A quantum system described by a Hamiltonian H is in the state lw>=N $|1>l2>+%(1+2i)|3)+\\5l4) , where lqn) are the eigenstates of energy such that qun) = nEglqn), EU has units of energy, and N E R. (a) Find a suitable scalar N such that M) is normalized. (b) Let the energy of lip) be measured. Give all possible measurement results and their corresponding probabilities. Assume that the measurement is ideal, i.e., no measurement errors occur