Appendix 6. Data for estimating rat tracking rates (probability that at least one rat passes through a baited tracking tunnel in 24 h) in a pine plantation and native forest fragments.

list(

n.obs=5507, 	# no. individual tracking observations
n.grid=23,	# no. tracking grids
# 1 Dennis, 2 DizzyG, 3 FattyG, 4 Flag, 5 Herekawe, 6 Jacks, 7 LTutu, 8 Lucky, 9 Mangapehi, 10 Mruhe1, 11 Mruhe2, 12 Skinny, 13 T38, 14 T74, 15 T91, 16 Teds, 17 TeHapeIti, 18 TeHapeNui, 19 TeHapeToru, 20 Tutu, 21 Longden Rd, 22 Moloney Rd, 23 Stub Rd

n.tun=320, 	# no. individual tracking tunnel sites 
n.year=10, 	# no. years (2002/03-2011/12) 
n.time=36,	# no. sampling occasions 

# whether each site is native or pine
pine=c(0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1),	

# whether each fragment grazed by livestock (1=yes, 0=no)
gr=c(0,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,1,0,1,0,0,0,0),

# grid corresponding to each tracking observation
grid=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,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# individual tracking tunnel corresponding to each tracking observation
tun=c(1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,2,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,3,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,4,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,5,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,6,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,7,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,8,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,10,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,11,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,12,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,13,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,14,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,15,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,16,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,17,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,18,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,19,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,20,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,21,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,22,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,23,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,24,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,25,26,26,26,26,26,26,26,26,27,27,27,27,27,27,27,27,28,28,28,28,28,28,28,28,29,29,29,29,29,29,29,29,30,30,30,30,30,30,30,30,31,31,31,31,31,31,31,31,31,31,31,32,32,32,32,32,32,32,32,32,32,32,33,33,33,33,33,33,33,33,33,33,33,34,34,34,34,34,34,34,34,34,34,34,35,35,35,35,35,35,35,35,35,35,35,36,36,36,36,36,36,36,36,36,36,36,37,37,37,37,37,37,37,37,37,37,37,38,38,38,38,38,38,38,38,38,38,38,39,39,39,39,39,39,39,39,39,39,39,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,40,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,41,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,42,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,43,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,44,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,45,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,46,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,47,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,48,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,49,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,50,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,51,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,52,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,53,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,54,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,55,56,56,56,56,56,56,56,56,56,56,56,56,57,57,57,57,57,57,57,57,57,57,57,57,58,58,58,58,58,58,58,58,58,58,58,58,59,59,59,59,59,59,59,59,59,59,59,59,60,60,60,60,60,60,60,60,60,60,60,60,61,61,61,61,61,61,61,61,61,61,61,61,62,62,62,62,62,62,62,62,62,62,62,62,63,63,63,63,63,63,63,63,63,63,63,63,64,64,64,64,64,64,64,64,64,64,64,64,65,65,65,65,65,65,65,65,65,65,65,65,66,66,66,66,66,66,66,66,66,66,66,66,67,67,67,67,67,67,67,67,67,67,67,67,68,68,68,68,68,68,68,68,68,68,68,68,69,69,69,69,69,69,69,69,69,69,69,69,70,70,70,70,70,70,70,70,70,70,70,70,71,71,71,71,71,71,71,71,71,71,71,71,72,72,72,72,72,72,72,72,72,72,72,73,73,73,73,73,73,73,73,73,73,73,74,74,74,74,74,74,74,74,74,74,74,75,75,75,75,75,75,75,75,75,75,75,76,76,76,76,76,76,76,76,76,76,76,77,77,77,77,77,77,77,77,77,78,78,78,78,78,78,78,78,78,79,79,79,79,79,79,79,79,79,80,80,80,80,80,80,80,80,80,81,81,81,81,81,81,81,81,81,82,82,82,82,82,82,82,82,82,83,83,83,83,83,83,83,83,83,84,84,84,84,84,84,84,84,84,85,85,85,85,85,85,85,85,85,86,86,86,86,86,86,86,86,87,87,87,87,87,87,87,87,88,88,88,88,88,88,88,88,89,89,89,89,89,89,89,89,90,90,90,90,90,90,90,90,91,91,91,91,91,91,91,91,92,92,92,92,92,92,92,92,93,93,93,93,93,93,93,93,94,94,94,94,94,94,94,94,95,95,95,95,95,95,95,95,95,95,95,95,95,95,95,95,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,96,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,97,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,98,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,99,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,100,101,101,101,101,101,101,101,101,101,101,101,101,101,101,101,101,102,102,102,102,102,102,102,102,102,102,102,102,102,102,102,102,103,103,103,103,103,103,103,103,103,103,103,103,103,103,103,103,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,104,105,105,105,105,105,105,105,105,105,105,105,105,105,105,105,105,106,106,106,106,106,106,106,106,106,106,106,106,106,106,106,106,107,107,107,107,107,107,107,107,107,107,107,107,107,107,107,107,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,108,109,109,109,109,109,109,109,109,109,109,109,109,109,109,109,109,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,110,111,111,111,111,111,111,111,111,1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12,312,312,312,312,312,313,313,313,313,313,313,313,313,314,314,314,314,314,314,314,314,315,315,315,315,315,315,315,315,316,316,316,316,316,316,316,316,317,317,317,317,317,317,317,317,318,318,318,318,318,318,318,318,319,319,319,319,319,319,319,319,320,320,320,320,320,320,320,320),

# year corresponding to each tracking observation
year=c(1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,6,6,6,9,9,9,10,10,6,6,6,9,9,9,10,10,6,6,6,9,9,9,10,10,6,6,6,9,9,9,10,10,6,6,6,9,9,9,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,4,4,4,5,5,5,6,6,6,7,7,7,3,3,3,3,3,5,5,5,6,6,6,3,3,3,3,3,5,5,5,6,6,6,3,3,3,3,3,5,5,5,6,6,6,3,3,3,3,3,5,5,5,6,6,6,3,3,3,3,3,5,5,5,6,6,6,6,6,7,5,5,5,6,7,7,6,6,5,5,5,6,7,7,7,6,6,5,5,5,6,7,7,7,6,6,5,5,5,6,7,7,7,6,6,5,5,5,6,7,7,7,6,6,5,5,5,6,7,7,7,6,6,5,5,5,6,7,7,7,6,6,6,5,5,5,7,7,7,6,6,6,5,5,5,7,7,7,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,8,8,8,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,9,9,9,10,10,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,10,10,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,9,9,9,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,8,8,8,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,10,10,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,5,5,5,6,6,6,7,7,7,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,1,1,1,1,1,1,2,2,2,2,2,3,3,3,3,3,4,4,4,5,5,5,6,6,6,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3,2,2,2,3,3,3,3,3),

# sampling occasion corresponding to each tracking observation
time=c(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35,36,23,24,25,32,33,34,35,36,23,24,25,32,33,34,35,36,23,24,25,32,33,34,35,36,23,24,25,32,33,34,35,36,23,24,25,32,33,34,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,17,18,19,20,21,22,23,24,25,26,27,28,12,13,14,15,16,20,21,22,23,24,25,12,13,14,15,16,20,21,22,23,24,25,12,13,14,15,16,20,21,22,23,24,25,12,13,14,15,16,20,21,22,23,24,25,12,13,14,15,16,20,21,22,23,24,25,24,25,26,20,21,22,23,27,28,24,25,20,21,22,23,26,27,28,24,25,20,21,22,23,26,27,28,24,25,20,21,22,23,26,27,28,24,25,20,21,22,23,26,27,28,24,25,20,21,22,23,26,27,28,24,25,20,21,22,23,26,27,28,23,24,25,20,21,22,26,27,28,23,24,25,20,21,22,26,27,28,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,29,30,31,32,33,34,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,32,33,34,35,36,1,2,3,4,5,6,7,8,9,10,11,12,1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20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,35,36,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,20,21,22,23,24,25,26,27,28,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22,23,24,25,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16,9,10,11,12,13,14,15,16),

# rat tracking observations; whether each tunnel tracked by a rat (1) or not (0) on each sampling occasion
x=c(0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,0,1,NA,1,1,NA,1,1,1,0,0,0,1,0,1,0,1,0,1,1,0,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,0,1,1,1,0,1,1,1,1,0,0,1,1,0,0,1,1,1,1,1,1,0,1,1,0,0,1,1,0,1,1,0,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,0,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,NA,0,0,0,0,0,1,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,1,1,0,1,0,1,1,1,1,1,1,1,0,1,1,1,0,0,0,0,1,1,1,0,0,1,1,1,0,1,0,0,0,0,0,1,0,1,0,0,0,1,0,1,0,1,0,1,1,1,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,0,0,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,0,0,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,1,0,0,0,0,1,1,0,1,1,1,0,0,0,0,1,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,0,0,1,0,1,0,0,1,1,1,1,0,0,0,0,1,1,1,1,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,0,0,0,1,1,1,1,0,0,0,0,1,1,0,1,0,1,0,1,0,0,0,0,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,0,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,0,1,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,1,1,0,0,0,0,0,1,1,0,1,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,0,1,0,1,1,0,0,0,1,0,0,0,1,0,1,0,1,1,0,1,0,1,0,1,0,1,1,1,1,1,1,1,1,0,0,0,1,0,0,0,NA,0,1,0,1,0,0,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,NA,0,0,0,0,0,0,0,0,1,0,0,0,0,0,1,0,1,1,1,1,1,0,1,0,0,1,0,1,0,0,0,0,1,0,0,0,1,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,1,0,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,1,1,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,0,1,1,1,1,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,0,0,0,0,1,1,1,0,1,1,1,1,1,1,0,1,0,0,0,1,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,0,0,1,1,1,1,1,1,1,0,1,0,1,0,1,1,1,0,1,1,0,1,0,1,0,1,0,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,0,0,1,0,0,0,1,1,0,1,1,0,1,0,1,0,0,1,0,0,0,0,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,1,1,0,1,1,1,1,0,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,0,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,1,0,0,1,0,0,1,1,1,1,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,0,1,1,1,1,0,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,0,1,1,0,1,0,1,1,0,0,1,1,1,0,1,1,1,1,0,1,0,0,1,1,1,1,1,1,0,1,1,1,1,0,0,0,0,0,0,1,1,0,1,0,1,1,1,1,1,1,1,1,1,1,0,0,0,1,1,1,0,1,1,0,1,1,0,0,0,1,0,0,1,1,0,1,0,1,1,1,1,1,1,1,0,0,1,0,1,1,1,1,1,1,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,1,0,1,1,0,0,1,1,0,1,0,0,0,0,0,0,0,0,1,1,0,1,1,0,0,1,0,1,0,0,1,1,0,1,0,0,1,1,0,1,1,0,0,1,0,1,0,1,1,0,1,0,1,0,0,0,1,1,0,0,0,0,0,0,0,0,0,1,1,0,0,0,0,0,0,1,0,1,0,0,0,0,1,0,1,1,0,1,1,1,0,1,1,1,1,1,0,1,0,1,1,0,0,0,0,0,0,0,0,0,0,0,1,0,1,0,1,1,0,0,0,0,0,0,1,0,0,0,1,0,0,0,1,0,1,1,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,1,1,0,0,0,1,0,0,0,0,0,1,0,1,1,0,1,1,0,1,1,1,1,1,0,1,1,1,1,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,1,0,1,0,1,0,1,1,1,1,0,0,0,0,0,0,1,1,1,1,0,0,0,1,1,0,0,0,1,0,0,0,0,0,0,0,0,1,0,1,1,0,0,1,0,0,0,1,0,1,0,0,0,0,1,0,0,0,0,0,0,0,0,0,1,0,0,1,0,0,0,0,0,0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