Wall clock time and date at job start Tue Mar 31 2020 05:46:29 AMSOL-version 7.1 by G. D. Hawkins, D. J. Giesen, G. C. Lynch, C. C. Chambers, I. Rossi, J. W. Storer, J. Li, J. D. Thompson, P. Winget, B. J. Lynch, D. Rinaldi, D. A. Liotard, C. J. Cramer, and D. G. Truhlar Copyright 2004 by Regents of the University of Minnesota. All rights reserved. Notice: recipients of this code are asked to comply with the user agreement in Section 1 of the documentation file. ******************************************************************************* * 1SCF - SCF CALCULATION WITHOUT GEOMETRY OPTIMIZATION * - USE EF ROUTINE FOR MINIMUM SEARCH (DEFAULT) * GEO-OK - OVERRIDE INTERATOMIC DISTANCE CHECK * TLIMIT= - A TIME OF 15. SECONDS REQUESTED * CHARGE - CHARGE ON SYSTEM= -1 * AM1 - THE AM1 HAMILTONIAN TO BE USED * DEV - DEVELOPER OPTIONS ARE ALLOWED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS USER-SPECIFIED * DIELEC - THE SOLVENT DIELECTRIC CONSTANT IS 2.06 * IOFR - THE SOLVENT INDEX OF REFRACTION IS 1.4345 * ALPHA - THE SOLVENT ALPHA IS 0.00 * BETA - THE SOLVENT BETA IS 0.00 * GAMMA - THE SOLVENT MACROSCOPIC SURFACE TENSION IS * 38.93 CAL MOL^-1 ANGSTROM^-2 * FACARB - THE FRACTION OF AROMATIC CARBONS IS 0.00 * FEHALO - THE FRACTION OF ELECTRONEGATIVE HALOGENS IS 0.00 ******************************************************************************* Atom NO. Chemical Bond length Bond angle Dihedral angle number (k) symbol (angstroms) (degrees) (degrees) (I) NA:I NB:NA:I NC:NB:NA:I NA NB NC 1 1 C 2 2 C 1.52997 * 1 3 3 C 1.53000 * 109.47188 * 2 1 4 4 H 1.09004 * 109.47131 * 305.00119 * 3 2 1 5 5 C 1.50702 * 109.47245 * 185.00230 * 3 2 1 6 6 H 1.08002 * 120.00299 * 240.00501 * 5 3 2 7 7 C 1.37884 * 119.99942 * 59.72060 * 5 3 2 8 8 N 1.31514 * 119.99698 * 0.28408 * 7 5 3 9 9 Si 1.86794 * 119.99837 * 180.27476 * 7 5 3 10 10 H 1.48501 * 109.47188 * 90.00793 * 9 7 5 11 11 H 1.48501 * 109.47085 * 210.00372 * 9 7 5 12 12 H 1.48498 * 109.47634 * 330.00608 * 9 7 5 13 13 N 1.46491 * 109.47268 * 65.00268 * 3 2 1 14 14 C 1.34780 * 120.00170 * 275.00492 * 13 3 2 15 15 O 1.21281 * 119.99806 * 359.97438 * 14 13 3 16 16 C 1.50700 * 120.00091 * 180.02562 * 14 13 3 17 17 H 1.08999 * 109.47582 * 59.99209 * 16 14 13 18 18 N 1.46503 * 109.47106 * 179.97438 * 16 14 13 19 19 C 1.34773 * 119.99947 * 205.00210 * 18 16 14 20 20 O 1.21513 * 120.00111 * 359.97438 * 19 18 16 21 21 O 1.34639 * 119.99993 * 180.02562 * 19 18 16 22 22 C 1.45197 * 117.00110 * 179.97438 * 21 19 18 23 23 C 1.52998 * 109.47053 * 59.99748 * 22 21 19 24 24 C 1.53003 * 109.47276 * 179.97438 * 22 21 19 25 25 C 1.53001 * 109.47264 * 299.99808 * 22 21 19 26 26 C 1.53001 * 109.46950 * 299.99510 * 16 14 13 27 27 C 1.53787 * 113.61110 * 277.49682 * 26 16 14 28 28 C 1.53778 * 87.08233 * 220.01800 * 27 26 16 29 29 C 1.53781 * 113.61436 * 180.02562 * 26 16 14 30 30 H 1.09005 * 109.46737 * 299.99648 * 1 2 3 31 31 H 1.08996 * 109.47100 * 59.99805 * 1 2 3 32 32 H 1.08994 * 109.47398 * 180.02562 * 1 2 3 33 33 H 1.09005 * 109.46737 * 240.00352 * 2 1 3 34 34 H 1.08996 * 109.47570 * 120.00444 * 2 1 3 35 35 H 0.97005 * 119.99651 * 179.97438 * 8 7 5 36 36 H 0.97002 * 120.00109 * 94.99223 * 13 3 2 37 37 H 0.97001 * 119.99751 * 24.99368 * 18 16 14 38 38 H 1.08998 * 109.47398 * 60.00436 * 23 22 21 39 39 H 1.09001 * 109.46854 * 179.97438 * 23 22 21 40 40 H 1.09004 * 109.47278 * 299.99995 * 23 22 21 41 41 H 1.08999 * 109.46615 * 59.99942 * 24 22 21 42 42 H 1.08995 * 109.47083 * 180.02562 * 24 22 21 43 43 H 1.09001 * 109.46942 * 300.00518 * 24 22 21 44 44 H 1.08999 * 109.46775 * 59.99641 * 25 22 21 45 45 H 1.08995 * 109.47292 * 179.97438 * 25 22 21 46 46 H 1.09004 * 109.46699 * 300.00404 * 25 22 21 47 47 H 1.08997 * 112.84839 * 48.80319 * 26 16 14 48 48 H 1.08997 * 113.61751 * 334.57197 * 27 26 16 49 49 H 1.09005 * 113.61103 * 105.47257 * 27 26 16 50 50 H 1.08999 * 113.61900 * 270.89107 * 28 27 26 51 51 H 1.08995 * 113.69208 * 139.99053 * 28 27 26 52 52 H 1.08994 * 113.61571 * 254.52936 * 29 26 16 53 53 H 1.09009 * 113.61530 * 25.43092 * 29 26 16 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 6 0.0000 0.0000 0.0000 2 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.6053 1.9816 -0.8418 5 6 3.5419 1.4443 -0.1239 6 1 4.1473 1.8888 0.6522 7 6 4.1435 0.8733 -1.2254 8 7 3.4063 0.3320 -2.1705 9 14 6.0054 0.8687 -1.3752 10 1 6.5494 -0.3632 -0.7494 11 1 6.3866 0.9048 -2.8100 12 1 6.5606 2.0609 -0.6854 13 7 1.6525 2.0974 1.2517 14 6 0.4352 2.6643 1.3670 15 8 -0.3393 2.6326 0.4342 16 6 0.0368 3.3386 2.6546 17 1 0.7282 4.1541 2.8668 18 7 -1.3218 3.8716 2.5266 19 6 -1.7134 4.9094 3.2922 20 8 -0.9397 5.4026 4.0889 21 8 -2.9621 5.3989 3.1750 22 6 -3.3150 6.5169 4.0317 23 6 -2.3827 7.6950 3.7425 24 6 -4.7617 6.9327 3.7576 25 6 -3.1722 6.1014 5.4973 26 6 0.0809 2.3222 3.7973 27 6 -1.1841 1.4536 3.8983 28 6 -1.0676 1.5997 5.4246 29 6 -0.3114 2.9125 5.1621 30 1 -0.3633 0.5138 0.8901 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3634 -1.0276 0.0005 33 1 1.8933 -0.5138 -0.8901 34 1 1.8934 -0.5139 0.8899 35 1 3.8295 -0.0694 -2.9455 36 1 2.2720 2.1230 1.9978 37 1 -1.9394 3.4777 1.8908 38 1 -2.4844 7.9912 2.6985 39 1 -2.6479 8.5345 4.3853 40 1 -1.3519 7.3991 3.9375 41 1 -5.4261 6.0935 3.9633 42 1 -5.0264 7.7722 4.4003 43 1 -4.8630 7.2288 2.7135 44 1 -2.1415 5.8054 5.6922 45 1 -3.4367 6.9407 6.1403 46 1 -3.8364 5.2619 5.7032 47 1 1.0082 1.7498 3.8191 48 1 -2.0730 1.9266 3.4809 49 1 -1.0417 0.4321 3.5453 50 1 -0.4549 0.8286 5.8917 51 1 -2.0253 1.7405 5.9255 52 1 0.5358 3.0692 5.8298 53 1 -0.9619 3.7842 5.0902 RHF calculation, no. of doubly occupied orbitals= 66 REFERENCES FOR PARAMETERS IN GAS-PHASE HAMILTONIAN: H: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) C: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) N: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) O: (AM1): M.J.S. DEWAR ET AL, J. AM. CHEM. SOC. 107 3902-3909 (1985) Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). REFERENCE FOR CHARGE MODEL 2: J. Li, J. Xing, C. J. Cramer, and D. G. Truhlar, J. Chem. Phys. 111 (1999) 885. REFERENCE FOR THE PARAMETERIZATION OF THE SM5.42R SOLVATION MODEL: J. Li, T. Zhu, G. D. Hawkins, P. Winget, D. A. Liotard, C. J. Cramer, and D. G. Truhlar, Theor. Chem. Acc. 103 (1999) 9-63 P. Winget, J. D. Thompson C. J. Cramer,and D. G. Truhlar, J. Phys. Chem. B. submitted. CHARGE=-1 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC000408521839.