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([4,5]. )Tj
-0.035 Tc 8.2656 0 0 8.3 396.43 505.89 Tm
(At )Tj
0.0037 Tc 8.3 0 0 8.3 407.73 505.89 Tm
(present, )Tj
-0.0159 Tc 3.575 0 Td
(all )Tj
0.05 Tc 8.3469 0 0 8.3 448.68 505.89 Tm
(of )Tj
-0.0095 Tc 8.3 0 0 8.3 458.82 505.89 Tm
(them )Tj
-0.0006 Tc 2.373 0 Td
(use )Tj
-0.035 Tc 8.0273 0 0 8.3 492.84 505.89 Tm
(an )Tj
0.0031 Tc 8.3 0 0 8.3 503.72 505.89 Tm
(updated )Tj
0.0068 Tc -24.207 -1.128 Td
(Lagrangian )Tj
0.0074 Tc 5.518 0 Td
(algorithm )Tj
0.0081 Tc 4.828 0 Td
(energetically )Tj
0.0111 Tc 6.16 0 Td
(associated )Tj
-0.0026 Tc 5.098 0 Td
(with )Tj
0.0261 Tc 2.652 0 Td
(Green's )Tj
0.0087 Tc -24.226 -1.158 Td
(Lagragian )Tj
-0.0204 Tc 4.476 0 Td
(finite )Tj
0.0066 Tc 2.367 0 Td
(strain )Tj
-0.0049 Tc 2.586 0 Td
(tensor, )Tj
-0.002 Tc 3.001 0 Td
(i.e., )Tj
0.0071 Tc 1.858 0 Td
(with )Tj
/T1_4 1 Tf
0.0169 Tc 8.7 0 0 8.7 438.88 486.92 Tm
(m=2, )Tj
/T1_0 1 Tf
-0.0075 Tc 8.3 0 0 8.3 460.92 486.92 Tm
(and )Tj
-0.0085 Tc 1.8 0 Td
(thus, )Tj
-0.035 Tc 8.2662 0 0 8.3 494.53 486.92 Tm
(in )Tj
0.005 Tc 8.3 0 0 8.3 503.65 486.92 Tm
(general, )Tj
0.015 Tc -24.204 -1.127 Td
(cannot )Tj
0.0099 Tc 3.211 0 Td
(give )Tj
0.0136 Tc 2.196 0 Td
(correct )Tj
0.0039 Tc 3.305 0 Td
(results )Tj
-0.0143 Tc 3.142 0 Td
(for )Tj
0.0115 Tc 1.658 0 Td
(homogenized )Tj
0.0102 Tc 6.001 0 Td
(soft-in-shear )Tj
0.0011 Tc 5.639 0 Td
(struc\255)Tj
-0.0006 Tc -25.116 -1.158 Td
(tures )Tj
-0.0072 Tc 2.32 0 Td
([5]. )Tj
0.0187 Tc 9.5 0 0 9.5 303.22 450.69 Tm
(Conclusion )Tj
0.0124 Tc 8.3 0 0 8.3 311.17 437.73 Tm
(The )Tj
0.0038 Tc 2.002 0 Td
(recent )Tj
0.0096 Tc 2.854 0 Td
(conclusion )Tj
0.003 Tc 4.836 0 Td
(that )Tj
-0.0143 Tc 1.9 0 Td
(for )Tj
0.0126 Tc 1.558 0 Td
(soft-in-shear )Tj
0.0097 Tc 5.581 0 Td
(sandwich )Tj
0.0077 Tc 4.255 0 Td
(columns )Tj
-0.035 Tc 8.2662 0 0 8.3 303.01 428.36 Tm
(in )Tj
0.0074 Tc 8.3 0 0 8.3 313.04 428.36 Tm
(small-strain )Tj
-0.0075 Tc 5.239 0 Td
(and )Tj
-0.035 Tc 8.2662 0 0 8.3 372.13 428.36 Tm
(in )Tj
-0.0016 Tc 8.3 0 0 8.3 382.02 428.36 Tm
(the )Tj
0.0053 Tc 1.7 0 Td
(linear )Tj
0.0074 Tc 2.716 0 Td
(elastic )Tj
0.0092 Tc 3.046 0 Td
