Normal sudoku rules apply. The grid is completely covered by 17 killer snakes! One snake of length 9, and two snakes each of length 1 through 8. A snake is 1 cell wide, and has exactly one single bend somewhere along its length (except the 1- and 2-length snakes). Numbers don't repeat within a snake. The nine given numbers in the corners give the total sum of digits in the snake that occupies that cell. These 'killer clues' apply to nine differently-sized snakes. Find the snakes and solve the sudoku.