Computer Science There is an n × n grid of squares. Each square is either special, or has a positive integer cost assigned to it. No square on the border of the grid is special. A set of squares S is said to be good if it does not contain any special squares and, starting from any special square, you cannot reach a square on the border of the grid by performing up, down, left and right moves without entering a cell belonging to S. 5 3 4 9 4 X 3 6 1 9 X 4 1 2 3 5 - Design an algorithm which receives an arbitrary n × n grid, runs in time poly- nomial in n and determines a good set of squares with minimum total cost.

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter8: Arrays And Strings
Section: Chapter Questions
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Computer Science

There is an n × n grid of squares. Each square is either special, or has a positive integer cost
assigned to it. No square on the border of the grid is special.
A set of squares S is said to be good if it does not contain any special squares and, starting from
any special square, you cannot reach a square on the border of the grid by performing up, down,
left and right moves without entering a cell belonging to S.

5 3 4 9
4 X 3 6
1 9 X 4
1 2 3 5

- Design an algorithm which receives an arbitrary n × n grid, runs in time poly-
nomial in n and determines a good set of squares with minimum total cost.

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