Wall clock time and date at job start Sun Mar 7 2021 01:04:41 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.45196 * 1 3 3 C 1.34233 * 117.00339 * 2 1 4 4 O 1.20824 * 119.99374 * 0.02562 * 3 2 1 5 5 C 1.50701 * 120.00318 * 180.02562 * 3 2 1 6 6 H 1.09000 * 112.90175 * 48.75160 * 5 3 2 7 7 C 1.53776 * 113.61456 * 180.02562 * 5 3 2 8 8 C 1.53781 * 87.08128 * 139.98058 * 7 5 3 9 9 C 1.53000 * 113.60950 * 89.11501 * 8 7 5 10 10 N 1.46498 * 109.47219 * 60.31785 * 9 8 7 11 11 C 1.34780 * 119.99897 * 175.25950 * 10 9 8 12 12 O 1.21271 * 120.00347 * 359.71443 * 11 10 9 13 13 C 1.50700 * 119.99676 * 179.97438 * 11 10 9 14 14 O 1.42905 * 109.47124 * 179.71922 * 13 11 10 15 15 C 1.35997 * 117.00194 * 179.97438 * 14 13 11 16 16 C 1.39151 * 120.07135 * 179.72887 * 15 14 13 17 17 O 1.35994 * 120.07741 * 359.97438 * 16 15 14 18 18 C 1.42894 * 117.00419 * 180.02562 * 17 16 15 19 19 C 1.38569 * 119.85208 * 179.70570 * 16 15 14 20 20 C 1.38240 * 119.99512 * 0.56781 * 19 16 15 21 21 C 1.50704 * 119.92432 * 179.74998 * 20 19 16 22 22 O 1.42896 * 109.46882 * 254.97851 * 21 20 19 23 23 Si 1.86295 * 109.47009 * 14.97678 * 21 20 19 24 24 C 1.38255 * 120.14968 * 359.72651 * 20 19 16 25 25 N 1.48003 * 119.92557 * 180.02562 * 24 20 19 26 26 O 1.21804 * 120.00153 * 179.97438 * 25 24 20 27 27 O 1.21803 * 120.00448 * 359.97438 * 25 24 20 28 28 C 1.38237 * 120.14431 * 359.97438 * 24 20 19 29 29 O 1.42893 * 113.61505 * 219.93351 * 8 7 5 30 30 C 1.42904 * 113.99961 * 163.27724 * 29 8 7 31 31 C 1.53774 * 113.61300 * 277.50151 * 5 3 2 32 32 H 1.09002 * 109.47084 * 180.02562 * 1 2 3 33 33 H 1.09007 * 109.47015 * 299.99515 * 1 2 3 34 34 H 1.08997 * 109.47291 * 59.99442 * 1 2 3 35 35 H 1.09003 * 113.61706 * 25.43193 * 7 5 3 36 36 H 1.09005 * 113.61494 * 254.53162 * 7 5 3 37 37 H 1.08992 * 109.47442 * 300.31261 * 9 8 7 38 38 H 1.09003 * 109.46786 * 180.30940 * 9 8 7 39 39 H 0.96996 * 120.00481 * 355.25002 * 10 9 8 40 40 H 1.08998 * 109.47114 * 299.71948 * 13 11 10 41 41 H 1.08997 * 109.47677 * 59.72200 * 13 11 10 42 42 H 1.09004 * 109.46913 * 300.00406 * 18 17 16 43 43 H 1.09003 * 109.46867 * 60.00123 * 18 17 16 44 44 H 1.08994 * 109.47127 * 179.97438 * 18 17 16 45 45 H 1.07991 * 120.00101 * 180.29315 * 19 16 15 46 46 H 1.09004 * 109.46883 * 134.98029 * 21 20 19 47 47 H 0.96708 * 114.00239 * 180.02562 * 22 21 20 48 48 H 1.48490 * 110.00331 * 299.99955 * 23 21 20 49 49 H 1.48497 * 110.00225 * 61.32360 * 23 21 20 50 50 H 1.08005 * 119.99913 * 180.02562 * 28 24 20 51 51 H 1.08993 * 109.46942 * 296.35537 * 30 29 8 52 52 H 1.08996 * 109.46690 * 56.36065 * 30 29 