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Recursionmedium
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In a grid, you move from (0,0)(0, 0)(0,0) to (m,n)(m, n)(m,n) using only right (R) and down (D) moves. However, at the special cell (1,1)(1, 1)(1,1), you may also move diagonally (DR). Let G(m,n)G(m, n)G(m,n) denote the number of paths. Which recurrence relation correctly models this?