(a) The impulse response h[n] of a linear time-invariant system is known to be zero, except in the interval N₀ ≤ n ≤ N₁. The input x[n] is known to be zero, except in the interval N₂ ≤ n ≤ N₃. As a result, the output is constrained to be zero, except in some interval N₄ ≤ n ≤ N₅. Determine N₄ and N₅ in terms of N₀, N₁, N₂, and N₃.

(b) If x[n] is zero, except for N consecutive points, and h[n] is zero, except for M consecutive points, what is the maximum number of consecutive points for which y[n] can be nonzero?