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 0.001949 0.001097 -0.003647, 0.001949 0.001097 -0.002127, 0.001949 0.001097 -0.000422, 0.001949 0.001097 0.000428, 0.001949 0.001097 0.002134,
 0.001949 0.001097 0.003653, 0.001949 0.002784 -0.003647, 0.001949 0.002784 0.003653, 0.001950 0.001123 -0.001265, 0.001950 0.001123 0.001272,
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 0.001961 0.002818 -0.002957, 0.001962 0.001062 -0.001200, 0.001962 0.001062 0.001207, 0.001962 0.001063 -0.003597, 0.001962 0.001063 -0.002177,
 0.001962 0.001140 -0.003674, 0.001962 0.002740 -0.003674, 0.001962 0.002818 -0.003597, 0.001962 0.001079 -0.003647, 0.001962 0.001079 -0.002127,
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 0.001970 0.002484 -0.002096, 0.001970 0.002484 0.002103, 0.001971 0.001115 -0.001281, 0.001971 0.001115 0.001288, 0.001974 0.001054 -0.003597,
 0.001974 0.001054 -0.002177, 0.001974 0.001054 -0.000472, 0.001974 0.001054 0.000478, 0.001974 0.001054 0.002184, 0.001974 0.001054 0.003603,
 0.001974 0.001090 -0.003667, 0.001974 0.001090 -0.002106, 0.001974 0.001090 -0.000401, 0.001974 0.001090 0.000408, 0.001974 0.001090 0.002113,
 0.001974 0.001090 0.003674, 0.001974 0.001140 -0.003683, 0.001974 0.001140 -0.000385, 0.001974 0.001140 0.000392, 0.001974 0.001140 0.003690,
 0.001974 0.002474 -0.000385, 0.001974 0.002474 0.000392, 0.001974 0.002740 -0.003683, 0.001974 0.002740 0.003690, 0.001974 0.002790 -0.003667,
 0.001974 0.002790 0.003674, 0.001974 0.002827 -0.003597, 0.001974 0.002827 0.002963, 0.001974 0.002827 0.003603, 0.001974 0.001140 -0.002091,
 0.001974 0.001140 0.002098, 0.001974 0.001054 -0.001200, 0.001974 0.001054 0.001207, 0.001975 0.001057 -0.003623, 0.001975 0.001057 -0.002151,
 0.001975 0.001057 -0.000446, 0.001975 0.001057 0.000452, 0.001975 0.001057 0.002158, 0.001975 0.001057 0.003629, 0.001975 0.001127 -0.003683,
 0.001975 0.001127 -0.002091, 0.001975 0.001127 -0.000385, 0.001975 0.001127 0.000392, 0.001975 0.001127 0.002097, 0.001975 0.001127 0.003690,
 0.001975 0.002753 -0.003683, 0.001975 0.002753 0.003690, 0.001975 0.002824 -0.003623, 0.001975 0.002824 0.003629, 0.001977 0.001081 -0.001265,
 0.001977 0.001081 0.001272, 0.001978 0.001104 -0.001281, 0.001978 0.001104 0.001288, 0.001980 0.002830 -0.002957, 0.001980 0.001065 -0.003647,
 0.001980 0.001065 -0.002127, 0.001980 0.001065 -0.000422, 0.001980 0.001065 0.000428, 0.001980 0.001065 0.002134, 0.001980 0.001065 0.003653,
 0.001980 0.001115 -0.003683, 0.001980 0.001115 -0.002091, 0.001980 0.001115 -0.000385, 0.001980 0.001115 0.000392, 0.001980 0.001115 0.002097,
 0.001980 0.001115 0.003690, 0.001980 0.002765 -0.003683, 0.001980 0.002765 0.003690, 0.001980 0.002815 -0.003647, 0.001980 0.002815 0.003653,
 0.001980 0.001051 -0.003597, 0.001980 0.001051 -0.002177, 0.001980 0.001140 -0.003686, 0.001980 0.002740 -0.003686, 0.001980 0.002830 -0.003597,
 0.001981 0.001050 -0.001200, 0.001981 0.001050 0.001207, 0.001982 0.001052 -0.001224, 0.001982 0.001052 0.001230, 0.001985 0.001140 -0.001292,
 0.001985 0.001140 0.001299, 0.001985 0.002446 -0.001292, 0.001985 0.002446 0.001299, 0.001985 0.001131 0.001298, 0.001985 0.001131 -0.001291,
 0.001985 0.001060 -0.001246, 0.001985 0.001060 0.001252, 0.001986 0.001118 0.001297, 0.001986 0.001121 -0.001290, 0.001986 0.001114 -0.001289,
 0.001987 0.001110 -0.001288, 0.001987 0.001110 0.001294, 0.001987 0.001094 -0.001281, 0.001987 0.001094 0.001288, 0.001988 0.001079 -0.003667,
 0.001988 0.001079 -0.002106, 0.001988 0.001079 -0.000401, 0.001988 0.001079 0.000408, 0.001988 0.001079 0.002113, 0.001988 0.001079 0.003674,
 0.001988 0.001105 -0.003683, 0.001988 0.001105 -0.002091, 0.001988 0.001105 -0.000385, 0.001988 0.001105 0.000392, 0.001988 0.001105 0.002097,
 0.001988 0.001105 0.003690, 0.001988 0.002776 -0.003683, 0.001988 0.002776 0.003690, 0.001988 0.002801 -0.003667, 0.001988 0.002801 0.003674,
 0.001989 0.001097 0.001290, 0.001989 0.001096 0.001289, 0.001989 0.001096 -0.001282, 0.001990 0.001093 -0.001281, 0.001990 0.001093 0.001288,
 0.001990 0.001090 -0.001280, 0.001990 0.001140 -0.002083, 0.001990 0.001140 0.002089, 0.001990 0.002433 -0.002083, 0.001990 0.002433 0.002089,
 0.001991 0.001072 -0.001265, 0.001991 0.001072 0.001272, 0.001993 0.001078 0.001279, 0.001994 0.001077 0.001278, 0.001994 0.001077 -0.001270,
 0.001996 0.001070 -0.001265, 0.001996 0.001069 -0.001265, 0.001996 0.001070 0.001272, 0.001998 0.001044 -0.003597, 0.001998 0.001044 -0.002177,
 0.001998 0.001044 -0.000472, 0.001998 0.001044 0.000478, 0.001998 0.001044 0.002184, 0.001998 0.001044 0.003603, 0.001998 0.001140 -0.003693,
 0.001998 0.001140 -0.000375, 0.001998 0.001140 0.000382, 0.001998 0.001140 0.003700, 0.001998 0.002414 -0.000375, 0.001998 0.002414 0.000382,
 0.001998 0.002740 -0.003693, 0.001998 0.002740 0.003700, 0.001998 0.002837 -0.003597, 0.001998 0.002837 0.002963, 0.001998 0.002837 0.003603,
 0.001998 0.001044 -0.001200, 0.001998 0.001044 0.001207, 0.001998 0.001140 -0.002081, 0.001998 0.001140 0.002088, 0.001999 0.001047 -0.003623,
 0.001999 0.001047 -0.002151, 0.001999 0.001047 -0.000446, 0.001999 0.001047 0.000452, 0.001999 0.001047 0.002158, 0.001999 0.001047 0.003629,
 0.001999 0.001097 -0.003683, 0.001999 0.001097 -0.002091, 0.001999 0.001097 -0.000385, 0.001999 0.001097 0.000392, 0.001999 0.001097 0.002097,
 0.001999 0.001097 0.003690, 0.001999 0.001134 -0.003693, 0.001999 0.001134 -0.002081, 0.001999 0.001134 -0.000375, 0.001999 0.001134 0.000382,
 0.001999 0.001134 0.002087, 0.001999 0.001134 0.003700, 0.001999 0.002747 -0.003693, 0.001999 0.002747 0.003700, 0.001999 0.002784 -0.003683,
 0.001999 0.002784 0.003690, 0.001999 0.002834 -0.003623, 0.001999 0.002834 0.003629, 0.001999 0.001062 0.001264, 0.002001 0.001057 -0.003647,
 0.002001 0.001057 -0.002127, 0.002001 0.001057 -0.000422, 0.002001 0.001057 0.000428, 0.002001 0.001057 0.002134, 0.002001 0.001057 0.003653,
 0.002001 0.001127 -0.003693, 0.002001 0.001127 -0.002081, 0.002001 0.001127 -0.000375, 0.002001 0.001127 0.000382, 0.002001 0.001127 0.002087,
 0.002001 0.001127 0.003700, 0.002001 0.002753 -0.003693, 0.002001 0.002753 0.003700, 0.002001 0.002824 -0.003647, 0.002001 0.002824 0.003653,
 0.002001 0.002838 -0.002957, 0.002001 0.001043 -0.003597, 0.002001 0.001043 -0.002177, 0.002001 0.001140 -0.003694, 0.002001 0.002740 -0.003694,
 0.002001 0.002837 -0.003597, 0.002002 0.001043 -0.001200, 0.002002 0.001043 0.001207, 0.002003 0.001045 -0.001224, 0.002003 0.001045 0.001230,
 0.002004 0.001054 -0.001246, 0.002005 0.001053 -0.001246, 0.002005 0.001054 0.001252, 0.002005 0.001053 0.001252, 0.002005 0.001072 -0.003667,
 0.002005 0.001072 -0.002106, 0.002005 0.001072 -0.000401, 0.002005 0.001072 0.000408, 0.002005 0.001072 0.002113, 0.002005 0.001072 0.003674,
 0.002005 0.001122 -0.003693, 0.002005 0.001122 -0.002081, 0.002005 0.001122 -0.000375, 0.002005 0.001122 0.000382, 0.002005 0.001122 0.002087,
 0.002005 0.001122 0.003700, 0.002005 0.002759 -0.003693, 0.002005 0.002759 0.003700, 0.002005 0.002809 -0.003667, 0.002005 0.002809 0.003674,
 0.002007 0.001050 0.001247, 0.002011 0.001092 -0.003683, 0.002011 0.001092 -0.002091, 0.002011 0.001092 -0.000385, 0.002011 0.001092 0.000392,
 0.002011 0.001092 0.002097, 0.002011 0.001092 0.003690, 0.002011 0.001118 -0.003693, 0.002011 0.001118 -0.002081, 0.002011 0.001118 -0.000375,
 0.002011 0.001118 0.000382, 0.002011 0.001118 0.002087, 0.002011 0.001118 0.003700, 0.002011 0.002763 -0.003693, 0.002011 0.002763 0.003700,
 0.002011 0.002789 -0.003683, 0.002011 0.002789 0.003690, 0.002014 0.001044 -0.001224, 0.002014 0.001044 -0.001224, 0.002014 0.001044 0.001230,
 0.002014 0.001140 -0.002078, 0.002014 0.001140 0.002084, 0.002014 0.002372 -0.002081, 0.002014 0.002372 0.002087, 0.002015 0.001043 0.001227,
 0.002017 0.001115 -0.003693, 0.002017 0.001115 -0.002081, 0.002017 0.001115 -0.000375, 0.002017 0.001115 0.000382, 0.002017 0.001115 0.002087,
 0.002017 0.001115 0.003700, 0.002017 0.002765 -0.003693, 0.002017 0.002765 0.003700, 0.002024 0.001040 -0.003597, 0.002024 0.001040 -0.002177,
 0.002024 0.001040 -0.001200, 0.002024 0.001040 -0.000472, 0.002024 0.001040 0.000478, 0.002024 0.001040 0.001207, 0.002024 0.001040 0.002184,
 0.002024 0.001040 0.003603, 0.002024 0.001044 -0.003623, 0.002024 0.001044 -0.002151, 0.002024 0.001044 -0.000446, 0.002024 0.001044 0.000452,
 0.002024 0.001044 0.002158, 0.002024 0.001044 0.003629, 0.002024 0.001054 -0.003647, 0.002024 0.001054 -0.002127, 0.002024 0.001054 -0.000422,
 0.002024 0.001054 0.000428, 0.002024 0.001054 0.002134, 0.002024 0.001054 0.003653, 0.002024 0.001070 -0.003667, 0.002024 0.001070 -0.002106,
 0.002024 0.001070 -0.000401, 0.002024 0.001070 0.000408, 0.002024 0.001070 0.002113, 0.002024 0.001070 0.003674, 0.002024 0.001090 -0.003683,
 0.002024 0.001090 -0.002091, 0.002024 0.001090 -0.000385, 0.002024 0.001090 0.000392, 0.002024 0.001090 0.002097, 0.002024 0.001090 0.003690,
 0.002024 0.001114 -0.003693, 0.002024 0.001114 -0.002081, 0.002024 0.001114 -0.000375, 0.002024 0.001114 0.000382, 0.002024 0.001114 0.002087,
 0.002024 0.001114 0.003700, 0.002024 0.001140 -0.003697, 0.002024 0.001140 -0.002077, 0.002024 0.001140 -0.000372, 0.002024 0.001140 0.000378,
 0.002024 0.001140 0.002084, 0.002024 0.001140 0.003703, 0.002024 0.002349 -0.000372, 0.002024 0.002349 0.000378, 0.002024 0.002740 -0.003697,
 0.002024 0.002740 0.003703, 0.002024 0.002762 -0.003694, 0.002024 0.002766 -0.003693, 0.002024 0.002766 0.003700, 0.002024 0.002783 -0.003686,
 0.002024 0.002790 -0.003683, 0.002024 0.002790 0.003690, 0.002024 0.002802 -0.003674, 0.002024 0.002811 -0.003667, 0.002024 0.002811 0.003674,
 0.002024 0.002818 -0.003659, 0.002024 0.002827 -0.003647, 0.002024 0.002827 0.003653, 0.002024 0.002830 -0.003640, 0.002024 0.002837 -0.003623,
 0.002024 0.002837 0.003629, 0.002024 0.002837 -0.003619, 0.002024 0.002840 -0.003597, 0.002024 0.002840 -0.002957, 0.002024 0.002840 0.002963,
 0.002024 0.002840 0.003603, 0.002030 0.001115 -0.002081, 0.002030 0.001115 0.002087, 0.002034 0.001044 -0.002153, 0.002034 0.001044 0.002160,
 0.002034 0.001045 -0.002151, 0.002034 0.001045 0.002158, 0.002037 0.001092 -0.002091, 0.002037 0.001092 0.002097, 0.002037 0.001118 -0.002081,
 0.002037 0.001118 0.002087, 0.002039 0.001140 -0.002078, 0.002039 0.001140 0.002085, 0.002039 0.002311 -0.002078, 0.002039 0.002311 0.002085,
 0.002042 0.001072 -0.002106, 0.002042 0.001072 0.002113, 0.002042 0.001122 -0.002081, 0.002042 0.001122 0.002087, 0.002043 0.001054 -0.002131,
 0.002043 0.001054 0.002138, 0.002044 0.001057 -0.002127, 0.002044 0.001057 0.002134, 0.002045 0.001058 -0.002126, 0.002045 0.001058 0.002132,
 0.002046 0.001127 -0.002081, 0.002046 0.001127 0.002087, 0.002049 0.001097 -0.002091, 0.002049 0.001097 0.002097, 0.002049 0.001134 -0.002081,
 0.002049 0.001134 0.002087, 0.002049 0.001140 -0.002081, 0.002049 0.001140 0.002088, 0.002051 0.001070 -0.002112, 0.002051 0.001070 0.002118,
 0.002053 0.001077 -0.002107, 0.002053 0.001077 0.002113, 0.002055 0.001084 -0.002102, 0.002055 0.001084 0.002108, 0.002057 0.001090 -0.002097,
 0.002057 0.001090 0.002104, 0.002058 0.001105 -0.002091, 0.002058 0.001105 0.002097, 0.002059 0.001103 -0.002092, 0.002059 0.001103 0.002099,
 0.002060 0.001108 -0.002091, 0.002060 0.001108 0.002097, 0.002061 0.001114 -0.002088, 0.002061 0.001114 0.002095, 0.002061 0.001118 -0.002088,
 0.002061 0.001118 0.002094, 0.002062 0.001130 -0.002086, 0.002062 0.001130 0.002093, 0.002062 0.001140 -0.002085, 0.002062 0.001140 0.002091,
 0.002062 0.002251 -0.002085, 0.002062 0.002251 0.002091, 0.002224 0.002840 -0.002957, 0.002224 0.002840 0.002963, 0.002224 0.002920 0.000003,
 0.002224 0.002921 -0.000052, 0.002224 0.002922 0.000076, 0.002224 0.002924 -0.000079, 0.002224 0.002932 -0.000181, 0.002224 0.002935 0.000203,
 0.002224 0.002936 -0.000203, 0.002224 0.002938 0.000224, 0.002224 0.002953 0.000304, 0.002224 0.002960 -0.000329, 0.002224 0.002975 -0.000379,
 0.002224 0.002987 0.000431, 0.002224 0.002996 -0.000453, 0.002224 0.003019 0.000519, 0.002224 0.003032 0.000554, 0.002224 0.003044 -0.000573,
 0.002224 0.003089 0.000674, 0.002224 0.003089 -0.000665, 0.002224 0.003102 -0.000691, 0.002224 0.003137 -0.000751, 0.002224 0.003142 0.000765,
 0.002224 0.003162 0.000794, 0.002224 0.003212 -0.000862, 0.002224 0.003220 0.000879, 0.002224 0.003264 -0.000926, 0.002224 0.003297 -0.000967,
 0.002224 0.003308 0.000986, 0.002224 0.003361 0.001040, 0.002224 0.003392 -0.001066, 0.002224 0.003406 0.001086, 0.002224 0.003469 0.001142,
 0.002224 0.003491 -0.001153, 0.002224 0.003496 -0.001158, 0.002224 0.003559 -0.001207, 0.002224 0.003585 0.001232, 0.002224 0.003610 0.001249,
 0.002224 0.003678 -0.001288, 0.002224 0.003708 0.001312, 0.002224 0.003764 -0.001336, 0.002224 0.003805 -0.001359, 0.002224 0.003839 0.001383,
 0.002224 0.003900 0.001410, 0.002224 0.003933 0.001426, 0.002224 0.003938 -0.001421, 0.002224 0.004070 -0.001471, 0.002224 0.004077 0.001480,
 0.002224 0.004078 -0.001473, 0.002224 0.004219 0.001520, 0.002224 0.004225 0.001522, 0.002224 0.004236 -0.001518, 0.002224 0.004376 0.001553,
 0.002224 0.004386 -0.001548, 0.002224 0.004401 -0.001549, 0.002224 0.004520 0.001571, 0.002224 0.004540 -0.001566, 0.002224 0.004556 0.001572,
 0.002224 0.004676 0.001578, 0.002224 0.004695 -0.001572, 0.002224 0.004742 -0.001571, 0.002224 0.004773 -0.001570, 0.002224 0.004820 -0.002957,
 0.002224 0.004820 0.002963, 0.002224 0.004831 0.001574, 0.002224 0.004897 0.001567, 0.002224 0.004928 -0.001558, 0.002224 0.004985 0.001557,
 0.002224 0.005081 -0.001534, 0.002224 0.005082 -0.001534, 0.002224 0.005132 -0.002940, 0.002224 0.005132 0.002947, 0.002224 0.005137 0.001529,
 0.002224 0.005172 0.001520, 0.002224 0.005208 -0.001505, 0.002224 0.005232 0.001503, 0.002224 0.005241 -0.002923, 0.002224 0.005241 0.002929,
 0.002224 0.005317 0.001478, 0.002224 0.005354 -0.001459, 0.002224 0.005406 -0.001438, 0.002224 0.005440 -0.002891, 0.002224 0.005440 0.002898,
 0.002224 0.005457 0.001426, 0.002224 0.005495 -0.001403, 0.002224 0.005546 0.001384, 0.002224 0.005590 0.001363, 0.002224 0.005631 -0.001335,
 0.002224 0.005654 -0.002834, 0.002224 0.005654 0.002840, 0.002224 0.005705 -0.001292, 0.002224 0.005712 -0.001288, 0.002224 0.005718 0.001291,
 0.002224 0.005741 -0.002810, 0.002224 0.005741 0.002817, 0.002224 0.005781 0.001249, 0.002224 0.005829 0.001213, 0.002224 0.005832 -0.001206,
 0.002224 0.005894 0.001165, 0.002224 0.005945 -0.001116, 0.002224 0.005966 -0.001095, 0.002224 0.005998 0.001073, 0.002224 0.006033 -0.002698,
 0.002224 0.006033 0.002705, 0.002224 0.006048 -0.001016, 0.002224 0.006051 -0.002689, 0.002224 0.006051 0.002695, 0.002224 0.006070 0.000998,
 0.002224 0.006093 0.000973, 0.002224 0.006101 -0.000959, 0.002224 0.006179 0.000867, 0.002224 0.006180 -0.000859, 0.002224 0.006186 -0.000852,
 0.002224 0.006222 0.000806, 0.002224 0.006259 0.000745, 0.002224 0.006261 -0.000738, 0.002224 0.006291 0.000692, 0.002224 0.006310 -0.002556,
 0.002224 0.006310 0.002562, 0.002224 0.006326 -0.000619, 0.002224 0.006339 -0.000590, 0.002224 0.006349 0.000575, 0.002224 0.006360 -0.000543,
 0.002224 0.006391 0.000466, 0.002224 0.006396 0.000454, 0.002224 0.006405 -0.000420, 0.002224 0.006421 -0.002484, 0.002224 0.006421 0.002490,
 0.002224 0.006432 0.000330, 0.002224 0.006437 -0.000299, 0.002224 0.006437 0.000304, 0.002224 0.006438 -0.000295, 0.002224 0.006459 0.000177,
 0.002224 0.006460 -0.000167, 0.002224 0.006460 0.000168, 0.002224 0.006468 -0.000078, 0.002224 0.006469 0.000003, 0.002224 0.006469 0.000050,
 0.002224 0.006572 -0.002385, 0.002224 0.006572 0.002392, 0.002224 0.006760 -0.002232, 0.002224 0.006760 0.002239, 0.002224 0.006814 -0.002188,
 0.002224 0.006814 0.002195, 0.002224 0.007034 -0.001967, 0.002224 0.007034 0.001973, 0.002224 0.007060 -0.001935, 0.002224 0.007060 0.001941,
 0.002224 0.007229 -0.001724, 0.002224 0.007229 0.001730, 0.002224 0.007312 -0.001596, 0.002224 0.007312 0.001602, 0.002224 0.007398 -0.001461,
 0.002224 0.007398 0.001468, 0.002224 0.007517 -0.001226, 0.002224 0.007517 0.001233, 0.002224 0.007539 -0.001183, 0.002224 0.007539 0.001189,
 0.002224 0.007649 -0.000891, 0.002224 0.007649 0.000897, 0.002224 0.007665 -0.000831, 0.002224 0.007665 0.000837, 0.002224 0.007729 -0.000589,
 0.002224 0.007729 0.000596, 0.002224 0.007755 -0.000418, 0.002224 0.007755 0.000424, 0.002224 0.007776 -0.000281, 0.002224 0.007776 0.000287,
 0.002224 0.007790 0.000003, 0.002246 0.007788 0.000003, 0.002246 0.004820 0.002961, 0.002246 0.005132 0.002944, 0.002246 0.005440 0.002895,
 0.002246 0.005741 0.002814, 0.002246 0.006032 0.002702, 0.002246 0.006309 0.002560, 0.002246 0.006570 0.002390, 0.002246 0.006812 0.002193,
 0.002246 0.007032 0.001972, 0.002246 0.007227 0.001729, 0.002246 0.007396 0.001467, 0.002246 0.007537 0.001188, 0.002246 0.007647 0.000897,
 0.002246 0.007726 0.000595, 0.002246 0.007773 0.000287, 0.002246 0.007788 0.000003, 0.002249 0.004820 0.002960, 0.002249 0.007787 0.000003,
 0.002249 0.002840 -0.002953, 0.002249 0.002840 0.002960, 0.002249 0.002918 -0.000052, 0.002249 0.002919 0.000076, 0.002249 0.002929 -0.000181,
 0.002249 0.002931 0.000204, 0.002249 0.002932 -0.000204, 0.002249 0.002950 0.000305, 0.002249 0.002957 -0.000330, 0.002249 0.002984 0.000432,
 0.002249 0.002993 -0.000454, 0.002249 0.003029 0.000556, 0.002249 0.003040 -0.000575, 0.002249 0.003086 0.000675, 0.002249 0.003099 -0.000693,
 0.002249 0.003134 -0.000752, 0.002249 0.003139 0.000767, 0.002249 0.003209 -0.000864, 0.002249 0.003217 0.000881, 0.002249 0.003295 -0.000969,
 0.002249 0.003305 0.000988, 0.002249 0.003390 -0.001068, 0.002249 0.003403 0.001088, 0.002249 0.003467 0.001145, 0.002249 0.003494 -0.001161,
 0.002249 0.003557 -0.001209, 0.002249 0.003583 0.001235, 0.002249 0.003677 -0.001291, 0.002249 0.003706 0.001315, 0.002249 0.003803 -0.001362,
 0.002249 0.003837 0.001386, 0.002249 0.003932 0.001429, 0.002249 0.003937 -0.001424, 0.002249 0.004076 0.001483, 0.002249 0.004077 -0.001477,
 0.002249 0.004224 0.001525, 0.002249 0.004235 -0.001521, 0.002249 0.004376 0.001556, 0.002249 0.004386 -0.001551, 0.002249 0.004519 0.001574,
 0.002249 0.004539 -0.001569, 0.002249 0.004676 0.001582, 0.002249 0.004695 -0.001575, 0.002249 0.004773 -0.001574, 0.002249 0.004820 -0.002953,
 0.002249 0.004831 0.001577, 0.002249 0.004929 -0.001561, 0.002249 0.004985 0.001561, 0.002249 0.005083 -0.001537, 0.002249 0.005132 -0.002937,
 0.002249 0.005137 0.001532, 0.002249 0.005173 0.001524, 0.002249 0.005209 -0.001508, 0.002249 0.005318 0.001482, 0.002249 0.005355 -0.001462,
 0.002249 0.005439 -0.002888, 0.002249 0.005458 0.001429, 0.002249 0.005496 -0.001406, 0.002249 0.005592 0.001366, 0.002249 0.005632 -0.001338,
 0.002249 0.005714 -0.001291, 0.002249 0.005720 0.001294, 0.002249 0.005740 -0.002807, 0.002249 0.005783 0.001252, 0.002249 0.005834 -0.001209,
 0.002249 0.005896 0.001167, 0.002249 0.005947 -0.001118, 0.002249 0.006001 0.001075, 0.002249 0.006031 -0.002695, 0.002249 0.006051 -0.001019,
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 3638, 3610, 3707, -1, 3707, 3610, 3683, -1, 3707, 3683, 3793, -1,
 3793, 3683, 3772, -1, 3793, 3772, 3913, -1, 3913, 3772, 3894, -1,
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 3772, 3748, 3894, -1, 3894, 3748, 3866, -1, 3894, 3866, 4024, -1,
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 3529, 3532, 3559, -1, 3412, 3490, 3355, -1, 3355, 3490, 3496, -1,
 3355, 3496, 3502, -1, 3971, 4025, 3895, -1, 4076, 4068, 4025, -1,
 4054, 3989, 3995, -1, 4001, 4070, 3995, -1, 3995, 4070, 4056, -1,
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 3550, 3541, 3575, -1, 3550, 3575, 3611, -1, 3611, 3575, 3646, -1,
 3611, 3646, 3684, -1, 3684, 3646, 3667, -1, 3684, 3667, 3773, -1,
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 4058, 4007, 4013, -1, 4058, 4013, 4052, -1, 4052, 4013, 4019, -1,
 4052, 4019, 4025, -1, 4096, 4094, 4092, -1, 4092, 4094, 4078, -1,
 4092, 4078, 4068, -1, 4068, 4078, 4060, -1, 4068, 4060, 4025, -1,
 3862, 3738, 3883, -1, 3883, 3738, 3767, -1, 3883, 3767, 3908, -1,
 3908, 3767, 3788, -1, 3908, 3788, 3938, -1, 3938, 3788, 3828, -1,
 3938, 3828, 3955, -1, 3955, 3828, 3889, -1, 3955, 3889, 3979, -1,
 3979, 3889, 3961, -1, 3979, 3961, 4025, -1, 3738, 3653, 3767, -1,
 3767, 3653, 3678, -1, 3767, 3678, 3788, -1, 3788, 3678, 3702, -1,
 3788, 3702, 3828, -1, 3828, 3702, 3744, -1, 3828, 3744, 3889, -1,
 3889, 3744, 3834, -1, 3889, 3834, 3961, -1, 3961, 3834, 3944, -1,
 3961, 3944, 4025, -1, 3989, 3862, 3995, -1, 3995, 3862, 3883, -1,
 3995, 3883, 4001, -1, 4001, 3883, 3908, -1, 4001, 3908, 4007, -1,
 4007, 3908, 3938, -1, 4007, 3938, 4013, -1, 4013, 3938, 3955, -1,
 4013, 3955, 4019, -1, 4019, 3955, 3979, -1, 4019, 3979, 4025, -1,
 3586, 3525, 3605, -1, 3605, 3525, 3550, -1, 3605, 3550, 3639, -1,
 3639, 3550, 3611, -1, 3639, 3611, 3708, -1, 3708, 3611, 3684, -1,
 3708, 3684, 3794, -1, 3794, 3684, 3773, -1, 3794, 3773, 3914, -1,
 3914, 3773, 3895, -1, 3914, 3895, 4025, -1, 4104, 4102, 4082, -1,
 4082, 4102, 4080, -1, 4082, 4080, 4062, -1, 4062, 4080, 4025, -1,
 4096, 4092, 4098, -1, 4098, 4092, 4068, -1, 4098, 4068, 4100, -1,
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 3727, 3760, 3773, -1, 3773, 3760, 3847, -1, 3773, 3847, 3895, -1,
 3895, 3847, 3878, -1, 3895, 3878, 3971, -1, 3653, 3586, 3678, -1,
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 3834, 3708, 3794, -1, 3834, 3794, 3944, -1, 3944, 3794, 3914, -1,
 3944, 3914, 4025, -1, 5076, 5085, 4054, -1, 4054, 5085, 3989, -1,
 3989, 5085, 5088, -1, 3989, 5088, 5106, -1, 5076, 4054, 5073, -1,
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 5073, 4072, 4074, -1, 5073, 4074, 5043, -1, 5043, 4074, 5036, -1,
 5036, 4074, 4084, -1, 5036, 4084, 5031, -1, 4084, 4086, 5031, -1,
 5031, 4086, 4088, -1, 5031, 4088, 5024, -1, 5024, 4088, 4090, -1,
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 5019, 4096, 5013, -1, 4096, 4098, 5013, -1, 5013, 4098, 4100, -1,
 5013, 4100, 5006, -1, 5006, 4100, 4102, -1, 5006, 4102, 4104, -1,
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 5106, 5089, 5100, -1, 5106, 5100, 5105, -1, 5088, 5085, 5077, -1,
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 5039, 5036, 5032, -1, 5032, 5036, 5029, -1, 5024, 5019, 5018, -1,
 5036, 5031, 5029, -1, 5029, 5031, 5024, -1, 5029, 5024, 5020, -1,
 5020, 5024, 5018, -1, 5005, 3810, 3813, -1, 5005, 3813, 5008, -1,
 3813, 3817, 5008, -1, 5008, 3817, 3821, -1, 5008, 3821, 5018, -1,
 5018, 3821, 3840, -1, 5018, 3840, 5020, -1, 3844, 3852, 5029, -1,
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 3853, 5039, 3852, -1, 3852, 5039, 5032, -1, 3852, 5032, 5029, -1,
 3853, 3857, 5039, -1, 5039, 3857, 3903, -1, 5039, 3903, 5060, -1,
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 5077, 3933, 5080, -1, 5080, 3933, 3950, -1, 5080, 3950, 5089, -1,
 5089, 3950, 3969, -1, 5089, 3969, 5100, -1, 3969, 3974, 5100, -1,
 5100, 3974, 3988, -1, 5100, 3988, 5105, -1, 3600, 3621, 3634, -1,
 3669, 3692, 3715, -1, 3974, 3969, 3929, -1, 3840, 3821, 3782, -1,
 3725, 3813, 3810, -1, 3840, 3782, 3841, -1, 3844, 3823, 3852, -1,
 3852, 3823, 3780, -1, 3852, 3780, 3853, -1, 3857, 3851, 3903, -1,
 3903, 3851, 3816, -1, 3903, 3816, 3932, -1, 3932, 3816, 3933, -1,
 3816, 3808, 3933, -1, 3933, 3808, 3929, -1, 3933, 3929, 3950, -1,
 3950, 3929, 3969, -1, 3810, 3721, 3725, -1, 3725, 3721, 3719, -1,
 3725, 3719, 3644, -1, 3719, 3632, 3644, -1, 3644, 3632, 3630, -1,
 3644, 3630, 3581, -1, 3817, 3813, 3733, -1, 3733, 3813, 3725, -1,
 3733, 3725, 3673, -1, 3673, 3725, 3644, -1, 3673, 3644, 3618, -1,
 3618, 3644, 3581, -1, 3618, 3581, 3579, -1, 3579, 3581, 3545, -1,
 3988, 3974, 3927, -1, 3927, 3974, 3929, -1, 3927, 3929, 3876, -1,
 3876, 3929, 3808, -1, 3876, 3808, 3806, -1, 3806, 3808, 3762, -1,
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 3729, 3808, 3816, -1, 3729, 3816, 3780, -1, 3780, 3816, 3851, -1,
 3780, 3851, 3853, -1, 3853, 3851, 3857, -1, 3621, 3669, 3634, -1,
 3634, 3669, 3715, -1, 3634, 3715, 3671, -1, 3671, 3715, 3729, -1,
 3671, 3729, 3717, -1, 3717, 3729, 3780, -1, 3717, 3780, 3782, -1,
 3782, 3780, 3823, -1, 3782, 3823, 3841, -1, 3841, 3823, 3844, -1,
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 3618, 3634, 3671, -1, 3618, 3671, 3673, -1, 3673, 3671, 3717, -1,
 3673, 3717, 3733, -1, 3733, 3717, 3782, -1, 3733, 3782, 3817, -1,
 3817, 3782, 3821, -1, 3630, 3573, 3581, -1, 3581, 3573, 3571, -1,
 3581, 3571, 3545, -1, 3545, 3571, 3511, -1, 3545, 3511, 3509, -1,
 3562, 3579, 3543, -1, 3543, 3579, 3545, -1, 3543, 3545, 3507, -1,
 3507, 3545, 3509, -1, 3507, 3509, 3351, -1, 3520, 3500, 3504, -1,
 3504, 3500, 3416, -1, 3416, 3415, 3504, -1, 3504, 3415, 3488, -1,
 3504, 3488, 3498, -1, 3498, 3488, 3494, -1, 3520, 3504, 3557, -1,
 3557, 3504, 3534, -1, 3557, 3534, 3556, -1, 477, 565, 508, -1,
 508, 565, 1563, -1, 1567, 512, 569, -1, 477, 478, 160, -1,
 160, 478, 479, -1, 160, 479, 161, -1, 1563, 565, 1562, -1,
 1562, 565, 564, -1, 1562, 564, 160, -1, 160, 564, 476, -1,
 160, 476, 477, -1, 1567, 569, 1566, -1, 1566, 569, 568, -1,
 1566, 568, 511, -1, 511, 568, 480, -1, 511, 480, 510, -1,
 477, 508, 478, -1, 478, 508, 509, -1, 478, 509, 566, -1,
 566, 509, 1564, -1, 566, 1564, 567, -1, 388, 360, 481, -1,
 388, 481, 392, -1, 392, 481, 482, -1, 392, 482, 393, -1,
 393, 482, 483, -1, 393, 483, 1569, -1, 1569, 483, 571, -1,
 1569, 571, 1568, -1, 1568, 571, 570, -1, 1568, 570, 513, -1,
 513, 570, 482, -1, 513, 482, 512, -1, 512, 482, 481, -1,
 512, 481, 569, -1, 360, 330, 481, -1, 481, 330, 270, -1,
 481, 270, 234, -1, 1564, 1565, 567, -1, 567, 1565, 510, -1,
 567, 510, 479, -1, 479, 510, 480, -1, 479, 480, 161, -1,
 161, 480, 481, -1, 161, 481, 194, -1, 194, 481, 234, -1,
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 2212, 2126, 2190, -1, 2211, 2187, 2192, -1, 2192, 2187, 2121, -1,
 2192, 2121, 2191, -1, 2191, 2121, 2120, -1, 2256, 2243, 2254, -1,
 2254, 2243, 2241, -1, 2254, 2241, 2252, -1, 2252, 2241, 2239, -1,
 2252, 2239, 2245, -1, 2245, 2239, 2235, -1, 2245, 2235, 2237, -1,
 2189, 2196, 2190, -1, 2190, 2196, 2198, -1, 2190, 2198, 2200, -1,
 2238, 2234, 2246, -1, 2246, 2234, 2236, -1, 2246, 2236, 2253, -1,
 2253, 2236, 2240, -1, 2253, 2240, 2255, -1, 2255, 2240, 2242, -1,
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 2257, 2248, 2259, -1, 2259, 2248, 2250, -1, 2259, 2250, 2260, -1,
 2260, 2250, 2251, -1, 2260, 2251, 2258, -1, 2258, 2251, 2249, -1,
 2258, 2249, 2256, -1, 2256, 2249, 2247, -1, 2256, 2247, 2243, -1,
 2235, 2233, 2237, -1, 2237, 2233, 2229, -1, 2237, 2229, 2231, -1,
 2231, 2229, 2225, -1, 2231, 2225, 2227, -1, 2227, 2225, 2223, -1,
 2227, 2223, 2221, -1, 2221, 2223, 2219, -1, 2221, 2219, 2217, -1,
 2217, 2219, 2215, -1, 2217, 2215, 2211, -1, 2211, 2215, 2213, -1,
 2211, 2213, 2209, -1, 2187, 2201, 2199, -1, 2200, 2202, 2190, -1,
 2190, 2202, 2204, -1, 2190, 2204, 2212, -1, 2212, 2204, 2206, -1,
 2212, 2206, 2208, -1, 2208, 2210, 2212, -1, 2212, 2210, 2214, -1,
 2212, 2214, 2218, -1, 2218, 2214, 2216, -1, 2218, 2216, 2222, -1,
 2222, 2216, 2220, -1, 2222, 2220, 2228, -1, 2228, 2220, 2224, -1,
 2228, 2224, 2232, -1, 2232, 2224, 2226, -1, 2232, 2226, 2238, -1,
 2238, 2226, 2230, -1, 2238, 2230, 2234, -1, 2209, 2207, 2211, -1,
 2211, 2207, 2205, -1, 2211, 2205, 2187, -1, 2187, 2205, 2203, -1,
 2187, 2203, 2201, -1, 2199, 2197, 2187, -1, 2187, 2197, 2195, -1,
 2187, 2195, 2188, -1, 19, 18, 17, -1, 17, 18, 16, -1,
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 1622, 1337, 1623, -1, 1623, 1337, 1318, -1, 1623, 1318, 407, -1,
 407, 1318, 1201, -1, 407, 1201, 1084, -1, 868, 985, 192, -1,
 192, 985, 1103, -1, 192, 1103, 1620, -1, 1620, 1103, 1219, -1,
 1620, 1219, 1336, -1, 192, 193, 213, -1, 406, 1084, 389, -1,
 389, 1084, 968, -1, 389, 968, 851, -1, 751, 192, 615, -1,
 615, 192, 213, -1, 615, 213, 235, -1, 728, 727, 235, -1,
 235, 727, 616, -1, 235, 616, 615, -1, 275, 331, 617, -1,
 617, 331, 361, -1, 617, 361, 618, -1, 618, 361, 389, -1,
 618, 389, 733, -1, 733, 389, 851, -1, 732, 731, 235, -1,
 235, 731, 730, -1, 235, 730, 728, -1, 275, 617, 235, -1,
 235, 617, 729, -1, 235, 729, 732, -1, 615, 616, 620, -1,
 617, 618, 619, -1, 619, 618, 621, -1, 724, 708, 726, -1,
 726, 708, 709, -1, 726, 709, 725, -1, 725, 709, 706, -1,
 725, 706, 723, -1, 714, 692, 716, -1, 716, 692, 694, -1,
 716, 694, 718, -1, 694, 696, 718, -1, 718, 696, 698, -1,
 718, 698, 720, -1, 720, 698, 700, -1, 720, 700, 722, -1,
 722, 700, 705, -1, 722, 705, 724, -1, 724, 705, 707, -1,
 724, 707, 708, -1, 620, 622, 615, -1, 615, 622, 624, -1,
 615, 624, 626, -1, 706, 704, 723, -1, 723, 704, 703, -1,
 723, 703, 721, -1, 721, 703, 699, -1, 721, 699, 719, -1,
 719, 699, 697, -1, 719, 697, 717, -1, 618, 630, 628, -1,
 626, 627, 615, -1, 615, 627, 629, -1, 615, 629, 631, -1,
 628, 625, 618, -1, 618, 625, 623, -1, 618, 623, 621, -1,
 701, 680, 710, -1, 710, 680, 684, -1, 710, 684, 712, -1,
 712, 684, 686, -1, 712, 686, 714, -1, 714, 686, 688, -1,
 714, 688, 692, -1, 618, 638, 635, -1, 697, 695, 717, -1,
 717, 695, 693, -1, 717, 693, 715, -1, 715, 693, 689, -1,
 715, 689, 713, -1, 635, 634, 618, -1, 618, 634, 632, -1,
 618, 632, 630, -1, 631, 633, 615, -1, 615, 633, 636, -1,
 615, 636, 637, -1, 637, 639, 615, -1, 615, 639, 641, -1,
 615, 641, 644, -1, 618, 645, 643, -1, 643, 642, 618, -1,
 618, 642, 640, -1, 618, 640, 638, -1, 644, 646, 615, -1,
 615, 646, 648, -1, 615, 648, 656, -1, 656, 648, 650, -1,
 656, 650, 652, -1, 669, 666, 675, -1, 675, 666, 668, -1,
 675, 668, 682, -1, 682, 668, 672, -1, 682, 672, 690, -1,
 690, 672, 674, -1, 690, 674, 701, -1, 701, 674, 677, -1,
 701, 677, 680, -1, 689, 687, 713, -1, 713, 687, 685, -1,
