"The Greatest" Fog Sudoku!

View Puzzle Rules ↓

Normal sudoku rules apply. On each line, there is exactly one cell whose value is greater than the sum of any other two cells on that line. Lines can't branch and any two different lines don't share cells with each other. Digits separated by a white dot are consecutive. Entering a correct digit clears fog in its cell, and may or may not clear fog in other cells.