Phylogeny of the Tertiary Giant Anhingas (Pelecaniformes
Transcription
Phylogeny of the Tertiary Giant Anhingas (Pelecaniformes
Phylogeny of the Tertiary Giant Anhingas (Pelecaniformes: Anhingidae) from South America Jorge I. Noriega and Herculano M. F. Alvarenga 1 CICyTTP-CONICET, Matteri y Espafi a, 3105 Diamante, Argentina; email: [email protected] 1 Museu de Historia Natural de Teubeie, Rua Colombia 99, 12030-520 Teubete, Brasil; email: [email protected] and their propulsi on in water consists of swimming very low on the surface and slow dives to prey on fishe s (Owre, 1967). Th e fossil record of the famil y has been reviewed by Ol son (198 5) , Becker (1986, 1987), Rasmus sen and Ka y (19 92), Noriega (1994), Alv arenga (1995), and Campbell (1996). Until recently, fossil darters were mainly kno wn from North Am erica, Europe, and Africa. In th e last decade, des cripti ons of three paleospecies of large-bodied anhin gas (Noriega, 1992 , 1995 ; Al var en ga , 1995 ; Campb ell , 1996) revealed a great diversity of these birds in the Tertiary of South A merica. However, knowl edge about the phylogenetic relationships amon g them remains rather unclear. In this pap er we present a hyp othesis about the phylogeny of th e Miocene da rters Ma cranhinga paran ens is Nori ega, 1992, Me ganh ing a chilens is Alvarenga, 1995, and Anhingafraileyi Campb ell, 1996, based m a inl y o n the mo rpholog y of th e tarsometatarsus, the pelvis, and the inferences about their capacities of flight. Abstract Recent findings of paleospecies of large bodied darters (Pelecaniformes: Anhingidae) have revealed a great div er sity of these birds in the Tertiary of South America. However, knowledge about the phylogenetic relationships among them has been rather unclear. An hypothesis of the phylogen y of the Miocene darters Macranhinga p aranensis Noriega , 1992, Meganhinga chilensis Alvarenga, 1995, and Anhinga fraileyi Campbell, 1996, based mainly on the morphology of the tarsometa tarsus, the pelvis, and the inferences about their capacities of flight is presented. Introduction Anhingas, also known as darters, are pelecaniform bi rd s belonging to the family Anhingidae of the subo rder Sulae, which also comprises the families Sul ida e, Phalacro cor acid ae , and the ext in ct Plotopteridae. They are fairly large water birds with very long and slende r necks and pointed bills. Anhingas alternate flapping flight with soaring glide s in therm als, Materials and Methods Fossil materials analyzed herein are housed in the collections ofthe Museo Argentino de Ciencias Naturales Bernardino Rivada via (MACN), Museo de La Plata 41 Proceedings of the 5th Symposium of the Society of Avian Paleontology and Evolution 42 (MLP), both in Arge ntina, and M useo Nacion al de His toria Natur al de Sa ntiago de Ch ile (SG O-PV) . They include three tarsom etat arsi (MACN 1350 7, ho!otype, fig . Id; both paratypes, MACN 122 81 and 12293) and three pe lvic girdles (M LP 88-IX-20 -5 , fig. 3d; 4 1-XII-13-929; 88- IX-20- 15) of Macran hinga 1° 0 ..'\ pa ranensis; a tar somet atarsu s (SGO-PV 400 I- A ; fig. lb) and two pelvic gird les (SGO-PV 4001-B and 400 2; fig . 3c) of Meganh inga chilensis. Comparison s with Anhinga fra ileyi were based on a cast of the holotyp e (Na tura l History Muse um of Los An ge les County, LACM 135356; fig . 1e). f( ~1 ~ 1 ! ~. :·1 , ( 7° c,.\_ ',J .' '.:' \ ~ ." "' go . "go Ii'~ ! 12 ~ I 7° t·., '\ ) \ \ '~ 14 1 g" V '. ~W\../ "1' 12o- T a c b 12 14 1 g1 _ _ h ., ~, '~ 1 2 1 " d A\ } e 2cm Editors: Zhonghe Zhou and Fucheng Zhang. Beijing: Science Press. 