(range )Tj
-0.0016 Tc 2.688 0 Td
(the )Tj
-0.0004 Tc 1.67 0 Td
(critical )Tj
0.0004 Tc 3.269 0 Td
(load )Tj
-0.0137 Tc 2.169 0 Td
(is )Tj
0.0101 Tc -26.737 -1.127 Td
(predicted )Tj
0.0071 Tc 4.355 0 Td
(correctly )Tj
-0.0073 Tc 4.204 0 Td
(by )Tj
0.0226 Tc 1.612 0 Td
(Engesser's )Tj
-0.0002 Tc 4.996 0 Td
(\(but )Tj
-0.0007 Tc 2.18 0 Td
(not )Tj
0.0158 Tc 1.905 0 Td
(Haringx's\) )Tj
-0.0002 Tc 4.967 0 Td
(formula )Tj
-0.0026 Tc -24.222 -1.157 Td
(with )Tj
0 Tc 2.276 0 Td
(a )Tj
0.0065 Tc 0.896 0 Td
(constant )Tj
0.0143 Tc 3.87 0 Td
(shear )Tj
0.01 Tc 2.614 0 Td
(modulus )Tj
0.05 Tc 8.6251 0 0 8.3 416.52 409.41 Tm
(of )Tj
0.0024 Tc 8.3 0 0 8.3 427.56 409.41 Tm
(core )Tj
-0.035 Tc 8.1972 0 0 8.3 446.05 409.41 Tm
(is )Tj
-0.0031 Tc 8.3 0 0 8.3 455.6 409.41 Tm
(shown )Tj
-0.0228 Tc 3.135 0 Td
(to )Tj
-0.0081 Tc 1.247 0 Td
(be )Tj
-0.035 Tc 8.2662 0 0 8.3 503.89 409.41 Tm
(in )Tj
0.0033 Tc 8.3 0 0 8.3 513.97 409.41 Tm
(good )Tj
0.0128 Tc -25.389 -1.129 Td
(agreement )Tj
-0.0122 Tc 4.635 0 Td
(with )Tj
0.0096 Tc 2.14 0 Td
(recent )Tj
0.0117 Tc 2.853 0 Td
(extensive )Tj
0.0014 Tc 4.259 0 Td
(test )Tj
0.0007 Tc 1.765 0 Td
(results. )Tj
0.0214 Tc 9.5 0 0 9.5 303.3 383.01 Tm
(Acknowledgment )Tj
0.0039 Tc 8.3 0 0 8.3 311.92 369.81 Tm
(Financial )Tj
0.0104 Tc 4.125 0 Td
(support )Tj
0.0095 Tc 3.427 0 Td
(under )Tj
0.0133 Tc 2.651 0 Td
(Grant )Tj
-0.0276 Tc 2.704 0 Td
(No. )Tj
-0.0278 Tc 1.851 0 Td
(NOOO14\26702\267I\267\(\)622 )Tj
-0.0179 Tc 8.081 0 Td
(from )Tj
-0.0016 Tc 2.322 0 Td
(the )Tj
0.0032 Tc -26.234 -1.128 Td
(Office )Tj
0.05 Tc 8.6251 0 0 8.3 327.24 360.45 Tm
(of )Tj
-0.0035 Tc 8.3 0 0 8.3 337.44 360.45 Tm
(Naval )Tj
0.0062 Tc 2.824 0 Td
(Research )Tj
-0.035 Tc 8.112 0 0 8.3 395.22 360.45 Tm
(to )Tj
0.0076 Tc 8.3 0 0 8.3 404.88 360.45 Tm
(Northwestern )Tj
0.0074 Tc 5.951 0 Td
(University )Tj
0.0068 Tc 4.731 0 Td
(\(monitored )Tj
0.0217 Tc -22.917 -1.128 Td
(by )Tj
-0.035 Tc 7.8789 0 0 8.3 315.04 351.09 Tm
(Dr. )Tj
8.298 0 0 8.3 328.26 351.09 Tm
(Yapa )Tj
8.0831 0 0 8.3 348.16 351.09 Tm
(D. )Tj
8.1472 0 0 8.3 359.09 351.09 Tm
(S. )Tj
0.0052 Tc 8.3 0 0 8.3 369.04 351.09 Tm
