Below is a pseudocode for constructing cubic spline inter- polat S tor the function f defined at the real numbers xo x1 n, satisfying S'(o- f'(zo) and S(xn)f(x). Write a Maple pro- cedure that implements it ri, . . . An; ao f(zo), ai = f(x1), . . . , an n) OUTPUT a,, b,, cj, d, for j- 0,1,... ,n-1. Step 1 For i = 0, 1, . . . , n-1 set hi = Xi+1 Step 2 set -Xi. 3(a1FPO; and 0 3(an -am n- Step 3 For i 1, 2, . . . , n - 1, set 3 ai-1 Below is a pseudocode for constructing cubic spline inter- polat S tor the function f defined at the real numbers xo x1 n, satisfying S'(o- f'(zo) and S(xn)f(x). Write a Maple pro- cedure that implements it ri, . . . An; ao f(zo), ai = f(x1), . . . , an n) OUTPUT a,, b,, cj, d, for j- 0,1,... ,n-1. Step 1 For i = 0, 1, . . . , n-1 set hi = Xi+1 Step 2 set -Xi. 3(a1FPO; and 0 3(an -am n- Step 3 For i 1, 2, . . . , n - 1, set 3 ai-1