Wall clock time and date at job start Tue Mar 31 2020 20:23:24 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 1.52999 * 109.47427 * 2 1 4 4 H 1.09001 * 109.47544 * 181.90892 * 3 2 1 5 5 C 1.50693 * 109.47051 * 61.90530 * 3 2 1 6 6 H 1.08010 * 120.00258 * 240.00127 * 5 3 2 7 7 C 1.37884 * 119.99903 * 60.00334 * 5 3 2 8 8 N 1.31500 * 119.99706 * 359.97438 * 7 5 3 9 9 Si 1.86799 * 119.99676 * 179.97438 * 7 5 3 10 10 H 1.48496 * 109.47141 * 60.00350 * 9 7 5 11 11 H 1.48503 * 109.46874 * 179.97438 * 9 7 5 12 12 H 1.48494 * 109.47589 * 299.99721 * 9 7 5 13 13 N 1.46903 * 109.46946 * 301.91059 * 3 2 1 14 14 C 1.46854 * 110.99929 * 181.24133 * 13 3 2 15 15 C 1.53066 * 109.50076 * 185.90863 * 14 13 3 16 16 C 1.52973 * 109.28420 * 300.97774 * 15 14 13 17 17 C 1.52987 * 109.39596 * 57.46270 * 16 15 14 18 18 C 1.46844 * 110.99892 * 305.49477 * 13 3 2 19 19 C 1.52881 * 109.72682 * 177.85071 * 16 15 14 20 20 N 1.46117 * 109.85177 * 168.77996 * 19 16 15 21 21 C 1.46501 * 118.74063 * 161.83234 * 20 19 16 22 22 C 1.53008 * 109.46773 * 90.00415 * 21 20 19 23 23 C 1.53001 * 117.49542 * 243.74713 * 22 21 20 24 24 C 1.53002 * 117.49796 * 175.08898 * 22 21 20 25 25 C 1.33872 * 122.51780 * 341.81642 * 20 19 16 26 26 O 1.21283 * 118.80303 * 182.00965 * 25 20 19 27 27 C 1.50336 * 122.38405 * 1.97998 * 25 20 19 28 28 O 1.42877 * 109.42356 * 297.45466 * 16 15 14 29 29 H 1.08995 * 109.47582 * 184.74675 * 1 2 3 30 30 H 1.08999 * 109.47108 * 304.75495 * 1 2 3 31 31 H 1.09002 * 109.47108 * 64.75211 * 1 2 3 32 32 H 1.08999 * 109.47008 * 239.99864 * 2 1 3 33 33 H 1.08999 * 109.47050 * 120.00171 * 2 1 3 34 34 H 0.97006 * 120.00073 * 180.02562 * 8 7 5 35 35 H 1.08997 * 109.46742 * 65.89784 * 14 13 3 36 36 H 1.08995 * 109.46417 * 305.91627 * 14 13 3 37 37 H 1.09006 * 109.49899 * 181.03823 * 15 14 13 38 38 H 1.09000 * 109.50541 * 60.92819 * 15 14 13 39 39 H 1.09005 * 109.50239 * 62.48681 * 17 16 15 40 40 H 1.09001 * 109.50779 * 182.60098 * 17 16 15 41 41 H 1.08997 * 109.46674 * 294.10606 * 18 13 3 42 42 H 1.08999 * 109.46495 * 54.08266 * 18 13 3 43 43 H 1.08996 * 109.39619 * 48.68870 * 19 16 15 44 44 H 1.08999 * 109.39292 * 288.87454 * 19 16 15 45 45 H 1.08997 * 109.47034 * 209.99610 * 21 20 19 46 46 H 1.08999 * 109.47170 * 330.00516 * 21 20 19 47 47 H 1.08998 * 115.55035 * 29.41302 * 22 21 20 48 48 H 1.09008 * 117.49825 * 359.97438 * 23 22 21 49 49 H 1.09001 * 117.50033 * 145.02012 * 23 22 21 50 50 H 1.08998 * 117.49505 * 214.97586 * 24 22 21 51 51 H 1.08997 * 117.49759 * 359.97438 * 24 22 21 52 52 H 1.09008 * 109.40978 * 104.13126 * 27 25 20 53 53 H 1.08997 * 109.41441 * 223.99092 * 27 25 20 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 2.0401 1.4425 0.0000 4 1 3.1295 1.4427 -0.0342 5 6 1.5767 2.1391 1.2533 6 1 0.9531 3.0182 1.1836 7 6 1.9489 1.6542 2.4893 8 7 2.7077 0.5836 2.5743 9 14 1.3751 2.5182 4.0429 10 1 -0.1091 2.5185 4.0897 11 1 1.9072 1.8044 5.2315 12 1 1.8706 3.9180 4.0427 13 7 1.5131 2.1482 -1.1757 14 6 2.0066 3.5304 -1.2248 15 6 1.3244 4.2760 -2.3744 16 6 1.6240 3.5572 -3.6911 17 