Wall clock time and date at job start Sat Apr 11 2020 06:10:06 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 1.45205 * 1 3 3 C 1.34233 * 116.99408 * 2 1 4 4 O 1.20819 * 120.00257 * 359.97438 * 3 2 1 5 5 C 1.50698 * 119.99497 * 179.97438 * 3 2 1 6 6 H 1.09003 * 109.46415 * 300.02540 * 5 3 2 7 7 C 1.53042 * 109.45972 * 60.00244 * 5 3 2 8 8 C 1.53194 * 109.31123 * 181.36897 * 7 5 3 9 9 N 1.46928 * 108.77625 * 305.36626 * 8 7 5 10 10 C 1.34780 * 120.62951 * 233.58291 * 9 8 7 11 11 O 1.21578 * 120.00091 * 185.03120 * 10 9 8 12 12 N 1.34779 * 119.99723 * 5.03858 * 10 9 8 13 13 C 1.46496 * 119.99821 * 174.92517 * 12 10 9 14 14 C 1.52997 * 109.47407 * 180.02562 * 13 12 10 15 15 C 1.53001 * 109.47147 * 59.99408 * 14 13 12 16 16 C 1.53003 * 109.47073 * 300.00023 * 14 13 12 17 17 C 1.53001 * 109.47751 * 180.02562 * 14 13 12 18 18 C 1.50696 * 109.47332 * 180.02562 * 17 14 13 19 19 H 1.07998 * 119.99840 * 359.97438 * 18 17 14 20 20 C 1.37878 * 119.99803 * 180.02562 * 18 17 14 21 21 N 1.31518 * 119.99906 * 359.97438 * 20 18 17 22 22 Si 1.86800 * 120.00072 * 179.97438 * 20 18 17 23 23 H 1.48498 * 109.47132 * 179.97438 * 22 20 18 24 24 H 1.48507 * 109.46741 * 299.99589 * 22 20 18 25 25 H 1.48497 * 109.47302 * 59.99478 * 22 20 18 26 26 C 1.46918 * 118.73722 * 53.86113 * 9 8 7 27 27 C 1.53041 * 109.44665 * 180.02562 * 5 3 2 28 28 H 1.08998 * 109.49853 * 58.67290 * 27 5 3 29 29 C 1.52999 * 109.49827 * 298.57331 * 27 5 3 30 30 H 1.09003 * 109.47101 * 60.00472 * 1 2 3 31 31 H 1.09006 * 109.46720 * 179.97438 * 1 2 3 32 32 H 1.08994 * 109.47607 * 299.99739 * 1 2 3 33 33 H 1.08998 * 109.49701 * 61.41617 * 7 5 3 34 34 H 1.08994 * 109.49554 * 301.31866 * 7 5 3 35 35 H 1.08994 * 109.58604 * 185.57430 * 8 7 5 36 36 H 1.09001 * 109.70466 * 65.22398 * 8 7 5 37 37 H 0.97002 * 120.00338 * 354.92319 * 12 10 9 38 38 H 1.08992 * 109.47341 * 59.99689 * 13 12 10 39 39 H 1.09003 * 109.47341 * 299.99734 * 13 12 10 40 40 H 1.09002 * 109.47153 * 180.02562 * 15 14 13 41 41 H 1.08997 * 109.47752 * 300.00596 * 15 14 13 42 42 H 1.09003 * 109.46791 * 60.00832 * 15 14 13 43 43 H 1.09000 * 109.47006 * 299.99789 * 16 14 13 44 44 H 1.08997 * 109.47300 * 59.99721 * 16 14 13 45 45 H 1.09002 * 109.47191 * 179.97438 * 16 14 13 46 46 H 1.09003 * 109.46799 * 59.99314 * 17 14 13 47 47 H 1.09002 * 109.46449 * 300.00035 * 17 14 13 48 48 H 0.97001 * 120.00106 * 0.02562 * 21 20 18 49 49 H 1.08993 * 109.59315 * 65.93056 * 26 9 8 50 50 H 1.09012 * 109.58508 * 186.35523 * 26 9 8 51 51 H 1.08995 * 109.47111 * 60.00436 * 29 27 5 52 52 H 1.09007 * 109.46910 * 180.02562 * 29 27 5 53 53 H 1.08995 * 109.47201 * 299.99935 * 29 27 5 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 1.4521 0.0000 0.0000 3 6 2.0613 1.1961 0.0000 4 8 1.4032 2.2093 -0.0005 5 6 3.5663 1.2750 0.0006 6 1 3.9555 0.7806 0.8907 7 6 4.1137 0.5810 -1.2488 8 6 5.6446 0.6332 -1.2276 9 7 6.0680 2.0324 -1.0800 10 6 6.9348 2.5832 -1.9529 11 8 7.3483 3.7116 -1.7690 12 7 7.3431 1.8830 -3.0298 13 6 8.1964 2.5190 -4.0364 14 6 8.5125 1.5139 -5.1458 15 6 7.2096 1.0506 -5.8006 16 6 9.2401 0.3076 -4.5489 17 6 