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TSA Original Paper 1 · Question 32 · Optimisation

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A robot moves on a 4×4 grid. It starts at the top-left corner and needs to reach the bottom-right corner. The robot can only move right or down (never left or up). Each square on the grid has a number showing the points collected when the robot passes through that square. The robot collects points from every square it visits, including the start and finish squares.

Question diagram

What is the maximum number of points the robot can collect on its journey?