Code block C-programming!

1. The following data is given 1 2.5 2 3 5 y 7 5 8 2 1 Write a C-code to: (a) obtain the polynomial relation in Lagrange form that passes through the points, then use it to calculate the interpolated value of y at x 3.5. (b) obtain the polynomial relation in Gregory-Newton's form that passes through the points, then use it to calculate the interpolated value of y at x 3.5