Logic Masters Deutschland e.V.

This is a variant of a sandwich sudoku, in which some cells contain 2-digit numbers.

Fill the grid with 1-digit and 2-digit numbers, so that every row, column, and 3x3 box contains each of the 10 digits, from 0 to 9, exactly once: Eight cells contain 1-digit numbers, and the other cell contains a 2-digit number (from 10 to 98).

A number next to a row or column gives the sum of all numbers between the largest and smallest numbers in that row or column. (This seems like a natural generalization of the usual sandwich sudoku rule.) For example, if a row contains 4, 1, 5, 8, 2, 7, 60, 3, and 9, then the largest number is 60, the smallest is 1, and the sandwich sum is 5+8+2+7 = 22.

Note that you could reverse the digits of any 2-digit number in the grid (if it doesn't end with 0), without changing the sandwich sums. So for this puzzle, and especially for the solution code, there's an additional rule to avoid such ambiguity: In every 2-digit number the tens digit is larger than the ones digit; e.g. 73 can occur but 37 cannot.

The puzzle is available on Penpa.