Lagrange Equality Minimum Point

Problem

Minimizing x^2 + y^2 subject to x + y = c gives the symmetric solution (c/2, c/2): the constraint plane meets the circular level sets tangentially.

Given c, return the minimizer [x, y].

Hint

Stationarity of x^2 + y^2 + lambda (x + y - c) forces x = y.

case 1

in: [2]

expected: [1,1]

case 2

in: [0]

expected: [0,0]

case 3

in: [-4]

expected: [-2,-2]

Starter codePython

def lagrange_equality_minimum_point(c):
    # Your code here
    pass

3 test cases · run your code against them in the editor