Pentomino 2 in 1 (458)

Place the given pentominoes in the grid. Pentominoes can be rotated and mirrored but they cannot touch each other, not even diagonally. Numbers outside the grid indicate how many cells are occupied by the pentominoes in the corresponding row/column. The grid above shows solutions from the two grids below drawn over each other. Each cell that is shaded in the top grid must be shaded in at least one of the bottom grids. Each cell that is not shaded in the top grid cannot be shaded in either of the bottom grids.

Reference: WPC 2016 (65)