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 05:46:29 Heat of formation + Delta-G solvation = -103.646461 kcal Electronic energy + Delta-G solvation = -32216.747280 eV Core-core repulsion = 28089.290574 eV Total energy + Delta-G solvation = -4127.456706 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -41.19513 -39.77873 -38.24571 -36.94015 -35.28197 -34.45808 -33.66655 -32.49003 -31.10134 -28.87984 -27.60056 -27.54459 -26.78342 -25.52941 -24.00974 -23.15295 -22.21742 -20.31949 -20.16370 -19.50918 -19.04064 -18.44795 -17.16649 -16.71956 -16.47606 -15.79685 -15.64033 -15.37405 -15.11702 -14.84174 -14.55469 -14.41877 -14.08318 -13.76728 -13.54236 -12.98425 -12.73699 -12.71127 -12.60638 -12.49750 -12.27475 -12.05650 -12.00085 -11.93194 -11.71016 -11.57560 -11.47975 -11.42821 -11.27866 -11.03212 -10.86830 -10.73964 -10.54973 -10.35557 -10.29894 -10.22897 -10.17698 -9.99618 -9.66060 -9.27489 -9.08517 -8.85360 -8.53407 -7.91424 -6.15596 -4.25124 2.09250 2.80541 3.21956 3.23739 3.30078 3.32063 3.89173 4.16758 4.33525 4.53503 4.58157 4.66560 4.72273 4.73570 4.82974 4.94321 5.16041 5.26646 5.28531 5.33979 5.35078 5.48087 5.49794 5.56182 5.63378 5.68328 5.69522 5.78679 5.79369 5.90378 5.98921 6.05571 6.12452 6.15718 6.26064 6.35497 6.38949 6.42119 6.46772 6.61494 6.63327 6.99939 7.14505 7.30183 7.36538 7.48562 7.57398 7.67579 7.85352 8.13959 8.37776 8.56989 8.71692 9.00285 9.42050 10.89595 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016911 B = 0.002850 C = 0.002750 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1655.370295 B = 9822.128545 C =10178.633388 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.137 4.137 2 C -0.127 4.127 3 C 0.272 3.728 4 H 0.050 0.950 5 C -0.535 4.535 6 H 0.062 0.938 7 C 0.067 3.933 8 N -0.882 5.882 9 Si 0.901 3.099 10 H -0.279 1.279 11 H -0.285 1.285 12 H -0.273 1.273 13 N -0.699 5.699 14 C 0.502 3.498 15 O -0.544 6.544 16 C 0.151 3.849 17 H 0.113 0.887 18 N -0.684 5.684 19 C 0.655 3.345 20 O -0.566 6.566 21 O -0.364 6.364 22 C 0.137 3.863 23 C -0.184 4.184 24 C -0.141 4.141 25 C -0.183 4.183 26 C -0.120 4.120 27 C -0.132 4.132 28 C -0.143 4.143 29 C -0.142 4.142 30 H 0.039 0.961 31 H 0.049 0.951 32 H 0.022 0.978 33 H 0.099 0.901 34 H 0.031 0.969 35 H 0.265 0.735 36 H 0.390 0.610 37 H 0.415 0.585 38 H 0.059 0.941 39 H 0.068 0.932 40 H 0.090 0.910 41 H 0.066 0.934 42 H 0.079 0.921 43 H 0.067 0.933 44 H 0.090 0.910 45 H 0.068 0.932 46 H 0.059 0.941 47 H 0.105 0.895 48 H 0.081 0.919 49 H 0.068 0.932 50 H 0.077 0.923 51 H 0.061 0.939 52 H 0.063 0.937 53 H 0.104 0.896 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.769 8.330 15.133 21.481 Note: The Mulliken population analysis charges presented below were not used in the solvation calculation but are provided for completeness. The chosen solvation model uses CM2 partial charges for calculating solvation energies. Net atomic charges, atomic populations, and dipole contributions using Mulliken population analysis Atom NO. Type Charge No. of electrons 1 C -0.195 4.195 2 C -0.166 4.166 3 