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A natural p-classes generalization of the eXclusive OR problem, thesubtraction modulo p, where p is prime, is presented and solved using a singlefully connected hidden layer with p-neurons. Although the problem is verysimple, the landscape is intricate and challenging and represents aninteresting benchmark for gradient descent optimization algorithms. Testing 9optimizers and 9 activation functions up to p = 191, the method converging mostoften and the fastest to a perfect classification is the Adam optimizercombined with the ELU activation function.

XOR_p A maximally intertwined p-classes problem used as a benchmark with built-in truth for neural networks gradient descent optimization