A box contains 50 noninteracting distinguishable particles. Each particle is in one of two energy levels, E = 0 or E = 1. Define the "spin excess" s = (N0 N1)/2, where N0 particles have energy E = 0 and N1 particles have energy E = 1. (a) Make a table with headings s,U, and g, where U is the total energy and g is the multiplicity of states. Fill in the table for s = 0 to s = 5. (b) Make a careful sketch of the shape of the function g versus s over the allowed range of s