//  $Id
//
//  Copyright (C) 2005-2006 Rational Discovery LLC
//
//   @@ All Rights Reserved  @@
//
char numByteOnBits[]={
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
};

char byteByteDistMat[]={
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  4,5,5,6,5,6,6,7,5,6,6,7,6,7,7,8,3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,4,5,5,6,5,6,6,7,2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  2,3,3,4,3,4,4,5,3,4,4,5,4,5,5,6,1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,
  1,2,2,3,2,3,3,4,2,3,3,4,3,4,4,5,0,1,1,2,1,2,2,3,1,2,2,3,2,3,3,4,
  5,4,6,5,6,5,7,6,6,5,7,6,7,6,8,7,4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,5,4,6,5,6,5,7,6,3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  3,2,4,3,4,3,5,4,4,3,5,4,5,4,6,5,2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,
  2,1,3,2,3,2,4,3,3,2,4,3,4,3,5,4,1,0,2,1,2,1,3,2,2,1,3,2,3,2,4,3,
  5,6,4,5,6,7,5,6,6,7,5,6,7,8,6,7,4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,5,6,4,5,6,7,5,6,3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  3,4,2,3,4,5,3,4,4,5,3,4,5,6,4,5,2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,
  2,3,1,2,3,4,2,3,3,4,2,3,4,5,3,4,1,2,0,1,2,3,1,2,2,3,1,2,3,4,2,3,
  6,5,5,4,7,6,6,5,7,6,6,5,8,7,7,6,5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,6,5,5,4,7,6,6,5,4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  4,3,3,2,5,4,4,3,5,4,4,3,6,5,5,4,3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,
  3,2,2,1,4,3,3,2,4,3,3,2,5,4,4,3,2,1,1,0,3,2,2,1,3,2,2,1,4,3,3,2,
  5,6,6,7,4,5,5,6,6,7,7,8,5,6,6,7,4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,5,6,6,7,4,5,5,6,3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  3,4,4,5,2,3,3,4,4,5,5,6,3,4,4,5,2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,
  2,3,3,4,1,2,2,3,3,4,4,5,2,3,3,4,1,2,2,3,0,1,1,2,2,3,3,4,1,2,2,3,
  6,5,7,6,5,4,6,5,7,6,8,7,6,5,7,6,5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,6,5,7,6,5,4,6,5,4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  4,3,5,4,3,2,4,3,5,4,6,5,4,3,5,4,3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,
  3,2,4,3,2,1,3,2,4,3,5,4,3,2,4,3,2,1,3,2,1,0,2,1,3,2,4,3,2,1,3,2,
  6,7,5,6,5,6,4,5,7,8,6,7,6,7,5,6,5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,6,7,5,6,5,6,4,5,4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  4,5,3,4,3,4,2,3,5,6,4,5,4,5,3,4,3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,
  3,4,2,3,2,3,1,2,4,5,3,4,3,4,2,3,2,3,1,2,1,2,0,1,3,4,2,3,2,3,1,2,
  7,6,6,5,6,5,5,4,8,7,7,6,7,6,6,5,6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,7,6,6,5,6,5,5,4,5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  5,4,4,3,4,3,3,2,6,5,5,4,5,4,4,3,4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,
  4,3,3,2,3,2,2,1,5,4,4,3,4,3,3,2,3,2,2,1,2,1,1,0,4,3,3,2,3,2,2,1,
  5,6,6,7,6,7,7,8,4,5,5,6,5,6,6,7,4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  4,5,5,6,5,6,6,7,3,4,4,5,4,5,5,6,3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  3,4,4,5,4,5,5,6,2,3,3,4,3,4,4,5,2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,
  2,3,3,4,3,4,4,5,1,2,2,3,2,3,3,4,1,2,2,3,2,3,3,4,0,1,1,2,1,2,2,3,
  6,5,7,6,7,6,8,7,5,4,6,5,6,5,7,6,5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  5,4,6,5,6,5,7,6,4,3,5,4,5,4,6,5,4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  4,3,5,4,5,4,6,5,3,2,4,3,4,3,5,4,3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,
  3,2,4,3,4,3,5,4,2,1,3,2,3,2,4,3,2,1,3,2,3,2,4,3,1,0,2,1,2,1,3,2,
  6,7,5,6,7,8,6,7,5,6,4,5,6,7,5,6,5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  5,6,4,5,6,7,5,6,4,5,3,4,5,6,4,5,4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  4,5,3,4,5,6,4,5,3,4,2,3,4,5,3,4,3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,
  3,4,2,3,4,5,3,4,2,3,1,2,3,4,2,3,2,3,1,2,3,4,2,3,1,2,0,1,2,3,1,2,
  7,6,6,5,8,7,7,6,6,5,5,4,7,6,6,5,6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  6,5,5,4,7,6,6,5,5,4,4,3,6,5,5,4,5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  5,4,4,3,6,5,5,4,4,3,3,2,5,4,4,3,4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,
  4,3,3,2,5,4,4,3,3,2,2,1,4,3,3,2,3,2,2,1,4,3,3,2,2,1,1,0,3,2,2,1,
  6,7,7,8,5,6,6,7,5,6,6,7,4,5,5,6,5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  5,6,6,7,4,5,5,6,4,5,5,6,3,4,4,5,4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  4,5,5,6,3,4,4,5,3,4,4,5,2,3,3,4,3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,
  3,4,4,5,2,3,3,4,2,3,3,4,1,2,2,3,2,3,3,4,1,2,2,3,1,2,2,3,0,1,1,2,
  7,6,8,7,6,5,7,6,6,5,7,6,5,4,6,5,6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  6,5,7,6,5,4,6,5,5,4,6,5,4,3,5,4,5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  5,4,6,5,4,3,5,4,4,3,5,4,3,2,4,3,4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,
  4,3,5,4,3,2,4,3,3,2,4,3,2,1,3,2,3,2,4,3,2,1,3,2,2,1,3,2,1,0,2,1,
  7,8,6,7,6,7,5,6,6,7,5,6,5,6,4,5,6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  6,7,5,6,5,6,4,5,5,6,4,5,4,5,3,4,5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  5,6,4,5,4,5,3,4,4,5,3,4,3,4,2,3,4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,
  4,5,3,4,3,4,2,3,3,4,2,3,2,3,1,2,3,4,2,3,2,3,1,2,2,3,1,2,1,2,0,1,
  8,7,7,6,7,6,6,5,7,6,6,5,6,5,5,4,7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  7,6,6,5,6,5,5,4,6,5,5,4,5,4,4,3,6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  6,5,5,4,5,4,4,3,5,4,4,3,4,3,3,2,5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,
  5,4,4,3,4,3,3,2,4,3,3,2,3,2,2,1,4,3,3,2,3,2,2,1,3,2,2,1,2,1,1,0,
};