Problem 2. You are given an n x n matrix and a set of k cells (i1, j1),..., (ik, jk) on this matrix. We say that this set of cells can escape the matrix if: (1) we can find a path from each cell to any arbitrary boundary cell of the matrix (a path is a sequence of neighboring cells, namely, top, bottom, left, and right), (2) these paths are all disjoint, namely, no cell is used in more than one of these paths. See Figure 1: Design an O(³) time algorithm that given the matrix and the input cells, determines whether these cells can escape the matrix (together) or not'.
Problem 2. You are given an n x n matrix and a set of k cells (i1, j1),..., (ik, jk) on this matrix. We say that this set of cells can escape the matrix if: (1) we can find a path from each cell to any arbitrary boundary cell of the matrix (a path is a sequence of neighboring cells, namely, top, bottom, left, and right), (2) these paths are all disjoint, namely, no cell is used in more than one of these paths. See Figure 1: Design an O(³) time algorithm that given the matrix and the input cells, determines whether these cells can escape the matrix (together) or not'.
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
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Transcribed Image Text:Problem 2. You are given an n x n matrix and a set of k cells (i1, j1),..., (ik, jk) on this matrix. We
say that this set of cells can escape the matrix if: (1) we can find a path from each cell to any arbitrary
boundary cell of the matrix (a path is a sequence of neighboring cells, namely, top, bottom, left, and right),
(2) these paths are all disjoint, namely, no cell is used in more than one of these paths. See Figure 1:
Design an O(³) time algorithm that given the matrix and the input cells, determines whether these cells
can escape the matrix (together) or not'.
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