 713, 685, 711, -1, 711, 685, 681, -1, 711, 681, 702, -1,
 652, 654, 656, -1, 656, 654, 655, -1, 656, 655, 662, -1,
 662, 655, 659, -1, 662, 659, 669, -1, 669, 659, 661, -1,
 669, 661, 666, -1, 653, 651, 657, -1, 657, 651, 649, -1,
 657, 649, 618, -1, 618, 649, 647, -1, 618, 647, 645, -1,
 670, 664, 663, -1, 663, 664, 660, -1, 663, 660, 657, -1,
 657, 660, 658, -1, 657, 658, 653, -1, 681, 679, 702, -1,
 702, 679, 678, -1, 702, 678, 691, -1, 691, 678, 673, -1,
 691, 673, 683, -1, 683, 673, 671, -1, 683, 671, 676, -1,
 676, 671, 667, -1, 676, 667, 670, -1, 670, 667, 665, -1,
 670, 665, 664, -1, 1600, 172, 1608, -1, 1608, 172, 174, -1,
 2211, 1956, 1871, -1, 2192, 2084, 2211, -1, 2211, 2084, 2023, -1,
 2211, 2023, 1956, -1, 1336, 1398, 1621, -1, 1621, 1398, 2211, -1,
 1621, 2211, 1747, -1, 1747, 2211, 1871, -1, 1504, 2260, 1502, -1,
 1502, 2260, 2258, -1, 2256, 1498, 2258, -1, 2258, 1498, 1500, -1,
 2258, 1500, 1502, -1, 1490, 1492, 2254, -1, 2254, 1492, 1494, -1,
 2254, 1494, 2256, -1, 2256, 1494, 1496, -1, 2256, 1496, 1498, -1,
 1490, 2254, 1488, -1, 1488, 2254, 2252, -1, 1488, 2252, 1486, -1,
 1486, 2252, 1484, -1, 1484, 2252, 2245, -1, 1484, 2245, 1482, -1,
 1482, 2245, 1480, -1, 1480, 2245, 2237, -1, 1480, 2237, 1478, -1,
 2231, 1474, 2237, -1, 2237, 1474, 1476, -1, 2237, 1476, 1478, -1,
 2227, 1453, 2231, -1, 2231, 1453, 1462, -1, 2231, 1462, 1474, -1,
 1424, 1429, 2221, -1, 2221, 1429, 1438, -1, 2221, 1438, 2227, -1,
 2227, 1438, 1441, -1, 2227, 1441, 1453, -1, 1424, 2221, 1417, -1,
 1417, 2221, 2217, -1, 1417, 2217, 1412, -1, 1412, 2217, 1406, -1,
 1406, 2217, 2211, -1, 1406, 2211, 1398, -1, 2158, 2160, 2185, -1,
 2185, 2169, 2171, -1, 2181, 2179, 2186, -1, 2186, 2179, 2178, -1,
 2186, 2178, 2175, -1, 2171, 2173, 2185, -1, 2185, 2173, 2174, -1,
 2185, 2174, 2177, -1, 2160, 2162, 2185, -1, 2185, 2162, 2164, -1,
 2185, 2164, 2169, -1, 2177, 2182, 2185, -1, 2185, 2182, 2180, -1,
 2185, 2180, 2186, -1, 2186, 2180, 2176, -1, 2186, 2176, 2181, -1,
 2175, 2172, 2186, -1, 2186, 2172, 2170, -1, 2186, 2170, 2166, -1,
 2154, 2155, 2185, -1, 2185, 2155, 2157, -1, 2185, 2157, 2158, -1,
 2166, 2165, 2186, -1, 2186, 2165, 2163, -1, 2186, 2163, 2161, -1,
 2132, 2185, 2130, -1, 2130, 2185, 2128, -1, 2132, 2134, 2185, -1,
 2185, 2134, 2136, -1, 2185, 2136, 2138, -1, 2138, 2140, 2185, -1,
 2185, 2140, 2144, -1, 2185, 2144, 2146, -1, 2161, 2159, 2186, -1,
 2186, 2159, 2156, -1, 2186, 2156, 2153, -1, 2153, 2152, 2186, -1,
 2186, 2152, 2150, -1, 2186, 2150, 2148, -1, 2146, 2149, 2185, -1,
 2185, 2149, 2151, -1, 2185, 2151, 2154, -1, 2148, 2147, 2186, -1,
 2186, 2147, 2145, -1, 2186, 2145, 2141, -1, 2135, 2133, 2186, -1,
 2186, 2133, 2131, -1, 2186, 2131, 2129, -1, 2141, 2139, 2186, -1,
 2186, 2139, 2137, -1, 2186, 2137, 2135, -1, 611, 1602, 1606, -1,
 1796, 1794, 610, -1, 1507, 609, 1505, -1, 1875, 1960, 1978, -1,
 2050, 2037, 2049, -1, 2049, 2037, 1978, -1, 2049, 1978, 2031, -1,
 2031, 1978, 1960, -1, 597, 596, 602, -1, 610, 608, 609, -1,
 609, 608, 602, -1, 602, 608, 603, -1, 602, 603, 597, -1,
 1875, 1978, 1759, -1, 1759, 1978, 1883, -1, 1759, 1883, 1633, -1,
 1633, 1883, 1796, -1, 1633, 1796, 1550, -1, 610, 609, 1796, -1,
 1796, 609, 1507, -1, 1796, 1507, 1550, -1, 1893, 1987, 1824, -1,
 1824, 1987, 1894, -1, 2185, 2186, 2117, -1, 2117, 2111, 2185, -1,
 2185, 2111, 2102, -1, 2185, 2102, 2062, -1, 2061, 2101, 1988, -1,
 1988, 2101, 2110, -1, 599, 598, 604, -1, 1894, 1987, 1988, -1,
 1988, 1987, 2046, -1, 1988, 2046, 2061, -1, 2062, 2047, 2185, -1,
 2185, 2047, 1988, -1, 2185, 1988, 2116, -1, 2116, 1988, 2110, -1,
 599, 604, 605, -1, 605, 604, 611, -1, 605, 611, 612, -1,
 612, 611, 1607, -1, 1607, 611, 1606, -1, 1607, 1606, 1682, -1,
 1682, 1606, 1681, -1, 1682, 1681, 1824, -1, 1824, 1681, 1823, -1,
 1824, 1823, 1893, -1, 1, 9, 0, -1, 0, 9, 8, -1,
 557, 565, 477, -1, 477, 469, 557, -1, 557, 469, 453, -1,
 557, 453, 547, -1, 547, 453, 445, -1, 9, 1, 409, -1,
 409, 1, 461, -1, 409, 461, 421, -1, 421, 461, 485, -1,
 421, 485, 429, -1, 429, 485, 493, -1, 429, 493, 437, -1,
 437, 493, 501, -1, 437, 501, 445, -1, 445, 501, 517, -1,
 445, 517, 547, -1, 565, 557, 564, -1, 564, 557, 556, -1,
 460, 0, 8, -1, 476, 564, 468, -1, 468, 564, 556, -1,
 468, 556, 452, -1, 452, 556, 546, -1, 452, 546, 444, -1,
 444, 546, 516, -1, 444, 516, 436, -1, 436, 516, 500, -1,
 436, 500, 428, -1, 8, 408, 460, -1, 460, 408, 420, -1,
 460, 420, 484, -1, 484, 420, 428, -1, 484, 428, 492, -1,
 492, 428, 500, -1, 0, 460, 1, -1, 1, 460, 461, -1,
 3, 11, 2, -1, 2, 11, 10, -1, 559, 567, 479, -1,
 479, 471, 559, -1, 559, 471, 455, -1, 559, 455, 549, -1,
 549, 455, 447, -1, 11, 3, 411, -1, 411, 3, 463, -1,
 411, 463, 423, -1, 423, 463, 487, -1, 423, 487, 431, -1,
 431, 487, 495, -1, 431, 495, 439, -1, 439, 495, 503, -1,
 439, 503, 447, -1, 447, 503, 519, -1, 447, 519, 549, -1,
 567, 559, 566, -1, 566, 559, 558, -1, 462, 2, 10, -1,
 478, 566, 470, -1, 470, 566, 558, -1, 470, 558, 454, -1,
 454, 558, 548, -1, 454, 548, 446, -1, 446, 548, 518, -1,
 446, 518, 438, -1, 438, 518, 502, -1, 438, 502, 430, -1,
 10, 410, 462, -1, 462, 410, 422, -1, 462, 422, 486, -1,
 486, 422, 430, -1, 486, 430, 494, -1, 494, 430, 502, -1,
 2, 462, 3, -1, 3, 462, 463, -1, 11, 411, 10, -1,
 10, 411, 410, -1, 478, 470, 479, -1, 479, 470, 471, -1,
 476, 468, 477, -1, 477, 468, 469, -1, 9, 409, 8, -1,
 8, 409, 408, -1, 410, 411, 422, -1, 422, 411, 423, -1,
 422, 423, 430, -1, 430, 423, 431, -1, 430, 431, 438, -1,
 438, 431, 439, -1, 438, 439, 446, -1, 446, 439, 447, -1,
 446, 447, 454, -1, 454, 447, 455, -1, 454, 455, 470, -1,
 470, 455, 471, -1, 408, 409, 420, -1, 420, 409, 421, -1,
 420, 421, 428, -1, 428, 421, 429, -1, 428, 429, 436, -1,
 436, 429, 437, -1, 436, 437, 444, -1, 444, 437, 445, -1,
 444, 445, 452, -1, 452, 445, 453, -1, 452, 453, 468, -1,
 468, 453, 469, -1, 558, 559, 549, -1, 558, 549, 548, -1,
 548, 549, 519, -1, 548, 519, 518, -1, 518, 519, 503, -1,
 518, 503, 502, -1, 502, 503, 495, -1, 502, 495, 494, -1,
 494, 495, 487, -1, 494, 487, 486, -1, 486, 487, 463, -1,
 486, 463, 462, -1, 556, 557, 547, -1, 556, 547, 546, -1,
 546, 547, 517, -1, 546, 517, 516, -1, 516, 517, 501, -1,
 516, 501, 500, -1, 500, 501, 493, -1, 500, 493, 492, -1,
 492, 493, 485, -1, 492, 485, 484, -1, 484, 485, 461, -1,
 484, 461, 460, -1, 1500, 1498, 1315, -1, 1490, 1488, 1312, -1,
 1486, 1484, 1311, -1, 1476, 1474, 1308, -1, 1462, 1453, 1295, -1,
 1424, 1417, 1273, -1, 1412, 1406, 1267, -1, 1218, 1317, 1316, -1,
 1504, 1502, 1335, -1, 1335, 1502, 1316, -1, 1335, 1316, 1334, -1,
 1334, 1316, 1317, -1, 1100, 1200, 1083, -1, 1083, 1200, 1082, -1,
 1083, 1082, 984, -1, 1100, 1101, 1200, -1, 1200, 1101, 1102, -1,
 1200, 1102, 1316, -1, 1316, 1102, 1217, -1, 1316, 1217, 1218, -1,
 984, 1082, 967, -1, 967, 1082, 965, -1, 967, 965, 966, -1,
 848, 850, 965, -1, 965, 850, 867, -1, 965, 867, 966, -1,
 724, 726, 848, -1, 848, 726, 749, -1, 749, 750, 848, -1,
 848, 750, 849, -1, 848, 849, 850, -1, 682, 690, 817, -1,
 817, 690, 824, -1, 817, 824, 934, -1, 934, 824, 942, -1,
 934, 942, 1052, -1, 1052, 942, 1060, -1, 1052, 1060, 1170, -1,
 1170, 1060, 1179, -1, 1170, 1179, 1286, -1, 1286, 1179, 1295, -1,
 712, 714, 842, -1, 842, 714, 843, -1, 842, 843, 959, -1,
 959, 843, 960, -1, 959, 960, 1076, -1, 1076, 960, 1077, -1,
 1076, 1077, 1194, -1, 1194, 1077, 1195, -1, 1194, 1195, 1310, -1,
 1310, 1195, 1311, -1, 720, 722, 846, -1, 846, 722, 847, -1,
 846, 847, 963, -1, 963, 847, 964, -1, 963, 964, 1080, -1,
 1080, 964, 1081, -1, 1080, 1081, 1198, -1, 1198, 1081, 1199, -1,
 1198, 1199, 1314, -1, 1314, 1199, 1315, -1, 656, 662, 794, -1,
 794, 662, 799, -1, 794, 799, 911, -1, 911, 799, 916, -1,
 911, 916, 1028, -1, 1028, 916, 1033, -1, 1028, 1033, 1146, -1,
 1146, 1033, 1151, -1, 1146, 1151, 1262, -1, 1262, 1151, 1267, -1,
 1262, 1267, 1398, -1, 1398, 1267, 1406, -1, 662, 669, 799, -1,
 799, 669, 805, -1, 799, 805, 916, -1, 916, 805, 922, -1,
 916, 922, 1033, -1, 1033, 922, 1039, -1, 1033, 1039, 1151, -1,
 1151, 1039, 1157, -1, 1151, 1157, 1267, -1, 1267, 1157, 1273, -1,
 1267, 1273, 1412, -1, 1412, 1273, 1417, -1, 1429, 1424, 1280, -1,
 1280, 1424, 1273, -1, 1280, 1273, 1164, -1, 1164, 1273, 1157, -1,
 1164, 1157, 1045, -1, 1045, 1157, 1039, -1, 1045, 1039, 927, -1,
 927, 1039, 922, -1, 927, 922, 810, -1, 810, 922, 805, -1,
 810, 805, 675, -1, 675, 805, 669, -1, 675, 682, 810, -1,
 810, 682, 817, -1, 810, 817, 927, -1, 927, 817, 934, -1,
 927, 934, 1045, -1, 1045, 934, 1052, -1, 1045, 1052, 1164, -1,
 1164, 1052, 1170, -1, 1164, 1170, 1280, -1, 1280, 1170, 1286, -1,
 1280, 1286, 1429, -1, 1429, 1286, 1438, -1, 1295, 1453, 1286, -1,
 1286, 1453, 1441, -1, 1286, 1441, 1438, -1, 690, 701, 824, -1,
 824, 701, 836, -1, 824, 836, 942, -1, 942, 836, 957, -1,
 942, 957, 1060, -1, 1060, 957, 1074, -1, 1060, 1074, 1179, -1,
 1179, 1074, 1192, -1, 1179, 1192, 1295, -1, 1295, 1192, 1308, -1,
 1295, 1308, 1462, -1, 1462, 1308, 1474, -1, 1478, 1476, 1309, -1,
 1309, 1476, 1308, -1, 1309, 1308, 1193, -1, 1193, 1308, 1192, -1,
 1193, 1192, 1075, -1, 1075, 1192, 1074, -1, 1075, 1074, 958, -1,
 958, 1074, 957, -1, 958, 957, 841, -1, 841, 957, 836, -1,
 841, 836, 710, -1, 710, 836, 701, -1, 710, 712, 841, -1,
 841, 712, 842, -1, 841, 842, 958, -1, 958, 842, 959, -1,
 958, 959, 1075, -1, 1075, 959, 1076, -1, 1075, 1076, 1193, -1,
 1193, 1076, 1194, -1, 1193, 1194, 1309, -1, 1309, 1194, 1310, -1,
 1309, 1310, 1478, -1, 1478, 1310, 1480, -1, 1311, 1484, 1310, -1,
 1310, 1484, 1482, -1, 1310, 1482, 1480, -1, 714, 716, 843, -1,
 843, 716, 844, -1, 843, 844, 960, -1, 960, 844, 961, -1,
 960, 961, 1077, -1, 1077, 961, 1078, -1, 1077, 1078, 1195, -1,
 1195, 1078, 1196, -1, 1195, 1196, 1311, -1, 1311, 1196, 1312, -1,
 1311, 1312, 1486, -1, 1486, 1312, 1488, -1, 1492, 1490, 1313, -1,
 1313, 1490, 1312, -1, 1313, 1312, 1197, -1, 1197, 1312, 1196, -1,
 1197, 1196, 1079, -1, 1079, 1196, 1078, -1, 1079, 1078, 962, -1,
 962, 1078, 961, -1, 962, 961, 845, -1, 845, 961, 844, -1,
 845, 844, 718, -1, 718, 844, 716, -1, 718, 720, 845, -1,
 845, 720, 846, -1, 845, 846, 962, -1, 962, 846, 963, -1,
 962, 963, 1079, -1, 1079, 963, 1080, -1, 1079, 1080, 1197, -1,
 1197, 1080, 1198, -1, 1197, 1198, 1313, -1, 1313, 1198, 1314, -1,
 1313, 1314, 1492, -1, 1492, 1314, 1494, -1, 1315, 1498, 1314, -1,
 1314, 1498, 1496, -1, 1314, 1496, 1494, -1, 1502, 1500, 1316, -1,
 1316, 1500, 1315, -1, 1316, 1315, 1200, -1, 1200, 1315, 1199, -1,
 1200, 1199, 1082, -1, 1082, 1199, 1081, -1, 1082, 1081, 965, -1,
 965, 1081, 964, -1, 965, 964, 848, -1, 848, 964, 847, -1,
 848, 847, 724, -1, 724, 847, 722, -1, 615, 656, 794, -1,
 615, 794, 751, -1, 751, 794, 911, -1, 751, 911, 868, -1,
 868, 911, 1028, -1, 868, 1028, 985, -1, 985, 1028, 1146, -1,
 985, 1146, 1103, -1, 1103, 1146, 1262, -1, 1103, 1262, 1219, -1,
 1219, 1262, 1398, -1, 1219, 1398, 1336, -1, 1564, 1679, 1565, -1,
 1565, 1679, 1736, -1, 1679, 1732, 1736, -1, 1736, 1732, 1800, -1,
 1736, 1800, 1852, -1, 1800, 1846, 1852, -1, 1852, 1846, 1916, -1,
 1852, 1916, 1945, -1, 1916, 1939, 1945, -1, 1945, 1939, 1985, -1,
 1945, 1985, 2012, -1, 1985, 2008, 2012, -1, 2012, 2008, 2044, -1,
 2012, 2044, 2071, -1, 2071, 2044, 2065, -1, 2071, 2065, 2123, -1,
 2123, 2065, 2099, -1, 2123, 2099, 2122, -1, 2050, 2079, 2097, -1,
 2050, 2097, 2037, -1, 2097, 2095, 2037, -1, 2037, 2095, 2035, -1,
 2037, 2035, 1978, -1, 2035, 2033, 1978, -1, 1978, 2033, 1976, -1,
 1978, 1976, 1883, -1, 1976, 1974, 1883, -1, 1883, 1974, 1887, -1,
 1883, 1887, 1796, -1, 1796, 1887, 1885, -1, 1796, 1885, 1794, -1,
 2122, 2097, 2183, -1, 2183, 2097, 2079, -1, 2183, 2079, 2114, -1,
 2114, 2079, 2104, -1, 2114, 2104, 2108, -1, 193, 192, 118, -1,
 193, 118, 119, -1, 119, 118, 86, -1, 119, 86, 87, -1,
 87, 86, 58, -1, 87, 58, 59, -1, 59, 58, 38, -1,
 59, 38, 39, -1, 39, 38, 26, -1, 39, 26, 27, -1,
 27, 26, 18, -1, 27, 18, 19, -1, 192, 189, 130, -1,
 128, 152, 144, -1, 174, 116, 126, -1, 144, 152, 174, -1,
 158, 174, 152, -1, 158, 152, 154, -1, 154, 152, 128, -1,
 154, 128, 146, -1, 177, 174, 158, -1, 108, 136, 100, -1,
 100, 136, 126, -1, 100, 126, 92, -1, 92, 126, 116, -1,
 92, 116, 82, -1, 177, 158, 180, -1, 180, 158, 154, -1,
 180, 154, 183, -1, 183, 154, 146, -1, 183, 146, 186, -1,
 110, 108, 84, -1, 84, 108, 100, -1, 84, 100, 72, -1,
 72, 100, 92, -1, 72, 92, 64, -1, 64, 92, 82, -1,
 64, 82, 56, -1, 138, 110, 102, -1, 102, 110, 84, -1,
 102, 84, 74, -1, 74, 84, 72, -1, 74, 72, 50, -1,
 50, 72, 64, -1, 50, 64, 44, -1, 44, 64, 56, -1,
 44, 56, 36, -1, 189, 138, 130, -1, 130, 138, 102, -1,
 130, 102, 94, -1, 94, 102, 74, -1, 94, 74, 66, -1,
 66, 74, 50, -1, 66, 50, 46, -1, 46, 50, 44, -1,
 46, 44, 30, -1, 30, 44, 36, -1, 30, 36, 24, -1,
 192, 130, 118, -1, 118, 130, 94, -1, 118, 94, 86, -1,
 86, 94, 66, -1, 86, 66, 58, -1, 58, 66, 46, -1,
 58, 46, 38, -1, 38, 46, 30, -1, 38, 30, 26, -1,
 26, 30, 24, -1, 26, 24, 18, -1, 136, 174, 126, -1,
 189, 186, 138, -1, 138, 186, 146, -1, 138, 146, 110, -1,
 110, 146, 128, -1, 110, 128, 108, -1, 108, 128, 144, -1,
 108, 144, 136, -1, 136, 144, 174, -1, 17, 16, 20, -1,
 17, 20, 21, -1, 21, 20, 32, -1, 21, 32, 33, -1,
 33, 32, 52, -1, 33, 52, 53, -1, 53, 52, 76, -1,
 53, 76, 77, -1, 77, 76, 112, -1, 77, 112, 113, -1,
 113, 112, 160, -1, 113, 160, 161, -1, 174, 172, 114, -1,
 174, 114, 116, -1, 116, 114, 80, -1, 116, 80, 82, -1,
 82, 80, 54, -1, 82, 54, 56, -1, 56, 54, 34, -1,
 56, 34, 36, -1, 36, 34, 22, -1, 36, 22, 24, -1,
 24, 22, 16, -1, 24, 16, 18, -1, 1608, 174, 177, -1,
 1608, 177, 1610, -1, 1610, 177, 180, -1, 1610, 180, 1612, -1,
 1612, 180, 183, -1, 1612, 183, 1614, -1, 1614, 183, 186, -1,
 1614, 186, 1616, -1, 1616, 186, 189, -1, 1616, 189, 1618, -1,
 1618, 189, 192, -1, 1618, 192, 1620, -1, 1620, 1621, 1747, -1,
 1620, 1747, 1746, -1, 1746, 1747, 1871, -1, 1746, 1871, 1870, -1,
 1870, 1871, 1956, -1, 1870, 1956, 1955, -1, 1955, 1956, 2023, -1,
 1955, 2023, 2022, -1, 2022, 2023, 2084, -1, 2022, 2084, 2083, -1,
 2083, 2084, 2192, -1, 2083, 2192, 2191, -1, 16, 22, 28, -1,
 98, 134, 142, -1, 172, 170, 156, -1, 142, 134, 172, -1,
 124, 172, 134, -1, 124, 134, 90, -1, 90, 134, 98, -1,
 90, 98, 62, -1, 114, 172, 124, -1, 106, 150, 122, -1,
 122, 150, 156, -1, 122, 156, 148, -1, 148, 156, 170, -1,
 148, 170, 168, -1, 114, 124, 80, -1, 80, 124, 90, -1,
 80, 90, 54, -1, 54, 90, 62, -1, 54, 62, 34, -1,
 70, 106, 78, -1, 78, 106, 122, -1, 78, 122, 104, -1,
 104, 122, 148, -1, 104, 148, 140, -1, 140, 148, 168, -1,
 140, 168, 166, -1, 42, 70, 48, -1, 48, 70, 78, -1,
 48, 78, 68, -1, 68, 78, 104, -1, 68, 104, 96, -1,
 96, 104, 140, -1, 96, 140, 132, -1, 132, 140, 166, -1,
 132, 166, 164, -1, 22, 42, 28, -1, 28, 42, 48, -1,
 28, 48, 40, -1, 40, 48, 68, -1, 40, 68, 60, -1,
 60, 68, 96, -1, 60, 96, 88, -1, 88, 96, 132, -1,
 88, 132, 120, -1, 120, 132, 164, -1, 120, 164, 162, -1,
 16, 28, 20, -1, 20, 28, 40, -1, 20, 40, 32, -1,
 32, 40, 60, -1, 32, 60, 52, -1, 52, 60, 88, -1,
 52, 88, 76, -1, 76, 88, 120, -1, 76, 120, 112, -1,
 112, 120, 162, -1, 112, 162, 160, -1, 150, 172, 156, -1,
 22, 34, 42, -1, 42, 34, 62, -1, 42, 62, 70, -1,
 70, 62, 98, -1, 70, 98, 106, -1, 106, 98, 142, -1,
 106, 142, 150, -1, 150, 142, 172, -1, 2042, 2020, 2004, -1,
 1983, 1953, 1931, -1, 1842, 1724, 1701, -1, 1608, 1610, 1630, -1,
 1701, 1724, 1608, -1, 1686, 1608, 1724, -1, 1914, 1866, 1842, -1,
 1842, 1866, 1805, -1, 1842, 1805, 1724, -1, 1724, 1805, 1744, -1,
 1724, 1744, 1686, -1, 1779, 1652, 1726, -1, 1726, 1652, 1630, -1,
 1726, 1630, 1654, -1, 1654, 1630, 1610, -1, 1654, 1610, 1612, -1,
 1953, 1914, 1931, -1, 1931, 1914, 1842, -1, 1931, 1842, 1819, -1,
 1819, 1842, 1701, -1, 1819, 1701, 1669, -1, 1669, 1701, 1608, -1,
 1907, 1779, 1868, -1, 1868, 1779, 1726, -1, 1868, 1726, 1781, -1,
 1781, 1726, 1654, -1, 1781, 1654, 1671, -1, 1671, 1654, 1612, -1,
 1671, 1612, 1614, -1, 2004, 1907, 1970, -1, 1970, 1907, 1868, -1,
 1970, 1868, 1909, -1, 1909, 1868, 1781, -1, 1909, 1781, 1821, -1,
 1821, 1781, 1671, -1, 1821, 1671, 1703, -1, 1703, 1671, 1614, -1,
 1703, 1614, 1616, -1, 2093, 2081, 2059, -1, 2059, 2081, 2042, -1,
 2042, 2004, 2059, -1, 2059, 2004, 1970, -1, 2059, 1970, 2006, -1,
 2006, 1970, 1909, -1, 2006, 1909, 1933, -1, 1933, 1909, 1821, -1,
 1933, 1821, 1844, -1, 1844, 1821, 1703, -1, 1844, 1703, 1728, -1,
 1728, 1703, 1616, -1, 1728, 1616, 1618, -1, 2083, 2191, 2093, -1,
 2093, 2059, 2083, -1, 2083, 2059, 2006, -1, 2083, 2006, 2022, -1,
 2022, 2006, 1933, -1, 2022, 1933, 1955, -1, 1955, 1933, 1844, -1,
 1955, 1844, 1870, -1, 1870, 1844, 1728, -1, 1870, 1728, 1746, -1,
 1746, 1728, 1618, -1, 1746, 1618, 1620, -1, 1652, 1608, 1630, -1,
 2020, 1983, 2004, -1, 2004, 1983, 1931, -1, 2004, 1931, 1907, -1,
 1907, 1931, 1819, -1, 1907, 1819, 1779, -1, 1779, 1819, 1669, -1,
 1779, 1669, 1652, -1, 1652, 1669, 1608, -1, 172, 1600, 1594, -1,
 172, 1594, 170, -1, 170, 1594, 1588, -1, 170, 1588, 168, -1,
 168, 1588, 1582, -1, 168, 1582, 166, -1, 166, 1582, 1576, -1,
 166, 1576, 164, -1, 164, 1576, 1570, -1, 164, 1570, 162, -1,
 162, 1570, 1562, -1, 162, 1562, 160, -1, 1608, 1686, 1600, -1,
 1600, 1686, 1683, -1, 1683, 1686, 1740, -1, 1740, 1686, 1744, -1,
 1740, 1744, 1802, -1, 1802, 1744, 1805, -1, 1802, 1805, 1862, -1,
 1862, 1805, 1866, -1, 1862, 1866, 1911, -1, 1911, 1866, 1914, -1,
 1911, 1914, 1949, -1, 1949, 1914, 1953, -1, 1949, 1953, 1980, -1,
 1980, 1953, 1983, -1, 1980, 1983, 2016, -1, 2016, 1983, 2020, -1,
 2016, 2020, 2039, -1, 2039, 2020, 2042, -1, 2039, 2042, 2075, -1,
 2075, 2042, 2081, -1, 2075, 2081, 2090, -1, 2081, 2093, 2090, -1,
 2090, 2093, 2191, -1, 2090, 2191, 2120, -1, 1562, 1570, 1706, -1,
 1570, 1576, 1689, -1, 1640, 1624, 1646, -1, 1646, 1624, 1600, -1,
 1594, 1600, 1624, -1, 1718, 1600, 1683, -1, 1695, 1600, 1718, -1,
 1594, 1624, 1588, -1, 1588, 1624, 1640, -1, 1588, 1640, 1582, -1,
 1712, 1663, 1773, -1, 1773, 1663, 1695, -1, 1773, 1695, 1813, -1,
 1813, 1695, 1718, -1, 1813, 1718, 1836, -1, 1683, 1740, 1718, -1,
 1718, 1740, 1802, -1, 1718, 1802, 1836, -1, 1836, 1802, 1862, -1,
 1836, 1862, 1911, -1, 1657, 1712, 1767, -1, 1767, 1712, 1773, -1,
 1767, 1773, 1856, -1, 1856, 1773, 1813, -1, 1856, 1813, 1901, -1,
 1901, 1813, 1836, -1, 1901, 1836, 1925, -1, 1925, 1836, 1911, -1,
 1925, 1911, 1949, -1, 1576, 1657, 1689, -1, 1689, 1657, 1767, -1,
 1689, 1767, 1807, -1, 1807, 1767, 1856, -1, 1807, 1856, 1895, -1,
 1895, 1856, 1901, -1, 1895, 1901, 1964, -1, 1964, 1901, 1925, -1,
 1964, 1925, 1998, -1, 1998, 1925, 1949, -1, 1998, 1949, 1980, -1,
 1570, 1689, 1706, -1, 1706, 1689, 1807, -1, 1706, 1807, 1830, -1,
 1830, 1807, 1895, -1, 1830, 1895, 1919, -1, 1919, 1895, 1964, -1,
 1919, 1964, 1992, -1, 1992, 1964, 1998, -1, 1992, 1998, 2053, -1,
 1663, 1600, 1695, -1, 1576, 1582, 1657, -1, 1657, 1582, 1640, -1,
 1657, 1640, 1712, -1, 1712, 1640, 1646, -1, 1712, 1646, 1663, -1,
 1663, 1646, 1600, -1, 1980, 2016, 1998, -1, 1998, 2016, 2039, -1,
 1998, 2039, 2053, -1, 2053, 2039, 2075, -1, 2053, 2075, 2090, -1,
 1562, 1706, 1734, -1, 1734, 1706, 1830, -1, 1734, 1830, 1850, -1,
 1850, 1830, 1919, -1, 1850, 1919, 1943, -1, 1943, 1919, 1992, -1,
 1943, 1992, 2010, -1, 2010, 1992, 2053, -1, 2010, 2053, 2069, -1,
 2069, 2053, 2090, -1, 2069, 2090, 2120, -1, 1563, 1562, 1734, -1,
 1563, 1734, 1735, -1, 1735, 1734, 1850, -1, 1735, 1850, 1851, -1,
 1851, 1850, 1943, -1, 1851, 1943, 1944, -1, 1944, 1943, 2010, -1,
 1944, 2010, 2011, -1, 2011, 2010, 2069, -1, 2011, 2069, 2070, -1,
 2070, 2069, 2120, -1, 2070, 2120, 2121, -1, 1550, 1507, 1505, -1,
 1505, 1529, 1550, -1, 1550, 1529, 1548, -1, 1550, 1548, 1633, -1,
 1548, 1601, 1633, -1, 1633, 1601, 1635, -1, 1633, 1635, 1759, -1,
 1635, 1730, 1759, -1, 1759, 1730, 1757, -1, 1759, 1757, 1875, -1,
 1757, 1848, 1875, -1, 1875, 1848, 1879, -1, 1875, 1879, 1960, -1,
 1960, 1879, 1941, -1, 1941, 1958, 1960, -1, 1960, 1958, 2029, -1,
 1960, 2029, 2031, -1, 2031, 2029, 2049, -1, 2049, 2029, 2067, -1,
 2049, 2067, 2086, -1, 2086, 2067, 2088, -1, 2086, 2088, 2106, -1,
 2106, 2088, 2121, -1, 2106, 2121, 2187, -1, 1344, 1224, 1222, -1,
 616, 727, 756, -1, 755, 729, 617, -1, 755, 617, 757, -1,
 729, 755, 732, -1, 732, 755, 753, -1, 732, 753, 731, -1,
 731, 753, 752, -1, 731, 752, 730, -1, 730, 752, 754, -1,
 730, 754, 728, -1, 616, 756, 620, -1, 1297, 1452, 1294, -1,
 1294, 1452, 1450, -1, 1294, 1450, 1292, -1, 1450, 1449, 1292, -1,
 1292, 1449, 1446, -1, 1292, 1446, 1290, -1, 1290, 1446, 1444, -1,
 1290, 1444, 1288, -1, 1288, 1444, 1443, -1, 1288, 1443, 1285, -1,
 1285, 1443, 1437, -1, 1285, 1437, 1434, -1, 1432, 1281, 1434, -1,
 1434, 1281, 1283, -1, 1434, 1283, 1285, -1, 1432, 1431, 1281, -1,
 1281, 1431, 1428, -1, 1281, 1428, 1279, -1, 1279, 1428, 1422, -1,
 1279, 1422, 1276, -1, 1276, 1422, 1421, -1, 1276, 1421, 1274, -1,
 1274, 1421, 1419, -1, 1274, 1419, 1414, -1, 1411, 1269, 1414, -1,
 1414, 1269, 1271, -1, 1414, 1271, 1274, -1, 1411, 1409, 1269, -1,
 1269, 1409, 1408, -1, 1269, 1408, 1268, -1, 1268, 1408, 1403, -1,
 1268, 1403, 1265, -1, 1265, 1403, 1263, -1, 1403, 1401, 1263, -1,
 1263, 1401, 1400, -1, 1263, 1400, 1394, -1, 1393, 1257, 1394, -1,
 1394, 1257, 1259, -1, 1394, 1259, 1263, -1, 1393, 1391, 1257, -1,
 1257, 1391, 1388, -1, 1257, 1388, 1255, -1, 1255, 1388, 1386, -1,
 1255, 1386, 1253, -1, 1253, 1386, 1385, -1, 1253, 1385, 1251, -1,
 1385, 1383, 1251, -1, 1251, 1383, 1380, -1, 1251, 1380, 1249, -1,
 1249, 1380, 1379, -1, 1249, 1379, 1248, -1, 1248, 1379, 1378, -1,
 1248, 1378, 1375, -1, 1373, 1244, 1375, -1, 1375, 1244, 1246, -1,
 1375, 1246, 1248, -1, 1373, 1372, 1244, -1, 1244, 1372, 1368, -1,
 1244, 1368, 1241, -1, 1241, 1368, 1367, -1, 1241, 1367, 1240, -1,
 1240, 1367, 1365, -1, 1240, 1365, 1238, -1, 1238, 1365, 1364, -1,
 1238, 1364, 1361, -1, 1359, 1234, 1361, -1, 1361, 1234, 1236, -1,
 1361, 1236, 1238, -1, 1359, 1358, 1234, -1, 1234, 1358, 1354, -1,
 1234, 1354, 1231, -1, 1231, 1354, 1352, -1, 1231, 1352, 1229, -1,
 1229, 1352, 1351, -1, 1229, 1351, 1227, -1, 1351, 1349, 1227, -1,
 1227, 1349, 1346, -1, 1227, 1346, 1225, -1, 1225, 1346, 1223, -1,
 1346, 1345, 1223, -1, 1223, 1345, 1343, -1, 1223, 1343, 1340, -1,
 1338, 1220, 1340, -1, 1340, 1220, 1221, -1, 1340, 1221, 1223, -1,
 1338, 1339, 1220, -1, 1220, 1339, 1341, -1, 1220, 1341, 1222, -1,
 1222, 1341, 1342, -1, 1222, 1342, 1344, -1, 1224, 1108, 1106, -1,
 1108, 990, 988, -1, 990, 873, 871, -1, 727, 728, 756, -1,
 756, 728, 754, -1, 756, 754, 873, -1, 1226, 1347, 1348, -1,
 1226, 1348, 1228, -1, 1228, 1348, 1350, -1, 1228, 1350, 1353, -1,
 1355, 1232, 1353, -1, 1353, 1232, 1230, -1, 1353, 1230, 1228, -1,
 1355, 1356, 1232, -1, 1232, 1356, 1357, -1, 1232, 1357, 1233, -1,
 1233, 1357, 1360, -1, 1362, 1237, 1360, -1, 1360, 1237, 1235, -1,
 1360, 1235, 1233, -1, 1362, 1363, 1237, -1, 1237, 1363, 1366, -1,
 1237, 1366, 1239, -1, 1239, 1366, 1369, -1, 1239, 1369, 1242, -1,
 1369, 1370, 1242, -1, 1242, 1370, 1371, -1, 1242, 1371, 1243, -1,
 1243, 1371, 1374, -1, 1376, 1247, 1374, -1, 1374, 1247, 1245, -1,
 1374, 1245, 1243, -1, 1376, 1377, 1247, -1, 1247, 1377, 1381, -1,
 1247, 1381, 1250, -1, 1250, 1381, 1382, -1, 1250, 1382, 1252, -1,
 1382, 1384, 1252, -1, 1252, 1384, 1387, -1, 1252, 1387, 1254, -1,
 1254, 1387, 1389, -1, 1254, 1389, 1256, -1, 1256, 1389, 1390, -1,
 1256, 1390, 1258, -1, 1258, 1390, 1392, -1, 1258, 1392, 1395, -1,
 1396, 1261, 1395, -1, 1395, 1261, 1260, -1, 1395, 1260, 1258, -1,
 1396, 1397, 1261, -1, 1261, 1397, 1402, -1, 1261, 1402, 1264, -1,
 1264, 1402, 1404, -1, 1264, 1404, 1266, -1, 1404, 1405, 1266, -1,
 1266, 1405, 1410, -1, 1266, 1410, 1270, -1, 1270, 1410, 1415, -1,
 1270, 1415, 1272, -1, 1272, 1415, 1416, -1, 1272, 1416, 1275, -1,
 1416, 1420, 1275, -1, 1275, 1420, 1423, -1, 1275, 1423, 1277, -1,
 1277, 1423, 1426, -1, 1277, 1426, 1278, -1, 1426, 1427, 1278, -1,
 1278, 1427, 1433, -1, 1278, 1433, 1282, -1, 1282, 1433, 1435, -1,
 1282, 1435, 1284, -1, 1284, 1435, 1436, -1, 1284, 1436, 1287, -1,
 1436, 1440, 1287, -1, 1287, 1440, 1445, -1, 1287, 1445, 1289, -1,
 1289, 1445, 1447, -1, 1289, 1447, 1291, -1, 1447, 1448, 1291, -1,
 1291, 1448, 1451, -1, 1291, 1451, 1293, -1, 1293, 1451, 1455, -1,
 1293, 1455, 1296, -1, 1296, 1455, 1456, -1, 1296, 1456, 1298, -1,
 1456, 1458, 1298, -1, 1298, 1458, 1461, -1, 1298, 1461, 1300, -1,
 1300, 1461, 1465, -1, 1300, 1465, 1303, -1, 1465, 1467, 1303, -1,
 1303, 1467, 1469, -1, 1303, 1469, 1305, -1, 1305, 1469, 1471, -1,
 1472, 1307, 1471, -1, 1471, 1307, 1306, -1, 1471, 1306, 1305, -1,
 1472, 1473, 1307, -1, 1307, 1473, 1470, -1, 1307, 1470, 1304, -1,
 1470, 1468, 1304, -1, 1304, 1468, 1466, -1, 1304, 1466, 1302, -1,
 1302, 1466, 1464, -1, 1302, 1464, 1301, -1, 1301, 1464, 1460, -1,
 1301, 1460, 1299, -1, 1299, 1460, 1459, -1, 1299, 1459, 1297, -1,
 1297, 1459, 1457, -1, 1297, 1457, 1452, -1, 1224, 1106, 1222, -1,
 1222, 1106, 1104, -1, 1222, 1104, 1220, -1, 1220, 1104, 1105, -1,
 1220, 1105, 1221, -1, 1221, 1105, 1107, -1, 1221, 1107, 1223, -1,
 1223, 1107, 1109, -1, 1223, 1109, 1225, -1, 1225, 1109, 1111, -1,
 1225, 1111, 1227, -1, 1227, 1111, 1113, -1, 1227, 1113, 1229, -1,
 1229, 1113, 1115, -1, 1229, 1115, 1231, -1, 1231, 1115, 1118, -1,
 1231, 1118, 1234, -1, 1234, 1118, 1120, -1, 1234, 1120, 1236, -1,
 1236, 1120, 1122, -1, 1236, 1122, 1238, -1, 1238, 1122, 1124, -1,
 1238, 1124, 1240, -1, 1240, 1124, 1125, -1, 1240, 1125, 1241, -1,
 1241, 1125, 1128, -1, 1241, 1128, 1244, -1, 1244, 1128, 1130, -1,
 1244, 1130, 1246, -1, 1246, 1130, 1132, -1, 1246, 1132, 1248, -1,
 1248, 1132, 1133, -1, 1248, 1133, 1249, -1, 1249, 1133, 1135, -1,
 1249, 1135, 1251, -1, 1251, 1135, 1137, -1, 1251, 1137, 1253, -1,
 1253, 1137, 1139, -1, 1253, 1139, 1255, -1, 1255, 1139, 1141, -1,
 1255, 1141, 1257, -1, 1257, 1141, 1143, -1, 1257, 1143, 1259, -1,
 1259, 1143, 1147, -1, 1259, 1147, 1263, -1, 1263, 1147, 1149, -1,
 1263, 1149, 1265, -1, 1265, 1149, 1152, -1, 1265, 1152, 1268, -1,
 1268, 1152, 1153, -1, 1268, 1153, 1269, -1, 1269, 1153, 1155, -1,
 1269, 1155, 1271, -1, 1271, 1155, 1158, -1, 1271, 1158, 1274, -1,
 1274, 1158, 1160, -1, 1274, 1160, 1276, -1, 1276, 1160, 1163, -1,
 1276, 1163, 1279, -1, 1279, 1163, 1165, -1, 1279, 1165, 1281, -1,
 1281, 1165, 1167, -1, 1281, 1167, 1283, -1, 1283, 1167, 1169, -1,
 1283, 1169, 1285, -1, 1285, 1169, 1172, -1, 1285, 1172, 1288, -1,
 1288, 1172, 1174, -1, 1288, 1174, 1290, -1, 1290, 1174, 1176, -1,
 1290, 1176, 1292, -1, 1292, 1176, 1178, -1, 1292, 1178, 1294, -1,
 1294, 1178, 1181, -1, 1294, 1181, 1297, -1, 1297, 1181, 1183, -1,
 1297, 1183, 1299, -1, 1299, 1183, 1185, -1, 1299, 1185, 1301, -1,
 1301, 1185, 1186, -1, 1301, 1186, 1302, -1, 1302, 1186, 1188, -1,
 1302, 1188, 1304, -1, 1304, 1188, 1191, -1, 1304, 1191, 1307, -1,
 1307, 1191, 1190, -1, 1307, 1190, 1306, -1, 1306, 1190, 1189, -1,
 1306, 1189, 1305, -1, 1305, 1189, 1187, -1, 1305, 1187, 1303, -1,
 1303, 1187, 1184, -1, 1303, 1184, 1300, -1, 1300, 1184, 1182, -1,
 1300, 1182, 1298, -1, 1298, 1182, 1180, -1, 1298, 1180, 1296, -1,
 1296, 1180, 1177, -1, 1296, 1177, 1293, -1, 1293, 1177, 1175, -1,
 1293, 1175, 1291, -1, 1291, 1175, 1173, -1, 1291, 1173, 1289, -1,
 1289, 1173, 1171, -1, 1289, 1171, 1287, -1, 1287, 1171, 1168, -1,
 1287, 1168, 1284, -1, 1284, 1168, 1166, -1, 1284, 1166, 1282, -1,
 1282, 1166, 1162, -1, 1282, 1162, 1278, -1, 1278, 1162, 1161, -1,
 1278, 1161, 1277, -1, 1277, 1161, 1159, -1, 1277, 1159, 1275, -1,
 1275, 1159, 1156, -1, 1275, 1156, 1272, -1, 1272, 1156, 1154, -1,
 1272, 1154, 1270, -1, 1270, 1154, 1150, -1, 1270, 1150, 1266, -1,
 1266, 1150, 1148, -1, 1266, 1148, 1264, -1, 1264, 1148, 1145, -1,
 1264, 1145, 1261, -1, 1261, 1145, 1144, -1, 1261, 1144, 1260, -1,
 1260, 1144, 1142, -1, 1260, 1142, 1258, -1, 1258, 1142, 1140, -1,
 1258, 1140, 1256, -1, 1256, 1140, 1138, -1, 1256, 1138, 1254, -1,
 1254, 1138, 1136, -1, 1254, 1136, 1252, -1, 1252, 1136, 1134, -1,
 1252, 1134, 1250, -1, 1250, 1134, 1131, -1, 1250, 1131, 1247, -1,
 1247, 1131, 1129, -1, 1247, 1129, 1245, -1, 1245, 1129, 1127, -1,
 1245, 1127, 1243, -1, 1243, 1127, 1126, -1, 1243, 1126, 1242, -1,
 1242, 1126, 1123, -1, 1242, 1123, 1239, -1, 1239, 1123, 1121, -1,
 1239, 1121, 1237, -1, 1237, 1121, 1119, -1, 1237, 1119, 1235, -1,
 1235, 1119, 1117, -1, 1235, 1117, 1233, -1, 1233, 1117, 1116, -1,
 1233, 1116, 1232, -1, 1232, 1116, 1114, -1, 1232, 1114, 1230, -1,
 1230, 1114, 1112, -1, 1230, 1112, 1228, -1, 1228, 1112, 1110, -1,
 1228, 1110, 1226, -1, 1108, 988, 1106, -1, 1106, 988, 986, -1,
 1106, 986, 1104, -1, 1104, 986, 987, -1, 1104, 987, 1105, -1,
 1105, 987, 989, -1, 1105, 989, 1107, -1, 1107, 989, 991, -1,
 1107, 991, 1109, -1, 1109, 991, 993, -1, 1109, 993, 1111, -1,
 1111, 993, 995, -1, 1111, 995, 1113, -1, 1113, 995, 997, -1,
 1113, 997, 1115, -1, 1115, 997, 1000, -1, 1115, 1000, 1118, -1,
 1118, 1000, 1002, -1, 1118, 1002, 1120, -1, 1120, 1002, 1004, -1,
 1120, 1004, 1122, -1, 1122, 1004, 1006, -1, 1122, 1006, 1124, -1,
 1124, 1006, 1007, -1, 1124, 1007, 1125, -1, 1125, 1007, 1010, -1,
 1125, 1010, 1128, -1, 1128, 1010, 1012, -1, 1128, 1012, 1130, -1,
 1130, 1012, 1014, -1, 1130, 1014, 1132, -1, 1132, 1014, 1015, -1,
 1132, 1015, 1133, -1, 1133, 1015, 1017, -1, 1133, 1017, 1135, -1,
 1135, 1017, 1019, -1, 1135, 1019, 1137, -1, 1137, 1019, 1021, -1,
 1137, 1021, 1139, -1, 1139, 1021, 1023, -1, 1139, 1023, 1141, -1,
 1141, 1023, 1025, -1, 1141, 1025, 1143, -1, 1143, 1025, 1029, -1,
 1143, 1029, 1147, -1, 1147, 1029, 1031, -1, 1147, 1031, 1149, -1,
 1149, 1031, 1034, -1, 1149, 1034, 1152, -1, 1152, 1034, 1035, -1,
 1152, 1035, 1153, -1, 1153, 1035, 1037, -1, 1153, 1037, 1155, -1,
 1155, 1037, 1040, -1, 1155, 1040, 1158, -1, 1158, 1040, 1042, -1,
 1158, 1042, 1160, -1, 1160, 1042, 1046, -1, 1160, 1046, 1163, -1,
 1163, 1046, 1047, -1, 1163, 1047, 1165, -1, 1165, 1047, 1049, -1,
 1165, 1049, 1167, -1, 1167, 1049, 1051, -1, 1167, 1051, 1169, -1,
 1169, 1051, 1054, -1, 1169, 1054, 1172, -1, 1172, 1054, 1056, -1,
 1172, 1056, 1174, -1, 1174, 1056, 1058, -1, 1174, 1058, 1176, -1,
 1176, 1058, 1061, -1, 1176, 1061, 1178, -1, 1178, 1061, 1063, -1,
 1178, 1063, 1181, -1, 1181, 1063, 1065, -1, 1181, 1065, 1183, -1,
 1183, 1065, 1067, -1, 1183, 1067, 1185, -1, 1185, 1067, 1068, -1,
 1185, 1068, 1186, -1, 1186, 1068, 1070, -1, 1186, 1070, 1188, -1,
 1188, 1070, 1073, -1, 1188, 1073, 1191, -1, 1191, 1073, 1072, -1,
 1191, 1072, 1190, -1, 1190, 1072, 1071, -1, 1190, 1071, 1189, -1,
 1189, 1071, 1069, -1, 1189, 1069, 1187, -1, 1187, 1069, 1066, -1,
 1187, 1066, 1184, -1, 1184, 1066, 1064, -1, 1184, 1064, 1182, -1,
 1182, 1064, 1062, -1, 1182, 1062, 1180, -1, 1180, 1062, 1059, -1,
 1180, 1059, 1177, -1, 1177, 1059, 1057, -1, 1177, 1057, 1175, -1,
 1175, 1057, 1055, -1, 1175, 1055, 1173, -1, 1173, 1055, 1053, -1,
 1173, 1053, 1171, -1, 1171, 1053, 1050, -1, 1171, 1050, 1168, -1,
 1168, 1050, 1048, -1, 1168, 1048, 1166, -1, 1166, 1048, 1044, -1,
 1166, 1044, 1162, -1, 1162, 1044, 1043, -1, 1162, 1043, 1161, -1,
 1161, 1043, 1041, -1, 1161, 1041, 1159, -1, 1159, 1041, 1038, -1,
 1159, 1038, 1156, -1, 1156, 1038, 1036, -1, 1156, 1036, 1154, -1,
 1154, 1036, 1032, -1, 1154, 1032, 1150, -1, 1150, 1032, 1030, -1,
 1150, 1030, 1148, -1, 1148, 1030, 1027, -1, 1148, 1027, 1145, -1,
 1145, 1027, 1026, -1, 1145, 1026, 1144, -1, 1144, 1026, 1024, -1,
 1144, 1024, 1142, -1, 1142, 1024, 1022, -1, 1142, 1022, 1140, -1,
 1140, 1022, 1020, -1, 1140, 1020, 1138, -1, 1138, 1020, 1018, -1,
 1138, 1018, 1136, -1, 1136, 1018, 1016, -1, 1136, 1016, 1134, -1,
 1134, 1016, 1013, -1, 1134, 1013, 1131, -1, 1131, 1013, 1011, -1,
 1131, 1011, 1129, -1, 1129, 1011, 1009, -1, 1129, 1009, 1127, -1,
 1127, 1009, 1008, -1, 1127, 1008, 1126, -1, 1126, 1008, 1005, -1,
 1126, 1005, 1123, -1, 1123, 1005, 1003, -1, 1123, 1003, 1121, -1,
 1121, 1003, 1001, -1, 1121, 1001, 1119, -1, 1119, 1001, 999, -1,
 1119, 999, 1117, -1, 1117, 999, 998, -1, 1117, 998, 1116, -1,
 1116, 998, 996, -1, 1116, 996, 1114, -1, 1114, 996, 994, -1,
 1114, 994, 1112, -1, 1112, 994, 992, -1, 1112, 992, 1110, -1,
 990, 871, 988, -1, 988, 871, 869, -1, 988, 869, 986, -1,
 986, 869, 870, -1, 986, 870, 987, -1, 987, 870, 872, -1,
 987, 872, 989, -1, 989, 872, 874, -1, 989, 874, 991, -1,
 991, 874, 876, -1, 991, 876, 993, -1, 993, 876, 878, -1,
 993, 878, 995, -1, 995, 878, 880, -1, 995, 880, 997, -1,
 997, 880, 883, -1, 997, 883, 1000, -1, 1000, 883, 885, -1,
 1000, 885, 1002, -1, 1002, 885, 887, -1, 1002, 887, 1004, -1,
 1004, 887, 889, -1, 1004, 889, 1006, -1, 1006, 889, 890, -1,
 1006, 890, 1007, -1, 1007, 890, 893, -1, 1007, 893, 1010, -1,
 1010, 893, 895, -1, 1010, 895, 1012, -1, 1012, 895, 897, -1,
 1012, 897, 1014, -1, 1014, 897, 898, -1, 1014, 898, 1015, -1,
 1015, 898, 900, -1, 1015, 900, 1017, -1, 1017, 900, 902, -1,
 1017, 902, 1019, -1, 1019, 902, 904, -1, 1019, 904, 1021, -1,
 1021, 904, 906, -1, 1021, 906, 1023, -1, 1023, 906, 908, -1,
 1023, 908, 1025, -1, 1025, 908, 912, -1, 1025, 912, 1029, -1,
 1029, 912, 914, -1, 1029, 914, 1031, -1, 1031, 914, 917, -1,
 1031, 917, 1034, -1, 1034, 917, 918, -1, 1034, 918, 1035, -1,
 1035, 918, 920, -1, 1035, 920, 1037, -1, 1037, 920, 923, -1,
 1037, 923, 1040, -1, 1040, 923, 925, -1, 1040, 925, 1042, -1,
 1042, 925, 929, -1, 1042, 929, 1046, -1, 1046, 929, 930, -1,
 1046, 930, 1047, -1, 1047, 930, 932, -1, 1047, 932, 1049, -1,
 1049, 932, 935, -1, 1049, 935, 1051, -1, 1051, 935, 937, -1,
 1051, 937, 1054, -1, 1054, 937, 939, -1, 1054, 939, 1056, -1,
 1056, 939, 941, -1, 1056, 941, 1058, -1, 1058, 941, 944, -1,
 1058, 944, 1061, -1, 1061, 944, 946, -1, 1061, 946, 1063, -1,
 1063, 946, 948, -1, 1063, 948, 1065, -1, 1065, 948, 950, -1,
 1065, 950, 1067, -1, 1067, 950, 951, -1, 1067, 951, 1068, -1,
 1068, 951, 953, -1, 1068, 953, 1070, -1, 1070, 953, 956, -1,
 1070, 956, 1073, -1, 1073, 956, 955, -1, 1073, 955, 1072, -1,
 1072, 955, 954, -1, 1072, 954, 1071, -1, 1071, 954, 952, -1,
 1071, 952, 1069, -1, 1069, 952, 949, -1, 1069, 949, 1066, -1,
 1066, 949, 947, -1, 1066, 947, 1064, -1, 1064, 947, 945, -1,
 1064, 945, 1062, -1, 1062, 945, 943, -1, 1062, 943, 1059, -1,
 1059, 943, 940, -1, 1059, 940, 1057, -1, 1057, 940, 938, -1,
 1057, 938, 1055, -1, 1055, 938, 936, -1, 1055, 936, 1053, -1,
 1053, 936, 933, -1, 1053, 933, 1050, -1, 1050, 933, 931, -1,
 1050, 931, 1048, -1, 1048, 931, 928, -1, 1048, 928, 1044, -1,
 1044, 928, 926, -1, 1044, 926, 1043, -1, 1043, 926, 924, -1,
 1043, 924, 1041, -1, 1041, 924, 921, -1, 1041, 921, 1038, -1,
 1038, 921, 919, -1, 1038, 919, 1036, -1, 1036, 919, 915, -1,
 1036, 915, 1032, -1, 1032, 915, 913, -1, 1032, 913, 1030, -1,
 1030, 913, 910, -1, 1030, 910, 1027, -1, 1027, 910, 909, -1,
 1027, 909, 1026, -1, 1026, 909, 907, -1, 1026, 907, 1024, -1,
 1024, 907, 905, -1, 1024, 905, 1022, -1, 1022, 905, 903, -1,
 1022, 903, 1020, -1, 1020, 903, 901, -1, 1020, 901, 1018, -1,
 1018, 901, 899, -1, 1018, 899, 1016, -1, 1016, 899, 896, -1,
 1016, 896, 1013, -1, 1013, 896, 894, -1, 1013, 894, 1011, -1,
 1011, 894, 892, -1, 1011, 892, 1009, -1, 1009, 892, 891, -1,
 1009, 891, 1008, -1, 1008, 891, 888, -1, 1008, 888, 1005, -1,
 1005, 888, 886, -1, 1005, 886, 1003, -1, 1003, 886, 884, -1,
 1003, 884, 1001, -1, 1001, 884, 882, -1, 1001, 882, 999, -1,
 999, 882, 881, -1, 999, 881, 998, -1, 998, 881, 879, -1,
 998, 879, 996, -1, 996, 879, 877, -1, 996, 877, 994, -1,
 994, 877, 875, -1, 994, 875, 992, -1, 873, 754, 871, -1,
 871, 754, 752, -1, 871, 752, 869, -1, 869, 752, 753, -1,
 869, 753, 870, -1, 870, 753, 755, -1, 870, 755, 872, -1,
 872, 755, 757, -1, 872, 757, 874, -1, 874, 757, 759, -1,
 874, 759, 876, -1, 876, 759, 761, -1, 876, 761, 878, -1,
 878, 761, 763, -1, 878, 763, 880, -1, 880, 763, 766, -1,
 880, 766, 883, -1, 883, 766, 768, -1, 883, 768, 885, -1,
 885, 768, 770, -1, 885, 770, 887, -1, 887, 770, 772, -1,
 887, 772, 889, -1, 889, 772, 773, -1, 889, 773, 890, -1,
 890, 773, 776, -1, 890, 776, 893, -1, 893, 776, 778, -1,
 893, 778, 895, -1, 895, 778, 780, -1, 895, 780, 897, -1,
 897, 780, 781, -1, 897, 781, 898, -1, 898, 781, 783, -1,
 898, 783, 900, -1, 900, 783, 785, -1, 900, 785, 902, -1,
 902, 785, 787, -1, 902, 787, 904, -1, 904, 787, 789, -1,
 904, 789, 906, -1, 906, 789, 791, -1, 906, 791, 908, -1,
 908, 791, 795, -1, 908, 795, 912, -1, 912, 795, 797, -1,
 912, 797, 914, -1, 914, 797, 800, -1, 914, 800, 917, -1,
 917, 800, 801, -1, 917, 801, 918, -1, 918, 801, 803, -1,
 918, 803, 920, -1, 920, 803, 806, -1, 920, 806, 923, -1,
 923, 806, 808, -1, 923, 808, 925, -1, 925, 808, 812, -1,
 925, 812, 929, -1, 929, 812, 813, -1, 929, 813, 930, -1,
 930, 813, 815, -1, 930, 815, 932, -1, 932, 815, 818, -1,
 932, 818, 935, -1, 935, 818, 820, -1, 935, 820, 937, -1,
 937, 820, 822, -1, 937, 822, 939, -1, 939, 822, 825, -1,
 939, 825, 941, -1, 941, 825, 827, -1, 941, 827, 944, -1,
 944, 827, 829, -1, 944, 829, 946, -1, 946, 829, 831, -1,
 946, 831, 948, -1, 948, 831, 833, -1, 948, 833, 950, -1,
 950, 833, 834, -1, 950, 834, 951, -1, 951, 834, 837, -1,
 951, 837, 953, -1, 953, 837, 840, -1, 953, 840, 956, -1,
 956, 840, 839, -1, 956, 839, 955, -1, 955, 839, 838, -1,
 955, 838, 954, -1, 954, 838, 835, -1, 954, 835, 952, -1,
 952, 835, 832, -1, 952, 832, 949, -1, 949, 832, 830, -1,
 949, 830, 947, -1, 947, 830, 828, -1, 947, 828, 945, -1,
 945, 828, 826, -1, 945, 826, 943, -1, 943, 826, 823, -1,
 943, 823, 940, -1, 940, 823, 821, -1, 940, 821, 938, -1,
 938, 821, 819, -1, 938, 819, 936, -1, 936, 819, 816, -1,
 936, 816, 933, -1, 933, 816, 814, -1, 933, 814, 931, -1,
 931, 814, 811, -1, 931, 811, 928, -1, 928, 811, 809, -1,
 928, 809, 926, -1, 926, 809, 807, -1, 926, 807, 924, -1,
 924, 807, 804, -1, 924, 804, 921, -1, 921, 804, 802, -1,
 921, 802, 919, -1, 919, 802, 798, -1, 919, 798, 915, -1,
 915, 798, 796, -1, 915, 796, 913, -1, 913, 796, 793, -1,
 913, 793, 910, -1, 910, 793, 792, -1, 910, 792, 909, -1,
 909, 792, 790, -1, 909, 790, 907, -1, 907, 790, 788, -1,
 907, 788, 905, -1, 905, 788, 786, -1, 905, 786, 903, -1,
 903, 786, 784, -1, 903, 784, 901, -1, 901, 784, 782, -1,
 901, 782, 899, -1, 899, 782, 779, -1, 899, 779, 896, -1,
 896, 779, 777, -1, 896, 777, 894, -1, 894, 777, 775, -1,
 894, 775, 892, -1, 892, 775, 774, -1, 892, 774, 891, -1,
 891, 774, 771, -1, 891, 771, 888, -1, 888, 771, 769, -1,
 888, 769, 886, -1, 886, 769, 767, -1, 886, 767, 884, -1,
 884, 767, 765, -1, 884, 765, 882, -1, 882, 765, 764, -1,
 882, 764, 881, -1, 881, 764, 762, -1, 881, 762, 879, -1,
 879, 762, 760, -1, 879, 760, 877, -1, 877, 760, 758, -1,
 877, 758, 875, -1, 1344, 1347, 1224, -1, 1224, 1347, 1226, -1,
 1224, 1226, 1108, -1, 1108, 1226, 1110, -1, 1108, 1110, 990, -1,
 990, 1110, 992, -1, 990, 992, 873, -1, 873, 992, 875, -1,
 873, 875, 756, -1, 756, 875, 758, -1, 756, 758, 620, -1,
 620, 758, 760, -1, 620, 760, 622, -1, 622, 760, 762, -1,
 622, 762, 624, -1, 624, 762, 764, -1, 624, 764, 626, -1,
 626, 764, 765, -1, 626, 765, 627, -1, 627, 765, 767, -1,
 627, 767, 629, -1, 629, 767, 769, -1, 629, 769, 631, -1,
 631, 769, 771, -1, 631, 771, 633, -1, 633, 771, 774, -1,
 633, 774, 636, -1, 636, 774, 775, -1, 636, 775, 637, -1,
 637, 775, 777, -1, 637, 777, 639, -1, 639, 777, 779, -1,
 639, 779, 641, -1, 641, 779, 782, -1, 641, 782, 644, -1,
 644, 782, 784, -1, 644, 784, 646, -1, 646, 784, 786, -1,
 646, 786, 648, -1, 648, 786, 788, -1, 648, 788, 650, -1,
 650, 788, 790, -1, 650, 790, 652, -1, 652, 790, 792, -1,
 652, 792, 654, -1, 654, 792, 793, -1, 654, 793, 655, -1,
 655, 793, 796, -1, 655, 796, 659, -1, 659, 796, 798, -1,
 659, 798, 661, -1, 661, 798, 802, -1, 661, 802, 666, -1,
 666, 802, 804, -1, 666, 804, 668, -1, 668, 804, 807, -1,
 668, 807, 672, -1, 672, 807, 809, -1, 672, 809, 674, -1,
 674, 809, 811, -1, 674, 811, 677, -1, 677, 811, 814, -1,
 677, 814, 680, -1, 680, 814, 816, -1, 680, 816, 684, -1,
 684, 816, 819, -1, 684, 819, 686, -1, 686, 819, 821, -1,
 686, 821, 688, -1, 688, 821, 823, -1, 688, 823, 692, -1,
 692, 823, 826, -1, 692, 826, 694, -1, 694, 826, 828, -1,
 694, 828, 696, -1, 696, 828, 830, -1, 696, 830, 698, -1,
 698, 830, 832, -1, 698, 832, 700, -1, 700, 832, 835, -1,
 700, 835, 705, -1, 705, 835, 838, -1, 705, 838, 707, -1,
 707, 838, 839, -1, 707, 839, 708, -1, 708, 839, 840, -1,
 708, 840, 709, -1, 709, 840, 837, -1, 709, 837, 706, -1,
 706, 837, 834, -1, 706, 834, 704, -1, 704, 834, 833, -1,
 704, 833, 703, -1, 703, 833, 831, -1, 703, 831, 699, -1,
 699, 831, 829, -1, 699, 829, 697, -1, 697, 829, 827, -1,
 697, 827, 695, -1, 695, 827, 825, -1, 695, 825, 693, -1,
 693, 825, 822, -1, 693, 822, 689, -1, 689, 822, 820, -1,
 689, 820, 687, -1, 687, 820, 818, -1, 687, 818, 685, -1,
 685, 818, 815, -1, 685, 815, 681, -1, 681, 815, 813, -1,
 681, 813, 679, -1, 679, 813, 812, -1, 679, 812, 678, -1,
 678, 812, 808, -1, 678, 808, 673, -1, 673, 808, 806, -1,
 673, 806, 671, -1, 671, 806, 803, -1, 671, 803, 667, -1,
 667, 803, 801, -1, 667, 801, 665, -1, 665, 801, 800, -1,
 665, 800, 664, -1, 664, 800, 797, -1, 664, 797, 660, -1,
 660, 797, 795, -1, 660, 795, 658, -1, 658, 795, 791, -1,
 658, 791, 653, -1, 653, 791, 789, -1, 653, 789, 651, -1,
 651, 789, 787, -1, 651, 787, 649, -1, 649, 787, 785, -1,
 649, 785, 647, -1, 647, 785, 783, -1, 647, 783, 645, -1,
 645, 783, 781, -1, 645, 781, 643, -1, 643, 781, 780, -1,
 643, 780, 642, -1, 642, 780, 778, -1, 642, 778, 640, -1,
 640, 778, 776, -1, 640, 776, 638, -1, 638, 776, 773, -1,
 638, 773, 635, -1, 635, 773, 772, -1, 635, 772, 634, -1,
 634, 772, 770, -1, 634, 770, 632, -1, 632, 770, 768, -1,
 632, 768, 630, -1, 630, 768, 766, -1, 630, 766, 628, -1,
 628, 766, 763, -1, 628, 763, 625, -1, 625, 763, 761, -1,
 625, 761, 623, -1, 623, 761, 759, -1, 623, 759, 621, -1,
 621, 759, 757, -1, 621, 757, 619, -1, 619, 757, 617, -1,
 1572, 532, 1565, -1, 1565, 532, 526, -1, 1565, 526, 510, -1,
 1578, 1584, 580, -1, 580, 573, 1578, -1, 1578, 573, 544, -1,
 1578, 544, 1572, -1, 1572, 544, 536, -1, 1572, 536, 532, -1,
 604, 598, 1590, -1, 1590, 598, 592, -1, 1590, 592, 1584, -1,
 1584, 592, 587, -1, 1584, 587, 580, -1, 1590, 1596, 604, -1,
 604, 1596, 1602, -1, 604, 1602, 611, -1, 1684, 1602, 1720, -1,
 2123, 2091, 2071, -1, 2071, 2091, 2055, -1, 2091, 2076, 2055, -1,
 2055, 2076, 2040, -1, 2055, 2040, 2000, -1, 2040, 2017, 2000, -1,
 2000, 2017, 1981, -1, 2000, 1981, 1927, -1, 1981, 1950, 1927, -1,
 1927, 1950, 1912, -1, 1927, 1912, 1838, -1, 1736, 1852, 1708, -1,
 1708, 1852, 1832, -1, 1708, 1832, 1691, -1, 1691, 1832, 1809, -1,
 1691, 1809, 1659, -1, 1659, 1809, 1769, -1, 1659, 1769, 1642, -1,
 1642, 1769, 1714, -1, 1642, 1714, 1626, -1, 1626, 1714, 1648, -1,
 1626, 1648, 1602, -1, 1852, 1945, 1832, -1, 1832, 1945, 1921, -1,
 1832, 1921, 1809, -1, 1809, 1921, 1897, -1, 1809, 1897, 1769, -1,
 1769, 1897, 1858, -1, 1769, 1858, 1714, -1, 1714, 1858, 1775, -1,
 1714, 1775, 1648, -1, 1648, 1775, 1665, -1, 1648, 1665, 1602, -1,
 1565, 1736, 1572, -1, 1572, 1736, 1708, -1, 1572, 1708, 1578, -1,
 1578, 1708, 1691, -1, 1578, 1691, 1584, -1, 1584, 1691, 1659, -1,
 1584, 1659, 1590, -1, 1590, 1659, 1642, -1, 1590, 1642, 1596, -1,
 1596, 1642, 1626, -1, 1596, 1626, 1602, -1, 2012, 2071, 1994, -1,
 1994, 2071, 2055, -1, 1994, 2055, 1966, -1, 1966, 2055, 2000, -1,
 1966, 2000, 1903, -1, 1903, 2000, 1927, -1, 1903, 1927, 1815, -1,
 1815, 1927, 1838, -1, 1815, 1838, 1697, -1, 1697, 1838, 1720, -1,
 1697, 1720, 1602, -1, 1912, 1863, 1838, -1, 1838, 1863, 1803, -1,
 1838, 1803, 1720, -1, 1720, 1803, 1741, -1, 1720, 1741, 1684, -1,
 1945, 2012, 1921, -1, 1921, 2012, 1994, -1, 1921, 1994, 1897, -1,
 1897, 1994, 1966, -1, 1897, 1966, 1858, -1, 1858, 1966, 1903, -1,
 1858, 1903, 1775, -1, 1775, 1903, 1815, -1, 1775, 1815, 1665, -1,
 1665, 1815, 1697, -1, 1665, 1697, 1602, -1, 1606, 1602, 1684, -1,
 1741, 1823, 1684, -1, 1684, 1823, 1681, -1, 1684, 1681, 1606, -1,
 1741, 1803, 1823, -1, 1823, 1803, 1863, -1, 1823, 1863, 1893, -1,
 1893, 1863, 1912, -1, 1893, 1912, 1987, -1, 1912, 1950, 1987, -1,
 1987, 1950, 1981, -1, 1987, 1981, 2046, -1, 1981, 2017, 2046, -1,
 2046, 2017, 2040, -1, 2046, 2040, 2061, -1, 2061, 2040, 2076, -1,
 2061, 2076, 2101, -1, 2091, 2123, 2128, -1, 2128, 2185, 2116, -1,
 2076, 2091, 2101, -1, 2101, 2091, 2128, -1, 2101, 2128, 2110, -1,
 2110, 2128, 2116, -1, 1635, 1601, 1719, -1, 1536, 1545, 1601, -1,
 1558, 1563, 1571, -1, 1577, 1542, 1571, -1, 1571, 1542, 1556, -1,
 1571, 1556, 1558, -1, 1583, 1539, 1577, -1, 1577, 1539, 1540, -1,
 1577, 1540, 1542, -1, 1552, 1524, 1543, -1, 1543, 1524, 1527, -1,
 1543, 1527, 1528, -1, 1518, 1522, 1531, -1, 1533, 1510, 1513, -1,
 2121, 2088, 2070, -1, 2070, 2088, 2054, -1, 2088, 2067, 2054, -1,
 2054, 2067, 2029, -1, 2054, 2029, 1999, -1, 1999, 2029, 1958, -1,
 1999, 1958, 1926, -1, 1926, 1958, 1941, -1, 1926, 1941, 1837, -1,
 1837, 1941, 1879, -1, 1522, 1524, 1531, -1, 1531, 1524, 1552, -1,
 1531, 1552, 1554, -1, 1554, 1552, 1560, -1, 1554, 1560, 1601, -1,
 1528, 1539, 1543, -1, 1543, 1539, 1583, -1, 1543, 1583, 1552, -1,
 1552, 1583, 1589, -1, 1552, 1589, 1560, -1, 1560, 1589, 1595, -1,
 1560, 1595, 1601, -1, 1516, 1518, 1521, -1, 1521, 1518, 1531, -1,
 1521, 1531, 1545, -1, 1545, 1531, 1554, -1, 1545, 1554, 1601, -1,
 1735, 1851, 1707, -1, 1707, 1851, 1831, -1, 1707, 1831, 1690, -1,
 1690, 1831, 1808, -1, 1690, 1808, 1658, -1, 1658, 1808, 1768, -1,
 1658, 1768, 1641, -1, 1641, 1768, 1713, -1, 1641, 1713, 1625, -1,
 1625, 1713, 1647, -1, 1625, 1647, 1601, -1, 1851, 1944, 1831, -1,
 1831, 1944, 1920, -1, 1831, 1920, 1808, -1, 1808, 1920, 1896, -1,
 1808, 1896, 1768, -1, 1768, 1896, 1857, -1, 1768, 1857, 1713, -1,
 1713, 1857, 1774, -1, 1713, 1774, 1647, -1, 1647, 1774, 1664, -1,
 1647, 1664, 1601, -1, 1563, 1735, 1571, -1, 1571, 1735, 1707, -1,
 1571, 1707, 1577, -1, 1577, 1707, 1690, -1, 1577, 1690, 1583, -1,
 1583, 1690, 1658, -1, 1583, 1658, 1589, -1, 1589, 1658, 1641, -1,
 1589, 1641, 1595, -1, 1595, 1641, 1625, -1, 1595, 1625, 1601, -1,
 2011, 2070, 1993, -1, 1993, 2070, 2054, -1, 1993, 2054, 1965, -1,
 1965, 2054, 1999, -1, 1965, 1999, 1902, -1, 1902, 1999, 1926, -1,
 1902, 1926, 1814, -1, 1814, 1926, 1837, -1, 1814, 1837, 1696, -1,
 1696, 1837, 1719, -1, 1696, 1719, 1601, -1, 1505, 1510, 1529, -1,
 1529, 1510, 1533, -1, 1529, 1533, 1548, -1, 1548, 1533, 1601, -1,
 1516, 1521, 1514, -1, 1514, 1521, 1545, -1, 1514, 1545, 1513, -1,
 1513, 1545, 1536, -1, 1513, 1536, 1533, -1, 1533, 1536, 1601, -1,
 1879, 1848, 1837, -1, 1837, 1848, 1757, -1, 1837, 1757, 1719, -1,
 1719, 1757, 1730, -1, 1719, 1730, 1635, -1, 1944, 2011, 1920, -1,
 1920, 2011, 1993, -1, 1920, 1993, 1896, -1, 1896, 1993, 1965, -1,
 1896, 1965, 1857, -1, 1857, 1965, 1902, -1, 1857, 1902, 1774, -1,
 1774, 1902, 1814, -1, 1774, 1814, 1664, -1, 1664, 1814, 1696, -1,
 1664, 1696, 1601, -1, 584, 579, 1528, -1, 1558, 530, 1563, -1,
 1563, 530, 528, -1, 1563, 528, 508, -1, 1556, 542, 1558, -1,
 1558, 542, 540, -1, 1558, 540, 530, -1, 1556, 1542, 542, -1,
 542, 1542, 1540, -1, 542, 1540, 572, -1, 572, 1540, 579, -1,
 579, 1540, 1539, -1, 579, 1539, 1528, -1, 1528, 1527, 584, -1,
 584, 1527, 1524, -1, 584, 1524, 591, -1, 591, 1524, 1522, -1,
 591, 1522, 596, -1, 1522, 1518, 596, -1, 596, 1518, 1516, -1,
 596, 1516, 602, -1, 1516, 1514, 602, -1, 602, 1514, 1513, -1,
 602, 1513, 609, -1, 609, 1513, 1510, -1, 609, 1510, 1505, -1,
 509, 508, 528, -1, 541, 531, 528, -1, 528, 531, 529, -1,
 528, 529, 509, -1, 528, 530, 541, -1, 541, 530, 540, -1,
 541, 540, 543, -1, 543, 540, 542, -1, 543, 542, 576, -1,
 542, 572, 576, -1, 576, 572, 579, -1, 576, 579, 578, -1,
 578, 579, 586, -1, 591, 596, 597, -1, 579, 584, 586, -1,
 586, 584, 591, -1, 586, 591, 590, -1, 590, 591, 597, -1,
 1787, 603, 1789, -1, 1789, 603, 608, -1, 1789, 608, 1792, -1,
 1792, 608, 610, -1, 1792, 610, 1794, -1, 1787, 1786, 603, -1,
 603, 1786, 1764, -1, 603, 1764, 597, -1, 1764, 1763, 597, -1,
 597, 1763, 1761, -1, 597, 1761, 590, -1, 590, 1761, 1752, -1,
 590, 1752, 586, -1, 586, 1752, 1751, -1, 586, 1751, 578, -1,
 1676, 543, 576, -1, 578, 1751, 576, -1, 576, 1751, 1750, -1,
 576, 1750, 1676, -1, 1639, 531, 541, -1, 543, 1676, 541, -1,
 541, 1676, 1675, -1, 541, 1675, 1639, -1, 1564, 509, 529, -1,
 531, 1639, 529, -1, 529, 1639, 1638, -1, 529, 1638, 1564, -1,
 2008, 1985, 1972, -1, 1939, 1916, 1891, -1, 1787, 1789, 1873, -1,
 1881, 1792, 1794, -1, 1787, 1873, 1786, -1, 1763, 1783, 1761, -1,
 1761, 1783, 1828, -1, 1761, 1828, 1752, -1, 1790, 1676, 1755, -1,
 1755, 1676, 1750, -1, 1755, 1750, 1751, -1, 1675, 1677, 1639, -1,
 1639, 1677, 1638, -1, 1794, 1885, 1881, -1, 1881, 1885, 1887, -1,
 1881, 1887, 1962, -1, 1887, 1974, 1962, -1, 1962, 1974, 1976, -1,
 1962, 1976, 2025, -1, 1798, 1677, 1790, -1, 1790, 1677, 1675, -1,
 1790, 1675, 1676, -1, 1789, 1792, 1873, -1, 1873, 1792, 1881, -1,
 1873, 1881, 1935, -1, 1935, 1881, 1962, -1, 1935, 1962, 1990, -1,
 1990, 1962, 2025, -1, 1990, 2025, 2027, -1, 2027, 2025, 2063, -1,
 1564, 1638, 1679, -1, 1679, 1638, 1677, -1, 1679, 1677, 1732, -1,
 1732, 1677, 1798, -1, 1732, 1798, 1800, -1, 1800, 1798, 1846, -1,
 1916, 1846, 1891, -1, 1891, 1846, 1798, -1, 1891, 1798, 1877, -1,
 1877, 1798, 1790, -1, 1877, 1790, 1828, -1, 1828, 1790, 1755, -1,
 1828, 1755, 1752, -1, 1752, 1755, 1751, -1, 1985, 1939, 1972, -1,
 1972, 1939, 1891, -1, 1972, 1891, 1937, -1, 1937, 1891, 1877, -1,
 1937, 1877, 1889, -1, 1889, 1877, 1828, -1, 1889, 1828, 1826, -1,
 1826, 1828, 1783, -1, 2044, 2008, 2027, -1, 2027, 2008, 1972, -1,
 2027, 1972, 1990, -1, 1990, 1972, 1937, -1, 1990, 1937, 1935, -1,
 1935, 1937, 1889, -1, 1935, 1889, 1873, -1, 1873, 1889, 1826, -1,
 1873, 1826, 1786, -1, 1786, 1826, 1783, -1, 1786, 1783, 1764, -1,
 1764, 1783, 1763, -1, 1976, 2033, 2025, -1, 2025, 2033, 2035, -1,
 2025, 2035, 2063, -1, 2063, 2035, 2095, -1, 2063, 2095, 2097, -1,
 2044, 2027, 2065, -1, 2065, 2027, 2063, -1, 2065, 2063, 2099, -1,
 2099, 2063, 2097, -1, 2099, 2097, 2122, -1, 2086, 2106, 2104, -1,
 2104, 2106, 2187, -1, 2187, 2188, 2104, -1, 2104, 2188, 2118, -1,
 2104, 2118, 2108, -1, 2108, 2118, 2112, -1, 2086, 2104, 2049, -1,
 2049, 2104, 2079, -1, 2049, 2079, 2050, -1, 511, 510, 526, -1,
 537, 533, 526, -1, 526, 533, 527, -1, 526, 527, 511, -1,
 526, 532, 537, -1, 537, 532, 536, -1, 537, 536, 545, -1,
 545, 536, 544, -1, 545, 544, 574, -1, 574, 544, 573, -1,
 574, 573, 581, -1, 581, 573, 580, -1, 581, 580, 588, -1,
 592, 598, 599, -1, 580, 587, 588, -1, 588, 587, 592, -1,
 588, 592, 593, -1, 593, 592, 599, -1, 399, 1605, 400, -1,
 400, 1605, 1609, -1, 1399, 1337, 2212, -1, 2212, 1337, 1622, -1,
 2212, 1622, 1688, -1, 1688, 1825, 2212, -1, 2212, 1825, 1918, -1,
 2212, 1918, 1989, -1, 1989, 2048, 2212, -1, 2212, 2048, 2103, -1,
 2212, 2103, 2193, -1, 1399, 2212, 1407, -1, 1407, 2212, 2218, -1,
 1407, 2218, 1413, -1, 1413, 2218, 1418, -1, 1418, 2218, 1425, -1,
 1425, 2218, 2222, -1, 1425, 2222, 1430, -1, 1430, 2222, 2228, -1,
 1430, 2228, 1439, -1, 1475, 1463, 2232, -1, 2232, 1463, 1454, -1,
 2232, 1454, 2228, -1, 2228, 1454, 1442, -1, 2228, 1442, 1439, -1,
 1475, 2232, 1477, -1, 1477, 2232, 2238, -1, 1477, 2238, 1479, -1,
 1479, 2238, 2246, -1, 1479, 2246, 1481, -1, 2253, 1485, 2246, -1,
 2246, 1485, 1483, -1, 2246, 1483, 1481, -1, 2255, 1489, 2253, -1,
 2253, 1489, 1487, -1, 2253, 1487, 1485, -1, 1497, 1495, 2257, -1,
 2257, 1495, 1493, -1, 2257, 1493, 2255, -1, 2255, 1493, 1491, -1,
 2255, 1491, 1489, -1, 1497, 2257, 1499, -1, 1499, 2257, 2259, -1,
 1499, 2259, 1501, -1, 1501, 2259, 1503, -1, 1503, 2259, 2260, -1,
 1503, 2260, 1504, -1, 1607, 1603, 612, -1, 613, 1795, 1797, -1,
 1506, 614, 1508, -1, 2038, 2051, 2052, -1, 2038, 2052, 1979, -1,
 1979, 2052, 2032, -1, 1979, 2032, 1961, -1, 601, 600, 606, -1,
 1961, 1876, 1979, -1, 1979, 1876, 1760, -1, 1979, 1760, 1884, -1,
 1884, 1760, 1634, -1, 1884, 1634, 1797, -1, 1634, 1551, 1797, -1,
 1797, 1551, 1508, -1, 1797, 1508, 613, -1, 613, 1508, 614, -1,
 613, 614, 606, -1, 606, 614, 607, -1, 606, 607, 601, -1,
 14, 6, 15, -1, 15, 6, 7, -1, 442, 450, 552, -1,
 552, 450, 562, -1, 466, 6, 14, -1, 482, 570, 474, -1,
 474, 570, 562, -1, 474, 562, 458, -1, 458, 562, 450, -1,
 14, 414, 466, -1, 466, 414, 418, -1, 466, 418, 490, -1,
 490, 418, 426, -1, 490, 426, 498, -1, 498, 426, 434, -1,
 498, 434, 506, -1, 506, 434, 442, -1, 506, 442, 522, -1,
 522, 442, 552, -1, 562, 570, 563, -1, 563, 570, 571, -1,
 563, 571, 483, -1, 435, 427, 491, -1, 491, 427, 467, -1,
 15, 7, 415, -1, 415, 7, 467, -1, 415, 467, 419, -1,
 419, 467, 427, -1, 483, 475, 563, -1, 563, 475, 459, -1,
 563, 459, 553, -1, 553, 459, 451, -1, 553, 451, 523, -1,
 523, 451, 443, -1, 523, 443, 507, -1, 507, 443, 435, -1,
 507, 435, 499, -1, 499, 435, 491, -1, 467, 7, 466, -1,
 466, 7, 6, -1, 12, 4, 13, -1, 13, 4, 5, -1,
 464, 4, 12, -1, 440, 448, 550, -1, 550, 448, 560, -1,
 480, 568, 472, -1, 472, 568, 560, -1, 472, 560, 456, -1,
 456, 560, 448, -1, 550, 520, 440, -1, 440, 520, 504, -1,
 440, 504, 432, -1, 432, 504, 496, -1, 432, 496, 424, -1,
 424, 496, 488, -1, 424, 488, 416, -1, 416, 488, 464, -1,
 416, 464, 412, -1, 412, 464, 12, -1, 560, 568, 561, -1,
 561, 568, 569, -1, 561, 569, 481, -1, 433, 425, 489, -1,
 489, 425, 465, -1, 13, 5, 413, -1, 413, 5, 465, -1,
 413, 465, 417, -1, 417, 465, 425, -1, 481, 473, 561, -1,
 561, 473, 457, -1, 561, 457, 551, -1, 551, 457, 449, -1,
 551, 449, 521, -1, 521, 449, 441, -1, 521, 441, 505, -1,
 505, 441, 433, -1, 505, 433, 497, -1, 497, 433, 489, -1,
 465, 5, 464, -1, 464, 5, 4, -1, 412, 12, 413, -1,
 413, 12, 13, -1, 473, 481, 472, -1, 472, 481, 480, -1,
 475, 483, 474, -1, 474, 483, 482, -1, 414, 14, 415, -1,
 415, 14, 15, -1, 473, 472, 457, -1, 457, 472, 456, -1,
 457, 456, 449, -1, 449, 456, 448, -1, 449, 448, 441, -1,
 441, 448, 440, -1, 441, 440, 433, -1, 433, 440, 432, -1,
 433, 432, 425, -1, 425, 432, 424, -1, 425, 424, 417, -1,
 417, 424, 416, -1, 417, 416, 413, -1, 413, 416, 412, -1,
 475, 474, 459, -1, 459, 474, 458, -1, 459, 458, 451, -1,
 451, 458, 450, -1, 451, 450, 443, -1, 443, 450, 442, -1,
 443, 442, 435, -1, 435, 442, 434, -1, 435, 434, 427, -1,
 427, 434, 426, -1, 427, 426, 419, -1, 419, 426, 418, -1,
 419, 418, 415, -1, 415, 418, 414, -1, 465, 464, 488, -1,
 465, 488, 489, -1, 489, 488, 496, -1, 489, 496, 497, -1,
 497, 496, 504, -1, 497, 504, 505, -1, 505, 504, 520, -1,
 505, 520, 521, -1, 521, 520, 550, -1, 521, 550, 551, -1,
 551, 550, 560, -1, 551, 560, 561, -1, 467, 466, 490, -1,
 467, 490, 491, -1, 491, 490, 498, -1, 491, 498, 499, -1,
 499, 498, 506, -1, 499, 506, 507, -1, 507, 506, 522, -1,
 507, 522, 523, -1, 523, 522, 552, -1, 523, 552, 553, -1,
 553, 552, 562, -1, 553, 562, 563, -1, 1413, 1418, 1321, -1,
 1425, 1430, 1322, -1, 1442, 1454, 1324, -1, 1463, 1475, 1325, -1,
 1477, 1479, 1326, -1, 1483, 1485, 1328, -1, 1487, 1489, 1329, -1,
 1497, 1499, 1332, -1, 1501, 1503, 1333, -1, 726, 725, 748, -1,
 850, 849, 866, -1, 866, 849, 750, -1, 866, 750, 748, -1,
 748, 750, 749, -1, 748, 749, 726, -1, 984, 967, 983, -1,
 983, 967, 966, -1, 983, 966, 866, -1, 866, 966, 867, -1,
 866, 867, 850, -1, 984, 983, 1083, -1, 1083, 983, 1099, -1,
 1083, 1099, 1100, -1, 1100, 1099, 1101, -1, 1101, 1099, 1216, -1,
 1101, 1216, 1102, -1, 1334, 1317, 1333, -1, 1333, 1317, 1218, -1,
 1333, 1218, 1216, -1, 1216, 1218, 1217, -1, 1216, 1217, 1102, -1,
 1334, 1333, 1335, -1, 1335, 1333, 1503, -1, 1335, 1503, 1504, -1,
 719, 717, 745, -1, 745, 717, 744, -1, 745, 744, 863, -1,
 863, 744, 862, -1, 863, 862, 980, -1, 980, 862, 979, -1,
 980, 979, 1096, -1, 1096, 979, 1095, -1, 1096, 1095, 1213, -1,
 1213, 1095, 1212, -1, 1213, 1212, 1330, -1, 1330, 1212, 1329, -1,
 725, 723, 748, -1, 748, 723, 747, -1, 748, 747, 866, -1,
 866, 747, 865, -1, 866, 865, 983, -1, 983, 865, 982, -1,
 983, 982, 1099, -1, 1099, 982, 1098, -1, 1099, 1098, 1216, -1,
 1216, 1098, 1215, -1, 1216, 1215, 1333, -1, 1333, 1215, 1332, -1,
 1333, 1332, 1501, -1, 1501, 1332, 1499, -1, 1495, 1497, 1331, -1,
 1331, 1497, 1332, -1, 1331, 1332, 1214, -1, 1214, 1332, 1215, -1,
 1214, 1215, 1097, -1, 1097, 1215, 1098, -1, 1097, 1098, 981, -1,
 981, 1098, 982, -1, 981, 982, 864, -1, 864, 982, 865, -1,
 864, 865, 746, -1, 746, 865, 747, -1, 746, 747, 721, -1,
 721, 747, 723, -1, 721, 719, 746, -1, 746, 719, 745, -1,
 746, 745, 864, -1, 864, 745, 863, -1, 864, 863, 981, -1,
 981, 863, 980, -1, 981, 980, 1097, -1, 1097, 980, 1096, -1,
 1097, 1096, 1214, -1, 1214, 1096, 1213, -1, 1214, 1213, 1331, -1,
 1331, 1213, 1330, -1, 1331, 1330, 1495, -1, 1495, 1330, 1493, -1,
 1329, 1489, 1330, -1, 1330, 1489, 1491, -1, 1330, 1491, 1493, -1,
 1485, 1487, 1328, -1, 1328, 1487, 1329, -1, 1328, 1329, 1211, -1,
 1211, 1329, 1212, -1, 1211, 1212, 1094, -1, 1094, 1212, 1095, -1,
 1094, 1095, 978, -1, 978, 1095, 979, -1, 978, 979, 861, -1,
 861, 979, 862, -1, 861, 862, 743, -1, 743, 862, 744, -1,
 743, 744, 715, -1, 715, 744, 717, -1, 1481, 1483, 1327, -1,
 1327, 1483, 1328, -1, 1327, 1328, 1210, -1, 1210, 1328, 1211, -1,
 1210, 1211, 1093, -1, 1093, 1211, 1094, -1, 1093, 1094, 977, -1,
 977, 1094, 978, -1, 977, 978, 860, -1, 860, 978, 861, -1,
 860, 861, 742, -1, 742, 861, 743, -1, 742, 743, 713, -1,
 713, 743, 715, -1, 713, 711, 742, -1, 742, 711, 741, -1,
 742, 741, 860, -1, 860, 741, 859, -1, 860, 859, 977, -1,
 977, 859, 976, -1, 977, 976, 1093, -1, 1093, 976, 1092, -1,
 1093, 1092, 1210, -1, 1210, 1092, 1209, -1, 1210, 1209, 1327, -1,
 1327, 1209, 1326, -1, 1327, 1326, 1481, -1, 1481, 1326, 1479, -1,
 711, 702, 741, -1, 741, 702, 740, -1, 741, 740, 859, -1,
 859, 740, 858, -1, 859, 858, 976, -1, 976, 858, 975, -1,
 976, 975, 1092, -1, 1092, 975, 1091, -1, 1092, 1091, 1209, -1,
 1209, 1091, 1208, -1, 1209, 1208, 1326, -1, 1326, 1208, 1325, -1,
 1326, 1325, 1477, -1, 1477, 1325, 1475, -1, 1454, 1463, 1324, -1,
 1324, 1463, 1325, -1, 1324, 1325, 1207, -1, 1207, 1325, 1208, -1,
 1207, 1208, 1090, -1, 1090, 1208, 1091, -1, 1090, 1091, 974, -1,
 974, 1091, 975, -1, 974, 975, 857, -1, 857, 975, 858, -1,
 857, 858, 739, -1, 739, 858, 740, -1, 739, 740, 691, -1,
 691, 740, 702, -1, 1439, 1442, 1323, -1, 1323, 1442, 1324, -1,
 1323, 1324, 1206, -1, 1206, 1324, 1207, -1, 1206, 1207, 1089, -1,
 1089, 1207, 1090, -1, 1089, 1090, 973, -1, 973, 1090, 974, -1,
 973, 974, 856, -1, 856, 974, 857, -1, 856, 857, 738, -1,
 738, 857, 739, -1, 738, 739, 683, -1, 683, 739, 691, -1,
 683, 676, 738, -1, 738, 676, 737, -1, 738, 737, 856, -1,
 856, 737, 855, -1, 856, 855, 973, -1, 973, 855, 972, -1,
 973, 972, 1089, -1, 1089, 972, 1088, -1, 1089, 1088, 1206, -1,
 1206, 1088, 1205, -1, 1206, 1205, 1323, -1, 1323, 1205, 1322, -1,
 1323, 1322, 1439, -1, 1439, 1322, 1430, -1, 676, 670, 737, -1,
 737, 670, 736, -1, 737, 736, 855, -1, 855, 736, 854, -1,
 855, 854, 972, -1, 972, 854, 971, -1, 972, 971, 1088, -1,
 1088, 971, 1087, -1, 1088, 1087, 1205, -1, 1205, 1087, 1204, -1,
 1205, 1204, 1322, -1, 1322, 1204, 1321, -1, 1322, 1321, 1425, -1,
 1425, 1321, 1418, -1, 1407, 1413, 1320, -1, 1320, 1413, 1321, -1,
 1320, 1321, 1203, -1, 1203, 1321, 1204, -1, 1203, 1204, 1086, -1,
 1086, 1204, 1087, -1, 1086, 1087, 970, -1, 970, 1087, 971, -1,
 970, 971, 853, -1, 853, 971, 854, -1, 853, 854, 735, -1,
 735, 854, 736, -1, 735, 736, 663, -1, 663, 736, 670, -1,
 663, 657, 735, -1, 735, 657, 734, -1, 735, 734, 853, -1,
 853, 734, 852, -1, 853, 852, 970, -1, 970, 852, 969, -1,
 970, 969, 1086, -1, 1086, 969, 1085, -1, 1086, 1085, 1203, -1,
 1203, 1085, 1202, -1, 1203, 1202, 1320, -1, 1320, 1202, 1319, -1,
 1320, 1319, 1407, -1, 1407, 1319, 1399, -1, 1337, 1399, 1319, -1,
 1337, 1319, 1318, -1, 1318, 1319, 1202, -1, 1318, 1202, 1201, -1,
 1201, 1202, 1085, -1, 1201, 1085, 1084, -1, 1084, 1085, 969, -1,
 1084, 969, 968, -1, 968, 969, 852, -1, 968, 852, 851, -1,
 851, 852, 734, -1, 851, 734, 733, -1, 733, 734, 657, -1,
