Wall clock time and date at job start Tue Mar 31 2020 21:30:17 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 1.52998 * 1 3 3 H 1.09003 * 109.82559 * 2 1 4 4 O 1.43233 * 109.83284 * 239.10878 * 2 1 3 5 5 C 1.43654 * 109.97117 * 242.20221 * 4 2 1 6 6 C 1.54943 * 105.22076 * 335.51985 * 5 4 2 7 7 C 1.54386 * 109.82635 * 120.97277 * 2 1 3 8 8 H 1.09004 * 110.84784 * 22.48295 * 7 2 1 9 9 C 1.50703 * 110.85074 * 259.06140 * 7 2 1 10 10 O 1.21279 * 119.99699 * 0.02562 * 9 7 2 11 11 N 1.34767 * 119.99972 * 180.02562 * 9 7 2 12 12 C 1.46928 * 120.64592 * 359.71854 * 11 9 7 13 13 C 1.52762 * 109.01856 * 233.61325 * 12 11 9 14 14 C 1.53026 * 109.40139 * 305.60013 * 13 12 11 15 15 C 1.53047 * 109.43617 * 181.11996 * 14 13 12 16 16 C 1.53184 * 109.33292 * 58.68378 * 15 14 13 17 17 N 1.46933 * 108.76930 * 54.64417 * 16 15 14 18 18 C 1.36939 * 120.63854 * 126.37741 * 17 16 15 19 19 H 1.08000 * 119.99840 * 332.61394 * 18 17 16 20 20 C 1.38811 * 119.99895 * 152.61198 * 18 17 16 21 21 N 1.31620 * 120.00259 * 159.36515 * 20 18 17 22 22 Si 1.86798 * 120.00116 * 339.36395 * 20 18 17 23 23 H 1.48505 * 109.47173 * 92.91335 * 22 20 18 24 24 H 1.48494 * 109.47544 * 212.91637 * 22 20 18 25 25 H 1.48500 * 109.47156 * 332.91952 * 22 20 18 26 26 C 1.46919 * 118.72335 * 306.36432 * 17 16 15 27 27 C 1.53029 * 109.45921 * 301.17760 * 14 13 12 28 28 C 1.53039 * 109.54708 * 61.17763 * 14 13 12 29 29 C 1.46931 * 120.64538 * 180.02562 * 11 9 7 30 30 H 1.08997 * 109.47143 * 179.43257 * 1 2 3 31 31 H 1.09001 * 109.47409 * 299.43870 * 1 2 3 32 32 H 1.09003 * 109.46725 * 59.43822 * 1 2 3 33 33 H 1.08998 * 110.31312 * 94.48470 * 5 4 2 34 34 H 1.09004 * 110.30625 * 216.55829 * 5 4 2 35 35 H 1.08998 * 111.12567 * 154.41302 * 6 5 4 36 36 H 1.09006 * 111.13017 * 278.57908 * 6 5 4 37 37 H 1.09001 * 109.58344 * 353.44876 * 12 11 9 38 38 H 1.09000 * 109.58968 * 113.87112 * 12 11 9 39 39 H 1.08999 * 109.56124 * 185.55608 * 13 12 11 40 40 H 1.08996 * 109.35781 * 65.51692 * 13 12 11 41 41 H 1.08996 * 109.49615 * 178.64984 * 15 14 13 42 42 H 1.09005 * 109.49260 * 298.73203 * 15 14 13 43 43 H 1.08997 * 109.58889 * 294.86132 * 16 15 14 44 44 H 1.08995 * 109.59136 * 174.42874 * 16 15 14 45 45 H 0.96998 * 120.00211 * 180.02562 * 21 20 18 46 46 H 1.09003 * 109.57984 * 293.83594 * 26 17 16 47 47 H 1.08997 * 109.58762 * 173.41430 * 26 17 16 48 48 H 1.09007 * 109.49211 * 61.26640 * 27 14 13 49 49 H 1.09001 * 109.49638 * 181.34537 * 27 14 13 50 50 H 1.09006 * 109.48934 * 178.72154 * 28 14 13 51 51 H 1.08994 * 109.49696 * 58.64125 * 28 14 13 52 52 H 1.08998 * 109.58896 * 246.12173 * 29 11 9 53 53 H 1.09010 * 109.58102 * 6.40246 * 29 11 9 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 1 1.8997 1.0254 0.0000 4 8 2.0159 -0.6918 -1.1562 5 6 2.7747 -1.8440 -0.7558 6 6 3.2751 -1.5242 0.6753 7 6 2.0536 -0.7474 1.2453 8 1 1.2997 -1.4335 1.6314 9 6 2.4869 0.2251 2.3118 10 8 2.3947 1.4187 2.1177 11 7 2.9770 -0.2315 3.4812 12 6 3.0892 -1.6746 3.7338 13 6 2.3775 -2.0075 5.0439 14 6 2.9369 -1.1278 6.1641 15 6 2.2441 -1.4802 7.4825 16 6 2.4725 -2.9623 7.7951 17 7 3.9170 -3.2311 7.7822 18 6 4.5255 -3.8271 8.8544 19 1 4.1087 -3.7128 9.8441 20 6 5.6781 -4.5782 8.6691 21 7 6.4840 -4.8082 9.6840 22 14 6.0853 -5.2627 6.9794 23 1 6.9638 -4.3079 6.2571 24 1 6.7851 -6.5640 7.1279 25 1 4.8307 -5.4603 6.2099 26 6 4.6958 -2.8484 6.5966 27 6 4.4425 -1.3676 6.2969 28 6 2.6829 0.3448 5.8340 29 6 3.4031 0.7040 4.5311 30 1 -0.3633 -1.0276 -0.0102 31 1 -0.3634 0.5051 0.8950 32 1 -0.3633 0.5226 -0.8849 33 1 2.1401 -2.7301 -0.7455 34 1 3.6200 -1.9925 -1.4278 35 1 3.4600 -2.4380 1.2401 36 1 4.1641 -0.8940 0.6491 37 1 2.6239 -2.2258 2.9166 38 1 4.1406 -1.9512 3.8119 39 1 2.5389 -3.0569 5.2904 40 1 1.3096 -1.8196 4.9328 41 1 2.6588 -0.8709 8.2855 42 1 1.1749 -1.2876 7.3943 43 1 1.9801 -3.5751 7.0400 44 1 2.0663 -3.1950 8.7794 45 1 7.2896 -5.3327 9.5544 46 1 4.3842 -3.4522 5.7443 47 1 5.7569 -3.0057 6.7901 48 1 4.9378 -1.0952 5.3649 49 1 4.8374 -0.7591 7.1104 50 1 3.0615 0.9694 6.6431 51 1 1.6124 0.5117 5.7156 52 1 4.4806 0.6250 4.6755 53 1 3.1473 1.7225 4.2386 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 ZINC000957626569.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 21:30:17 Heat of formation + Delta-G solvation = -59.456715 kcal Electronic energy + Delta-G solvation = -31765.676221 eV Core-core repulsion = 27830.591777 eV Total energy + Delta-G solvation = -3935.084444 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.22 seconds Orbital eigenvalues (eV) -41.16078 -39.86165 -38.46732 -36.20996 -33.91742 -32.90580 -31.84547 -31.44164 -31.02871 -30.52229 -28.47642 -26.91811 -25.13565 -23.73380 -23.30396 -22.84925 -22.31561 -21.75437 -20.51022 -19.42759 -18.31649 -17.63080 -16.71082 -16.58033 -16.25089 -15.70860 -15.36938 -15.15395 -14.67666 -14.40167 -14.28814 -14.25037 -14.01423 -13.98929 -13.82220 -13.52825 -13.12915 -12.93326 -12.73721 -12.51741 -12.30274 -12.16759 -12.09044 -11.92858 -11.79955 -11.70275 -11.55268 -11.29173 -11.25948 -11.14405 -10.83197 -10.65977 -10.45384 -10.41823 -10.06068 -9.92743 -9.89156 -9.73545 -9.67267 -9.44452 -8.70234 -8.63536 -6.99130 -5.98696 -3.34056 2.38063 2.76410 3.25652 3.41845 3.44678 3.44913 4.00823 4.21152 4.37612 4.48094 4.56895 4.71170 4.74818 4.82958 4.86127 4.88929 4.92925 5.04734 5.09311 5.16080 5.23057 5.29808 5.30366 5.32449 5.36683 5.42675 5.49845 5.59261 5.60674 5.68668 5.73431 5.76675 5.83101 5.85108 5.90384 5.93995 5.98317 6.05605 6.07380 6.19155 6.34309 6.38363 6.42077 6.53981 6.63981 6.65186 6.67718 6.70831 6.94046 7.22861 7.93230 7.95216 8.29514 8.91105 9.68616 10.06678 11.17544 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017269 B = 0.003326 C = 0.003011 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1621.049585 B = 8417.176697 C = 9296.456330 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.160 4.160 2 C 0.090 3.910 3 H 0.101 0.899 4 O -0.378 6.378 5 C 0.053 3.947 6 C -0.148 4.148 7 C -0.143 4.143 8 H 0.111 0.889 9 C 0.527 3.473 10 O -0.543 6.543 11 N -0.601 5.601 12 C 0.101 3.899 13 C -0.129 4.129 14 C -0.047 4.047 15 C -0.123 4.123 16 C 0.148 3.852 17 N -0.604 5.604 18 C -0.259 4.259 19 H 0.084 0.916 20 C 0.022 3.978 