IMPORTANT: For part 3, implement an iterative dynamic programming solution. You are driving from Canada to Mexico and you are trying to decide the route you want to take. The grid of possible routes you can take is represented by a nxn matrix of integers (List[List[Integer]]). Each integer in the matrix represents the amount you would have to pay in tolls at that location. You can start from any of the locations in the top (0th) row, and your goal is to get to any of the locations in the bottom row. You can only move down one row at a time, in three directions (directly below, or below and diagonally left/right). Specifically the next element from position (row, col) must be one of the following: (row + 1, col), (row + 1, col + 1), (row + 1, col - 1) Return the minimum amount of tolls you will have to pay. For part 3, implement an iterative dynamic programming solution. Input Format One Parameter • toll_matrix: A n xn matrix of integers, where each integer represents the amount of tolls you would have to pay if you pass through that location.
IMPORTANT: For part 3, implement an iterative dynamic programming solution. You are driving from Canada to Mexico and you are trying to decide the route you want to take. The grid of possible routes you can take is represented by a nxn matrix of integers (List[List[Integer]]). Each integer in the matrix represents the amount you would have to pay in tolls at that location. You can start from any of the locations in the top (0th) row, and your goal is to get to any of the locations in the bottom row. You can only move down one row at a time, in three directions (directly below, or below and diagonally left/right). Specifically the next element from position (row, col) must be one of the following: (row + 1, col), (row + 1, col + 1), (row + 1, col - 1) Return the minimum amount of tolls you will have to pay. For part 3, implement an iterative dynamic programming solution. Input Format One Parameter • toll_matrix: A n xn matrix of integers, where each integer represents the amount of tolls you would have to pay if you pass through that location.
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
Related questions
Question
Python3
![Input Format
One Parameter
• toll_matrix: A n x n matrix of integers, where each
integer represents the amount of tolls you would
have to pay if you pass through that location.
Parameter Size and Constraints:
• 1<= n <= 1000 (matrix will be no larger than 1000 x
1000)
• 0 <= matrix [i][j] <= 100
Example:
Input
[2, 1, 3],
[6, 5, 4],
[7,8, 9]
Output: 13
1
Explanation:
22
[2, 1, 3],
[2, 1, 3],
[6, 5, 41,
[7, 8, 9]]
23
[6, 5, 4],
[7, 8, 9]]
24
There are two paths that cost $13 in tolls.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faacefc5a-4252-495e-9bf0-d7613f3d72b3%2F42626b90-7186-4297-b25e-558518d7e964%2Fnnog68g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Input Format
One Parameter
• toll_matrix: A n x n matrix of integers, where each
integer represents the amount of tolls you would
have to pay if you pass through that location.
Parameter Size and Constraints:
• 1<= n <= 1000 (matrix will be no larger than 1000 x
1000)
• 0 <= matrix [i][j] <= 100
Example:
Input
[2, 1, 3],
[6, 5, 4],
[7,8, 9]
Output: 13
1
Explanation:
22
[2, 1, 3],
[2, 1, 3],
[6, 5, 41,
[7, 8, 9]]
23
[6, 5, 4],
[7, 8, 9]]
24
There are two paths that cost $13 in tolls.
![IMPORTANT: For part 3, implement an iterative
dynamic programming solution.
You are driving from Canada to Mexico and you are
trying to decide the route you want to take. The
grid of possible routes you can take is represented
by a nxn matrix of integers (List[List[Integer]]).
Each integer in the matrix represents the amount
you would have to pay in tolls at that location. You
can start from any of the locations in the top (0th)
your goal is to get to any of the locations
in the bottom row. You can only move down one
row,
and
row at a time, in three directions (directly below, or
below and diagonally left/right). Specifically the
next element from position (row, col) must be one
of the following: (row + 1, col), (row + 1, col + 1),
(row + 1, col - 1)
Return the minimum amount of tolls
you
will have
to pay.
For part 3, implement an iterative dynamic
programming solution.
Input Format
One Parameter
• toll_matrix: A n xn matrix of integers, where each
integer represents the amount of tolls you would
have to pay if you pass through that location.
22
******](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faacefc5a-4252-495e-9bf0-d7613f3d72b3%2F42626b90-7186-4297-b25e-558518d7e964%2Fs9ykp7t_processed.jpeg&w=3840&q=75)
Transcribed Image Text:IMPORTANT: For part 3, implement an iterative
dynamic programming solution.
You are driving from Canada to Mexico and you are
trying to decide the route you want to take. The
grid of possible routes you can take is represented
by a nxn matrix of integers (List[List[Integer]]).
Each integer in the matrix represents the amount
you would have to pay in tolls at that location. You
can start from any of the locations in the top (0th)
your goal is to get to any of the locations
in the bottom row. You can only move down one
row,
and
row at a time, in three directions (directly below, or
below and diagonally left/right). Specifically the
next element from position (row, col) must be one
of the following: (row + 1, col), (row + 1, col + 1),
(row + 1, col - 1)
Return the minimum amount of tolls
you
will have
to pay.
For part 3, implement an iterative dynamic
programming solution.
Input Format
One Parameter
• toll_matrix: A n xn matrix of integers, where each
integer represents the amount of tolls you would
have to pay if you pass through that location.
22
******
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