Frame 1~9 Sudoku (Daily Sudoku League #55)

This particular Frame 1~9 Sudoku is my very old creation. This Sudoku type appeared in one of the Sudoku Championships and to practice for that championship, I created this Sudoku.

This Frame 1~9 Sudoku is my 55th contribution to The League of Extraordinary Ladies and Gentlemen. Can you solve this tough Frame 1~9 Sudoku puzzle?

Rules of Frame 1~9 Sudoku

Classic Sudoku Rules apply. Additionally, clues outside the grid indicate the sums of digits
a) between the digits 1 and 9
or
b) after the second seen 1/9
or
c) before the first seen 1/9
Clues are written in increasing order.