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Normal irregular sudoku rules apply. Fill every row, column, and each of the 6 regions in the grid with each of the digits 1-6.

Each region must be discovered by the solver, must be orthogonally connected, and must contain exactly one bulb.

Each of the given bulbs (grey circles) must be the lowest digit of a standard sudoku thermometer *, and that thermometer must:
(A) be the exact length given in the attached clue
(B) be entirely confined to one region
(C) be the absolute longest possible thermometer drawable in its region. In other words, in the solution grid, it must be impossible to draw a different valid thermometer of equal or greater length in the same region.



* Standard Sudoku Thermometer: a non-branching line starting at a bulb and connecting a sequence of orthogonally or diagonally adjacent cells, on which the digits strictly increase with their on-line distance to the bulb. Thermos may cross themselves.
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