Wall clock time and date at job start Sat Apr 11 2020 06:11:39 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 1.52996 * 1 3 3 H 1.09000 * 109.47501 * 2 1 4 4 C 1.50699 * 109.47559 * 119.99741 * 2 1 3 5 5 O 1.21283 * 120.00137 * 96.39339 * 4 2 1 6 6 N 1.34781 * 120.00171 * 276.39940 * 4 2 1 7 7 C 1.46919 * 120.63089 * 174.74799 * 6 4 2 8 8 C 1.53196 * 108.77464 * 233.62815 * 7 6 4 9 9 C 1.53038 * 109.31152 * 305.36585 * 8 7 6 10 10 N 1.46504 * 109.46039 * 181.38793 * 9 8 7 11 11 C 1.36938 * 119.99411 * 300.00469 * 10 9 8 12 12 H 1.08005 * 120.00076 * 315.24898 * 11 10 9 13 13 C 1.38809 * 120.00369 * 135.26412 * 11 10 9 14 14 N 1.31628 * 119.99721 * 2.84106 * 13 11 10 15 15 Si 1.86797 * 120.00293 * 182.85009 * 13 11 10 16 16 H 1.48491 * 109.47268 * 59.99384 * 15 13 11 17 17 H 1.48505 * 109.46996 * 179.97438 * 15 13 11 18 18 H 1.48496 * 109.46944 * 299.99071 * 15 13 11 19 19 C 1.46496 * 120.00264 * 119.99909 * 10 9 8 20 20 C 1.52995 * 109.46856 * 84.19815 * 19 10 9 21 21 O 1.42901 * 109.47218 * 65.00176 * 20 19 10 22 22 C 1.53033 * 109.54002 * 61.36710 * 9 8 7 23 23 C 1.46927 * 120.62701 * 354.77022 * 6 4 2 24 24 C 1.52997 * 109.47228 * 239.99816 * 2 1 3 25 25 H 1.09001 * 110.33278 * 187.25027 * 24 2 1 26 26 C 1.54481 * 110.37213 * 64.99855 * 24 2 1 27 27 C 1.54506 * 104.06466 * 217.19278 * 26 24 2 28 28 C 1.54480 * 104.06404 * 359.97438 * 27 26 24 29 29 O 1.44422 * 110.37365 * 309.61805 * 24 2 1 30 30 H 1.09001 * 109.46820 * 304.64698 * 1 2 3 31 31 H 1.09003 * 109.47079 * 64.64906 * 1 2 3 32 32 H 1.09003 * 109.46834 * 184.65372 * 1 2 3 33 33 H 1.09007 * 109.58728 * 113.84111 * 7 6 4 34 34 H 1.08997 * 109.70426 * 353.48735 * 7 6 4 35 35 H 1.09001 * 109.49840 * 65.32026 * 8 7 6 36 36 H 1.09001 * 109.49721 * 185.41458 * 8 7 6 37 37 H 1.09002 * 109.46323 * 301.34507 * 9 8 7 38 38 H 0.97001 * 119.99838 * 180.02562 * 14 13 11 39 39 H 1.08995 * 109.46974 * 204.19783 * 19 10 9 40 40 H 1.08998 * 109.47201 * 324.19803 * 19 10 9 41 41 H 1.09002 * 109.47136 * 184.99909 * 20 19 10 42 42 H 1.08996 * 109.47517 * 304.99963 * 20 19 10 43 43 H 0.96701 * 114.00352 * 179.97438 * 21 20 19 44 44 H 1.08995 * 109.50270 * 178.68379 * 22 9 8 45 45 H 1.09000 * 109.49780 * 58.58319 * 22 9 8 46 46 H 1.09001 * 109.58264 * 246.15508 * 23 6 4 47 47 H 1.08992 * 109.58894 * 6.58158 * 23 6 4 48 48 H 1.09005 * 110.51138 * 335.83854 * 26 24 2 49 49 H 1.09000 * 110.51296 * 98.41036 * 26 24 2 50 50 H 1.08996 * 110.51531 * 118.64239 * 27 26 24 51 51 H 1.08998 * 110.51365 * 241.22128 * 27 26 24 52 52 H 1.08998 * 110.37619 * 142.80747 * 28 27 26 53 53 H 1.08996 * 110.37867 * 265.04216 * 28 27 26 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 1.8934 1.0276 0.0000 4 6 2.0324 -0.7103 1.2304 5 8 2.3449 -1.8807 1.1700 6 7 2.1344 -0.0451 2.3982 7 6 2.5123 -0.7499 3.6307 8 6 1.4577 -0.4650 4.7047 9 6 1.2991 1.0482 4.8694 10 7 0.3152 1.3244 5.9192 11 6 -0.9697 0.8688 5.7902 12 1 -1.4889 0.9764 4.8492 13 6 -1.6051 0.2692 6.8688 14 7 -0.9932 0.1886 8.0314 15 14 -3.3285 -0.4237 6.6704 16 1 -3.3203 -1.4796 5.6264 17 1 -3.7791 -1.0065 7.9598 18 1 -4.2558 0.6638 6.2673 19 6 0.7060 2.0878 7.1069 20 6 0.6121 3.5846 6.8047 21 8 -0.7512 3.9367 6.5607 22 6 0.8221 1.6594 3.5501 23 6 1.8694 1.3986 2.4629 24 6 2.0400 -0.7213 -1.2492 25 1 3.1222 -0.8425 -1.2012 26 6 1.6422 0.0598 -2.5212 27 6 1.3101 -1.0434 -3.5508 28 6 1.5471 -2.3605 -2.7792 29 8 1.3936 -2.0054 -1.3874 30 1 -0.3633 0.5843 0.8455 31 1 -0.3633 0.4400 -0.9287 32 1 -0.3633 -1.0243 0.0834 33 1 3.4854 -0.3953 3.9708 34 1 2.5602 -1.8222 3.4409 35 1 0.5048 -0.9001 4.4034 36 1 1.7750 -0.9027 5.6512 37 1 2.2581 1.4859 5.1466 38 1 -1.4371 -0.2308 8.7851 39 1 0.0389 1.8413 7.9329 40 1 1.7307 1.8358 7.3799 41 1 0.9868 4.1516 7.6569 42 1 1.2104 3.8156 5.9233 43 1 -0.8860 4.8735 6.3621 44 1 0.6869 2.7338 3.6746 45 1 -0.1248 1.2044 3.2596 46 1 2.7900 1.9284 2.7078 47 1 1.4913 1.7442 1.5008 48 1 0.7665 0.6802 -2.3303 49 1 2.4741 0.6720 -2.8693 50 1 0.2702 -0.9685 -3.8688 51 1 1.9771 -0.9770 -4.4103 52 1 0.8049 -3.1061 -3.0642 53 1 2.5528 -2.7357 -2.9686 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 ZINC001098473842.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 06:11:39 Heat of formation + Delta-G solvation = -107.717463 kcal Electronic energy + Delta-G solvation = -32118.615328 eV Core-core repulsion = 27990.982090 eV Total energy + Delta-G solvation = -4127.633238 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.43184 -39.12870 -37.41757 -36.05341 -34.56715 -33.89034 -32.09104 -31.85194 -30.55808 -30.21067 -28.09891 -27.60901 -25.40430 -24.47188 -23.25810 -22.83111 -21.95436 -21.06681 -20.36633 -19.67489 -18.46813 -17.16137 -16.65158 -16.51621 -16.16895 -16.05102 -15.45720 -15.17687 -14.84466 -14.61707 -14.37737 -14.02005 -13.81644 -13.67345 -13.45381 -13.34848 -12.90650 -12.85250 -12.49139 -12.25742 -12.02791 -11.96607 -11.88503 -11.82474 -11.58248 -11.38313 -11.16718 -11.15471 -11.07119 -10.81651 -10.73021 -10.72351 -10.65022 -10.46041 -10.02644 -9.87032 -9.76200 -9.73998 -9.48709 -9.29090 -9.02391 -8.34776 -8.26073 -6.36525 -5.62875 -3.34870 2.89059 3.26881 3.45625 3.49023 3.51488 3.80957 4.35472 4.44460 4.55962 4.70192 4.73407 4.84922 4.97167 5.09069 5.16302 5.20174 5.26260 5.35544 5.38987 5.48207 5.51531 5.53554 5.54930 5.58000 5.61483 5.70392 5.77167 5.79454 5.85832 5.91067 5.98561 6.02924 6.08908 6.14481 6.20803 6.30116 6.34379 6.46206 6.56326 6.68567 6.77151 6.82352 6.89236 6.94142 7.17973 7.26973 7.73210 7.83077 8.01053 8.49123 8.51821 8.77118 9.34462 9.91440 10.50130 11.34573 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014890 B = 0.003064 C = 0.002893 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1879.990621 B = 9136.986918 C = 9677.369370 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C -0.106 4.106 3 H 0.101 0.899 4 C 0.517 3.483 5 O -0.533 6.533 6 N -0.606 5.606 7 C 0.113 3.887 8 C -0.133 4.133 9 C 0.179 3.821 10 N -0.573 5.573 11 C -0.231 4.231 12 H 0.054 0.946 13 C 0.019 3.981 14 N -0.900 5.900 15 Si 0.896 3.104 16 H -0.283 1.283 17 H -0.292 1.292 18 H -0.283 1.283 19 C 0.134 3.866 20 C 0.059 3.941 