Python Programming Problem: 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 * Aqti- 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 = E" = N-M+1 N-M+1 F(i, j). Since this sum could Lj=1 be very large, compute it modulo 998, 244, 353. Test Case Result 310 64 271 25

What is the function of a router in the OSI model, and which layer does it primarily operate in?

1. A. Convert A5Q(27)→ X(9) 2. Simplify the Karnaugh maps and draw the logic circuit. AB 00 01 11 10 CD 00 1 1 1 1 01 1 1 11 1 1 10 1 1 11 1 AB 00 01 11 10 CD 00 1 1 01 11 1 1 10 11 11 1 1

Using MATLAB functions poly and polyder, compute the relative condition numbers of the roots 1, 2, ..., 20 of the Wilkinson polynomial 20 w(x) = (x1)(x-2)(x - 20) = x²0 210x¹⁹+... 19 with respect to perturbation of the coefficient of 2x¹⁹, a19, from -210 to -210+2-23 Present your results in a tabular form and write your conclusion on the ill-conditioninig of the Wilkinson polynomial. (Recall: condition number for the jth root is kj |a₁x²=1| \w'(x₂)

Comp Architecture Problem 6

Hw Joing 2's complement Solve 25 -10 2. -12