Please write the right solution of the following problem

Problem- Newton Polynomial Interpolation For the following problem please use MATLAB program to code the following problem on the bottom the first U.S. postage stamp was issued in 1885, with the cost to mail a letter set at 2 cents. In 1917, the cost was raised to 3 cents but then was returned to 2 cents in 1919. In 1932, it was upped to 3 cents again, where it remained for 26 years. Then a series of increases too place as follows: 1958 = 4 cents, 1963 = 5 cents, 1968 = 6 cents, 1971 = 8 cents, 1974 = 10 cents, 1978 = 15 cents, 1981 = 18 cents in March and 20 cents in October, 1985 = 22 cents, 1988 = 25 cents, 1991 = 29 cents, 1995 = 32 cents, 1999 = 33 cents, and 2001 = 34 cents.

Part 1- Determine the Newton interpolation polynomial for these data.

I want experts help to find the Newton interpolation polynomial for given data.