Wall clock time and date at job start Tue Mar 31 2020 22:46:31 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 1.53001 * 1 3 3 C 1.52989 * 109.47112 * 2 1 4 4 O 1.42902 * 109.46747 * 120.00617 * 2 1 3 5 5 C 1.42895 * 113.99953 * 150.00188 * 4 2 1 6 6 C 1.50696 * 109.47276 * 179.97438 * 5 4 2 7 7 O 1.21287 * 120.00086 * 0.02562 * 6 5 4 8 8 N 1.34781 * 119.99889 * 179.97438 * 6 5 4 9 9 C 1.46507 * 119.99735 * 180.02562 * 8 6 5 10 10 H 1.09007 * 109.49572 * 325.06928 * 9 8 6 11 11 C 1.53628 * 109.45993 * 85.27636 * 9 8 6 12 12 N 1.46926 * 108.57418 * 174.76234 * 11 9 8 13 13 C 1.36941 * 120.64441 * 126.33697 * 12 11 9 14 14 H 1.07998 * 119.99891 * 207.53285 * 13 12 11 15 15 C 1.38814 * 119.99586 * 27.25233 * 13 12 11 16 16 N 1.31615 * 120.00383 * 17.94607 * 15 13 12 17 17 Si 1.86798 * 119.99595 * 197.94229 * 15 13 12 18 18 H 1.48497 * 109.47246 * 94.32387 * 17 15 13 19 19 H 1.48503 * 109.47075 * 214.32298 * 17 15 13 20 20 H 1.48503 * 109.47225 * 334.32215 * 17 15 13 21 21 C 1.46948 * 118.71061 * 306.05481 * 12 11 9 22 22 C 1.53102 * 108.75649 * 53.77789 * 21 12 11 23 23 C 1.53072 * 109.48799 * 185.26207 * 22 21 12 24 24 C 1.53121 * 109.15394 * 297.02148 * 23 22 21 25 25 O 1.42898 * 109.40623 * 302.52074 * 24 23 22 26 26 C 1.42904 * 114.13893 * 61.17815 * 25 24 23 27 27 C 1.53090 * 109.46182 * 65.58071 * 22 21 12 28 28 C 1.52928 * 109.48631 * 305.46008 * 22 21 12 29 29 H 1.08999 * 109.47291 * 300.00177 * 1 2 3 30 30 H 1.09008 * 109.47206 * 59.99633 * 1 2 3 31 31 H 1.08999 * 109.47711 * 179.97438 * 1 2 3 32 32 H 1.08997 * 109.46578 * 240.00033 * 2 1 3 33 33 H 1.08999 * 109.47712 * 299.99759 * 3 2 1 34 34 H 1.09001 * 109.46964 * 60.00244 * 3 2 1 35 35 H 1.09007 * 109.47234 * 179.97438 * 3 2 1 36 36 H 1.09003 * 109.47603 * 59.98973 * 5 4 2 37 37 H 1.09006 * 109.47132 * 299.99306 * 5 4 2 38 38 H 0.96989 * 120.00448 * 0.02562 * 8 6 5 39 39 H 1.09002 * 109.72899 * 55.01362 * 11 9 8 40 40 H 1.09000 * 109.65663 * 294.46519 * 11 9 8 41 41 H 0.96996 * 120.00362 * 179.97438 * 16 15 13 42 42 H 1.09004 * 109.58586 * 173.55664 * 21 12 11 43 43 H 1.08992 * 109.59196 * 293.84594 * 21 12 11 44 44 H 1.08997 * 109.52302 * 56.92246 * 23 22 21 45 45 H 1.08999 * 109.52395 * 177.11954 * 23 22 21 46 46 H 1.08999 * 109.47763 * 182.54405 * 24 23 22 47 47 H 1.09000 * 109.49530 * 62.51269 * 24 23 22 48 48 H 1.09003 * 109.48789 * 178.83530 * 26 25 24 49 49 H 1.09003 * 109.48720 * 58.78257 * 26 25 24 50 50 H 1.09000 * 109.52279 * 182.87528 * 27 22 21 51 51 H 1.08994 * 109.52774 * 303.00745 * 27 22 21 52 52 H 1.08997 * 109.46296 * 181.25614 * 28 22 21 53 53 H 1.09003 * 109.46561 * 301.22128 * 28 22 21 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 1.4424 0.0000 4 8 2.0063 -0.6738 1.1667 5 6 3.2659 -1.3246 0.9886 6 6 3.6697 -1.9981 2.2748 7 8 2.9495 -1.9280 3.2481 8 7 4.8308 -2.6791 2.3432 9 6 5.2231 -3.3343 3.5935 10 1 4.8903 -2.7327 4.4394 11 6 4.5790 -4.7272 3.6654 12 7 5.0837 -5.4149 4.8616 13 6 4.2169 -5.9417 5.7817 14 1 4.5179 -6.0368 6.8145 15 6 2.9494 -6.3482 5.3878 16 7 2.6934 -6.5641 4.1150 17 14 1.6071 -6.5887 6.6644 18 1 0.8024 -5.3457 6.7769 19 1 0.7276 -7.7121 6.2523 20 1 2.2241 -6.8996 7.9789 21 6 6.5365 -5.5321 5.0484 22 6 7.1588 -4.1363 4.9560 23 6 8.6840 -4.2521 5.0171 24 6 9.0894 -4.8389 6.3720 25 8 8.5797 -4.0113 7.4195 26 6 7.1547 -3.9066 7.4406 27 6 6.6713 -3.2818 6.1290 28 6 6.7461 -3.4799 3.6379 29 1 -0.3634 0.5138 0.8899 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0276 -0.0005 32 1 1.8932 -0.5138 -0.8900 33 1 1.6767 1.9563 -0.8900 34 1 1.6766 1.9562 0.8900 35 1 3.1300 1.4424 0.0005 36 1 4.0199 -0.5875 0.7124 37 1 3.1808 -2.0708 0.1986 38 1 5.4066 -2.7354 1.5647 39 1 4.8417 -5.3004 2.7762 40 1 3.4956 -4.6272 3.7312 41 1 1.8078 -6.8484 3.8398 42 1 6.7455 -5.9613 6.0284 43 1 6.9543 -6.1730 4.2721 44 1 9.0318 -4.9066 4.2179 45 1 9.1293 -3.2642 4.9000 46 1 10.1765 -4.8817 6.4389 47 1 8.6793 -5.8440 6.4706 48 1 6.8486 -3.2783 8.2771 49 1 6.7188 -4.8994 7.5527 50 1 7.0731 -2.2728 6.0364 51 1 5.5821 -3.2422 6.1229 52 1 7.2074 -2.4953 3.5624 53 1 7.0760 -4.1001 2.8044 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 ZINC001099569946.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 22:46:31 Heat of formation + Delta-G solvation = -113.793591 kcal Electronic energy + Delta-G solvation = -32071.671071 eV Core-core repulsion = 27943.774352 eV Total energy + Delta-G solvation = -4127.896719 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.36 seconds Orbital eigenvalues (eV) -40.15986 -39.31503 -38.00215 -36.76808 -34.12866 -33.75106 -32.84599 -31.06220 -30.58594 -30.03365 -27.65075 -27.21358 -26.58139 -25.40825 -23.42123 -23.00559 -21.86064 -21.43566 -20.62212 -19.93005 -17.94147 -17.04345 -16.89612 -16.66713 -15.94795 -15.78422 -15.62851 -15.10411 -14.94525 -14.66613 -14.52881 -14.09495 -14.03651 -13.67375 -13.62661 -13.52809 -12.89108 -12.80759 -12.56261 -12.38104 -12.36502 -12.25672 -12.06638 -12.01695 -11.79105 -11.54573 -11.19885 -11.08153 -10.90842 -10.85672 -10.75530 -10.68549 -10.42479 -10.24813 -10.12324 -10.02378 -9.72100 -9.70912 -9.38146 -9.36521 -8.94278 -8.54373 -8.42297 -6.68529 -5.77570 -3.20735 2.99817 3.06439 3.43364 3.49778 3.51911 4.05457 4.20393 4.52202 4.70172 4.84415 4.96727 4.98041 5.03370 5.07567 5.14537 5.17038 5.24515 5.38168 5.41037 5.43654 5.51517 5.54306 5.60977 5.62991 5.63760 5.69284 5.69762 5.81543 5.88223 5.94036 6.00800 6.04105 6.08257 6.11547 6.17921 6.22667 6.29933 6.43312 6.52426 6.67726 6.74183 6.78235 6.86434 6.92186 7.09517 7.27689 7.53480 7.70624 7.81423 7.92607 8.44961 8.67264 9.20343 9.84456 10.38686 11.30240 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009506 B = 0.003797 C = 0.002952 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2944.881840 B = 7373.272131 C = 9483.857780 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.078 3.922 3 C -0.175 4.175 4 O -0.355 6.355 5 C 0.046 3.954 6 C 0.509 3.491 7 O -0.510 6.510 8 N -0.722 5.722 9 C 0.117 3.883 10 H 0.086 0.914 11 C 0.166 3.834 12 N -0.582 5.582 13 C -0.258 4.258 14 H 0.066 0.934 15 C 0.010 3.990 16 N -0.897 5.897 17 Si 0.899 3.101 18 H -0.285 1.285 19 H -0.292 1.292 20 H -0.278 1.278 21 C 0.151 3.849 22 C -0.071 4.071 23 C -0.140 4.140 24 C 0.061 3.939 25 O -0.391 6.391 26 C 0.060 3.940 27 C -0.136 4.136 28 C -0.103 4.103 29 H 0.065 0.935 30 H 0.068 0.932 31 H 0.064 0.936 32 H 0.060 0.940 33 H 0.064 0.936 34 H 0.065 0.935 35 H 0.055 0.945 36 H 0.073 0.927 37 H 0.077 0.923 38 H 0.391 0.609 39 H 0.017 0.983 40 H 0.096 0.904 41 H 0.254 0.746 42 H 0.058 0.942 43 H 0.018 0.982 44 H 0.069 0.931 45 H 0.064 0.936 46 H 0.085 0.915 47 H 0.053 0.947 48 H 0.086 0.914 49 H 0.060 0.940 50 H 0.055 0.945 51 H 0.090 0.910 52 H 0.052 0.948 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.589 11.017 -8.938 16.089 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 -0.207 4.207 2 C 0.020 3.980 3 C -0.233 4.233 4 O -0.273 6.273 5 C -0.035 4.035 6 C 0.293 3.707 7 O -0.384 6.384 8 N -0.374 5.374 9 C 0.012 3.988 10 H 0.104 0.896 11 C 0.039 3.961 12 N -0.304 5.304 13 C -0.387 4.387 14 H 0.084 0.916 15 C -0.190 4.190 16 N -0.540 5.540 17 Si 0.729 3.271 18 H -0.212 1.212 19 H -0.218 1.218 20 H -0.203 1.203 21 C 0.025 3.975 22 C -0.074 4.074 23 C -0.178 4.178 24 C -0.015 4.015 25 O -0.310 6.310 26 C -0.016 4.016 27 C -0.174 4.174 28 C -0.141 4.141 29 H 0.084 0.916 30 H 0.086 0.914 31 H 0.083 0.917 32 H 0.078 0.922 33 H 0.083 0.917 34 H 0.084 0.916 35 H 0.074 0.926 36 H 0.091 0.909 37 H 0.095 0.905 38 H 0.224 0.776 39 H 0.035 0.965 40 H 0.114 0.886 41 H 0.064 0.936 42 H 0.076 0.924 43 H 0.036 0.964 44 H 0.087 0.913 45 H 0.083 0.917 46 H 0.103 0.897 47 H 0.071 0.929 48 H 0.104 0.896 49 H 0.078 0.922 50 H 0.073 0.927 51 H 0.109 0.891 52 H 0.071 0.929 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges 6.871 11.079 -7.956 15.273 hybrid contribution -0.448 -0.267 -0.509 0.729 sum 6.423 10.812 -8.465 15.160 Atomic orbital electron populations 1.21851 0.93401 1.03056 1.02405 1.22146 0.95367 0.92356 0.88117 1.22311 1.01418 0.96919 1.02626 1.88104 1.34828 1.69582 1.34793 1.22256 0.87808 0.96814 0.96592 1.20105 0.81706 0.79378 0.89536 1.90773 1.50885 1.59371 1.37378 1.45953 1.21870 1.54142 1.15464 1.22115 0.93864 0.97563 0.85248 0.89580 1.21207 1.00502 0.86083 0.88318 1.43916 0.99182 1.62981 1.24350 1.19103 0.94634 1.35902 0.89039 0.91603 1.24995 0.99388 0.98656 0.95918 1.70006 1.21111 1.48402 1.14529 0.86331 0.82305 0.77469 0.81013 1.21207 1.21821 1.20347 1.21075 0.85954 0.91530 0.98991 1.20988 0.93548 0.98633 0.94228 1.22168 0.96191 1.01517 0.97952 1.22533 0.98415 0.93782 0.86813 1.87839 1.21802 1.69979 1.51396 1.22639 0.80213 1.01044 0.97679 1.22130 1.03061 0.97906 0.94277 1.21682 0.95247 0.99618 0.97601 0.91608 0.91356 0.91731 0.92178 0.91699 0.91600 0.92579 0.90947 0.90524 0.77600 0.96513 0.88606 0.93627 0.92402 0.96389 0.91251 0.91740 0.89728 0.92874 0.89620 0.92160 0.92659 0.89128 0.92913 0.92143 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.49 9.56 37.16 0.36 -1.14 16 2 C 0.08 0.84 3.34 -26.74 -0.09 0.75 16 3 C -0.18 -1.57 9.53 37.15 0.35 -1.21 16 4 O -0.35 -5.38 9.52 -55.14 -0.52 -5.91 16 5 C 0.05 0.59 6.23 36.00 0.22 0.82 16 6 C 0.51 9.01 7.88 -10.99 -0.09 8.93 16 7 O -0.51 -11.95 16.16 -14.36 -0.23 -12.19 16 8 N -0.72 -11.35 5.08 -53.45 -0.27 -11.62 16 9 C 0.12 2.20 2.28 -67.57 -0.15 2.04 16 10 H 0.09 1.86 5.86 -51.93 -0.30 1.55 16 11 C 0.17 3.91 4.92 -3.48 -0.02 3.89 16 12 N -0.58 -13.98 2.39 -172.09 -0.41 -14.39 16 13 C -0.26 -6.94 9.59 -15.06 -0.14 -7.09 16 14 H 0.07 1.74 7.89 -52.49 -0.41 1.33 16 15 C 0.01 0.28 4.90 -17.43 -0.09 0.19 16 16 N -0.90 -26.37 11.19 55.49 0.62 -25.75 16 17 Si 0.90 22.39 29.59 -169.99 -5.03 17.36 16 18 H -0.29 -7.29 7.11 56.52 0.40 -6.89 16 19 H -0.29 -7.30 7.11 56.52 0.40 -6.89 16 20 H -0.28 -6.69 7.11 56.52 0.40 -6.29 16 21 C 0.15 2.97 4.60 -3.74 -0.02 2.95 16 22 C -0.07 -1.15 0.52 -154.41 -0.08 -1.23 16 23 C -0.14 -1.87 4.93 -26.63 -0.13 -2.00 16 24 C 0.06 0.83 6.57 37.22 0.24 1.07 16 25 O -0.39 -6.17 10.76 -35.23 -0.38 -6.55 16 26 C 0.06 0.98 6.57 37.22 0.24 1.22 16 27 C -0.14 -2.29 4.37 -26.62 -0.12 -2.41 16 28 C -0.10 -1.60 4.19 -26.74 -0.11 -1.71 16 29 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 30 H 0.07 0.50 8.14 -51.92 -0.42 0.08 16 31 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 32 H 0.06 0.53 7.79 -51.93 -0.40 0.13 16 33 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 34 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 35 H 0.06 0.47 7.87 -51.92 -0.41 0.06 16 36 H 0.07 0.71 7.87 -51.93 -0.41 0.30 16 37 H 0.08 0.83 8.09 -51.93 -0.42 0.41 16 38 H 0.39 4.59 8.60 -40.82 -0.35 4.24 16 39 H 0.02 0.41 8.14 -51.93 -0.42 -0.01 16 40 H 0.10 2.71 6.02 -51.93 -0.31 2.40 16 41 H 0.25 7.31 8.31 -40.82 -0.34 6.97 16 42 H 0.06 1.14 4.84 -51.93 -0.25 0.89 16 43 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 44 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 45 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 46 H 0.08 0.95 8.14 -51.93 -0.42 0.53 16 47 H 0.05 0.74 6.74 -51.93 -0.35 0.39 16 48 H 0.09 1.27 8.14 -51.93 -0.42 0.85 16 49 H 0.06 1.05 6.48 -51.93 -0.34 0.72 16 50 H 0.05 0.88 8.14 -51.93 -0.42 0.45 16 51 H 0.09 1.80 6.09 -51.93 -0.32 1.48 16 52 H 0.05 0.73 8.14 -51.93 -0.42 0.31 16 53 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 LS Contribution 402.41 15.07 6.06 6.06 Total: -1.00 -33.78 402.41 -9.11 -42.88 By element: Atomic # 1 Polarization: 14.36 SS G_CDS: -9.33 Total: 5.03 kcal Atomic # 6 Polarization: 4.69 SS G_CDS: 0.39 Total: 5.08 kcal Atomic # 7 Polarization: -51.71 SS G_CDS: -0.06 Total: -51.77 kcal Atomic # 8 Polarization: -23.51 SS G_CDS: -1.14 Total: -24.64 kcal Atomic # 14 Polarization: 22.39 SS G_CDS: -5.03 Total: 17.36 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.78 -9.11 -42.88 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. ZINC001099569946.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 -70.911 kcal (2) G-P(sol) polarization free energy of solvation -33.777 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -104.688 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.105 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.883 kcal (6) G-S(sol) free energy of system = (1) + (5) -113.794 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.36 seconds