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31 Jul
2020

Consider a rectangular grid (width x height) in which it is possible, at each turn, to move from one square to another adjacent square

Category:ACADEMICIAN

SOLUTION AT Australian Expert Writers

Consider a rectangular grid (width x height) in which it is possible, at each turn, to move from one square to another adjacentsquare. When KingMode=false, one can move only up, down, left and right, whereas when KingMode=true, one can alsomove in the four diagonal directions. One wishes to go from the source (start point) to the target (end point) in a minimumnumber of moves. Obviously, regardless of the value of KingMode, one must stay within the boundaries of the grid. Theupper left-hand corner is considered (1,1) and the bottom right-hand corner is considered (w, h) where w is the width and his the height.Some of the squares in the grid, however, will already have people in them, and due to “social distancing” concerns, it isforbidden to enter those squares, and one will need to move around them. A list of these squares will be provided as partof the input.The goal of the assignment is to compare different algorithmic methods for finding a low-cost path between the source andtarget. Note that some approaches may find the true optimal path, whereas others may approximate the answer usingheuristics, randomization, or other techniques.

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