Write an algorithm to compute the value of interpolation using Newton’s divided difference method.Write a program to compute the value of interpolation using Newton’s divided difference method.[5+5]

(a) Algorithm Newton's Divided Difference interpolation finds a polynomial passing through given data points (x₀,y₀), (x₁,y₁), ..., (xₙ,yₙ) and estimates the value at any point x. The interpolating polynomial is: Where divided differences are defined as: - Zero order: f[xᵢ] = yᵢ - First order: f[...