Wall clock time and date at job start Tue Mar 31 2020 19:45:09 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 1.52998 * 1 3 3 C 1.53001 * 109.46868 * 2 1 4 4 C 1.53000 * 109.46951 * 175.00117 * 3 2 1 5 5 C 1.53001 * 109.47191 * 184.99914 * 4 3 2 6 6 N 1.46498 * 109.47091 * 294.99683 * 3 2 1 7 7 C 1.46769 * 124.34779 * 119.72669 * 6 3 2 8 8 C 1.54659 * 105.38066 * 162.85532 * 7 6 3 9 9 H 1.09004 * 110.85119 * 143.79217 * 8 7 6 10 10 C 1.50696 * 111.19442 * 267.59545 * 8 7 6 11 11 O 1.21285 * 119.99921 * 353.86066 * 10 8 7 12 12 N 1.34780 * 120.00073 * 173.86773 * 10 8 7 13 13 C 1.46924 * 120.63071 * 359.71631 * 12 10 8 14 14 C 1.52765 * 109.00903 * 233.58934 * 13 12 10 15 15 C 1.53044 * 109.37917 * 305.58763 * 14 13 12 16 16 C 1.50700 * 109.45705 * 181.26247 * 15 14 13 17 17 H 1.08006 * 119.99443 * 245.37671 * 16 15 14 18 18 C 1.37874 * 120.00326 * 65.38291 * 16 15 14 19 19 N 1.31514 * 119.99959 * 9.57177 * 18 16 15 20 20 Si 1.86799 * 120.00076 * 189.58005 * 18 16 15 21 21 H 1.48491 * 109.47406 * 94.98644 * 20 18 16 22 22 H 1.48506 * 109.46805 * 214.99074 * 20 18 16 23 23 H 1.48497 * 109.46917 * 334.98312 * 20 18 16 24 24 C 1.53039 * 109.53746 * 61.24140 * 15 14 13 25 25 C 1.46928 * 120.62907 * 180.02562 * 12 10 8 26 26 C 1.54632 * 101.68410 * 25.76836 * 8 7 6 27 27 C 1.34417 * 124.35387 * 300.02963 * 6 3 2 28 28 O 1.21284 * 124.93973 * 0.42778 * 27 6 3 29 29 H 1.08996 * 109.47574 * 60.00060 * 1 2 3 30 30 H 1.09003 * 109.47455 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.47390 * 299.99655 * 1 2 3 32 32 H 1.08994 * 109.46879 * 119.99672 * 2 1 3 33 33 H 1.08997 * 109.47041 * 239.99670 * 2 1 3 34 34 H 1.08994 * 109.47018 * 55.00096 * 3 2 1 35 35 H 1.09004 * 109.46898 * 304.99895 * 4 3 2 36 36 H 1.09000 * 109.47301 * 64.99880 * 4 3 2 37 37 H 1.09000 * 109.47274 * 179.97438 * 5 4 3 38 38 H 1.09004 * 109.47185 * 299.99806 * 5 4 3 39 39 H 1.09000 * 109.47026 * 59.99798 * 5 4 3 40 40 H 1.08997 * 110.24291 * 281.98283 * 7 6 3 41 41 H 1.09000 * 110.24502 * 43.98626 * 7 6 3 42 42 H 1.08999 * 109.58678 * 353.41639 * 13 12 10 43 43 H 1.08995 * 109.58780 * 113.84547 * 13 12 10 44 44 H 1.08994 * 109.56682 * 185.55434 * 14 13 12 45 45 H 1.09005 * 109.38788 * 65.50898 * 14 13 12 46 46 H 1.08999 * 109.45023 * 301.22837 * 15 14 13 47 47 H 0.97002 * 119.99914 * 179.97438 * 19 18 16 48 48 H 1.09008 * 109.49374 * 178.68237 * 24 15 14 49 49 H 1.08995 * 109.52987 * 58.60163 * 24 15 14 50 50 H 1.08999 * 109.57929 * 246.15313 * 25 12 10 51 51 H 1.08993 * 109.58577 * 6.43095 * 25 12 10 52 52 H 1.08999 * 110.48334 * 216.30772 * 26 8 7 53 53 H 1.09001 * 110.59597 * 93.72410 * 26 8 7 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 2.0399 1.4425 0.0000 4 6 3.5647 1.4444 0.1257 5 6 4.0644 2.8851 0.2511 6 7 1.6524 2.0975 -1.2518 7 6 0.8027 3.2914 -1.3332 8 6 1.0294 3.8601 -2.7535 9 1 0.1061 4.2763 -3.1567 10 6 2.1294 4.8900 -2.7589 11 8 2.6281 5.2501 -1.7136 12 7 2.5590 5.4112 -3.9253 13 6 1.9689 4.9805 -5.2000 14 6 3.0863 4.5256 -6.1371 15 6 4.1240 5.6426 -6.2700 16 6 5.2113 5.2075 -7.2183 17 1 