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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, i.e. F(p, q) = E Apti · Aqti- M-1 vi=0 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 Li=1 Lj-1"" F(i, j).

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, i.e. F(p, q) = E Apti · Aqti- M-1 vi=0 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 Li=1 Lj-1"" F(i, j).

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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Computer science

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, i.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 = SN-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, i.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 = SN-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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