import random, math

​

def sigmoid(x): return 1/(1+math.exp(-x))

def dsigmoid(y): return y*(1-y)

def relu(x): return x if x>0 else 0.0

def drelu(x): return 1.0 if x>0 else 0.0

​

def dot(w, x): return sum(wi*xi for wi,xi in zip(w,x))

​

def make_blobs(n=200, seed=0):

    random.seed(seed)

    X, Y = [], []

    for _ in range(n//2):

        X.append([random.gauss(-1,0.5), random.gauss(0,0.5)]); Y.append(0.0)

    for _ in range(n//2):

        X.append([random.gauss( 1,0.5), random.gauss(0,0.5)]); Y.append(1.0)

    return X, Y

​

def train(hidden=8, epochs=800, lr=0.05):

    X, Y = make_blobs()

    in_dim = 2

    W1 = [[random.uniform(-0.5,0.5) for _ in range(in_dim)] for _ in range(hidden)]

    b1 = [0.0]*hidden

    W2 = [random.uniform(-0.5,0.5) for _ in range(hidden)]

    b2 = 0.0

​

    for ep in range(epochs):

        dW1 = [[0.0]*in_dim for _ in range(hidden)]

        db1 = [0.0]*hidden