6 1.1479 2.1063 -3.5976 18 6 1.8352 1.4243 -2.4121 19 6 0.9033 4.2630 -4.8399 20 7 1.3910 3.7530 -6.1194 21 6 0.5835 3.9774 -7.3210 22 6 0.9942 5.2999 -7.9717 23 6 -0.0553 6.4114 -8.0361 24 6 0.3444 5.6610 -9.3090 25 6 2.5475 3.0889 -6.2357 26 8 2.9056 2.7274 -7.3367 27 6 3.4187 2.7754 -5.0513 28 8 3.0311 3.5835 -3.9372 29 1 -0.3634 -1.0241 0.0850 30 1 -0.3633 0.5858 0.8443 31 1 -0.3633 0.4383 -0.9295 32 1 1.8933 -0.5139 -0.8900 33 1 1.8933 -0.5139 0.8900 34 1 2.9693 0.2422 3.4438 35 1 3.0848 3.5257 -1.3840 36 1 1.7808 4.0303 -0.2829 37 1 1.7042 5.2966 -2.4224 38 1 0.2474 4.2955 -2.2072 39 1 0.0677 2.0863 -3.4527 40 1 1.4020 1.5798 -4.5176 41 1 2.9143 1.4297 -2.5656 42 1 1.4849 0.3952 -2.3322 43 1 1.0924 5.3348 -4.7817 44 1 -0.1683 4.0797 -4.7619 45 1 0.7447 3.1608 -8.0248 46 1 -0.4708 4.0189 -7.0478 47 1 2.0322 5.5960 -7.8203 48 1 -1.0384 6.2002 -7.6152 49 1 0.2923 7.4387 -7.9274 50 1 0.9549 6.1950 -10.0372 51 1 -0.3753 4.9563 -9.7254 52 1 3.3103 1.7226 -4.7904 53 1 4.4592 2.9813 -5.3023 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 ZINC001255170488.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 20:23:24 Heat of formation + Delta-G solvation = -40.370596 kcal Electronic energy + Delta-G solvation = -31457.437978 eV Core-core repulsion = 27523.181170 eV Total energy + Delta-G solvation = -3934.256807 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.28649 -39.03567 -37.66974 -37.00483 -35.14106 -34.10318 -31.99475 -30.83832 -30.44235 -28.79652 -27.73349 -26.19722 -25.52331 -23.65254 -22.80910 -22.62313 -22.25640 -21.11777 -19.99052 -18.97476 -18.64343 -17.34907 -17.08047 -16.28442 -16.04445 -15.87167 -15.50598 -15.13204 -14.98176 -14.34535 -14.22019 -14.05506 -13.82237 -13.61221 -13.40277 -13.13848 -13.02233 -12.80800 -12.34974 -12.34038 -12.10680 -11.90228 -11.84115 -11.72059 -11.51672 -11.34421 -11.03182 -10.88064 -10.82929 -10.79285 -10.70917 -10.52649 -10.29019 -10.15056 -9.92331 -9.86975 -9.69032 -9.42947 -9.27538 -8.92965 -8.79274 -8.39126 -7.13655 -6.00267 -4.03935 2.37476 2.63806 3.31270 3.36461 3.38486 3.49680 3.64593 4.15292 4.39878 4.42728 4.55671 4.60807 4.68063 4.73144 4.84370 4.90985 5.00603 5.12012 5.19890 5.30991 5.31484 5.33503 5.36913 5.44712 5.49212 5.57060 5.60792 5.73487 5.78666 5.81487 5.85833 5.95833 6.00344 6.09181 6.21912 6.29170 6.39391 6.49707 6.56011 6.64064 6.76005 6.79187 6.92015 7.09279 7.21496 7.31112 7.42219 7.65209 7.74796 7.83245 7.90319 8.19910 8.34279 8.60203 9.01102 9.59987 11.06049 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.022444 B = 0.002800 C = 0.002692 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1247.236843 B = 9996.058873 C =10397.534772 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.120 4.120 2 C -0.114 4.114 3 C 0.219 3.781 4 H -0.003 1.003 5 C -0.496 4.496 6 H 0.061 0.939 7 C 0.060 3.940 8 N -0.893 5.893 9 Si 0.893 3.107 10 H -0.277 1.277 11 H -0.289 1.289 12 H -0.278 1.278 13 N -0.527 5.527 14 C 0.067 3.933 15 C -0.097 4.097 16 C 0.103 3.897 17 C -0.138 4.138 18 C 0.055 3.945 19 C 