#NEXUS [!Yates, A. M., 2007. Solving a dinosaurian puzzle: the identity of Aliwalia rex Galton. Historical Biology, 19, 93-123.] BEGIN DATA; DIMENSIONS NTAX=45 NCHAR=348; FORMAT SYMBOLS= " 0 1 2 3 4 5" MISSING=? GAP=- ; MATRIX Euparkeria 00000000?000?0000000?000?10010000000000000000?000000000000100000000000000000000000?00?000?000000000?1000000000000000000?00000000000???0000??000000000?00?0?00??00000000000000000000000?0?0?????????0000020000000000??????00000000001?0?0?0000??00?0000?0000?0010000000000010000000000?02?000??01000001?000?100000?0000000??0?00010??0000??0001?000000000?000 Crurotarsi 000000000000?0(01)000000000?000000000(01)000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000???0000??000002000?00?0?00??00002000000000000000000000000000(01)00?0(01)0002000000000000000000000000000000000000(01)00000000?0000?0(01)00000000000000000000000?00?0000000000001?0000000000?0000000??0?000000000000000000000000000000(01) Marasuchus 00???????0?????????????0?00??????????????????0???????????????????????????00??00000???????????????????????00?00000000?1?100000000010???00?0??00?000000?00???00??000?00000000?000000000??01010000000?0000121000?0000?????????????????????????????000001000000?0000010000000000000001000000011000100000000000000001000100100000?00000000000000000?10?0??00???10 Agnosphitys ?0???????0?????????????11?0?000100???????????????????????????????????????????????????????????????????????00?000000000????????????????????????????????????????????????????????000?????????????????????????1100?00???????????????????????????????00000120000100????????????????????????????????????????????????10??????011000100??0??????????????????????????? Anchisaurus 10???00??012?1??11?????111011?010?01010110001100111101200?10?????201?0011011?2002010??????10?10?00??100?0010101?1(12)?0111?0011???1001001111011?10000?010?001100?000??0000000??0100?0??0?01?00?10?????11(01)??21100101100??0??100101110010020100000200(01)10103100000?1111100010011?001010000101101000010(01)11101000000110111?1?01?010???10111?0?01??0011?1010000010011 Antetonitrus ?1??????????????????????????????????????????????????????????????????????????????????????????????????????????1?1012000????????0?(01)1????????0??00?000001??00210010010121001000????????10000?01100???0?001??31100010110??????0010?3100???1010????????????????????111010001????????????1110111100111111110100000011011101?????????????????1011110????(12)1?00?0????3 Barapasaurus ????????????????????????????????????????????????????????????????????????????????????????????????????????????1?111211???????????1?1????00??002??100101??00201101111120121100?0(12)1001?10?11??1????????10100?1???????11????????????????????????????11110031011000011110011???11110010???????????????????1?1?1?????????1?1???????1?????????0???????????1?1??????5 Blikanasaurus ??????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????0000?0110111?1?0000101101011100101111112012110000100?2 Camelotia ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????1???????????0??0??001??002100000000??00?0??????????1???0??011?????????????????????????????????????????????????????????????????1??????????1??00111?111011110111?1??110?000000????????????????????????????????????(12)???000????5 Cetiosaurus 1??????????????????????????????????????????????????????01????????????????????????????????????????????????????????????2??0011110111110100100020?2001?10?1020??1011102010100???(12)?????1001??00100???011111031100100011???????1????????????????????1111003?0210?0010?1?011??1101?00???211112??0???010?111210100010010111???????????????????????????????????????5 Chindesaurus ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????100?????????????01?0??0?1??0?1??????000??00???????????1??0????1?00????????????????????????????????????????????????????????0???101?1????0??????????????00?0101110000000100??00?10111100???011110100??1??????????????????????????1 Coloradisaurus ?00?1002?012?111111?1??1110?111100?10??00?001?01110101?100100100?1011011011??110111???0?1?100101101011102100101010000?1?00?1100200100011?0110??00?001?1001100000000000000101110??0100100?0?????????011111121?011?????0?????????????????????????00100031100?0?11101100100111110111?001011010000101111010000?0110110???011110?000101???001110012?101?000021002 Efraasia 100?1001?01??1?111?112?1110?100???0100100000??0?10??01?1??1??????10?000?1????0110100??????10010010??11?021001010100001???1?11001101001011011010000001??001?00000000000000000110000101000?0110000?0?01011212000111001101012010?1100000111010001000100031000101100010000001100101101000011110000101100010000001101?001?011010?0?01?1110001??0011?1010000010002 Eoraptor 0010?000?0110?001100000101001001?00110100000?10110010100001000001001???0??1???????????????000000?0?0?0?0?00?100000000??????100001010000?10????000??00?0????00?000??00000001??10???100??????????????01???011???0?0????????20?000?1?000?0?010000110100?2?001110??0???0?0???10?0010?10????0?100??0011??000?0?10?0110??1????0???????????0?0???00?0010000000??000 Eucnemesaurus ???