(Rajapakse\) )Tj
-0.035 Tc 8.1972 0 0 8.3 409.81 351.09 Tm
(is )Tj
0.0103 Tc 8.3 0 0 8.3 418.21 351.09 Tm
(gratefully )Tj
0.0052 Tc 4.394 0 Td
(acknowledged. )Tj
0.0154 Tc 9.5 0 0 9.5 303.52 330.45 Tm
(References )Tj
0.05 Tc 6.7695 0 0 6.4001 309.88 319.89 Tm
([I] )Tj
-0.0217 Tc 6.4001 0 0 6.4001 320.57 319.89 Tm
(BaZanl, )Tj
-0.0228 Tc 3.452 0 Td
(Z. )Tj
0 Tc 1.273 0 Td
(P )Tj
-0.035 Tc 6.2501 0 0 6.4001 353.83 319.89 Tm
(.. )Tj
-0.0046 Tc 6.4001 0 0 6.4001 359.44 319.89 Tm
(2003. )Tj
0.0337 Tc 2.612 0 Td
("Shear )Tj
0.0155 Tc 3.239 0 Td
(Buckling )Tj
0.0499 Tc 4.158 0 Td
(of )Tj
0.0195 Tc 1.192 0 Td
(Sandwich, )Tj
0.0131 Tc 4.775 0 Td
(Fiber-Composite )Tj
-0.0222 Tc 7.345 0 Td
(and )Tj
-0.0003 Tc 1.842 0 Td
(Lat\255)Tj
-0.0124 Tc -31.24 -1.162 Td
(lice )Tj
0.0143 Tc 1.948 0 Td
(Columns. )Tj
0.0154 Tc 4.467 0 Td
(Bearings )Tj
0.0153 Tc 4.158 0 Td
(and )Tj
0.0028 Tc 2.03 0 Td
(Helical )Tj
0.0191 Tc 3.436 0 Td
(Splings: )Tj
0.013 Tc 3.989 0 Td
(Paradox )Tj
0.014 Tc 3.9 0 Td
(Resolved." )Tj
0.0138 Tc 5.066 0 Td
(ASME )Tj
-0.035 Tc 6.0418 0 0 6.5001 527.21 312.45 Tm
(J. )Tj
-0.0077 Tc 6.4001 0 0 6.4001 320.59 304.76 Tm
(Appl. )Tj
-0.0048 Tc 2.697 0 Td
(Mech )Tj
-0.035 Tc 6.2501 0 0 6.4001 352.87 304.76 Tm
(.. )Tj
0.0061 Tc 6.4001 0 0 6.4001 359.65 304.76 Tm
(70, )Tj
-0.0205 Tc 1.662 0 Td
(pp. )Tj
0.05 Tc 6.4094 0 0 6.4001 380.77 304.76 Tm
(75-83. )Tj
-0.0115 Tc 6.5001 0 0 6.5001 309.89 297.32 Tm
([2] )Tj
-0.0217 Tc 6.4001 0 0 6.4001 320.57 297.32 Tm
(BaZant, )Tj
-0.035 Tc 6.4965 0 0 6.5001 343.14 297.32 Tm
(Z. )Tj
0 Tc 6.4001 0 0 6.4001 351.77 297.32 Tm
(P )Tj
-0.035 Tc 6.2501 0 0 6.4001 354.79 297.32 Tm
(.. )Tj
6.3595 0 0 6.4001 361.18 297.32 Tm
(197 )Tj
0.0354 Tc 6.4001 0 0 6.4001 371.48 297.32 Tm
(\\, )Tj
0.0338 Tc 1.069 0 Td
("A )Tj
0.016 Tc 1.584 0 Td
[(Correlation )-170(Study )]TJ
0.05 Tc 6.6775 0 0 6.4001 439.82 297.32 Tm
(of )Tj
-0.0244 Tc 6.4001 0 0 6.4001 448.24 297.32 Tm
(IncremellUlI )Tj
0.0134 Tc 5.401 0 Td
(Deformations )Tj
-0.0222 Tc 6.108 0 Td
(and )Tj
-0.0105 Tc -31.507 -1.2 Td
(StahililY )Tj
0.05 Tc 6.6775 0 0 6.4001 345.02 289.64 Tm
(of )Tj
0.0195 Tc 6.4001 0 0 6.4001 352.7 289.64 Tm
