Construct a python code to solve this problem

1. Find (r, y, z, w) that miniizes r2 2y2322 + 4w2 (r + y+z )4. Start at (1,-1,1,1). Use Powell's and Conjugate gradient methods. 1. Find (r, y, z, w) that miniizes r2 2y2322 + 4w2 (r + y+z )4. Start at (1,-1,1,1). Use Powell's and Conjugate gradient methods