21 N -0.909 5.909 22 Si 0.883 3.117 23 H -0.289 1.289 24 H -0.304 1.304 25 H -0.271 1.271 26 C 0.127 3.873 27 C -0.127 4.127 28 C -0.122 4.122 29 C 0.110 3.890 30 H 0.058 0.942 31 H 0.068 0.932 32 H 0.065 0.935 33 H 0.063 0.937 34 H 0.088 0.912 35 H 0.094 0.906 36 H 0.084 0.916 37 H 0.082 0.918 38 H 0.076 0.924 39 H 0.088 0.912 40 H 0.062 0.938 41 H 0.063 0.937 42 H 0.052 0.948 43 H 0.023 0.977 44 H 0.061 0.939 45 H 0.262 0.738 46 H 0.024 0.976 47 H 0.070 0.930 48 H 0.054 0.946 49 H 0.066 0.934 50 H 0.075 0.925 51 H 0.062 0.938 52 H 0.072 0.928 53 H 0.088 0.912 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.793 7.600 -17.279 21.266 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 -0.217 4.217 2 C 0.032 3.968 3 H 0.118 0.882 4 O -0.297 6.297 5 C -0.024 4.024 6 C -0.186 4.186 7 C -0.164 4.164 8 H 0.129 0.871 9 C 0.315 3.685 10 O -0.421 6.421 11 N -0.334 5.334 12 C -0.022 4.022 13 C -0.167 4.167 14 C -0.048 4.048 15 C -0.162 4.162 16 C 0.022 3.978 17 N -0.328 5.328 18 C -0.387 4.387 19 H 0.102 0.898 20 C -0.176 4.176 21 N -0.552 5.552 22 Si 0.714 3.286 23 H -0.217 1.217 24 H -0.232 1.232 25 H -0.196 1.196 26 C 0.001 3.999 27 C -0.166 4.166 28 C -0.160 4.160 29 C -0.012 4.012 30 H 0.077 0.923 31 H 0.087 0.913 32 H 0.084 0.916 33 H 0.082 0.918 34 H 0.106 0.894 35 H 0.113 0.887 36 H 0.103 0.897 37 H 0.100 0.900 38 H 0.094 0.906 39 H 0.106 0.894 40 H 0.081 0.919 41 H 0.082 0.918 42 H 0.071 0.929 43 H 0.041 0.959 44 H 0.079 0.921 45 H 0.072 0.928 46 H 0.042 0.958 47 H 0.088 0.912 48 H 0.072 0.928 49 H 0.084 0.916 50 H 0.094 0.906 51 H 0.081 0.919 52 H 0.090 0.910 53 H 0.107 0.893 Dipole moment (debyes) X Y Z Total from point charges -9.736 8.197 -17.490 21.631 hybrid contribution 0.435 -0.702 -0.477 0.954 sum -9.301 7.495 -17.966 21.575 Atomic orbital electron populations 1.22117 0.94511 1.02356 1.02735 1.22653 0.94498 0.97182 0.82438 0.88160 1.88450 1.70938 1.40386 1.29969 1.23354 0.95280 0.89151 0.94611 1.23422 0.97401 1.01087 0.96671 1.22962 0.99638 0.98052 0.95741 0.87077 1.20106 0.76953 0.88960 0.82490 1.90677 1.55488 1.16544 1.79407 1.48073 1.62644 1.07612 1.15041 1.21908 1.01918 0.79861 0.98492 1.21998 0.99411 1.01665 0.93581 1.20384 0.96278 0.93244 0.94869 1.22042 0.98415 0.99619 0.96123 1.20946 0.85327 0.92181 0.99337 1.44325 1.02329 1.69525 1.16634 1.18926 1.07914 1.24762 0.87084 0.89795 1.25282 0.97203 0.98511 0.96647 1.69836 1.12543 1.41899 1.30930 0.86942 0.77846 0.78038 0.85800 1.21725 1.23237 1.19625 1.21335 0.96742 0.92167 0.89625 1.22170 0.94216 0.99697 1.00547 1.21982 1.00480 0.97045 0.96500 1.21680 0.99105 0.93765 0.86648 0.92316 0.91349 0.91606 0.91846 0.89350 0.88737 0.89686 0.89976 0.90571 0.89361 0.91920 0.91790 0.92885 0.95947 0.92089 0.92782 0.95832 0.91219 0.92782 0.91566 0.90649 0.91904 0.91030 0.89316 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.16 -1.43 9.44 37.16 0.35 -1.08 16 2 C 0.09 0.94 3.61 -26.01 -0.09 0.85 16 3 H 0.10 1.24 6.78 -51.93 -0.35 0.89 16 4 O -0.38 -4.14 11.02 -35.23 -0.39 -4.52 16 5 C 0.05 0.42 7.77 38.18 0.30 0.72 16 6 C -0.15 -1.19 5.82 -24.34 -0.14 -1.33 16 