Wall clock time and date at job start Sat Apr 11 2020 06:10:29 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 O 1.42899 * 1 3 3 C 1.42907 * 113.99635 * 2 1 4 4 C 1.52996 * 109.46904 * 179.97438 * 3 2 1 5 5 C 1.52998 * 109.46472 * 299.97343 * 4 3 2 6 6 N 1.46500 * 109.47245 * 60.02565 * 5 4 3 7 7 C 1.34778 * 120.00205 * 180.02562 * 6 5 4 8 8 O 1.21280 * 119.99826 * 359.97438 * 7 6 5 9 9 C 1.50697 * 119.99790 * 180.02562 * 7 6 5 10 10 C 1.52998 * 109.46830 * 179.97438 * 9 7 6 11 11 C 1.53001 * 109.47239 * 179.97438 * 10 9 7 12 12 C 1.50700 * 109.47172 * 180.02562 * 11 10 9 13 13 C 1.50706 * 119.99982 * 180.02562 * 12 11 10 14 14 O 1.20762 * 120.00116 * 359.97438 * 12 11 10 15 15 C 1.53042 * 109.45834 * 179.97438 * 4 3 2 16 16 C 1.53192 * 109.31216 * 178.63240 * 15 4 3 17 17 N 1.46930 * 108.77834 * 54.63480 * 16 15 4 18 18 C 1.36932 * 120.62872 * 126.36699 * 17 16 15 19 19 H 1.08002 * 120.00663 * 332.45264 * 18 17 16 20 20 C 1.38819 * 119.99763 * 152.17982 * 18 17 16 21 21 N 1.31619 * 119.99653 * 343.16079 * 20 18 17 22 22 Si 1.86799 * 120.00056 * 163.16209 * 20 18 17 23 23 H 1.48498 * 109.47033 * 89.99898 * 22 20 18 24 24 H 1.48497 * 109.46906 * 209.99748 * 22 20 18 25 25 H 1.48496 * 109.47329 * 330.00182 * 22 20 18 26 26 C 1.46922 * 118.73694 * 306.64373 * 17 16 15 27 27 C 1.52760 * 109.00877 * 53.30539 * 26 17 16 28 28 H 1.09006 * 109.46724 * 179.97438 * 1 2 3 29 29 H 1.08996 * 109.47883 * 299.99890 * 1 2 3 30 30 H 1.09002 * 109.47085 * 60.00353 * 1 2 3 31 31 H 1.09001 * 109.47185 * 59.99551 * 3 2 1 32 32 H 1.08991 * 109.47212 * 299.99475 * 3 2 1 33 33 H 1.09005 * 109.47339 * 180.02562 * 5 4 3 34 34 H 1.08995 * 109.47024 * 300.02839 * 5 4 3 35 35 H 0.97003 * 119.99558 * 0.02562 * 6 5 4 36 36 H 1.08996 * 109.47372 * 299.99858 * 9 7 6 37 37 H 1.08995 * 109.47210 * 60.00188 * 9 7 6 38 38 H 1.09005 * 109.47339 * 300.00102 * 10 9 7 39 39 H 1.09004 * 109.47146 * 60.00279 * 10 9 7 40 40 H 1.08996 * 109.47233 * 300.00080 * 11 10 9 41 41 H 1.08995 * 109.46940 * 60.00159 * 11 10 9 42 42 H 1.08996 * 109.47220 * 59.99052 * 13 12 11 43 43 H 1.08999 * 109.47258 * 180.02562 * 13 12 11 44 44 H 1.09002 * 109.46775 * 299.99759 * 13 12 11 45 45 H 1.09002 * 109.49976 * 58.68163 * 15 4 3 46 46 H 1.09004 * 109.52502 * 298.59738 * 15 4 3 47 47 H 1.08997 * 109.58711 * 294.84701 * 16 15 4 48 48 H 1.09004 * 109.70548 * 174.49237 * 16 15 4 49 49 H 0.97007 * 119.99830 * 179.97438 * 21 20 18 50 50 H 1.08996 * 109.58958 * 173.14351 * 26 17 16 51 51 H 1.09005 * 109.58698 * 293.56931 * 26 17 16 52 52 H 1.08996 * 109.56719 * 185.54717 * 27 26 17 53 53 H 1.09007 * 109.38352 * 65.51663 * 27 26 17 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3056 0.0000 4 6 3.5353 1.1848 0.0006 5 6 3.9862 0.4263 1.2506 6 7 3.3908 -0.9122 1.2509 7 6 3.6490 -1.7644 2.2626 8 8 4.3747 -1.4233 3.1725 9 6 3.0369 -3.1415 2.2625 10 6 3.4877 -3.8999 3.5125 11 6 2.8658 -5.2979 3.5129 12 6 3.3093 -6.0446 4.7444 13 6 2.8330 -7.4544 4.9831 14 8 4.0470 -5.5138 5.5396 15 6 4.1575 2.5831 0.0000 16 6 5.6839 2.4584 0.0352 17 7 6.1147 1.6058 -1.0812 18 6 7.0602 2.0442 -1.9694 19 1 7.1781 3.1017 -2.1546 20 6 7.8710 1.1297 -2.6276 21 7 7.9743 -0.1024 -2.1764 22 14 8.8156 1.6479 -4.1537 23 1 10.1485 2.1690 -3.7575 24 1 8.9884 0.4767 -5.0502 25 1 8.0609 2.7098 -4.8663 26 6 5.5072 0.2763 -1.2300 27 6 3.9868 0.4232 -1.2477 28 1 -0.3633 -1.0277 -0.0005 29 1 -0.3635 0.5138 0.8899 30 1 -0.3633 0.5138 -0.8900 31 1 1.6884 1.8465 0.8899 32 1 1.6886 1.8464 -0.8900 33 1 5.0729 0.3406 1.2514 34 1 3.6637 0.9676 2.1400 35 1 2.8107 -1.1851 0.5229 36 1 1.9503 -3.0562 2.2610 37 1 3.3602 -3.6827 1.3734 38 1 4.5744 -3.9853 3.5137 39 1 3.1648 -3.3589 4.4020 40 1 1.7792 -5.2122 3.5120 41 1 3.1883 -5.8392 2.6235 42 1 3.1547 -8.0910 4.1589 43 1 3.2545 -7.8272 5.9166 44 1 1.7449 -7.4644 5.0467 45 1 3.8171 3.1331 0.8773 46 1 3.8566 3.1152 -0.9025 47 1 5.9921 2.0083 0.9788 48 1 6.1356 3.4455 -0.0635 49 1 8.5406 -0.7415 -2.6366 50 1 5.8402 -0.1751 -2.1644 51 1 5.8007 -0.3554 -0.3915 52 1 3.5248 -0.5639 -1.2585 53 1 3.6870 0.9749 -2.1387 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 ZINC001162100626.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:10:29 Heat of formation + Delta-G solvation = -111.924719 kcal Electronic energy + Delta-G solvation = -31267.860524 eV Core-core repulsion = 27140.044845 eV Total energy + Delta-G solvation = -4127.815679 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.28 seconds Orbital eigenvalues (eV) -40.02429 -39.61507 -38.54520 -37.10747 -34.58041 -34.17624 -32.95124 -31.04717 -30.81048 -29.95467 -28.35003 -27.67034 -26.11891 -25.41472 -23.83970 -22.47320 -22.12206 -20.86517 -19.91345 -19.68700 -18.33722 -17.09302 -16.40210 -16.25077 -16.11679 -15.91742 -15.76481 -15.49344 -15.14787 -14.97084 -14.93202 -14.61391 -14.01541 -13.75628 -13.52408 -13.41940 -13.23602 -12.83743 -12.81751 -12.71689 -12.47674 -12.31804 -12.03413 -11.90633 -11.85517 -11.56240 -11.49378 -11.39159 -11.24006 -10.90143 -10.80917 -10.69311 -10.52446 -10.24103 -10.16092 -9.90191 -9.85252 -9.73568 -9.51265 -9.37735 -9.36515 -8.50264 -8.38763 -6.62214 -5.75293 -3.17436 1.78203 3.06359 3.38863 3.42681 3.45898 3.47782 3.76016 3.99478 4.51909 4.67337 4.81789 4.84589 4.97795 5.01486 5.03878 5.07195 5.13886 5.23425 5.29824 5.32061 5.33756 5.42893 5.44001 5.47363 5.52945 5.53212 5.58520 5.64056 5.69894 5.73754 5.81758 6.04854 6.08010 6.09967 6.26584 6.33591 6.41261 6.42426 6.62658 6.65691 6.73874 6.84837 6.94134 7.03651 7.11237 7.33569 7.41046 7.71672 7.82441 8.07250 8.48085 8.72085 9.24670 9.88192 10.44938 11.32999 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010684 B = 0.002847 C = 0.002444 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2619.995770 B = 9832.381740 C =11454.795150 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.390 6.390 3 C 0.073 3.927 4 C -0.059 4.059 5 C 0.132 3.868 6 N -0.710 5.710 7 C 0.504 3.496 8 O -0.551 6.551 9 C -0.138 4.138 10 C -0.097 4.097 11 C -0.173 4.173 12 C 0.349 3.651 13 C -0.206 4.206 14 O -0.452 6.452 15 C -0.119 4.119 16 C 0.143 3.857 17 N -0.591 5.591 18 C -0.252 4.252 19 H 