6.2187 5.0647 -6.8559 18 6 4.9203 4.9919 -8.5486 19 7 3.7482 5.3433 -9.0307 20 14 6.1906 4.2003 -9.6663 21 1 5.9420 2.7382 -9.7406 22 1 6.0895 4.7895 -11.0257 23 1 7.5501 4.4442 -9.1210 24 6 4.7332 5.9410 -4.8981 25 6 3.6310 6.4157 -3.9466 26 6 1.4528 2.5941 -3.5339 27 6 2.0245 1.6788 -2.4737 28 8 2.7173 0.7081 -2.6943 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8900 32 1 1.8933 -0.5138 0.8900 33 1 1.8933 -0.5139 -0.8899 34 1 1.6053 1.9815 0.8418 35 1 3.8570 0.8801 1.0113 36 1 4.0029 0.9836 -0.7597 37 1 5.1507 2.8864 0.3411 38 1 3.7722 3.4494 -0.6345 39 1 3.6263 3.3458 1.1364 40 1 -0.2438 3.0197 -1.1953 41 1 1.1057 4.0218 -0.5830 42 1 1.2822 4.1526 -5.0236 43 1 1.4316 5.8133 -5.6538 44 1 2.6697 4.2975 -7.1182 45 1 3.5617 3.6343 -5.7275 46 1 3.6428 6.5409 -6.6567 47 1 3.5436 5.1919 -9.9667 48 1 5.4888 6.7204 -4.9974 49 1 5.1932 5.0370 -4.4993 50 1 3.2322 7.3681 -4.2959 51 1 4.0388 6.5363 -2.9431 52 1 2.2126 2.8397 -4.2759 53 1 0.5893 2.1316 -4.0120 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000542907184.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 19:45:09 Heat of formation + Delta-G solvation = -85.961122 kcal Electronic energy + Delta-G solvation = -31779.852507 eV Core-core repulsion = 27843.618745 eV Total energy + Delta-G solvation = -3936.233761 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -41.17229 -39.41551 -37.03758 -36.54574 -35.62588 -33.57409 -32.15308 -31.78073 -30.76283 -29.96944 -27.74450 -26.69192 -26.14721 -23.81268 -22.62668 -22.15868 -22.03795 -21.89285 -19.90619 -18.91879 -18.29662 -17.44824 -16.83061 -16.40311 -15.92775 -15.56427 -15.14328 -14.75936 -14.62986 -14.53448 -14.30412 -13.82609 -13.61165 -13.29974 -13.17867 -13.06888 -12.92998 -12.88697 -12.81862 -12.62456 -12.53282 -12.17985 -11.71893 -11.66850 -11.62053 -11.54667 -11.37188 -11.16485 -10.98212 -10.93803 -10.89593 -10.82252 -10.66726 -10.44728 -10.22511 -9.74115 -9.52520 -9.49041 -9.13807 -9.02060 -8.65878 -8.38017 -8.12150 -6.08587 -4.09726 2.66016 2.77751 2.95739 3.28183 3.29108 3.36121 3.39753 4.21944 4.27490 4.40936 4.52366 4.62414 4.80048 4.85846 4.95152 5.17063 5.18080 5.23012 5.32682 5.33143 5.38657 5.45032 5.47438 5.51661 5.62338 5.69161 5.75189 5.76433 5.79648 5.85083 5.87458 5.95442 5.97999 6.04907 6.09255 6.11483 6.15634 6.21363 6.36655 6.48947 6.56622 6.66215 6.81634 6.96634 7.03046 7.11848 7.16034 7.59851 7.79478 7.84422 7.92426 8.25328 8.36695 8.40181 8.93651 9.54555 11.00079 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015435 B = 0.003323 C = 0.003157 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1813.577207 B = 8424.159583 C = 8867.716695 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.142 4.142 3 C 0.164 3.836 4 C -0.140 4.140 5 C -0.151 4.151 6 N -0.606 5.606 7 C 0.118 3.882 8 C -0.123 4.123 9 H 0.121 0.879 10 C 0.519 3.481 11 O -0.547 6.547 12 N -0.595 5.595 13 C 0.094 3.906 14 C -0.120 4.120 15 C 0.049 3.951 16 C -0.515 4.515 17 H 0.055 0.945 18 C 0.065 3.935 19 N -0.889 5.889 20 Si 0.886 3.114 21 H -0.280 1.280 22 H -0.287 1.287 23 H -0.274 1.274 24 C -0.123 4.123 25 C 0.112 3.888 26 C -0.159 4.159 27 C 0.522 3.478 28 O -0.526 6.526 29 H 0.053 0.947 30 H 0.052 0.948 31 H 0.051 0.949 32 H 0.070 0.930 33 H 0.080 0.920 34 H 0.086 0.914 35 H 0.067 0.933 36 H 0.077 0.923 37 H 0.048 0.952 38 H 0.071 0.929 39 H 0.048 0.952 40 H 0.075 0.925 41 H 0.096 0.904 42 H 0.074 0.926 43 H 0.066 0.934 44 H 0.087 0.913 45 H 0.043 0.957 46 H 0.035 0.965 47 H 0.260 0.740 48 H 0.062 0.938 49 H 0.051 0.949 50 H 0.061 0.939 51 H 0.078 0.922 52 H 0.119 0.881 53 H 0.113 0.887 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.592 -4.773 16.537 20.210 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 -0.204 4.204 2 C -0.180 4.180 3 C 0.061 3.939 4 C -0.178 4.178 5 C -0.208 4.208 6 N -0.341 5.341 7 C -0.005 4.005 8 C -0.145 4.145 9 H 0.139 0.861 10 C 0.306 3.694 11 O -0.426 6.426 12 N -0.326 5.326 13 C -0.028 4.028 14 C -0.159 4.159 15 C 0.030 3.970 16 C -0.553 4.553 17 H 0.073 0.927 18 C -0.137 4.137 19 N -0.527 5.527 20 Si 0.714 3.286 21 H -0.207 1.207 22 H -0.213 1.213 23 H -0.199 1.199 24 C -0.162 4.162 25 C -0.009 4.009 26 C -0.199 4.199 27 C 0.310 3.690 28 O -0.403 6.403 29 H 0.072 0.928 30 H 0.071 0.929 31 H 0.070 0.930 32 H 0.089 0.911 33 H 0.098 0.902 34 H 0.104 0.896 35 H 0.086 0.914 36 H 0.096 0.904 37 H 0.067 0.933 38 H 0.090 0.910 39 H 0.067 0.933 40 H 0.094 0.906 41 H 0.114 0.886 42 H 0.092 0.908 43 H 0.084 0.916 44 H 0.106 0.894 45 H 0.061 0.939 46 H 0.053 0.947 47 H 0.070 0.930 48 H 0.080 0.920 49 H 0.069 0.931 50 H 0.079 0.921 51 H 0.097 0.903 52 H 0.137 0.863 53 H 0.131 0.869 Dipole moment (debyes) X Y Z Total from point charges -10.034 -5.108 16.859 20.273 hybrid contribution 0.557 -0.378 -0.901 1.124 sum -9.477 -5.485 15.958 19.354 Atomic orbital electron populations 1.21711 0.95671 1.01437 1.01559 1.21958 0.96227 0.96387 1.03466 1.21028 0.95022 0.92814 0.84995 1.21938 0.94715 0.98323 1.02863 1.21758 1.00367 0.95956 1.02736 1.48249 1.50649 1.29136 1.06044 1.22037 0.94440 0.87195 0.96874 1.22290 0.99841 0.95122 0.97266 0.86087 1.20082 0.83614 0.82009 0.83736 1.90634 1.58530 1.62141 1.31341 1.48156 1.37068 1.41207 1.06198 1.22133 0.97390 0.99509 0.83741 1.21902 0.95803 0.99823 0.98327 1.18626 0.93768 0.94614 0.89966 1.21162 0.95244 1.45839 0.93065 0.92712 1.24932 0.95461 0.95351 0.97906 1.69942 1.21999 1.46418 1.14377 0.86677 0.82100 0.79796 0.80063 1.20653 1.21324 1.19916 1.22000 0.96435 1.00402 0.97323 1.21716 0.88195 0.90075 1.00956 1.22686 1.04494 0.94199 0.98559 1.20713 0.79490 0.84702 0.84118 1.90695 1.37837 1.28009 1.83745 0.92773 0.92887 0.92999 0.91096 0.90181 0.89632 0.91426 0.90431 0.93267 0.91027 0.93324 0.90640 0.88591 0.90798 0.91561 0.89444 0.93870 0.94699 0.93007 0.91986 0.93058 0.92053 0.90320 0.86296 0.86870 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.15 -1.23 9.80 37.16 0.36 -0.87 16 2 C -0.14 -1.42 5.36 -26.73 -0.14 -1.56 16 3 C 0.16 1.75 2.26 -67.93 -0.15 1.60 16 4 C -0.14 -1.69 5.36 -26.73 -0.14 -1.83 16 5 C -0.15 -1.97 9.80 37.16 0.36 -1.61 16 6 N -0.61 -7.13 1.74 -164.73 -0.29 -7.41 