*KEYWORD *TITLE Pendulum with 2 spheres colliding $ $ - uses *DEFORMABLE_TO_RIGID option to decrease execution time before impact $ $ - one sphere is given an initial velocity (gravity alone just takes $ too long for the pendulum to swing) $ $ J.D. Reid 6/22/95, 4/7/98, 11/15/06 $ $ Units: mm, kg, ms, kN, GPa, kN-mm $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Control Ouput $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *CONTROL_TERMINATION $ endtim endcyc dtmin endeng endmas 10.0 $ *CONTROL_ENERGY $ hgen rwen slnten rylen 2 2 2 $ *CONTROL_OUTPUT $ npopt neecho nrefup iaccop opifs ipnint ikedit iflush 1 3 $ $ *DATABASE_BINARY_D3PLOT $ dt lcdt 1.00 $ *DATABASE_GLSTAT $ dt 0.10 $ *DATABASE_MATSUM $ dt 0.10 $ *DATABASE_NODOUT $ dt 0.10 $ *DATABASE_HISTORY_NODE $ define nodes that output into nodout $ id1 id2 id3 id4 id5 id6 id7 id8 350 374 678 713 $ *DATABASE_RBDOUT $ dt 0.10 $ *DATABASE_RCFORC $ dt 0.10 $ *DATABASE_SLEOUT $ dt 0.10 $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Define Contacts - Sliding Interfaces $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *CONTACT_AUTOMATIC_SINGLE_SURFACE_ID $ cid heading - columns 11-80 1 Contact for all parts - auto_ss $ $ ssid msid sstyp mstyp sboxid mboxid spr mpr 0 $ Equating ssid to zero means that all parts are included in the contact $ $ fs fd dc vc vdc penchk bt dt 0.08 0.08 $ sfs sfm sst mst sfst sfmt fsf vsf $ $ $$$ Force Transducer - contact forces on sphere 2 $ *CONTACT_FORCE_TRANSDUCER_PENALTY_ID $ cid 2 Force transducer for sphere 2 $ ssid msid sstyp mstyp 2 3 $ $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Gravity $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *LOAD_BODY_Y $ lcid sf lciddr xc yc zc 1 0.00981 $ *DEFINE_CURVE $ lcid sidr scla sclo offa offo 1 $ $ abscissa ordinate $ 0.00 1.000 10000.00 1.000 $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Boundary and Initial Conditions $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ $$$$ Constrain translation of end points of beams $ *BOUNDARY_SPC_NODE $ nid cid dofx dofy dofz dofrx dofry dofrz 45004 0 1 1 1 0 0 0 45005 0 1 1 1 0 0 0 45010 0 1 1 1 0 0 0 45011 0 1 1 1 0 0 0 $ $ *INITIAL_VELOCITY $ nsid nsidex boxid 5 $ $ vx vy vz wx wy wz 0.0 -12.0 0.0 $ *DEFINE_BOX $ boxid xmm xmx ymn ymx zmn zmx 5 -120.0 -80.0 80.0 120.0 -30.0 30.0 $ $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Define Parts and Materials $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *PART $ pid sid mid eosid hgid grav adpopt sphere1 1 1 1 sphere2 2 1 1 pendulum wires - elastic beams 45 45 45 $ $ $$$$ Materials $ $ Aluminum $ *MAT_PLASTIC_KINEMATIC $ mid ro e pr sigy etan beta 1 2.70e-6 68.9 0.330 0.286 0.00689 $ $ src srp fs $ *MAT_ELASTIC $ mid ro e pr da db k 45 7.86e-6 210.0 0.30 $ $ $$$$ Sections $ *SECTION_SHELL $ sid elform shrf nip propt qr/irid icomp 1 16 3 $ $ t1 t2 t3 t4 nloc 1.0 1.0 1.0 1.0 $ $ *SECTION_BEAM $ sid elform shrf qr/irid cst 45 3 1.00000 1.0 $ $ res: a iss itt irr sa 10.0 $ $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Deformable Switching $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *DEFORMABLE_TO_RIGID $ pid mrb 1 $ *DEFORMABLE_TO_RIGID $ pid mrb 2 $ $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Define Nodes and Elements $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *NODE $ nid x y z tc rc 1 -1.08660250E+02 9.133975000E+01 -3.66025000E+00 2 -1.09496480E+02 9.331914000E+01 -4.49648000E+00 3 -1.10108300E+02 9.545641000E+01 -5.10830000E+00 4 -1.10481300E+02 9.770104000E+01 -5.48130000E+00 5 -1.10606600E+02 9.999999987E+01 -5.60660000E+00 6 -1.10481300E+02 1.022989600E+02 -5.48130000E+00 7 -1.10108300E+02 1.045435900E+02 -5.10830000E+00 8 -1.09496480E+02 1.066808600E+02 -4.49648000E+00 9 -1.08660250E+02 1.086602500E+02 -3.66025000E+00 10 -1.09496480E+02 9.050352000E+01 -1.68086000E+00 11 -1.10605400E+02 9.249913000E+01 -2.50087000E+00 12 -1.11473700E+02 9.479842000E+01 -3.14240000E+00 13 -1.12030400E+02 9.733400000E+01 -3.55349000E+00 14 -1.12222600E+02 9.999999986E+01 -3.69534000E+00 15 -1.12030400E+02 1.026660000E+02 -3.55349000E+00 16 -1.11473700E+02 1.052015800E+02 -3.14240000E+00 17 -1.10605400E+02 1.075008700E+02 -2.50087000E+00 18 -1.09496480E+02 1.094964800E+02 -1.68086000E+00 19 -1.10108300E+02 8.989170000E+01 4.564100000E-01 20 -1.11473700E+02 9.185760000E+01 -2.01580000E-01 21 -1.12607500E+02 9.425324000E+01 -7.46760000E-01 22 -1.13369500E+02 9.701778000E+01 -1.11255000E+00 23 -1.13639500E+02 9.999999985E+01 -1.24207000E+00 24 -1.13369500E+02 1.029822200E+02 -1.11255000E+00 25 -1.12607500E+02 1.057467600E+02 -7.46760000E-01 26 -1.11473700E+02 1.081424000E+02 -2.01580000E-01 27 -1.10108300E+02 1.101083000E+02 4.564100000E-01 28 -1.10481300E+02 8.951870000E+01 2.701040000E+00 29 -1.12030400E+02 9.144651000E+01 2.334000000E+00 30 -1.13369500E+02 9.388745000E+01 2.017780000E+00 31 -1.14300400E+02 9.679846000E+01 1.798460000E+00 32 -1.14636800E+02 9.999999984E+01 1.719280000E+00 33 -1.14300400E+02 1.032015400E+02 1.798460000E+00 34 -1.13369500E+02 1.061125500E+02 2.017780000E+00 35 -1.12030400E+02 1.085534900E+02 2.334000000E+00 36 -1.10481300E+02 1.104813000E+02 2.701040000E+00 37 -1.10606600E+02 8.939340000E+01 4.999999866E+00 38 -1.12222600E+02 9.130466000E+01 4.999999856E+00 39 -1.13639500E+02 9.375793000E+01 4.999999848E+00 40 -1.14636800E+02 9.671928000E+01 4.999999842E+00 41 -1.15000000E+02 9.999999984E+01 4.999999839E+00 42 -1.14636800E+02 1.032807200E+02 4.999999842E+00 43 -1.13639500E+02 1.062420700E+02 4.999999848E+00 44 -1.12222600E+02 1.086953400E+02 4.999999856E+00 45 -1.10606600E+02 1.106066000E+02 4.999999866E+00 46 -1.10481300E+02 8.951870000E+01 7.298960000E+00 47 -1.12030400E+02 9.144651000E+01 7.666000000E+00 48 -1.13369500E+02 9.388745000E+01 7.982220000E+00 49 -1.14300400E+02 9.679846000E+01 8.201540000E+00 50 -1.14636800E+02 9.999999984E+01 8.280720000E+00 51 -1.14300400E+02 1.032015400E+02 8.201540000E+00 52 -1.13369500E+02 1.061125500E+02 7.982220000E+00 53 -1.12030400E+02 1.085534900E+02 