an Alphametic a game, for instance. I guess I just happen to disagree with the majority, but my vote still stands. $\endgroup$ – Glorfindel Feb 16 at 8:26

I'll start with a few points. Some of these are taken from this excellent blog, which I certainly recommend reading even if you don't want to write a computer program.

The main method to lower your attack count is by eliminating half the squares: imagine laying a chessboard over the board. Each ship must have at least two squares, so you are guaranteed to find them all by only checking the white squares. Similarly, once the two-long Destroyers are all killed, you can get away with checking every third square - just the red squares on the below image will catch them all, and so on.

three-color chessboard

Other than that, aim near the middle of the board. The squares toward the centre are the most likely to contain ships, as the larger 5-long Aircraft Carriers have less possibilities to be put in a corner. Your guesses when trying to locate ships should also be close together (but not adjacent, see the first point).

Once you find a ship, stop your current strategy to sink that ship. This is mostly common sense, but there is an additional tactic to use when trying to sink a ship you have partially found. Your supplied rules say that when hit, you also find out what ship type it is. Unlike the full board, this smaller set of possibilities may be possible to imagine in your head or on a piece of paper. Even with the 5-long Aircraft Carrier, there are at most 18 possible orientations. Eliminate the impossible ones, and guess a square that commonly appears.

Finally, when placing your ships, try to psyche out your opponent. Use corners and edges to counteract the second strategy. Having them run end-to-end is generally good, perhaps less so in this mode, as you will have to call out which ship it is. Instead, cluster them close together - having them diagonally adjacent as in this picture is often tricky to guess, as opponents will prefer to search in the wide open spaces where there are more ways to have a ship.

enter image description here


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