Vaulted Paths

Normal sudoku rules apply.

The marked cages are "Vaults". Digits in vaults MAY repeat, but must sum to the total if given. Digits orthogonally adjacent to a vault may NOT be included within that Vault.

A path consisting of the digits 1 to 9, in order, moves from left to right across the grid with each digit in its corresponding column (1 in column 1, 2 in column 2, etc.) The cells along the path are connected orthogonally or diagonally. A similar path crosses the grid from top to bottom, starting with a 1 in row 1, then a 2 in row 2, ending with a 9 in row 9. Again, cells along the path are connected orthogonally or diagonally.

The two paths (which do not share cells) must be determined by the solver.