21 O -0.543 6.543 22 C -0.140 4.140 23 C 0.106 3.894 24 C 0.096 3.904 25 H 0.068 0.932 26 C -0.155 4.155 27 C -0.154 4.154 28 C 0.041 3.959 29 O -0.345 6.345 30 H 0.065 0.935 31 H 0.065 0.935 32 H 0.070 0.930 33 H 0.057 0.943 34 H 0.083 0.917 35 H 0.070 0.930 36 H 0.069 0.931 37 H 0.045 0.955 38 H 0.253 0.747 39 H 0.123 0.877 40 H 0.030 0.970 41 H 0.017 0.983 42 H 0.017 0.983 43 H 0.347 0.653 44 H 0.065 0.935 45 H 0.069 0.931 46 H 0.062 0.938 47 H 0.076 0.924 48 H 0.081 0.919 49 H 0.076 0.924 50 H 0.074 0.926 51 H 0.073 0.927 52 H 0.088 0.912 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.928 4.813 -17.951 20.206 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 -0.195 4.195 2 C -0.127 4.127 3 H 0.119 0.881 4 C 0.304 3.696 5 O -0.409 6.409 6 N -0.339 5.339 7 C -0.010 4.010 8 C -0.173 4.173 9 C 0.072 3.928 10 N -0.292 5.292 11 C -0.361 4.361 12 H 0.071 0.929 13 C -0.179 4.179 14 N -0.544 5.544 15 Si 0.726 3.274 16 H -0.209 1.209 17 H -0.217 1.217 18 H -0.209 1.209 19 C 0.008 3.992 20 C -0.021 4.021 21 O -0.344 6.344 22 C -0.180 4.180 23 C -0.017 4.017 24 C 0.037 3.963 25 H 0.086 0.914 26 C -0.192 4.192 27 C -0.192 4.192 28 C -0.037 4.037 29 O -0.264 6.264 30 H 0.084 0.916 31 H 0.084 0.916 32 H 0.089 0.911 33 H 0.075 0.925 34 H 0.101 0.899 35 H 0.089 0.911 36 H 0.088 0.912 37 H 0.063 0.937 38 H 0.064 0.936 39 H 0.140 0.860 40 H 0.049 0.951 41 H 0.035 0.965 42 H 0.036 0.964 43 H 0.189 0.811 44 H 0.084 0.916 45 H 0.088 0.912 46 H 0.080 0.920 47 H 0.095 0.905 48 H 0.100 0.900 49 H 0.094 0.906 50 H 0.093 0.907 51 H 0.092 0.908 52 H 0.107 0.893 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges 7.843 3.310 -17.486 19.448 hybrid contribution -0.671 0.601 -0.294 0.948 sum 7.172 3.912 -17.780 19.567 Atomic orbital electron populations 1.21677 0.91726 1.03836 1.02304 1.21435 0.99046 0.99798 0.92429 0.88112 1.20394 0.77784 0.87154 0.84257 1.90701 1.49121 1.16241 1.84852 1.48149 1.68275 1.09289 1.08232 1.21703 0.97703 0.97807 0.83738 1.22293 0.98582 0.99474 0.96980 1.20294 0.91785 0.92112 0.88654 1.43634 1.06823 1.60122 1.18641 1.18713 0.89216 1.30584 0.97604 0.92892 1.25372 0.98250 0.97690 0.96633 1.69612 1.37557 1.46301 1.00907 0.86487 0.84903 0.79244 0.76806 1.20939 1.21742 1.20942 1.21333 0.98639 0.85032 0.94223 1.23131 0.82321 1.00866 0.95787 1.86867 1.26715 1.27584 1.93260 1.22378 0.98470 1.01146 0.96015 1.21878 0.99272 0.80249 1.00295 1.22696 0.96663 0.83918 0.93017 0.91376 1.23083 1.02576 0.98582 0.95001 1.22922 1.02525 0.95151 0.98596 1.23380 1.01157 0.96739 0.82388 1.89332 1.77198 1.35148 1.24678 0.91643 0.91649 0.91091 0.92455 0.89894 0.91086 0.91202 0.93701 0.93622 0.86014 0.95139 0.96493 0.96434 0.81053 0.91624 0.91210 0.91959 0.90530 0.90016 0.90570 0.90738 0.90808 0.89332 0.92601 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 -0.14 -1.68 8.62 37.16 0.32 -1.36 16 2 C -0.11 -1.29 1.74 -91.78 -0.16 -1.45 16 3 H 0.10 0.96 6.33 -51.93 -0.33 0.63 16 4 C 0.52 8.31 6.81 -10.98 -0.07 8.24 16 5 O -0.53 -10.57 15.01 -10.13 -0.15 -10.72 16 6 N -0.61 -9.36 2.97 -172.77 -0.51 -9.88 16 7 C 0.11 1.89 6.41 -3.71 -0.02 1.86 16 8 C -0.13 -2.60 5.31 -26.61 -0.14 -2.74 16 9 C 0.18 3.47 2.59 -67.89 -0.18 3.30 16 10 N -0.57 -13.44 2.33 -165.62 -0.39 -13.83 16 11 C -0.23 -6.12 7.98 -15.06 -0.12 -6.24 16 12 H 0.05 1.44 6.93 -52.48 -0.36 1.08 16 13 C 0.02 0.53 5.36 -17.43 -0.09 0.43 16 14 N -0.90 -25.63 10.78 55.49 0.60 -25.03 16 15 Si 0.90 22.14 29.55 -169.99 -5.02 17.12 16 16 H -0.28 -6.99 7.11 56.52 0.40 -6.58 16 17 H -0.29 -7.25 7.11 56.52 0.40 -6.85 16 18 H -0.28 -6.99 7.11 56.52 0.40 -6.59 16 19 C 0.13 3.08 5.54 -4.05 -0.02 3.05 16 20 C 0.06 1.15 7.38 37.15 0.27 1.42 16 21 O -0.54 -11.26 13.41 -35.23 -0.47 -11.73 16 22 C -0.14 -2.34 5.29 -26.61 -0.14 -2.48 16 23 C 0.11 1.40 6.19 -3.71 -0.02 1.38 16 24 C 0.10 1.12 2.59 -25.96 -0.07 1.05 16 25 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 26 C -0.15 -1.28 6.46 -25.16 -0.16 -1.44 16 27 C -0.15 -1.19 7.09 -25.16 -0.18 -1.37 16 28 C 0.04 0.41 7.63 37.93 0.29 0.69 16 29 O -0.35 -4.88 9.58 -50.91 -0.49 -5.37 16 30 H 0.06 0.82 7.73 -51.93 -0.40 0.42 16 31 H 0.06 0.64 6.27 -51.93 -0.33 0.31 16 32 H 0.07 1.04 7.68 -51.93 -0.40 0.64 16 33 H 0.06 0.86 8.14 -51.92 -0.42 0.44 16 34 H 0.08 1.49 7.05 -51.93 -0.37 1.12 16 35 H 0.07 1.59 7.71 -51.93 -0.40 1.19 16 36 H 0.07 1.46 8.14 -51.93 -0.42 1.03 16 37 H 0.04 0.82 7.87 -51.93 -0.41 0.41 16 38 H 0.25 7.08 8.31 -40.82 -0.34 6.75 16 39 H 0.12 3.29 5.24 -51.93 -0.27 3.01 16 40 H 0.03 0.66 8.04 -51.93 -0.42 0.24 16 41 H 0.02 0.29 8.14 -51.93 -0.42 -0.13 16 42 H 0.02 0.31 8.14 -51.93 -0.42 -0.11 16 43 H 0.35 5.19 9.12 45.56 0.42 5.61 16 44 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 45 H 0.07 1.32 7.13 -51.93 -0.37 0.95 16 46 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 47 H 0.08 0.83 5.11 -51.93 -0.27 0.56 16 48 H 0.08 0.63 6.08 -51.93 -0.32 0.32 16 49 H 0.08 0.51 8.14 -51.93 -0.42 0.08 16 50 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 51 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 52 H 0.09 0.78 8.14 -51.93 -0.42 0.36 16 53 H 0.06 0.52 8.14 -51.93 -0.42 0.09 16 LS Contribution 402.26 15.07 6.06 6.06 Total: -1.00 -33.21 402.26 -9.30 -42.51 By element: Atomic # 1 Polarization: 14.94 SS G_CDS: -8.43 Total: 6.51 kcal Atomic # 6 Polarization: 4.86 SS G_CDS: -0.50 Total: 4.36 kcal Atomic # 7 Polarization: -48.44 SS G_CDS: -0.30 Total: -48.74 kcal Atomic # 8 Polarization: -26.70 SS G_CDS: -1.11 Total: -27.82 kcal Atomic # 14 Polarization: 22.14 SS G_CDS: -5.02 Total: 17.12 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.21 -9.30 -42.51 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. ZINC001098473842.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 -65.210 kcal (2) G-P(sol) polarization free energy of solvation -33.205 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -98.416 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.302 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.507 kcal (6) G-S(sol) free energy of system = (1) + (5) -107.717 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds