Wall clock time and date at job start Tue Mar 31 2020 06:47:38 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 1.50704 * 1 3 3 C 1.38260 * 119.97048 * 2 1 4 4 C 1.38268 * 120.10972 * 179.97438 * 3 2 1 5 5 C 1.50703 * 119.97120 * 180.02562 * 4 3 2 6 6 C 1.38139 * 120.05510 * 0.02562 * 4 3 2 7 7 C 1.38733 * 119.94507 * 359.97438 * 6 4 3 8 8 O 1.35905 * 120.05258 * 179.97438 * 7 6 4 9 9 C 1.42901 * 116.99604 * 180.02562 * 8 7 6 10 10 C 1.52998 * 109.47046 * 180.02562 * 9 8 7 11 11 C 1.50703 * 109.47225 * 180.02562 * 10 9 8 12 12 O 1.21279 * 119.99463 * 359.97438 * 11 10 9 13 13 N 1.34773 * 120.00193 * 180.02562 * 11 10 9 14 14 C 1.46509 * 119.99733 * 359.97438 * 13 11 10 15 15 C 1.50696 * 109.47141 * 89.99980 * 14 13 11 16 16 H 1.07999 * 120.00060 * 0.02562 * 15 14 13 17 17 C 1.37876 * 119.99932 * 179.97438 * 15 14 13 18 18 N 1.31519 * 120.00050 * 180.02562 * 17 15 14 19 19 Si 1.86798 * 120.00020 * 0.02562 * 17 15 14 20 20 H 1.48500 * 109.46925 * 89.99818 * 19 17 15 21 21 H 1.48499 * 109.47326 * 209.99970 * 19 17 15 22 22 H 1.48506 * 109.47153 * 330.00091 * 19 17 15 23 23 C 1.46498 * 120.00182 * 179.97438 * 13 11 10 24 24 C 1.50696 * 109.47241 * 89.99806 * 23 13 11 25 25 C 1.38676 * 120.41982 * 269.72262 * 24 23 13 26 26 C 1.38631 * 118.42250 * 179.78085 * 25 24 23 27 27 C 1.38227 * 119.15727 * 0.51475 * 26 25 24 28 28 N 1.31857 * 120.76772 * 359.72289 * 27 26 25 29 29 C 1.31886 * 121.72244 * 0.02562 * 28 27 26 30 30 C 1.38145 * 119.97211 * 180.25567 * 2 1 3 31 31 H 1.09004 * 109.46912 * 89.99730 * 1 2 3 32 32 H 1.08995 * 109.47215 * 209.99809 * 1 2 3 33 33 H 1.08998 * 109.47080 * 329.99693 * 1 2 3 34 34 H 1.08001 * 119.94846 * 359.97438 * 3 2 1 35 35 H 1.09005 * 109.47293 * 269.98230 * 5 4 3 36 36 H 1.09005 * 109.47323 * 29.98113 * 5 4 3 37 37 H 1.08998 * 109.47310 * 149.98115 * 5 4 3 38 38 H 1.08001 * 120.02451 * 179.97438 * 6 4 3 39 39 H 1.08999 * 109.47144 * 300.00205 * 9 8 7 40 40 H 1.08998 * 109.47043 * 59.99803 * 9 8 7 41 41 H 1.08999 * 109.47084 * 299.99957 * 10 9 8 42 42 H 1.08996 * 109.47090 * 59.99784 * 10 9 8 43 43 H 1.09003 * 109.46841 * 210.00074 * 14 13 11 44 44 H 1.08998 * 109.46739 * 329.99815 * 14 13 11 45 45 H 0.96996 * 120.00046 * 180.02562 * 18 17 15 46 46 H 1.09002 * 109.47127 * 209.99957 * 23 13 11 47 47 H 1.09004 * 109.47037 * 329.99603 * 23 13 11 48 48 H 1.08001 * 120.78810 * 0.02562 * 25 24 23 49 49 H 1.07999 * 120.41799 * 180.22011 * 26 25 24 50 50 H 1.07997 * 119.61524 * 179.75205 * 27 26 25 51 51 H 1.07997 * 119.61610 * 180.02562 * 29 28 27 52 52 H 1.08001 * 120.02867 * 0.02562 * 30 2 1 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 1.5070 0.0000 0.0000 3 6 2.1977 1.1977 0.0000 4 6 3.5804 1.2011 0.0005 5 6 4.3301 2.5084 0.0011 6 6 4.2751 0.0071 0.0005 7 6 3.5844 -1.1960 0.0005 8 8 4.2657 -2.3720 0.0000 9 6 3.4891 -3.5716 -0.0005 10 6 4.4229 -4.7835 -0.0004 11 6 3.6040 -6.0487 -0.0016 12 8 2.3928 -5.9869 -0.0020 13 7 4.2176 -7.2486 -0.0012 14 6 5.6808 -7.3231 -0.0002 15 6 6.1815 -7.3487 1.4209 16 1 5.4800 -7.3134 2.2413 17 6 7.5350 -7.4182 1.6738 18 7 7.9720 -7.4410 2.9141 19 14 8.7483 -7.4798 0.2548 20 1 9.1414 -6.0979 -0.1207 21 1 9.9539 -8.2427 0.6671 22 1 8.1142 -8.1479 -0.9100 23 6 3.4215 -8.4784 -0.0018 24 6 3.1495 -8.9001 -1.4228 25 6 2.0159 -8.4513 -2.0836 26 6 1.8089 -8.8613 -3.3916 27 6 2.7272 -9.7065 -3.9858 28 7 3.7918 -10.1174 -3.3252 29 6 4.0233 -9.7437 -2.0817 30 6 2.1972 -1.1967 -0.0053 31 1 -0.3633 0.0000 -1.0277 32 1 -0.3633 -0.8899 0.5138 33 1 -0.3633 0.8899 0.5139 34 1 1.6564 2.1323 -0.0004 35 1 4.5115 2.8237 -1.0264 36 1 3.7384 3.2664 0.5146 37 1 5.2825 2.3809 0.5156 38 1 5.3551 0.0103 0.0005 39 1 2.8603 -3.5977 0.8894 40 1 2.8604 -3.5969 -0.8905 41 1 5.0520 -4.7576 -0.8902 42 1 5.0514 -4.7579 0.8898 43 1 5.9987 -8.2304 -0.5139 44 1 6.0892 -6.4527 -0.5137 45 1 8.9243 -7.4895 3.0920 46 1 3.9709 -9.2671 0.5124 47 1 2.4766 -8.2998 0.5114 48 1 1.3131 -7.7947 -1.5922 49 1 0.9387 -8.5284 -3.9378 50 1 2.5711 -10.0337 -5.0031 51 1 4.9065 -10.1005 -1.5729 52 1 1.6572 -2.1320 -0.0099 RHF calculation, no. of doubly occupied orbitals= 69 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 ZINC000069514337.mol2 52 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 06:47:38 Heat of formation + Delta-G solvation = -25.965343 kcal Electronic energy + Delta-G solvation = -32459.246780 eV Core-core repulsion = 28195.559167 eV Total energy + Delta-G solvation = -4263.687613 eV No. of doubly occupied orbitals = 69 Molecular weight (most abundant/longest-lived isotopes) = 368.189 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.33812 -40.13639 -39.17389 -37.77558 -35.50656 -33.66662 -33.23827 -32.35003 -32.04324 -31.39788 -30.26318 -28.23515 -27.36444 -27.09834 -26.28202 -23.90759 -23.47434 -22.52358 -21.89359 -21.63886 -20.52534 -18.54477 -17.61526 -17.26141 -16.90701 -16.55530 -16.20553 -16.13150 -16.01758 -15.71685 -15.48295 -15.24952 -14.52108 -14.21216 -13.96796 -13.86555 -13.70253 -13.50439 -13.38020 -13.27961 -13.08867 -13.00248 -12.88038 -12.69057 -12.49733 -12.38209 -12.14976 -12.02758 -11.89387 -11.58887 -11.47198 -11.33086 -11.26205 -11.07391 -10.81387 -10.66477 -10.45984 -10.36816 -9.79852 -9.69138 -9.42596 -9.35912 -8.88685 -8.78132 -8.69455 -8.14282 -7.99169 -6.28276 -4.31656 1.16887 1.25121 1.39876 1.41969 3.03339 3.11104 3.15148 3.22524 3.25359 3.66547 3.73135 4.10281 4.21429 4.54349 4.62079 4.67768 4.89903 4.97680 4.99671 5.03456 5.04520 5.11023 5.13265 5.17123 5.19559 5.20710 5.23431 5.30148 5.40217 5.45656 5.47331 5.52434 5.58512 5.63010 5.70889 5.76131 5.79175 5.93079 5.98233 6.05492 6.07410 6.20341 6.23658 6.29304 6.35660 6.44159 6.46392 6.54196 6.55580 6.78084 6.80567 7.10028 7.34286 7.49716 7.91019 8.05994 8.28193 8.63237 8.77455 9.30162 10.83939 Molecular weight = 368.19amu Principal moments of inertia in cm(-1) A = 0.007235 B = 0.002702 C = 0.002128 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3868.960038 B =10360.160688 C =13155.758432 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.115 4.115 2 C -0.045 4.045 3 C -0.165 4.165 4 C -0.048 4.048 5 C -0.113 4.113 6 C -0.162 4.162 7 C 0.147 3.853 8 O -0.313 6.313 9 C 0.080 3.920 10 C -0.139 4.139 11 C 0.530 3.470 12 O -0.571 6.571 13 N -0.582 5.582 14 C 0.207 3.793 15 C -0.546 4.546 16 H 0.080 0.920 17 C 0.080 3.920 18 N -0.887 5.887 19 Si 0.868 3.132 20 H -0.272 1.272 21 H -0.282 1.282 22 H -0.263 1.263 23 C 0.161 3.839 24 C -0.147 4.147 25 C -0.055 4.055 26 C -0.180 4.180 27 C 0.091 3.909 28 N -0.489 5.489 29 C 0.112 3.888 30 C -0.215 4.215 31 H 0.071 0.929 32 H 0.067 0.933 33 H 0.066 0.934 34 H 0.119 0.881 35 H 0.071 0.929 36 H 0.066 0.934 37 H 0.068 0.932 38 H 0.129 0.871 39 H 0.070 0.930 40 H 0.065 0.935 41 H 0.098 0.902 42 H 0.120 0.880 43 H 0.035 0.965 44 H 0.032 0.968 45 H 0.268 0.732 46 H 0.095 0.905 47 H 0.088 0.912 48 H 0.139 0.861 49 H 0.130 0.870 50 H 0.151 0.849 51 H 0.157 0.843 52 H 0.130 0.870 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.818 10.636 -9.331 18.435 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 -0.172 4.172 2 C -0.045 4.045 3 C -0.184 4.184 4 C -0.048 4.048 5 C -0.170 4.170 6 C -0.181 4.181 7 C 0.101 3.899 8 O -0.227 6.227 9 C 0.004 3.996 10 C -0.178 4.178 11 C 0.318 3.682 12 O -0.452 6.452 13 N -0.311 5.311 14 C 0.086 3.914 15 C -0.584 4.584 16 H 0.098 0.902 17 C -0.124 4.124 18 N -0.524 5.524 19 Si 0.694 3.306 20 H -0.197 1.197 21 H -0.208 1.208 22 H -0.188 1.188 23 C 0.037 3.963 24 C -0.150 4.150 25 C -0.082 4.082 26 C -0.200 4.200 27 C -0.067 4.067 28 N -0.198 5.198 29 C -0.045 4.045 30 C -0.234 4.234 31 H 0.089 0.911 32 H 0.086 0.914 33 H 0.085 0.915 34 H 0.137 0.863 35 H 0.090 0.910 36 H 0.085 0.915 37 H 0.087 0.913 38 H 0.147 0.853 39 H 0.088 0.912 40 H 0.084 0.916 41 H 0.116 0.884 42 H 0.139 0.861 43 H 0.053 0.947 44 H 0.050 0.950 45 H 0.078 0.922 46 H 0.114 0.886 47 H 0.106 0.894 48 H 0.156 0.844 49 H 0.148 0.852 50 H 0.168 0.832 51 H 0.174 0.826 52 H 0.148 0.852 Dipole moment (debyes) X Y Z Total from point charges -11.431 10.028 -9.608 17.988 hybrid contribution 0.164 0.342 -0.207 0.432 sum -11.267 10.370 -9.816 18.188 Atomic orbital electron populations 1.20812 0.91137 1.02860 1.02386 1.19670 0.95891 0.92462 0.96518 1.20744 0.93397 0.97352 1.06878 1.19640 0.93598 0.94509 0.97036 1.20791 1.00043 0.93730 1.02407 1.20289 1.00282 0.89301 1.08199 1.18973 0.90428 0.85997 0.94539 1.86036 1.36177 1.12420 1.88045 1.22477 0.93334 0.81383 1.02365 1.21474 0.99108 0.90278 1.06986 1.20066 0.87601 0.85051 0.75464 1.90593 1.14350 1.87622 1.52685 1.47883 1.08617 1.03959 1.70629 1.19903 0.74995 0.97864 0.98660 1.21315 0.93064 1.53065 0.90975 0.90212 1.24853 0.98106 0.94018 0.95473 1.69880 1.15022 1.48805 1.18670 0.86974 0.81537 0.79057 0.83019 1.19709 1.20756 1.18765 1.20176 0.97533 0.87728 0.90854 1.21440 0.95817 0.98635 0.99139 1.21681 0.96444 0.96057 0.93984 1.22125 1.01339 1.00345 0.96202 1.22713 0.90059 0.94278 0.99608 1.67708 1.19935 1.23379 1.08753 1.22801 0.97978 0.93507 0.90234 1.21209 0.93108 0.99116 1.09961 0.91052 0.91365 0.91469 0.86251 0.91032 0.91454 0.91293 0.85258 0.91199 0.91633 0.88379 0.86139 0.94666 0.95029 0.92221 0.88649 0.89380 0.84352 0.85163 0.83211 0.82602 0.85187 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 -0.12 -1.01 10.01 36.01 0.36 -0.65 16 2 C -0.05 -0.52 5.88 -104.65 -0.62 -1.14 16 3 C -0.17 -1.80 9.35 -39.56 -0.37 -2.17 16 4 C -0.05 -0.54 5.88 -104.65 -0.62 -1.15 16 5 C -0.11 -0.92 10.01 36.01 0.36 -0.55 16 6 C -0.16 -2.14 9.64 -39.44 -0.38 -2.52 16 7 C 0.15 2.15 6.69 -39.22 -0.26 1.89 16 8 O -0.31 -5.04 10.14 -19.44 -0.20 -5.24 16 9 C 0.08 1.24 4.03 37.16 0.15 1.39 16 10 C -0.14 -2.37 4.62 -27.88 -0.13 -2.50 16 11 C 0.53 9.82 7.67 -10.99 -0.08 9.73 16 12 O -0.57 -11.00 15.22 5.56 0.08 -10.91 16 13 N -0.58 -10.90 2.44 -176.43 -0.43 -11.33 16 14 C 0.21 4.28 4.03 -5.19 -0.02 4.26 16 15 C -0.55 -13.63 9.83 -34.44 -0.34 -13.97 16 16 H 0.08 2.23 8.06 -52.49 -0.42 1.80 16 17 C 0.08 2.08 5.47 -17.82 -0.10 1.99 16 18 N -0.89 -25.08 13.96 55.43 0.77 -24.30 16 19 Si 0.87 19.35 27.47 -169.99 -4.67 14.68 16 20 H -0.27 -6.01 7.11 56.52 0.40 -5.61 16 21 H -0.28 -6.36 7.11 56.52 0.40 -5.96 16 22 H -0.26 -5.56 6.54 56.52 0.37 -5.19 16 23 C 0.16 2.64 5.56 -5.20 -0.03 2.62 16 24 C -0.15 -2.24 5.48 -104.48 -0.57 -2.81 16 25 C -0.06 -0.78 9.86 -39.27 -0.39 -1.16 16 26 C -0.18 -2.19 10.11 -39.44 -0.40 -2.59 16 27 C 0.09 1.15 11.18 -17.54 -0.20 0.96 16 28 N -0.49 -7.47 10.36 -13.25 -0.14 -7.61 16 29 C 0.11 1.72 10.86 -17.55 -0.19 1.53 16 30 C -0.22 -2.88 8.69 -39.44 -0.34 -3.22 16 31 H 0.07 0.56 8.14 -51.93 -0.42 0.13 16 32 H 0.07 0.58 8.09 -51.93 -0.42 0.16 16 33 H 0.07 0.49 8.08 -51.93 -0.42 0.07 16 34 H 0.12 1.02 8.06 -52.49 -0.42 0.60 16 35 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 36 H 0.07 0.46 8.09 -51.93 -0.42 0.04 16 37 H 0.07 0.53 8.08 -51.93 -0.42 0.11 16 38 H 0.13 1.59 8.06 -52.49 -0.42 1.16 16 39 H 0.07 1.10 7.63 -51.93 -0.40 0.70 16 40 H 0.07 0.97 7.61 -51.93 -0.40 0.58 16 41 H 0.10 1.58 7.40 -51.93 -0.38 1.19 16 42 H 0.12 2.25 8.00 -51.93 -0.42 1.84 16 43 H 0.04 0.72 7.13 -51.93 -0.37 0.35 16 44 H 0.03 0.64 5.87 -51.93 -0.30 0.34 16 45 H 0.27 7.13 8.31 -40.82 -0.34 6.79 16 46 H 0.10 1.53 8.02 -51.93 -0.42 1.12 16 47 H 0.09 1.43 7.37 -51.93 -0.38 1.05 16 48 H 0.14 1.94 7.71 -52.49 -0.40 1.54 16 49 H 0.13 1.21 8.06 -52.49 -0.42 0.79 16 50 H 0.15 1.44 8.06 -52.49 -0.42 1.01 16 51 H 0.16 2.29 8.06 -52.49 -0.42 1.86 16 52 H 0.13 1.68 6.30 -52.49 -0.33 1.35 16 LS Contribution 433.53 15.07 6.53 6.53 Total: -1.00 -30.08 433.53 -10.23 -40.32 By element: Atomic # 1 Polarization: 15.96 SS G_CDS: -8.03 Total: 7.93 kcal Atomic # 6 Polarization: -5.91 SS G_CDS: -4.16 Total: -10.06 kcal Atomic # 7 Polarization: -43.44 SS G_CDS: 0.21 Total: -43.24 kcal Atomic # 8 Polarization: -16.04 SS G_CDS: -0.11 Total: -16.16 kcal Atomic # 14 Polarization: 19.35 SS G_CDS: -4.67 Total: 14.68 kcal Total LS contribution 6.53 Total: 6.53 kcal Total: -30.08 -10.23 -40.32 kcal The number of atoms in the molecule is 52 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. ZINC000069514337.mol2 52 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 14.350 kcal (2) G-P(sol) polarization free energy of solvation -30.084 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -15.734 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.232 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.315 kcal (6) G-S(sol) free energy of system = (1) + (5) -25.965 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds