The information of the problem is present in the screenshot attached below.  The solution to the code is this in python def solve(a, b, c, i):     MOD = 1000000007     if i == 0:         return a % MOD     if i == 1:         return b % MOD     if i == 2:         return c % MOD          def matrix_mult(A, B):         C = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]         for i in range(3):             for j in range(3):                 for k in range(3):                     C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD         return C          def matrix_pow(A, n):         if n == 1:             return A         if n % 2 == 0:             B = matrix_pow(A, n // 2)             return matrix_mult(B, B)         else:             B = matrix_pow(A, (n - 1) // 2)             return matrix_mult(matrix_mult(B, B), A)          T = [[1, 1, 1], [1, 0, 0], [0, 1, 0]]     res = matrix_pow(T, i-2)     return (res[0][0] * c + res[0][1] * b + res[0][2] * a) % MOD a, b, c, i = list(map(int, input().rstrip().split(" "))) print(solve(a, b, c, i)) I need an explanation of why the bold highlighted part of the code, more specifically the reason behind the values of the T matrices when initialized and the whole segment of code succeeding it.

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
icon
Related questions
Question

The information of the problem is present in the screenshot attached below. 

The solution to the code is this in python

def solve(a, b, c, i):
    MOD = 1000000007
    if i == 0:
        return a % MOD
    if i == 1:
        return b % MOD
    if i == 2:
        return c % MOD
    
    def matrix_mult(A, B):
        C = [[0, 0, 0], [0, 0, 0], [0, 0, 0]]
        for i in range(3):
            for j in range(3):
                for k in range(3):
                    C[i][j] = (C[i][j] + A[i][k] * B[k][j]) % MOD
        return C
    
    def matrix_pow(A, n):
        if n == 1:
            return A
        if n % 2 == 0:
            B = matrix_pow(A, n // 2)
            return matrix_mult(B, B)
        else:
            B = matrix_pow(A, (n - 1) // 2)
            return matrix_mult(matrix_mult(B, B), A)
    
    T = [[1, 1, 1], [1, 0, 0], [0, 1, 0]]
    res = matrix_pow(T, i-2)
    return (res[0][0] * c + res[0][1] * b + res[0][2] * a) % MOD


a, b, c, i = list(map(int, input().rstrip().split(" ")))
print(solve(a, b, c, i))

I need an explanation of why the bold highlighted part of the code, more specifically the reason behind the values of the T matrices when initialized and the whole segment of code succeeding it. 

Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Knowledge Booster
Random Class and its operations
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education