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 · 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. N-M+1N-M+1 Lj=1 • Then, find the sum S = E1 F(i, j). Develop a python code that prints a single line containing one integer S % 99900 Sample Input: 321 321 32 Output: 49
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 · 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. N-M+1N-M+1 Lj=1 • Then, find the sum S = E1 F(i, j). Develop a python code that prints a single line containing one integer S % 99900 Sample Input: 321 321 32 Output: 49
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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Computer Science Question
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F36fa42d1-e320-4eb8-928e-02209e07df11%2Fcd52df30-2a85-4762-9497-c90f74ce392e%2F0ny6x1t_processed.jpeg&w=3840&q=75)
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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