(Continuous )Tj
0.0216 Tc 5.18 0 Td
(Bodies," )Tj
0.0263 Tc 3.978 0 Td
(ASME )Tj
-0.035 Tc 6.4446 0 0 6.5001 431.69 289.64 Tm
(J. )Tj
-0.0217 Tc 6.4001 0 0 6.4001 438.19 289.64 Tm
(App!. )Tj
0.0021 Tc 2.697 0 Td
(Mech., )Tj
0.0027 Tc 6.5001 0 0 6.5001 477.25 289.64 Tm
(38, )Tj
-0.0017 Tc 6.4001 0 0 6.4001 487.89 289.64 Tm
(pp. )Tj
0.0244 Tc 6.5001 0 0 6.5001 498.61 289.64 Tm
(919-928. )Tj
-0.0115 Tc -28.996 -1.145 Td
([3] )Tj
-0.0217 Tc 6.4001 0 0 6.4001 320.81 282.2 Tm
(BaZant, )Tj
-0.035 Tc 6.4965 0 0 6.5001 342.66 282.2 Tm
(Z. )Tj
0 Tc 6.4001 0 0 6.4001 350.81 282.2 Tm
(P )Tj
-0.035 Tc 5.6819 0 0 6.4001 353.84 282.2 Tm
(.. )Tj
-0.0035 Tc 6.4001 0 0 6.4001 358.94 282.2 Tm
(and )Tj
0.0137 Tc 1.8 0 Td
(Cedolin, )Tj
/T1_2 1 Tf
0.0227 Tc 6.2 0 0 6.2 395.35 282.2 Tm
(L., )Tj
/T1_0 1 Tf
-0.0009 Tc 6.4001 0 0 6.4001 405.34 282.2 Tm
(1991, )Tj
/T1_4 1 Tf
0.0046 Tc 2.583 0 Td
(Stabiliry )Tj
0.05 Tc 7.4359 0 0 6.4001 446.3 282.2 Tm
(of )Tj
-0.0063 Tc 6.4001 0 0 6.4001 453.55 282.2 Tm
(Srruetures: )Tj
-0.0211 Tc 4.922 0 Td
(Elasrie. )Tj
-0.0102 Tc 3.478 0 Td
([ne/astie. )Tj
0.0035 Tc -29.128 -1.198 Td
(Fracture )Tj
0.0419 Tc 3.961 0 Td
(and )Tj
0.0119 Tc 1.966 0 Td
(Damage )Tj
0.0089 Tc 3.833 0 Td
(Theories, )Tj
/T1_0 1 Tf
0.0118 Tc 4.286 0 Td
(Oxford )Tj
0.0069 Tc 3.42 0 Td
(University )Tj
-0.0039 Tc 4.722 0 Td
(Press, )Tj
-0.006 Tc 2.784 0 Td
(New )Tj
-0.035 Tc 6.2619 0 0 6.4001 495.79 274.53 Tm
(York; )Tj
-0.0222 Tc 6.4001 0 0 6.4001 512.54 274.53 Tm
(and )Tj
-0.0106 Tc 1.845 0 Td
(re\255)Tj
0.0128 Tc -31.834 -1.2 Td
(publication )Tj
-0.003 Tc 5.022 0 Td
(with )Tj
0.0105 Tc 2.177 0 Td
(updates, )Tj
-0.0197 Tc 3.82 0 Td
(Dovel'. )Tj
-0.0248 Tc 3.197 0 Td
(New )Tj
-0.0213 Tc 2.244 0 Td
(York. )Tj
0.0047 Tc 2.62 0 Td
(2003. )Tj
0.007 Tc 6.5001 0 0 6.5001 309.89 259.41 Tm
([4] )Tj
0.0338 Tc 6.4001 0 0 6.4001 320.81 259.41 Tm
(Baiant. )Tj
0.0015 Tc 6.5001 0 0 6.5001 342.66 259.41 Tm
(Z. )Tj
0 Tc 6.4001 0 0 6.4001 351.05 259.41 Tm
(P )Tj
-0.035 Tc 6.2501 0 0 6.4001 354.07 259.41 Tm
(.. )Tj
-0.0035 Tc 6.4001 0 0 6.4001 359.42 259.41 Tm
(and )Tj
0.0137 Tc 1.88 0 Td
(Beghini, )Tj