7.666000000E+00 54 -1.10481300E+02 1.104813000E+02 7.298960000E+00 55 -1.10108300E+02 8.989170000E+01 9.543590000E+00 56 -1.11473700E+02 9.185760000E+01 1.020158000E+01 57 -1.12607500E+02 9.425324000E+01 1.074676000E+01 58 -1.13369500E+02 9.701778000E+01 1.111255000E+01 59 -1.13639500E+02 9.999999985E+01 1.124207000E+01 60 -1.13369500E+02 1.029822200E+02 1.111255000E+01 61 -1.12607500E+02 1.057467600E+02 1.074676000E+01 62 -1.11473700E+02 1.081424000E+02 1.020158000E+01 63 -1.10108300E+02 1.101083000E+02 9.543590000E+00 64 -1.09496480E+02 9.050352000E+01 1.168086000E+01 65 -1.10605400E+02 9.249913000E+01 1.250087000E+01 66 -1.11473700E+02 9.479842000E+01 1.314240000E+01 67 -1.12030400E+02 9.733400000E+01 1.355349000E+01 68 -1.12222600E+02 9.999999986E+01 1.369534000E+01 69 -1.12030400E+02 1.026660000E+02 1.355349000E+01 70 -1.11473700E+02 1.052015800E+02 1.314240000E+01 71 -1.10605400E+02 1.075008700E+02 1.250087000E+01 72 -1.09496480E+02 1.094964800E+02 1.168086000E+01 73 -1.08660250E+02 9.133975000E+01 1.366025000E+01 74 -1.09496480E+02 9.331914000E+01 1.449648000E+01 75 -1.10108300E+02 9.545641000E+01 1.510830000E+01 76 -1.10481300E+02 9.770104000E+01 1.548130000E+01 77 -1.10606600E+02 9.999999987E+01 1.560660000E+01 78 -1.10481300E+02 1.022989600E+02 1.548130000E+01 79 -1.10108300E+02 1.045435900E+02 1.510830000E+01 80 -1.09496480E+02 1.066808600E+02 1.449648000E+01 81 -1.08660250E+02 1.086602500E+02 1.366025000E+01 82 -1.06680860E+02 9.050352000E+01 -4.49648000E+00 83 -1.04543590E+02 8.989170000E+01 -5.10830000E+00 84 -1.02298960E+02 8.951870000E+01 -5.48130000E+00 85 -1.00000000E+02 8.939340000E+01 -5.60660000E+00 86 -9.77010400E+01 8.951870000E+01 -5.48130000E+00 87 -9.54564100E+01 8.989170000E+01 -5.10830000E+00 88 -9.33191400E+01 9.050352000E+01 -4.49648000E+00 89 -9.13397500E+01 9.133975000E+01 -3.66025000E+00 90 -1.07500870E+02 8.939460000E+01 -2.50087000E+00 91 -1.05201580E+02 8.852630000E+01 -3.14240000E+00 92 -1.02666000E+02 8.796960000E+01 -3.55349000E+00 93 -1.00000000E+02 8.777740000E+01 -3.69534000E+00 94 -9.73340000E+01 8.796960000E+01 -3.55349000E+00 95 -9.47984200E+01 8.852630000E+01 -3.14240000E+00 96 -9.24991300E+01 8.939460000E+01 -2.50087000E+00 97 -9.05035200E+01 9.050352000E+01 -1.68086000E+00 98 -1.08142400E+02 8.852630000E+01 -2.01580000E-01 99 -1.05746760E+02 8.739250000E+01 -7.46760000E-01 100 -1.02982220E+02 8.663050000E+01 -1.11255000E+00 101 -1.00000000E+02 8.636050000E+01 -1.24207000E+00 102 -9.70177800E+01 8.663050000E+01 -1.11255000E+00 103 -9.42532400E+01 8.739250000E+01 -7.46760000E-01 104 -9.18576000E+01 8.852630000E+01 -2.01580000E-01 105 -8.98917000E+01 8.989170000E+01 4.564100000E-01 106 -1.08553490E+02 8.796960000E+01 2.334000000E+00 107 -1.06112550E+02 8.663050000E+01 2.017780000E+00 108 -1.03201540E+02 8.569960000E+01 1.798460000E+00 109 -1.00000000E+02 8.536320000E+01 1.719280000E+00 110 -9.67984600E+01 8.569960000E+01 1.798460000E+00 111 -9.38874500E+01 8.663050000E+01 2.017780000E+00 112 -9.14465100E+01 8.796960000E+01 