A pair of candles fell over during puzzle creation and burned two holes in the grid. I repositioned the fallen candles, but could not recover the burned clues ...
Place lighted candles in some of the white cells. Each clue determines the total height of all candles in the up to eight adjacent cells. Candles without neighbouring candles have height 4. Since the heat of nearby candles melts wax, the height of a candle has to be reduced by 1 for each orthogonally adjacent candle. There are no candles of height 0.
Solution code: The heights of all candles and - for empty cells and clues surrounding both shaded cells (left first), clockwise beginning top left.
on 24. April 2015, 11:58 by Luigi
@RALehrer: Thank you for the hint!
on 24. April 2015, 08:30 by RALehrer
@Luigi - the fields burned must be note fields. You can make no assumptions regarding the candles that fell.