Consider a maze represented by a matrix of m rows and n columns with obstacles (see the figure below). A cell with a value = -1 is an obstacle that cannot be overcome. The goal is to start from cell [0, 0] and reach the last cell [m-1, n-1]. This may be possible by taking several paths. Count the number of these paths. The movement is allowed from cells (i+ 1, j) and (i, j+ 1) only.

Computer Networking: A Top-Down Approach (7th Edition)
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Author:James Kurose, Keith Ross
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Chapter1: Computer Networks And The Internet
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Consider a maze represented by a matrix of m rows and n
columns with obstacles (see the figure below). A cell with a
value = -1 is an obstacle that cannot be overcome.
The goal is to start from cell [0, 0] and reach the last cell [m-1,
n-1]. This may be possible by taking several paths. Count the
number of these paths.
The movement is allowed from cells (i+ 1, j) and (i, j+ 1) only.
-1
-1
Provide two solutions, one iterative and one recursive to the
above problem.
Transcribed Image Text:Consider a maze represented by a matrix of m rows and n columns with obstacles (see the figure below). A cell with a value = -1 is an obstacle that cannot be overcome. The goal is to start from cell [0, 0] and reach the last cell [m-1, n-1]. This may be possible by taking several paths. Count the number of these paths. The movement is allowed from cells (i+ 1, j) and (i, j+ 1) only. -1 -1 Provide two solutions, one iterative and one recursive to the above problem.
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