0.095 3.905 20 N -0.598 5.598 21 C 0.141 3.859 22 C -0.164 4.164 23 C -0.180 4.180 24 C -0.174 4.174 25 C 0.491 3.509 26 O -0.546 6.546 27 C 0.046 3.954 28 O -0.353 6.353 29 H 0.014 0.986 30 H 0.060 0.940 31 H 0.038 0.962 32 H 0.013 0.987 33 H 0.092 0.908 34 H 0.260 0.740 35 H 0.029 0.971 36 H 0.087 0.913 37 H 0.069 0.931 38 H 0.085 0.915 39 H 0.082 0.918 40 H 0.057 0.943 41 H 0.024 0.976 42 H 0.077 0.923 43 H 0.075 0.925 44 H 0.086 0.914 45 H 0.089 0.911 46 H 0.079 0.921 47 H 0.104 0.896 48 H 0.095 0.905 49 H 0.093 0.907 50 H 0.094 0.906 51 H 0.095 0.905 52 H 0.092 0.908 53 H 0.126 0.874 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.038 7.839 -17.697 20.000 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 -0.178 4.178 2 C -0.152 4.152 3 C 0.113 3.887 4 H 0.015 0.985 5 C -0.534 4.534 6 H 0.080 0.920 7 C -0.141 4.141 8 N -0.532 5.532 9 Si 0.721 3.279 10 H -0.203 1.203 11 H -0.215 1.215 12 H -0.204 1.204 13 N -0.253 5.253 14 C -0.061 4.061 15 C -0.135 4.135 16 C 0.064 3.936 17 C -0.176 4.176 18 C -0.074 4.074 19 C -0.028 4.028 20 N -0.331 5.331 21 C 0.018 3.982 22 C -0.184 4.184 23 C -0.217 4.217 24 C -0.212 4.212 25 C 0.280 3.720 26 O -0.424 6.424 27 C -0.033 4.033 28 O -0.272 6.272 29 H 0.034 0.966 30 H 0.079 0.921 31 H 0.058 0.942 32 H 0.032 0.968 33 H 0.110 0.890 34 H 0.070 0.930 35 H 0.047 0.953 36 H 0.106 0.894 37 H 0.088 0.912 38 H 0.103 0.897 39 H 0.101 0.899 40 H 0.076 0.924 41 H 0.042 0.958 42 H 0.095 0.905 43 H 0.093 0.907 44 H 0.104 0.896 45 H 0.107 0.893 46 H 0.097 0.903 47 H 0.122 0.878 48 H 0.113 0.887 49 H 0.111 0.889 50 H 0.112 0.888 51 H 0.114 0.886 52 H 0.110 0.890 53 H 0.144 0.856 Dipole moment (debyes) X Y Z Total from point charges -5.130 7.641 -17.931 20.155 hybrid contribution 0.445 0.292 0.605 0.806 sum -4.684 7.934 -17.326 19.624 Atomic orbital electron populations 1.21470 0.97295 0.97605 1.01401 1.21610 0.95118 0.98350 1.00119 1.19219 0.92508 0.90601 0.86326 0.98547 1.21003 1.30942 1.11880 0.89597 0.92037 1.24897 0.95220 0.95085 0.98914 1.69858 1.36342 1.22563 1.24411 0.86647 0.79030 0.79595 0.82636 1.20289 1.21492 1.20395 1.62069 1.59960 1.01283 1.01973 1.21853 0.96262 0.90554 0.97466 1.21608 1.02030 0.98382 0.91479 1.21877 0.80938 0.96176 0.94655 1.22204 1.02391 0.94328 0.98688 1.21995 0.96901 0.98340 0.90154 1.22240 0.99607 0.99139 0.81835 1.47476 1.21327 1.55499 1.08769 1.21094 0.94103 0.96138 0.86835 1.22692 0.98596 0.96425 1.00637 1.23082 0.99524 0.97147 1.01927 1.22929 1.03669 1.03617 0.90979 1.21102 0.81808 0.77456 0.91671 1.90719 1.71530 1.53007 1.27191 1.22773 0.99260 0.97831 0.83462 1.88211 1.23119 1.67949 1.47894 0.96642 0.92122 0.94244 0.96846 0.88954 0.92973 0.95294 0.89442 0.91228 0.89662 0.89924 0.92406 0.95782 0.90490 0.90707 0.89619 0.89253 0.90252 0.87771 0.88653 0.88872 0.88765 0.88640 0.89000 0.85622 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 -0.12 -2.53 9.43 37.16 0.35 -2.18 16 2 C -0.11 -2.61 4.95 -26.73 -0.13 -2.74 16 3 C 0.22 5.19 1.76 -68.87 -0.12 5.06 16 4 H 0.00 -0.08 8.14 -51.93 -0.42 -0.51 16 5 