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rpref_len = [14,14,15,15,6,6,9,9,6,6,17,17,5,5,9,9,12,12,1,3,3,2,2,2,3,3,2,4,2,3,1,4,3,4,2,4,2,4,2,3,4,2,2,3,3,3,4,3,3,5,3,2,4,2,2,4,4,2,3,2,3,3,4,3,2,3,4,3,2,4,4,2,3,2,3,2,2,3,3,4,2,3,1,3,4,3,4,2,3,4]; hpref = [|41,40,71,64,45,22,32,17,4,28,33,87,12,62,70,7,25,49,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |81,38,90,34,86,40,14,20,48,39,70,52,23,26,2,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |11,15,1,68,18,57,30,70,63,89,45,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |53,21,1,42,89,76,86,80,38,43,59,31,56,8,15,32,6,71,11,57,73,61,90,16,82,36,3,70,19,2,67,5,10,74,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |48,57,45,68,85,6,88,13,62,2,51,25,63,89,79,34,55,50,64,35,80,24,1,53,3,12,56,41,5,32,16,47,46,87,40,17,58,20,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |13,90,69,2,82,26,78,8,85,84,18,57,53,32,21,73,29,1,47,79,34,83,35,9,44,37,7,22,86,41,3,65,75,55,12,6,50,27,56,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |60,11,9,17,54,52,50,44,67,51,3,59,28,53,66,46,36,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |25,72,76,37,87,66,77,82,75,33,36,28,71,49,56,80,7,4,38,85,41,11,67,47,90,62,30,50,1,78,39,61,29,63,79,84,42,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |50,69,36,78,64,61,13,72,47,4,54,24,33,30,77,63,75,84,14,21,51,66,68,11,71,65,59,3,12,28,88,20,17,73,27,8,46,44,15,80,87,9,16,26,18,34,81,43,85,67,38,23,74,49,48,58,10,60|]; hpref_len = [18,15,11,34,38,39,17,37,58]; hrank = [|0,0,0,9,0,0,16,0,0,0,0,13,0,0,0,0,8,0,0,0,0,6,0,0,17,0,0,10,0,0,0,7,11,0,0,0,0,0,0,2,1,0,0,0,5,0,0,0,18,0,0,0,0,0,0,0,0,0,0,0,0,14,0,4,0,0,0,0,0,15,3,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,12,0,0,0 |0,15,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,8,0,0,13,0,0,14,0,0,0,0,0,0,0,4,0,0,0,2,10,6,0,0,0,0,0,0,0,9,0,0,0,12,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,5,0,0,0,3 |3,0,0,0,0,0,0,0,0,0,1,0,0,0,2,0,0,5,0,0,0,0,0,0,0,0,0,0,0,7,0,0,0,0,0,0,0,0,0,0,0,0,0,0,11,0,0,0,0,0,0,0,0,0,0,0,6,0,0,0,0,0,9,0,0,0,0,4,0,8,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,10,0 |3,30,27,0,32,17,0,14,0,33,19,0,0,0,15,24,0,0,29,0,2,0,0,0,0,0,0,0,0,0,12,16,0,0,0,26,0,9,0,0,0,4,10,0,0,0,0,0,0,0,0,0,1,0,0,13,20,0,11,0,22,0,0,0,0,0,31,0,0,28,18,0,21,34,0,6,0,0,0,8,0,25,0,0,0,7,0,0,5,23 |23,10,25,0,29,6,0,0,0,0,0,26,8,0,0,31,36,0,0,38,0,0,0,22,12,0,0,0,0,0,0,30,0,16,20,0,0,0,0,35,28,0,0,0,3,33,32,1,0,18,11,0,24,0,17,27,2,37,0,0,0,9,13,19,0,0,0,4,0,0,0,0,0,0,0,0,0,0,15,21,0,0,0,0,5,0,34,7,14,0 |18,4,31,0,0,36,27,8,24,0,0,35,1,0,0,0,0,11,0,0,15,28,0,0,0,6,38,0,17,0,0,14,0,21,23,0,26,0,0,0,30,0,0,25,0,0,19,0,0,37,0,0,13,0,34,39,12,0,0,0,0,0,0,0,32,0,0,0,3,0,0,0,16,0,33,0,0,7,20,0,0,5,22,10,9,29,0,0,0,2 |0,0,11,0,0,0,0,0,3,0,2,0,0,0,0,0,4,0,0,0,0,0,0,0,0,0,0,13,0,0,0,0,0,0,0,17,0,0,0,0,0,0,0,8,0,16,0,0,0,7,10,6,14,5,0,0,0,0,12,1,0,0,0,0,0,15,9,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0 |29,0,0,18,0,0,17,0,0,0,22,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,12,33,27,0,0,10,0,0,11,4,19,31,0,21,37,0,0,0,0,24,0,14,28,0,0,0,0,0,15,0,0,0,0,32,26,34,0,0,6,23,0,0,0,13,2,0,0,9,3,7,30,35,16,0,8,0,36,20,0,5,0,0,25 |0,0,28,10,0,0,0,36,42,57,24,29,7,19,39,43,33,45,0,32,20,0,52,12,0,44,35,30,0,14,0,0,13,46,0,3,0,51,0,0,0,0,48,38,0,37,9,55,54,1,21,0,0,11,0,0,0,56,27,58,6,0,16,5,26,22,50,23,2,0,25,8,34,53,17,0,15,4,0,40,47,0,0,18,49,0,41,31,0,0|]; hosp_cap = [14,12,2,10,11,12,6,11,12];