Please, be aware that test cases don't necessarily use all the same penalty parameters. For instance, I have used 1e6 for cases 2,3,4 & 6 and 1e4 for cases 1 & 5. It all depends on which method one uses for the exterior penalty (and approximations may fail because of it).
In a sense, it is like trying to find the secret formula instead of finding the minimum value of a function.
Test if a Number is a Palindrome without using any String Operations
Project Euler: Problem 1, Multiples of 3 and 5
Differential equations I
Nonuniform quantizer as a piecewise constant function
Snakes on a plane
Composite Trapezoidal Rule for Numeric Integration
Steepest Descent Method
Gauss Eliminate 2-by-2 example
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