A solid cube of mass \( m \) at a temperature \( \theta_0 \) is heated at a constant rate. It becomes liquid at temperature \( \theta_1 \), and vapor at temperature \( \theta_2 \). Let \( s_1 \) and \( s_2 \) be specific heats in its solid and liquid states respectively. If \( L \) and \( L_v \) are latent heats of fusion and vaporization respectively, then the minimum heat energy supplied to the cube until it vaporises is