Pentaroll

Rules: Given pentomino set was lying in the grid, without touching each other even at a point. Then each pentomino was rolled over one edge. The grid presents the top view after rollings. The numbers outside the grid indicate the number of pentomino pieces in the corresponding direction. Given pentominoes may be rotated and/or mirrored. Find the initial locations of pentominoes.

It is not important whether a pentomino can or cannot physically stand on the rolled face; and the rollings should be considered as virtual movements, ignoring the possible during collisions the movement.

Background: The puzzle invented by Riad Khanmagomedov in April 2009 IPST. Riad is a very talented puzzle maker, and you can check his masterpieces in IPST’s. After IPST, I used this idea in OAPC 8 or you can find those in Janko.

Example:

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