orders:=
[ 850305600, 22674816, 5668704, 2519424, 2099520, 4199040, 5668704, 1889568, 314928, 314928, 52488, 314928, 17496, 419904, 23328, 209952, 69984, 11664, 1944, 7776, 2592, 
  5832, 648, 58320, 3888, 93312, 15552, 3888, 1296, 15552, 1728, 2592, 432, 7776, 2592, 69984, 23328, 7776, 1944, 1944, 15552, 5184, 1296, 2592, 432, 864, 648, 349920, 
  116640, 2592, 116640, 38880, 10368, 2592, 1944, 944784, 52488, 524880, 69984, 5832, 23328, 34992, 69984, 15552, 23328, 2916, 1296, 648, 2592, 25920, 2592, 216, 216, 432, 
  1296, 324, 2519424, 2099520, 209952, 69984, 69984, 46656, 15552, 77760, 4199040, 349920, 116640, 116640, 38880, 77760, 25920, 129600, 43200, 209952, 23328, 93312, 15552, 
  15552, 5184, 23328, 7776, 7776, 2592, 31104, 10368, 10368, 3456, 34992, 10368, 2592, 2592, 7776, 2592, 1296, 1296, 10368, 3456, 1728, 1728, 46656, 3888, 5184, 864, 3888, 
  1296, 46656, 7776, 2592, 864, 3888, 1296, 314928, 314928, 17496, 69984, 11664, 11664, 34992, 69984, 11664, 7776, 34992, 5832, 3888, 46656, 7776, 5184, 23328, 5832, 3888, 
  1296, 1296, 1296, 1296, 1296, 1944, 648, 648, 648, 648, 648, 2592, 864, 864, 864, 864, 864, 7776, 2592, 69984, 7776, 3888, 1296, 2592, 864, 23328, 7776, 3888, 1296, 2592, 
  864, 5832, 648, 648, 2592, 1296, 432, 648, 648, 216, 216, 3888, 5832, 648, 2592, 432, 648, 216, 648, 216, 3888, 104976, 5832, 2916, 216, 432, 108, 108, 972, 108, 648, 
  324, 144, 162, 72, 162, 72, 648, 216, 108, 108, 104976, 34992, 3888, 11664, 324, 972, 432, 144, 972, 108, 972, 324, 69984, 69984, 7776, 11664, 15552, 1728, 2592, 7776, 
  864, 1296, 10368, 1152, 1728, 2592, 1296, 864, 864, 432, 5184, 432, 864, 432, 864, 144, 288, 144, 2592, 288, 72, 279936, 20736, 2592, 3456, 933120, 15552, 3456, 1728, 
  2304, 432, 1728, 1296, 1296, 1296, 144, 432, 648, 72, 72, 288, 144, 144, 48, 48, 48, 48, 72, 72, 24, 24, 72, 72, 24, 24, 72, 72, 24, 24, 216, 864, 24, 72, 
  36, 36, 12, 12, 1296, 1296, 1296, 144, 864, 648, 72, 576, 48, 144, 144, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24, 216, 864, 72, 12, 12, 36, 36, 432, 432, 432, 144, 144, 
  144, 144, 216, 144, 72, 72, 72, 72, 192, 48, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 72, 288, 12, 12, 12, 12, 12, 12, 12, 12, 648, 648, 648, 72, 864, 216, 144, 72, 72, 72, 144, 288, 72, 48, 24, 24, 24, 72, 72, 72, 72, 72, 24, 24, 24, 24, 
  72, 72, 24, 24, 24, 24, 108, 432, 36, 12, 648, 648, 648, 72, 432, 648, 72, 72, 72, 72, 144, 288, 24, 24, 24, 24, 72, 72, 72, 24, 24, 24, 24, 24, 
  24, 24, 24, 108, 432, 12, 36, 216, 216, 216, 72, 72, 72, 288, 72, 144, 72, 72, 72, 72, 72, 72, 72, 72, 96, 96, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 36, 144, 24, 216, 216, 216, 72, 72, 72, 144, 216, 72, 72, 72, 144, 72, 72, 144, 72, 72, 96, 96, 48, 24, 
  24, 24, 24, 24, 24, 24, 24, 36, 144, 69984, 17496, 3888, 7776, 648, 432, 23328, 972, 648, 69984, 3888, 2592, 5184, 432, 288, 3888, 648, 432, 216, 144, 72, 288, 72, 72, 
  72, 864, 72, 144, 144, 144, 36, 36, 36, 288, 36, 72, 216, 36, 36, 36, 72, 72, 36, 288, 48, 192, 48, 48, 192, 48, 48, 96, 48, 96, 48, 24, 24, 24, 
  48, 24, 24, 48, 24, 48, 48, 24, 24, 24, 48, 24, 24, 48, 24, 48, 11664, 2592, 3888, 324, 38880, 1296, 864, 46656, 2592, 1728, 1296, 216, 144, 5184, 864, 576, 972, 972, 
  108, 216, 108, 108, 36, 1296, 324, 216, 108, 108, 108, 432, 216, 36, 1296, 72, 72, 72, 72, 72, 24, 24, 24, 24, 216, 216, 216, 216, 72, 72, 72, 72, 216, 72, 
  72, 24, 324, 216, 108, 144, 36, 36, 36, 1296, 108, 216, 216, 288, 432, 144, 72, 48, 24, 24, 24, 48, 24, 24, 48, 24, 48, 144, 72, 72, 72, 144, 72, 72, 144, 72, 144, 
  144, 24, 48, 24, 1296, 864, 432, 48, 2592, 432, 216, 1296, 1296, 24, 24, 48, 48, 72, 72, 36, 36, 72, 72, 2592, 576, 3456, 288, 864, 5184, 144, 96, 864, 144, 96, 648, 
  36, 24, 432, 432, 48, 288, 144, 144, 48, 216, 24, 24, 108, 12, 36, 12, 12, 36, 36, 12, 12, 12, 12, 12, 12, 12, 144, 96, 48, 48, 48, 48, 288, 72, 144, 
  72, 72, 24, 24, 12, 12, 24, 24, 24, 12, 12, 24, 12, 24, 1944, 432, 864, 3888, 108, 72, 648, 648, 72, 648, 324, 36, 36, 36, 216, 144, 72, 432, 432, 108, 216, 104976, 
  34992, 15552, 3888, 3888, 5832, 23328, 3888, 1296, 1296, 1944, 11664, 7776, 1296, 1296, 1296, 648, 1944, 23328, 3888, 1944, 1944, 2916, 11664, 5832, 1944, 648, 1296, 648, 
  324, 972, 5832, 3888, 648, 648, 648, 648, 324, 972, 2592, 1296, 7776, 1296, 648, 3888, 3888, 2592, 432, 1728, 864, 432, 216, 216, 432, 432, 432, 864, 432, 432, 432, 216, 
  216, 432, 432, 1296, 648, 1296, 324, 324, 972, 324, 216, 432, 432, 216, 216, 108, 108, 108, 108, 108, 108, 108, 108, 648, 216, 216, 216, 216, 216, 108, 108, 108, 108, 
  108, 108, 108, 108, 648, 3888, 5832, 648, 216, 216, 324, 7776, 864, 432, 216, 648, 288, 144, 144, 144, 72, 216, 108, 108, 108, 324, 108, 1296, 216, 54, 54, 54, 54, 108, 
  486, 216, 72, 72, 72, 72, 72, 432, 72, 432, 108, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 216, 324, 1296, 144, 144, 144, 72, 72, 72, 36, 36, 36, 
  108, 36, 216, 216, 108, 108, 324, 324, 72, 72, 72, 72, 72, 72, 72, 72, 144, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 432, 36, 18, 18, 18, 36, 18, 18, 
  18, 216, 108, 108, 108, 108, 324, 108, 72, 144, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 432, 54, 18, 18, 18, 18, 36, 108, 108, 324, 72, 144, 
  36, 36, 36, 36, 36, 36, 36, 36, 108, 432, 18, 36, 324, 72, 144, 36, 36, 36, 36, 36, 432, 36, 108, 108, 108, 108, 108, 432, 144, 36, 36, 144, 36, 36, 36, 36, 144, 
  216, 54, 1296, 144, 162, 648, 15552, 1944, 324, 1296, 19440, 3888, 1296, 324, 108, 432, 1296, 3888, 1296, 324, 108, 432, 1296, 1728, 864, 432, 432, 216, 108, 108, 108, 
  108, 108, 324, 216, 1296, 216, 216, 216, 216, 216, 54, 54, 54, 864, 864, 288, 288, 144, 72, 72, 72, 72, 72, 72, 144, 144, 144, 144, 144, 144, 144, 144, 36, 36, 
  36, 36, 864, 432, 216, 216, 432, 216, 108, 108, 108, 324, 216, 108, 324, 162, 54, 54, 54, 54, 432, 432, 144, 72, 72, 72, 72, 72, 144, 72, 72, 72, 72, 36, 36, 36, 
  36, 36, 36, 36, 36, 36, 36, 36, 36, 432, 216, 108, 108, 108, 216, 108, 108, 108, 216, 108, 108, 324, 108, 108, 54, 54, 54, 162, 108, 324, 216, 144, 72, 72, 144, 144, 
  72, 144, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 1296, 216, 
  108, 324, 648, 432, 432, 108, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 5184, 432, 216, 216, 324, 108, 36, 864, 432, 216, 216, 216, 216, 108, 108, 108, 324, 144, 72, 
  72, 108, 432, 36, 18, 18, 18, 36, 18, 18, 18, 864, 432, 216, 216, 216, 108, 108, 108, 108, 108, 324, 144, 432, 54, 18, 18, 18, 18, 36, 864, 432, 216, 216, 
  216, 108, 108, 108, 324, 144, 432, 18, 36, 864, 432, 216, 216, 108, 324, 144, 432, 36, 432, 216, 108, 108, 108, 216, 108, 108, 108, 216, 108, 324, 108, 72, 216, 54, 1296, 
  216, 108, 216, 648, 1944, 1296, 648, 864, 216, 216, 5184, 216, 432, 216, 72, 72, 432, 216, 432, 216, 144, 72, 72, 432, 432, 2592, 432, 432, 1296, 216, 432, 216, 144, 144, 
  144, 72, 144, 432, 576, 288, 288, 144, 72, 72, 288, 144, 144, 288, 72, 72, 72, 1152, 1152, 192, 96, 48, 48, 96, 96, 192, 192, 96, 96, 192, 192, 48, 48, 48, 
  48, 144, 288, 144, 72, 72, 36, 36, 36, 72, 36, 576, 576, 48, 48, 48, 48, 48, 48, 48, 24, 24, 24, 24, 48, 48, 24, 144, 72, 144, 72, 144, 72, 72, 432, 36, 36, 
  36, 36, 72, 72, 36, 288, 192, 48, 48, 192, 48, 48, 48, 96, 96, 24, 24, 24, 48, 24, 24, 48, 24, 48, 24, 24, 48, 24, 24, 24, 48, 48, 24, 48, 72, 72, 72, 
  72, 72, 72, 288, 72, 72, 72, 72, 72, 36, 36, 36, 36, 36, 36, 36, 36, 36, 144, 96, 48, 48, 96, 96, 48, 48, 48, 48, 96, 48, 48, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 72, 72, 72, 72, 72, 288, 72, 72, 72, 36, 36, 36, 144, 96, 
  96, 96, 48, 48, 96, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
  144, 72, 72, 72, 72, 144, 288, 192, 48, 192, 24, 24, 24, 48, 24, 24, 48, 24, 48, 48, 24, 24, 24, 48, 24, 24, 48, 24, 48, 144, 72, 432, 144, 144, 144, 288, 192, 192, 
  24, 24, 24, 48, 24, 24, 48, 24, 48, 24, 24, 48, 24, 24, 24, 48, 48, 24, 48, 144, 144, 144, 288, 192, 48, 24, 48, 24, 12, 12, 12, 12, 12, 12, 12, 
  12, 288, 144, 288, 192, 576, 24, 24, 12, 12, 24, 24, 144, 144, 144, 144, 96, 288, 12, 12, 12, 12, 12, 12, 12, 12, 144, 72, 864, 96, 12, 48, 12, 144, 72, 96, 288, 12, 48, 
  72, 72, 72, 288, 48, 144, 48, 12, 72, 72, 72, 288, 48, 144, 48, 144, 72, 96, 288, 144, 72, 432, 96, 288, 648, 432, 432, 648, 216, 108, 108, 324, 108, 324, 
  216, 72, 72, 144, 72, 36, 36, 36, 36, 36, 36, 36, 36, 216, 72, 72, 72, 72, 72, 36, 36, 36, 36, 36, 36, 36, 36, 1296, 432, 2592, 1728, 432, 432, 108, 108, 432, 144, 
  36, 36, 144, 144, 144, 144, 36, 36, 432, 144, 36, 36, 144, 144, 144, 144, 36, 36, 324, 216, 216, 216, 216, 648, 108, 108, 108, 216, 216, 108, 36, 36, 36, 36, 36, 
  36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
  36, 36, 324, 108, 432, 108, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 108, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 
  36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 972, 648, 1296, 108, 108, 108, 108, 108, 36, 36, 36, 36, 36, 108, 324, 108, 108, 108, 108, 108, 36, 36, 36, 36, 36, 108, 
  216, 36, 36, 36, 36, 36, 432, 144, 36, 36, 18, 18, 18, 96, 24, 288, 72, 18, 48, 48, 48, 48, 48, 48, 12, 12, 12, 144, 36, 108, 18, 18, 18, 18, 18, 24, 
  144, 108, 18, 18, 18, 18, 18, 24, 72, 36, 18, 18, 18, 18, 54, 18, 18, 72, 18, 18, 54, 18, 72, 54, 18, 72, 18, 18, 54, 72, 18, 54, 72, 18, 18, 54, 72, 1944, 
  1944, 864, 648, 972, 648, 216, 432, 108, 36, 36, 108, 648, 216, 72, 216, 108, 36, 36, 108, 1296, 1296, 864, 432, 36, 144, 144, 144, 144, 36, 36, 432, 144, 36, 36, 144, 
  144, 144, 144, 36, 36, 216, 216, 72, 108, 108, 18, 36, 18, 96, 24, 24, 48, 3888, 3888, 1296, 432, 108, 36, 432, 432, 432, 432, 1296, 432, 108, 36, 432, 432, 432, 
  432, 144, 36, 36, 54, 18, 18, 18, 18, 54, 12, 3888, 432, 108, 5184, 36, 36, 36, 36, 36, 36, 144, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 24, 24, 24, 48, 24, 48, 24, 24, 24, 24, 48, 324, 432, 216, 24, 24, 24, 72, 24, 72, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 72, 24, 72, 288, 864, 288, 432, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 216, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 648, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 48, 48, 24, 24, 24, 24, 12, 12, 12, 12, 48, 144, 96, 24, 36, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 144, 96, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 144, 96, 12, 12, 12, 12, 12, 12, 72, 48, 24, 72, 12, 36, 
  216, 144, 216, 972, 972, 216, 108, 162, 648, 216, 1296, 54, 216, 72, 324, 54, 54, 162, 72, 432, 18, 54, 18, 36, 72, 72, 36, 24, 72, 72, 144, 432, 18, 18, 36, 18, 72, 
  18, 36, 3888, 432, 432, 648, 36, 6480, 144, 972, 3888, 2916, 23328, 1944, 864, 2592, 972, 3888, 486, 432, 288, 576, 144, 864, 38880, 648, 648, 19440, 1296, 2592, 216, 
  1296, 1296, 144, 144, 36, 36, 10368, 2592, 1296, 432, 108, 1152, 288, 216, 144, 36, 288, 216, 18, 18, 72, 72, 72, 72, 18, 1728, 216, 1296, 108, 108, 324, 162, 288, 72, 
  216, 36, 36, 108, 72, 18, 36, 18, 18, 54, 5184, 432, 1296, 1728, 144, 432, 324, 216, 324, 36, 36, 54, 72, 24, 432, 432, 216, 72, 96, 48, 108, 54, 24, 12, 
  972, 648, 1296, 162, 108, 972, 216, 144, 432, 216, 72, 108, 36, 12, 36, 12, 108, 36, 3888, 9072, 216, 864, 144, 48, 108, 36, 864, 288, 144, 48, 486, 324, 108, 108, 36, 
  12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 36, 12, 72, 36, 144, 144, 1728, 108, 18, 18, 144, 216, 72, 36, 54, 3888, 3888, 216, 1944, 216, 864, 1728, 288, 
  432, 72, 24, 432, 144, 864, 1728, 1152, 288, 1728, 3888, 108, 432, 324, 1728, 5184, 972, 36, 162, 1296, 216, 1944, 7776, 1296, 2592, 2592, 7776, 1728, 144, 288, 144, 144, 
  72, 72, 576, 144, 72, 432, 72, 216, 108, 192, 48, 96, 96, 576, 48, 72, 96, 48, 144, 972, 432, 216, 162, 216, 72, 432, 216, 96, 48, 1296, 216, 648, 288, 144, 
  1296, 108, 108, 288, 1728, 324, 36, 54, 432, 432, 288, 432, 36, 36, 36, 3888, 144, 648, 2592, 1296, 576, 108, 1296, 144, 216, 26244, 11664, 34992, 5832, 1944, 2916, 
  58320, 3888, 29160, 34992, 3888, 11664, 34992, 11664, 7776, 2592, 3888, 1944, 1944, 432, 648, 58320, 6480, 19440, 1944, 324, 864, 216, 216, 216, 36, 1296, 432, 108, 216, 
  216, 36, 19440, 324, 4320, 144, 3240, 216, 108, 486, 324, 108, 648, 54, 18, 54, 54, 18, 18, 18, 54, 18, 18, 162, 18, 54, 54, 18, 18, 18, 54, 18, 18, 324, 
  162, 216, 18, 36, 36, 18, 18, 18, 18, 18, 36, 18, 36, 36, 108, 18, 18, 36, 36, 18, 18, 18, 18, 18, 36, 18, 36, 36, 216, 54, 9, 9, 9, 9, 18, 9, 18, 
  48, 72, 48, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 12, 6, 12, 23328, 1944, 162, 324, 2592, 15552, 648, 2592, 108, 216, 1728, 7776, 2592, 864, 27216, 648, 162, 1296, 
  3888, 216, 162, 1296, 216, 2592, 96, 288, 288, 48, 48, 72, 432, 216, 9072, 432, 216, 108, 18, 18, 72, 72, 72, 18, 18, 216, 72, 18, 18, 72, 72, 72, 72, 18, 
  18, 108, 108, 9, 24, 96, 12, 24, 24, 12, 12, 6, 6, 24, 24, 6, 6, 24, 24, 12, 12, 24, 24, 81, 27, 9, 18, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 
  6, 648, 144, 48, 24, 24, 12, 144, 48, 108, 24, 24, 24, 24, 6, 6, 6, 6, 6, 24, 24, 24, 24, 6, 216, 18, 18, 18, 9, 648, 18, 9, 36, 12, 12, 6, 48, 12, 12, 12, 6, 24, 
  12, 108, 9, 9, 18, 9, 9, 36, 9, 54, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 12, 972, 486, 72, 36, 72, 18, 54, 2592, 432, 576, 24, 1728, 144, 
  36, 36, 72, 72, 18, 648, 48, 12, 36, 36, 18, 972, 36, 36, 18, 18, 6, 6, 54, 18, 54, 27, 27, 9, 9, 2592, 36, 27, 216, 36, 108, 6, 24, 9, 36, 324, 6, 6, 6, 6, 6, 6, 
  6, 324, 9, 9, 9, 9, 9, 9, 9, 864, 12, 12, 12, 12, 6, 6, 24, 6, 6, 6, 6, 12, 24, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 30, 3, 6, 3, 6, 3, 6, 3, 15, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 12, 24, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 3, 3, 3, 6, 3, 3, 3, 12, 3, 6, 24, 3, 3, 3, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 72, 72, 18, 18, 18, 
  18, 18, 6, 36, 72, 18, 18, 18, 18, 18, 18, 18, 18, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 
  18, 18, 9, 9, 9, 36, 9, 36, 96, 18, 9, 324, 54, 36, 36, 36, 864, 192, 576, 324, 36, 12, 216, 18, 6, 144, 9, 6, 12, 24, 12, 3, 3, 18, 18, 6, 6, 6, 24, 24, 
  24, 108, 18, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 144, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 24, 24, 6, 6, 6, 6, 6, 24, 6, 108, 54, 36, 
  36, 36, 36, 18, 216, 54, 12, 12, 12, 72, 18, 72, 18, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 12, 12, 12, 12, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 12, 36, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 54, 
  54, 18, 18, 18, 216, 162, 36, 72, 6, 108, 9, 36, 6, 18, 18, 18, 36, 6, 6, 6, 6, 6, 6, 6, 6, 18, 54, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 3, 3, 3, 3, 3, 3, 108, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 3, 3, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 54, 432, 108, 36, 24, 6, 6, 864, 18, 
  24, 24, 18, 24, 36, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 24, 6, 6, 6, 72, 24, 54, 18, 6, 144, 24, 36, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 6, 
  6, 72, 54, 36, 6, 54, 6, 6, 6, 6, 36, 18, 6, 17496, 972, 2916, 324, 162, 54, 162, 5832, 2592, 108, 3888, 324, 324, 324, 54, 972, 54, 54, 54, 54, 54, 2916, 
  162, 972, 486, 108, 324, 2916, 162, 972, 486, 108, 324, 27, 27, 72, 324, 81, 108, 54, 108, 243, 54, 54, 54, 27, 81, 36, 36, 216, 36, 18, 18, 18, 18, 486, 54, 162, 432, 
  108, 108, 36, 36, 36, 36, 108, 324, 108, 108, 108, 108, 108, 36, 36, 36, 36, 36, 108, 324, 162, 36, 108, 15552, 162, 648, 216, 54, 648, 1944, 162, 648, 216, 54, 
  648, 18, 36, 18, 36, 18, 18, 18, 36, 18, 36, 36, 1296, 18, 108, 54, 18, 108, 54, 36, 2916, 324, 162, 36, 108, 648, 324, 72, 216, 648, 36, 216, 108, 24, 72, 81, 
  27, 27, 27, 9, 9, 9, 9, 18, 9, 9, 36, 36, 36, 18, 18, 18, 18, 18, 18, 18, 1458, 18, 18, 432, 108, 24, 72, 108, 18, 18, 108, 12, 12, 486, 9, 27, 
  54, 216, 12, 36, 216, 54, 18, 18, 54, 6, 6, 18, 18, 54, 18, 18, 27, 54, 48, 24, 12, 12, 24, 24, 12, 6, 6, 6, 6, 6, 12, 6, 6, 6, 12, 12, 6, 6, 12, 6, 
  12, 6, 12, 12, 162, 162, 144, 72, 36, 6, 6, 12, 12, 18, 18, 36, 36, 12, 12, 36, 1944, 27, 162, 81, 18, 54, 108, 27, 27, 9, 6, 3, 3, 3, 9, 648, 6, 18, 324, 
  27, 18, 9, 72, 18, 216, 18, 27, 432, 72, 432, 108, 36, 144, 1728, 144, 24, 144, 288, 48, 288, 72, 24, 54, 54, 54, 54, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 
  12, 12, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 108, 108, 27, 9, 27, 18, 9, 9, 9, 9, 27, 27, 18, 72, 54, 9, 9, 9, 9, 
  54, 9, 9, 9, 27, 9, 54, 18, 18, 6, 6, 6, 18, 6, 18, 18, 6, 6, 6, 18, 6, 18, 18, 18, 6, 6, 6, 18, 6, 18, 18, 6, 6, 6, 18, 6, 18, 18, 18, 6, 6, 6, 18, 6, 
  18, 18, 9, 6, 18, 9, 9, 9, 9, 9, 9, 54, 216, 27, 36, 9, 9, 9, 9, 12, 12, 36, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 12, 36, 18, 18, 18, 
  9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 6, 6, 18, 9, 18, 3, 54, 18, 72, 36, 18, 18, 18, 48, 9, 9, 9, 27, 9, 27, 72, 9, 108, 288, 54, 72, 36, 9, 9, 9, 9, 9, 9, 9, 
  9, 9, 9, 9, 9, 24, 9, 9, 9, 18, 108, 36, 36, 9, 9, 18, 9, 9, 18, 9, 18, 9, 9, 9, 9, 18, 18, 9, 9, 27, 6, 9, 9, 18, 18, 18, 6, 6, 27, 
  27, 54, 54, 9, 9, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 9, 9, 18, 6, 9, 18, 6, 27, 18, 18, 6, 6, 18, 18, 18, 18, 324, 6, 6, 18, 9, 3, 
  3, 3, 3, 9, 3, 9, 9, 54, 54, 9, 27, 27, 9, 9, 9, 27, 9, 27, 9, 9, 9, 9, 27, 18, 9, 27, 12, 9, 9, 18, 18, 9, 3, 18, 18, 6, 6, 3, 3, 3, 
  3, 3, 9, 9, 9, 9, 9, 9, 54, 6, 18, 18, 6, 3, 6, 9, 9, 9, 9, 9, 54, 324, 72, 162, 324, 108, 6, 12, 6, 36, 9, 27, 54, 54, 54, 18, 216, 108, 18, 108, 108, 54, 18, 6, 216, 
  18, 72, 6, 11664, 69984, 2592, 54, 432, 324, 324, 216, 18, 108, 9, 18, 18, 1458, 648, 1944, 72, 72, 72, 192, 48, 36, 216, 108, 108, 216, 36, 6, 6, 3, 3, 
  6, 54, 9, 6, 162, 243, 54, 288, 6, 9, 54, 648, 324, 108, 18, 18, 12, 12, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 24, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 9, 3, 3, 18, 12, 12, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 
  6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 12, 12, 12, 18, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 12, 6, 6, 6, 6, 24, 6, 6, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 12, 12, 12, 6, 6, 12, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 
  6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 12, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 12, 12, 12, 18, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 18, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 54, 12, 18, 36, 6, 6, 6, 6, 18, 18, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 18, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 27, 3, 18, 12, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 54, 54, 72, 36, 18, 36, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
  18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 72, 18, 18, 18, 18, 18, 18, 18, 72, 18, 18, 
  18, 36, 72, 72, 36, 18, 72, 36, 18, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 108, 108, 54, 36, 18, 18, 18, 36, 18, 18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 36, 18, 18, 18, 72, 
  36, 72, 72, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 24, 12, 24, 24, 54, 18, 54, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 36, 18, 18, 
  18, 18, 18, 18, 18, 18, 36, 18, 18, 72, 72, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 72, 18, 18, 18, 18, 36, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 108, 9, 36, 9, 72, 9, 36, 36, 72, 18, 9, 9, 36, 9, 9, 36, 9, 36, 72, 9, 9, 36, 9, 9, 36, 36, 18, 36, 9, 36, 36, 144, 36, 72, 6, 24, 6, 24, 6, 24, 6, 
  24, 24, 24, 6, 6, 6, 24, 6, 6, 24, 6, 24, 24, 6, 6, 24, 6, 6, 24, 24, 24, 6, 24, 24, 6, 24, 24, 24, 24, 24, 27, 9, 9, 9, 9, 9, 9, 
  9, 9, 9, 9, 27, 9, 9, 9, 18, 9, 9, 9, 9, 18, 9, 9, 9, 9, 27, 9, 18, 9, 9, 9, 18, 9, 18, 36, 9, 9, 18, 9, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 36, 36, 9, 9, 9, 
  18, 9, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 54, 54, 
  18, 18, 18, 18, 18, 18, 18, 18, 54, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 72, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 108, 72, 36, 36, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 54, 27, 18, 9, 9, 27, 9, 9, 9, 9, 18, 9, 18, 18, 9, 18, 9, 9, 9, 18, 18, 9, 9, 18, 9, 9, 9, 18, 9, 9, 18, 
  9, 9, 9, 36, 72, 36, 6, 6, 12, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 12, 6, 12, 6, 6, 6, 12, 12, 12, 6, 6, 12, 6, 6, 6, 6, 12, 6, 
  6, 12, 6, 12, 6, 12, 12, 6, 12, 6, 12, 12, 12, 12, 108, 108, 36, 9, 9, 9, 9, 9, 9, 36, 36, 36, 36, 36, 36, 72, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 108, 54, 18, 18, 18, 36, 18, 18, 36, 18, 36, 18, 18, 18, 18, 
  18, 18, 18, 18, 18, 72, 36, 36, 36, 216, 108, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 12, 12, 18, 6, 6, 6, 6, 6, 12, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 6, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 9, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 24, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 24, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 
  12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 3, 3, 3, 9, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 12, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 24, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 12, 6, 12, 6, 12, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 9, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 18, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  6, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 12, 6, 
  6, 6, 6, 6, 12, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 18, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 6, 3, 3, 3, 18, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 6, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 3, 
  3, 3, 3, 3, 9, 6, 6, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 18, 6, 6, 6, 12, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 9, 3, 3, 6, 3, 18, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 3, 3, 9, 3, 3, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 12, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 
  3, 3, 3, 3, 36, 6, 6, 6, 6, 6, 6, 12, 6, 3, 3, 6, 3, 6, 6, 18, 6, 3, 3, 3, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 3, 3, 3, 3, 6, 3, 3, 3, 9, 3, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 6, 9, 3, 36, 6, 6, 6, 6, 6, 12, 12, 6, 3, 6, 6, 18, 6, 18, 6, 12, 
  6, 6, 6, 6, 6, 6, 12, 6, 3, 3, 6, 9, 36, 6, 6, 6, 6, 12, 12, 6, 18, 36, 6, 12, 12, 18, 288, 288, 96, 144, 192, 96, 96, 48, 48, 48, 48, 48, 48, 
  24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 24, 72, 24, 12, 12, 12, 48, 288, 48, 24, 24, 24, 24, 24, 24, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 12, 12, 12, 6, 6, 6, 
  6, 6, 6, 144, 144, 192, 48, 96, 48, 48, 192, 48, 48, 48, 48, 48, 48, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 
  12, 12, 12, 12, 24, 144, 24, 48, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 216, 288, 144, 72, 72, 24, 24, 48, 36, 18, 18, 18, 6, 6, 6, 6, 18, 18, 54, 18, 6, 36, 216, 36, 12, 24, 12, 36, 36, 36, 36, 12, 12, 12, 
  12, 9, 9, 9, 3, 3, 3, 3, 288, 288, 96, 96, 96, 48, 48, 48, 48, 24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 24, 72, 24, 12, 12, 12, 48, 48, 48, 48, 24, 
  24, 24, 24, 24, 24, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 288, 96, 24, 576, 24, 96, 96, 48, 24, 6, 6, 24, 24, 12, 24, 
  72, 24, 24, 96, 24, 12, 12, 48, 12, 12, 48, 24, 48, 48, 24, 48, 48, 24, 48, 12, 6, 6, 6, 12, 6, 6, 12, 6, 12, 72, 24, 72, 24, 24, 24, 96, 24, 24, 
  12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 72, 24, 24, 12, 12, 72, 24, 24, 24, 12, 12, 12, 24, 96, 24, 24, 12, 
  12, 12, 24, 24, 24, 24, 12, 12, 12, 24, 24, 24, 12, 12, 12, 48, 12, 12, 12, 12, 6, 6, 6, 6, 12, 12, 36, 12, 6, 6, 6, 12, 12, 12, 6, 6, 6, 6, 12, 12, 12, 12, 
  6, 6, 6, 6, 6, 6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 6, 6, 
  6, 6, 6, 6, 432, 24, 24, 24, 12, 12, 12, 6, 18, 3, 1008, 144, 144, 144, 72, 72, 72, 72, 72, 72, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 72, 24, 24, 12, 12, 12, 12, 3, 3, 
  3, 3, 3, 3, 6, 6, 3, 3, 3, 24, 12, 12, 12, 24, 72, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 24, 24, 
  12, 12, 12, 12, 12, 12, 6, 6, 3, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 72, 12, 12, 12, 12, 12, 12, 12, 6, 3, 3, 24, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  24, 144, 12, 12, 12, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 6, 3, 3, 6, 3, 3, 3, 6, 6, 36, 12, 12, 12, 12, 
  12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 24, 48, 12, 12, 12, 12, 12, 12, 12, 24, 72, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 
  12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 24, 48, 12, 12, 12, 72, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 
  12, 12, 12, 12, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 24, 48, 12, 72, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  72, 24, 24, 24, 12, 12, 12, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 24, 24, 48, 24, 24, 12, 12, 12, 12, 12, 12, 24, 144, 24, 24, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 3, 3, 
  3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 72, 24, 24, 12, 12, 12, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 24, 
  24, 48, 24, 12, 12, 12, 144, 24, 24, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 72, 24, 24, 12, 12, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 
  12, 24, 24, 48, 24, 12, 12, 12, 12, 12, 12, 24, 144, 12, 12, 12, 12, 12, 12, 6, 12, 6, 3, 3, 3, 3, 6, 12, 3, 3, 3, 6, 3, 72, 
  24, 12, 12, 12, 6, 6, 6, 3, 3, 3, 3, 6, 48, 12, 12, 12, 12, 12, 12, 144, 12, 12, 12, 12, 12, 12, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 
  12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 48, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 72, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  36, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 48, 12, 12, 12, 12, 12, 12, 12, 12, 48, 72, 
  12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 
  12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 48, 12, 12, 12, 12, 12, 72, 12, 24, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 12, 12, 24, 48, 12, 12, 12, 12, 72, 24, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 36, 12, 12, 12, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 48, 72, 24, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 36, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 48, 72, 24, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 3, 
  3, 6, 12, 6, 6, 6, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 12, 6, 3, 3, 3, 3, 3, 3, 12, 12, 6, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 18, 6, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 18, 6, 3, 3, 
  3, 6, 6, 6, 3, 3, 3, 6, 3, 3, 3, 18, 6, 3, 3, 6, 6, 6, 6, 12, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 12, 
  3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 6, 
  6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 6, 3, 3, 6, 3, 3, 12, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 6, 
  3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 6, 3, 6, 3, 12, 3, 6, 3, 3, 3, 3, 6, 6, 3, 144, 144, 48, 72, 96, 48, 48, 96, 24, 
  24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 72, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 72, 12, 12, 36, 6, 6, 12, 12, 12, 12, 6, 6, 12, 12, 12, 12, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 96, 24, 48, 24, 24, 48, 24, 24, 24, 24, 24, 24, 24, 48, 24, 24, 24, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 18, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 108, 144, 72, 36, 
  36, 72, 12, 12, 12, 12, 36, 18, 18, 6, 6, 6, 6, 18, 54, 36, 18, 6, 6, 6, 6, 54, 27, 3, 3, 9, 9, 3, 3, 9, 9, 3, 3, 3, 3, 9, 3, 3, 3, 3, 144, 144, 48, 48, 24, 24, 24, 24, 
  24, 12, 12, 12, 12, 12, 12, 24, 72, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 72, 12, 12, 12, 6, 6, 12, 12, 12, 12, 6, 6, 12, 12, 12, 
  12, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 36, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 12, 6, 6, 6, 6, 6, 12, 
  6, 18, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 72, 12, 72, 12, 24, 24, 96, 12, 12, 6, 6, 6, 6, 6, 18, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 6, 6, 3, 6, 6, 3, 72, 24, 24, 12, 
  12, 12, 72, 24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 24, 12, 12, 12, 12, 12, 12, 24, 24, 24, 12, 12, 12, 24, 24, 12, 12, 12, 24, 12, 12, 6, 6, 
