1
Compartments
Rows and columns are divided into compartments of white squares. Look at the phone picture which has two 'straights' filled in and highlighted. The blue cells separate the compartments. Compartments can be both vertical and horizontal.
2
Numbers
No single number can repeat in any row or column - same rule as Sudoku.
3
Cells
Cells in compartments need to be filled in with single numbers. These must complete a 'straight'. A straight is a set of numbers with no gaps and in any order, such as [6,8,7] or [3,2,4,5]. For example [1,2,4,5] is not a 'straight' as it has gap - number 3.
4
Numbers in blue
Numbers in dark blue cells remove that number as an option in that row and column and are not part of any straight.