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ven a sequence of integers A1, A2,..., AN and a lid integers p, q, let's define F(p, q) as the dot pro nces Ap, Ap+1,..., Ap+M-1 and Aq, Aq+1,… . ., Eo Apti · Agti- M-1 d process Q queries. In each query:

ven a sequence of integers A1, A2,..., AN and a lid integers p, q, let's define F(p, q) as the dot pro nces Ap, Ap+1,..., Ap+M-1 and Aq, Aq+1,… . ., Eo Apti · Agti- M-1 d process Q queries. In each query:

Operations Research : Applications and Algorithms
Operations Research : Applications and Algorithms
4th Edition
ISBN:9780534380588
Author:Wayne L. Winston
Publisher:Wayne L. Winston
Chapter2: Basic Linear Algebra
Section: Chapter Questions
Problem 15RP
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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 Apti · 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 = N-M+1N-M+1 Li=1 Lj=1 F(i, j). %3D Develop a python code that prints a single line containing one integer S % 999000000 Sample Input: 321 321 32 Output: 49
Transcribed Image Text: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 Apti · 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 = N-M+1N-M+1 Li=1 Lj=1 F(i, j). %3D Develop a python code that prints a single line containing one integer S % 999000000 Sample Input: 321 321 32 Output: 49
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