9.4043 2.1778 -6.1969 18 6 9.7150 1.1879 -7.2898 19 1 9.3166 0.1854 -7.2396 20 6 10.5087 1.5619 -8.3534 21 7 10.9942 2.7827 -8.4143 22 14 10.8945 0.3347 -9.7079 23 1 11.7599 0.9793 -10.7280 24 1 11.5998 -0.8366 -9.1283 25 1 9.6300 -0.1140 -10.3442 26 6 5.5335 2.8177 0.0406 27 6 3.9995 2.7428 0.0011 28 1 3.5898 3.2427 0.8788 29 6 3.4830 3.4282 -1.2655 30 1 -0.3633 0.5138 -0.8901 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5137 0.8899 33 1 3.7445 1.0902 -2.1390 34 1 3.7853 -0.4582 -1.2610 35 1 6.0369 0.2291 -2.1607 36 1 6.0207 0.0472 -0.3890 37 1 7.0719 0.9580 -3.1383 38 1 9.1244 2.8494 -3.5699 39 1 7.6779 3.3781 -4.4621 40 1 7.4347 0.3342 -6.5907 41 1 6.5746 0.5775 -5.0517 42 1 6.6912 1.9100 -6.2260 43 1 10.1683 0.6375 -4.0824 44 1 8.6052 -0.1657 -3.7999 45 1 9.4649 -0.4088 -5.3392 46 1 10.3324 2.5075 -5.7300 47 1 8.8862 3.0374 -6.6222 48 1 10.7942 3.4198 -7.7107 49 1 5.8986 2.4069 0.9818 50 1 5.8525 3.8557 -0.0556 51 1 2.3949 3.3709 -1.2916 52 1 3.7922 4.4735 -1.2649 53 1 3.8943 2.9285 -2.1425 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 ZINC000358740270.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 06:10:06 Heat of formation + Delta-G solvation = -129.393972 kcal Electronic energy + Delta-G solvation = -31311.237648 eV Core-core repulsion = 27182.664445 eV Total energy + Delta-G solvation = -4128.573202 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.83 seconds Orbital eigenvalues (eV) -41.40784 -40.29774 -38.35576 -37.18155 -36.68383 -34.15276 -33.38446 -32.30014 -31.84673 -28.70889 -27.38965 -26.82464 -26.59480 -26.59128 -25.28696 -23.44883 -22.83511 -21.92881 -20.40255 -19.28616 -18.84708 -18.07215 -17.80911 -17.00330 -16.64126 -16.50455 -16.02689 -15.78435 -15.22992 -14.60940 -14.44563 -14.29925 -14.18539 -14.03799 -13.74385 -13.70912 -13.45985 -13.16661 -13.13621 -12.78224 -12.63890 -12.29395 -12.15808 -12.04254 -11.88880 -11.74167 -11.49874 -11.22076 -11.17776 -11.14939 -11.02640 -10.96312 -10.91332 -10.65675 -10.52724 -10.24074 -10.10673 -10.00178 -9.98686 -9.45812 -8.98342 -8.51545 -8.47326 -8.31212 -6.32405 -4.01577 1.78758 2.27291 2.64082 3.30568 3.43473 3.44986 3.63703 3.90568 4.05300 4.20870 4.33335 4.55381 4.59725 4.67068 4.70938 4.76059 4.83245 4.91452 5.07825 5.11129 5.23661 5.27022 5.38001 5.41189 5.41440 5.48780 5.56181 5.56379 5.64717 5.70292 5.77424 5.87197 6.01862 6.08892 6.11451 6.17533 6.24151 6.32492 6.37957 6.51495 6.55043 6.72182 6.90415 6.98473 6.98616 7.03284 7.35110 7.35615 7.50316 8.03553 8.22324 8.47843 8.70443 8.90632 9.69346 11.07473 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019088 B = 0.002277 C = 0.002148 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1466.500541 B =12293.644535 C =13029.830874 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.359 6.359 3 C 0.465 3.535 4 O -0.499 6.499 5 C -0.073 4.073 6 H 0.111 0.889 7 C -0.130 4.130 8 C 0.115 3.885 9 N -0.633 5.633 10 C 0.706 3.294 11 O -0.590 6.590 12 N -0.738 5.738 13 C 0.145 3.855 14 C -0.065 4.065 15 C -0.125 4.125 16 C -0.125 4.125 17 C 0.023 3.977 18 C -0.591 4.591 19 H 0.053 0.947 20 C 0.013 3.987 21 N -0.914 5.914 22 Si 1.066 2.934 23 H -0.284 1.284 24 H -0.289 1.289 25 H -0.289 1.289 26 C 0.136 3.864 27 C -0.090 4.090 28 H 0.090 0.910 29 C -0.155 4.155 30 H 0.063 0.937 31 H 0.101 0.899 32 H 0.062 0.938 33 H 0.080 0.920 34 H 0.089 0.911 35 H 0.084 0.916 36 H 0.074 0.926 37 H 0.393 0.607 38 H 0.061 0.939 39 H 0.060 0.940 40 H 0.068 0.932 41 H 0.028 0.972 42 H 0.046 0.954 43 H 0.047 0.953 44 H 0.028 0.972 45 H 0.068 0.932 46 H 0.009 0.991 47 H 0.009 0.991 48 H 0.269 0.731 49 H 0.066 0.934 50 H 0.101 0.899 51 H 0.073 0.927 52 H 0.058 0.942 53 H 0.055 0.945 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.111 -8.260 20.086 28.929 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 -0.059 4.059 2 O -0.276 6.276 3 C 0.308 3.692 4 O -0.386 6.386 5 C -0.092 4.092 6 H 0.129 0.871 7 C -0.169 4.169 8 C -0.009 4.009 9 N -0.372 5.372 10 C 0.407 3.593 11 O -0.468 6.468 12 N -0.395 5.395 13 C 0.022 3.978 14 C -0.066 4.066 15 C -0.182 4.182 16 C -0.182 4.182 17 C -0.014 4.014 18 C -0.629 4.629 19 H 0.071 0.929 20 C -0.191 4.191 21 N -0.550 5.550 22 Si 0.895 3.105 23 H -0.209 1.209 24 H -0.216 1.216 25 H -0.216 1.216 26 C 0.013 3.987 27 C -0.109 4.109 28 H 0.108 0.892 29 C -0.212 4.212 30 H 0.082 0.918 31 H 0.120 0.880 32 H 0.081 0.919 33 H 0.098 0.902 34 H 0.108 0.892 35 H 0.102 0.898 36 H 0.092 0.908 37 H 0.231 0.769 38 H 0.080 0.920 39 H 0.078 0.922 40 H 0.087 0.913 41 H 0.047 0.953 42 H 0.065 0.935 43 H 0.066 0.934 44 H 0.047 0.953 45 H 0.087 0.913 46 H 0.027 0.973 47 H 0.027 0.973 48 H 0.080 0.920 49 H 0.085 0.915 50 H 0.119 0.881 51 H 0.092 0.908 52 H 0.077 0.923 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -18.204 -7.299 18.741 27.127 hybrid contribution -1.287 -0.290 1.446 1.957 sum -19.491 -7.589 20.187 29.069 Atomic orbital electron populations 1.23278 0.76279 1.03765 1.02585 1.86513 1.23466 1.33543 1.84036 1.23807 0.91997 0.81295 0.72132 1.90637 1.67153 1.36136 1.44661 1.21121 0.86940 0.99348 1.01840 0.87087 1.21999 0.96031 1.01736 0.97087 1.21582 0.93650 0.82977 1.02714 1.47242 1.47828 1.12257 1.29836 1.15880 0.79258 0.84388 0.79767 1.90905 1.60616 1.18673 1.76584 1.45523 1.55094 1.15756 1.23116 1.21488 0.93187 0.95679 0.87474 1.20761 0.96593 0.94829 0.94384 1.21739 0.95574 1.01222 0.99657 1.21742 0.98898 0.98071 0.99521 1.19209 0.93385 0.95997 0.92844 1.21960 1.34443 0.98888 1.07640 0.92905 1.25787 0.93999 0.99358 0.99951 1.70771 1.43609 1.04662 1.35968 0.83582 0.76332 0.74700 0.75924 1.20903 1.21552 1.21571 1.21577 0.90916 0.98278 0.87957 1.21502 0.95740 0.92649 1.01016 0.89222 1.22012 1.02298 1.00526 0.96386 0.91842 0.88039 0.91910 0.90162 0.89203 0.89798 0.90767 0.76940 0.92016 0.92203 0.91316 0.95342 0.93471 0.93416 0.95320 0.91314 0.97259 0.97294 0.92047 0.91537 0.88098 0.90839 0.92338 0.92577 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 0.19 10.56 101.05 1.07 1.26 16 2 O -0.36 -2.80 10.44 -39.27 -0.41 -3.21 16 3 C 0.46 4.10 6.97 36.00 0.25 4.35 16 4 O -0.50 -5.68 13.50 -18.74 -0.25 -5.93 16 5 C -0.07 -0.52 2.37 -91.73 -0.22 -0.74 16 6 H 0.11 0.57 8.14 -51.93 -0.42 0.15 16 7 C -0.13 -0.88 4.96 -26.61 -0.13 -1.02 16 8 C 0.11 0.86 6.43 -3.71 -0.02 0.84 16 9 N -0.63 -6.90 2.40 -178.23 -0.43 -7.33 16 10 C 0.71 10.74 8.30 -86.91 -0.72 10.01 16 11 O -0.59 -11.42 15.78 5.30 0.08 -11.34 16 12 N -0.74 -10.77 4.87 -65.23 -0.32 -11.08 16 13 C 0.15 2.59 4.57 -4.05 -0.02 2.57 16 14 C -0.07 -1.23 0.54 -154.51 -0.08 -1.31 16 15 C -0.12 -2.17 8.05 37.16 0.30 -1.88 16 16 C -0.13 -2.18 8.05 37.16 0.30 -1.89 16 17 C 0.02 0.56 3.35 -27.88 -0.09 0.47 16 18 C -0.59 -15.73 7.65 -34.44 -0.26 -15.99 16 19 H 0.05 1.36 5.68 -52.49 -0.30 1.06 16 20 C 0.01 0.36 5.46 -17.82 -0.10 0.26 16 21 N -0.91 -27.66 13.65 55.43 0.76 -26.90 16 22 Si 1.07 24.76 29.90 -169.99 -5.08 19.68 16 23 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 24 H -0.29 -6.39 7.11 56.52 0.40 -5.99 16 25 H -0.29 -6.40 7.11 56.52 0.40 -6.00 16 26 C 0.14 1.30 5.86 -3.49 -0.02 1.28 16 27 C -0.09 -0.77 2.36 -90.27 -0.21 -0.98 16 28 H 0.09 0.73 8.07 -51.93 -0.42 0.31 16 29 C -0.16 -1.66 8.41 37.16 0.31 -1.34 16 30 H 0.06 0.37 8.13 -51.93 -0.42 -0.05 16 31 H 0.10 0.31 8.14 -51.93 -0.42 -0.11 16 32 H 0.06 0.34 8.13 -51.93 -0.42 -0.08 16 33 H 0.08 0.67 6.33 -51.93 -0.33 0.34 16 34 H 0.09 0.48 8.08 -51.93 -0.42 0.06 16 35 H 0.08 0.62 5.57 -51.93 -0.29 0.33 16 36 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.39 4.82 3.62 -40.82 -0.15 4.67 16 38 H 0.06 1.19 8.14 -51.93 -0.42 0.76 16 39 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 40 H 0.07 1.30 6.62 -51.93 -0.34 0.96 16 41 H 0.03 0.40 6.86 -51.93 -0.36 0.04 16 42 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 43 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 44 H 0.03 0.40 6.86 -51.93 -0.36 0.04 16 45 H 0.07 1.30 6.62 -51.93 -0.34 0.96 16 46 H 0.01 0.24 8.01 -51.93 -0.42 -0.18 16 47 H 0.01 0.23 8.01 -51.93 -0.42 -0.19 16 48 H 0.27 8.15 7.22 -40.82 -0.29 7.86 16 49 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 50 H 0.10 1.19 7.03 -51.92 -0.37 0.82 16 51 H 0.07 0.84 5.64 -51.93 -0.29 0.55 16 52 H 0.06 0.66 8.14 -51.92 -0.42 0.24 16 53 H 0.06 0.65 5.97 -51.93 -0.31 0.34 16 LS Contribution 401.47 15.07 6.05 6.05 Total: -1.00 -33.78 401.47 -8.10 -41.88 By element: Atomic # 1 Polarization: 11.12 SS G_CDS: -8.84 Total: 2.28 kcal Atomic # 6 Polarization: -4.44 SS G_CDS: 0.34 Total: -4.10 kcal Atomic # 7 Polarization: -45.32 SS G_CDS: 0.01 Total: -45.31 kcal Atomic # 8 Polarization: -19.90 SS G_CDS: -0.58 Total: -20.48 kcal Atomic # 14 Polarization: 24.76 SS G_CDS: -5.08 Total: 19.68 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -33.78 -8.10 -41.88 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. ZINC000358740270.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 -87.518 kcal (2) G-P(sol) polarization free energy of solvation -33.777 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -121.295 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.099 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.876 kcal (6) G-S(sol) free energy of system = (1) + (5) -129.394 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.83 seconds