Japanese Sums Battleships/en

Instructions

Fill the grid with numbers 1~6. Numbers outside the grid indicate the sums of the numbers in the corresponding directions, in order. There must be at least one blackened square between the sums, and numbers cannot be repeated within a row/column. Satisfy the sums so that all the blackened cells include the given Battleships fleet. The ships cannot touch each other even diagonally. Some sums and some numbers are already given.