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Irregular math sudoku (699)

Instruction:
Place numbers from 1-8 in the grid so that each number appears exactly once in each row, column and outlined region.
The numbers on the right and left show the sum of the first 2 numbers in the row from the given side. The numbers on top and bottom
show the product of the first 2 numbers in the column from the given side.

Reference: WPC 2018 (120)

Notes:
Variants:
- Instead of the first 2 numbers in the row, it could be 3 or more numbers.
- Instead of the first 2 numbers in the column, it could be 3 or more numbers.

Parent puzzle:
Frame Sudoku
Related puzzles:
Irregular Sudoku