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DP filling a flattened 2D array: dp.(0, 0) = 1 dp.(i, j) = dp.(i-1, j) + dp.(i, j-1) index = i * (n+1) + j For a 4x6 grid (5x7 dp matrix), the count is C(10, 4) = 210. Tests Array as 2D via row-major flatten + nested for + multi-step conditional access (above/left guarded by 'if i > 0' / 'if j > 0'). 87 baseline programs total.