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.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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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 · Aq+i-
M-1
i=0
You should process Q queries. In each query:
• You are given two integers pos and val. Change the value of Apos to val.
N-M+1 N-M+1
• Then, find the sum S = E
N
F(i, j). Since this sum could
be very large, compute it modulo 998, 244, 353.
Test Case
Result
310
64
271
25
Transcribed Image Text: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 · Aq+i- M-1 i=0 You should process Q queries. In each query: • You are given two integers pos and val. Change the value of Apos to val. N-M+1 N-M+1 • Then, find the sum S = E N F(i, j). Since this sum could be very large, compute it modulo 998, 244, 353. Test Case Result 310 64 271 25
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