output_description: Print the maximum total happiness points the children can earn.
  
  * * *
input_description: Input is given from Standard Input in the following format:
  
      
      
      N
      A_1 A_2 ... A_N
attempt: N = int(input())
  As = list(map(int, input().split()))
  preans = []
  for n in range(N):
      preans.append([n, As[n]])
  preans.append(preans.pop(0))
  judge = 0
  while judge == 0:
      for _ in range(N - 1):
          for n in range(N - 1):
              if abs(preans[n][0] - n) >= abs(preans[n][0] - (n + 1)):
                  ans1 = -preans[n][1]
              else:
                  ans1 = preans[n][1]
              if abs(preans[n + 1][0] - (n + 1)) >= abs(preans[n + 1][0] - n):
                  ans2 = -preans[n + 1][1]
              else:
                  ans2 = preans[n + 1][1]
              # print(ans1, ans2)
              if ans1 + ans2 >= 0:
                  preans[n], preans[n + 1] = preans[n + 1], preans[n]
              else:
                  judge = 1
                  continue
  ans = 0
  # print(preans)
  for n in range(N):
      num = abs(preans[n][0] - n)
      ans += num * preans[n][1]
  print(ans)
  
problem_description: Statement
  
  There are N children standing in a line from left to right. The activeness of
  the i-th child from the left is A_i.
  
  You can rearrange these children just one time in any order you like.
  
  When a child who originally occupies the x-th position from the left in the
  line moves to the y-th position from the left, that child earns A_x \times
  |x-y| happiness points.
  
  Find the maximum total happiness points the children can earn.
samples: [{"input": "4\n    1 3 4 2", "output": "20\n    \n\nIf we move the 1-st child from the left to the 3-rd position from the left,\nthe 2-nd child to the 4-th position, the 3-rd child to the 1-st position, and\nthe 4-th child to the 2-nd position, the children earns 1 \\times |1-3|+3\n\\times |2-4|+4 \\times |3-1|+2 \\times |4-2|=20 happiness points in total.\n\n* * *"}, {"input": "6\n    5 5 6 1 1 1", "output": "58\n    \n\n* * *"}, {"input": "6\n    8 6 9 1 2 1", "output": "85"}]