You are given a sequence of integers A1, A2, ..., AN and an integer M. For any valid integers p, q, let's define F(p, q) as the dot product of the subsequences Ap, Ap+1, · . . , Ap+M–1 and Aq, Aq+1,• .. , Aq+M-1, İ.e. F(p, q) = Eo" Ap+i ' Aq+i- M-1 You should process Q queries. In each query: • You are given two integers pos and val. Change the value of Apos to val. • Then, find the sum S = EM+EM+1 F(i, j). Since this sum could Zuj-1 be very large, compute it modulo 998, 244, 353.

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