2002 O steolo gical comp ari son s w e re mad e with s ke le to ns of three s pe c ime n s of th e li vin g Phalacro corax bra sil ianus (Gme lin, 1789), three of Phalacrocorax carbo ( Li n na eu s, 175 8) , on e of Phalacrocorax auritus (Lesson, 1831), six of Anhinga anhinga (Linnaeus , 1766), two of Anhin g a nova ehollandiae Penn ant , 1769, one of Anhinga rufa Daudin , 1802, and one of A nhinga melanog aster Gould , 1847 (Appendi x 1). The principles of ph ylo g enetic s ystemat ics follo wed in this study are those described by Henn ig (1 968), Wiley ( 198 1), and E ld redg e and Crac ra ft (1980). Hypotheses of cha racter-state pol ar ity are proposed based on out- group comparison (Watrou s and Wheeler, 1981; Maddison et al., 1984). Cladistic Analysis Th e ph ylo gen etic ana lysis was performed usin g Henni g86 pro gram ve rs io n 1.5 ( F a rris, 198 8 ), employing the implicit enumeration option (ie), which ensures that minim al length trees are found . A total of 2 1 equa lly weighted ch aracters were selected: seventeen fro m the tarsometatarsu s, three from the pelvic girdle, and one related to the capacity of flight (Appendix 2). Three characters have multiple step transformations and they are treated as additive . The matri x of character states and taxa is given in Appendi x 3. Dat a that are missing because of the fragmentary state of pre servation of fossil mater ials .are indicated by question marks. The matrix includes four terminal taxa plu s two outgroups: the form er are the three Miocene paleospecies of giant dart ers plus Anhinga anhinga. The genu s A nh inga is assumed to be monophyletic , this fact being c onfirmed by the strong ske leta l resemblance among all its modem spe cies compared. FIGURE 1. Tarsometatarsi of (a) Phalacrocorax carbo (MHNT 989), (b) Meganhinga chilensis (SGO-PV-4001-A), (c) Anhinga anhinga (MHNT 1039), (d) Ma cranhinga paranensi s (MACN 13507), and (e) Anhinga fraileyi (Cast of LACM 135356) in anterior and posterior views; (a), (b), and (c) modified from Alvarenga (1995); (e) modi fied from Campbell (1996). 43 Based on this ass um ption, the same hyp otheses of character state pol arit y were established for all the living form s of Anhinga, and Anhinga anhinga was sele cted as rep resent ative of them because it is resident in Americ a . The liv ing species Ph al a cro corax brasilianus and Phalacrocorax auritus ( Phalacro coracidae) were chosen as the outgroups to polarize the characters be cause the Phalacro cora cidae is traditionally c o ns ide r ed the sister- group of the Anhingidae (O lson , 1985 ; Becker, 19 86 ; Si ege l Causey, 1988). Results The cladi stic analysis results in onl y one tree , with a total length of 31, Consistency Index (C.L) of 77, and Retention Inde x (R.L) of 68 (Fig . 4). Three syn apomorphies shared by all members of the famil y Anhingidae support their monoph yly (Node A: 11,8 1, 131; fig. 4) and separate them from the spec ies of Phalacrocoracidae, whi ch composes the out group taxa. The third calcaneal ridge of hypo tarsus (Character 1) evol ves from an incipient (Node A: 11 ; figs. Ib, 2c) to a well ped iceled tubercle (Node B: 12; figs . 1c, d, 2a, b) within darters. The other two derived characters of the tar som etatarsus of the Anhin gidae are the presence of a cons picuous internal mar gin of the anterior metatarsal groove (8 1) , and the cotyla lateralis with a less pronounced slope anteriad than cormorants (13 1) . M eg anh inga chilensis appears as the most basal taxon among the selected species of darters , close to the cormorants. Meganhinga chilensis is characterized by one autapomorphy (21 1) , which is its flightlessness. Alvarenga (199 5) inferred that Meganh inga chilensis was flightl ess based on the morphology of its wing bones and the different proportions that it had between the fore - and hind limbs than modern s pec ies of Anhinga . Ma cranhinga paranensis and A nhin ga fraileyi are sister taxa and, together with A nhinga anhinga , they form a clade that is the sister group of Meganhinga chilensis . This group is defined by three synapomorphies (Node B: 12,2 1,14 1; fig. 4): a) the first calcaneal rid ge of hypo tarsus less projected posteriorly than in Meganhing a chilensis and in the outgoups (2' ; figs. 2a, b). Regardless of the fact that Proceedings of the 5th Symposium of the Society of Avian Paleontology and Evolution 44 12 21 2° c b a d ;!?f :/: '"'<\\) 17 1 .r , (~k :,'' : , ( {' , \ ,'.; '{ ~: '" ". \ U ~ ~~ ; 5° ,I \ f I\ I \/ I 17° 2cm Editors: Zhonghe Zhou and Fucheng Zhang. Beijing: Science Press. 