def find_anomalous(X, M1, M2):
    K = []
    for i in range(1, len(X)):
        diff = X[i] - X[i-1]
        if diff < M1 or diff > M2:
            K.append(i)
    return tuple(K)

def correct_signal(X, K):
    X1 = X.copy()
    for i in K:
        if i == len(X)-1:
            X1[i] = X[i-1]
        else:
            X1[i] = 0.5 * (X[i-1] + X[i+1])
    return X1