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Contradiction: A ship larger than the Battleship is forced

In the position given above the digit five in the right-bottom corner has six cells in that line, in which five of them are ship-segments. The largest possible ship for the board is Battleship (4 segment). If one of the end cells are water then the all other cells are ship segments, which means a ship of length five is forced. Which is a contradiction.

So the cells marked A must be ship segments.
segments for

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