What are the odds?

Normal sudoku rules apply. A little killer clue indicates the value of the sum of all even or all odd digits on that diagonal. If the even digits are counted, no odd digit contributes to the sum and vice versa. (Whether the even or odd digits are summed up has to be determined by the solver.) A little killer clue without given number has the value 0. Digits in a cage do not repeat. A killer clue indicates the sum of all even digits or of all odd digits which are contained in the cage.