2002 45 E o l{) c b d 5cm FIGURE 3. Pelves of (a) Phalacro corax brasilianus (MHNT 232), (b) Anh inga anhinga (MHNT 1039), (c) Meganhinga chilensis (SGO-PV-4001-B and 4002), and (d) Macranhinga paran ensis (MLP-88-IX-20-5) in dorsal views; (a), (b), and (c) modified from Alvarenga (1995). the hypo tarsus is missing in Anhinga fraileyi, the polarity of this character state was inferred by analyzing the morphology of its well preserved hypotarsal ridge (crista medianoplantaris) . Crista medianoplantaris in Anhinga fraileyi is developed as a low ridge from level of foramina vascularia proximalia medialis distad (much more prominent ridge in Macranhinga paranensisi and more distally extended than in Meganhinga chilensis (see Campbell, 1996 for detailed comparisons). Both characters show that the crista medianoplantaris of the hypotarsus in Anhinga fraileyi meets the shaft smoothly, at a higher angle (more open) than in Meganhinga chilensis and FIGURE 2. Tarsometatarsi of (a) Macranhinga paranensis (MACN 13507), (b) Anhinga anhinga (MHNT 1039), (c) Meganhinga chilensis (SGO PV -400 I-A) , and (d) Phalacro corax carbo (MHNT 989) in cranial and medial views; (b), (c), and (d) modified from Alvarenga (1995). cormorants, as it would be expected for the presence of the first calcaneal ridge with lesser posterior projection; b) the proximal end of shaft wider in anterior view, narrowing less distal to cotylae than in . Meganhinga chil ensis and the outgoups (14 1; figs. le e). See Campbell (1996) for detailed description of this character in Anhinga fraileyi; and c) the more derived state of character 1 cited above. Anhinga anhin ga, as a representative of the living genus, is defined by three synapomorphies (17 1, 19', 20 1) : a) the impression of the M. extensor hallus longus origin well developed on anterior aspect, being only insinuated on medial view (17 1; fig. 2b); b) the cranial portions of the posterior iliac crests more divergent caudally on dorsal aspect. Consequently, the post acetabular region of the pelvis is wider (19 1; fig. 3b); whereas these crests are almost parallel caudally in the primitive character state and, consequently, the post-acetabular region of the pelvis is narrower (Figs. 3a, c, d) ; and c) the post-trochanteric process situated at the level of the acetabulum on dorsal aspect and 46 Proceedings of the 5th Symposium of the Society of Avian Paleontology and Evolution more laterally (20 1; fig. 3b). The plesiomorphic state of thi s character consists in the presence of the post trochanteric process at a more caudal and medial position to the acetabulum on dorsal view (Figs. 3a, c, d). The monophyly of the clade composed of Macranhinga paranensis and Anhinga fraileyi is supported by four derived ch aracters (Node C: 51, 7 1,9',12'; fig. 4): a) the angle between the hypo tarsal ridge (crista medianoplantaris) and the shaft is high (more open), meeting both smoothly (5'; figs. l e, 2a) ; this condition determines that the fossa parahypotarsalis medialis is larger and more extended downshaft than that of Anhinga anhinga and Meganhinga chilensis ; see Campbell (1996) for detailed description of this character in Anhinga frail eyi ; b) the groove where M . extensor hallus longus passes from the anterior to the posterior surface is situated on medial border of the shaft distally, i.e. at least on midshaft or more distal part of shaft (7 1; figs. Id, e); c) the broad midshaft region, widening more as it approaches trochlea metatarsi II (9 1; fig s. l d, e); and d) the broad and short trochlea III (12 1; figs . I d, e) are the remaining syn apomorphies that define this clade. Anhinga fraileyi is characterized in this cladistic analysis by presenting the autopomorphy of a high and narrow eminentia intercondylaris (4 1) . Other characters interpreted as specific, e.g. the orientation of trochlea III , are listed in the original diagnosis (Campbell, 1996). Discussions Campbell (1996) considered Meganhinga to be a junior synonym of Anhinga, arguing that the characters used by Alvarenga (1992) to erect the genus are typical of a larger version of a foot propelled diving bird . In addition, Campbell (1996) rejected the incapacity of flight of Meganhinga as a valid generic character based on the fact that the Phalacrocorax brasilianus Phalacrocorax auritus Meganhinga chilensis A Anhinga anhinga B Macranhinga paranensis C Anhinga fraileyi FIGURE 4. Cladogram with the non-ambiguous synapomorphies supporting each node; Character state indi cated as super-index. Node A: 11,8 1, ]3 1; Node B: 12,2 1,14 1; Node C: 5' ,7 1,91, 121• Editors: Zhonghe Zhou and Fucheng Zhang. Beijing: Science Press. 2002 variation between fore- and hindlimb lengths observed in this taxon may be common in anhingas . He added that the latter may be a situation analogous to that seen in cormorants, where only one species of Phalacrocorax is flightless , whereas the remaining species are volant. However, the cladogram obtained in this analysis shows that the first divergence splits Meganhinga chilensis from the remaining species as a separate taxon. Then, the recognition of a separate genus is largely justified if these ch aracters , i.e. the morphology of the first and third calcaneal ridges of hypotarsus of Meganhinga and its flightlessness , are analyzed in a phylogenetic context. Moreover, the same argument of flightlessnes s may be used conversely to validate the genus Meganhinga if the alternative systematic hypothesis, supporting that the nonvolant cormorant of the Galapagos Islands belongs to a genus (Nannopterum) distinct from Phalacrocorax, is considered (see Witherby et al., 1940; Ono, 1980; Siegel-Causey, 1988). It must be noted that three of the four synapomorphies defining the clade composed of Macranhinga paranens is and Anhinga fraileyi (Node C: 5 1, 7 1,12 1) are included in the original diagnosis of the genus Macranhinga (Norieg a, 1992). These characters, together with those described of the femur, tibiotarsus , pelvic girdle , humerus , and carpometacarpus (Noriega, this volume), justify the validity of the genus Macranhinga that was recently considered to be a junior synonym of Anhinga (Campbell, 1996). Finally, the cladistic analysis supports the taxonomic revision of Anhinga fra ileyi. We consider Anhinga fraileyi to be a valid species, but it probably should be included in the genus Ma cranhinga. A set of characters, not only of the tarsometatarsus, but from the humerus (i.e . the morphology of the margo caudalis, fossa pneumotricipitalis, impressio M. coracobrachialis cranial is, attachment ofM. pectoralis, processus flexorius , and the olecranal fossa) and tibiotarsus (i.e. the massive shaft and the proximal morphology of groove for peroneus profundus) of the paleospecies described by Campbell (1996), are shared with Macranhinga paranensis (Noriega, this volume). However, until new and better preserved fossil materials of Anhinga fraileyi are found, it is advisable to maintain its present status. 47 Conclusions 1) Meganhinga chilensis is the most basal paleospecies within the Miocene radiation of giant darters. 2) Macranhinga paranensis and Anhinga fraileyi are sister taxa, conforming a well defined clade. 3) Macranhinga and Meganhinga are valid genera, distinct from the extant genus Anhinga. 