Battleship Prime Redux
(Published on 20. April 2023, 22:18 by SenatorGronk)
This is a modified version of a puzzle I launched a few months ago. I really enjoyed the central conceit of the puzzle but never liked the extra lines I added to disambiguate the second half of the grid.
This one is cleaner with a more thematic additional constraint (buoys). The key to the break-in is identical to the original -- things are a lot more constrained than they may seem.
SudokuPad (CtC)
Rules
- Standard sudoku rules apply
- The grid has 10 ships in orthogonal lines: 1 that is 1x4 cells, 2 that are 1x3, 3 that are 1x2 and 4 that are 1x1. The digits in each ship sum to a different prime number (1 is not prime).
- Diamonds are land cells and indicate the combined number of ship cells in their row and column. Ships do not touch land cells or each other -- even diagonally.
- Circles are buoys and equal the number of ship cells in the surrounding cells (8 in the middle of the grid, 5 on the edge, 3 in a corner). All possible circles are given.
- Note: the two diamonds in Box 8 should be considered separately. They both see all the ship cells in Column 6.
SudokuPad (CtC)
The original version didn't get as much traction as I expected, so here are a few hints to get you started:
Hint 1
How many total ship cells are there?
Hint 2
Which ships have a digit composition that is forced by the prime sum constraint?
Hint 3
How many ship cells do not share a row or column with the 7, 8 or 9 diamonds?
Solution code: Row 5 + Column 2
Last changed on on 21. April 2023, 18:31
Solved by halakani, bodemeister, Jesper, sourcedecay, TrollErgoSum, SquaringSquirrel
Comments
on 21. April 2023, 18:31 by SenatorGronk
Clarifying adjacency constraint
on 21. April 2023, 05:42 by bodemeister
Great idea relating ships to prime numbers. Enjoyable smooth solve! Watch out for negative constraints!
on 21. April 2023, 04:43 by SenatorGronk
Typo