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????0???01??001100100000??00?0??????????10000?01100????????11??????????????????????????????????????????????????????110???0?????????????001101?1010?1010110??00000110110?????????????????????????????????????????(34) Gongxianosaurus 1?????0?????????12?????????????????????????????????????????????????????????????????????????????????????00???1??2121????????????0????????????1??0??001??0??????0?0??00000????????????0??0?0?1?0?000?011??2110????1?1????????????????????????????0?100????0?????????????????????????(12)111?2??????0???1101??????1?0??1???0?1?1????1?11??010???10?2?0111000020005 'Plateosaurus (=Gresslyosaurus) ingens' ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????01??01????????10?????????????????????????????????????????????????????????????????????????????????????????????????????????00?010????????????????????????????????????(01)???0?0????4 Guaibasaurus ???????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????0???01??011001000000??00000???????0?01100???????1????1??????????????????????????????????????????0?????1?00210110010000000010?10110?00001001000010?1?1010000?001111001?0?01????00101??0000??10?001000000000011 Herrerasaurus 00000000?011000000000000?000100000000010000001000101010100010000110100000011?0000000?1000?00000000?1000000000000000001010001000000100000?000010000011??0010(01)10000002000000100000101100000110010100?111??0110000000000000120000011000001101101010000012000000010000010???01?010100100001011100010110001000010000100010010010100000011000100001001000000000?02 Isanosaurus ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????0??0???????????2??10??0???????????????2?011000???????????????????????101?????????????????????????????????????????????????????????????????????????????211112??0???001?1?0??????????????????????????????????????????????????????3 Jingshanosaurus 1001?002??1211111100?0?11101110110?102001??1?10111011101001000????0110000011?211001000??1?10110010??11102100101211001????111??010??????1???10100??0011100?1???0000000000000??10??01000000001000000?001??11201011100??00??0011?3100100?01000102000100031000002111001002??110010110?01001101000010111101010000110110?12011010?00??????0101111012010100000010?4 Lufengosaurus 100???02???211?1?11?1111111111010001011010000101110101110010?1????0110??011??01010100?011010010????0111?21011010100011?00011100200110111?0110100020011100110000000000000010011010010000000(01)1000000000111112(01)101110011011110111310010120100010200010003110000211101100210110010110000101101000010211101010000110110010011110?0001?1110101110012010110000(12)(01)004 Mamenchisaurus 11000113?11201101200000001011?2???11120101010111?1?101201000001112210??0?0????????????????11(01)00001?0100011111111121113??0011101210????0111002?11101010?0020?1?001?020121000?011??1?11111101?001011?1???????00??0??????????1?????????????1??????11110031011?00?11?1001100?11??00100211112??0???010?11121010?1??0??????101011111??????1?????2??2?02?111102??05 Massospondylus 10011002101211111111121101111101000101101000110011011111001000102?01?01100111010101??1010010010110101010210(01)1010110011100?111002001001111011010002001110011000000000000001011101001(01)00000000000000?01(01)111120101110011011110111210010121100000200010003100010011101100100110010111000101101000010210101000000110110010011110100011111000111001201010000021002 Melanorosaurus 1001?103?01211111101?1110101111???010101101011001101011?000000102?011011001??2002010010011101?00101?1000210?10021100110?010110011011010010111?0000001??00210000000010000000?020100110010?001100????000??21200000110??????00?0?2100101(12)0?000102000100031000001111010001???1?010110?11101111001110011101000000110110010211010100001110010111001?111110000110?3 Neosauropoda 