3 Problem 3 (20 points) Together with some anthropologists, you're studying a sparsely populated region of a rain forest, where 50 farmers live along a 50-mile-long stretch of river. Each farmer lives on a tract of land that occupies a lmile stretch of the river bank, so their tracts exactly divide up the 50 miles of river bank that they collectively cover. (The numbers are chosen to be simple and to make the story easy to describe.) The farmers all know each other, and after interviewing them, you've discovered that each farmer is friends with all the other farmers that live at most 20 miles from him or her, and is enemies with all the farmers that live more than 20 miles from him or her. You build the signed complete graph corresponding to this social network, and you wonder whether it satises the Structural Balance property. This is the question: is the network structurally balanced or not? Provide an explanation for your