2,0,0,0,0,2,0,0,0,3,3,0,0,0,4,2,0,0,0,5,31,1,0,0,6,31,1,0,0,7,2,0,0,0,8,2,0,0,0,9,31,1,0,0,10,4,0,1,0,2,4,0,1,0,3,4,0,1,0,4,4,0,1,0,5,4,0,1,0,6,4,0,1,0,7,4,0,1,0,8,4,0,1,0,9,2,0,1,0,10,4,0,2,0,1,17,1,2,0,2,85,0,2,0,5,98,2,2,0,6,4,0,2,0,7,4,0,2,0,8,17,1,2,0,9,4,0,2,0,10,2,0,2,0,11,31,1,3,0,0,67,1,3,0,1,67,2,3,0,5,44,11,3,0,6,4,0,3,0,10,31,1,4,0,0,4,0,4,0,1,4,0,4,0,10,2,0,5,0,0,4,0,5,0,1,4,0,5,0,10,5,0,6,0,0,4,0,6,0,1,4,0,6,0,10,2,0,6,0,11,44,3,7,0,0,4,0,7,0,1,67,2,7,0,10,3,0,7,0,11,5,0,8,0,0,4,0,8,0,1,35,12,8,0,2,4,0,8,0,10,2,0,8,0,11,2,0,9,0,0,4,0,9,0,1,17,1,9,0,2,35,12,9,0,3,35,12,9,0,4,4,0,9,0,10,2,0,10,0,0,4,0,10,0,1,43,3,10,0,2,4,0,10,0,3,4,0,10,0,4,4,0,10,0,5,1,0,10,0,6,17,1,10,0,8,4,0,10,0,10,2,0,10,0,11,2,0,11,0,1,3,0,11,0,2,2,0,11,0,3,2,0,11,0,4,3,0,11,0,5,3,0,11,0,6,4,0,11,0,7,4,0,11,0,8,4,0,11,0,9,31,1,11,0,10,31,1,0,1,3,2,0,0,1,4,31,1,0,1,8,31,1,0,1,9,4,0,1,1,2,4,0,1,1,3,4,0,1,1,4,4,0,1,1,5,4,0,1,1,6,4,0,1,1,7,4,0,1,1,8,4,0,1,1,9,31,1,1,1,10,4,0,2,1,1,17,1,2,1,2,50,5,2,1,5,4,0,2,1,6,4,0,2,1,7,98,2,2,1,8,17,1,2,1,9,4,0,2,1,10,4,0,3,1,1,67,2,3,1,6,44,11,3,1,7,4,0,3,1,10,4,0,4,1,1,4,0,4,1,10,63,7,5,1,0,4,0,5,1,1,67,1,5,1,10,5,0,6,1,0,118,0,6,1,1,4,0,6,1,2,4,0,6,1,10,31,1,6,1,11,4,0,7,1,2,4,0,7,1,10,2,0,7,1,11,5,0,8,1,0,67,0,8,1,1,44,11,8,1,2,44,11,8,1,9,4,0,8,1,10,43,3,9,1,1,17,1,9,1,2,35,12,9,1,3,4,0,9,1,10,31,1,10,1,0,43,3,10,1,1,43,3,10,1,2,4,0,10,1,3,4,0,10,1,4,4,0,10,1,5,1,0,10,1,6,17,1,10,1,8,67,3,10,1,10,31,1,11,1,1,2,0,11,1,2,2,0,11,1,5,44,3,11,1,6,4,0,11,1,7,67,1,11,1,8,4,0,11,1,9,31,1,0,2,4,44,3,1,2,2,44,3,1,2,3,4,0,1,2,4,98,2,1,2,5,98,2,1,2,6,4,0,1,2,7,44,3,1,2,8,44,3,1,2,9,44,3,2,2,1,17,1,2,2,2,98,2,2,2,3,44,11,2,2,4,98,2,2,2,6,4,0,2,2,7,4,0,2,2,8,17,1,2,2,9,44,3,2,2,10,44,3,3,2,1,98,2,3,2,2,44,3,3,2,7,44,11,3,2,8,4,0,3,2,9,2,0,3,2,10,4,