7 C -0.14 -1.35 1.89 -89.68 -0.17 -1.51 16 8 H 0.11 0.90 7.25 -51.93 -0.38 0.52 16 9 C 0.53 6.35 7.07 -10.99 -0.08 6.28 16 10 O -0.54 -8.25 14.83 5.56 0.08 -8.17 16 11 N -0.60 -6.82 2.98 -173.05 -0.52 -7.34 16 12 C 0.10 1.05 5.21 -3.93 -0.02 1.03 16 13 C -0.13 -1.55 4.13 -26.84 -0.11 -1.66 16 14 C -0.05 -0.63 0.51 -154.44 -0.08 -0.71 16 15 C -0.12 -1.82 4.90 -26.61 -0.13 -1.95 16 16 C 0.15 2.68 6.05 -3.71 -0.02 2.65 16 17 N -0.60 -13.41 2.77 -172.33 -0.48 -13.89 16 18 C -0.26 -6.97 10.04 -15.06 -0.15 -7.12 16 19 H 0.08 2.44 8.06 -52.49 -0.42 2.02 16 20 C 0.02 0.63 5.23 -17.43 -0.09 0.54 16 21 N -0.91 -27.38 13.97 55.49 0.78 -26.61 16 22 Si 0.88 21.54 24.35 -169.99 -4.14 17.40 16 23 H -0.29 -6.80 6.62 56.52 0.37 -6.42 16 24 H -0.30 -7.64 7.11 56.52 0.40 -7.24 16 25 H -0.27 -6.37 6.64 56.52 0.38 -5.99 16 26 C 0.13 2.52 3.73 -3.72 -0.01 2.51 16 27 C -0.13 -2.01 4.14 -26.62 -0.11 -2.12 16 28 C -0.12 -1.43 4.90 -26.64 -0.13 -1.56 16 29 C 0.11 1.29 5.96 -3.74 -0.02 1.26 16 30 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 31 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 32 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 33 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.09 0.61 8.14 -51.93 -0.42 0.18 16 35 H 0.09 0.62 6.71 -51.93 -0.35 0.27 16 36 H 0.08 0.75 8.04 -51.93 -0.42 0.34 16 37 H 0.08 0.69 4.60 -51.93 -0.24 0.45 16 38 H 0.08 0.84 6.73 -51.93 -0.35 0.49 16 39 H 0.09 1.21 4.99 -51.93 -0.26 0.95 16 40 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 41 H 0.06 1.02 8.14 -51.93 -0.42 0.60 16 42 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 43 H 0.02 0.39 6.66 -51.93 -0.35 0.04 16 44 H 0.06 1.13 7.93 -51.93 -0.41 0.72 16 45 H 0.26 7.51 8.31 -40.82 -0.34 7.17 16 46 H 0.02 0.46 5.66 -51.93 -0.29 0.16 16 47 H 0.07 1.58 4.49 -51.93 -0.23 1.35 16 48 H 0.05 0.76 5.00 -51.92 -0.26 0.50 16 49 H 0.07 1.13 8.14 -51.93 -0.42 0.71 16 50 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 51 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 52 H 0.07 0.83 6.66 -51.93 -0.35 0.48 16 53 H 0.09 1.10 7.01 -51.92 -0.36 0.74 16 LS Contribution 375.12 15.07 5.65 5.65 Total: -1.00 -31.49 375.12 -8.59 -40.07 By element: Atomic # 1 Polarization: 9.46 SS G_CDS: -8.86 Total: 0.60 kcal Atomic # 6 Polarization: -2.49 SS G_CDS: -0.72 Total: -3.21 kcal Atomic # 7 Polarization: -47.62 SS G_CDS: -0.22 Total: -47.83 kcal Atomic # 8 Polarization: -12.39 SS G_CDS: -0.31 Total: -12.69 kcal Atomic # 14 Polarization: 21.54 SS G_CDS: -4.14 Total: 17.40 kcal Total LS contribution 5.65 Total: 5.65 kcal Total: -31.49 -8.59 -40.07 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. ZINC000957626569.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 -19.384 kcal (2) G-P(sol) polarization free energy of solvation -31.487 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.871 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.585 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.072 kcal (6) G-S(sol) free energy of system = (1) + (5) -59.457 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.22 seconds