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2D Grid Game II
Discrete Math
Part 1

You are playing a 2D game where your character is trapped in a 6 × 6 grid. Your character starts at (1, 1), and can only move down and right. There are two power-ups located at (2, 3) and (4, 6). How many possible paths can your character take to get to (6 ,6), such that it collects at least one power-up?