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Mirror labyrinth (748)

Instruction:
Insert numbers 1-4 and two different diagonal mirrors exactly once in each row and column. The hints around the grid indicate how the light travels through the mirror labyrinth. The same letters indicate the entrance and exit of the beam. The number is equal to the sum of numbers encountered on the way through the labyrinth. If the beam passes twice through the same number, this number is calculated twice.

Reference: WPC 2018 (120)

Related puzzles:
Bangalore Mirror