Wall clock time and date at job start Sun Mar 7 2021 03:27:47 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= 0 * 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 O 1.45194 * 1 3 3 C 1.34712 * 116.99949 * 2 1 4 4 O 1.21476 * 120.00104 * 359.97438 * 3 2 1 5 5 C 1.47727 * 120.00076 * 179.97438 * 3 2 1 6 6 C 1.39609 * 120.14663 * 186.43155 * 5 3 2 7 7 C 1.50707 * 120.07900 * 0.02562 * 6 5 3 8 8 H 1.09002 * 112.90445 * 18.99858 * 7 6 5 9 9 C 1.53779 * 113.61526 * 150.24432 * 7 6 5 10 10 C 1.53782 * 87.07823 * 139.98266 * 9 7 6 11 11 H 1.08998 * 113.68842 * 220.00842 * 10 9 7 12 12 N 1.46497 * 113.61259 * 89.11941 * 10 9 7 13 13 C 1.34776 * 120.00009 * 107.50232 * 12 10 9 14 14 O 1.21287 * 120.00125 * 0.02562 * 13 12 10 15 15 C 1.50697 * 120.00012 * 179.97438 * 13 12 10 16 16 O 1.42902 * 109.47247 * 180.02562 * 15 13 12 17 17 C 1.35903 * 117.00032 * 179.97438 * 16 15 13 18 18 C 1.38712 * 120.05555 * 179.97438 * 17 16 15 19 19 C 1.50701 * 120.02753 * 0.04796 * 18 17 16 20 20 O 1.42905 * 109.47018 * 284.99679 * 19 18 17 21 21 Si 1.86294 * 109.47037 * 164.99763 * 19 18 17 22 22 C 1.38165 * 119.94375 * 180.02562 * 18 17 16 23 23 C 1.38247 * 120.05323 * 359.97438 * 22 18 17 24 24 C 1.38279 * 120.11471 * 0.02562 * 23 22 18 25 25 C 1.38130 * 120.05604 * 0.02562 * 24 23 22 26 26 C 1.53778 * 113.61334 * 247.74444 * 7 6 5 27 27 C 1.37966 * 119.84796 * 179.72374 * 6 5 3 28 28 C 1.38350 * 120.14899 * 0.30119 * 27 6 5 29 29 C 1.38391 * 120.30009 * 359.97438 * 28 27 6 30 30 C 1.37925 * 120.15420 * 359.96274 * 29 28 27 31 31 H 1.09004 * 109.47104 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.47845 * 300.00015 * 1 2 3 33 33 H 1.08999 * 109.47569 * 60.00598 * 1 2 3 34 34 H 1.08999 * 113.61474 * 25.43310 * 9 7 6 35 35 H 1.09002 * 113.61469 * 254.53206 * 9 7 6 36 36 H 0.97003 * 119.99996 * 287.49691 * 12 10 9 37 37 H 1.09001 * 109.47325 * 59.99742 * 15 13 12 38 38 H 1.09007 * 109.47047 * 300.00006 * 15 13 12 39 39 H 1.09003 * 109.47132 * 44.99450 * 19 18 17 40 40 H 0.96694 * 113.99699 * 300.00146 * 20 19 18 41 41 H 1.48497 * 110.00383 * 58.68221 * 21 19 18 42 42 H 1.48502 * 109.99946 * 180.02562 * 21 19 18 43 43 H 1.08001 * 119.97292 * 179.97438 * 22 18 17 44 44 H 1.07999 * 119.93894 * 180.27719 * 23 22 18 45 45 H 1.07999 * 119.97626 * 180.02562 * 24 23 22 46 46 H 1.08003 * 120.02618 * 179.97438 * 25 24 23 47 47 H 1.09004 * 113.61094 * 105.47092 * 26 7 6 48 48 H 1.08995 * 113.69013 * 334.57502 * 26 7 6 49 49 H 1.07995 * 119.92890 * 180.27749 * 27 6 5 50 50 H 1.07990 * 119.84894 * 179.97438 * 28 27 6 51 51 H 1.08000 * 119.92533 * 179.97438 * 29 28 27 52 52 H 1.07995 * 120.07675 * 180.02562 * 30 29 28 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 8 1.4519 0.0000 0.0000 3 6 2.0635 1.2003 0.0000 4 8 1.4019 2.2191 -0.0005 5 6 3.5388 1.2776 0.0006 6 6 4.1761 2.5124 0.1358 7 6 3.3606 3.7713 0.2823 8 1 2.3346 3.5781 0.5956 9 6 4.0600 4.8661 1.1052 10 6 3.5030 5.8762 0.0882 11 1 4.2068 6.6657 -0.1753 12 7 2.1764 6.3900 0.4378 13 6 2.0386 7.6567 0.8770 14 8 3.0128 8.3715 0.9823 15 6 0.6738 8.1854 1.2361 16 8 0.7877 9.5420 1.6706 17 6 -0.3604 10.1721 2.0336 18 6 -0.3231 11.4896 2.4660 19 6 0.9909 12.2244 2.5327 20 8 1.7364 11.7657 3.6624 21 14 0.6724 14.0523 2.6996 22 6 -1.4917 12.1277 2.8349 23 6 -2.6975 11.4544 2.7729 24 6 -2.7374 10.1410 2.3423 25 6 -1.5718 9.4982 1.9733 26 6 3.4684 4.7189 -0.9239 27 6 5.5542 2.5769 0.1413 28 6 6.3044 1.4222 0.0069 29 6 5.6790 0.1956 -0.1333 30 6 4.3020 0.1166 -0.1391 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3635 0.5138 0.8899 33 1 -0.3634 0.5137 -0.8900 34 1 5.1474 4.7916 1.0959 35 1 3.6515 4.9862 2.1086 36 1 1.3971 5.8185 0.3532 37 1 0.2494 7.5811 2.0379 38 1 0.0241 8.1375 0.3622 39 1 1.5592 12.0362 1.6217 40 1 1.2901 11.9014 4.5094 41 1 -0.1288 14.3189 3.9211 42 1 1.9605 14.7883 2.7658 43 1 -1.4631 13.1534 3.1720 44 1 -3.6104 11.9564 3.0575 45 1 -3.6807 9.6173 2.2943 46 1 -1.6035 8.4722 1.6374 47 1 2.5822 4.7203 -1.5586 48 1 4.3935 4.6052 -1.4889 49 1 6.0486 3.5308 0.2503 50 1 7.3828 1.4783 0.0114 51 1 6.2705 -0.7019 -0.2382 52 1 3.8153 -0.8413 -0.2482 There are 73 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 73 No. of singly occupied orbitals= 1 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=0 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 s_22_15105874_2989392.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 03:27:47 Heat of formation + Delta-G solvation = -83.061695 kcal Electronic energy + Delta-G solvation = -36544.982450 eV Core-core repulsion = 31636.473297 eV Total energy + Delta-G solvation = -4908.509154 eV No. of doubly occupied orbitals = 73 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 398.165 amu Computer time = 1.40 seconds Orbital eigenvalues (eV) -42.11040 -41.54467 -40.96146 -40.06766 -38.96516 -38.20355 -37.49509 -37.42989 -34.58583 -32.73760 -32.66895 -32.00189 -31.18956 -29.36525 -28.80219 -26.77357 -26.59089 -26.27105 -24.88059 -23.81598 -22.94325 -22.57115 -21.98362 -21.66361 -20.23281 -19.46232 -19.05887 -18.31930 -18.10015 -17.92614 -17.46805 -17.42891 -17.22890 -16.87872 -16.83182 -16.48675 -16.18442 -15.84974 -15.73873 -15.59550 -15.47139 -15.09512 -15.06853 -14.96723 -14.72149 -14.59247 -14.14394 -14.08853 -13.92388 -13.62285 -13.52936 -13.48087 -13.26108 -13.12022 -13.00923 -12.99305 -12.57487 -12.46627 -12.39337 -12.13827 -11.85261 -11.80398 -11.73762 -11.53200 -11.41783 -10.83345 -10.71292 -10.36757 -10.13934 -10.07661 -9.98259 -9.81291 -9.18652 -4.86855 -0.38643 0.22975 0.23709 0.42850 1.40343 1.47120 1.49159 1.55427 1.62813 1.65559 2.06383 2.60041 2.64198 2.69726 3.39929 3.50044 3.54843 3.57629 3.62258 3.67379 3.76454 3.81064 3.82660 3.89196 3.90152 3.96337 3.99865 4.04810 4.07382 4.17477 4.18198 4.27682 4.28572 4.32049 4.35739 4.51044 4.53826 4.64121 4.66406 4.71228 4.73696 4.82543 4.88279 4.92902 4.99424 5.00362 5.08263 5.19421 5.25123 5.27955 5.33646 5.36133 5.46795 5.49916 5.69550 5.72254 5.76544 6.28893 6.45109 6.62932 6.68379 7.17509 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.036 3.964 2 O -0.354 6.354 3 C 0.512 3.488 4 O -0.501 6.501 5 C -0.131 4.131 6 C -0.002 4.002 7 C -0.104 4.104 8 H 0.142 0.858 9 C -0.149 4.149 10 C 0.125 3.875 11 H 0.107 0.893 12 N -0.710 5.710 13 C 0.518 3.482 14 O -0.508 6.508 15 C 0.039 3.961 16 O -0.277 6.277 17 C 0.152 3.848 18 C -0.146 4.146 19 C -0.065 4.065 20 O -0.520 6.520 21 Si 0.689 3.311 22 C -0.084 4.084 23 C -0.152 4.152 24 C -0.072 4.072 25 C -0.212 4.212 26 C -0.128 4.128 27 C -0.133 4.133 28 C -0.076 4.076 29 C -0.138 4.138 30 C -0.059 4.059 31 H 0.104 0.896 32 H 0.065 0.935 33 H 0.065 0.935 34 H 0.095 0.905 35 H 0.075 0.925 36 H 0.404 0.596 37 H 0.093 0.907 38 H 0.095 0.905 39 H 0.118 0.882 40 H 0.370 0.630 41 H -0.260 1.260 42 H -0.257 1.257 43 H 0.135 0.865 44 H 0.129 0.871 45 H 0.128 0.872 46 H 0.130 0.870 47 H 0.078 0.922 48 H 0.096 0.904 49 H 0.136 0.864 50 H 0.131 0.869 51 H 0.133 0.867 52 H 0.138 0.862 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.018 -5.246 -2.299 6.996 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 -0.057 4.057 2 O -0.271 6.271 3 C 0.358 3.642 4 O -0.391 6.391 5 C -0.132 4.132 6 C -0.003 4.003 7 C -0.121 4.121 8 H 0.159 0.841 9 C -0.187 4.187 10 C 0.020 3.980 11 H 0.125 0.875 12 N -0.363 5.363 13 C 0.303 3.697 14 O -0.381 6.381 15 C -0.040 4.040 16 O -0.189 6.189 17 C 0.106 3.894 18 C -0.147 4.147 19 C -0.175 4.175 20 O -0.325 6.325 21 Si 0.590 3.410 22 C -0.101 4.101 23 C -0.170 4.170 24 C -0.090 4.090 25 C -0.231 4.231 26 C -0.166 4.166 