HAPPY VALENTINES'S DAY TO ALL
RULES : Classic Sudoku rules apply. Additionally, there are some thermometer shapes in the grid. The numbers are in increasing order from the bulb to the flat end on each thermometer.
Also, numbers with arrows outside the grid indicate the sum of the digits in the corresponding direction. Digits may repeat in the corresponding direction.
If the digit in a cell is half or double of the digit in a neighboring cell, then they are separated by a black dot. All possible dots are not marked.
