Solution to Problem 17: "Battleships #1"

shipA1.bmp (76342 bytes) A3 must be a ship square, so A2-A3 is a destroyer.  C5 is a ship square.  All of the unmarked squares in column B and row 6 are water squares.   The ship that goes through H7 must be a left-right ship, so G7 and I7 are ship squares, so the unmarked squares in column G are water as well.

All of the squares diagonally adjacent to ship squares must be water squares.

shipA2.bmp (76342 bytes) The only place for the battleship is F7-I7.  The only place for the two cruisers are C4-C6 and H1-H3.  We draw water squares to surround these ships and put water squares in the rest of row 2 and columns C and H.

If F4 were a ship square, there would be no way to put the third ship square in row 3, so F4 is a water square.   E3 is a ship square, so F3 and F5 are water squares and E3 is a ship square (so there is a destroyer at E3-E4).  The rest of column E is water, so there is a submarine at D1, and another at F9.

shipA3.bmp (76342 bytes) The third submarine is in column D and the fourth in column I, so there are no submarines in column A.  The rest of A must be the remaining destroyer at A7-A8, so the subs are at D9 and I5.
shipA4.bmp (76598 bytes) The submarines are at D1 D9 F9 I5..

Comments: I figured out the first frame of this solution, but didn't get any farther.   It's amazing how things can seem so logical after you're done.  I wonder if your mind gets into the rut of solving certain kinds of puzzles so that it is difficult to refocus for a different puzzle, or if I was just wrapped up in too much stress to think clearly. 

This is another puzzle type where solving it on the computer has spoiled me for doing it on paper -- it's much harder to play with hypothetical solutions.