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Aliyah is trying to represent the 5 5 grid as a graph to help her find a solution. She constructs an undirected graph G =

Aliyah is trying to represent the 5 5 grid as a graph to help her find a solution. She constructs an undirected graph G = (V, E) with ten vertices V = {r1, . . . , r5, c1, . . . , c5}. The five vertices r1, . . . , r5 represent the rows and the five vertices c1, . . . , c5 represent the columns. For each i, j {1, . . . , 5}, Aliyah includes the edge {ri , cj} in E if and only if the block of the 5 5 grid in the i th row from the top and j th column from the left is blank. Draw the graph G that Aliyah constructed. (c) Find an Eulerian tour in the graph G

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