A major bank has decided to establish a presence in a region of the state in which they previously had no presence. Specifically, four sites for branch banks have been identified.

The potential customer base has been divided into five major subdivisions. If a branch bank is located within 3 miles of a subdivision, then the subdivision is deemed to be covered. The matrix of cover coefficients is given below. Determine the minimum number of branch banks needed to cover the five major subdivisions.

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(ay) = 0 1 1 1 0 1 0 000 1 0010 1 10 1