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There are n undergraduate students and k departments at some university. The Student Senate must have k students, one from each department. It also

 

There are n undergraduate students and k departments at some university. The Student Senate must have k students, one from each department. It also should have k freshmen, k sophomores, kg juniors, and k seniors where k+k2+k3+k4=k. The task is to decide if the Student Senate can be formed. If it can be formed, find a solution with k students. Design an algorithm for this task using max flow.

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