0,4,2,1,4,0,4,2,2,44,11,4,2,7,4,0,4,2,9,4,0,4,2,10,98,2,5,2,1,67,6,5,2,9,98,2,5,2,10,53,0,6,2,0,4,0,6,2,2,98,2,6,2,10,4,0,7,2,2,4,0,7,2,10,31,1,7,2,11,53,1,8,2,0,4,0,8,2,2,4,0,8,2,9,44,3,8,2,10,44,3,9,2,0,17,1,9,2,2,4,0,9,2,3,44,11,9,2,4,4,0,9,2,7,4,0,9,2,8,4,0,9,2,9,44,3,10,2,1,67,2,10,2,2,4,0,10,2,3,4,0,10,2,4,4,0,10,2,5,3,0,10,2,6,43,3,10,2,7,17,1,10,2,8,4,0,10,2,9,85,0,11,2,2,31,1,11,2,5,2,0,11,2,7,2,0,1,3,5,17,1,2,3,2,98,2,2,3,3,4,0,2,3,4,43,3,2,3,5,4,0,2,3,6,98,2,2,3,7,4,0,2,3,8,17,1,2,3,9,4,0,3,3,2,4,0,3,3,3,4,0,3,3,9,31,1,3,3,10,98,2,4,3,2,44,3,4,3,8,98,2,4,3,9,4,0,5,3,2,44,11,5,3,8,4,0,5,3,9,4,0,6,3,2,4,0,6,3,9,44,2,7,3,0,4,0,7,3,2,4,0,7,3,9,98,2,8,3,2,98,2,8,3,9,17,1,9,3,2,4,0,9,3,3,4,0,9,3,4,4,0,9,3,5,4,0,9,3,6,4,0,9,3,7,4,0,9,3,8,17,1,9,3,9,67,2,10,3,3,67,7,10,3,4,4,0,10,3,5,67,1,10,3,6,4,0,10,3,7,4,0,10,3,8,98,2,10,3,9,50,5,11,3,2,31,1,11,3,7,31,1,1,4,5,17,1,2,4,2,17,1,2,4,3,4,0,2,4,4,4,0,2,4,5,98,2,2,4,6,4,0,2,4,7,17,1,2,4,8,17,1,2,4,9,17,1,3,4,2,5,2,3,4,3,5,2,3,4,4,4,0,3,4,5,17,1,3,4,9,4,0,4,4,2,5,2,4,4,3,5,2,4,4,4,5,2,4,4,5,44,10,4,4,6,4,0,4,4,9,4,0,5,4,2,5,2,5,4,3,5,2,5,4,4,5,2,5,4,5,5,2,5,4,6,44,10,5,4,7,98,2,5,4,9,67,6,6,4,2,5,2,6,4,3,5,2,6,4,4,5,2,6,4,5,5,2,6,4,6,5,2,6,4,7,44,3,6,4,8,4,0,6,4,9,67,2,7,4,2,5,2,7,4,3,5,2,7,4,4,5,2,7,4,5,5,2,7,4,6,5,2,7,4,7,5,2,7,4,8,98,2,7,4,9,17,1,8,4,2,5,2,8,4,3,5,2,8,4,4,5,2,8,4,5,5,2,8,4,6,5,2,8,4,7,5,2,8,4,8,17,1,8,4,9,17,1,9,4,2,17,1,9,4,3,4,0,9,4,4,4,0,9,4,5,4,0,9,4,6,4,0,9,4,7,4,0,9,4,8,17,1,9,4,9,67,2,10,4,4,4,0,10,4,5,4,0,10,4,6,67,5,10,4,7,4,0,10,4,8,17,1,2,5,2,4,0,2,5,3,4,0,2,5,4,4,0,2,5,5,67,0,2,5,6,4,0,2,5,7,4,0,2,5,8,17,1,2,5,9,4,0,3,5,2,4,0,3,5,4,4,0,3,5,5,4,0,3,5,9,4,0,4,5,2,4,0,4,5,3,65,5,4,5,4,44,2,4,5,6,4,0,4,5,9,4,0,5,5,2,44,2,5,5,7,4,0,5,5,9,4,0,6,5,2,67,7,6,5,9,98,2,7,5,2,4,0,7,5,9,4,0,8,5,2,67,0,8,5,6,4,0,8,5,9,17,1,9,5,2,98,2,9,5,3,4,0,9,5,4,4,0,9,5,5,98,1,9,5,6,4,0,9,5,7,4,0,9,5,8,17,1,9,5,9,44,3,10,5,5,44,3,10,5,6,44,3,10,5,7,53,7,10,5,8,53,5,11,5,6,72,0,2,6,2,17,1,2,6,3,4,0,2,6,4,67,4,2,6,5,4,0,2,6,6,98,2,2,6,7,17,1,2,6,8,72,0,2,6,9,17,1,3,6,2,4,0,3,6,4,4,0,3,6,5,17,1,3,6,9,4,0,4,6,2,4,0,4,6,3,65,5,4,6,4,4,0,4,6,9,67,2,5,6,2,85,0,5,6,3,67,3,5,6,9,67,6,6,6,2,67,7,6,6,9,4,0,7,6,2,4,0,7,6,9,17,1,8,6,2,77,2,8,6,7,17,1,8,6,9,72,0,9,6,2,17,1,9,6,3,4,0,9,6,4,4,0,9,6,5,71,0,9,6,6,4,0,9,6,7,17,1,9,6,8,72,0,9,6,9,77,1,10,6,7,44,2,10,6,8,44,2,11,6,5,44,2,11,6,6,44,2,11,6,7,67,0,2,7,3,4,0,2,7,4,4,0,2,7,5,4,0,2,7,6,4,0,2,7,7,67,0,2,7,8,67,2,3,7,2,4,0,3,7,4,4,0,3,7,5,67,3,3,7,9,4,0,4,7,2,4,0,4,7,3,65,5,4,7,4,67,5,4,7,5,4,0,4,7,9,4,0,5,7,2,50,5,5,7,3,4,0,5,7,9,4,0,6,7,2,4,0,6,7,9,4,0,7,7,2,4,0,7,7,9,67,2,8,7,2,68,4,8,7,7,67,3,8,7,9,67,1,9,7,3,4,0,9,7,4,4,0,9,7,5,71,8,9,7,6,4,0,9,7,7,67,1,9,7,8,4,0,2,8,4,67,0,2,8,5,4,0,2,8,6,4,0,2,8,7,35,8,3,8,3,4,0,3,8,4,4,0,3,8,5,44,11,3,8,6,44,10,3,8,7,35,8,3,8,8,4,0,4,8,2,4,0,4,8,3,65,5,4,8,4,4,0,4,8,5,44,10,4,8,8,4,0,4,8,9,4,0,5,8,2,44,11,5,8,3,44,10,5,8,5,44,11,5,8,8,67,7,5,8,9,4,0,6,8,2,44,11,6,8,3,44,11,6,8,8,4,0,6,8,9,67,6,7,8,2,44,10,7,8,3,44,10,7,8,8,4,0,7,8,9,35,8,8,8,3,44,10,8,8,4,44,11,8,8,5,44,11,8,8,6,44,10,8,8,7,35,8,8,8,8,4,0,9,8,4,4,0,9,8,5,4,0,9,8,6,67,5,9,8,7,44,3,2,9,4,67,0,2,9,5,67,0,2,9,6,5,0,3,9,3,35,0,3,9,4,35,0,3,9,5,35,0,3,9,6,5,3,3,9,7,5,0,3,9,8,5,3,4,9,3,65,5,4,9,4,44,2,4,9,5,44,2,4,9,7,35,0,4,9,8,67,2,5,9,2,35,0,5,9,3,44,2,5,9,4,44,2,5,9,7,35,0,5,9,8,67,3,5,9,9,67,2,6,9,2,35,0,6,9,3,44,2,6,9,4,44,2,6,9,5,44,2,6,9,6,44,2,6,9,7,35,0,6,9,8,67,3,6,9,9,44,3,7,9,2,35,0,7,9,3,44,2,7,9,4,44,2,7,9,5,44,2,7,9,6,44,2,7,9,7,35,0,7,9,8,44,3,7,9,9,5,0,8,9,3,35,0,8,9,4,35,0,8,9,5,35,0,8,9,6,35,0,8,9,7,5,0,8,9,8,44,3,9,9,4,67,1,9,9,5,67,1,9,9,6,5,0,3,10,3,35,0,3,10,4,35,0,3,10,5,35,0,3,10,6,35,0,3,10,7,5,0,3,10,8,35,0,4,10,3,65,5,4,10,4,35,0,4,10,8,35,0,7,10,3,35,0,7,10,8,5,0,8,10,3,35,0,8,10,4,35,0,8,10,7,5,0,8,10,8,5,0,3,11,3,5,3,3,11,4,35,0,3,11,5,35,0,3,11,6,5,3,3,11,7,5,0,3,11,8,35,0,4,11,3,65,5,4,11,4,35,0,4,11,8,44,6,5,11,2,44,14,5,11,3,44,10,5,11,4,44,14,5,11,8,44,6,5,11,9,44,6,6,11,2,44,14,6,11,3,44,14,6,11,8,44,6,6,11,9,5,3,7,11,3,35,0,7,11,8,5,0,8,11,3,35,0,8,11,4,44,14,8,11,5,44,14,8,11,6,5,3,8,11,7,5,0,8,11,8,44,6,9,11,5,44,6,9,11,6,53,2,3,12,3,5,0,3,12,4,35,0,3,12,5,5,3,3,12,6,5,0,3,12,7,53,3,3,12,8,5,0,4,12,3,65,5,4,12,4,44,10,4,12,6,44,10,4,12,7,5,0,4,12,8,35,0,5,12,3,44,10,5,12,6,44,10,5,12,7,35,0,5,12,8,35,0,6,12,3,44,2,6,12,4,44,10,6,12,5,44,10,6,12,7,35,0,6,12,8,5,0,7,12,3,44,10,7,12,4,44,10,7,12,5,44,10,7,12,6,44,10,7,12,7,5,0,7,12,8,53,2,8,12,3,5,0,8,12,4,35,0,8,12,5,35,0,8,12,6,5,0,8,12,7,53,3,8,12,8,5,0,3,13,4,35,0,3,13,5,35,0,3,13,6,5,0,3,13,7,5,0,4,13,3,65,5,4,13,4,44,10,4,13,5,118,0,4,13,6,35,12,4,13,7,5,0,4,13,8,35,0,5,13,3,35,0,5,13,8,5,3,6,13,3,35,12,6,13,7,5,3,6,13,8,5,0,7,13,3,54,4,7,13,5,35,12,7,13,6,35,12,7,13,7,5,0,7,13,8,5,0,8,13,4,35,0,8,13,5,5,3,8,13,6,5,0,8,13,7,5,0,3,14,4,35,0,3,14,5,35,0,3,14,6,5,0,3,14,7,5,0,4,14,3,65,5,4,14,4,5,0,4,14,5,54,5,4,14,7,5,0,4,14,8,5,3,5,14,3,44,10,5,14,4,5,3,5,14,8,35,0,6,14,3,35,12,6,14,7,35,0,6,14,8,5,0,7,14,3,118,0,7,14,6,35,12,7,14,7,5,0,7,14,8,5,0,8,14,4,5,3,8,14,5,35,0,8,14,6,5,0,8,14,7,17,1,2,15,4,17,1,2,15,7,121,0,3,15,3,5,0,3,15,4,5,0,3,15,5,5,0,3,15,6,5,0,3,15,7,121,0,3,15,8,17,1,4,15,2,5,0,4,15,3,65,5,4,15,4,5,0,4,15,5,44,10,4,15,6,44,10,4,15,7,5,0,4,15,8,17,1,4,15,9,5,0,5,15,3,43,2,5,15,4,53,5,5,15,5,44,10,5,15,7,5,0,5,15,8,5,0,6,15,3,44,10,6,15,4,44,10,6,15,7,5,0,6,15