Consider 60 particles at constant temperature T occupying 4 equally spaced energy states with the energy splitting of 125.2589 cm^-1, so that for the configuration A there are 31 particles at the state E₀, 17 at the state E₁, 9 at the state E₂ and 3 at the state E₃, while for the configuration B there are 32 particles at the state E₀, 16 at the state E₁, 8 at the state E₂ and 4 at the state E₃. Assuming the Boltzmann distribution and using the Boltzmann constant k=0.69504 cm^-1/K, the temperature of sample [X] is [X1] K, independent on the occupation numbers used for these calculations. In contrast, the temperature of the sample [Y] varies with the ratio of the occupation numbers, so that a₃/a₀ provides T= [Y1] K, a₂/a₀ provides T= [Y2] K, and a₁/a₀ provides T= [Y3] K, which means that it does not follow the Boltzmann probability distribution. Round all your answers up to 3 significant figures.

X X! Y Y1 Y2 and Y3 please