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topcoder 694 A rigorous teacher makes all his students stand in a line before entering the classroom. Being a rigorous teacher, he makes the students line up in non-descending order by height. One time, while the students were lining up, the teacher had to go to the bathroom. The students took the opportunity to play with the teacher s head and make a crazy line. They defined the craziness of a line as the sum of the absolute difference in height between each pair of consecutive students. Since a line ordered by height has minimum craziness, they of course decided to arrange themselves in a line with maximum craziness.