110001131112011012000001010111(02)1111112010101011(01)11110120100(01)1011222111001011120(01)200000102011100001201000(02)111111(02)12(01)112(01)00001110011110100110020121010101(01)0201110011020121100002100111001111(01)1000010011100311001(01)00111100010100000000110001??1?3011110031021000011110011001110(01)10(01)00211112??0???010?11121010?11000011111010111111011??111100210200211111021105 Neotheropoda 00(01)0(01)002(01)01201001100001(01)00000000000110000000010(01)100(01)01010001(01)0001(01)010000001110000001110001000000001?00000000000000000101100110000010000(01)1000010200001010110010000001000000000(12)1000110000000001010000100101100000100010001200000010?0001001101(12)10101003000211111010000111110000110100001?011000100000000(01)011011111002001011000011111000?0?0000011000000000012 Omeisaurus 11000113111201101200000101011?2010111201010101111101012010000011222111001011???0?00???1???11100001?0?00021101111121113??001110120011010111002?12101010110201100011020121100?021??1?10011100100?01111110031100100011??????0100001000110001001?3011110031011000011110011000111100100211012??0???010?01021010011?0??111?011010?11??1????1111021020021111102?105 Ornithischia 001000000000?0000000?000?101100010100?1000000100100001010000(01)00010010000000100000000010010(01)01(01)000000100111001110100001000000000010100(01)0000??010000000?00?0?00?000000000000000(12)100000000000100001000010111110000010000000000000000000000000000000110102100010011??000?000110000000100001?010111102000000000(01)011110002?01?(01)100000111100000000000(01)1000000000010 Patagosaurus 11?????????????????????????????????????????????????????????????????????????????????????????1?00001??????0??0111012111??????1100101100000110020?2001010?00201?01111120121?00?0210011100?1?0?100???0?11100?1100100?11????????????????????????????1111003101000001111001100111110010?211112??0???0011111?101000??0????????????????????????????????????????????5 Plateosaurus_engelhardti 100110011012011(01)111112111100101100010010101011001100110101100100110110110111111011000101111001011010111121001010100001100111100110100(01)0110110100020011100110000000000000010110100010000000010000000010111120001110011011110101110010020100000100010003110010210101000111110010111100001111000010110001000010111110010011010100010111000110001111010000010004 Plateosaurus_gracilis ?00??001?012?110111?1??1110?101??0?10?1010?0??0?10001101??10?????????????????1?????????????0??0110?????12100101010?001?????1100??01???01101101?00?001?100110000000000000010?1010001010000001000?00???????1200?11100?1011?10101010000???10??????001000311001021010100011111001011??00001111000010110?010000?0??0110????????????????????0?????????0?0????????(23) Plateosauravus ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????10???0100101?01101?00(12)0011?00110000000001000000??10??011???0??110????????0??(23)1110011100????????????1???????????????00100031100101?01????????11??10110?00001111000011110001000000110110??????0???????????????11?0????0??????????4 Riojasaurus 1001?00??012011?110??0011101101100?100001000?10010?00111001000001101?0?10011?01011??????1?001000?1??101?200010101000010??1111001101001011011010001001110011000000000000001011101001000000011000??0?0101121210111100111111?01111101100101000102?0010003110010211101000110110010110010110111010110201101000000110110010011010100??011?00011100121111000001??13 Ruehleia ????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????10???0????01???101?002001??00110010000011000000?1100001?00?0?0110??????0101111200011100?0100??01011101000???0??00??001000311000021??11000110110?10110?101011010000102100010?00?011011001?000010100?????????????????????????????3 Saturnalia 10???????????????????????1??1????0?100?0??????????????????10?????1??00???0???0?0000??????????01000??????0000100010000????????00??010010??01101?000001?000110010000000000?000000000101??????????????1111111100010100????????????????????????????0??0?11100210210000000100110010010000001001100010110001000000010100010010010100000001000000001011000?000?0010 Shunosaurus 11000113?11201101200000001011?201011120101010100110101210001101112101000101?120020???110200100000120100011111112121112??01011?1001?1?10010012?1100001011021?0?001?0201210000?11?00?100111011001?111?1?00211001100?11000?1011001?000110000??1?301111003101100001111?01100?111100100211112??0???000?01121010?01?0????110?101???11011??1111102002?02111?1021105 Silesaurus 00?0??00?000?00100000??0?00?0?0101?????????0010??0????01?????????00?0?0?000??000000?????1?00?0?010???0?0000010001000010?00000000000???0010000000000010100001100000000000000??00000100000?0?0???????1111110000100000????????????????????????????000001000000001000000000?010100?0?10000110110001011000100011000000000?0000000??11?1??00??000000?10???000?0011 