C 0.170 3.830 4 H 0.068 0.932 5 C -0.574 4.574 6 H 0.080 0.920 7 C -0.136 4.136 8 N -0.519 5.519 9 Si 0.728 3.272 10 H -0.205 1.205 11 H -0.211 1.211 12 H -0.198 1.198 13 N -0.346 5.346 14 C 0.286 3.714 15 O -0.423 6.423 16 C 0.043 3.957 17 H 0.131 0.869 18 N -0.344 5.344 19 C 0.408 3.592 20 O -0.457 6.457 21 O -0.278 6.278 22 C 0.100 3.900 23 C -0.241 4.241 24 C -0.198 4.198 25 C -0.241 4.241 26 C -0.140 4.140 27 C -0.169 4.169 28 C -0.181 4.181 29 C -0.179 4.179 30 H 0.058 0.942 31 H 0.068 0.932 32 H 0.041 0.959 33 H 0.117 0.883 34 H 0.050 0.950 35 H 0.075 0.925 36 H 0.223 0.777 37 H 0.253 0.747 38 H 0.078 0.922 39 H 0.087 0.913 40 H 0.108 0.892 41 H 0.085 0.915 42 H 0.097 0.903 43 H 0.086 0.914 44 H 0.108 0.892 45 H 0.087 0.913 46 H 0.078 0.922 47 H 0.123 0.877 48 H 0.100 0.900 49 H 0.087 0.913 50 H 0.095 0.905 51 H 0.080 0.920 52 H 0.082 0.918 53 H 0.122 0.878 Dipole moment (debyes) X Y Z Total from point charges -12.963 8.495 14.645 21.324 hybrid contribution 1.106 -0.230 -0.058 1.132 sum -11.857 8.265 14.587 20.535 Atomic orbital electron populations 1.21845 0.98342 0.98078 1.01221 1.21930 0.92615 0.99692 1.02354 1.18822 0.94275 0.89183 0.80697 0.93223 1.21227 0.90635 1.38999 1.06498 0.92024 1.24877 0.98617 0.94766 0.95358 1.69892 1.35136 1.37440 1.09429 0.86458 0.84852 0.78474 0.77395 1.20541 1.21087 1.19826 1.46433 1.14138 1.55339 1.18737 1.20113 0.83414 0.79665 0.88235 1.90678 1.51459 1.59977 1.40146 1.20729 0.83127 0.97473 0.94392 0.86898 1.44368 1.15031 1.32931 1.42063 1.17918 0.80875 0.79980 0.80400 1.90853 1.54182 1.61504 1.39123 1.86322 1.30289 1.48986 1.62239 1.22042 0.95321 0.83515 0.89145 1.22526 1.02345 0.97117 1.02151 1.21860 0.93002 1.01882 1.03086 1.22529 1.05084 1.02067 0.94381 1.23004 0.99910 0.96875 0.94240 1.22882 0.97836 1.00006 0.96217 1.22797 1.00446 0.98419 0.96415 1.23322 1.00980 0.98154 0.95461 0.94156 0.93195 0.95886 0.88258 0.94995 0.92540 0.77741 0.74723 0.92152 0.91310 0.89169 0.91505 0.90252 0.91431 0.89173 0.91291 0.92238 0.87729 0.90022 0.91323 0.90473 0.92027 0.91797 0.87767 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. Note: The number of geometries may not correspond to the number of cycles due to rejected geometry changes. In the following table subtotal= G_P + SS G_CDS. Atom Chem. CM2 G_P Area Sigma k SS G_CDS Subtotal M number symbol chg. (kcal) (Ang**2) cal/(Ang**2) (kcal) (kcal) value 1 C -0.14 -2.91 8.52 37.16 0.32 -2.60 16 2 C -0.13 -2.96 5.45 -26.73 -0.15 -3.10 16 3 C 0.27 6.52 2.24 -69.09 -0.16 6.36 16 4 H 0.05 1.39 7.58 -51.93 -0.39 1.00 16 5 C -0.54 -13.68 8.73 -34.44 -0.30 -13.98 16 6 H 0.06 1.51 7.74 -52.49 -0.41 1.11 16 7 C 0.07 1.76 5.29 -17.82 -0.09 1.67 16 8 N -0.88 -24.17 11.28 55.43 0.63 -23.54 16 9 Si 0.90 20.27 29.54 -169.99 -5.02 15.25 16 10 H -0.28 -6.22 7.11 56.52 0.40 -5.82 16 11 H -0.29 -6.46 7.11 56.52 0.40 -6.05 16 12 H -0.27 -6.08 7.11 56.52 0.40 -5.68 16 13 N -0.70 -13.50 4.87 -54.93 -0.27 -13.77 16 14 C 0.50 9.16 5.78 -10.98 -0.06 9.10 16 15 O -0.54 -11.55 12.98 5.56 0.07 -11.48 16 16 C 0.15 2.20 2.60 -69.08 -0.18 2.02 16 17 H 0.11 1.67 7.58 -51.93 -0.39 1.27 16 18 N -0.68 -9.63 3.47 -59.86 -0.21 -9.83 16 19 C 0.65 9.06 6.85 54.05 0.37 9.43 16 20 O -0.57 -8.24 9.05 -19.28 -0.17 -8.42 16 21 O -0.36 -4.64 9.94 -40.32 -0.40 -5.04 16 22 C 0.14 1.39 1.13 -90.62 -0.10 1.29 16 23 C -0.18 -1.86 8.37 37.16 0.31 -1.55 16 24 C -0.14 -1.08 8.85 37.16 0.33 -0.75 16 25 C -0.18 -1.73 8.37 37.16 0.31 -1.42 16 26 C -0.12 -1.54 3.50 -89.80 -0.31 -1.85 16 27 C -0.13 -1.63 7.46 -25.92 -0.19 -1.83 16 28 C -0.14 -1.57 8.08 -25.94 -0.21 -1.78 16 29 C -0.14 -1.70 7.22 -25.93 -0.19 -1.89 16 30 H 0.04 0.81 5.65 -51.93 -0.29 0.52 16 31 H 0.05 1.14 7.85 -51.93 -0.41 0.73 16 32 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.10 2.59 5.94 -51.93 -0.31 2.28 16 34 H 0.03 0.71 8.14 -51.93 -0.42 0.29 16 35 H 0.26 6.92 8.31 -40.82 -0.34 6.58 16 36 H 0.39 6.60 8.00 -40.82 -0.33 6.27 16 37 H 0.41 5.96 7.74 -40.82 -0.32 5.65 16 38 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 39 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 40 H 0.09 1.11 5.88 -51.93 -0.31 0.81 16 41 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 42 H 0.08 0.45 8.14 -51.93 -0.42 0.03 16 43 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 44 H 0.09 1.03 5.88 -51.93 -0.31 0.73 16 45 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 46 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 47 H 0.10 1.30 7.54 -51.93 -0.39 0.90 16 48 H 0.08 1.04 6.77 -51.93 -0.35 0.68 16 49 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 50 H 0.08 0.79 8.14 -51.93 -0.42 0.36 16 51 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 52 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 53 H 0.10 1.38 4.12 -51.92 -0.21 1.16 16 LS Contribution 403.29 15.07 6.08 6.08 Total: -1.00 -28.49 403.29 -8.65 -37.14 By element: Atomic # 1 Polarization: 23.54 SS G_CDS: -9.04 Total: 14.50 kcal Atomic # 6 Polarization: -0.58 SS G_CDS: -0.31 Total: -0.89 kcal Atomic # 7 Polarization: -47.30 SS G_CDS: 0.15 Total: -47.15 kcal Atomic # 8 Polarization: -24.43 SS G_CDS: -0.50 Total: -24.94 kcal Atomic # 14 Polarization: 20.27 SS G_CDS: -5.02 Total: 15.25 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -28.49 -8.65 -37.14 kcal The number of atoms in the molecule is 53 The average number of expansion shells was 16.00 The maximum number of expansion shells was 16 The minimum number of expansion shells was 16 **** NOTA BENE **** This is the net solvation energy for this exact molecular structure (nuclear and electronic)! The standard-state solvation energy should be obtained as the difference between the heat of formation plus delta-G solvation for the relaxed solvated system and that for the relaxed gas-phase system. ZINC000408521839.mol2 53 1SCF run This is a breakdown of the solvation energy calculated without geometric relaxation in solution: (1) E-EN(sol) electronic-nuclear energy of solute -66.506 kcal (2) G-P(sol) polarization free energy of solvation -28.495 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -95.000 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.646 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.141 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.646 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds