Pentomino Loop Redux

Normal sudoku rules apply.

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

The grey line loops through all twelve pentominoes. It passes through exactly 2 cells of a pentomino before visiting the next. No digit on the line is greater than 5. Also, each pentomino contains one of the 2-cell cages, whose digits must sum to the first number in the top left corner.

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 second number in the corresponding cage.

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