8 53 53 H 1.08998 * 109.46833 * 176.35475 * 30 29 8 54 54 H 1.09003 * 113.61850 * 105.47285 * 31 5 3 55 55 H 1.08997 * 113.61927 * 334.56651 * 31 5 3 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 1.4520 0.0000 0.0000 3 6 2.0614 1.1960 0.0000 4 8 1.4033 2.2093 0.0005 5 6 3.5664 1.2749 -0.0006 6 1 4.0243 0.6361 -0.7558 7 6 4.1078 2.7142 0.0001 8 6 5.1815 2.2261 0.9870 9 6 6.4442 1.6950 0.3054 10 7 7.0496 2.7595 -0.4987 11 6 8.2289 2.5495 -1.1164 12 8 8.7915 1.4812 -1.0024 13 6 8.8514 3.6443 -1.9441 14 8 10.0914 3.1852 -2.4862 15 6 10.7860 4.0580 -3.2642 16 6 12.0041 3.6794 -3.8201 17 8 12.5030 2.4361 -3.5864 18 6 13.7587 2.1169 -4.1889 19 6 12.7051 4.5702 -4.6171 20 6 12.1996 5.8359 -4.8487 21 6 12.9661 6.8053 -5.7112 22 8 13.5836 7.7934 -4.8839 23 14 14.2766 5.8864 -6.6645 24 6 10.9923 6.2141 -4.2913 25 7 10.4554 7.5702 -4.5430 26 8 9.3917 7.9047 -4.0530 27 8 11.0773 8.3518 -5.2401 28 6 10.2850 5.3281 -3.5004 29 8 5.4653 3.1589 2.0315 30 6 6.1580 2.5915 3.1452 31 6 4.1917 1.1231 1.3961 32 1 -0.3633 -1.0277 0.0005 33 1 -0.3633 0.5138 0.8901 34 1 -0.3634 0.5139 -0.8899 35 1 3.4175 3.4402 0.4298 36 1 4.5105 3.0297 -0.9624 37 1 6.1834 0.8560 -0.3396 38 1 7.1542 1.3638 1.0633 39 1 6.6017 3.6153 -0.5867 40 1 8.1769 3.9135 -2.7569 41 1 9.0304 4.5173 -1.3164 42 1 13.6731 2.1992 -5.2725 43 1 14.5200 2.8100 -3.8309 44 1 14.0410 1.0984 -3.9227 45 1 13.6484 4.2773 -5.0537 46 1 12.2827 7.2905 -6.4081 47 1 14.0949 8.4525 -5.3733 48 1 15.2148 5.2206 -5.7257 49 1 13.6452 4.8775 -7.5525 50 1 9.3418 5.6259 -3.0664 51 1 5.5281 1.8394 3.6200 52 1 7.0815 2.1267 2.8000 53 1 6.3929 3.3757 3.8649 54 1 4.6622 0.1538 1.5609 55 1 3.5244 1.4142 2.2073 There are 82 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 82 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=WATER s_22_15102698_4549636.mol2 55 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 01:04:41 Heat of formation + Delta-G solvation = -185.663316 kcal Electronic energy + Delta-G solvation = -44427.017762 eV Core-core repulsion = 38403.045592 eV Total energy + Delta-G solvation = -6023.972170 eV No. of doubly occupied orbitals = 82 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 441.174 amu Computer time = 1.68 seconds Orbital eigenvalues (eV) -43.46081 -42.33704 -42.17970 -41.17877 -40.49452 -39.63548 -39.13174 -37.80430 -37.74610 -37.13756 -36.88870 -35.60936 -32.87562 -32.71263 -30.87654 -29.56390 -29.03029 -28.15495 -28.07533 -27.93538 -26.72628 -25.87615 -25.42924 -23.99047 -23.17450 -22.13002 -21.82091 -20.81743 -20.25203 -19.89364 -19.58471 -19.31748 -18.89460 -18.70447 -18.32065 -18.23266 -18.05589 -17.85184 -17.77869 -17.54716 -17.07855 -17.01374 -16.70305 -16.56900 -16.27172 -16.09234 -15.98601 -15.83845 -15.45198 -15.44712 -14.97697 -14.72417 -14.53326 -14.36326 -14.31928 -14.17332 -14.01290 -13.73667 -13.66911 -13.54945 -13.28373 -13.05256 -13.01069 -12.73890 -12.72199 -12.68617 -12.64239 -12.51683 -12.44811 -12.39794 -12.21919 -12.11005 -11.92055 -11.88314 -11.62050 -11.44012 -11.22435 -10.67121 -10.63386 -10.33520 -10.24035 -9.61758 -5.00621 -1.40507 -0.57500 0.10550 0.22917 1.00681 1.12045 1.14983 1.32766 1.57310 1.62933 1.70248 1.77189 1.80331 2.18207 2.66354 2.81663 3.02699 3.11182 3.17438 3.18999 3.30397 3.32809 3.38129 3.51267 3.72515 3.76352 3.80367 3.86142 3.88783 3.92846 3.99717 4.07808 4.07836 4.10553 4.21081 4.22593 4.23436 4.26336 4.33627 4.47346 4.50803 4.53360 4.55576 4.57367 4.60427 4.60916 4.67098 4.79392 4.81788 4.87168 5.04021 5.14371 5.22552 5.29516 5.43389 5.88465 6.07459 6.28050 6.49297 6.60143 6.83974 6.96948 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.027 3.973 2 O -0.362 6.362 3 C 0.471 3.529 4 O -0.536 6.536 5 C -0.106 4.106 6 H 0.154 0.846 7 C -0.100 4.100 8 C 0.083 3.917 9 C 0.116 3.884 10 N -0.705 5.705 11 C 0.521 3.479 12 O -0.562 6.562 13 C 0.024 3.976 14 O -0.288 6.288 15 C 0.104 3.896 16 C 0.164 3.836 17 O -0.304 6.304 18 C 0.004 3.996 19 C -0.187 4.187 20 C -0.004 4.004 21 C -0.101 4.101 22 O -0.553 6.553 23 Si 0.778 3.222 24 C -0.043 4.043 25 N 0.037 4.963 26 O -0.194 6.194 27 O -0.139 6.139 28 C -0.107 4.107 29 O -0.378 6.378 30 C 0.021 3.979 31 C -0.131 4.131 32 H 0.129 0.871 33 H 0.061 0.939 34 H 0.061 0.939 35 H 0.095 0.905 36 H 0.105 0.895 37 H 0.095 0.905 38 H 0.076 0.924 39 H 0.420 0.580 40 H 0.132 0.868 41 H 0.127 0.873 42 H 0.073 0.927 43 H 0.072 0.928 44 H 0.132 0.868 45 H 0.170 0.830 46 H 0.101 0.899 47 H 0.408 0.592 48 H -0.268 1.268 49 H -0.277 1.277 50 H 0.190 0.810 51 H 0.054 0.946 52 H 0.047 0.953 53 H 0.093 0.907 54 H 0.109 0.891 55 H 0.096 0.904 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.662 -2.922 -2.105 4.478 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 -0.066 4.066 2 O -0.278 6.278 3 C 0.315 3.685 4 O -0.425 6.425 5 C -0.125 4.125 6 H 0.172 0.828 7 C -0.138 4.138 8 C 0.043 3.957 9 C -0.007 4.007 10 N -0.359 5.359 11 C 0.306 3.694 12 O -0.440 6.440 13 C -0.054 4.054 14 O -0.201 6.201 15 C 0.057 3.943 16 C 0.116 3.884 17 O -0.215 6.215 18 C -0.090 4.090 19 C -0.206 4.206 20 C -0.006 4.006 21 C -0.209 4.209 22 O -0.364 6.364 23 Si 0.680 3.320 24 C -0.127 4.127 25 N 0.552 4.448 26 O -0.401 6.401 27 O -0.360 6.360 28 C -0.127 4.127 29 O -0.297 6.297 30 C -0.075 4.075 31 C -0.170 4.170 32 H 0.147 0.853 33 H 0.079 0.921 34 H 0.080 0.920 35 H 0.114 0.886 36 H 0.124 0.876 37 H 0.113 0.887 38 H 0.094 0.906 39 H 0.258 0.742 40 H 0.150 0.850 41 H 0.144 0.856 42 H 0.091 0.909 43 H 0.090 0.910 44 H 0.150 0.850 45 H 0.186 0.814 46 H 0.118 0.882 47 H 0.260 0.740 48 H -0.194 1.194 49 H -0.203 1.203 50 H 0.207 0.793 51 H 0.073 0.927 52 H 0.066 0.934 53 H 0.112 0.888 54 H 0.128 0.872 55 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges 3.007 -5.350 -1.380 6.291 hybrid contribution -1.218 0.846 0.350 1.524 sum 1.789 -4.505 -1.030 4.955 Atomic orbital electron populations 1.23537 0.74975 1.05656 1.02472 1.86513 1.24793 1.33046 1.83478 1.23910 0.92436 0.81062 0.71097 1.90686 1.67856 1.37439 1.46533 1.22457 0.86288 1.01381 1.02366 0.82843 1.23057 0.95769 0.94921 1.00013 1.22956 0.92109 0.91226 0.89427 1.21645 0.93574 0.90500 0.95021 1.45537 1.21406 1.18655 1.50343 1.20155 0.81181 0.88150 0.79870 1.90787 1.62645 1.28036 1.62558 1.22951 0.85193 0.97175 1.00064 1.86293 1.34024 1.37816 1.61936 1.17856 0.91352 0.88967 0.96143 1.18646 0.90752 0.85972 0.93069 1.86309 1.39097 1.26622 1.69506 1.23678 0.81634 1.04763 0.98907 1.21047 1.02752 0.93135 1.03662 1.19326 0.91821 0.94741 0.94726 1.25243 1.04394 0.94796 0.96485 1.86385 1.70591 1.42950 1.36455 0.93512 0.78825 0.80545 0.79162 1.20538 0.98675 0.84144 1.09375 1.43459 0.99953 1.02743 0.98626 1.94530 1.10463 1.82120 1.52959 1.94475 1.59001 1.48140 1.34340 1.20972 1.02595 0.90602 0.98510 1.87987 1.77464 1.35603 1.28693 1.22917 0.95967 1.00312 0.88331 1.23483 0.97408 1.01077 0.94983 0.85304 0.92065 0.91991 0.88609 0.87635 0.88741 0.90596 0.74233 0.85047 0.85572 0.90888 0.90952 0.85003 0.81366 0.88170 0.73960 1.19433 1.20266 0.79307 0.92732 0.93396 0.88812 0.87239 0.88590 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.03 -0.05 10.56 113.37 1.20 1.15 16 2 O -0.36 -0.64 10.57 -51.45 -0.54 -1.18 16 3 C 0.47 1.25 7.48 71.24 0.53 1.79 16 4 O -0.54 -4.96 15.65 21.97 0.34 -4.62 16 5 C -0.11 0.45 3.91 -11.02 -0.04 0.40 16 6 H 0.15 -1.33 7.65 -2.39 -0.02 -1.35 16 7 C -0.10 0.41 6.53 31.12 0.20 0.61 16 8 C 0.08 -0.39 0.89 -10.28 -0.01 -0.39 16 9 C 0.12 -0.49 5.01 86.38 0.43 -0.06 16 10 N -0.70 3.27 5.25 -463.08 -2.43 0.84 16 11 C 0.52 0.69 7.91 87.66 0.69 1.39 16 12 O -0.56 -6.59 16.50 16.04 0.26 -6.33 16 13 C 0.02 -0.07 5.22 71.24 0.37 0.30 16 14 O -0.29 -1.50 9.45 -67.10 -0.63 -2.14 16 15 C 0.10 0.42 6.70 22.57 0.15 0.57 16 16 C 0.16 0.75 6.70 22.57 0.15 0.90 16 17 O -0.30 -1.49 10.28 -79.62 -0.82 -2.31 16 18 C 0.00 -0.01 9.81 113.37 1.11 1.10 16 19 C -0.19 -0.48 7.65 22.35 0.17 -0.31 16 20 C 0.00 -0.02 5.29 -19.86 -0.11 -0.12 16 21 C -0.10 -0.01 1.73 71.24 0.12 0.12 16 22 O -0.55 -0.38 11.77 -129.63 -1.53 -1.90 16 23 Si 0.78 -4.05 30.19 68.60 2.07 -1.98 16 24 C -0.04 -0.26 6.85 36.38 0.25 -0.01 16 25 N 0.04 0.35 4.45 -46.46 -0.21 0.14 16 26 O -0.19 -2.07 18.44 18.88 0.35 -1.72 16 27 O -0.14 -1.36 14.62 25.10 0.37 -0.99 16 28 C -0.11 -0.22 8.54 22.35 0.19 -0.03 16 29 O -0.38 0.35 10.64 -148.98 -1.58 -1.23 16 30 C 0.02 -0.08 10.63 113.37 1.21 1.13 16 31 C -0.13 0.71 6.21 31.11 0.19 0.90 16 32 H 0.13 -0.93 8.14 -2.39 -0.02 -0.94 16 33 H 0.06 -0.06 8.13 -2.38 -0.02 -0.08 16 34 H 0.06 -0.06 8.13 -2.39 -0.02 -0.08 16 35 H 0.10 0.06 7.44 -2.39 -0.02 0.04 16 36 H 0.11 -0.82 7.38 -2.38 -0.02 -0.83 16 37 H 0.09 -0.51 7.34 -2.39 -0.02 -0.53 16 38 H 0.08 -0.14 6.50 -2.39 -0.02 -0.16 16 39 H 0.42 -3.93 7.78 -92.71 -0.72 -4.65 16 40 H 0.13 -1.25 7.66 -2.39 -0.02 -1.27 16 41 H 0.13 -1.05 7.66 -2.39 -0.02 -1.07 16 42 H 0.07 -0.43 7.65 -2.38 -0.02 -0.45 16 43 H 0.07 -0.37 7.68 -2.39 -0.02 -0.39 16 44 H 0.13 -0.91 8.14 -2.39 -0.02 -0.93 16 45 H 0.17 -0.15 3.13 -2.92 -0.01 -0.16 16 46 H 0.10 -0.03 6.07 -2.38 -0.01 -0.04 16 47 H 0.41 -3.84 8.74 -74.05 -0.65 -4.48 16 48 H -0.27 0.51 6.74 99.48 0.67 1.18 16 49 H -0.28 0.23 7.11 99.48 0.71 0.94 16 50 H 0.19 -0.65 5.85 -2.91 -0.02 -0.67 16 51 H 0.05 -0.29 7.67 -2.39 -0.02 -0.31 16 52 H 0.05 -0.19 6.49 -2.39 -0.02 -0.21 16 53 H 0.09 -0.42 8.14 -2.39 -0.02 -0.44 16 54 H 0.11 -0.95 8.10 -2.39 -0.02 -0.96 16 55 H 0.10 -0.31 8.09 -2.39 -0.02 -0.33 16 Total: 0.00 -34.29 458.85 2.11 -32.18 By element: Atomic # 1 Polarization: -17.83 SS G_CDS: -0.36 Total: -18.19 kcal Atomic # 6 Polarization: 2.61 SS G_CDS: 6.82 Total: 9.43 kcal Atomic # 7 Polarization: 3.62 SS G_CDS: -2.64 Total: 0.98 kcal Atomic # 8 Polarization: -18.64 SS G_CDS: -3.78 Total: -22.42 kcal Atomic # 14 Polarization: -4.05 SS G_CDS: 2.07 Total: -1.98 kcal Total: -34.29 2.11 -32.18 kcal The number of atoms in the molecule is 55 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_15102698_4549636.mol2 55 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 -153.486 kcal (2) G-P(sol) polarization free energy of solvation -34.288 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -187.774 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.111 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -32.178 kcal (6) G-S(sol) free energy of system = (1) + (5) -185.663 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.68 seconds