Normal sudoku rules apply. A pentomino is a set of 5 orthogonally connected cells. There are exactly 12 different possible pentomino shapes (treating reflections/rotations as equivalent). Arrange all 12 pentominoes in the grid so that 9 of them contain only odd digits. Digits CAN repeat inside a pentomino. Pairs of cells connected by an X or V sum to 10 or 5 respectively AND belong to two separate pentominoes. Not every X and V is given. Along the thermometer, digits increase from the bulb end.