Pentomino Sight Lines

Normal sudoku rules apply.

Digits separated by a white dot are consecutive; not all such dots are shown.

The indicated 60-cell white region contains one each of the twelve standard pentominoes (no repeats by rotation or reflection).

Each pentomino contains exactly one given digit. That digit indicates the number of cells of the pentomino that are "seen" orthogonally from that position (including itself).

The arrangement of pentominoes must be deduced.

Once placed, each pentomino behaves like a 5-cell killer cage: digits do not repeat and must sum to the value listed below (using standard pentomino labeling):

F=30, I=26, L=24, N=17, P=33, T=17, U=15, V=25, W=26, X=25, Y=23, Z=31

Illustrated Pentominoes at: https://tinyurl.com/pent-labels