,8,17,1,7,15,2,5,0,7,15,3,44,10,7,15,4,44,10,7,15,5,44,10,7,15,6,44,10,7,15,7,5,0,7,15,8,17,1,7,15,9,121,0,8,15,3,5,0,8,15,4,5,0,8,15,5,5,0,8,15,6,5,0,8,15,7,121,0,8,15,8,17,1,9,15,4,17,0,9,15,7,44,10,2,16,2,43,2,2,16,3,53,0,2,16,4,53,0,2,16,5,53,0,2,16,6,53,0,2,16,7,43,2,2,16,8,44,10,2,16,9,43,2,3,16,2,5,2,3,16,3,5,2,3,16,4,5,2,3,16,5,5,2,3,16,6,5,2,3,16,7,5,2,3,16,8,5,0,3,16,9,53,2,4,16,2,5,2,4,16,3,65,5,4,16,4,5,2,4,16,5,5,2,4,16,6,5,2,4,16,7,5,2,4,16,8,53,3,4,16,9,53,2,5,16,2,5,2,5,16,3,5,2,5,16,4,5,2,5,16,5,5,2,5,16,6,5,2,5,16,7,5,2,5,16,8,53,3,5,16,9,53,2,6,16,2,5,2,6,16,3,5,2,6,16,4,5,2,6,16,5,5,2,6,16,6,5,2,6,16,7,5,2,6,16,8,53,3,6,16,9,53,2,7,16,2,5,2,7,16,3,5,2,7,16,4,5,2,7,16,5,5,2,7,16,6,5,2,7,16,7,5,2,7,16,8,53,3,7,16,9,5,0,8,16,2,5,2,8,16,3,5,2,8,16,4,5,2,8,16,5,5,2,8,16,6,5,2,8,16,7,5,2,8,16,8,5,0,8,16,9,44,10,9,16,2,5,0,9,16,3,53,1,9,16,4,53,1,9,16,5,53,1,9,16,6,53,1,9,16,7,5,0,9,16,8,44,10,9,16,9,5,0,2,17,2,53,4,2,17,4,53,4,2,17,7,5,0,2,17,9,35,12,3,17,3,53,6,4,17,2,35,12,4,17,3,96,1,4,17,4,53,7,4,17,9,53,6,7,17,2,53,7,7,17,9,35,12,8,17,8,5,0,9,17,2,53,5,9,17,4,53,5,9,17,7,5,0,9,17,9,17,3,2,18,2,44,2,2,18,3,44,2,2,18,4,44,2,2,18,7,44,2,2,18,8,17,3,2,18,9,44,2,3,18,2,35,12,3,18,3,44,2,3,18,9,44,2,4,18,2,44,2,4,18,9,44,2,7,18,2,44,2,7,18,9,44,2,8,18,2,50,5,8,18,8,44,2,8,18,9,17,3,9,18,2,44,2,9,18,3,44,2,9,18,4,44,2,9,18,7,44,2,9,18,8,17,3,9,18,9,44,13,1,19,1,44,13,1,19,10,5,0,2,19,2,5,0,2,19,9,5,0,9,19,2,5,0,9,19,9,44,13,10,19,1,44,13,10,19,10,109,0,1,20,2,109,0,1,20,3,44,13,1,20,4,44,13,1,20,7,109,0,1,20,8,109,0,1,20,9,109,2,2,20,1,5,0,2,20,2,53,7,2,20,3,44,10,2,20,4,44,10,2,20,7,53,6,2,20,8,5,0,2,20,9,109,3,2,20,10,109,2,3,20,1,53,5,3,20,2,53,5,3,20,9,109,3,3,20,10,44,13,4,20,1,44,10,4,20,2,44,10,4,20,9,44,13,4,20,10,44,13,7,20,1,44,10,7,20