0.065 0.935 20 C 0.002 3.998 21 N -0.900 5.900 22 Si 0.901 3.099 23 H -0.287 1.287 24 H -0.290 1.290 25 H -0.280 1.280 26 C 0.170 3.830 27 C -0.125 4.125 28 H 0.082 0.918 29 H 0.037 0.963 30 H 0.039 0.961 31 H 0.045 0.955 32 H 0.050 0.950 33 H 0.083 0.917 34 H 0.053 0.947 35 H 0.408 0.592 36 H 0.088 0.912 37 H 0.092 0.908 38 H 0.076 0.924 39 H 0.073 0.927 40 H 0.097 0.903 41 H 0.099 0.901 42 H 0.091 0.909 43 H 0.079 0.921 44 H 0.090 0.910 45 H 0.054 0.946 46 H 0.065 0.935 47 H 0.022 0.978 48 H 0.056 0.944 49 H 0.253 0.747 50 H 0.086 0.914 51 H 0.021 0.979 52 H 0.054 0.946 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.447 -8.729 6.610 22.318 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 -0.063 4.063 2 O -0.309 6.309 3 C -0.004 4.004 4 C -0.059 4.059 5 C 0.008 3.992 6 N -0.366 5.366 7 C 0.290 3.710 8 O -0.429 6.429 9 C -0.178 4.178 10 C -0.135 4.135 11 C -0.210 4.210 12 C 0.224 3.776 13 C -0.263 4.263 14 O -0.325 6.325 15 C -0.159 4.159 16 C 0.016 3.984 17 N -0.314 5.314 18 C -0.382 4.382 19 H 0.082 0.918 20 C -0.197 4.197 21 N -0.545 5.545 22 Si 0.731 3.269 23 H -0.214 1.214 24 H -0.216 1.216 25 H -0.206 1.206 26 C 0.045 3.955 27 C -0.164 4.164 28 H 0.101 0.899 29 H 0.056 0.944 30 H 0.058 0.942 31 H 0.064 0.936 32 H 0.068 0.932 33 H 0.101 0.899 34 H 0.071 0.929 35 H 0.249 0.751 36 H 0.107 0.893 37 H 0.110 0.890 38 H 0.095 0.905 39 H 0.092 0.908 40 H 0.115 0.885 41 H 0.117 0.883 42 H 0.110 0.890 43 H 0.098 0.902 44 H 0.109 0.891 45 H 0.073 0.927 46 H 0.084 0.916 47 H 0.040 0.960 48 H 0.074 0.926 49 H 0.063 0.937 50 H 0.104 0.896 51 H 0.039 0.961 52 H 0.073 0.927 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -18.311 -8.487 7.587 21.561 hybrid contribution -0.181 0.264 -1.315 1.353 sum -18.493 -8.222 6.273 21.188 Atomic orbital electron populations 1.22693 0.81495 1.02364 0.99766 1.87569 1.19200 1.28835 1.95318 1.22764 0.93990 0.83879 0.99760 1.20799 0.91339 0.97256 0.96545 1.21411 0.99466 0.82143 0.96135 1.46255 1.50306 1.14754 1.25278 1.20565 0.81419 0.86841 0.82195 1.90700 1.37840 1.77966 1.36409 1.21629 1.01698 0.94007 1.00513 1.21141 1.02060 0.92798 0.97465 1.22169 1.02826 0.97684 0.98368 1.24660 0.77737 0.89286 0.85938 1.22336 1.03572 0.95932 1.04431 1.90459 1.28181 1.69283 1.44605 1.21985 0.99338 0.93603 1.00976 1.20932 0.90581 0.95432 0.91430 1.44027 1.44612 1.14898 1.27829 1.19155 1.10329 0.92233 1.16459 0.91760 1.25042 0.97573 0.96645 1.00408 1.70046 1.40730 1.04428 1.39262 0.86328 0.79906 0.77447 0.83268 1.21446 1.21628 1.20579 1.20711 0.86379 0.86770 1.01655 1.22103 1.00884 0.98389 0.95035 0.89931 0.94415 0.94211 0.93648 0.93161 0.89924 0.92865 0.75122 0.89328 0.89001 0.90514 0.90821 0.88479 0.88259 0.89023 0.90213 0.89137 0.92749 0.91611 0.95987 0.92589 0.93696 0.89626 0.96071 0.92710 0.92636 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 0.03 0.29 11.01 101.05 1.11 1.40 16 2 O -0.39 -4.63 6.73 -35.23 -0.24 -4.87 16 3 C 0.07 0.92 4.80 37.16 0.18 1.10 16 4 C -0.06 -0.93 0.51 -154.47 -0.08 -1.01 16 5 C 0.13 2.27 3.80 -4.04 -0.02 2.25 16 6 N -0.71 -10.97 4.62 -60.30 -0.28 -11.25 16 7 C 0.50 8.13 7.83 -10.99 -0.09 8.05 16 8 O -0.55 -11.34 15.98 5.56 0.09 -11.25 16 9 C -0.14 -1.54 5.70 -27.89 -0.16 -1.69 16 10 C -0.10 -1.14 3.79 -26.73 -0.10 -1.24 16 11 C -0.17 -1.31 5.64 -27.88 -0.16 -1.47 16 12 C 0.35 3.22 7.27 -29.03 -0.21 3.01 16 13 C -0.21 -1.12 10.26 36.01 0.37 -0.75 16 14 O -0.45 -6.41 16.71 6.00 0.10 -6.31 16 15 C -0.12 -1.95 4.91 -26.61 -0.13 -2.08 16 16 C 0.14 2.94 6.05 -3.71 -0.02 2.92 16 17 N -0.59 -14.57 3.00 -172.58 -0.52 -15.09 16 18 C -0.25 -6.88 9.58 -15.06 -0.14 -7.02 16 19 H 0.06 1.72 7.88 -52.49 -0.41 1.31 16 20 C 0.00 0.05 4.92 -17.43 -0.09 -0.03 16 21 N -0.90 -26.28 11.18 55.49 0.62 -25.66 16 22 Si 0.90 21.72 29.59 -169.99 -5.03 16.69 16 23 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 24 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 25 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 26 C 0.17 3.99 4.81 -3.93 -0.02 3.97 16 27 C -0.12 -2.28 4.57 -26.83 -0.12 -2.40 16 28 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 29 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 30 H 0.04 0.31 8.14 -51.93 -0.42 -0.11 16 31 H 0.05 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 33 H 0.08 1.74 4.99 -51.93 -0.26 1.48 16 34 H 0.05 0.91 8.14 -51.93 -0.42 0.48 16 35 H 0.41 5.66 4.70 -40.82 -0.19 5.46 16 36 H 0.09 0.75 8.14 -51.93 -0.42 0.32 16 37 H 0.09 0.88 8.14 -51.93 -0.42 0.46 16 38 H 0.08 1.12 8.06 -51.93 -0.42 0.70 16 39 H 0.07 1.00 8.06 -51.93 -0.42 0.58 16 40 H 0.10 0.50 8.14 -51.93 -0.42 0.07 16 41 H 0.10 0.57 8.14 -51.93 -0.42 0.15 16 42 H 0.09 0.35 8.14 -51.93 -0.42 -0.08 16 43 H 0.08 0.49 8.12 -51.93 -0.42 0.07 16 44 H 0.09 0.31 8.14 -51.93 -0.42 -0.11 16 45 H 0.05 0.76 8.14 -51.93 -0.42 0.34 16 46 H 0.07 1.08 8.14 -51.93 -0.42 0.66 16 47 H 0.02 0.48 6.69 -51.93 -0.35 0.13 16 48 H 0.06 1.13 7.93 -51.93 -0.41 0.72 16 49 H 0.25 7.16 8.31 -40.82 -0.34 6.82 16 50 H 0.09 2.28 6.05 -51.93 -0.31 1.96 16 51 H 0.02 0.54 6.70 -51.93 -0.35 0.19 16 52 H 0.05 0.93 6.49 -51.93 -0.34 0.59 16 53 H 0.05 1.04 8.14 -51.93 -0.42 0.62 16 LS Contribution 410.71 15.07 6.19 6.19 Total: -1.00 -34.71 410.71 -8.10 -42.81 By element: Atomic # 1 Polarization: 13.09 SS G_CDS: -9.36 Total: 3.73 kcal Atomic # 6 Polarization: 4.68 SS G_CDS: 0.33 Total: 5.01 kcal Atomic # 7 Polarization: -51.82 SS G_CDS: -0.18 Total: -52.00 kcal Atomic # 8 Polarization: -22.38 SS G_CDS: -0.05 Total: -22.43 kcal Atomic # 14 Polarization: 21.72 SS G_CDS: -5.03 Total: 16.69 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -34.71 -8.10 -42.81 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. ZINC001162100626.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 -69.117 kcal (2) G-P(sol) polarization free energy of solvation -34.712 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.829 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.096 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.808 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.925 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.28 seconds