(1 point) N The path shown above connects (0, 0) to (10, () using points on the integer lattice of the Cartesian plane, where every step is one of two types: (x, y) + (x + 1, y+ 1) or (x, y) + (x+ 1, y-1) The number of paths allowed to meet the x-axis, but not cross it, is The number of paths not allowed to meet the x-axis is