Wall clock time and date at job start Tue Mar 31 2020 21:05:37 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 C 1.53001 * 1 3 3 C 1.52995 * 109.47351 * 2 1 4 4 C 1.52998 * 109.47069 * 179.97438 * 3 2 1 5 5 H 1.08999 * 110.81475 * 51.67132 * 4 3 2 6 6 C 1.54891 * 110.75823 * 288.33358 * 4 3 2 7 7 C 1.54270 * 104.19352 * 203.74241 * 6 4 3 8 8 C 1.53878 * 106.59966 * 23.61185 * 7 6 4 9 9 C 1.54267 * 106.59719 * 359.97438 * 8 7 6 10 10 H 1.09002 * 110.48482 * 95.07513 * 9 8 7 11 11 C 1.50700 * 110.48221 * 217.58146 * 9 8 7 12 12 O 1.21281 * 119.99639 * 116.76250 * 11 9 8 13 13 N 1.34779 * 120.00106 * 296.75577 * 11 9 8 14 14 C 1.47127 * 121.05385 * 359.72240 * 13 11 9 15 15 C 1.52800 * 108.95243 * 232.19897 * 14 13 11 16 16 O 1.43107 * 109.41759 * 306.09600 * 15 14 13 17 17 C 1.42488 * 113.97338 * 59.83923 * 16 15 14 18 18 C 1.53467 * 113.76576 * 73.18812 * 17 16 15 19 19 N 1.47674 * 85.96666 * 91.28231 * 18 17 16 20 20 C 1.36940 * 134.45195 * 204.33576 * 19 18 17 21 21 H 1.07999 * 119.99127 * 173.43222 * 20 19 18 22 22 C 1.38805 * 120.00304 * 353.43310 * 20 19 18 23 23 N 1.31617 * 120.00311 * 5.07684 * 22 20 19 24 24 Si 1.86805 * 120.00082 * 185.06919 * 22 20 19 25 25 H 1.48498 * 109.47114 * 94.98713 * 24 22 20 26 26 H 1.48493 * 109.47186 * 214.99148 * 24 22 20 27 27 H 1.48504 * 109.46877 * 334.99043 * 24 22 20 28 28 C 1.47669 * 91.08586 * 24.29600 * 19 18 17 29 29 C 1.47341 * 121.05087 * 180.02562 * 13 11 9 30 30 H 1.09000 * 109.47081 * 59.99799 * 1 2 3 31 31 H 1.08999 * 109.46972 * 179.97438 * 1 2 3 32 32 H 1.08995 * 109.47153 * 299.99892 * 1 2 3 33 33 H 1.09008 * 109.46833 * 240.00027 * 2 1 3 34 34 H 1.09008 * 109.47094 * 120.00844 * 2 1 3 35 35 H 1.09001 * 109.46586 * 60.00589 * 3 2 1 36 36 H 1.08993 * 109.47561 * 300.00002 * 3 2 1 37 37 H 1.09000 * 110.48604 * 85.06532 * 6 4 3 38 38 H 1.08996 * 110.59817 * 322.47152 * 6 4 3 39 39 H 1.08995 * 110.03279 * 264.32392 * 7 6 4 40 40 H 1.09009 * 110.02917 * 142.89386 * 7 6 4 41 41 H 1.09006 * 110.02854 * 240.71386 * 8 7 6 42 42 H 1.08993 * 110.03297 * 119.28378 * 8 7 6 43 43 H 1.09000 * 109.59251 * 352.02443 * 14 13 11 44 44 H 1.09004 * 109.59146 * 112.48168 * 14 13 11 45 45 H 1.08999 * 109.56140 * 186.04682 * 15 14 13 46 46 H 1.09006 * 109.37322 * 66.03086 * 15 14 13 47 47 H 1.08992 * 113.79680 * 205.54690 * 18 17 16 48 48 H 1.08999 * 113.78933 * 337.02376 * 18 17 16 49 49 H 0.96994 * 120.00445 * 180.02562 * 23 22 20 50 50 H 1.08998 * 113.79395 * 221.43351 * 28 19 18 51 51 H 1.09003 * 113.89399 * 89.97994 * 28 19 18 52 52 H 1.09004 * 109.74758 * 251.22138 * 29 13 11 53 53 H 1.08999 * 109.75250 * 11.89949 * 29 13 11 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4424 0.0000 4 6 3.5700 1.4424 0.0006 5 1 3.9577 0.8104 -0.7983 6 6 4.1184 0.9870 1.3758 7 6 5.5326 1.5999 1.4409 8 6 5.5330 2.8068 0.4864 9 6 4.1192 2.8848 -0.1259 10 1 3.4972 3.5801 0.4378 11 6 4.1933 3.2995 -1.5729 12 8 3.8125 2.5428 -2.4407 13 7 4.6827 4.5113 -1.9024 14 6 5.1454 5.4498 -0.8681 15 6 4.4588 6.7985 -1.0790 16 8 4.6749 7.2373 -2.4239 17 6 4.1693 6.3445 -3.4125 18 6 2.6390 6.3523 -3.5283 19 7 2.8260 7.3994 -4.5527 20 6 2.0450 8.4116 -5.0432 21 1 2.4607 9.1259 -5.7384 22 6 0.7191 8.5196 -4.6468 23 7 0.2399 7.7115 -3.7250 24 14 -0.3851 9.8120 -5.4214 25 1 -1.1406 9.2070 -6.5476 26 1 -1.3382 10.3230 -4.4038 27 1 0.4459 10.9334 -5.9286 28 6 4.1931 6.9180 -4.8355 29 6 4.7652 4.9406 -3.3095 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.8933 -0.5139 -0.8901 34 1 1.8934 -0.5140 0.8900 35 1 1.6768 1.9562 0.8901 36 1 1.6768 1.9563 -0.8899 37 1 4.1714 -0.1007 1.4241 38 1 3.4974 1.3741 2.1836 39 1 6.2722 0.8676 1.1172 40 1 5.7511 1.9276 2.4573 41 1 6.2728 2.6602 -0.3006 42 1 5.7517 3.7202 1.0395 43 1 4.8907 5.0616 0.1180 44 1 6.2252 5.5764 -0.9461 45 1 4.8730 7.5311 -0.3863 46 1 3.3890 6.6918 -0.8986 47 1 2.2228 5.4239 -3.9192 48 1 2.1318 6.7024 -2.6292 49 1 -0.6867 7.7867 -3.4482 50 1 4.9207 7.7174 -4.9752 51 1 4.2411 6.1578 -5.6152 52 1 5.8074 4.9589 -3.6284 53 1 4.1999 4.2528 -3.9382 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001053320340.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:05:37 Heat of formation + Delta-G solvation = -36.528334 kcal Electronic energy + Delta-G solvation = -31260.444963 eV Core-core repulsion = 27326.354768 eV Total energy + Delta-G solvation = -3934.090194 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.69488 -39.30603 -37.52681 -36.21838 -34.73012 -34.24692 -32.26537 -30.35690 -29.87942 -29.35854 -27.69161 -25.95387 -25.20457 -25.05974 -23.29078 -22.26744 -21.62178 -20.82419 -20.15858 -18.98672 -18.73828 -17.17335 -16.77886 -16.22204 -15.84649 -15.54408 -15.17471 -15.03038 -14.84201 -14.50707 -14.20244 -14.09188 -13.91147 -13.53523 -13.33980 -13.28760 -13.01038 -12.73188 -12.55146 -12.46357 -12.26235 -11.94558 -11.80427 -11.43435 -11.33487 -11.32312 -11.12680 -10.96449 -10.87307 -10.81302 -10.76663 -10.66227 -10.59989 -10.49655 -10.39733 -10.18535 -9.92483 -9.58870 -9.43855 -9.22053 -8.79032 -8.19863 -6.84728 -5.74749 -3.05999 2.77107 3.03126 3.41561 3.46357 3.48499 4.06167 4.23511 4.37129 4.43927 4.47255 4.81543 4.90002 4.94598 5.01024 5.05128 5.13293 5.15158 5.21653 5.26282 5.29779 5.30968 5.35029 5.40406 5.43425 5.45509 5.59255 5.60776 5.65460 5.74600 5.74970 5.80588 5.82002 5.84744 5.95046 5.96640 5.99643 6.04460 6.08120 6.10811 6.20979 6.32159 6.36659 6.41181 6.49966 6.51654 6.62089 7.03392 7.19522 7.51779 7.52817 7.83148 7.99494 8.31859 9.06405 9.73042 10.60639 11.42954 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012702 B = 0.003357 C = 0.002874 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2203.800568 B = 8339.239550 C = 9740.479924 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.120 4.120 3 C -0.112 4.112 4 C -0.069 4.069 5 H 0.088 0.912 6 C -0.120 4.120 7 C -0.123 4.123 8 C -0.115 4.115 9 C -0.111 4.111 10 H 0.100 0.900 11 C 0.524 3.476 12 O -0.537 6.537 13 N -0.609 5.609 14 C 0.072 3.928 15 C 0.045 3.955 16 O -0.342 6.342 17 C 0.049 3.951 18 C 0.156 3.844 19 N -0.603 5.603 20 C -0.219 4.219 21 H 0.081 0.919 22 C -0.007 4.007 23 N -0.920 5.920 24 