27 C -0.151 4.151 28 C -0.094 4.094 29 C -0.156 4.156 30 C -0.077 4.077 31 H 0.123 0.877 32 H 0.084 0.916 33 H 0.084 0.916 34 H 0.113 0.887 35 H 0.093 0.907 36 H 0.239 0.761 37 H 0.111 0.889 38 H 0.112 0.888 39 H 0.136 0.864 40 H 0.216 0.784 41 H -0.186 1.186 42 H -0.182 1.182 43 H 0.152 0.848 44 H 0.147 0.853 45 H 0.146 0.854 46 H 0.147 0.853 47 H 0.097 0.903 48 H 0.114 0.886 49 H 0.153 0.847 50 H 0.149 0.851 51 H 0.151 0.849 52 H 0.156 0.844 Dipole moment (debyes) X Y Z Total from point charges -2.784 -3.786 -2.205 5.191 hybrid contribution -0.724 -1.381 0.963 1.833 sum -3.508 -5.167 -1.242 6.368 Atomic orbital electron populations 1.23332 0.75464 1.04146 1.02775 1.86554 1.23945 1.32536 1.84044 1.21262 0.89124 0.81427 0.72351 1.90624 1.66936 1.35158 1.46408 1.18933 0.88942 0.94727 1.10647 1.19819 0.93718 0.93122 0.93606 1.22506 1.02067 0.89826 0.97732 0.84057 1.23637 1.01103 0.94949 0.99024 1.21791 0.84705 0.95701 0.95844 0.87494 1.45485 1.10041 1.12882 1.67916 1.20004 0.90274 0.81898 0.77545 1.90798 1.39948 1.56766 1.50557 1.22466 0.96343 0.83641 1.01521 1.86235 1.28885 1.24368 1.79396 1.18800 0.84755 0.91658 0.94143 1.19636 0.96468 0.92773 1.05808 1.24906 0.91636 1.08325 0.92618 1.86708 1.46242 1.83413 1.16159 0.95122 0.82367 0.75177 0.88289 1.21042 0.91636 0.99789 0.97651 1.21057 0.97915 0.95103 1.02905 1.21023 0.97673 0.94628 0.95712 1.21305 0.92379 1.01124 1.08286 1.23301 1.03596 0.93606 0.96057 1.21084 0.92706 0.99338 1.01942 1.21507 1.00630 0.92361 0.94945 1.21214 0.94339 0.98418 1.01629 1.21489 0.94065 0.97770 0.94368 0.87744 0.91647 0.91598 0.88699 0.90666 0.76068 0.88871 0.88765 0.86416 0.78382 1.18575 1.18203 0.84786 0.85345 0.85389 0.85266 0.90323 0.88588 0.84668 0.85066 0.84936 0.84398 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 0.04 -0.06 10.56 101.05 1.07 1.01 16 2 O -0.35 -0.31 9.84 -40.52 -0.40 -0.70 16 3 C 0.51 0.92 7.85 34.61 0.27 1.19 16 4 O -0.50 -1.35 12.90 -19.25 -0.25 -1.60 16 5 C -0.13 -0.14 5.87 -104.98 -0.62 -0.76 16 6 C 0.00 0.00 5.31 -104.21 -0.55 -0.55 16 7 C -0.10 -0.01 3.14 -90.96 -0.29 -0.29 16 8 H 0.14 0.17 4.89 -52.63 -0.26 -0.09 16 9 C -0.15 0.01 7.23 -25.92 -0.19 -0.18 16 10 C 0.12 0.04 4.32 -67.12 -0.29 -0.25 16 11 H 0.11 0.20 7.46 -51.93 -0.39 -0.19 16 12 N -0.71 0.01 5.26 -53.02 -0.28 -0.27 16 13 C 0.52 1.41 7.91 -10.99 -0.09 1.32 16 14 O -0.51 -3.86 16.10 -14.36 -0.23 -4.10 16 15 C 0.04 0.02 5.22 36.00 0.19 0.20 16 16 O -0.28 -1.12 9.00 -39.34 -0.35 -1.47 16 17 C 0.15 0.41 6.66 -39.22 -0.26 0.15 16 18 C -0.15 -0.33 5.27 -104.47 -0.55 -0.88 16 19 C -0.07 -0.18 2.38 36.01 0.09 -0.09 16 20 O -0.52 -2.36 12.88 -35.23 -0.45 -2.81 16 21 Si 0.69 0.46 30.25 -169.99 -5.14 -4.68 16 22 C -0.08 -0.05 8.66 -39.60 -0.34 -0.39 16 23 C -0.15 0.02 10.04 -39.56 -0.40 -0.38 16 24 C -0.07 0.02 10.04 -39.61 -0.40 -0.38 16 25 C -0.21 -0.10 9.04 -39.43 -0.36 -0.46 16 26 C -0.13 0.08 7.32 -25.92 -0.19 -0.11 16 27 C -0.13 0.09 9.02 -39.64 -0.36 -0.26 16 28 C -0.08 0.10 10.04 -39.48 -0.40 -0.29 16 29 C -0.14 0.17 10.03 -39.64 -0.40 -0.23 16 30 C -0.06 0.01 9.62 -39.17 -0.38 -0.36 16 31 H 0.10 -0.40 8.14 -51.93 -0.42 -0.82 16 32 H 0.06 -0.11 8.14 -51.93 -0.42 -0.54 16 33 H 0.07 -0.12 8.14 -51.93 -0.42 -0.54 16 34 H 0.09 -0.09 5.96 -51.93 -0.31 -0.40 16 35 H 0.07 0.07 8.14 -51.93 -0.42 -0.35 16 36 H 0.40 -0.93 8.70 -40.82 -0.36 -1.29 16 37 H 0.09 -0.17 7.66 -51.93 -0.40 -0.56 16 38 H 0.09 -0.21 7.66 -51.93 -0.40 -0.61 16 39 H 0.12 0.43 7.83 -51.93 -0.41 0.03 16 40 H 0.37 0.38 8.70 45.56 0.40 0.78 16 41 H -0.26 -0.44 6.68 56.52 0.38 -0.06 16 42 H -0.26 -1.04 7.11 56.52 0.40 -0.64 16 43 H 0.13 -0.11 4.86 -52.49 -0.26 -0.37 16 44 H 0.13 -0.27 8.06 -52.49 -0.42 -0.69 16 45 H 0.13 -0.30 8.06 -52.49 -0.42 -0.73 16 46 H 0.13 -0.24 6.30 -52.48 -0.33 -0.57 16 47 H 0.08 -0.04 8.14 -51.93 -0.42 -0.46 16 48 H 0.10 -0.12 7.99 -51.93 -0.41 -0.54 16 49 H 0.14 -0.30 6.20 -52.49 -0.33 -0.62 16 50 H 0.13 -0.44 8.06 -52.49 -0.42 -0.86 16 51 H 0.13 -0.42 8.06 -52.49 -0.42 -0.84 16 52 H 0.14 -0.20 7.63 -52.49 -0.40 -0.60 16 LS Contribution 430.33 15.07 6.48 6.48 Total: 0.00 -10.80 430.33 -11.92 -22.72 By element: Atomic # 1 Polarization: -4.70 SS G_CDS: -6.87 Total: -11.56 kcal Atomic # 6 Polarization: 2.43 SS G_CDS: -4.43 Total: -2.00 kcal Atomic # 7 Polarization: 0.01 SS G_CDS: -0.28 Total: -0.27 kcal Atomic # 8 Polarization: -9.00 SS G_CDS: -1.69 Total: -10.69 kcal Atomic # 14 Polarization: 0.46 SS G_CDS: -5.14 Total: -4.68 kcal Total LS contribution 6.48 Total: 6.48 kcal Total: -10.80 -11.92 -22.72 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. s_22_15105874_2989392.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 -60.344 kcal (2) G-P(sol) polarization free energy of solvation -10.797 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -71.141 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.921 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -22.718 kcal (6) G-S(sol) free energy of system = (1) + (5) -83.062 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.40 seconds