2.334000000E+00 113 -8.95187000E+01 8.951870000E+01 2.701040000E+00 114 -1.08695340E+02 8.777740000E+01 4.999999856E+00 115 -1.06242070E+02 8.636050000E+01 4.999999848E+00 116 -1.03280720E+02 8.536320000E+01 4.999999842E+00 117 -1.00000000E+02 8.500000000E+01 4.999999839E+00 118 -9.67192800E+01 8.536320000E+01 4.999999842E+00 119 -9.37579300E+01 8.636050000E+01 4.999999848E+00 120 -9.13046600E+01 8.777740000E+01 4.999999856E+00 121 -8.93934000E+01 8.939340000E+01 4.999999866E+00 122 -1.08553490E+02 8.796960000E+01 7.666000000E+00 123 -1.06112550E+02 8.663050000E+01 7.982220000E+00 124 -1.03201540E+02 8.569960000E+01 8.201540000E+00 125 -1.00000000E+02 8.536320000E+01 8.280720000E+00 126 -9.67984600E+01 8.569960000E+01 8.201540000E+00 127 -9.38874500E+01 8.663050000E+01 7.982220000E+00 128 -9.14465100E+01 8.796960000E+01 7.666000000E+00 129 -8.95187000E+01 8.951870000E+01 7.298960000E+00 130 -1.08142400E+02 8.852630000E+01 1.020158000E+01 131 -1.05746760E+02 8.739250000E+01 1.074676000E+01 132 -1.02982220E+02 8.663050000E+01 1.111255000E+01 133 -1.00000000E+02 8.636050000E+01 1.124207000E+01 134 -9.70177800E+01 8.663050000E+01 1.111255000E+01 135 -9.42532400E+01 8.739250000E+01 1.074676000E+01 136 -9.18576000E+01 8.852630000E+01 1.020158000E+01 137 -8.98917000E+01 8.989170000E+01 9.543590000E+00 138 -1.07500870E+02 8.939460000E+01 1.250087000E+01 139 -1.05201580E+02 8.852630000E+01 1.314240000E+01 140 -1.02666000E+02 8.796960000E+01 1.355349000E+01 141 -1.00000000E+02 8.777740000E+01 1.369534000E+01 142 -9.73340000E+01 8.796960000E+01 1.355349000E+01 143 -9.47984200E+01 8.852630000E+01 1.314240000E+01 144 -9.24991300E+01 8.939460000E+01 1.250087000E+01 145 -9.05035200E+01 9.050352000E+01 1.168086000E+01 146 -1.06680860E+02 9.050352000E+01 1.449648000E+01 147 -1.04543590E+02 8.989170000E+01 1.510830000E+01 148 -1.02298960E+02 8.951870000E+01 1.548130000E+01 149 -1.00000000E+02 8.939340000E+01 1.560660000E+01 150 -9.77010400E+01 8.951870000E+01 1.548130000E+01 151 -9.54564100E+01 8.989170000E+01 1.510830000E+01 152 -9.33191400E+01 9.050352000E+01 1.449648000E+01 153 -9.13397500E+01 9.133975000E+01 1.366025000E+01 154 -1.07500870E+02 9.249913000E+01 -5.60540000E+00 155 -1.05201580E+02 9.185760000E+01 -6.47370000E+00 156 -1.02666000E+02 9.144651000E+01 -7.03040000E+00 157 -1.00000000E+02 9.130466000E+01 -7.22260000E+00 158 -9.73340000E+01 9.144651000E+01 -7.03040000E+00 159 -9.47984200E+01 9.185760000E+01 -6.47370000E+00 160 -9.24991300E+01 9.249913000E+01 -5.60540000E+00 161 -9.05035200E+01 9.331914000E+01 -4.49648000E+00 162 -1.08142400E+02 9.479842000E+01 -6.47370000E+00 163 -1.05746760E+02 9.425324000E+01 -7.60750000E+00 164 -1.02982220E+02 9.388745000E+01 -8.36950000E+00 165 -1.00000000E+02 9.375793000E+01 -8.63950000E+00 166 -9.70177800E+01 9.388745000E+01 -8.36950000E+00 167 -9.42532400E+01 9.425324000E+01 -7.60750000E+00 168 -9.18576000E+01 9.479842000E+01 -6.47370000E+00 169 -8.98917000E+01 9.545641000E+01 -5.10830000E+00 170 -1.08553490E+02 