Si 0.910 3.090 25 H -0.289 1.289 26 H -0.291 1.291 27 H -0.280 1.280 28 C 0.136 3.864 29 C 0.100 3.900 30 H 0.056 0.944 31 H 0.050 0.950 32 H 0.052 0.948 33 H 0.061 0.939 34 H 0.058 0.942 35 H 0.059 0.941 36 H 0.069 0.931 37 H 0.066 0.934 38 H 0.067 0.933 39 H 0.064 0.936 40 H 0.065 0.935 41 H 0.067 0.933 42 H 0.072 0.928 43 H 0.093 0.907 44 H 0.074 0.926 45 H 0.100 0.900 46 H 0.059 0.941 47 H 0.035 0.965 48 H 0.071 0.929 49 H 0.253 0.747 50 H 0.055 0.945 51 H 0.050 0.950 52 H 0.067 0.933 53 H 0.101 0.899 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.889 -13.303 13.595 21.917 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 -0.211 4.211 2 C -0.158 4.158 3 C -0.150 4.150 4 C -0.088 4.088 5 H 0.106 0.894 6 C -0.158 4.158 7 C -0.161 4.161 8 C -0.153 4.153 9 C -0.132 4.132 10 H 0.118 0.882 11 C 0.312 3.688 12 O -0.413 6.413 13 N -0.343 5.343 14 C -0.051 4.051 15 C -0.033 4.033 16 O -0.260 6.260 17 C 0.007 3.993 18 C 0.030 3.970 19 N -0.329 5.329 20 C -0.347 4.347 21 H 0.099 0.901 22 C -0.203 4.203 23 N -0.567 5.567 24 Si 0.741 3.259 25 H -0.216 1.216 26 H -0.217 1.217 27 H -0.205 1.205 28 C 0.009 3.991 29 C -0.024 4.024 30 H 0.075 0.925 31 H 0.069 0.931 32 H 0.071 0.929 33 H 0.080 0.920 34 H 0.076 0.924 35 H 0.078 0.922 36 H 0.088 0.912 37 H 0.085 0.915 38 H 0.086 0.914 39 H 0.082 0.918 40 H 0.084 0.916 41 H 0.086 0.914 42 H 0.091 0.909 43 H 0.111 0.889 44 H 0.092 0.908 45 H 0.118 0.882 46 H 0.078 0.922 47 H 0.052 0.948 48 H 0.089 0.911 49 H 0.063 0.937 50 H 0.073 0.927 51 H 0.067 0.933 52 H 0.085 0.915 53 H 0.119 0.881 Dipole moment (debyes) X Y Z Total from point charges 10.482 -13.327 13.047 21.394 hybrid contribution -0.824 0.577 -0.321 1.056 sum 9.659 -12.750 12.726 20.440 Atomic orbital electron populations 1.21782 0.96071 1.01259 1.01995 1.21485 0.95668 0.96927 1.01680 1.21602 0.94050 0.96971 1.02339 1.21984 0.95457 0.93869 0.97492 0.89408 1.22457 0.95769 1.00396 0.97147 1.22116 0.97594 0.97098 0.99248 1.22214 0.95265 0.99037 0.98772 1.22231 0.98556 0.99339 0.93116 0.88198 1.20498 0.76466 0.80756 0.91072 1.90682 1.47868 1.51779 1.50997 1.48140 1.63175 1.15385 1.07593 1.22455 0.99628 0.90968 0.92048 1.22806 1.00461 0.94458 0.85526 1.87926 1.79399 1.45474 1.13203 1.23703 0.97285 0.87218 0.91078 1.22600 0.89239 0.91177 0.93982 1.45769 1.11979 1.31916 1.43260 1.19006 0.91151 1.02528 1.22011 0.90095 1.24797 0.96678 0.99391 0.99462 1.69833 1.14633 1.40247 1.32026 0.86122 0.80655 0.80693 0.78470 1.21642 1.21749 1.20522 1.22491 0.89650 0.96270 0.90672 1.22222 1.01368 0.96654 0.82123 0.92517 0.93080 0.92912 0.92033 0.92353 0.92212 0.91206 0.91509 0.91424 0.91768 0.91646 0.91392 0.90908 0.88932 0.90797 0.88192 0.92224 0.94759 0.91122 0.93712 0.92687 0.93286 0.91496 0.88108 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 -0.15 -1.50 9.91 37.16 0.37 -1.14 16 2 C -0.12 -1.20 5.83 -26.73 -0.16 -1.36 16 3 C -0.11 -1.26 4.71 -26.73 -0.13 -1.38 16 4 C -0.07 -0.74 1.90 -88.64 -0.17 -0.91 16 5 H 0.09 1.10 7.50 -51.93 -0.39 0.71 16 6 C -0.12 -0.97 5.69 -25.07 -0.14 -1.11 16 7 C -0.12 -0.91 6.80 -25.61 -0.17 -1.09 16 8 C -0.12 -0.98 5.24 -25.61 -0.13 -1.12 16 9 C -0.11 -1.23 1.76 -90.12 -0.16 -1.38 16 10 H 0.10 1.04 7.57 -51.93 -0.39 0.65 16 11 C 0.52 7.85 6.95 -10.98 -0.08 7.77 16 12 O -0.54 -9.93 15.18 5.56 0.08 -9.85 16 13 N -0.61 -8.94 3.03 -172.70 -0.52 -9.46 16 14 C 0.07 0.85 5.78 -3.80 -0.02 0.82 16 15 C 0.05 0.66 6.87 37.05 0.25 0.92 16 16 O -0.34 -6.56 10.52 -35.23 -0.37 -6.93 16 17 C 0.05 0.96 1.21 -90.32 -0.11 0.85 16 18 C 0.16 3.82 6.56 -3.17 -0.02 3.80 16 19 N -0.60 -16.03 3.70 -180.33 -0.67 -16.70 16 20 C -0.22 -6.34 10.69 -15.06 -0.16 -6.50 16 21 H 0.08 2.25 7.83 -52.49 -0.41 1.84 16 22 C -0.01 -0.20 5.50 -17.43 -0.10 -0.29 16 23 N -0.92 -27.95 11.51 55.49 0.64 -27.31 16 24 Si 0.91 22.60 29.56 -169.99 -5.02 17.57 16 25 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 26 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 27 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 28 C 0.14 2.88 8.33 -3.18 -0.03 2.85 16 29 C 0.10 1.65 5.78 -3.65 -0.02 1.63 16 30 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 31 H 0.05 0.44 8.14 -51.93 -0.42 0.02 16 32 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 33 H 0.06 0.66 8.14 -51.92 -0.42 0.23 16 34 H 0.06 0.50 7.65 -51.92 -0.40 0.11 16 35 H 0.06 0.61 7.99 -51.93 -0.41 0.20 16 36 H 0.07 0.98 8.07 -51.93 -0.42 0.57 16 37 H 0.07 0.50 8.09 -51.93 -0.42 0.08 16 38 H 0.07 0.51 7.94 -51.93 -0.41 0.10 16 39 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 40 H 0.06 0.41 8.14 -51.92 -0.42 -0.01 16 41 H 0.07 0.64 7.83 -51.93 -0.41 0.24 16 42 H 0.07 0.51 6.76 -51.93 -0.35 0.16 16 43 H 0.09 0.84 4.56 -51.93 -0.24 0.60 16 44 H 0.07 0.77 8.14 -51.93 -0.42 0.34 16 45 H 0.10 1.18 8.14 -51.93 -0.42 0.75 16 46 H 0.06 0.99 7.19 -51.93 -0.37 0.62 16 47 H 0.03 0.89 7.94 -51.93 -0.41 0.48 16 48 H 0.07 1.92 6.51 -51.93 -0.34 1.58 16 49 H 0.25 7.43 8.31 -40.82 -0.34 7.09 16 50 H 0.05 1.12 8.14 -51.93 -0.42 0.70 16 51 H 0.05 0.96 8.09 -51.93 -0.42 0.54 16 52 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 53 H 0.10 1.84 6.91 -51.93 -0.36 1.48 16 LS Contribution 402.49 15.07 6.07 6.07 Total: -1.00 -33.97 402.49 -10.28 -44.25 By element: Atomic # 1 Polarization: 9.51 SS G_CDS: -9.52 Total: -0.01 kcal Atomic # 6 Polarization: 3.34 SS G_CDS: -0.97 Total: 2.37 kcal Atomic # 7 Polarization: -52.92 SS G_CDS: -0.55 Total: -53.47 kcal Atomic # 8 Polarization: -16.50 SS G_CDS: -0.29 Total: -16.78 kcal Atomic # 14 Polarization: 22.60 SS G_CDS: -5.02 Total: 17.57 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -33.97 -10.28 -44.25 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. ZINC001053320340.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 7.724 kcal (2) G-P(sol) polarization free energy of solvation -33.969 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -26.245 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.283 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.253 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.528 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds