ftp.mactech.com 2010/ftp.mactech.com.tar/ftp.mactech.com/challenge/13.12/Challenge.sit.hqx/Challenge/BitsOn.c

Text File | 1997-10-23 | 201KB | 4,105 lines

/*    BitsOn.c    © Ludovic Nicolle
an array of 65536 char giving the number of 1's
in any 16 bit number.
*/


unsigned char    gBitsOn[256*256] = {
 0, 1, 1, 2, 1, 2, 2, 3, 1, 2, 2, 3, 2, 3, 3, 4,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 1, 2, 2, 3, 2, 3, 3, 4, 2, 3, 3, 4, 3, 4, 4, 5,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 2, 3, 3, 4, 3, 4, 4, 5, 3, 4, 4, 5, 4, 5, 5, 6,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 3, 4, 4, 5, 4, 5, 5, 6, 4, 5, 5, 6, 5, 6, 6, 7,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 4, 5, 5, 6, 5, 6, 6, 7, 5, 6, 6, 7, 6, 7, 7, 8,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 5, 6, 6, 7, 6, 7, 7, 8, 6, 7, 7, 8, 7, 8, 8, 9,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 6, 7, 7, 8, 7, 8, 8, 9, 7, 8, 8, 9, 8, 9, 9,10,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 7, 8, 8, 9, 8, 9, 9,10, 8, 9, 9,10, 9,10,10,11,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 8, 9, 9,10, 9,10,10,11, 9,10,10,11,10,11,11,12,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
 9,10,10,11,10,11,11,12,10,11,11,12,11,12,12,13,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
10,11,11,12,11,12,12,13,11,12,12,13,12,13,13,14,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
11,12,12,13,12,13,13,14,12,13,13,14,13,14,14,15,
12,13,13,14,13,14,14,15,13,14,14,15,14,15,15,16
};