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1-4- The following figure shows a map of an area with 15 villages {A, B, C, ..., O} and the roads between them. The


1-4- The following figure shows a map of an area with 15 villages {A, B, C, ..., O} and the roads between them. The numbers on the roads indicate the distance between the villages in kilometers. The government wants to build hospitals in some of these villages, in such a way that the distance between each village and the nearest hospital does not exceed 10 kilometers. The government is interested in building the minimum number of hospitals due to its budget limitations. How many hospitals should the government build and where exactly should the hospitals be located? (6 points) D 5 4 8 7 H M N 5 3

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