  6, 6, 6, 6, 12, 36, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 36, 6, 6, 6, 72, 24, 24, 24, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 24, 24, 
  12, 12, 24, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 6, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 
  6, 3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 12, 24, 6, 3, 3, 3, 3, 3, 6, 6, 3, 
  3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 
  12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 12, 24, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 6, 3, 3, 3, 6, 3, 
  3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 12, 6, 6, 12, 6, 3, 3, 3, 3, 6, 18, 3, 3, 3, 3, 3, 3, 
  6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 3, 3, 3, 6, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 12, 12, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 6, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  12, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 18, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 24, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 24, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 6, 3, 3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 
  3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 9, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 6, 
  12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 6, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 6, 12, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 12, 72, 72, 96, 48, 24, 24, 48, 24, 
  24, 24, 48, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 36, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 144, 
  144, 24, 96, 24, 24, 192, 24, 24, 48, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 36, 24, 24, 24, 
  12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 12, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 18, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 144, 144, 24, 24, 24, 24, 48, 24, 48, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 36, 12, 12, 24, 12, 12, 12, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 288, 48, 12, 48, 48, 12, 6, 6, 24, 12, 24, 72, 
  24, 12, 12, 12, 6, 12, 6, 12, 72, 12, 12, 12, 12, 12, 48, 24, 12, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 72, 12, 12, 12, 12, 
  12, 48, 12, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 12, 12, 36, 24, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 6, 6, 12, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 
  12, 3, 6, 3, 6, 3, 6, 6, 3, 6, 3, 6, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 3, 6, 3, 6, 6, 18, 3, 3, 6, 3, 6, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 
  3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 6, 6, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 3, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 12, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 3, 6, 3, 3, 
  3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 6, 3, 3, 6, 
  72, 72, 48, 48, 24, 24, 48, 24, 24, 24, 24, 24, 24, 48, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 
  12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 24, 24, 48, 24, 24, 24, 24, 24, 24, 48, 24, 24, 24, 48, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 24, 48, 24, 24, 24, 24, 24, 48, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 48, 12, 12, 12, 48, 12, 48, 48, 12, 6, 6, 6, 6, 6, 18, 6, 36, 6, 6, 6, 3, 3, 6, 6, 3, 3, 3, 3, 36, 24, 24, 12, 12, 12, 
  12, 12, 6, 6, 6, 6, 12, 6, 6, 6, 12, 6, 12, 6, 18, 18, 18, 18, 12, 6, 6, 6, 18, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 72, 72, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 36, 12, 12, 12, 48, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 36, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 36, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 18, 6, 12, 6, 6, 6, 12, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 36, 12, 12, 12, 12, 24, 12, 24, 12, 12, 6, 6, 6, 6, 12, 6, 18, 12, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 72, 12, 24, 12, 24, 24, 12, 6, 6, 6, 6, 6, 6, 18, 3, 3, 3, 3, 3, 3, 6, 6, 3, 6, 6, 36, 12, 12, 12, 12, 12, 24, 12, 6, 6, 12, 6, 6, 18, 
  12, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 12, 12, 36, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 12, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 18, 6, 6, 6, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 9, 9, 9, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 24, 6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 27, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 
  6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 6, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 
  3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 6, 3, 3, 6, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 6, 3, 3, 6, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  12, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 12, 6, 3, 3, 3, 6, 3, 3, 3, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 9, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 18, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 12, 6, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 12, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 12, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 72, 72, 48, 48, 48, 24, 24, 24, 24, 24, 48, 
  24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 48, 12, 12, 12, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 48, 24, 
  24, 24, 24, 48, 24, 24, 12, 48, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 
  48, 24, 24, 24, 48, 24, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 24, 24, 24, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 24, 12, 48, 12, 12, 12, 12, 36, 12, 48, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 36, 12, 
  12, 12, 12, 12, 12, 12, 24, 12, 6, 6, 6, 6, 6, 6, 18, 12, 6, 6, 6, 6, 6, 18, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 12, 12, 12, 12, 24, 6, 6, 18, 6, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 
  3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 6, 3, 3, 3, 6, 3, 6, 3, 3, 3, 
  3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 
  3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 9, 9, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 9, 3, 3, 12, 3, 3, 3, 3, 12, 3, 3, 3, 3, 6, 3, 6, 72, 72, 48, 48, 48, 24, 
  24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 48, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 48, 24, 96, 24, 24, 48, 24, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 36, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 24, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 36, 12, 48, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 144, 48, 12, 48, 48, 48, 12, 24, 24, 12, 24, 72, 24, 48, 24, 72, 12, 6, 12, 6, 6, 72, 12, 12, 
  24, 24, 24, 12, 6, 6, 6, 18, 6, 3, 6, 6, 3, 3, 36, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 12, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 36, 12, 12, 12, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 18, 18, 6, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 6, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  9, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 12, 3, 3, 3, 6, 6, 3, 3, 6, 
  3, 6, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 12, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  6, 6, 3, 3, 12, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 12, 3, 3, 3, 3, 6, 3, 3, 9, 3, 
  3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 12, 6, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 6, 3, 3, 3, 3, 12, 6, 6, 3, 
  3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  3, 3, 3, 12, 3, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 9, 12, 3, 3, 6, 12, 6, 3, 9, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 12, 3, 3, 6, 6, 12, 72, 72, 48, 48, 48, 24, 24, 24, 12, 12, 12, 
  12, 12, 12, 12, 36, 12, 48, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 48, 96, 24, 12, 12, 12, 12, 12, 12, 36, 12, 36, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 48, 24, 12, 12, 12, 12, 12, 12, 12, 36, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 72, 72, 24, 24, 24, 24, 24, 24, 24, 12, 12, 12, 
  12, 12, 12, 36, 36, 48, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 144, 48, 12, 48, 48, 48, 12, 24, 12, 24, 72, 48, 72, 12, 
  6, 12, 36, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 36, 12, 6, 6, 6, 6, 6, 6, 18, 18, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 9, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 6, 3, 3, 3, 3, 6, 3, 12, 6, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 
  3, 3, 3, 3, 3, 12, 3, 6, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 6, 3, 3, 6, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 9, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 6, 
  3, 3, 3, 12, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 12, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 3, 9, 3, 3, 
  3, 3, 3, 3, 3, 3, 6, 6, 12, 3, 9, 3, 3, 3, 3, 3, 3, 3, 12, 9, 3, 3, 3, 3, 12, 72, 72, 24, 36, 24, 24, 24, 12, 12, 12, 24, 24, 12, 12, 12, 24, 24, 12, 12, 12, 12, 12, 12, 
  24, 72, 24, 96, 12, 6, 6, 6, 6, 6, 6, 12, 12, 36, 24, 72, 6, 6, 6, 6, 6, 6, 36, 36, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 36, 48, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 18, 12, 36, 6, 6, 6, 6, 6, 6, 6, 12, 54, 
  72, 36, 18, 18, 18, 6, 6, 6, 6, 36, 18, 18, 6, 6, 6, 6, 18, 36, 18, 6, 12, 6, 18, 54, 18, 72, 18, 9, 9, 3, 3, 3, 3, 9, 9, 9, 
  27, 18, 54, 6, 3, 3, 72, 72, 24, 24, 12, 12, 12, 24, 24, 12, 12, 12, 24, 24, 48, 12, 12, 12, 24, 24, 24, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 12, 36, 12, 12, 12, 6, 6, 6, 6, 
  6, 6, 72, 24, 24, 12, 12, 12, 72, 24, 24, 12, 12, 12, 24, 24, 48, 12, 12, 12, 24, 12, 6, 6, 6, 12, 36, 12, 6, 6, 6, 6, 6, 6, 
  72, 24, 12, 12, 12, 24, 12, 12, 12, 24, 72, 24, 24, 12, 12, 12, 24, 72, 6, 6, 6, 6, 6, 6, 12, 12, 36, 6, 6, 6, 6, 6, 6, 36, 12, 12, 6, 6, 6, 12, 6, 6, 6, 12, 12, 
  24, 6, 6, 6, 12, 36, 48, 36, 12, 12, 6, 6, 6, 12, 12, 12, 12, 12, 12, 6, 6, 6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 36, 6, 6, 6, 3, 
  3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 3, 6, 6, 18, 24, 6, 6, 108, 6, 3, 3, 3, 12, 36, 6, 72, 36, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 12, 9, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 12, 9, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 12, 18, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 6, 6, 12, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 12, 216, 
  72, 108, 24, 12, 12, 12, 12, 12, 12, 72, 288, 6, 6, 108, 6, 6, 108, 108, 144, 36, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 36, 144, 6, 6, 6, 6, 54, 
  6, 6, 6, 6, 162, 216, 36, 18, 6, 6, 6, 6, 54, 216, 54, 3, 9, 81, 3, 9, 72, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 72, 6, 6, 
  6, 6, 6, 6, 36, 6, 6, 6, 6, 6, 6, 108, 12, 6, 6, 6, 6, 144, 108, 6, 6, 6, 6, 36, 6, 6, 6, 6, 9, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 9, 12, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 
  6, 12, 3, 3, 9, 12, 3, 36, 36, 24, 24, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 
  12, 24, 6, 6, 6, 6, 6, 6, 6, 18, 12, 12, 6, 18, 36, 36, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 12, 12, 12, 6, 18, 36, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 6, 6, 6, 6, 6, 6, 6, 6, 18, 12, 6, 18, 54, 18, 12, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 18, 6, 72, 18, 3, 3, 9, 3, 3, 27, 6, 27, 18, 12, 12, 6, 6, 6, 6, 12, 6, 6, 6, 12, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 
  6, 6, 24, 18, 6, 3, 3, 3, 3, 3, 9, 18, 9, 18, 36, 36, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 6, 36, 12, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 48, 12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 36, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 36, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 6, 6, 18, 6, 6, 6, 18, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 
  6, 6, 6, 24, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 18, 3, 3, 3, 12, 9, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 9, 3, 3, 6, 12, 27, 3, 3, 3, 36, 36, 36, 36, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 48, 24, 6, 6, 12, 18, 18, 36, 36, 24, 48, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 48, 6, 6, 6, 6, 6, 18, 36, 36, 36, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 48, 6, 18, 36, 36, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 6, 6, 18, 6, 36, 48, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 24, 6, 6, 12, 18, 36, 48, 12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 12, 12, 12, 12, 24, 18, 18, 24, 6, 6, 6, 6, 
  6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 24, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 24, 6, 54, 18, 36, 26244, 2916, 11664, 1296, 324, 972, 324, 972, 2916, 324, 486, 
  5832, 5832, 648, 1944, 1944, 648, 216, 216, 216, 1296, 432, 648, 324, 108, 324, 972, 972, 648, 324, 972, 216, 432, 108, 108, 108, 108, 162, 54, 648, 216, 216, 72, 144, 
  144, 72, 72, 36, 36, 36, 36, 36, 108, 1944, 1296, 54, 648, 648, 972, 81, 3888, 3888, 324, 1296, 432, 864, 432, 216, 54, 648, 324, 972, 324, 324, 324, 216, 54, 162, 
  54, 162, 54, 972, 72, 216, 216, 216, 432, 144, 216, 108, 36, 108, 108, 108, 36, 36, 36, 36, 108, 108, 216, 216, 216, 54, 648, 108, 108, 27, 27, 27, 27, 108, 324, 
  432, 144, 36, 36, 288, 288, 72, 72, 72, 72, 18, 18, 18, 18, 18, 72, 72, 72, 72, 18, 972, 81, 81, 324, 4860, 1944, 216, 648, 648, 162, 54, 54, 216, 72, 216, 
  648, 972, 108, 324, 108, 324, 972, 162, 2916, 324, 108, 54, 18, 54, 162, 216, 72, 216, 18, 18, 54, 18, 54, 54, 54, 18, 54, 162, 108, 648, 72, 108, 108, 36, 36, 36, 108, 
  36, 108, 108, 27, 27, 9, 27, 36, 36, 36, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 54, 18, 18, 18, 18, 18, 9, 9, 9, 9, 9, 
  108, 36, 108, 216, 18, 18, 54, 18, 54, 162, 18, 18, 18, 54, 18, 81, 27, 9, 9, 27, 27, 27, 27, 18, 18, 54, 18, 54, 54, 18, 18, 54, 18, 54, 54, 18, 18, 54, 54, 18, 162, 54, 
  9, 9, 9, 27, 9, 27, 27, 27, 27, 81, 54, 18, 162, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 
  18, 18, 18, 18, 18, 18, 18, 18, 18, 108, 9, 18, 9, 9, 9, 9, 9, 18, 9, 18, 18, 9, 18, 27, 54, 18, 18, 18, 18, 18, 18, 36, 54, 54, 54, 27, 27, 9, 162, 54, 18, 54, 486, 
  648, 432, 216, 648, 108, 18, 18, 72, 72, 1080, 144, 144, 144, 144, 144, 12, 12, 48, 48, 48, 48, 48, 144, 1296, 648, 108, 432, 6480, 2592, 216, 864, 216, 72, 288, 72, 
  864, 162, 486, 54, 54, 54, 18, 54, 54, 54, 54, 648, 36, 108, 108, 36, 36, 36, 12, 36, 36, 36, 12, 36, 108, 1620, 108, 108, 3240, 360, 1080, 1080, 216, 72, 72, 
  648, 54, 54, 216, 216, 1944, 72, 216, 216, 18, 18, 72, 24, 72, 216, 18, 6, 18, 18, 18, 18, 18, 18, 6, 18, 18, 18, 6, 18, 18, 18, 9, 27, 54, 9, 27, 
  3, 9, 9, 9, 3, 9, 18, 9, 18, 3, 9, 9, 3, 9, 18, 6, 18, 18, 6, 6, 6, 6, 6, 6, 9, 27, 54, 3, 6, 18, 18, 18, 72, 24, 36, 12, 36, 18, 108, 36, 12, 
  108, 6, 6, 6, 24, 24, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 36, 12, 36, 36, 6, 24, 72, 72, 36, 36, 108, 36, 108, 18, 72, 72, 648, 144, 96, 144, 96, 192, 48, 
  48, 48, 12, 12, 36, 24, 144, 48, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 6, 576, 288, 288, 
  144, 72, 72, 72, 72, 72, 216, 144, 864, 144, 144, 12, 144, 144, 144, 36, 36, 36, 432, 144, 48, 144, 144, 36, 36, 108, 72, 72, 24, 72, 72, 72, 24, 24, 24, 72, 24, 72, 72, 
  18, 18, 6, 18, 18, 96, 96, 48, 24, 72, 48, 12, 12, 48, 48, 48, 48, 12, 12, 36, 36, 108, 12, 36, 36, 36, 36, 36, 18, 18, 54, 18, 12, 18, 
  18, 6, 6, 6, 18, 6, 18, 18, 18, 18, 6, 18, 18, 6, 18, 18, 18, 18, 6, 18, 18, 6, 18, 18, 36, 36, 36, 9, 1512, 72, 216, 216, 216, 36, 12, 36, 36, 36, 12, 12, 3, 24, 12, 
  12, 12, 12, 12, 12, 12, 3, 6, 3, 3, 36, 36, 18, 9, 36, 36, 36, 12, 36, 36, 36, 36, 12, 36, 36, 9, 9, 3, 9, 9, 9, 36, 36, 36, 9, 
  9, 9, 9, 9, 9, 36, 36, 72, 36, 12, 36, 36, 36, 216, 12, 36, 36, 9, 9, 9, 9, 9, 9, 9, 9, 12, 12, 12, 3, 3, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 72, 
  12, 12, 12, 12, 3, 3, 3, 3, 12, 12, 3, 3, 3, 12, 12, 24, 12, 12, 12, 12, 12, 12, 12, 72, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 
  12, 12, 3, 3, 12, 12, 24, 12, 12, 12, 12, 72, 12, 12, 3, 3, 3, 36, 36, 9, 9, 9, 9, 9, 9, 36, 36, 72, 36, 36, 216, 12, 36, 36, 9, 9, 9, 9, 9, 9, 12, 3, 3, 12, 12, 24, 
  12, 12, 12, 72, 3, 3, 3, 36, 36, 3, 9, 9, 9, 9, 9, 36, 36, 72, 36, 36, 216, 9, 18, 6, 6, 9, 18, 36, 9, 9, 9, 36, 36, 72, 216, 
  9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 18, 9, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 18, 
  3, 3, 3, 3, 3, 6, 3, 9, 9, 9, 9, 9, 9, 9, 9, 27, 9, 9, 9, 9, 9, 27, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 9, 9, 18, 18, 9, 144, 48, 96, 192, 
  12, 12, 12, 12, 12, 12, 36, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 72, 96, 48, 48, 12, 12, 12, 12, 36, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 144, 
  24, 24, 12, 12, 12, 12, 36, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 48, 48, 24, 12, 12, 12, 6, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 6, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 6, 12, 
  3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 6, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 6, 3, 3, 3, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 
  3, 9, 3, 3, 3, 3, 9, 18, 72, 48, 72, 48, 48, 12, 36, 36, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 288, 144, 144, 288, 144, 72, 72, 72, 216, 144, 72, 216, 108, 36, 6, 36, 36, 36, 
  36, 216, 24, 72, 36, 108, 18, 18, 6, 6, 18, 18, 18, 18, 18, 36, 108, 12, 12, 36, 36, 36, 18, 54, 18, 18, 6, 6, 6, 18, 6, 18, 18, 18, 
  18, 18, 18, 108, 12, 36, 12, 36, 18, 6, 6, 6, 18, 6, 18, 18, 18, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 3, 9, 18, 9, 27, 9, 9, 9, 9, 9, 
  9, 9, 9, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 6, 3, 6, 3, 9, 3, 6, 3, 6, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 
  27, 9, 36, 24, 36, 12, 12, 12, 12, 48, 12, 12, 12, 36, 6, 6, 6, 6, 6, 6, 6, 18, 12, 6, 36, 12, 144, 72, 72, 72, 144, 72, 72, 72, 144, 72, 72, 216, 72, 72, 3, 36, 36, 36, 
  36, 36, 108, 72, 216, 108, 12, 36, 36, 36, 36, 36, 48, 36, 36, 36, 18, 6, 18, 18, 18, 18, 18, 54, 18, 6, 18, 18, 36, 36, 108, 12, 36, 36, 
  36, 48, 36, 36, 18, 6, 18, 18, 54, 6, 18, 36, 36, 36, 12, 108, 36, 36, 36, 108, 6, 18, 18, 18, 54, 6, 18, 18, 18, 18, 24, 18, 18, 54, 54, 18, 6, 18, 18, 18, 18, 18, 
  18, 18, 6, 18, 18, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 27, 9, 9, 3, 3, 3, 3, 3, 6, 6, 9, 6, 6, 9, 18, 18, 18, 54, 36, 24, 
  24, 12, 12, 12, 12, 12, 12, 12, 12, 48, 12, 12, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, 12, 36, 24, 36, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 18, 12, 36, 12, 48, 12, 12, 6, 6, 6, 6, 12, 6, 6, 18, 18, 18, 3, 9, 6, 9, 6, 27, 18, 36, 12, 12, 12, 12, 12, 12, 12, 
  48, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 12, 48, 36, 12, 12, 12, 12, 12, 48, 12, 12, 12, 72, 6, 6, 6, 6, 6, 6, 12, 6, 18, 12, 48, 12, 12, 36, 12, 12, 
  12, 12, 6, 6, 6, 6, 18, 6, 6, 6, 24, 6, 24, 6, 36, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 
  3, 9, 9, 9, 9, 54, 9, 36, 24, 12, 48, 6, 6, 36, 36, 12, 12, 12, 12, 12, 48, 48, 6, 6, 18, 24, 54, 6, 18, 18, 18, 18, 18, 108, 72, 108, 54, 144, 72, 216, 324, 108, 12, 36, 
  36, 108, 162, 6, 18, 18, 209952, 46656, 648, 972, 7776, 864, 5832, 216, 58320, 1296, 1944, 7776, 5184, 3888, 216, 864, 648, 6480, 432, 216, 216, 38880, 3888, 162, 648, 
  2592, 1944, 19440, 324, 1296, 648, 972, 3888, 216, 324, 648, 58320, 1080, 1620, 36, 9, 9, 18, 18, 432, 432, 108, 108, 108, 432, 72, 36, 9, 54, 27, 108, 648, 432, 324, 
  648, 216, 6480, 4320, 3240, 144, 72, 72, 144, 12960, 720, 360, 360, 32400, 2592, 108, 432, 432, 38880, 540, 2160, 144, 216, 36, 54, 108, 432, 6480, 144, 216, 360, 540, 
  1296, 24, 12, 12, 24, 720, 720, 180, 180, 180, 12, 36, 36, 36, 1080, 720, 540, 432, 144, 216, 6, 48, 72, 72, 72, 72, 72, 72, 288, 24, 24, 216, 288, 72, 
  6, 6, 24, 288, 72, 72, 72, 72, 72, 72, 144, 48, 24, 24, 432, 54, 18, 3, 9, 36, 216, 108, 36, 72, 36, 216, 24, 36, 6, 6, 6, 6, 12, 72, 18, 18, 18, 48, 12, 
  6, 6, 48, 144, 432, 72, 72, 72, 24, 24, 12, 12, 12, 144, 3, 3, 3, 48, 12, 12, 12, 12, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 24, 48, 12, 216, 144, 
  216, 12, 6, 24, 288, 72, 72, 144, 48, 216, 9, 72, 144, 864, 432, 864, 162, 18, 18, 18, 6, 18, 18, 72, 54, 72, 36, 18, 72, 216, 72, 648, 216, 216, 72, 36, 216, 36, 24, 
  36, 23328, 3888, 1296, 324, 324, 324, 864, 432, 432, 648, 108, 108, 324, 2592, 864, 1296, 144, 36, 1296, 1728, 432, 432, 108, 72, 2592, 324, 162, 54, 54, 108, 108, 162, 
  108, 648, 144, 36, 36, 36, 144, 54, 36, 18, 27, 36, 72, 9, 36, 54, 36, 24, 18, 12, 12, 6, 12, 12, 6, 6, 12, 12, 48, 24, 6, 12, 180, 72, 
  9, 24, 18, 3, 6, 9, 36, 54, 18, 6, 18, 18, 6, 18, 24, 6, 6, 6, 6, 12, 12, 6, 6, 36, 6, 6, 6, 24, 6, 3, 34992, 15552, 1296, 972, 216, 1944, 1296, 864, 1296, 432, 108, 
  1296, 648, 648, 972, 144, 108, 324, 524880, 3888, 349920, 3888, 1296, 19440, 3888, 1296, 19440, 1296, 19440, 1296, 108, 432, 3888, 58320, 3240, 1296, 3240, 1296, 648, 
  29160, 648, 216, 3240, 38880, 1296, 432, 6480, 144, 2160, 216, 54, 216, 54, 216, 54, 54, 27, 324, 324, 324, 54, 54, 108, 108, 108, 36, 288, 72, 144, 72, 72, 144, 144, 
  36, 18, 18, 72, 36, 72, 18, 18, 72, 72, 36, 72, 36, 72, 72, 432, 4320, 72, 72, 1080, 54, 216, 216, 18, 2592, 18, 27, 36, 108, 216, 54, 216, 54, 216, 54, 
  18, 72, 72, 432, 18, 108, 216, 6480, 5184, 432, 6480, 2160, 432, 144, 2160, 432, 144, 2592, 432, 324, 1296, 72, 432, 72, 54, 72, 432, 72, 54, 58320, 1080, 432, 77760, 
  2160, 864, 720, 288, 72, 36, 648, 216, 54, 48, 576, 96, 72, 48, 24, 24, 144, 48, 12, 360, 24, 2160, 24, 36, 24, 864, 36, 144, 36, 36, 36, 144, 36, 36, 
  36, 36, 144, 36, 36, 36, 36, 36, 72, 36, 36, 36, 36, 18, 18, 54, 108, 54, 18, 18, 18, 18, 36, 18, 36, 18, 18, 18, 18, 36, 72, 48, 24, 24, 24, 48, 24, 48, 
  48, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 144, 18, 
  72, 18, 72, 18, 144, 72, 18, 9, 9, 108, 36, 36, 9, 9, 36, 36, 18, 36, 18, 36, 36, 144, 12, 96, 12, 48, 12, 48, 12, 48, 48, 12, 6, 6, 24, 12, 24, 6, 
  6, 24, 24, 12, 24, 12, 24, 24, 36, 144, 36, 144, 36, 144, 216, 216, 72, 72, 288, 192, 96, 96, 24, 12, 12, 48, 24, 48, 12, 12, 48, 48, 24, 48, 24, 48, 48, 18, 72, 18, 
  72, 18, 18, 18, 288, 18, 72, 72, 36, 18, 36, 18, 72, 72, 72, 72, 72, 72, 144, 48, 12, 48, 12, 48, 12, 48, 12, 12, 12, 12, 12, 48, 12, 48, 48, 
  12, 12, 48, 12, 12, 48, 48, 48, 12, 48, 48, 12, 48, 48, 48, 48, 48, 18, 9, 18, 108, 18, 108, 108, 18, 9, 18, 18, 54, 216, 24, 12, 6, 12, 36, 72, 12, 24, 24, 24, 12, 
  6, 12, 12, 36, 9, 9, 9, 36, 36, 864, 27, 27, 36, 36, 216, 24, 6, 72, 18, 6, 6, 24, 6, 24, 72, 18, 18, 24, 24, 9, 18, 9, 9, 9, 9, 
  9, 9, 9, 9, 18, 9, 18, 9, 9, 18, 9, 9, 9, 72, 18, 36, 18, 9, 9, 18, 18, 18, 18, 36, 6, 6, 12, 6, 6, 6, 12, 6, 12, 12, 6, 6, 6, 6, 6, 12, 6, 12, 6, 6, 6, 6, 12, 
  6, 12, 6, 6, 6, 6, 12, 6, 12, 6, 6, 12, 6, 12, 6, 6, 12, 12, 6, 6, 12, 12, 12, 12, 12, 18, 9, 9, 9, 9, 9, 9, 9, 18, 9, 9, 18, 
  18, 9, 72, 18, 9, 36, 6, 12, 6, 6, 12, 6, 6, 12, 6, 12, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 6, 6, 12, 6, 12, 6, 6, 6, 12, 6, 6, 6, 12, 6, 12, 6, 6, 12, 12, 6, 12, 
  6, 6, 12, 12, 12, 12, 12, 9, 9, 36, 9, 9, 18, 36, 36, 288, 36, 36, 72, 24, 6, 24, 6, 24, 6, 24, 6, 6, 6, 6, 6, 24, 6, 24, 24, 6, 6, 
  24, 6, 6, 24, 24, 6, 24, 24, 6, 24, 24, 24, 24, 24, 36, 144, 36, 144, 36, 18, 216, 72, 432, 48, 12, 6, 6, 24, 12, 24, 6, 6, 24, 24, 12, 24, 12, 24, 24, 24, 6, 6, 72, 24, 
  24, 24, 12, 12, 96, 24, 48, 12, 12, 48, 48, 24, 48, 24, 48, 48, 6, 6, 6, 12, 6, 6, 12, 6, 12, 24, 12, 12, 6, 18, 6, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 6, 3, 6, 6, 3, 6, 6, 3, 12, 12, 6, 6, 72, 24, 6, 6, 72, 12, 3, 3, 12, 12, 12, 12, 12, 12, 6, 6, 3, 12, 6, 12, 6, 
  12, 6, 3, 6, 12, 6, 12, 6, 12, 12, 24, 12, 12, 6, 18, 6, 3, 6, 3, 3, 6, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 24, 12, 12, 12, 18, 3, 3, 6, 6, 3, 3, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 72, 6, 3, 3, 12, 12, 6, 12, 6, 6, 3, 12, 
  6, 12, 6, 12, 6, 3, 6, 12, 6, 12, 6, 12, 6, 12, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 3, 3, 18, 6, 3, 3, 6, 6, 3, 
  3, 3, 3, 6, 3, 3, 6, 3, 6, 6, 6, 3, 3, 3, 6, 3, 3, 6, 3, 6, 3, 3, 3, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 24, 6, 24, 6, 6, 6, 72, 24, 24, 24, 12, 3, 3, 12, 3, 3, 12, 12, 12, 3, 12, 12, 3, 12, 12, 12, 12, 12, 
  6, 12, 6, 6, 12, 6, 6, 6, 3, 6, 6, 3, 6, 6, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 6, 24, 6, 24, 6, 6, 6, 6, 6, 24, 24, 24, 3, 12, 12, 3, 12, 12, 12, 12, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 6, 24, 6, 24, 6, 6, 24, 24, 24, 24, 12, 12, 12, 12, 12, 12, 6, 24, 6, 24, 6, 6, 24, 12, 12, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 
  6, 6, 24, 6, 24, 6, 24, 24, 24, 12, 6, 12, 6, 6, 12, 6, 6, 6, 6, 24, 6, 24, 6, 24, 12, 12, 6, 24, 6, 24, 6, 24, 36, 144, 432, 864, 
  576, 48, 12, 12, 48, 144, 72, 3240, 4320, 2160, 720, 48, 48, 48, 48, 720, 720, 144, 6480, 24, 24, 360, 1440, 48, 48, 720, 12, 6, 6, 6, 24, 24, 24, 12, 36, 3, 3, 3, 3, 3, 
  3, 3, 12, 12, 12, 12, 12, 12, 12, 6, 24, 6, 24, 6, 24, 3, 12, 36, 24, 36, 144, 288, 144, 1728, 6, 18, 24, 72, 36, 36, 36, 36, 36, 72, 
  36, 216, 18, 6, 12, 6, 6, 18, 12, 48, 144, 144, 288, 72, 6, 6, 6, 24, 24, 24, 24, 36, 144, 288, 96, 3, 6, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 18, 12, 6, 6, 
  18, 6, 3, 9, 6, 6, 6, 6, 6, 6, 6, 3, 6, 3, 6, 30, 6, 6, 3, 6, 6, 3, 30, 3, 3, 3, 3, 3, 18, 12, 3, 6, 6, 9, 6, 6, 9, 3, 
  3, 3, 12, 12, 12, 12, 12, 12, 12, 24, 48, 12, 12, 48, 48, 3, 12, 72, 48, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 36, 24, 72, 12, 18, 6, 6, 144, 36, 144, 
  36, 144, 36, 96, 288, 72, 48, 12, 48, 12, 48, 12, 144, 96, 72, 6, 6, 72, 24, 144, 36, 144, 36, 144, 36, 48, 12, 12, 3, 3, 3, 3, 3, 3, 
  6, 6, 6, 30, 30, 6, 18, 18, 12, 3, 144, 36, 144, 288, 864, 48, 2160, 1440, 1080, 144, 21600, 69984, 7776, 3888, 1296, 324, 27216, 648, 3888, 972, 20736, 864, 1728, 216, 
  864, 2592, 432, 432, 2592, 648, 432, 108, 108, 108, 108, 324, 216, 1296, 216, 216, 216, 54, 54, 864, 288, 288, 2592, 648, 216, 54, 648, 162, 2592, 144, 3456, 144, 144, 
  36, 432, 72, 72, 432, 108, 108, 36288, 648, 648, 9072, 432, 72, 216, 3024, 432, 432, 108, 27, 27, 54, 27, 27, 27, 864, 108, 216, 27, 54, 27, 54, 108, 216, 72, 
  72, 72, 18, 18, 18, 18, 18, 18, 18, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 72, 18, 18, 18, 18, 18, 18, 18, 18, 27, 1296, 5184, 81, 1296, 
  432, 72, 72, 18, 72, 432, 72, 72, 432, 72, 72, 432, 54, 54, 27, 27, 81, 27, 324, 216, 324, 108, 18, 36, 18, 18, 36, 18, 18, 36, 36, 54, 18, 18, 18, 18, 54, 36, 
  108, 36, 1296, 432, 108, 7776, 144, 144, 432, 72, 72, 432, 108, 1296, 72, 1728, 216, 216, 1728, 144, 72, 144, 432, 36, 36, 36, 108, 72, 18, 18, 18, 18, 18, 18, 18, 36, 
  36, 36, 36, 9, 9, 9, 9, 36, 36, 36, 36, 9, 9, 36, 36, 36, 36, 36, 72, 36, 18, 18, 216, 648, 18, 18, 36, 72, 72, 18, 9, 18, 18, 36, 
  36, 36, 36, 36, 36, 36, 36, 36, 36, 18, 18, 18, 18, 18, 54, 18, 18, 18, 18, 18, 18, 18, 18, 18, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 9, 9, 
  54, 9, 27, 9, 9, 9, 9, 9, 36, 36, 36, 18, 18, 216, 36, 18, 36, 18, 36, 18, 36, 36, 18, 36, 72, 72, 18, 36, 216, 216, 36, 72, 18, 18, 18, 18, 18, 
  18, 72, 72, 18, 18, 36, 36, 36, 9, 9, 18, 18, 18, 18, 18, 72, 72, 18, 18, 36, 72, 18, 36, 18, 18, 36, 18, 18, 54, 72, 72, 72, 18, 3024, 432, 432, 432, 72, 72, 72, 
  864, 48, 48, 48, 12, 36, 288, 288, 288, 288, 48, 48, 48, 48, 432, 36, 72, 9, 36, 36, 1728, 216, 216, 432, 144, 24, 24, 24, 144, 24, 24, 144, 144, 18, 216, 
  24192, 1152, 144, 576, 36, 9, 432, 216, 36, 432, 24, 24, 24, 6, 18, 144, 144, 144, 24, 24, 24, 24, 9, 432, 36, 432, 24, 24, 24, 6, 18, 144, 144, 144, 24, 24, 
  24, 24, 72, 9072, 144, 24, 72, 1008, 144, 144, 24, 6, 24, 24, 216, 144, 6, 6, 24, 12, 6, 12, 12, 72, 12, 6, 12, 24, 72, 24, 24, 24, 72, 24, 6, 6, 6, 
  6, 6, 24, 24, 24, 24, 6, 6, 6, 6, 3, 3, 9, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 9, 12, 12, 12, 9, 3, 36, 12, 12, 6, 6, 6, 24, 24, 9, 12, 24, 
  72, 24, 24, 6, 24, 24, 24, 6, 24, 72, 72, 18, 18, 36, 18, 18, 72, 72, 216, 72, 72, 72, 72, 72, 18, 18, 18, 18, 18, 144, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 48, 48, 
  48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 12, 72, 72, 72, 18, 18, 72, 144, 72, 72, 72, 18, 18, 18, 
  18, 144, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 12, 72, 36, 18, 9, 9, 9, 9, 
  9, 9, 36, 72, 36, 36, 144, 36, 72, 9, 9, 9, 9, 9, 9, 72, 24, 24, 24, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 
  6, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 36, 18, 18, 18, 18, 18, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 9, 9, 9, 9, 9, 72, 72, 36, 9, 9, 9, 9, 72, 24, 24, 6, 6, 6, 24, 24, 24, 24, 24, 
  24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 72, 72, 72, 18, 144, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
  48, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 144, 576, 96, 24, 12, 12, 24, 12, 96, 24, 192, 9, 9, 9, 9, 36, 36, 36, 9, 9, 9, 72, 24, 24, 24, 6, 
  6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 72, 9, 9, 9, 9, 108, 54, 18, 144, 24, 24, 
  48, 6, 12, 6, 6, 12, 6, 12, 48, 24, 24, 24, 48, 48, 24, 48, 12, 12, 12, 12, 9, 18, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 36, 9, 36, 12, 6, 6, 12, 6, 
  12, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 18, 9, 9, 
  9, 18, 9, 9, 36, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, 9, 9, 
  18, 72, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 24, 72, 36, 18, 72, 216, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 24, 24, 
  24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 24, 6, 36, 12, 6, 12, 6, 6, 6, 3, 3, 3, 3, 3, 12, 12, 12, 12, 
  12, 12, 3, 3, 3, 3, 3, 3, 3, 24, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 24, 12, 12, 12, 12, 24, 12, 6, 6, 24, 6, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 24, 6, 6, 24, 24, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 
  12, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 3, 3, 6, 3, 3, 12, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 12, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 36, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 
  24, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 24, 6, 6, 24, 24, 6, 
  12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 24, 6, 6, 24, 6, 36, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 24, 24, 6, 12, 12, 12, 3, 3, 3, 3, 6, 
  24, 6, 12, 12, 12, 12, 3, 3, 3, 3, 24, 6, 24, 12, 12, 12, 3, 3, 3, 3, 24, 6, 6, 24, 24, 6, 12, 3, 3, 3, 3, 24, 6, 24, 72, 24, 3, 3, 3, 3, 24, 6, 
  6, 24, 6, 3, 3, 3, 3, 6, 6, 24, 6, 12, 12, 12, 3, 3, 3, 3, 6, 24, 6, 12, 3, 3, 3, 3, 6, 72, 6, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 6, 6, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 
  3, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 6, 6, 6, 3, 6, 6, 6, 6, 72, 144, 432, 18, 18, 144, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 48, 48, 48, 48, 48, 48, 48, 48, 48, 
  48, 48, 48, 48, 48, 48, 12, 12, 12, 12, 12, 12, 12, 12, 432, 9, 432, 1728, 432, 144, 24, 144, 24, 24, 144, 24, 24, 144, 18, 1296, 54, 864, 288, 48, 48, 12, 
  48, 288, 48, 48, 288, 48, 48, 288, 36, 216, 3456, 1152, 144, 96, 24, 144, 9, 18, 9, 18, 9, 9, 54, 54, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 18, 6, 6, 18, 6, 6, 6, 6, 6, 6, 18, 6, 18, 6, 1296, 144, 24, 24, 6, 24, 144, 24, 24, 144, 24, 24, 144, 18, 216, 48, 6, 72, 12, 12, 12, 6, 12, 72, 24, 24, 24, 
  24, 72, 3, 3, 3, 3, 3, 6, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 12, 
  12, 12, 12, 12, 12, 12, 6, 36, 24, 6, 18, 3, 3, 3, 3, 6, 12, 6, 12, 12, 6, 12, 6, 3, 3, 3, 3, 6, 12, 6, 12, 12, 6, 6, 3, 3, 3, 6, 12, 6, 12, 6, 12, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 
  3, 9, 9, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 24, 12, 3, 12, 12, 3, 12, 3, 12, 12, 12, 3, 12, 12, 12, 72, 12, 12, 12, 12, 12, 3, 3, 12, 12, 12, 3, 12, 3, 9, 18, 18, 18, 18, 
  18, 18, 18, 18, 54, 18, 18, 18, 18, 18, 54, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 36, 18, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 108, 18, 9, 9, 9, 9, 108, 
  108, 36, 6, 18, 6, 6, 6, 6, 18, 12, 36, 12, 36, 18, 18, 18, 216, 72, 12, 24, 12, 12, 24, 12, 12, 24, 24, 36, 12, 12, 12, 12, 36, 24, 72, 24, 72, 18, 9, 144, 24, 6, 48, 
  12, 24, 12, 6, 6, 12, 6, 12, 12, 12, 6, 12, 12, 36, 18, 18, 54, 18, 324, 36, 6, 12, 6, 6, 12, 6, 6, 12, 12, 18, 6, 6, 6, 6, 
  18, 12, 36, 12, 6, 6, 6, 6, 54, 12, 12, 12, 12, 18, 3, 3, 18, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 9, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  12, 6, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 18, 54, 3, 6, 3, 3, 6, 6, 3, 6, 3, 3, 6, 3, 6, 6, 6, 3, 3, 6, 6, 3, 6, 3, 3, 6, 3, 3, 
  6, 3, 6, 3, 6, 3, 6, 6, 3, 3, 3, 6, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 9, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 6, 
  12, 6, 6, 6, 12, 6, 18, 3, 3, 6, 6, 3, 3, 3, 6, 3, 6, 6, 6, 6, 3, 6, 3, 3, 3, 3, 6, 3, 6, 3, 6, 6, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 18, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 12, 6, 12, 6, 3, 6, 3, 6, 6, 6, 6, 3, 3, 6, 3, 3, 6, 6, 3, 3, 3, 3, 6, 6, 12, 
  6, 12, 6, 3, 6, 3, 6, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 9, 9, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 3, 3, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 12, 6, 6, 18, 12, 6, 6, 12, 6, 6, 12, 6, 6, 6, 12, 6, 
  18, 288, 288, 144, 144, 144, 144, 144, 144, 144, 24, 24, 24, 24, 24, 24, 12, 2304, 432, 24, 576, 72, 72, 576, 48, 24, 72, 1152, 5760, 72, 72, 576, 576, 48, 12, 48, 72, 
  12, 144, 288, 72, 72, 72, 144, 24, 12, 24, 12, 12, 12, 12, 12, 12, 12, 3, 12, 144, 288, 72, 12, 12, 12, 24, 12, 24, 12, 12, 3, 1152, 5760, 48, 
  12, 48, 96, 12, 96, 96, 48, 96, 12, 3, 12, 3, 12, 18, 48, 48, 48, 24, 12, 12, 6, 12, 6, 12, 96, 96, 72, 12, 12, 12, 12, 12, 24, 24, 24, 24, 6, 6, 6, 6, 24, 
  24, 24, 24, 6, 6, 24, 24, 24, 24, 96, 72, 12, 12, 12, 12, 12, 24, 24, 24, 24, 6, 6, 6, 6, 24, 24, 24, 24, 6, 6, 24, 24, 24, 24, 24, 72, 24, 36, 
  24, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 48, 144, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 
  6, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 6, 6, 9, 12, 6, 6, 6, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 9, 12, 6, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 12, 3, 3, 24, 12, 24, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 24, 12, 12, 12, 12, 12, 12, 36, 12, 3, 3, 3, 3, 
  3, 3, 12, 12, 12, 12, 12, 24, 24, 12, 12, 12, 12, 12, 3, 24, 48, 24, 12, 12, 12, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 24, 48, 12, 3, 3, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 3, 24, 48, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 3, 3, 3, 3, 3, 3, 6, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 6, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 6, 12, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 
  3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 24, 12, 24, 3, 3, 3, 3, 3, 12, 24, 12, 12, 24, 12, 12, 24, 24, 3, 3, 
  3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 12, 3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 24, 3, 
  3, 3, 3, 3, 3, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 3, 3, 3, 3, 3, 6, 12, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 12, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 3, 24, 48, 12, 24, 96, 24, 12, 24, 48, 12, 24, 48, 24, 24, 24, 24, 24, 36, 
  48, 12, 12, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 48, 12, 48, 12, 48, 96, 72, 6, 6, 6, 6, 12, 12, 24, 12, 24, 12, 6, 
  6, 6, 12, 12, 24, 12, 24, 6, 6, 6, 12, 12, 24, 24, 12, 36, 6, 2160, 24, 24, 36, 36, 18, 12, 3, 3, 3, 3, 3, 6, 3, 3, 12, 36, 6, 3, 6, 6, 12, 6, 3, 6, 
  6, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 3, 3, 12, 36, 6, 6, 3, 6, 12, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 12, 3, 12, 3, 6, 6, 24, 48, 24, 12, 12, 24, 12, 3, 3, 6, 3, 6, 6, 6, 3, 6, 6, 6, 3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 3, 6, 6, 6, 3, 
  6, 6, 12, 3, 12, 48, 3, 3, 3, 3, 3, 3, 3, 3, 12, 12, 3, 6, 48, 6, 3, 6, 6, 3, 6, 3, 6, 3, 3, 6, 6, 3, 3, 6, 3, 3, 6, 3, 6, 3, 15, 6, 12, 6, 3, 6, 
  6, 3, 3, 18, 3, 3, 3, 6, 6, 3, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 6, 3, 6, 3, 6, 3, 3, 3, 6, 6, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 12, 12, 3, 12, 12, 3, 6, 6, 3, 6, 6, 6, 6, 3, 3, 6, 3, 3, 12, 12, 12, 6, 
  3, 6, 6, 3, 12, 3, 12, 3, 24, 24, 24, 24, 24, 24, 24, 36, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 24, 24, 36, 24, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 36, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 24, 24, 24, 36, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 18, 12, 12, 12, 12, 12, 12, 6, 12, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 6, 6, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 9, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 
  6, 6, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 24, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 
  6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 6, 3, 3, 6, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  6, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 24, 3, 3, 6, 6, 3, 3, 3, 
  3, 3, 3, 3, 6, 6, 3, 6, 6, 3, 3, 3, 3, 9, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 9, 6, 3, 3, 6, 12, 3, 6, 6, 3, 9, 3, 3, 3, 3, 6, 6, 6, 3, 12, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 6, 12, 3, 
  3, 3, 6, 3, 3, 6, 12, 24, 36, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 48, 48, 48, 24, 6, 24, 24, 24, 24, 6, 24, 24, 24, 24, 6, 24, 24, 24, 48, 
  72, 144, 192, 24, 12, 24, 12, 24, 24, 12, 12, 24, 6, 24, 24, 24, 12, 24, 6, 24, 24, 24, 12, 12, 12, 24, 48, 24, 3, 12, 12, 12, 3, 12, 12, 12, 6, 3, 
  12, 24, 24, 6, 6, 6, 3, 6, 3, 6, 3, 3, 12, 12, 12, 24, 3, 12, 12, 12, 3, 12, 12, 12, 6, 24, 12, 3, 18, 3, 18, 12, 24, 48, 24, 6, 12, 12, 12, 6, 
  12, 24, 24, 6, 6, 3, 3, 12, 24, 6, 12, 12, 12, 12, 24, 24, 6, 12, 24, 24, 12, 24, 48, 48, 48, 12, 48, 24, 24, 24, 24, 24, 24, 6, 6, 144, 24, 432, 576, 24, 144, 
  144, 24, 144, 24, 24, 144, 144, 12, 12, 3, 12, 24, 24, 12, 12, 72, 12, 144, 288, 72, 12, 288, 12, 12, 36, 3, 24, 48, 48, 12, 48, 24, 24, 24, 24, 6, 
  6, 48, 48, 12, 48, 24, 24, 6, 6, 12, 12, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 6, 72, 96, 24, 24, 24, 24, 24, 6, 6, 6, 6, 
  24, 24, 12, 36, 3, 24, 48, 24, 12, 3, 48, 12, 3, 24, 3, 3, 6, 6, 6, 6, 3, 9, 6, 12, 48, 24, 24, 48, 48, 12, 12, 6, 24, 72, 96, 24, 24, 24, 12, 48, 48, 
  144, 432, 576, 12, 6, 36, 108, 144, 12, 18, 72, 11664, 3888, 324, 2592, 432, 216, 432, 432, 216, 108, 108, 108, 108, 216, 216, 108, 432, 162, 432, 108, 324, 108, 144, 72, 
  144, 144, 27, 27, 27, 27, 54, 54, 108, 108, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 36, 18, 18, 18, 18, 18, 18, 
  36, 18, 18, 18, 18, 18, 18, 36, 18, 36, 18, 216, 1296, 1296, 36, 18, 18, 18, 36, 18, 144, 27, 27, 18, 18, 18, 18, 108, 36, 36, 36, 72, 18, 36, 18, 9, 9, 9, 9, 18, 18, 
  18, 18, 9, 9, 9, 9, 18, 9, 9, 9, 9, 9, 9, 9, 36, 36, 36, 36, 36, 18, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 
  18, 18, 18, 9, 9, 9, 9, 9, 9, 36, 9, 9, 9, 9, 9, 9, 9, 9, 36, 36, 18, 9, 9, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 18, 18, 72, 36, 108, 36, 9, 9, 9, 9, 9, 18, 18, 18, 18, 
  18, 18, 36, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 36, 18, 18, 
  18, 18, 18, 18, 18, 18, 18, 54, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 36, 18, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 
  18, 9, 9, 18, 9, 9, 18, 18, 18, 18, 9, 9, 18, 18, 18, 9, 9, 9, 9, 18, 18, 18, 9, 18, 18, 18, 54, 18, 9, 18, 18, 18, 9, 9, 9, 
  18, 18, 18, 9, 18, 18, 72, 18, 18, 36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 54, 
  36, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 18, 72, 36, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 18, 18, 72, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 
  12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 24, 12, 12, 12, 12, 12, 12, 24, 12, 24, 12, 9, 9, 72, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 12, 18, 108, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 12, 6, 6, 6, 3, 3, 
  6, 3, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 6, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 3, 6, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 6, 
  3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 6, 3, 3, 3, 3, 6, 6, 3, 3, 6, 3, 6, 6, 6, 6, 6, 3, 3, 6, 6, 3, 
  3, 6, 6, 3, 3, 6, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 18, 18, 6, 6, 6, 6, 18, 18, 36, 12, 48, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, 12, 6, 12, 12, 6, 
  12, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 9, 18, 6, 3, 3, 6, 3, 3, 3, 3, 
  3, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 18, 36, 6, 6, 9, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 
  3, 6, 6, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 6, 3, 6, 12, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 6, 12, 6, 3, 6, 3, 6, 6, 3, 3, 3, 3, 6, 3, 6, 72, 24, 24, 12, 
  6, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 12, 12, 6, 6, 6, 6, 12, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 12, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 6, 3, 3, 
  3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 9, 3, 3, 3, 3, 3, 15, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 
  6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 6, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 6, 6, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 6, 3, 3, 6, 3, 3, 3, 6, 3, 6, 3, 6, 
  3, 6, 3, 6, 6, 3, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 24, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 12, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 
  12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 24, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 6, 3, 6, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 6, 6, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 6, 3, 3, 3, 6, 3, 3, 6, 6, 3, 6, 3, 6, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 18, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 3, 3, 6, 3, 3, 6, 6, 3, 3, 6, 6, 6, 6, 6, 6, 6, 6, 24, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 12, 12, 12, 12, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 9, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 15, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 6, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 
  12, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 6, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 12, 12, 12, 12, 24, 72, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 72, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 36, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 6, 3, 3, 3, 3, 3, 3, 15, 3, 3, 3, 3, 3, 3, 30, 3, 6, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 12, 
  6, 6, 6, 6, 3, 6, 12, 6, 6, 6, 12, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 48, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 
  3, 3, 3, 6, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 6, 3, 6, 
  3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 
  3, 6, 12, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 6, 12, 3, 6, 12, 6, 12, 6, 6, 12, 6, 6, 24, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 36, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 3, 3, 6, 3, 3, 6, 3, 3, 6, 3, 3, 3, 6, 3, 6, 6, 6, 3, 
  3, 3, 3, 6, 6, 3, 3, 3, 3, 6, 6, 6, 3, 3, 3, 3, 3, 6, 3, 6, 3, 3, 3, 6, 3, 6, 3, 9, 6, 3, 9, 3, 6, 3, 9, 6, 6, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 18, 24, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 
  12, 3, 3, 3, 6, 12, 3, 6, 6, 12, 3, 12, 12, 6, 3, 3, 6, 6, 3, 3, 6, 3, 3, 3, 3, 3, 3, 3, 3, 6, 3, 3, 3, 6, 6, 3, 3, 18, 24, 6, 6, 12, 3, 6, 6, 12, 3, 6, 12, 6, 
  12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 12, 6, 6, 6, 6, 6, 18, 24, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 24, 6, 6, 12, 9, 6, 3, 3, 3, 3, 12, 
  6, 12, 6, 6, 6, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 18, 24, 6, 12, 12, 6, 6, 6, 6, 12, 24, 36, 12, 6, 6, 6, 6, 12, 6, 6, 6, 
  6, 6, 6, 6, 6, 18, 6, 12, 12, 12, 6, 12, 12, 6, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 48, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 6, 12, 12, 6, 
  6, 6, 6, 6, 6, 18, 24, 6, 6, 6, 12, 34992, 5184, 5184, 108, 432, 108, 432, 1296, 1944, 2592, 1296, 432, 144, 36, 36, 144, 36, 144, 144, 3888, 72, 18, 72, 864, 144, 36, 
  144, 36, 36, 18, 18, 72, 36, 36, 18, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 9, 18, 18, 9, 9, 36, 108, 9, 9, 36, 36, 36, 36, 36, 9, 
  9, 9, 9, 9, 54, 36, 108, 144, 24, 24, 24, 24, 24, 24, 6, 144, 24, 6, 24, 24, 24, 24, 24, 48, 96, 12, 24, 24, 3, 3, 3, 3, 48, 96, 48, 12, 24, 12, 12, 12, 12, 12, 12, 12, 
  12, 6, 6, 6, 6, 432, 576, 288, 6, 6, 6, 6, 6, 24, 24, 24, 6, 24, 24, 24, 24, 3, 12, 3, 3, 3, 3, 3, 3, 3, 12, 3, 3, 3, 
  3, 48, 12, 3, 12, 24, 24, 6, 3, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 6, 
  6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 6, 3, 3, 3, 3, 6, 3, 3, 6, 9, 9, 3, 3, 6, 3, 3, 6, 3, 6, 
  12, 3, 6, 6, 6, 6, 30, 6, 6, 6, 18, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 144, 96, 48, 24, 72, 6, 6, 24, 24, 24, 24, 24, 24, 24, 
  24, 144, 48, 24, 72, 6, 6, 24, 24, 72, 96, 24, 24, 6, 6, 24, 24, 24, 24, 24, 24, 24, 24, 6, 6, 24, 24, 24, 24, 24, 24, 24, 96, 12, 12, 9, 6, 6, 3, 3, 6, 3, 6, 6, 
  12, 96, 12, 24, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 36, 6, 24, 12, 6, 6, 6, 6, 6, 6, 6, 
  6, 6, 18, 12, 6, 18, 24, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 3, 3, 18, 9, 6, 18, 96, 48, 24, 72, 48, 24, 72, 96, 24, 24, 24, 24, 288, 34992, 648, 324, 108, 9, 
  9, 108, 18, 54, 9, 9, 36, 108, 108, 18, 18, 12, 36, 6, 6, 6, 12, 12, 108, 12, 18, 12, 24, 24, 12, 12, 12, 12, 6, 12, 12, 6, 6, 6, 
  12, 12, 6, 6, 23328, 648, 54, 432, 216, 18, 18, 72, 72, 18, 72, 36, 864, 27, 27, 72, 72, 9, 18, 18, 36, 18, 18, 18, 18, 18, 36, 288, 72, 18, 18, 6, 12, 6, 12, 48, 576, 
  18, 18, 24, 24, 48, 6, 6, 24, 48, 48, 24, 18, 18, 6, 12, 6, 6, 12, 12, 6, 12, 12, 6, 6, 6, 6, 12, 6, 12, 12, 12, 12, 12, 12, 
  6, 12, 12, 6, 6, 6, 6, 6, 6, 12, 12, 6, 6, 6, 12, 12, 12, 24, 6, 6, 12, 6, 24, 48, 48, 96, 96, 192, 5832, 162, 216, 18, 18, 54, 12, 12, 24, 24, 24, 34992, 15552, 11664, 
  108, 324, 1296, 1296, 144, 18, 54, 36, 54, 288, 72, 18, 18, 36, 36, 36, 9, 18, 36, 216, 18, 24, 12, 12, 12, 12, 12, 12, 6, 6, 12, 6, 6, 6, 
  6, 6, 6, 6, 18, 24, 12, 12, 12, 12, 6, 6, 6, 24, 6, 12, 6, 36, 24, 12, 12, 36, 12, 18, 24, 12, 15, 15, 24, 54, 12, 12, 72, 144, 18, 36, 12, 24, 24, 36, 24, 54, 12, 
  72, 11664, 288, 72, 432, 216 ];