9.733400000E+01 -7.03040000E+00 171 -1.06112550E+02 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-8.93620804E+00 1.074676000E+01 761 2.865443373E+01 -6.09252245E+00 1.111255000E+01 762 2.850676132E+01 -3.10174862E+00 1.124207000E+01 763 2.782434412E+01 -1.86127966E-01 1.111255000E+01 764 2.668501024E+01 2.445457818E+00 1.074676000E+01 765 2.522883566E+01 4.659989152E+00 1.020158000E+01 766 2.654610829E+01 -1.09518856E+01 1.250087000E+01 767 2.708595873E+01 -8.55412815E+00 1.314240000E+01 768 2.728435644E+01 -5.96574658E+00 1.355349000E+01 769 2.710365049E+01 -3.29894298E+00 1.369534000E+01 770 2.654228546E+01 -6.85637234E-01 1.355349000E+01 771 2.563811870E+01 1.747789010E+00 1.314240000E+01 772 2.445826961E+01 3.903858475E+00 1.250087000E+01 45004 5.000000000E+00 1.000000000E+02 -5.00000000E+01 45005 5.000000000E+00 1.000000000E+02 6.000000000E+01 45010 1.500000000E+01 1.000000000E+02 -5.00000000E+01 45011 1.500000000E+01 1.000000000E+02 6.000000000E+01 $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ Extra Nodes for Beams $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ 45012 -8.83925000E+01 1.057467600E+02 -7.46760000E-01 45013 9.444594624E+00 8.495260182E+00 -1.11255000E+00 45014 -8.80996038E+01 9.496034978E+01 -7.46760000E-01 45015 1.816524677E+01 8.921481149E+00 -7.46760000E-01 45016 -8.80996068E+01 1.057467600E+02 1.003965322E+01 45017 9.446435484E+00 8.493592403E+00 1.104210976E+01 45018 -8.79698503E+01 9.483059027E+01 1.016940973E+01 45019 1.816697500E+01 8.920056610E+00 1.067986974E+01 $ $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $$$$ Define Nodes and Elements $ $$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$$ $ $...>....1....>....2....>....3....>....4....>....5....>....6....>....7....>....8 $ *ELEMENT_BEAM $ eid pid n1 n2 n3 45000 45 350 45004 45012 45001 45 678 45010 45013 45002 45 346 45004 45014 45003 45 681 45010 45015 45004 45 378 45005 45016 45005 45 710 45011 45017 45006 45 374 45005 45018 45007 45 713 45011 45019 $ *ELEMENT_SHELL $ eid pid n1 n2 n3 n4 1 1 1 10 11 2 2 1 2 11 12 3 3 1 3 12 13 4 4 1 4 13 14 5 5 1 5 14 15 6 6 1 6 15 16 7 7 1 7 16 17 8 8 1 8 17 18 9 9 1 10 19 20 11 10 1 11 20 21 12 11 1 12 21 22 13 12 1 13 22 23 14 13 1 14 23 24 15 14 1 15 24 25 16 15 1 16 25 26 17 16 1 17 26 27 18 17 1 19 28 29 20 18 1 20 29 30 21 19 1 21 30 31 22 20 1 22 31 32 23 21 1 23 32 33 24 22 1 24 33 34 25 23 1 25 34 35 26 24 1 26 35 36 27 25 1 28 37 38 29 26 1 29 38 39 30 27 1 30 39 40 31 28 1 31 40 41 32 29 1 32 41 42 33 30 1 33 42 43 34 31 1 34 43 44 35 32 1 35 44 45 36 33 1 37 46 47 38 34 1 38 47 48 39 35 1 39 48 49 40 36 1 40 49 50 41 37 1 41 50 51 42 38 1 42 51 52 43 39 1 43 52 53 44 40 1 44 53 54 45 41 1 46 55 56 47 42 1 47 56 57 48 43 1 48 57 58 49 44 1 49 58 59 50 45 1 50 59 60 51 46 1 51 60 61 52 47 1 52 61 62 53 48 1 53 62 63 54 49 1 55 64 65 56 50 1 56 65 66 57 51 1 57 66 67 58 52 1 58 67 68 59 53 1 59 68 69 60 54 1 60 69 70 61 55 1 61 70 71 62 56 1 62 71 72 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