Wall clock time and date at job start Tue Mar 9 2021 12:52:19 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 C 1.50699 * 1 3 3 C 1.34855 * 125.89991 * 2 1 4 4 C 1.40939 * 107.46893 * 179.97438 * 3 2 1 5 5 C 1.50700 * 126.26507 * 179.97438 * 4 3 2 6 6 O 1.42892 * 109.46955 * 255.02233 * 5 4 3 7 7 Si 1.86299 * 109.47229 * 15.02551 * 5 4 3 8 8 C 1.34860 * 107.46763 * 359.76703 * 4 3 2 9 9 C 1.50690 * 125.90057 * 180.23857 * 8 4 3 10 10 N 1.36565 * 108.19656 * 0.37076 * 8 4 3 11 11 C 1.40227 * 125.66777 * 179.88761 * 10 8 4 12 12 C 1.38555 * 119.99493 * 244.72159 * 11 10 8 13 13 C 1.39501 * 119.78309 * 179.97438 * 12 11 10 14 14 C 1.47857 * 120.10994 * 179.97438 * 13 12 11 15 15 O 1.21543 * 120.00279 * 359.97438 * 14 13 12 16 16 N 1.34784 * 119.99740 * 179.97438 * 14 13 12 17 17 C 1.46494 * 119.99635 * 179.97438 * 16 14 13 18 18 H 1.09000 * 112.85565 * 334.66170 * 17 16 14 19 19 C 1.53785 * 113.61451 * 105.86837 * 17 16 14 20 20 C 1.54048 * 86.98663 * 89.15971 * 19 17 16 21 21 H 1.08999 * 113.68423 * 270.87147 * 20 19 17 22 22 C 1.52999 * 113.61740 * 139.98080 * 20 19 17 23 23 N 1.46500 * 109.47058 * 87.50579 * 22 20 19 24 24 C 1.34428 * 126.82533 * 124.70718 * 23 22 20 25 25 N 1.30837 * 108.07638 * 179.88734 * 24 23 22 26 26 C 1.33234 * 109.82809 * 0.38620 * 25 24 23 27 27 N 1.30717 * 108.94867 * 359.75716 * 26 25 24 28 28 C 1.53777 * 87.08039 * 25.43225 * 20 19 17 29 29 C 1.39572 * 119.77549 * 0.24531 * 13 12 11 30 30 C 1.38026 * 119.98498 * 359.47437 * 29 13 12 31 31 C 1.38222 * 120.21470 * 0.52962 * 30 29 13 32 32 H 1.08997 * 109.47199 * 270.02001 * 1 2 3 33 33 H 1.08990 * 109.47283 * 30.02598 * 1 2 3 34 34 H 1.09004 * 109.46873 * 150.02867 * 1 2 3 35 35 H 1.08005 * 126.26122 * 0.02562 * 3 2 1 36 36 H 1.09007 * 109.46741 * 135.02490 * 5 4 3 37 37 H 0.96705 * 114.00107 * 60.00023 * 6 5 4 38 38 H 1.48503 * 110.00204 * 58.67895 * 7 5 4 39 39 H 1.48503 * 109.99837 * 180.02562 * 7 5 4 40 40 H 1.09003 * 109.47566 * 270.15465 * 9 8 4 41 41 H 1.09001 * 109.46903 * 30.15295 * 9 8 4 42 42 H 1.09000 * 109.47116 * 150.15447 * 9 8 4 43 43 H 1.07997 * 120.10324 * 359.96803 * 12 11 10 44 44 H 0.96995 * 120.00015 * 359.72452 * 16 14 13 45 45 H 1.09000 * 113.61017 * 203.66593 * 19 17 16 46 46 H 1.08996 * 113.61117 * 334.56058 * 19 17 16 47 47 H 1.09001 * 109.46696 * 207.49838 * 22 20 19 48 48 H 1.08998 * 109.47333 * 327.49843 * 22 20 19 49 49 H 1.07997 * 125.96024 * 0.03986 * 24 23 22 50 50 H 1.08006 * 125.52774 * 179.79197 * 26 25 24 51 51 H 1.09000 * 113.61770 * 220.02836 * 28 20 19 52 52 H 1.09000 * 113.61327 * 89.11909 * 28 20 19 53 53 H 1.07998 * 120.00963 * 179.75025 * 29 13 12 54 54 H 1.08003 * 119.89311 * 180.25332 * 30 29 13 55 55 H 1.08000 * 119.88667 * 179.72259 * 31 30 29 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 2.2977 1.0924 0.0000 4 6 3.6348 0.6468 0.0006 5 6 4.8647 1.5177 0.0003 6 8 5.4549 1.5079 -1.3010 7 14 4.3911 3.2613 0.4543 8 6 3.6122 -0.7016 0.0062 9 6 4.8178 -1.6056 0.0139 10 7 2.3078 -1.1062 0.0007 11 6 1.8644 -2.4365 0.0016 12 6 1.1647 -2.9342 -1.0858 13 6 0.7261 -4.2585 -1.0804 14 6 -0.0217 -4.7969 -2.2367 15 8 -0.2557 -4.0852 -3.1939 16 7 -0.4440 -6.0768 -2.2294 17 6 -1.1854 -6.6101 -3.3748 18 1 -1.7060 -5.8366 -3.9393 19 6 -0.3588 -7.5635 -4.2539 20 6 -0.8490 -8.7016 -3.3388 21 1 -0.2061 -8.8778 -2.4764 22 6 -1.1979 -9.9867 -4.0922 23 7 0.0050 -10.8105 -4.2357 24 6 0.1580 -12.0880 -3.8460 25 7 1.3732 -12.4632 -4.1527 26 6 2.0257 -11.4547 -4.7292 27 7 1.2295 -10.4206 -4.8023 28 6 -2.0695 -7.8195 -3.0273 29 6 0.9907 -5.0718 0.0225 30 6 1.6936 -4.5680 1.0983 31 6 2.1279 -3.2558 1.0925 32 1 -0.3633 0.0004 1.0276 33 1 -0.3633 0.8897 -0.5142 34 1 -0.3633 -0.8903 -0.5134 35 1 1.9669 2.1205 0.0004 36 1 5.5812 1.1348 0.7271 37 1 4.8724 1.8364 -1.9996 38 1 3.7471 3.2807 1.7924 39 1 5.5952 4.1304 0.4569 40 1 5.1135 -1.8257 -1.0119 41 1 5.6399 -1.1104 0.5307 42 1 4.5721 -2.5346 0.5284 43 1 0.9594 -2.2989 -1.9347 44 1 -0.2538 -6.6459 -1.4673 45 1 -0.7233 -7.6391 -5.2783 46 1 0.7155 -7.3881 -4.1977 47 1 -1.9533 -10.5408 -3.5349 48 1 -1.5861 -9.7353 -5.0792 49 1 -0.5923 -12.6987 -3.3660 50 1 3.0468 -11.4865 -5.0798 51 1 -2.3753 -7.8506 -1.9816 52 1 -2.9009 -7.9651 -3.7171 53 1 0.6494 -6.0964 0.0324 54 1 1.9011 -5.1998 1.9493 55 1 2.6736 -2.8658 1.9390 There are 75 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 75 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_14688106_12335854.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 12:52:19 Heat of formation + Delta-G solvation = 139.111448 kcal Electronic energy + Delta-G solvation = -37718.510457 eV Core-core repulsion = 32919.139389 eV Total energy + Delta-G solvation = -4799.371068 eV No. of doubly occupied orbitals = 75 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 408.195 amu Computer time = 1.60 seconds Orbital eigenvalues (eV) -42.96925 -42.93208 -41.63311 -40.21570 -39.10432 -37.69550 -35.55578 -34.59957 -33.81003 -33.70153 -32.33332 -32.14009 -30.51605 -30.19478 -29.03885 -27.24545 -26.73951 -25.72266 -24.81068 -24.20914 -23.70939 -22.84365 -22.40234 -22.15842 -21.07646 -20.45448 -20.37864 -18.80662 -18.22292 -17.68014 -17.51366 -17.42860 -17.15953 -16.80687 -16.74312 -16.30290 -16.16379 -15.95203 -15.68683 -15.34393 -15.26545 -15.19544 -15.07431 -14.96628 -14.72392 -14.59660 -14.40526 -14.20579 -14.05759 -13.98870 -13.74470 -13.53394 -13.48480 -13.27815 -13.24652 -13.12734 -12.98149 -12.82232 -12.73143 -12.48700 -12.21314 -12.15880 -11.81983 -11.76267 -11.29478 -11.26608 -10.95607 -10.77758 -10.55597 -10.50467 -10.37982 -10.30120 -10.11787 -9.55351 -8.87256 -4.93828 -0.50289 -0.10328 0.72659 1.04423 1.42332 1.47765 1.56821 1.61722 1.72895 1.80809 1.94344 2.01952 2.02701 2.51863 3.29681 3.39845 3.43368 3.55318 3.61935 3.62595 3.64605 3.67232 3.76236 3.82901 3.86658 3.94820 3.96914 4.08123 4.13099 4.13598 4.22984 4.28588 4.36151 4.38669 4.45371 4.50615 4.59054 4.59950 4.64539 4.65661 4.67293 4.70350 4.75554 4.80902 4.92207 4.94166 4.97172 5.00388 5.02208 5.02460 5.07374 5.10927 5.13068 5.33276 5.33614 5.45832 5.47047 5.52373 5.95819 5.97620 6.11681 6.31376 6.42477 6.83127 6.99447 7.15712 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.085 4.085 2 C 0.013 3.987 3 C -0.193 4.193 4 C -0.205 4.205 5 C -0.038 4.038 6 O -0.561 6.561 7 Si 0.785 3.215 8 C 0.033 3.967 9 C -0.081 4.081 10 N -0.407 5.407 11 C 0.099 3.901 12 C -0.065 4.065 13 C -0.133 4.133 14 C 0.560 3.440 15 O -0.577 6.577 16 N -0.691 5.691 17 C 0.107 3.893 18 H 0.086 0.914 19 C -0.139 4.139 20 C -0.110 4.110 21 H 0.093 0.907 22 C 0.130 3.870 23 N -0.377 5.377 24 C 0.256 3.744 25 N -0.586 5.586 26 C 0.182 3.818 27 N -0.344 5.344 28 C -0.112 4.112 29 C -0.066 4.066 30 C -0.100 4.100 31 C -0.087 4.087 32 H 0.078 0.922 33 H 0.098 0.902 34 H 0.055 0.945 35 H 0.165 0.835 36 H 0.098 0.902 37 H 0.391 0.609 38 H -0.292 1.292 39 H -0.300 1.300 40 H 0.067 0.933 41 H 0.084 0.916 42 H 0.071 0.929 43 H 0.118 0.882 44 H 0.415 0.585 45 H 0.091 0.909 46 H 0.046 0.954 47 H 0.145 0.855 48 H 0.095 0.905 49 H 0.260 0.740 50 H 0.227 0.773 51 H 0.099 0.901 52 H 0.120 0.880 53 H 0.167 0.833 54 H 0.175 0.825 55 H 0.142 0.858 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.011 -5.714 4.760 10.931 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 -0.142 4.142 2 C -0.096 4.096 3 C -0.216 4.216 4 C -0.212 4.212 5 C -0.149 4.149 6 O -0.368 6.368 7 Si 0.691 3.309 8 C -0.077 4.077 9 C -0.139 4.139 10 N -0.082 5.082 11 C 0.010 3.990 12 C -0.085 4.085 13 C -0.136 4.136 14 C 0.348 3.652 15 O -0.457 6.457 16 N -0.343 5.343 17 C 0.001 3.999 18 H 0.104 0.896 19 C -0.178 4.178 20 C -0.129 4.129 21 H 0.111 0.889 22 C 0.009 3.991 23 N -0.168 5.168 24 C -0.040 4.040 25 N -0.314 5.314 26 C -0.120 4.120 27 N -0.173 5.173 28 C -0.150 4.150 29 C -0.085 4.085 30 C -0.118 4.118 31 C -0.106 4.106 32 H 0.097 0.903 33 H 0.117 0.883 34 H 0.074 0.926 35 H 0.183 0.817 36 H 0.115 0.885 37 H 0.240 0.760 38 H -0.219 1.219 39 H -0.228 1.228 40 H 0.086 0.914 41 H 0.102 0.898 42 H 0.090 0.910 43 H 0.136 0.864 44 H 0.253 0.747 45 H 0.109 0.891 46 H 0.065 0.935 47 H 0.163 0.837 48 H 0.113 0.887 49 H 0.275 0.725 50 H 0.243 0.757 51 H 0.117 0.883 52 H 0.139 0.861 53 H 0.184 0.816 54 H 0.192 0.808 55 H 0.160 0.840 Dipole moment (debyes) X Y Z Total from point charges -7.452 -4.704 4.708 9.991 hybrid contribution 0.603 -0.520 0.171 0.814 sum -6.850 -5.224 4.879 9.900 Atomic orbital electron populations 1.20403 0.86706 1.03801 1.03276 1.20829 0.94463 0.85036 1.09222 1.20851 0.91470 0.98506 1.10806 1.19810 0.95423 0.92788 1.13133 1.24479 0.93307 1.08926 0.88190 1.86420 1.44225 1.89007 1.17160 0.93519 0.80617 0.74125 0.82611 1.20557 0.84355 0.94567 1.08197 1.20325 0.93092 0.97683 1.02781 1.41501 1.05620 1.03295 1.57776 1.17668 1.01780 0.83872 0.95687 1.21118 0.95860 0.94993 0.96547 1.19733 1.03302 0.94483 0.96105 1.18420 0.78415 0.82230 0.86142 1.90793 1.58215 1.59609 1.37077 1.45428 1.56242 1.11101 1.21509 1.21982 0.94060 0.96006 0.87815 0.89600 1.23450 0.99604 0.95725 0.99039 1.22835 0.98881 0.92583 0.98583 0.88921 1.22270 0.82166 0.91517 1.03115 1.50773 1.11211 1.11249 1.43554 1.26913 0.95985 0.85145 0.95933 1.70543 1.06489 1.32316 1.22022 1.26404 1.01737 0.86201 0.97686 1.78029 0.92915 1.24552 1.21776 1.23278 0.96154 0.90795 1.04779 1.21755 0.95136 1.00442 0.91125 1.21439 0.96408 0.94319 0.99620 1.21653 0.98207 0.94586 0.96188 0.90288 0.88327 0.92562 0.81741 0.88484 0.75973 1.21881 1.22818 0.91421 0.89774 0.91043 0.86371 0.74665 0.89095 0.93511 0.83676 0.88723 0.72480 0.75687 0.88280 0.86137 0.81608 0.80783 0.84015 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 -0.08 -0.07 10.08 71.24 0.72 0.65 16 2 C 0.01 0.06 6.81 41.04 0.28 0.34 16 3 C -0.19 -0.80 9.27 22.15 0.21 -0.60 16 4 C -0.20 -1.19 5.35 -19.98 -0.11 -1.30 16 5 C -0.04 -0.16 2.61 71.24 0.19 0.02 16 6 O -0.56 -2.83 12.88 -148.98 -1.92 -4.75 16 7 Si 0.78 1.55 30.81 68.60 2.11 3.67 16 8 C 0.03 0.22 6.81 41.04 0.28 0.49 16 9 C -0.08 -0.29 9.87 71.23 0.70 0.42 16 10 N -0.41 -2.40 2.79 -320.36 -0.89 -3.29 16 11 C 0.10 0.34 5.02 38.04 0.19 0.53 16 12 C -0.06 -0.34 8.32 22.65 0.19 -0.15 16 13 C -0.13 -0.17 5.87 -20.10 -0.12 -0.29 16 14 C 0.56 2.54 7.77 86.79 0.67 3.22 16 15 O -0.58 -8.10 15.96 -3.85 -0.06 -8.16 16 16 N -0.69 2.21 5.21 -442.88 -2.31 -0.10 16 17 C 0.11 -0.37 4.30 45.52 0.20 -0.17 16 18 H 0.09 0.13 7.50 -2.39 -0.02 0.11 16 19 C -0.14 0.31 7.45 31.21 0.23 0.55 16 20 C -0.11 0.99 3.74 -10.18 -0.04 0.95 16 21 H 0.09 -0.74 8.14 -2.39 -0.02 -0.76 16 22 C 0.13 -1.33 6.39 86.38 0.55 -0.78 16 23 N -0.38 0.92 3.69 -352.06 -1.30 -0.38 16 24 C 0.26 -0.79 12.63 180.36 2.28 1.49 16 25 N -0.59 -2.67 11.19 -204.00 -2.28 -4.96 16 26 C 0.18 0.82 13.03 180.77 2.36 3.17 16 27 N -0.34 -1.64 12.57 -61.24 -0.77 -2.41 16 28 C -0.11 1.32 7.38 31.12 0.23 1.55 16 29 C -0.07 0.41 9.54 22.54 0.21 0.63 16 30 C -0.10 0.69 10.02 22.22 0.22 0.91 16 31 C -0.09 0.16 8.74 22.44 0.20 0.35 16 32 H 0.08 -0.06 8.14 -2.39 -0.02 -0.08 16 33 H 0.10 -0.22 8.14 -2.39 -0.02 -0.24 16 34 H 0.06 0.14 6.85 -2.38 -0.02 0.13 16 35 H 0.17 -0.15 6.59 -2.91 -0.02 -0.17 16 36 H 0.10 0.49 7.49 -2.38 -0.02 0.48 16 37 H 0.39 -0.77 8.70 -74.05 -0.64 -1.42 16 38 H -0.29 -2.15 7.11 99.48 0.71 -1.44 16 39 H -0.30 -2.57 7.11 99.48 0.71 -1.86 16 40 H 0.07 0.33 8.14 -2.39 -0.02 0.31 16 41 H 0.08 0.22 7.50 -2.39 -0.02 0.20 16 42 H 0.07 0.07 6.83 -2.39 -0.02 0.05 16 43 H 0.12 1.16 7.65 -2.91 -0.02 1.13 16 44 H 0.41 -4.08 6.73 -92.71 -0.62 -4.71 16 45 H 0.09 -0.16 7.90 -2.39 -0.02 -0.18 16 46 H 0.05 0.19 8.14 -2.39 -0.02 0.17 16 47 H 0.15 -2.63 8.09 -2.39 -0.02 -2.65 16 48 H 0.09 -0.94 7.85 -2.39 -0.02 -0.96 16 49 H 0.26 -3.51 8.06 -2.91 -0.02 -3.53 16 50 H 0.23 -0.11 8.06 -2.91 -0.02 -0.13 16 51 H 0.10 -1.44 8.14 -2.39 -0.02 -1.46 16 52 H 0.12 -1.75 8.10 -2.39 -0.02 -1.77 16 53 H 0.17 -2.27 6.40 -2.91 -0.02 -2.28 16 54 H 0.17 -2.31 8.06 -2.91 -0.02 -2.34 16 55 H 0.14 -0.46 8.06 -2.91 -0.02 -0.48 16 Total: 0.00 -34.23 455.57 1.93 -32.30 By element: Atomic # 1 Polarization: -23.61 SS G_CDS: -0.29 Total: -23.90 kcal Atomic # 6 Polarization: 2.35 SS G_CDS: 9.64 Total: 11.99 kcal Atomic # 7 Polarization: -3.59 SS G_CDS: -7.56 Total: -11.14 kcal Atomic # 8 Polarization: -10.93 SS G_CDS: -1.98 Total: -12.91 kcal Atomic # 14 Polarization: 1.55 SS G_CDS: 2.11 Total: 3.67 kcal Total: -34.23 1.93 -32.30 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_14688106_12335854.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 171.414 kcal (2) G-P(sol) polarization free energy of solvation -34.232 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 137.183 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 1.929 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -32.303 kcal (6) G-S(sol) free energy of system = (1) + (5) 139.111 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.60 seconds