Staurikosaurus 00????????????????????????????????????????????????????????????????????????????????????????0000000001000?00?0000000000????????00010????00?01001?000011?000?00000000020000001??010101100000110010????1?1?????????????????????????????????????????000001200110001110?010?00010?00000100001??000?0101?000000001000000001????01?????????????????????????????????1 Tazoudasaurus 11????????????????????????????????????????????????010????????????00?1?????????????????????00000001???0??20?111101210???????????????????????02??1??001??102011?001??20111?00????????00????110????11???????????????????????????????????????????????????????????111010001????????????(12)1???1?1001?0???????0????0?????????10101?111??????????????????1??10?1????5 Thecodontosaurus_antiquus ?0???????????????????????1??1??100??????0?0?0?0???000????????????10?0?0?101??011000???????00?11010??????2100101010000?1??????000101010?1?01101?000001??00110000000000000000?1000?0101100?01000??00?0101121100010100110001201000110000101000001100000021000001???0?000??011??01010?000011110000101100010000000101100??011010100????110001110?1?010??00?0????1 Thecodontosaurus_caducus ?0???0???????????(01)00?0???1??1????00100100000010?100001?10????????00?000?1?1??00100011?000?00?01010??0000?1001010100001001??1100?10101001101101?00???1????1???????????????????????0??11?00010000100????11?1?00??????????????????????????????????00100021100001?????????0011??10110?00??????????1?1?000?0000000?01?001?????????????????001110011?100000001001? Unaysaurus 100?1001??1?01?111???211110?101100????????????0??00001?101100000??0?10??0?1??010100???????10?10110?????02?00101010000???0?1?????0?1?0??????????0??0?1??00?10000?0??0000??????????????0????01000?00?01011?1200001100??????1????110????211???0????????????????????????????????????????????????????????????????110110???011010??????????0?110???0??0??????????1 Vulcanodon ?????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????????(12)????????????????????1??????0111?0?00?0?0??01??2110?10?011??????????????????????????????????310(12)?00?11111000100111110010?111011110010011?1??20?10001?0???11?1010110111011??11?01010120011110?121?05 Yunnanosaurus 110??002?01?1111110????101?11?0101?10(12)?????0??0???0111?00??00010??01?0??001???????????????10?00010???0?011001012121111???111100110110100?0110100000011000110000000001000000?010110100000?00?0??0??001???11200?11100??01??0011?2101100201000(01)02?001000310000001110100010?110010111?0010110100001011010101000010011001?011010100011110010111001???11?0000110?2 ; END; BEGIN ASSUMPTIONS; OPTIONS DEFTYPE=unord PolyTcount=MINSTEPS ; TYPESET * UNTITLED = unord: 1-7 9-11 13-17 19-37 39-54 56-66 68-88 90-98 100-117 119-127 129-140 142-143 145 148-153 155-200 202 204-217 219-222 224-229 231-237 239-245 247-248 250-261 263-274 276-293 295-307 309-333 335-336 338-343 345-348, ord: 8 12 18 38 55 67 89 99 118 128 141 144 146-147 154 201 203 218 223 230 238 246 249 262 275 294 308 334 337 344; END; BEGIN TREES; Translate 1 Euparkeria, 2 Crurotarsi, 3 Marasuchus, 4 Agnosphitys, 5 Anchisaurus, 6 Antetonitrus, 7 Barapasaurus, 8 Blikanasaurus, 9 Camelotia, 10 Cetiosaurus, 11 Chindesaurus, 12 Coloradisaurus, 13 Efraasia, 14 Eoraptor, 15 Eucnemesaurus, 16 Gongxianosaurus, 17 'Plateosaurus (=Gresslyosaurus) ingens', 18 Guaibasaurus, 19 Herrerasaurus, 20 Isanosaurus, 21 Jingshanosaurus, 22 Lufengosaurus, 23 Mamenchisaurus, 24 Massospondylus, 25 Melanorosaurus, 26 Neosauropoda, 27 Neotheropoda, 28 Omeisaurus, 29 Ornithischia, 30 Patagosaurus, 31 Plateosaurus_engelhardti, 32 Plateosaurus_gracilis, 33 Plateosauravus, 34 Riojasaurus, 35 Ruehleia, 36 Saturnalia, 37 Shunosaurus, 38 Silesaurus, 39 Staurikosaurus, 40 Tazoudasaurus, 41 Thecodontosaurus_antiquus, 42 Thecodontosaurus_caducus, 43 Unaysaurus, 44 Vulcanodon, 45 Yunnanosaurus ; tree MPT_1 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_2 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_3 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_4 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_5 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_6 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_7 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_8 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_9 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_10 