-0.0081 Tc 3.903 0 Td
(A., )Tj
-0.0039 Tc 6.5001 0 0 6.5001 406.96 259.41 Tm
(2004. )Tj
0.0237 Tc 6.4001 0 0 6.4001 424.16 259.41 Tm
("Sandwich )Tj
0.0102 Tc 4.964 0 Td
(Buckling )Tj
0.0096 Tc 4.162 0 Td
(Formulas )Tj
-0.0035 Tc 4.27 0 Td
(and )Tj
-0.035 Tc 5.5364 0 0 6.4001 521.47 259.41 Tm
(AI" )Tj
0.0124 Tc 6.4001 0 0 6.4001 320.61 251.96 Tm
(plicability )Tj
0.0499 Tc 4.601 0 Td
(of )Tj
0.0171 Tc 1.228 0 Td
(Standard )Tj
0.0164 Tc 4.097 0 Td
(Computational )Tj
0.0147 Tc 6.533 0 Td
(Algorithm )Tj
0.0074 Tc 4.716 0 Td
(for )Tj
0.0099 Tc 1.619 0 Td
(Finite )Tj
0.0488 Tc 2.762 0 Td
(Strain:' )Tj
0.0253 Tc 3.608 0 Td
(Compos\267 )Tj
-0.0018 Tc -29.135 -1.198 Td
(ites, )Tj
0.0063 Tc 2.028 0 Td
(Part )Tj
-0.035 Tc 6.1439 0 0 6.4001 346.73 244.29 Tm
(B. )Tj
0.0122 Tc 6.4001 0 0 6.4001 356.29 244.29 Tm
(35, )Tj
-0.0346 Tc 1.656 0 Td
(PI'. )Tj
-0.0118 Tc 1.678 0 Td
(573--581. )Tj
0.007 Tc 6.5001 0 0 6.5001 309.89 237.09 Tm
([5] )Tj
-0.0217 Tc 6.4001 0 0 6.4001 320.81 237.09 Tm
(BaZant, )Tj
-0.035 Tc 6.4965 0 0 6.5001 342.9 237.09 Tm
(Z. )Tj
5.9342 0 0 6.4001 351.3 237.09 Tm
(P., )Tj
-0.0035 Tc 6.4001 0 0 6.4001 359.9 237.09 Tm
(and )Tj
0.0084 Tc 1.917 0 Td
(Bcghini, )Tj
-0.0268 Tc 3.941 0 Td
(A., )Tj
0.0047 Tc 1.645 0 Td
(2004. )Tj
0.0205 Tc 2.687 0 Td
("Stability )Tj
-0.0035 Tc 4.397 0 Td
(and )Tj
0.0099 Tc 1.88 0 Td
(Finite )Tj
0.0097 Tc 2.798 0 Td
(Strain )Tj
0.05 Tc 6.6775 0 0 6.4001 501.5 237.09 Tm
(of )Tj
0.0108 Tc 6.4001 0 0 6.4001 509.45 237.09 Tm
(Homog\255)Tj
0.0228 Tc -29.556 -1.2 Td
(enized )Tj
0.0162 Tc 3.106 0 Td
(Structures )Tj
0.0312 Tc 4.536 0 Td
(Soft )Tj
-0.035 Tc 6.2823 0 0 6.4001 382.95 229.41 Tm
(in )Tj
0.0065 Tc 6.4001 0 0 6.4001 390.33 229.41 Tm
(Shear: )Tj
0.0151 Tc 3.037 0 Td
(Sandwich )Tj
0.0124 Tc 4.47 0 Td
(or )Tj
0.0114 Tc 1.242 0 Td
(Fiber )Tj
0.0116 Tc 2.545 0 Td
(Composites, )Tj
-0.0035 Tc 5.512 0 Td
(and )Tj
0.0067 Tc 1.88 0 Td
(Layered )Tj
0.0216 Tc -29.587 -1.164 Td
(Bodies," )Tj
0.012 Tc 3.897 0 Td
(Theoretical )Tj
-0.0035 Tc 5.061 0 Td
(and )Tj
0.0082 Tc 1.808 0 Td
(Applied )Tj
0.0136 Tc 3.672 0 Td
(Mechanics )Tj
0.0192 Tc 4.8 0 Td
(Report )Tj
-0.0235 Tc 3.197 0 Td
