output_description: Print N lines. The i-th line should contain the expected value of the
  coordinate of the eventual position of rabbit i after K sets are performed.
  The output is considered correct if the absolute or relative error is at most
  10^{-9}.
  
  * * *
input_description: The input is given from Standard Input in the following format:
  
      
      
      N
      x_1 x_2 ... x_N
      M K
      a_1 a_2 ... a_M
attempt: N = int(input())
  X = list(map(int, input().split()))
  M, K = map(int, input().split())
  A = list(map(int, input().split()))
  
  K = K % M + 1
  
  arr = [X[:]]
  for k in range(K):
      for a in A:
          temp = []
          for ar in arr:
              tmp1 = ar[:]
              tmp1[a - 1] = tmp1[a - 2] * 2 - tmp1[a - 1]
              temp.append(tmp1)
              tmp2 = ar[:]
              tmp2[a - 1] = tmp2[a] * 2 - tmp2[a - 1]
              temp.append(tmp2)
          arr = temp
      ans = [0 for i in range(N)]
      L = len(arr)
      for ar in arr:
          for i in range(N):
              ans[i] += ar[i] / L
      arr = [ans]
  for ar in arr[0]:
      print(ar)
  
problem_description: Statement
  
  There are N rabbits on a number line. The rabbits are conveniently numbered 1
  through N. The coordinate of the initial position of rabbit i is x_i.
  
  The rabbits will now take exercise on the number line, by performing _sets_
  described below. A set consists of M _jumps_. The j-th jump of a set is
  performed by rabbit a_j (2≤a_j≤N-1). For this jump, either rabbit a_j-1 or
  rabbit a_j+1 is chosen with equal probability (let the chosen rabbit be rabbit
  x), then rabbit a_j will jump to the symmetric point of its current position
  with respect to rabbit x.
  
  The rabbits will perform K sets in succession. For each rabbit, find the
  expected value of the coordinate of its eventual position after K sets are
  performed.
samples: [{"input": "3\n    -1 0 2\n    1 1\n    2", "output": "-1.0\n    1.0\n    2.0\n    \n\nRabbit 2 will perform the jump. If rabbit 1 is chosen, the coordinate of the\ndestination will be -2. If rabbit 3 is chosen, the coordinate of the\ndestination will be 4. Thus, the expected value of the coordinate of the\neventual position of rabbit 2 is 0.5\u00d7(-2)+0.5\u00d74=1.0.\n\n* * *"}, {"input": "3\n    1 -1 1\n    2 2\n    2 2", "output": "1.0\n    -1.0\n    1.0\n    \n\nx_i may not be distinct.\n\n* * *"}, {"input": "5\n    0 1 3 6 10\n    3 10\n    2 3 4", "output": "0.0\n    3.0\n    7.0\n    8.0\n    10.0"}]