,2,44,10,7,20,9,44,13,7,20,10,109,2,8,20,1,53,4,8,20,2,53,4,8,20,9,109,3,8,20,10,109,2,9,20,1,5,0,9,20,2,53,7,9,20,3,44,10,9,20,4,44,10,9,20,7,53,6,9,20,8,5,0,9,20,9,109,3,9,20,10,109,1,10,20,2,109,1,10,20,3,44,13,10,20,4,44,13,10,20,7,109,1,10,20,8,109,1,10,20,9,109,2,1,21,4,109,3,1,21,7,44,5,2,21,2,109,0,2,21,3,98,0,2,21,4,53,7,2,21,5,53,6,2,21,6,98,0,2,21,7,109,0,2,21,8,44,5,2,21,9,109,2,3,21,2,109,3,3,21,9,109,0,4,21,1,98,0,4,21,2,98,0,4,21,9,109,0,4,21,10,53,5,5,21,2,53,5,5,21,9,53,4,6,21,2,53,4,6,21,9,109,1,7,21,1,98,0,7,21,2,98,0,7,21,9,109,1,7,21,10,109,2,8,21,2,109,3,8,21,9,44,5,9,21,2,109,1,9,21,3,98,0,9,21,4,53,7,9,21,5,53,6,9,21,6,98,0,9,21,7,109,1,9,21,8,44,5,9,21,9,109,2,10,21,4,109,3,10,21,7,109,2,1,22,5,109,3,1,22,6,109,0,2,22,4,98,0,2,22,5,98,0,2,22,6,109,0,2,22,7,98,0,3,22,3,98,0,3,22,8,109,2,4,22,2,109,3,4,22,9,109,0,5,22,1,98,0,5,22,2,98,0,5,22,9,109,0,5,22,10,109,1,6,22,1,98,0,6,22,2,98,0,6,22,9,109,1,6,22,10,109,2,7,22,2,109,3,7,22,9,98,0,8,22,3,98,0,8,22,8,109,1,9,22,4,98,0,9,22,5,98,0,9,22,6,109,1,9,22,7,109,2,10,22,5,109,3,10,22,6,109,0,2,23,5,109,0,2,23,6,109,0,3,23,4,98,0,3,23,5,98,0,3,23,6,109,0,3,23,7,109,2,4,23,3,109,3,4,23,8,109,2,5,23,2,98,0,5,23,3,98,0,5,23,8,109,3,5,23,9,109,2,6,23,2,98,0,6,23,3,98,0,6,23,8,109,3,6,23,9,109,2,7,23,3,109,3,7,23,8,109,1,8,23,4,98,0,8,23,5,98,0,8,23,6,109,1,8,23,7,109,1,9,23,5,109,1,9,23,6,109,0,3,24,5,109,0,3,24,6,98,0,4,24,4,98,0,4,24,7,109,2,5,24,3,109,3,5,24,8,109,2,6,24,3,109,3,6,24,8,98,0,7,24,4,98,0,7,24,7,109,1,8,24,5,109,1,8,24,6,109,0,4,25,5,109,0,4,25,6,109,2,5,25,4,44,13,5,25,5,44,13,5,25,6,109,3,5,25,7,109,2,6,25,4,44,13,6,25,5,44,13,6,25,6,109,3,6,25,7,109,1,7,25,5,109,1,7,25,6,109,2,5,26,5,109,3,5,26,6,109,2,6,26,5,109,3,6,26,6,109,2,5,27,5,109,3,5,27,6,109,2,6,27,5,109,3,6,27,6