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_11 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_12 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_13 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_14 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_15 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_16 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),(40,44)),20),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_17 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_18 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_19 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((((7,30),(23,28)),(10,26)),37),20),44),40),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_20 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_21 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_22 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_23 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_24 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_25 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_26 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_27 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_28 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_29 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_30 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_31 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_32 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),(23,28)),(10,26)),37),20),(40,44)),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_33 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_34 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_35 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_36 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_37 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_38 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((((7,30),((10,26),(23,28))),37),20),44),40),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_39 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_40 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_41 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_42 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_43 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_44 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_45 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_46 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_47 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_48 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_49 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_50 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_51 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_52 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),(41,42)),36)),14),(19,39)),29),38)))); tree MPT_53 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25),45)),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_54 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),(40,44)),16)),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_55 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_56 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_57 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_58 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_59 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),16),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_60 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),16),9),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_61 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),(9,16)),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_62 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,((((((7,30),((10,26),(23,28))),37),20),44),40)),9),16),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_63 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_64 = [&R] (1,(2,(3,((((((4,((11,27),18)),((((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25)),45),21),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_65 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),(9,16)),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); tree MPT_66 = [&R] (1,(2,(3,((((((4,((11,27),18)),(((((((((((5,(((((6,(((((7,30),((10,26),(23,28))),37),20),(40,44))),9),16),8),25)),(21,45)),((12,22),24)),(15,34)),(((17,31),32),43)),35),33),13),41),42),36)),14),(19,39)),29),38)))); END;