C -0.50 -12.68 6.61 -34.44 -0.23 -12.91 16 6 H 0.06 1.57 6.79 -52.48 -0.36 1.21 16 7 C 0.06 1.58 5.30 -17.82 -0.09 1.49 16 8 N -0.89 -24.64 11.30 55.43 0.63 -24.01 16 9 Si 0.89 20.64 29.54 -169.99 -5.02 15.62 16 10 H -0.28 -6.37 7.11 56.52 0.40 -5.96 16 11 H -0.29 -6.73 7.11 56.52 0.40 -6.33 16 12 H -0.28 -6.38 7.11 56.52 0.40 -5.97 16 13 N -0.53 -10.27 3.79 -228.05 -0.86 -11.13 16 14 C 0.07 1.20 5.13 -3.82 -0.02 1.18 16 15 C -0.10 -1.31 5.09 -26.71 -0.14 -1.44 16 16 C 0.10 1.30 0.68 -90.70 -0.06 1.24 16 17 C -0.14 -1.86 4.28 -26.71 -0.11 -1.97 16 18 C 0.05 0.93 4.63 -3.82 -0.02 0.91 16 19 C 0.09 0.97 5.37 -4.31 -0.02 0.95 16 20 N -0.60 -6.74 2.75 -174.48 -0.48 -7.22 16 21 C 0.14 1.37 5.57 -4.04 -0.02 1.35 16 22 C -0.16 -1.52 6.00 -90.61 -0.54 -2.06 16 23 C -0.18 -1.33 10.18 -26.69 -0.27 -1.60 16 24 C -0.17 -1.33 10.25 -26.69 -0.27 -1.61 16 25 C 0.49 6.59 6.82 -11.57 -0.08 6.51 16 26 O -0.55 -8.81 16.39 5.55 0.09 -8.72 16 27 C 0.05 0.58 6.23 35.83 0.22 0.81 16 28 O -0.35 -4.95 9.24 -35.23 -0.33 -5.28 16 29 H 0.01 0.28 8.14 -51.93 -0.42 -0.14 16 30 H 0.06 1.39 7.12 -51.93 -0.37 1.02 16 31 H 0.04 0.77 7.27 -51.93 -0.38 0.39 16 32 H 0.01 0.28 6.32 -51.93 -0.33 -0.05 16 33 H 0.09 2.40 6.02 -51.93 -0.31 2.09 16 34 H 0.26 6.94 8.31 -40.82 -0.34 6.60 16 35 H 0.03 0.56 7.77 -51.93 -0.40 0.16 16 36 H 0.09 1.71 6.38 -51.93 -0.33 1.38 16 37 H 0.07 0.85 8.14 -51.93 -0.42 0.42 16 38 H 0.08 1.08 8.14 -51.93 -0.42 0.66 16 39 H 0.08 1.08 8.14 -51.93 -0.42 0.66 16 40 H 0.06 0.74 5.87 -51.93 -0.30 0.44 16 41 H 0.02 0.43 7.28 -51.93 -0.38 0.05 16 42 H 0.08 1.35 5.63 -51.93 -0.29 1.06 16 43 H 0.07 0.73 8.10 -51.93 -0.42 0.31 16 44 H 0.09 0.74 7.96 -51.93 -0.41 0.33 16 45 H 0.09 0.98 7.29 -51.93 -0.38 0.60 16 46 H 0.08 0.61 7.67 -51.93 -0.40 0.21 16 47 H 0.10 1.16 8.14 -51.93 -0.42 0.73 16 48 H 0.10 0.62 8.03 -51.92 -0.42 0.20 16 49 H 0.09 0.65 8.14 -51.93 -0.42 0.23 16 50 H 0.09 0.68 8.14 -51.93 -0.42 0.26 16 51 H 0.10 0.65 8.14 -51.93 -0.42 0.23 16 52 H 0.09 1.14 6.37 -51.92 -0.33 0.81 16 53 H 0.13 1.43 8.14 -51.93 -0.42 1.00 16 LS Contribution 394.22 15.07 5.94 5.94 Total: -1.00 -28.94 394.22 -10.77 -39.71 By element: Atomic # 1 Polarization: 11.27 SS G_CDS: -9.18 Total: 2.10 kcal Atomic # 6 Polarization: -5.44 SS G_CDS: -1.57 Total: -7.01 kcal Atomic # 7 Polarization: -41.65 SS G_CDS: -0.72 Total: -42.36 kcal Atomic # 8 Polarization: -13.76 SS G_CDS: -0.23 Total: -14.00 kcal Atomic # 14 Polarization: 20.64 SS G_CDS: -5.02 Total: 15.62 kcal Total LS contribution 5.94 Total: 5.94 kcal Total: -28.94 -10.77 -39.71 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. ZINC001255170488.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 -0.658 kcal (2) G-P(sol) polarization free energy of solvation -28.941 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -29.599 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.772 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.713 kcal (6) G-S(sol) free energy of system = (1) + (5) -40.371 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds