Monday Mutant 48: Battleships (all 3's)

Ten ships (as indicated below the grid: one four-cell ship, two three-cell ships, three two-cell ships, and four one-cell ships) are hidden in the grid. The ships may be rotated from the orientations shown (without changing the numbers), but may not overlap or occupy cells which share a corner or an edge. A number 3 to the right of a row or below a column indicates that three cells in that row or column are occupied by ships; the number of occupied cells in a row or column without a number must not be 3. Find the ships.

Note to solvers (courtesy of Jonah): read the rules, not just the title.