Logic Masters Deutschland e.V.

Adam has a 6×6 metal sheet marked with a Latin Square, in which each row and column contains the digits 1–6 exactly once. He plans to cut, fold, and weld the sheet into six cube cases. Each case consists of a body and a lid:

Once the cases are fabricated, a surprising property emerges. Each cube case has six different digits on its faces (including the lid), arranged like a standard die, with the digits on opposite faces always summing to 7.

Now, Adam remembers only the top-left cell (with respect to the grid) of each pentomino on the original sheet, as indicated by the six black digits.

Help Adam locate the six pentomino bodies and complete the Latin Square.

Here you can solve the puzzle online: Solve on SudokuPad
The difficulty is probably 3 stars. I wish you joyful solving!