 733, 657, 618, -1, 2125, 2100, 2124, -1, 2124, 2100, 2072, -1,
 2100, 2066, 2072, -1, 2072, 2066, 2045, -1, 2072, 2045, 2013, -1,
 2045, 2009, 2013, -1, 2013, 2009, 1986, -1, 2013, 1986, 1946, -1,
 1986, 1940, 1946, -1, 1946, 1940, 1917, -1, 1946, 1917, 1853, -1,
 1917, 1847, 1853, -1, 1853, 1847, 1801, -1, 1853, 1801, 1737, -1,
 1567, 1566, 1680, -1, 1680, 1566, 1737, -1, 1680, 1737, 1733, -1,
 1733, 1737, 1801, -1, 1884, 1797, 1795, -1, 1795, 1886, 1884, -1,
 1884, 1886, 1888, -1, 1884, 1888, 1979, -1, 1888, 1975, 1979, -1,
 1979, 1975, 1977, -1, 1979, 1977, 2038, -1, 1977, 2034, 2038, -1,
 2038, 2034, 2036, -1, 2038, 2036, 2051, -1, 2051, 2036, 2096, -1,
 2051, 2096, 2080, -1, 2080, 2096, 2098, -1, 2080, 2098, 2125, -1,
 2125, 2184, 2080, -1, 2080, 2184, 2115, -1, 2080, 2115, 2105, -1,
 2105, 2115, 2109, -1, 1623, 407, 405, -1, 1623, 405, 1619, -1,
 1619, 405, 404, -1, 1619, 404, 1617, -1, 1617, 404, 403, -1,
 1617, 403, 1615, -1, 1615, 403, 402, -1, 1615, 402, 1613, -1,
 1613, 402, 401, -1, 1613, 401, 1611, -1, 1611, 401, 400, -1,
 1611, 400, 1609, -1, 2193, 2103, 2194, -1, 2194, 2103, 2094, -1,
 2094, 2103, 2085, -1, 2085, 2103, 2048, -1, 2085, 2048, 2043, -1,
 2043, 2048, 2024, -1, 2024, 2048, 1989, -1, 2024, 1989, 1984, -1,
 1984, 1989, 1957, -1, 1957, 1989, 1918, -1, 1957, 1918, 1915, -1,
 1915, 1918, 1872, -1, 1872, 1918, 1825, -1, 1872, 1825, 1806, -1,
 1806, 1825, 1748, -1, 1748, 1825, 1688, -1, 1748, 1688, 1687, -1,
 1687, 1688, 1622, -1, 1687, 1622, 1623, -1, 2094, 2085, 2060, -1,
 2043, 2024, 2007, -1, 1984, 1957, 1934, -1, 1915, 1872, 1845, -1,
 1806, 1748, 1729, -1, 1687, 1623, 1619, -1, 1748, 1687, 1729, -1,
 1729, 1687, 1619, -1, 1729, 1619, 1704, -1, 1704, 1619, 1617, -1,
 1704, 1617, 1672, -1, 1672, 1617, 1615, -1, 1672, 1615, 1655, -1,
 1655, 1615, 1613, -1, 1655, 1613, 1631, -1, 1631, 1613, 1611, -1,
 1631, 1611, 1609, -1, 1872, 1806, 1845, -1, 1845, 1806, 1729, -1,
 1845, 1729, 1822, -1, 1822, 1729, 1704, -1, 1822, 1704, 1782, -1,
 1782, 1704, 1672, -1, 1782, 1672, 1727, -1, 1727, 1672, 1655, -1,
 1727, 1655, 1653, -1, 1653, 1655, 1631, -1, 1653, 1631, 1609, -1,
 1957, 1915, 1934, -1, 1934, 1915, 1845, -1, 1934, 1845, 1910, -1,
 1910, 1845, 1822, -1, 1910, 1822, 1869, -1, 1869, 1822, 1782, -1,
 1869, 1782, 1780, -1, 1780, 1782, 1727, -1, 1780, 1727, 1670, -1,
 1670, 1727, 1653, -1, 1670, 1653, 1609, -1, 2024, 1984, 2007, -1,
 2007, 1984, 1934, -1, 2007, 1934, 1971, -1, 1971, 1934, 1910, -1,
 1971, 1910, 1908, -1, 1908, 1910, 1869, -1, 1908, 1869, 1820, -1,
 1820, 1869, 1780, -1, 1820, 1780, 1702, -1, 1702, 1780, 1670, -1,
 1702, 1670, 1609, -1, 2085, 2043, 2060, -1, 2060, 2043, 2007, -1,
 2060, 2007, 2005, -1, 2005, 2007, 1971, -1, 2005, 1971, 1932, -1,
 1932, 1971, 1908, -1, 1932, 1908, 1843, -1, 1843, 1908, 1820, -1,
 1843, 1820, 1725, -1, 1725, 1820, 1702, -1, 1725, 1702, 1609, -1,
 2194, 2094, 2082, -1, 2082, 2094, 2060, -1, 2082, 2060, 2021, -1,
 2021, 2060, 2005, -1, 2021, 2005, 1954, -1, 1954, 2005, 1932, -1,
 1954, 1932, 1867, -1, 1867, 1932, 1843, -1, 1867, 1843, 1745, -1,
 1745, 1843, 1725, -1, 1745, 1725, 1609, -1, 393, 1569, 1575, -1,
 393, 1575, 394, -1, 394, 1575, 1581, -1, 394, 1581, 395, -1,
 395, 1581, 1587, -1, 395, 1587, 396, -1, 396, 1587, 1593, -1,
 396, 1593, 397, -1, 397, 1593, 1599, -1, 397, 1599, 398, -1,
 398, 1599, 1605, -1, 398, 1605, 399, -1, 2127, 2194, 2082, -1,
 2127, 2082, 2078, -1, 2078, 2082, 2021, -1, 2078, 2021, 2019, -1,
 2019, 2021, 1954, -1, 2019, 1954, 1952, -1, 1952, 1954, 1867, -1,
 1952, 1867, 1865, -1, 1865, 1867, 1745, -1, 1865, 1745, 1743, -1,
 1743, 1745, 1609, -1, 1743, 1609, 1605, -1, 2127, 2078, 2058, -1,
 1818, 1700, 1668, -1, 1605, 1599, 1629, -1, 1668, 1700, 1605, -1,
 1723, 1605, 1700, -1, 1723, 1700, 1841, -1, 1841, 1700, 1818, -1,
 1841, 1818, 1930, -1, 1743, 1605, 1723, -1, 1778, 1651, 1717, -1,
 1717, 1651, 1629, -1, 1717, 1629, 1645, -1, 1645, 1629, 1599, -1,
 1645, 1599, 1593, -1, 1743, 1723, 1865, -1, 1865, 1723, 1841, -1,
 1865, 1841, 1952, -1, 1952, 1841, 1930, -1, 1952, 1930, 2019, -1,
 1906, 1778, 1861, -1, 1861, 1778, 1717, -1, 1861, 1717, 1772, -1,
 1772, 1717, 1645, -1, 1772, 1645, 1662, -1, 1662, 1645, 1593, -1,
 1662, 1593, 1587, -1, 2003, 1906, 1969, -1, 1969, 1906, 1861, -1,
 1969, 1861, 1900, -1, 1900, 1861, 1772, -1, 1900, 1772, 1812, -1,
 1812, 1772, 1662, -1, 1812, 1662, 1694, -1, 1694, 1662, 1587, -1,
 1694, 1587, 1581, -1, 2078, 2003, 2058, -1, 2058, 2003, 1969, -1,
 2058, 1969, 1997, -1, 1997, 1969, 1900, -1, 1997, 1900, 1924, -1,
 1924, 1900, 1812, -1, 1924, 1812, 1835, -1, 1835, 1812, 1694, -1,
 1835, 1694, 1711, -1, 1711, 1694, 1581, -1, 1711, 1581, 1575, -1,
 2127, 2058, 2074, -1, 2074, 2058, 1997, -1, 2074, 1997, 2015, -1,
 2015, 1997, 1924, -1, 2015, 1924, 1948, -1, 1948, 1924, 1835, -1,
 1948, 1835, 1855, -1, 1855, 1835, 1711, -1, 1855, 1711, 1739, -1,
 1739, 1711, 1575, -1, 1739, 1575, 1569, -1, 1651, 1605, 1629, -1,
 2078, 2019, 2003, -1, 2003, 2019, 1930, -1, 2003, 1930, 1906, -1,
 1906, 1930, 1818, -1, 1906, 1818, 1778, -1, 1778, 1818, 1668, -1,
 1778, 1668, 1651, -1, 1651, 1668, 1605, -1, 2126, 2127, 2074, -1,
 2126, 2074, 2073, -1, 2073, 2074, 2015, -1, 2073, 2015, 2014, -1,
 2014, 2015, 1948, -1, 2014, 1948, 1947, -1, 1947, 1948, 1855, -1,
 1947, 1855, 1854, -1, 1854, 1855, 1739, -1, 1854, 1739, 1738, -1,
 1738, 1739, 1569, -1, 1738, 1569, 1568, -1, 2089, 2068, 2032, -1,
 2032, 2052, 2089, -1, 2089, 2052, 2087, -1, 2089, 2087, 2126, -1,
 2126, 2087, 2107, -1, 2126, 2107, 2190, -1, 2068, 2030, 2032, -1,
 2032, 2030, 1959, -1, 2032, 1959, 1961, -1, 1961, 1959, 1876, -1,
 1959, 1942, 1876, -1, 1876, 1942, 1880, -1, 1876, 1880, 1760, -1,
 1760, 1880, 1849, -1, 1849, 1758, 1760, -1, 1760, 1758, 1731, -1,
 1760, 1731, 1634, -1, 1731, 1636, 1634, -1, 1634, 1636, 1604, -1,
 1634, 1604, 1551, -1, 1506, 1508, 1530, -1, 1530, 1508, 1551, -1,
 1530, 1551, 1549, -1, 1549, 1551, 1604, -1, 1603, 1597, 612, -1,
 612, 1597, 605, -1, 605, 1597, 599, -1, 599, 1597, 1591, -1,
 599, 1591, 593, -1, 593, 1591, 588, -1, 588, 1591, 1585, -1,
 588, 1585, 581, -1, 581, 1585, 574, -1, 574, 1585, 1579, -1,
 574, 1579, 545, -1, 545, 1579, 537, -1, 537, 1579, 1573, -1,
 537, 1573, 533, -1, 533, 1573, 527, -1, 527, 1573, 1566, -1,
 527, 1566, 511, -1, 1666, 1649, 1603, -1, 1804, 1864, 1839, -1,
 1913, 1951, 1928, -1, 1709, 1737, 1566, -1, 1922, 1946, 1853, -1,
 2124, 2072, 2092, -1, 2092, 2072, 2056, -1, 2092, 2056, 2077, -1,
 2013, 1946, 1995, -1, 1995, 1946, 1922, -1, 1995, 1922, 1967, -1,
 2077, 2056, 2041, -1, 2041, 2056, 2001, -1, 2041, 2001, 2018, -1,
 2072, 2013, 2056, -1, 2056, 2013, 1995, -1, 2056, 1995, 2001, -1,
 2001, 1995, 1967, -1, 2001, 1967, 1928, -1, 1928, 1951, 2001, -1,
 2001, 1951, 1982, -1, 2001, 1982, 2018, -1, 1579, 1585, 1660, -1,
 1864, 1913, 1839, -1, 1839, 1913, 1928, -1, 1839, 1928, 1904, -1,
 1904, 1928, 1967, -1, 1904, 1967, 1898, -1, 1898, 1967, 1922, -1,
 1898, 1922, 1833, -1, 1833, 1922, 1853, -1, 1833, 1853, 1737, -1,
 1660, 1643, 1715, -1, 1737, 1709, 1833, -1, 1833, 1709, 1810, -1,
 1833, 1810, 1898, -1, 1898, 1810, 1859, -1, 1898, 1859, 1904, -1,
 1904, 1859, 1816, -1, 1904, 1816, 1839, -1, 1839, 1816, 1721, -1,
 1839, 1721, 1804, -1, 1649, 1666, 1715, -1, 1715, 1643, 1649, -1,
 1649, 1643, 1627, -1, 1649, 1627, 1603, -1, 1660, 1585, 1643, -1,
 1643, 1585, 1591, -1, 1643, 1591, 1627, -1, 1627, 1591, 1597, -1,
 1627, 1597, 1603, -1, 1603, 1685, 1721, -1, 1721, 1685, 1742, -1,
 1721, 1742, 1804, -1, 1566, 1573, 1709, -1, 1709, 1573, 1692, -1,
 1709, 1692, 1810, -1, 1810, 1692, 1770, -1, 1810, 1770, 1859, -1,
 1859, 1770, 1776, -1, 1859, 1776, 1816, -1, 1816, 1776, 1698, -1,
 1816, 1698, 1721, -1, 1721, 1698, 1603, -1, 1573, 1579, 1692, -1,
 1692, 1579, 1660, -1, 1692, 1660, 1770, -1, 1770, 1660, 1715, -1,
 1770, 1715, 1776, -1, 1776, 1715, 1666, -1, 1776, 1666, 1698, -1,
 1698, 1666, 1603, -1, 2129, 2124, 2092, -1, 2117, 2186, 2129, -1,
 2092, 2077, 2047, -1, 2047, 2062, 2092, -1, 2092, 2062, 2102, -1,
 2092, 2102, 2129, -1, 2129, 2102, 2111, -1, 2129, 2111, 2117, -1,
 2077, 2041, 2047, -1, 2047, 2041, 2018, -1, 2047, 2018, 1988, -1,
 2018, 1982, 1988, -1, 1988, 1982, 1951, -1, 1988, 1951, 1894, -1,
 1894, 1951, 1913, -1, 1894, 1913, 1824, -1, 1913, 1864, 1824, -1,
 1824, 1864, 1804, -1, 1824, 1804, 1682, -1, 1682, 1804, 1742, -1,
 1742, 1685, 1682, -1, 1682, 1685, 1603, -1, 1682, 1603, 1607, -1,
 1537, 1534, 1604, -1, 1667, 1650, 1604, -1, 1710, 1738, 1568, -1,
 1525, 1523, 1532, -1, 1512, 1511, 1537, -1, 1537, 1511, 1509, -1,
 1537, 1509, 1534, -1, 1534, 1509, 1506, -1, 1534, 1506, 1530, -1,
 1519, 1517, 1520, -1, 1520, 1517, 1515, -1, 1520, 1515, 1546, -1,
 1538, 1535, 1544, -1, 1544, 1535, 1526, -1, 1544, 1526, 1553, -1,
 1557, 1574, 1559, -1, 1559, 1574, 1568, -1, 1854, 1738, 1834, -1,
 1834, 1738, 1710, -1, 1834, 1710, 1811, -1, 2126, 2073, 2089, -1,
 2089, 2073, 2057, -1, 2089, 2057, 2068, -1, 2068, 2057, 2002, -1,
 2068, 2002, 2030, -1, 1947, 1854, 1923, -1, 1923, 1854, 1834, -1,
 1923, 1834, 1899, -1, 1899, 1834, 1811, -1, 1899, 1811, 1860, -1,
 2030, 2002, 1959, -1, 1959, 2002, 1929, -1, 1959, 1929, 1942, -1,
 2014, 1947, 1996, -1, 1996, 1947, 1923, -1, 1996, 1923, 1968, -1,
 1968, 1923, 1899, -1, 1968, 1899, 1905, -1, 1905, 1899, 1860, -1,
 1905, 1860, 1817, -1, 1580, 1586, 1661, -1, 1942, 1929, 1880, -1,
 1880, 1929, 1840, -1, 1880, 1840, 1849, -1, 2073, 2014, 2057, -1,
 2057, 2014, 1996, -1, 2057, 1996, 2002, -1, 2002, 1996, 1968, -1,
 2002, 1968, 1929, -1, 1929, 1968, 1905, -1, 1929, 1905, 1840, -1,
 1840, 1905, 1817, -1, 1840, 1817, 1722, -1, 1661, 1644, 1716, -1,
 1650, 1667, 1716, -1, 1716, 1644, 1650, -1, 1650, 1644, 1628, -1,
 1650, 1628, 1604, -1, 1661, 1586, 1644, -1, 1644, 1586, 1592, -1,
 1644, 1592, 1628, -1, 1628, 1592, 1598, -1, 1628, 1598, 1604, -1,
 1526, 1525, 1553, -1, 1553, 1525, 1532, -1, 1553, 1532, 1561, -1,
 1561, 1532, 1555, -1, 1561, 1555, 1604, -1, 1523, 1519, 1532, -1,
 1532, 1519, 1520, -1, 1532, 1520, 1555, -1, 1555, 1520, 1546, -1,
 1555, 1546, 1604, -1, 1547, 1541, 1580, -1, 1580, 1541, 1538, -1,
 1580, 1538, 1586, -1, 1586, 1538, 1544, -1, 1586, 1544, 1592, -1,
 1592, 1544, 1553, -1, 1592, 1553, 1598, -1, 1598, 1553, 1561, -1,
 1598, 1561, 1604, -1, 1604, 1636, 1722, -1, 1722, 1636, 1731, -1,
 1722, 1731, 1840, -1, 1840, 1731, 1758, -1, 1840, 1758, 1849, -1,
 1568, 1574, 1710, -1, 1710, 1574, 1693, -1, 1710, 1693, 1811, -1,
 1811, 1693, 1771, -1, 1811, 1771, 1860, -1, 1860, 1771, 1777, -1,
 1860, 1777, 1817, -1, 1817, 1777, 1699, -1, 1817, 1699, 1722, -1,
 1722, 1699, 1604, -1, 1557, 1547, 1574, -1, 1574, 1547, 1580, -1,
 1574, 1580, 1693, -1, 1693, 1580, 1661, -1, 1693, 1661, 1771, -1,
 1771, 1661, 1716, -1, 1771, 1716, 1777, -1, 1777, 1716, 1667, -1,
 1777, 1667, 1699, -1, 1699, 1667, 1604, -1, 1530, 1549, 1534, -1,
 1534, 1549, 1604, -1, 1515, 1512, 1546, -1, 1546, 1512, 1537, -1,
 1546, 1537, 1604, -1, 1511, 607, 1509, -1, 1509, 607, 614, -1,
 1509, 614, 1506, -1, 1511, 1512, 607, -1, 607, 1512, 1515, -1,
 607, 1515, 601, -1, 1515, 1517, 601, -1, 601, 1517, 1519, -1,
 601, 1519, 595, -1, 595, 1519, 585, -1, 1519, 1523, 585, -1,
 585, 1523, 1525, -1, 585, 1525, 583, -1, 583, 1525, 575, -1,
 1525, 1526, 575, -1, 575, 1526, 1535, -1, 575, 1535, 555, -1,
 555, 1535, 1538, -1, 555, 1538, 539, -1, 539, 1538, 1541, -1,
 539, 1541, 535, -1, 535, 1541, 1547, -1, 535, 1547, 524, -1,
 524, 1547, 1557, -1, 524, 1557, 514, -1, 1557, 1559, 514, -1,
 514, 1559, 1568, -1, 514, 1568, 513, -1, 513, 512, 515, -1,
 600, 601, 594, -1, 594, 601, 595, -1, 594, 595, 589, -1,
 589, 595, 585, -1, 589, 585, 582, -1, 582, 585, 583, -1,
 582, 583, 577, -1, 577, 583, 575, -1, 577, 575, 554, -1,
 554, 575, 555, -1, 554, 555, 538, -1, 538, 555, 539, -1,
 538, 539, 534, -1, 534, 539, 535, -1, 534, 535, 525, -1,
 525, 535, 524, -1, 525, 524, 515, -1, 515, 524, 514, -1,
 515, 514, 513, -1, 1567, 1632, 512, -1, 512, 1632, 515, -1,
 515, 1632, 525, -1, 525, 1632, 1637, -1, 525, 1637, 534, -1,
 534, 1637, 1656, -1, 534, 1656, 538, -1, 538, 1656, 1673, -1,
 538, 1673, 554, -1, 1673, 1674, 554, -1, 554, 1674, 1705, -1,
 554, 1705, 577, -1, 577, 1705, 1749, -1, 577, 1749, 582, -1,
 1749, 1753, 582, -1, 582, 1753, 1754, -1, 582, 1754, 589, -1,
 589, 1754, 1762, -1, 589, 1762, 594, -1, 1762, 1765, 594, -1,
 594, 1765, 1766, -1, 594, 1766, 600, -1, 600, 1766, 1785, -1,
 600, 1785, 606, -1, 1795, 613, 1793, -1, 1793, 613, 606, -1,
 1793, 606, 1788, -1, 1788, 606, 1785, -1, 1847, 1917, 1892, -1,
 1940, 1986, 1973, -1, 2009, 2045, 2028, -1, 2066, 2100, 2064, -1,
 1656, 1637, 1678, -1, 1632, 1567, 1680, -1, 1791, 1674, 1673, -1,
 1656, 1678, 1673, -1, 1673, 1678, 1799, -1, 1673, 1799, 1791, -1,
 1754, 1753, 1756, -1, 1756, 1753, 1749, -1, 1756, 1749, 1791, -1,
 1791, 1749, 1705, -1, 1791, 1705, 1674, -1, 1766, 1765, 1784, -1,
 1784, 1765, 1762, -1, 1784, 1762, 1829, -1, 1795, 1793, 1886, -1,
 1886, 1793, 1882, -1, 1886, 1882, 1888, -1, 1888, 1882, 1963, -1,
 1888, 1963, 1975, -1, 1975, 1963, 1977, -1, 1977, 1963, 2026, -1,
 1977, 2026, 2034, -1, 2034, 2026, 2036, -1, 2036, 2026, 2064, -1,
 2036, 2064, 2096, -1, 2096, 2064, 2098, -1, 2098, 2064, 2100, -1,
 2098, 2100, 2125, -1, 2045, 2066, 2028, -1, 2028, 2066, 2064, -1,
 2028, 2064, 1991, -1, 1991, 2064, 2026, -1, 1991, 2026, 1936, -1,
 1936, 2026, 1963, -1, 1936, 1963, 1874, -1, 1874, 1963, 1882, -1,
 1874, 1882, 1788, -1, 1788, 1882, 1793, -1, 1986, 2009, 1973, -1,
 1973, 2009, 2028, -1, 1973, 2028, 1938, -1, 1938, 2028, 1991, -1,
 1938, 1991, 1890, -1, 1890, 1991, 1936, -1, 1890, 1936, 1827, -1,
 1827, 1936, 1874, -1, 1827, 1874, 1785, -1, 1785, 1874, 1788, -1,
 1917, 1940, 1892, -1, 1892, 1940, 1973, -1, 1892, 1973, 1878, -1,
 1878, 1973, 1938, -1, 1878, 1938, 1829, -1, 1829, 1938, 1890, -1,
 1829, 1890, 1784, -1, 1784, 1890, 1827, -1, 1784, 1827, 1766, -1,
 1766, 1827, 1785, -1, 1801, 1847, 1799, -1, 1799, 1847, 1892, -1,
 1799, 1892, 1791, -1, 1791, 1892, 1878, -1, 1791, 1878, 1756, -1,
 1756, 1878, 1829, -1, 1756, 1829, 1754, -1, 1754, 1829, 1762, -1,
 1801, 1799, 1733, -1, 1733, 1799, 1678, -1, 1733, 1678, 1680, -1,
 1680, 1678, 1637, -1, 1680, 1637, 1632, -1, 2105, 2107, 2087, -1,
 2052, 2051, 2087, -1, 2087, 2051, 2080, -1, 2087, 2080, 2105, -1,
 2190, 2107, 2189, -1, 2189, 2107, 2105, -1, 2189, 2105, 2119, -1,
 2119, 2105, 2109, -1, 2119, 2109, 2113, -1, 201, 175, 200, -1,
 200, 175, 173, -1, 273, 271, 274, -1, 274, 271, 272, -1,
 21, 33, 29, -1, 29, 33, 41, -1, 29, 41, 43, -1,
 43, 41, 49, -1, 43, 49, 63, -1, 63, 49, 71, -1,
 63, 71, 91, -1, 91, 71, 99, -1, 91, 99, 125, -1,
 125, 99, 135, -1, 125, 135, 173, -1, 33, 53, 41, -1,
 41, 53, 61, -1, 41, 61, 49, -1, 49, 61, 69, -1,
 49, 69, 71, -1, 71, 69, 79, -1, 71, 79, 99, -1,
 99, 79, 107, -1, 99, 107, 135, -1, 135, 107, 143, -1,
 135, 143, 173, -1, 17, 21, 23, -1, 23, 21, 29, -1,
 23, 29, 35, -1, 35, 29, 43, -1, 35, 43, 55, -1,
 55, 43, 63, -1, 55, 63, 81, -1, 81, 63, 91, -1,
 81, 91, 115, -1, 115, 91, 125, -1, 115, 125, 173, -1,
 77, 113, 89, -1, 89, 113, 121, -1, 89, 121, 97, -1,
 97, 121, 133, -1, 97, 133, 105, -1, 105, 133, 141, -1,
 105, 141, 123, -1, 123, 141, 149, -1, 123, 149, 151, -1,
 151, 149, 157, -1, 151, 157, 173, -1, 113, 161, 121, -1,
 121, 161, 163, -1, 121, 163, 133, -1, 133, 163, 165, -1,
 133, 165, 141, -1, 141, 165, 167, -1, 141, 167, 149, -1,
 149, 167, 169, -1, 149, 169, 157, -1, 157, 169, 171, -1,
 157, 171, 173, -1, 53, 77, 61, -1, 61, 77, 89, -1,
 61, 89, 69, -1, 69, 89, 97, -1, 69, 97, 79, -1,
 79, 97, 105, -1, 79, 105, 107, -1, 107, 105, 123, -1,
 107, 123, 143, -1, 143, 123, 151, -1, 143, 151, 173, -1,
 200, 173, 171, -1, 200, 171, 199, -1, 199, 171, 169, -1,
 199, 169, 198, -1, 198, 169, 167, -1, 198, 167, 197, -1,
 197, 167, 165, -1, 197, 165, 196, -1, 196, 165, 163, -1,
 196, 163, 195, -1, 195, 163, 161, -1, 195, 161, 194, -1,
 173, 175, 117, -1, 173, 117, 115, -1, 115, 117, 83, -1,
 115, 83, 81, -1, 81, 83, 57, -1, 81, 57, 55, -1,
 55, 57, 37, -1, 55, 37, 35, -1, 35, 37, 25, -1,
 35, 25, 23, -1, 23, 25, 19, -1, 23, 19, 17, -1,
 271, 276, 272, -1, 272, 276, 277, -1, 277, 276, 279, -1,
 279, 276, 278, -1, 279, 278, 291, -1, 291, 278, 290, -1,
 291, 290, 295, -1, 295, 290, 294, -1, 295, 294, 305, -1,
 305, 294, 304, -1, 305, 304, 313, -1, 313, 304, 312, -1,
 313, 312, 325, -1, 325, 312, 324, -1, 325, 324, 335, -1,
 335, 324, 334, -1, 335, 334, 353, -1, 353, 334, 352, -1,
 353, 352, 363, -1, 363, 352, 362, -1, 363, 362, 379, -1,
 362, 378, 379, -1, 379, 378, 392, -1, 379, 392, 393, -1,
 214, 200, 199, -1, 226, 216, 218, -1, 238, 230, 232, -1,
 248, 242, 244, -1, 256, 252, 258, -1, 264, 262, 268, -1,
 271, 264, 276, -1, 276, 264, 268, -1, 276, 268, 278, -1,
 278, 268, 290, -1, 290, 268, 288, -1, 290, 288, 294, -1,
 294, 288, 304, -1, 304, 288, 308, -1, 304, 308, 312, -1,
 312, 308, 324, -1, 324, 308, 332, -1, 324, 332, 334, -1,
 334, 332, 352, -1, 352, 332, 358, -1, 352, 358, 362, -1,
 362, 358, 378, -1, 378, 358, 388, -1, 378, 388, 392, -1,
 262, 256, 268, -1, 268, 256, 258, -1, 268, 258, 288, -1,
 288, 258, 266, -1, 288, 266, 308, -1, 308, 266, 292, -1,
 308, 292, 332, -1, 332, 292, 318, -1, 332, 318, 358, -1,
 358, 318, 342, -1, 358, 342, 388, -1, 388, 342, 360, -1,
 252, 248, 258, -1, 258, 248, 244, -1, 258, 244, 266, -1,
 266, 244, 250, -1, 266, 250, 292, -1, 292, 250, 260, -1,
 292, 260, 318, -1, 318, 260, 284, -1, 318, 284, 342, -1,
 342, 284, 306, -1, 342, 306, 360, -1, 360, 306, 330, -1,
 242, 238, 244, -1, 244, 238, 232, -1, 244, 232, 250, -1,
 250, 232, 236, -1, 250, 236, 260, -1, 260, 236, 240, -1,
 260, 240, 284, -1, 284, 240, 246, -1, 284, 246, 306, -1,
 306, 246, 254, -1, 306, 254, 330, -1, 330, 254, 270, -1,
 230, 226, 232, -1, 232, 226, 218, -1, 232, 218, 236, -1,
 236, 218, 220, -1, 236, 220, 240, -1, 240, 220, 222, -1,
 240, 222, 246, -1, 246, 222, 224, -1, 246, 224, 254, -1,
 254, 224, 228, -1, 254, 228, 270, -1, 270, 228, 234, -1,
 216, 214, 218, -1, 218, 214, 199, -1, 218, 199, 220, -1,
 220, 199, 198, -1, 220, 198, 222, -1, 222, 198, 197, -1,
 222, 197, 224, -1, 224, 197, 196, -1, 224, 196, 228, -1,
 228, 196, 195, -1, 228, 195, 234, -1, 234, 195, 194, -1,
 145, 137, 175, -1, 179, 181, 155, -1, 182, 184, 147, -1,
 31, 27, 19, -1, 67, 59, 39, -1, 193, 119, 191, -1,
 191, 119, 131, -1, 191, 131, 190, -1, 87, 59, 95, -1,
 95, 59, 67, -1, 95, 67, 103, -1, 190, 131, 188, -1,
 188, 131, 139, -1, 188, 139, 187, -1, 119, 87, 131, -1,
 131, 87, 95, -1, 131, 95, 139, -1, 139, 95, 103, -1,
 139, 103, 147, -1, 147, 184, 139, -1, 139, 184, 185, -1,
 139, 185, 187, -1, 37, 57, 65, -1, 181, 182, 155, -1,
 155, 182, 147, -1, 155, 147, 111, -1, 111, 147, 103, -1,
 111, 103, 75, -1, 75, 103, 67, -1, 75, 67, 47, -1,
 47, 67, 39, -1, 47, 39, 27, -1, 65, 93, 101, -1,
 27, 31, 47, -1, 47, 31, 51, -1, 47, 51, 75, -1,
 75, 51, 85, -1, 75, 85, 111, -1, 111, 85, 129, -1,
 111, 129, 155, -1, 155, 129, 159, -1, 155, 159, 179, -1,
 137, 145, 101, -1, 101, 93, 137, -1, 137, 93, 127, -1,
 137, 127, 175, -1, 65, 57, 93, -1, 93, 57, 83, -1,
 93, 83, 127, -1, 127, 83, 117, -1, 127, 117, 175, -1,
 175, 176, 159, -1, 159, 176, 178, -1, 159, 178, 179, -1,
 19, 25, 31, -1, 31, 25, 45, -1, 31, 45, 51, -1,
 51, 45, 73, -1, 51, 73, 85, -1, 85, 73, 109, -1,
 85, 109, 129, -1, 129, 109, 153, -1, 129, 153, 159, -1,
 159, 153, 175, -1, 25, 37, 45, -1, 45, 37, 65, -1,
 45, 65, 73, -1, 73, 65, 101, -1, 73, 101, 109, -1,
 109, 101, 145, -1, 109, 145, 153, -1, 153, 145, 175, -1,
 379, 393, 394, -1, 353, 363, 368, -1, 325, 335, 344, -1,
 305, 313, 320, -1, 291, 295, 300, -1, 277, 279, 286, -1,
 279, 291, 286, -1, 286, 291, 300, -1, 286, 300, 301, -1,
 301, 300, 310, -1, 301, 310, 321, -1, 321, 310, 327, -1,
 321, 327, 345, -1, 345, 327, 349, -1, 345, 349, 370, -1,
 370, 349, 375, -1, 370, 375, 399, -1, 295, 305, 300, -1,
 300, 305, 320, -1, 300, 320, 310, -1, 310, 320, 326, -1,
 310, 326, 327, -1, 327, 326, 336, -1, 327, 336, 349, -1,
 349, 336, 355, -1, 349, 355, 375, -1, 375, 355, 381, -1,
 375, 381, 399, -1, 272, 277, 280, -1, 280, 277, 286, -1,
 280, 286, 296, -1, 296, 286, 301, -1, 296, 301, 314, -1,
 314, 301, 321, -1, 314, 321, 337, -1, 337, 321, 345, -1,
 337, 345, 364, -1, 364, 345, 370, -1, 364, 370, 399, -1,
 335, 353, 344, -1, 344, 353, 368, -1, 344, 368, 348, -1,
 348, 368, 374, -1, 348, 374, 354, -1, 354, 374, 380, -1,
 354, 380, 369, -1, 369, 380, 384, -1, 369, 384, 385, -1,
 385, 384, 390, -1, 385, 390, 399, -1, 363, 379, 368, -1,
 368, 379, 394, -1, 368, 394, 374, -1, 374, 394, 395, -1,
 374, 395, 380, -1, 380, 395, 396, -1, 380, 396, 384, -1,
 384, 396, 397, -1, 384, 397, 390, -1, 390, 397, 398, -1,
 390, 398, 399, -1, 313, 325, 320, -1, 320, 325, 344, -1,
 320, 344, 326, -1, 326, 344, 348, -1, 326, 348, 336, -1,
 336, 348, 354, -1, 336, 354, 355, -1, 355, 354, 369, -1,
 355, 369, 381, -1, 381, 369, 385, -1, 381, 385, 399, -1,
 271, 273, 264, -1, 264, 273, 265, -1, 264, 265, 262, -1,
 262, 265, 263, -1, 262, 263, 256, -1, 256, 263, 257, -1,
 256, 257, 252, -1, 252, 257, 253, -1, 252, 253, 248, -1,
 248, 253, 249, -1, 248, 249, 242, -1, 242, 249, 243, -1,
 242, 243, 238, -1, 238, 243, 239, -1, 238, 239, 230, -1,
 230, 239, 231, -1, 230, 231, 226, -1, 226, 231, 227, -1,
 226, 227, 216, -1, 216, 227, 217, -1, 216, 217, 214, -1,
 214, 217, 215, -1, 214, 215, 200, -1, 200, 215, 201, -1,
 193, 191, 213, -1, 213, 191, 212, -1, 212, 191, 211, -1,
 211, 191, 190, -1, 211, 190, 210, -1, 210, 190, 188, -1,
 210, 188, 209, -1, 209, 188, 187, -1, 209, 187, 208, -1,
 208, 187, 185, -1, 208, 185, 207, -1, 207, 185, 184, -1,
 207, 184, 206, -1, 206, 184, 182, -1, 206, 182, 205, -1,
 205, 182, 181, -1, 205, 181, 204, -1, 204, 181, 179, -1,
 204, 179, 203, -1, 203, 179, 178, -1, 203, 178, 202, -1,
 178, 176, 202, -1, 202, 176, 175, -1, 202, 175, 201, -1,
 399, 400, 365, -1, 399, 365, 364, -1, 364, 365, 338, -1,
 364, 338, 337, -1, 337, 338, 315, -1, 337, 315, 314, -1,
 314, 315, 297, -1, 314, 297, 296, -1, 296, 297, 281, -1,
 296, 281, 280, -1, 280, 281, 274, -1, 280, 274, 272, -1,
 265, 273, 282, -1, 257, 263, 269, -1, 249, 253, 259, -1,
 239, 243, 245, -1, 227, 231, 233, -1, 215, 217, 219, -1,
 201, 215, 202, -1, 202, 215, 219, -1, 202, 219, 203, -1,
 203, 219, 204, -1, 204, 219, 221, -1, 204, 221, 205, -1,
 205, 221, 206, -1, 206, 221, 223, -1, 206, 223, 207, -1,
 207, 223, 208, -1, 208, 223, 225, -1, 208, 225, 209, -1,
 209, 225, 210, -1, 210, 225, 229, -1, 210, 229, 211, -1,
 211, 229, 212, -1, 212, 229, 235, -1, 212, 235, 213, -1,
 217, 227, 219, -1, 219, 227, 233, -1, 219, 233, 221, -1,
 221, 233, 237, -1, 221, 237, 223, -1, 223, 237, 241, -1,
 223, 241, 225, -1, 225, 241, 247, -1, 225, 247, 229, -1,
 229, 247, 255, -1, 229, 255, 235, -1, 235, 255, 275, -1,
 231, 239, 233, -1, 233, 239, 245, -1, 233, 245, 237, -1,
 237, 245, 251, -1, 237, 251, 241, -1, 241, 251, 261, -1,
 241, 261, 247, -1, 247, 261, 285, -1, 247, 285, 255, -1,
 255, 285, 307, -1, 255, 307, 275, -1, 275, 307, 331, -1,
 243, 249, 245, -1, 245, 249, 259, -1, 245, 259, 251, -1,
 251, 259, 267, -1, 251, 267, 261, -1, 261, 267, 293, -1,
 261, 293, 285, -1, 285, 293, 319, -1, 285, 319, 307, -1,
 307, 319, 343, -1, 307, 343, 331, -1, 331, 343, 361, -1,
 253, 257, 259, -1, 259, 257, 269, -1, 259, 269, 267, -1,
 267, 269, 289, -1, 267, 289, 293, -1, 293, 289, 309, -1,
 293, 309, 319, -1, 319, 309, 333, -1, 319, 333, 343, -1,
 343, 333, 359, -1, 343, 359, 361, -1, 361, 359, 389, -1,
 263, 265, 269, -1, 269, 265, 282, -1, 269, 282, 289, -1,
 289, 282, 298, -1, 289, 298, 309, -1, 309, 298, 316, -1,
 309, 316, 333, -1, 333, 316, 340, -1, 333, 340, 359, -1,
 359, 340, 366, -1, 359, 366, 389, -1, 389, 366, 406, -1,
 367, 341, 373, -1, 373, 341, 347, -1, 373, 347, 377, -1,
 377, 347, 351, -1, 377, 351, 383, -1, 383, 351, 357, -1,
 383, 357, 387, -1, 387, 357, 372, -1, 387, 372, 391, -1,
 391, 372, 386, -1, 391, 386, 400, -1, 341, 317, 347, -1,
 347, 317, 323, -1, 347, 323, 351, -1, 351, 323, 329, -1,
 351, 329, 357, -1, 357, 329, 339, -1, 357, 339, 372, -1,
 372, 339, 356, -1, 372, 356, 386, -1, 386, 356, 382, -1,
 386, 382, 400, -1, 407, 367, 405, -1, 405, 367, 373, -1,
 405, 373, 404, -1, 404, 373, 377, -1, 404, 377, 403, -1,
 403, 377, 383, -1, 403, 383, 402, -1, 402, 383, 387, -1,
 402, 387, 401, -1, 401, 387, 391, -1, 401, 391, 400, -1,
 299, 283, 303, -1, 303, 283, 287, -1, 303, 287, 311, -1,
 311, 287, 302, -1, 311, 302, 328, -1, 328, 302, 322, -1,
 328, 322, 350, -1, 350, 322, 346, -1, 350, 346, 376, -1,
 376, 346, 371, -1, 376, 371, 400, -1, 283, 274, 287, -1,
 287, 274, 281, -1, 287, 281, 302, -1, 302, 281, 297, -1,
 302, 297, 322, -1, 322, 297, 315, -1, 322, 315, 346, -1,
 346, 315, 338, -1, 346, 338, 371, -1, 371, 338, 365, -1,
 371, 365, 400, -1, 317, 299, 323, -1, 323, 299, 303, -1,
 323, 303, 329, -1, 329, 303, 311, -1, 329, 311, 339, -1,
 339, 311, 328, -1, 339, 328, 356, -1, 356, 328, 350, -1,
 356, 350, 382, -1, 382, 350, 376, -1, 382, 376, 400, -1,
 407, 406, 366, -1, 407, 366, 367, -1, 367, 366, 340, -1,
 367, 340, 341, -1, 341, 340, 316, -1, 341, 316, 317, -1,
 317, 316, 298, -1, 317, 298, 299, -1, 299, 298, 282, -1,
 299, 282, 283, -1, 283, 282, 273, -1, 283, 273, 274, -1,
 2721, 2697, 2687, -1, 2513, 2519, 2432, -1, 2178, 2179, 2343, -1,
 2343, 2179, 2181, -1, 2357, 2170, 2172, -1, 2267, 2163, 2165, -1,
 2339, 2153, 2156, -1, 2145, 2147, 2265, -1, 2265, 2147, 2148, -1,
 2133, 2135, 2263, -1, 2263, 2135, 2137, -1, 2263, 2276, 2273, -1,
 2133, 2263, 2131, -1, 2131, 2263, 2273, -1, 2131, 2273, 2129, -1,
 2181, 2422, 2343, -1, 2343, 2422, 2517, -1, 2343, 2517, 2445, -1,
 2366, 2357, 2445, -1, 2445, 2357, 2172, -1, 2445, 2172, 2343, -1,
 2343, 2172, 2175, -1, 2343, 2175, 2178, -1, 2362, 2267, 2366, -1,
 2366, 2267, 2165, -1, 2366, 2165, 2357, -1, 2357, 2165, 2166, -1,
 2357, 2166, 2170, -1, 2517, 2532, 2445, -1, 2445, 2532, 2452, -1,
 2445, 2452, 2366, -1, 2366, 2452, 2450, -1, 2366, 2450, 2362, -1,
 2362, 2450, 2430, -1, 2345, 2339, 2430, -1, 2430, 2339, 2156, -1,
 2430, 2156, 2362, -1, 2362, 2156, 2159, -1, 2362, 2159, 2267, -1,
 2267, 2159, 2161, -1, 2267, 2161, 2163, -1, 2532, 2606, 2452, -1,
 2452, 2606, 2534, -1, 2452, 2534, 2450, -1, 2450, 2534, 2515, -1,
 2450, 2515, 2430, -1, 2430, 2515, 2435, -1, 2430, 2435, 2345, -1,
 2345, 2435, 2364, -1, 2620, 2700, 2705, -1, 2337, 2265, 2364, -1,
 2364, 2265, 2148, -1, 2364, 2148, 2345, -1, 2345, 2148, 2150, -1,
 2345, 2150, 2339, -1, 2339, 2150, 2152, -1, 2339, 2152, 2153, -1,
 2606, 2623, 2534, -1, 2534, 2623, 2591, -1, 2534, 2591, 2515, -1,
 2515, 2591, 2521, -1, 2515, 2521, 2435, -1, 2435, 2521, 2454, -1,
 2435, 2454, 2364, -1, 2364, 2454, 2426, -1, 2364, 2426, 2337, -1,
 2337, 2426, 2341, -1, 2604, 2519, 2593, -1, 2593, 2519, 2513, -1,
 2593, 2513, 2539, -1, 2623, 2629, 2591, -1, 2591, 2629, 2601, -1,
 2591, 2601, 2521, -1, 2521, 2601, 2536, -1, 2521, 2536, 2454, -1,
 2454, 2536, 2510, -1, 2454, 2510, 2426, -1, 2426, 2510, 2428, -1,
 2426, 2428, 2341, -1, 2341, 2428, 2348, -1, 2620, 2705, 2625, -1,
 2625, 2705, 2707, -1, 2625, 2707, 2627, -1, 2627, 2707, 2709, -1,
 2627, 2709, 2687, -1, 2687, 2709, 2713, -1, 2687, 2713, 2721, -1,
 2697, 2693, 2687, -1, 2687, 2693, 2604, -1, 2687, 2604, 2627, -1,
 2627, 2604, 2593, -1, 2627, 2593, 2625, -1, 2625, 2593, 2539, -1,
 2625, 2539, 2620, -1, 2693, 2614, 2604, -1, 2604, 2614, 2612, -1,
 2604, 2612, 2519, -1, 2519, 2612, 2528, -1, 2519, 2528, 2432, -1,
 2432, 2528, 2443, -1, 2432, 2443, 2441, -1, 2629, 2700, 2601, -1,
 2601, 2700, 2620, -1, 2601, 2620, 2536, -1, 2536, 2620, 2539, -1,
 2536, 2539, 2510, -1, 2510, 2539, 2513, -1, 2510, 2513, 2428, -1,
 2428, 2513, 2432, -1, 2428, 2432, 2348, -1, 2348, 2432, 2441, -1,
 2348, 2441, 2354, -1, 2145, 2265, 2141, -1, 2141, 2265, 2337, -1,
 2141, 2337, 2139, -1, 2139, 2337, 2341, -1, 2139, 2341, 2137, -1,
 2137, 2341, 2348, -1, 2137, 2348, 2263, -1, 2263, 2348, 2354, -1,
 2263, 2354, 2276, -1, 2368, 2359, 2352, -1, 2457, 2447, 2439, -1,
 2729, 2731, 2695, -1, 2280, 2278, 2271, -1, 2271, 2278, 2184, -1,
 2168, 2143, 2269, -1, 2697, 2721, 2723, -1, 2614, 2693, 2689, -1,
 2443, 2528, 2523, -1, 2523, 2528, 2612, -1, 2437, 2441, 2443, -1,
 2350, 2354, 2441, -1, 2143, 2129, 2269, -1, 2269, 2129, 2273, -1,
 2269, 2273, 2276, -1, 2725, 2689, 2723, -1, 2723, 2689, 2693, -1,
 2723, 2693, 2697, -1, 2729, 2695, 2727, -1, 2525, 2608, 2610, -1,
 2610, 2608, 2689, -1, 2610, 2689, 2691, -1, 2691, 2689, 2725, -1,
 2691, 2725, 2727, -1, 2727, 2695, 2691, -1, 2691, 2695, 2631, -1,
 2691, 2631, 2610, -1, 2530, 2525, 2542, -1, 2542, 2525, 2610, -1,
 2542, 2610, 2616, -1, 2616, 2610, 2631, -1, 2614, 2689, 2612, -1,
 2612, 2689, 2608, -1, 2612, 2608, 2523, -1, 2523, 2608, 2525, -1,
 2523, 2525, 2439, -1, 2439, 2525, 2530, -1, 2439, 2530, 2457, -1,
 2443, 2523, 2437, -1, 2437, 2523, 2439, -1, 2437, 2439, 2352, -1,
 2352, 2439, 2447, -1, 2352, 2447, 2368, -1, 2184, 2168, 2271, -1,
 2271, 2168, 2269, -1, 2271, 2269, 2350, -1, 2350, 2269, 2276, -1,
 2350, 2276, 2354, -1, 2441, 2437, 2350, -1, 2350, 2437, 2352, -1,
 2350, 2352, 2271, -1, 2271, 2352, 2359, -1, 2271, 2359, 2280, -1,
 2113, 2109, 2115, -1, 2327, 2333, 2331, -1, 2415, 2360, 2327, -1,
 2327, 2360, 2335, -1, 2327, 2335, 2333, -1, 2448, 2424, 2415, -1,
 2415, 2424, 2419, -1, 2415, 2419, 2360, -1, 2507, 2504, 2540, -1,
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 2559, 2472, 2474, -1, 2458, 2369, 2460, -1, 2460, 2369, 2371, -1,
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 2472, 2383, 2474, -1, 2474, 2383, 2385, -1, 2369, 2281, 2371, -1,
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 2383, 2293, 2295, -1, 2383, 2295, 2385, -1, 2385, 2295, 2297, -1,
 2281, 2188, 2283, -1, 2283, 2188, 2195, -1, 2283, 2195, 2285, -1,
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