4) Anhinga fraileyi is a valid species, but it must be revised to determine its pos sible inclusion in the genus Macranhinga. Acknowledgments We express our gratitude to the organizing com mittee of the 5th International Meeting of SAPE for providing us the opportunity to participate in the symposium, as well as for their special atten tion to our case. We are grateful to K. E. Campbell for providing a cast of the holotype of Anhinga fraileyi. We thank Dr. Jose Bonaparte (Museo Argentino de C ien cias Naturales Bernardino Rivadavia) and curatorial personnel of the Museo de La Plata for granting acces s to fossil specimens; and CONICET for partial financial support of this research study. Literature Cited Alvarenga, H.M.F., 1995. A large and probably flightless Anhinga from the Miocene of Chile. In Peters, D.S., editor, Acta palaeomithologica, third Sym posium SAPE; 5 Internationale Senckenberg Konferenz 22-26 Juni 1992. Courier Forchungsintitut Senckenberg, 181: 149-161 Becker, J.J., 1986. Reidentification of "Phalacrocorax" s ubvo la ns Brodkorb as the earliest record of Anhingidae. Auk, 103: 804-808 Becker, J.J., 1987. Additional material of Anhinga grandis Martin y Mengel (Aves: Anhingidae) from the late Miocene of Florida. Proc. Biol. Soc. Washington, 100(2): 358-363 Campbell, K.E ., 1996. A new species of giant Anhinga (Aves: Pe1ecanifonnes: Anhingidae) from the up per Miocene (Huayquerian) of Amazonian Peru. Nat. Hist. Mus . Los Angeles Co., Contrib. Sci. , 460: 1-9 48 Proceed ings of the 5th Symposium of the Society of Av ian Paleontology and Evolut ion Eld red ge , N . and 1. Crac raft, 1980 . Phylogeneti c Pat terns and the Evo lutionary Process. 349 pages. New York: Co lumbia Univers ity Pre ss Farris, 1.S., 1988. Henn ig 86 Program and document a tio n fo r ve rsion 1.5 Henn ig , W., 19 6 8 . Elementos de un a Siste mati ca Filogenetica . 353 pages. Bue nos A ires : Eudeba Mad dison, w.r, M J . Donohu e and D .R. Maddison, 1984. O utgroup analysis and pa rsimony . Sy st . Zo o!., 33( 1): 83- 103 Noriega, J.I., 1992. Un nuevo ge nero de Anhingidae (Aves: Pe leca niformes) de la Fo rmaci6 n Itu z ai n g6 (Mioceno superior) de Argentina. No tas del Museo de La Plata, 109: 2 17223 Noriega, J. I., 1994 . Las Aves del "M esopotamiense" de la provincia de Entre Ri os, Argentina. Facultad de Cie ncias Natu rales y Museo, Univers idad Nacional de La Plata, Argentina , Ph.D. dissertat ion , No . 61 1. 162 page s N oriega , J .1., 19 9 5. The avifauna fro m the " Meso potam ian " (Ituzai ng6 Form ation; Upp er Mi ocene) o f E n tre Ri os P rovin ce , Arge n tina. Co urier Forchu ngsinst itut Senckenberg, 181 : 141-1 48 O lson, S.L., 1985. The fos sil record of bird s. In Fa nner, D.S., J.R. Ki ng and K.C. Parkes, editors, Avian Bio!., 8: 79-256. New York: Academ ic Pre ss O no, K., 1980. Compa rative osteo logy of three spec ies o f J ap an e se Cormora n ts of th e ge n us Phalacrocorax (Aves, Pelecanifonnes). Bull. Na tional Sci . Mus., Tokyo, 6(4): 129- 151 Owre,O.T., 1967. Adaptations for locomotion and feed ing in the Anhinga and the Do uble -Crested Cor morant. Ornithol. Mo nogr., 6: 1-138 Rasmussen , D.T. and R.F. Kay, 1992 . A Miocene Anhinga fro m Colomb ia, and comments on the zoogeo graphic relation sh ips of South America 's Tertiary av ifau na . In Campbell, K .E ., edi tor, Pap ers in Avian Paleontology honoring Pierce B rodkorb. Na t. Hist. Mu s. Los Ang eles Co., Sci. Series 36 : 225-230 S iegel-Causey, D ., 19 8 8. Phylogeny of th e Phalacrocoracidae. Condo r, 90: 885-905 Watrous, L., and Q .D. Wh eeler, 1981. The out-group com pari son meth od of chara cter analys is. Sys t. Zoo i., 30(1) : 1-11 Wiley, E.O ., 198 1. Phyl ogen etics: The Theo ry and Prac tice ofPhy logenetic Systemat ics. 439 pages. New York : J. Wiley and So ns Withe rby , H .F., F.C.R. Jour dain, N.F. Tic ehurs t et al. , 1940 . Handbook Br itish Birds, 4 : 1-14 Appendix 1: List of Specimens Used in the Osteological Comparisons Phala crocorax brasilianus (M use u d e Hist6 r ia Natura l d e T aub at e, M HNT 26, 232; Ce n t ro d e In v e s t ig ac ion e s Cie n tificas y T ra nsfe re ncia d e Tec no logia a la P roducci6n de Di am ant e, C ICyTTP 152), Pha facro corax ca rbo (MHNT 989, 113 4 , 1190), Pha lacrocorax au ritu s (M HNT 63 5) , Anhinga anhinga (M HNT 2 5, 882, 92 4, 10 39 ; Smithso n ian Institution , Natural Museum ofNatu ra l Hi story, Di vi sion of B ird s , NMNH 182 59; Mu seo Naciona l de Hi st oria Natu ra l d e P ara gu a y, M NH NP u nc at al o gu ed s peci men), A n h ing a n o va eh o l la nd ia e (M HNT 1210 , 1195 ) , A nhinga rufa ( N MN H 4 30 6 80 ) , a n d An hi ng a melan og aster (NMNH 488772 ). Appendix 2: List of Characters Used in the Cladistic Analysis 1. T hird calcanea l ridge of hypotarsu s: a low and small prominence (0); an inci p ient raised and flatt ened tu bercle (1); a we ll pediceled tubercle (2) . 2. First calcaneal ridge of hyp otarsu s: well projected posteriorly (0); less projected posteriorly (1) . 3 . Small fossa above trochlea III, on anterior view: present (0); absent ( 1). 4. Eminentia intercondylaris: low and broad (0); high and narrow ( 1). 5. Angle between hypo tarsal ridge and shaft: low (closed), meeting both abruptl y (0); high (open), smoo thly (1). 6. Lateral hypota rsal crest: hardly pron ou nced and rathe r straight (0); pronou nced and co nvex (1); p ronoun ced and less co nvex (2) . 7 . Positi on at medi al border of shaft of groove for pass ing M . extenso r hallu s longus from anterior to poste rior surface: proxim al to midshaft (0) ; mid- or more distal shaft ( 1). 8. Intern al ma rgi n of anterior me tatarsal groove : low, less marked (0); high , co nspicuous (1). 9. M ids ha ft region : narrow (0) ; broad (1) . 10. Media l expa ns ion of medial side of shaft at the fossa metatarsal I: not pro nounc ed (0); pro nounced (1). II. Distal extension of trochl ea II: sho rter than trochl ea III (0); equal or longer than trochl ea III ( I) . Editors : Zhonghe Zhou and Fucheng Zhang, Beijing: Science Press. 2002 • 12. Trochl ea III: nan-ow and ex ten ding more anteriad (lo nger), wit h thin troch lear rims and central groove (0); broad and extendi ng less anteriad (shorter), with w ide trochle ar rims and central groo ve (1) . 13. Cotyla lateral is: slopi ng steepl y anteria d (0); less pro nou nced sloping ( 1). 14. Narrowing of proximal end of shaft distal to coty lae in anterior view : we ll marked (0) ; less pronounced (1). 15. Spatial relati on betwe en pro ximal lateral ridge and dista l end of crista me dioanop lantaris: not meeting (0); mee ting at low ang le (1); meeting at hig h ang le (2) . 16. Proximal mo rphology of shaft, in medial view : curv ing strongly craniad to meet lip of cotyla medialis (0); curv ing sligh tly (1). 49 17. Impression of the M. extensor hallus longus origin: we ll deve loped on medial aspect (0); well developed on anterior aspect , on ly insinuated on media l aspect (1). 18. Hyp apo physis of the synsacral thoracic and lum bar vertebrae: present (0); absent (1) . 19. Cranial portions of the posterior iliac crests on dorsal aspect: almost parallel caudally. Consequen tly, the pos t- ace tabular region of the pelvis is nan-ower (0); divergent caudally. Consequently, the post-acetabul ar reg ion of the pelvis wider (1). 20 . Position of the post- trochanteric process on dorsal aspect: caudal and medial to the ace tabulum (0) ; at the level of the acetabulum and more lateral ( I). 21. Capacity of flight: pres ent (0); absent (1). Appendix 3: Matrix of Character States and Taxa • ~ Taxa Characters Phala crocorax bra silia n u s Ph a l acrocorax aur i t u s An h inga anhing a Mega nh i nga ch i l e ns is Macranh i n g a pa r anens is Anhinga fr a i l e yi 10 00000000 0 0 00 0 0 0 00000 21 100 20 0 0 1 1 01 0 01 0100 2 1 10 1 1 1 1 1 1 ? 1 1 1 12 1 1 1 0 20 0 00 0 0 0 0 000 000 0 0 0 0000 1 0 01 21 1011 ? 01 0 2 0 0000 0 1 11 1 10 100 1111 100 ? ?? 0 0 0 1 0 0