Wall clock time and date at job start Sat Apr 11 2020 06:14:38 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 N 1.46901 * 1 3 3 C 1.46903 * 110.99824 * 2 1 4 4 C 1.46898 * 111.00289 * 123.95291 * 2 1 3 5 5 C 1.52997 * 109.47123 * 170.00061 * 4 2 1 6 6 C 1.50703 * 109.47084 * 180.02562 * 5 4 2 7 7 O 1.21278 * 119.99985 * 0.02562 * 6 5 4 8 8 N 1.34779 * 119.99944 * 180.02562 * 6 5 4 9 9 C 1.46499 * 119.99872 * 180.02562 * 8 6 5 10 10 C 1.53000 * 109.46840 * 180.02562 * 9 8 6 11 11 C 1.53001 * 109.46886 * 180.02562 * 10 9 8 12 12 H 1.09009 * 110.28611 * 304.32095 * 11 10 9 13 13 C 1.54259 * 110.33052 * 66.44882 * 11 10 9 14 14 C 1.54374 * 105.06008 * 118.89317 * 13 11 10 15 15 N 1.48568 * 104.59587 * 23.86026 * 14 13 11 16 16 C 1.46901 * 110.99985 * 200.95879 * 15 14 13 17 17 C 1.50698 * 109.46705 * 290.12045 * 16 15 14 18 18 O 1.21296 * 120.00539 * 0.02562 * 17 16 15 19 19 N 1.34781 * 120.00003 * 180.02562 * 17 16 15 20 20 C 1.37091 * 120.00326 * 180.02562 * 19 17 16 21 21 H 1.07999 * 119.99747 * 0.02562 * 20 19 17 22 22 C 1.38953 * 119.99854 * 180.02562 * 20 19 17 23 23 N 1.31407 * 120.00235 * 359.97438 * 22 20 19 24 24 Si 1.86801 * 119.99720 * 179.97438 * 22 20 19 25 25 H 1.48498 * 109.46945 * 89.99940 * 24 22 20 26 26 H 1.48495 * 109.47255 * 210.00117 * 24 22 20 27 27 H 1.48506 * 109.47291 * 330.00297 * 24 22 20 28 28 C 1.48556 * 104.21832 * 320.51432 * 15 14 13 29 29 H 1.08997 * 109.47374 * 296.04221 * 1 2 3 30 30 H 1.08999 * 109.47598 * 56.04936 * 1 2 3 31 31 H 1.09001 * 109.46791 * 176.04482 * 1 2 3 32 32 H 1.08990 * 109.47113 * 183.95131 * 3 2 1 33 33 H 1.09005 * 109.47133 * 303.96060 * 3 2 1 34 34 H 1.09006 * 109.46785 * 63.95303 * 3 2 1 35 35 H 1.09002 * 109.47032 * 50.00210 * 4 2 1 36 36 H 1.09001 * 109.47062 * 290.00334 * 4 2 1 37 37 H 1.09002 * 109.47045 * 60.00157 * 5 4 2 38 38 H 1.09001 * 109.47375 * 300.00082 * 5 4 2 39 39 H 0.97000 * 119.99708 * 359.97438 * 8 6 5 40 40 H 1.09002 * 109.47391 * 59.99686 * 9 8 6 41 41 H 1.09001 * 109.46813 * 299.99742 * 9 8 6 42 42 H 1.09001 * 109.47194 * 299.99493 * 10 9 8 43 43 H 1.08992 * 109.47399 * 59.99666 * 10 9 8 44 44 H 1.08997 * 110.32396 * 237.79924 * 13 11 10 45 45 H 1.09008 * 110.31884 * 359.90063 * 13 11 10 46 46 H 1.09003 * 110.40989 * 142.63734 * 14 13 11 47 47 H 1.09001 * 110.41498 * 264.95714 * 14 13 11 48 48 H 1.08996 * 109.46888 * 50.12099 * 16 15 14 49 49 H 1.09001 * 109.46982 * 170.12448 * 16 15 14 50 50 H 0.97005 * 119.99410 * 359.97438 * 19 17 16 51 51 H 0.97003 * 119.99965 * 179.97438 * 23 22 20 52 52 H 1.09003 * 110.41310 * 280.70283 * 28 15 14 53 53 H 1.09002 * 110.41197 * 158.26363 * 28 15 14 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 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9955 -0.7659 1.1376 5 6 3.5045 -0.9552 0.9703 6 6 4.0445 -1.7416 2.1370 7 8 3.2961 -2.1143 3.0155 8 7 5.3592 -2.0306 2.2041 9 6 5.8841 -2.7955 3.3380 10 6 7.3933 -2.9835 3.1713 11 6 7.9414 -3.7829 4.3552 12 1 7.6828 -3.2931 5.2941 13 6 7.3880 -5.2226 4.3319 14 6 8.6312 -6.1280 4.1981 15 7 9.7494 -5.3103 4.7349 16 6 11.0436 -5.7997 4.2414 17 6 11.3495 -7.1339 4.8718 18 8 10.5663 -7.6287 5.6547 19 7 12.4935 -7.7775 4.5656 20 6 12.7716 -8.9914 5.1386 21 1 12.0738 -9.4323 5.8351 22 6 13.9513 -9.6546 4.8233 23 7 14.8001 -9.1183 3.9755 24 14 14.3305 -11.3084 5.6046 25 1 13.7835 -12.3951 4.7532 26 1 15.8012 -11.4708 5.7305 27 1 13.7082 -11.3740 6.9514 28 6 9.4724 -3.9396 4.2337 29 1 -0.3634 0.4512 0.9233 30 1 -0.3634 0.5739 -0.8524 31 1 -0.3633 -1.0252 -0.0709 32 1 3.0827 1.3433 -0.0708 33 1 1.5897 1.9164 -0.8524 34 1 1.7043 1.8724 0.9234 35 1 1.5091 -1.7406 1.1756 36 1 1.7976 -0.2247 2.0628 37 1 3.9909 0.0195 0.9322 38 1 3.7024 -1.4965 0.0450 39 1 5.9577 -1.7328 1.5012 40 1 5.3979 -3.7703 3.3749 41 1 5.6857 -2.2552 4.2636 42 1 7.5922 -3.5236 2.2456 43 1 7.8791 -2.0086 3.1347 44 1 6.8593 -5.4401 5.2599 45 1 6.7245 -5.3594 3.4779 46 1 8.5060 -7.0354 4.7890 47 1 8.8087 -6.3780 3.1521 48 1 11.0008 -5.9110 3.1580 49 1 11.8254 -5.0866 4.5029 50 1 13.1197 -7.3819 3.9392 51 1 15.6238 -9.5811 3.7557 52 1 9.7827 -3.8453 3.1931 53 1 9.9806 -3.1990 4.8514 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 ZINC001567708508.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 06:14:38 Heat of formation + Delta-G solvation = -71.562348 kcal Electronic energy + Delta-G solvation = -28645.306495 eV Core-core repulsion = 24551.533811 eV Total energy + Delta-G solvation = -4093.772684 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -40.19852 -39.29508 -37.92695 -37.65492 -35.65514 -33.94219 -33.11581 -31.85284 -31.20372 -29.86954 -28.31545 -28.09057 -26.51977 -25.36661 -24.11454 -23.00332 -21.80152 -21.05515 -20.69885 -19.91996 -19.00956 -17.82760 -17.54751 -16.56493 -16.39687 -16.22545 -15.83765 -15.45560 -15.34461 -15.24850 -14.89273 -14.57944 -14.46768 -14.18230 -13.79355 -13.66337 -13.51530 -13.32165 -12.89391 -12.83196 -12.43485 -12.40913 -12.29781 -12.19247 -12.07111 -11.94223 -11.76193 -11.63932 -11.45230 -11.40876 -11.17349 -10.97664 -10.85735 -10.64003 -10.45537 -10.37223 -10.20141 -10.14904 -9.47108 -9.39975 -8.90116 -8.47316 -7.99256 -7.91637 -6.39826 -3.80375 2.30781 2.73532 3.19086 3.27569 3.33766 3.52694 3.93328 4.06845 4.28315 4.33682 4.40516 4.49235 4.59171 4.64215 4.69252 4.84283 4.87823 4.96648 4.98584 5.01909 5.06355 5.12611 5.21259 5.25918 5.32631 5.38655 5.40963 5.41901 5.42805 5.45141 5.50866 5.60023 5.67960 5.76177 5.78684 5.87078 5.89235 5.97934 6.09197 6.19142 6.29601 6.31192 6.46328 6.47832 6.50716 7.12149 7.17540 7.26808 7.57045 7.87649 8.08558 8.64463 9.20533 9.56967 10.09291 10.78090 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.035869 B = 0.001334 C = 0.001330 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 780.434212 B =20977.506651 C =21053.684577 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 N -0.550 5.550 3 C 0.018 3.982 4 C 0.069 3.931 5 C -0.138 4.138 6 C 0.512 3.488 7 O -0.541 6.541 8 N -0.731 5.731 9 C 0.117 3.883 10 C -0.123 4.123 11 C -0.087 4.087 12 H 0.082 0.918 13 C -0.122 4.122 14 C 0.037 3.963 15 N -0.485 5.485 16 C 0.035 3.965 17 C 0.445 3.555 18 O -0.577 6.577 19 N -0.566 5.566 20 C -0.298 4.298 21 H 0.103 0.897 22 C 0.022 3.978 23 N -0.903 5.903 24 Si 0.929 3.071 25 H -0.279 1.279 26 H -0.284 1.284 27 H -0.269 1.269 28 C 0.035 3.965 29 H 0.027 0.973 30 H 0.069 0.931 31 H 0.070 0.930 32 H 0.070 0.930 33 H 0.069 0.931 34 H 0.027 0.973 35 H 0.083 0.917 36 H 0.043 0.957 37 H 0.093 0.907 38 H 0.103 0.897 39 H 0.401 0.599 40 H 0.072 0.928 41 H 0.068 0.932 42 H 0.070 0.930 43 H 0.070 0.930 44 H 0.072 0.928 45 H 0.066 0.934 46 H 0.098 0.902 47 H 0.035 0.965 48 H 0.048 0.952 49 H 0.088 0.912 50 H 0.391 0.609 51 H 0.271 0.729 52 H 0.041 0.959 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.535 21.895 -10.967 31.958 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 -0.124 4.124 2 N -0.274 5.274 3 C -0.130 4.130 4 C -0.059 4.059 5 C -0.179 4.179 6 C 0.298 3.702 7 O -0.418 6.418 8 N -0.383 5.383 9 C -0.006 4.006 10 C -0.161 4.161 11 C -0.107 4.107 12 H 0.101 0.899 13 C -0.160 4.160 14 C -0.090 4.090 15 N -0.209 5.209 16 C -0.097 4.097 17 C 0.230 3.770 18 O -0.461 6.461 19 N -0.203 5.203 20 C -0.428 4.428 21 H 0.121 0.879 22 C -0.179 4.179 23 N -0.545 5.545 24 Si 0.756 3.244 25 H -0.205 1.205 26 H -0.209 1.209 27 H -0.194 1.194 28 C -0.093 4.093 29 H 0.045 0.955 30 H 0.088 0.912 31 H 0.089 0.911 32 H 0.089 0.911 33 H 0.088 0.912 34 H 0.045 0.955 35 H 0.102 0.898 36 H 0.062 0.938 37 H 0.111 0.889 38 H 0.121 0.879 39 H 0.235 0.765 40 H 0.090 0.910 41 H 0.086 0.914 42 H 0.088 0.912 43 H 0.089 0.911 44 H 0.091 0.909 45 H 0.085 0.915 46 H 0.116 0.884 47 H 0.053 0.947 48 H 0.066 0.934 49 H 0.106 0.894 50 H 0.225 0.775 51 H 0.081 0.919 52 H 0.060 0.940 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -21.224 20.948 -9.691 31.356 hybrid contribution 0.913 0.011 -0.633 1.111 sum -20.311 20.959 -10.324 30.958 Atomic orbital electron populations 1.22374 0.86798 1.02574 1.00610 1.61972 1.08322 1.13957 1.43191 1.22476 1.01001 0.88851 1.00691 1.21839 0.93441 0.99278 0.91391 1.21640 0.97095 1.01304 0.97811 1.20641 0.82043 0.79934 0.87561 1.90727 1.57347 1.53262 1.40509 1.46064 1.08783 1.57231 1.26259 1.21451 0.93794 0.96450 0.88922 1.21869 0.93892 1.00980 0.99333 1.21796 0.94785 0.96032 0.98046 0.89915 1.22451 0.97577 0.93776 1.02179 1.23148 0.89702 0.98181 0.98011 1.65133 1.01014 1.00851 1.53913 1.22048 0.92836 0.97438 0.97364 1.19719 0.83910 0.86889 0.86451 1.90505 1.48928 1.68467 1.38176 1.41857 1.18124 1.19265 1.41040 1.19700 1.04302 0.95197 1.23558 0.87948 1.25242 0.95698 0.99957 0.97025 1.69611 1.11079 1.39579 1.34203 0.85869 0.77387 0.81518 0.79588 1.20463 1.20942 1.19406 1.23186 0.94990 0.92730 0.98421 0.95468 0.91209 0.91117 0.91129 0.91249 0.95480 0.89817 0.93831 0.88881 0.87911 0.76524 0.91010 0.91361 0.91157 0.91116 0.90908 0.91519 0.88389 0.94652 0.93359 0.89371 0.77549 0.91932 0.94026 0.90241 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 0.02 0.13 9.57 60.07 0.57 0.71 16 2 N -0.55 -3.58 5.02 -251.26 -1.26 -4.84 16 3 C 0.02 0.09 9.32 60.07 0.56 0.65 16 4 C 0.07 0.50 4.25 -3.83 -0.02 0.49 16 5 C -0.14 -0.81 5.62 -27.88 -0.16 -0.97 16 6 C 0.51 4.51 7.83 -10.98 -0.09 4.43 16 7 O -0.54 -7.11 15.98 5.56 0.09 -7.02 16 8 N -0.73 -5.07 5.56 -60.29 -0.33 -5.41 16 9 C 0.12 0.97 5.50 -4.04 -0.02 0.94 16 10 C -0.12 -0.91 4.52 -26.73 -0.12 -1.03 16 11 C -0.09 -0.89 3.09 -89.24 -0.28 -1.16 16 12 H 0.08 0.84 8.14 -51.92 -0.42 0.42 16 13 C -0.12 -1.46 6.14 -25.35 -0.16 -1.62 16 14 C 0.04 0.60 5.80 -2.18 -0.01 0.58 16 15 N -0.49 -8.12 5.06 -231.41 -1.17 -9.30 16 16 C 0.03 0.63 5.30 -4.98 -0.03 0.60 16 17 C 0.45 10.63 7.59 -10.98 -0.08 10.55 16 18 O -0.58 -15.76 14.42 5.54 0.08 -15.68 16 19 N -0.57 -14.45 5.29 -10.96 -0.06 -14.51 16 20 C -0.30 -8.37 9.68 -14.93 -0.14 -8.51 16 21 H 0.10 3.02 7.16 -52.49 -0.38 2.64 16 22 C 0.02 0.60 5.50 -17.47 -0.10 0.50 16 23 N -0.90 -24.65 13.05 55.50 0.72 -23.92 16 24 Si 0.93 21.17 29.55 -169.99 -5.02 16.14 16 25 H -0.28 -6.27 7.11 56.52 0.40 -5.86 16 26 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 27 H -0.27 -6.14 7.11 56.52 0.40 -5.74 16 28 C 0.04 0.42 6.03 -2.18 -0.01 0.41 16 29 H 0.03 0.15 8.14 -51.93 -0.42 -0.27 16 30 H 0.07 0.31 8.12 -51.93 -0.42 -0.11 16 31 H 0.07 0.37 8.12 -51.93 -0.42 -0.05 16 32 H 0.07 0.28 6.47 -51.93 -0.34 -0.05 16 33 H 0.07 0.29 8.12 -51.93 -0.42 -0.13 16 34 H 0.03 0.14 8.14 -51.93 -0.42 -0.28 16 35 H 0.08 0.70 8.02 -51.93 -0.42 0.28 16 36 H 0.04 0.37 8.08 -51.93 -0.42 -0.05 16 37 H 0.09 0.39 6.55 -51.93 -0.34 0.05 16 38 H 0.10 0.50 8.14 -51.93 -0.42 0.08 16 39 H 0.40 1.65 8.47 -40.82 -0.35 1.30 16 40 H 0.07 0.70 6.93 -51.93 -0.36 0.34 16 41 H 0.07 0.63 8.14 -51.93 -0.42 0.21 16 42 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 43 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 44 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 45 H 0.07 0.70 6.84 -51.92 -0.36 0.35 16 46 H 0.10 1.89 6.91 -51.93 -0.36 1.53 16 47 H 0.04 0.55 7.83 -51.93 -0.41 0.14 16 48 H 0.05 0.79 7.88 -51.93 -0.41 0.38 16 49 H 0.09 1.44 8.13 -51.93 -0.42 1.02 16 50 H 0.39 9.54 7.90 -40.82 -0.32 9.22 16 51 H 0.27 6.99 8.31 -40.82 -0.34 6.66 16 52 H 0.04 0.46 7.72 -51.93 -0.40 0.06 16 53 H 0.08 0.91 8.14 -51.93 -0.42 0.49 16 LS Contribution 421.82 15.07 6.36 6.36 Total: -1.00 -34.20 421.82 -10.15 -44.35 By element: Atomic # 1 Polarization: 16.73 SS G_CDS: -9.47 Total: 7.25 kcal Atomic # 6 Polarization: 6.64 SS G_CDS: -0.08 Total: 6.57 kcal Atomic # 7 Polarization: -55.87 SS G_CDS: -2.10 Total: -57.97 kcal Atomic # 8 Polarization: -22.87 SS G_CDS: 0.17 Total: -22.70 kcal Atomic # 14 Polarization: 21.17 SS G_CDS: -5.02 Total: 16.14 kcal Total LS contribution 6.36 Total: 6.36 kcal Total: -34.20 -10.15 -44.35 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. ZINC001567708508.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 -27.215 kcal (2) G-P(sol) polarization free energy of solvation -34.200 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -61.415 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.147 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.348 kcal (6) G-S(sol) free energy of system = (1) + (5) -71.562 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds