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-\sum_{i=1}^M\left(P_i\log_rq_i-P_i\log_rP_i\right)=-\sum_{i=1}^M\left(P_i\log\frac{q_i}{P_i}\right)
q_i=P_i(i=1,2,...,M)
-\sum_{i=1}^MP_i\log_rq_i\ge-\sum_{i=1}^MP_i\log_rP_i=H(s)
q_1+q_2+...+q_M\le1
H(s)=-\sum_{i=1}^MP_i\log_rPi