This is a new fillomino variation.
Rules: Divide the grid into polyominos ,and write a number in every cell,such that every number in the grid is contained in a polyomino of that area.Polyominos of the same size cannot touch through edges.A polyomino can contain one,more than one,or none of the given numbers. Grey cells are dead ends.A cell is a dead end cell if it is connected with exactly one cell of the polyomino it belongs to.1-cell areas are not dead ends.All dead ends are marked.None of the white cells are dead-ends.
I count three solutions. The 8-omino might use 0, 1, or 2 of the dead ends.
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