(No. )Tj
0.0317 Tc 1.786 0 Td
(04\26703/C44 )Tj
-0.0099 Tc 4.653 0 Td
(Is. )Tj
0.0161 Tc 1.361 0 Td
(North\267 )Tj
0.0079 Tc -30.156 -1.198 Td
(western )Tj
0.0037 Tc 3.525 0 Td
(University, )Tj
0.0117 Tc 4.947 0 Td
(Evanston, )Tj
-0.0214 Tc 4.498 0 Td
(IL; )Tj
0.0174 Tc 1.572 0 Td
(also )Tj
-0.0109 Tc 2.066 0 Td
(Int. )Tj
-0.035 Tc 6.0418 0 0 6.8001 438.41 214.29 Tm
(J. )Tj
0.0096 Tc 6.4001 0 0 6.4001 445.05 214.29 Tm
(Solids )Tj
0.0105 Tc 2.925 0 Td
(Struct., )Tj
-0.0205 Tc 3.381 0 Td
(\(in )Tj
0.0058 Tc 1.475 0 Td
(press\). )Tj
0.007 Tc 6.5001 0 0 6.5001 310.13 206.85 Tm
([6] )Tj
-0.031 Tc 6.4001 0 0 6.4001 321.05 206.85 Tm
(BaZan!, )Tj
-0.035 Tc 6.4965 0 0 6.5001 343.38 206.85 Tm
(Z. )Tj
/T1_2 1 Tf
0 Tc 6.1 0 0 6.1 351.68 206.85 Tm
(p )Tj
-0.035 Tc 5.6695 0 0 6.1 354.77 206.85 Tm
(.. )Tj
/T1_0 1 Tf
-0.0093 Tc 6.5001 0 0 6.5001 360.94 206.85 Tm
(1998. )Tj
0.023 Tc 6.4001 0 0 6.4001 377.84 206.85 Tm
("Easy-to-Compute )Tj
0.0067 Tc 8.186 0 Td
(Tensors )Tj
-0.003 Tc 3.681 0 Td
(with )Tj
0.0189 Tc 2.234 0 Td
(Symmetric )Tj
0.0123 Tc 4.961 0 Td
(Inverse )Tj
-0.0058 Tc 3.38 0 Td
(Ap\255)Tj
0.04 Tc -31.346 -1.2 Td
(pro.imating )Tj
0.0106 Tc 5.469 0 Td
(Hencky )Tj
0.0024 Tc 3.6 0 Td
(Finite )Tj
0.0172 Tc 2.762 0 Td
(Strain )Tj
-0.0035 Tc 2.895 0 Td
(and )Tj
-0.0134 Tc 1.877 0 Td
(its )Tj
0.0131 Tc 1.391 0 Td
(Rale," )Tj
0.0263 Tc 2.966 0 Td
(ASME )Tj
-0.035 Tc 6.4446 0 0 6.5001 475.85 199.17 Tm
(J. )Tj
-0.0032 Tc 6.4001 0 0 6.4001 482.57 199.17 Tm
(Eng. )Tj
-0.0224 Tc 2.362 0 Td
(Mater. )Tj
0.0145 Tc 2.959 0 Td
(Tech\267 )Tj
-0.0028 Tc -30.593 -1.2 Td
(nol., )Tj
-0.0141 Tc 6.6 0 0 6.6 336.45 191.49 Tm
(120. )Tj
-0.0017 Tc 6.4001 0 0 6.4001 350.13 191.49 Tm
(pp. )Tj
0.0074 Tc 6.6 0 0 6.6 361.17 191.49 Tm
(131-136. )Tj
0.0159 Tc 6.4001 0 0 6.4001 310.13 183.81 Tm
([7] )Tj
0.0124 Tc 1.669 0 Td
(Plantema, )Tj
-0.035 Tc 5.4122 0 0 6.5001 349.86 183.81 Tm
(F. )Tj
0.0096 Tc 6.4001 0 0 6.4001 356.81 183.81 Tm
(J., )Tj
-0.0103 Tc 1.433 0 Td
(1966, )Tj
/T1_4 1 Tf
0.0166 Tc 2.62 0 Td
(Sandwich )Tj
-0.0206 Tc 4.483 0 Td
(COllsrruction: )Tj
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