Sticks

The room of requirement have 'n' number of students numbered 1 to n , sitting at i-th point in the plane of the room in such way that no three students were in a straight line . Also each student at i-th point initially has ci score, in such a way that the scores c1,c2,…,cn form a permutation of 1,2,…,n. You can modify the scores through the following operation: 1.Choose two distinct student