Featured Puzzle: Tridoku #1

Today we have an interesting Sudoku variant. The Christmas tree displayed is a Tridoku puzzle. Fill in each cell of the tree with the digits 1-9. You may not repeat any numbers in:

• Any 9-cell large triangle
• The legs of the large outer triangle
• The legs of the inner triangle

The red ornaments are purely decorative, not a separate region. They belong to both the inner and outer triangles.