16 7 C 0.12 1.17 6.69 -3.02 -0.02 1.15 16 8 C -0.12 -1.36 2.60 -90.04 -0.23 -1.59 16 9 H 0.12 0.98 8.06 -51.93 -0.42 0.56 16 10 C 0.52 7.78 7.11 -10.99 -0.08 7.70 16 11 O -0.55 -9.44 13.59 5.55 0.08 -9.36 16 12 N -0.59 -9.57 2.96 -173.06 -0.51 -10.08 16 13 C 0.09 1.49 5.38 -3.93 -0.02 1.47 16 14 C -0.12 -2.46 5.02 -26.83 -0.13 -2.60 16 15 C 0.05 1.12 1.93 -91.73 -0.18 0.94 16 16 C -0.52 -13.56 8.48 -34.44 -0.29 -13.85 16 17 H 0.05 1.46 7.77 -52.48 -0.41 1.05 16 18 C 0.07 1.73 5.19 -17.82 -0.09 1.64 16 19 N -0.89 -24.15 12.16 55.43 0.67 -23.48 16 20 Si 0.89 20.86 29.55 -169.99 -5.02 15.84 16 21 H -0.28 -6.61 7.11 56.52 0.40 -6.20 16 22 H -0.29 -6.73 7.11 56.52 0.40 -6.33 16 23 H -0.27 -6.45 7.11 56.52 0.40 -6.05 16 24 C -0.12 -2.46 5.30 -26.64 -0.14 -2.60 16 25 C 0.11 1.93 6.43 -3.73 -0.02 1.91 16 26 C -0.16 -1.95 4.99 -26.74 -0.13 -2.08 16 27 C 0.52 7.55 7.37 -10.86 -0.08 7.47 16 28 O -0.53 -9.48 15.02 5.55 0.08 -9.40 16 29 H 0.05 0.49 7.75 -51.93 -0.40 0.09 16 30 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 31 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 32 H 0.07 0.61 8.14 -51.93 -0.42 0.18 16 33 H 0.08 1.02 6.62 -51.93 -0.34 0.67 16 34 H 0.09 0.78 8.07 -51.93 -0.42 0.36 16 35 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 36 H 0.08 1.16 6.65 -51.93 -0.35 0.82 16 37 H 0.05 0.63 8.14 -51.93 -0.42 0.21 16 38 H 0.07 1.14 6.35 -51.93 -0.33 0.81 16 39 H 0.05 0.57 8.14 -51.93 -0.42 0.14 16 40 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 41 H 0.10 1.04 6.97 -51.93 -0.36 0.68 16 42 H 0.07 0.95 4.52 -51.93 -0.23 0.72 16 43 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 44 H 0.09 2.00 6.87 -51.93 -0.36 1.64 16 45 H 0.04 0.92 7.41 -51.93 -0.38 0.53 16 46 H 0.03 0.87 8.09 -51.93 -0.42 0.45 16 47 H 0.26 6.79 8.31 -40.82 -0.34 6.45 16 48 H 0.06 1.21 8.14 -51.92 -0.42 0.79 16 49 H 0.05 1.07 8.14 -51.93 -0.42 0.65 16 50 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 51 H 0.08 1.35 7.00 -51.93 -0.36 0.99 16 52 H 0.12 1.75 5.11 -51.93 -0.27 1.48 16 53 H 0.11 1.08 8.14 -51.93 -0.42 0.66 16 LS Contribution 398.63 15.07 6.01 6.01 Total: -1.00 -30.32 398.63 -9.38 -39.70 By element: Atomic # 1 Polarization: 12.15 SS G_CDS: -9.26 Total: 2.88 kcal Atomic # 6 Polarization: -3.57 SS G_CDS: -1.14 Total: -4.71 kcal Atomic # 7 Polarization: -40.85 SS G_CDS: -0.12 Total: -40.97 kcal Atomic # 8 Polarization: -18.92 SS G_CDS: 0.16 Total: -18.76 kcal Atomic # 14 Polarization: 20.86 SS G_CDS: -5.02 Total: 15.84 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -30.32 -9.38 -39.70 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. ZINC000542907184.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 -46.256 kcal (2) G-P(sol) polarization free energy of solvation -30.323 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -76.579 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.382 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.705 kcal (6) G-S(sol) free energy of system = (1) + (5) -85.961 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.89 seconds