2. A certain Institution has seven major offices within its compound. The records office' staff of the Institution has document deliveries scheduled everyday between certain offices. In the graph below, an edge between vertices, indicates that there is a delivery service between the corresponding offices. Use Dirac's theorem to answer the following question. Using the Institution's existing delivery service, is it possible to route a document to all the offices and return the document to its originating office without sending it through the same office twice? E

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