In this problem you'll implement a general feed$-$forward neural network class that utilizes sigmoid activation functions. Your tasks will be to implement forward propagation, prediction, back propagation, and a general train routine to learn the weights in your network via stochastic gradient descent.

The skeleton for the network class is below. Befor filling out the codes below, read the PART X instruction. The place you will complete the code is indicated as "TODO" in the code. Pleaes do not modify other parts of the code.

due to the character limit i have uploaded the code to the below doc.

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