Wall clock time and date at job start Tue Mar 31 2020 21:39:02 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 1.53002 * 1 3 3 H 1.08998 * 109.51360 * 2 1 4 4 C 1.53297 * 109.50932 * 239.89614 * 2 1 3 5 5 N 1.47154 * 108.37388 * 187.72447 * 4 2 1 6 6 C 1.34771 * 120.98284 * 230.61984 * 5 4 2 7 7 O 1.21293 * 120.00160 * 179.97438 * 6 5 4 8 8 C 1.50704 * 120.00410 * 359.97392 * 6 5 4 9 9 H 1.08993 * 115.54887 * 34.41384 * 8 6 5 10 10 C 1.53003 * 117.49713 * 248.74605 * 8 6 5 11 11 C 1.53000 * 117.50000 * 180.08854 * 8 6 5 12 12 C 1.52998 * 117.49781 * 214.98087 * 11 8 6 13 13 C 1.53002 * 117.49985 * 359.97381 * 11 8 6 14 14 C 1.47150 * 118.02461 * 50.59246 * 5 4 2 15 15 C 1.53248 * 108.41386 * 309.52768 * 14 5 4 16 16 C 1.52994 * 109.36443 * 172.07778 * 15 14 5 17 17 C 1.53191 * 109.34548 * 181.17344 * 16 15 14 18 18 N 1.46932 * 108.76540 * 305.40610 * 17 16 15 19 19 C 1.36936 * 120.63997 * 233.67886 * 18 17 16 20 20 H 1.08005 * 119.99455 * 152.66274 * 19 18 17 21 21 C 1.38804 * 120.00768 * 332.94077 * 19 18 17 22 22 N 1.31615 * 120.00542 * 159.00078 * 21 19 18 23 23 Si 1.86807 * 119.99591 * 339.00757 * 21 19 18 24 24 H 1.48496 * 109.47191 * 93.12971 * 23 21 19 25 25 H 1.48495 * 109.46837 * 213.12872 * 23 21 19 26 26 H 1.48497 * 109.47165 * 333.12748 * 23 21 19 27 27 C 1.46926 * 118.71261 * 53.95776 * 18 17 16 28 28 C 1.52988 * 109.40381 * 292.16717 * 15 14 5 29 29 O 1.42901 * 109.32510 * 52.14691 * 15 14 5 30 30 H 1.08991 * 109.47438 * 180.10768 * 1 2 3 31 31 H 1.09005 * 109.46749 * 300.10048 * 1 2 3 32 32 H 1.08995 * 109.47472 * 60.10067 * 1 2 3 33 33 H 1.09001 * 109.68735 * 68.00060 * 4 2 1 34 34 H 1.09003 * 109.68717 * 307.44242 * 4 2 1 35 35 H 1.09001 * 117.50275 * 0.02562 * 10 8 6 36 36 H 1.08998 * 117.49235 * 145.01721 * 10 8 6 37 37 H 1.08996 * 109.47426 * 59.99688 * 12 11 8 38 38 H 1.09002 * 109.46991 * 180.02562 * 12 11 8 39 39 H 1.09004 * 109.47127 * 299.99685 * 12 11 8 40 40 H 1.08999 * 109.47016 * 59.99972 * 13 11 8 41 41 H 1.08996 * 109.47486 * 179.97438 * 13 11 8 42 42 H 1.09003 * 109.47556 * 300.00529 * 13 11 8 43 43 H 1.09006 * 109.66880 * 189.79888 * 14 5 4 44 44 H 1.08991 * 109.70817 * 69.28201 * 14 5 4 45 45 H 1.08993 * 109.49520 * 61.20644 * 16 15 14 46 46 H 1.09007 * 109.51087 * 301.14248 * 16 15 14 47 47 H 1.09009 * 109.58551 * 185.62611 * 17 16 15 48 48 H 1.09000 * 109.71053 * 65.26772 * 17 16 15 49 49 H 0.97001 * 120.00632 * 179.97438 * 22 21 19 50 50 H 1.09002 * 109.58985 * 65.84505 * 27 18 17 51 51 H 1.09005 * 109.58606 * 186.26735 * 27 18 17 52 52 H 1.09007 * 109.48664 * 298.82723 * 28 15 14 53 53 H 1.08993 * 109.48926 * 58.87452 * 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 6 1.5300 0.0000 0.0000 3 1 1.8941 1.0274 0.0000 4 6 2.0420 -0.7247 -1.2501 5 7 3.5013 -0.8746 -1.1343 6 6 4.3189 -0.5000 -2.1380 7 8 5.5193 -0.6311 -2.0235 8 6 3.7419 0.0819 -3.4028 9 1 2.8491 0.6936 -3.2742 10 6 3.8457 -0.7573 -4.6780 11 6 4.7222 0.4858 -4.5060 12 6 4.3737 1.7173 -5.3444 13 6 6.2132 0.2687 -4.2404 14 6 4.0412 -1.4451 0.1100 15 6 3.4306 -0.6883 1.2944 16 6 3.8206 -1.3871 2.5983 17 6 3.1859 -0.6472 3.7801 18 7 3.5732 0.7686 3.7144 19 6 4.1562 1.3833 4.7902 20 1 4.8191 2.2225 4.6388 21 6 3.8999 0.9244 6.0749 22 7 4.7334 1.2073 7.0534 23 14 2.3718 -0.0948 6.4150 24 1 2.7046 -1.5378 6.3049 25 1 1.8775 0.1961 7.7847 26 1 1.3184 0.2471 5.4257 27 6 3.3172 1.5137 2.4742 28 6 3.9556 0.7487 1.3044 29 8 2.0075 -0.6768 1.1653 30 1 -0.3634 -1.0276 0.0019 31 1 -0.3633 0.5154 0.8891 32 1 -0.3634 0.5122 -0.8908 33 1 1.8022 -0.1395 -2.1379 34 1 1.5765 -1.7078 -1.3211 35 1 4.3309 -1.7304 -4.6020 36 1 3.0212 -0.6973 -5.3883 37 1 4.2960 2.5890 -4.6948 38 1 5.1548 1.8848 -6.0860 39 1 3.4219 1.5551 -5.8502 40 1 6.4002 -0.7903 -4.0626 41 1 6.7882 0.5985 -5.1057 42 1 6.5136 0.8427 -3.3638 43 1 5.1256 -1.3351 0.1238 44 1 3.7787 -2.5010 0.1744 45 1 4.9053 -1.3796 2.7047 46 1 3.4640 -2.4170 2.5802 47 1 3.5408 -1.0801 4.7154 48 1 2.1005 -0.7320 3.7268 49 1 4.5541 0.8869 7.9513 50 1 2.2424 1.6001 2.3150 51 1 3.7589 2.5076 2.5472 52 1 5.0394 0.7391 1.4209 53 1 3.6950 1.2376 0.3658 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 ZINC001098589717.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 21:39:02 Heat of formation + Delta-G solvation = -21.762167 kcal Electronic energy + Delta-G solvation = -31882.049010 eV Core-core repulsion = 27948.599124 eV Total energy + Delta-G solvation = -3933.449885 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.38 seconds Orbital eigenvalues (eV) -40.99293 -39.62805 -37.33597 -36.63028 -34.69432 -33.62883 -31.73135 -30.42980 -30.35845 -29.70084 -27.66536 -27.58127 -26.41642 -24.64251 -23.40103 -22.91162 -21.78138 -20.95753 -19.92881 -19.19407 -18.66759 -17.55489 -16.99852 -16.15319 -15.92290 -15.51071 -15.14733 -14.96262 -14.61839 -14.39727 -14.30948 -13.97781 -13.77008 -13.67972 -13.57579 -13.20875 -13.08208 -12.82543 -12.49391 -12.40142 -12.31982 -12.27748 -12.09676 -11.94846 -11.82534 -11.72660 -11.61049 -11.46260 -11.34843 -10.96114 -10.70341 -10.50057 -10.40675 -10.23875 -10.11940 -10.02162 -9.75535 -9.62328 -9.53914 -9.33709 -8.60572 -8.44105 -6.91506 -5.90949 -3.25934 2.35794 2.74425 3.36434 3.46586 3.52314 3.57842 3.72911 4.17468 4.33662 4.45614 4.56783 4.57884 4.69792 4.81750 4.83421 4.93882 4.96789 5.06242 5.11281 5.21322 5.27535 5.31536 5.35658 5.39933 5.44211 5.47356 5.49974 5.60634 5.65575 5.67557 5.76391 5.77812 5.82090 5.84386 5.88553 5.97638 6.03600 6.08921 6.17390 6.21819 6.24934 6.33181 6.35061 6.43115 6.61274 6.67789 6.75212 6.98129 7.26739 7.44954 8.00745 8.08582 8.37117 8.98976 9.76859 10.16068 11.25113 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019420 B = 0.003299 C = 0.003093 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1441.446692 B = 8486.210468 C = 9049.136807 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.068 3.932 3 H 0.068 0.932 4 C 0.080 3.920 5 N -0.608 5.608 6 C 0.545 3.455 7 O -0.533 6.533 8 C -0.190 4.190 9 H 0.122 0.878 10 C -0.147 4.147 11 C -0.093 4.093 12 C -0.117 4.117 13 C -0.104 4.104 14 C 0.090 3.910 15 C 0.119 3.881 16 C -0.118 4.118 17 C 0.133 3.867 18 N -0.605 5.605 19 C -0.258 4.258 20 H 0.084 0.916 21 C 0.023 3.977 22 N -0.910 5.910 23 Si 0.882 3.118 24 H -0.289 1.289 25 H -0.305 1.305 26 H -0.269 1.269 27 C 0.156 3.844 28 C -0.153 4.153 29 O -0.358 6.358 30 H 0.063 0.937 31 H 0.069 0.931 32 H 0.069 0.931 33 H 0.091 0.909 34 H 0.075 0.925 35 H 0.098 0.902 36 H 0.103 0.897 37 H 0.062 0.938 38 H 0.065 0.935 39 H 0.058 0.942 40 H 0.064 0.936 41 H 0.048 0.952 42 H 0.069 0.931 43 H 0.100 0.900 44 H 0.071 0.929 45 H 0.080 0.920 46 H 0.062 0.938 47 H 0.071 0.929 48 H 0.034 0.966 49 H 0.262 0.738 50 H 0.025 0.975 51 H 0.060 0.940 52 H 0.072 0.928 53 H 0.054 0.946 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.577 -3.904 -25.421 26.547 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 -0.200 4.200 2 C 0.009 3.991 3 H 0.085 0.915 4 C -0.043 4.043 5 N -0.341 5.341 6 C 0.334 3.666 7 O -0.410 6.410 8 C -0.211 4.211 9 H 0.140 0.860 10 C -0.184 4.184 11 C -0.093 4.093 12 C -0.174 4.174 13 C -0.161 4.161 14 C -0.032 4.032 15 C 0.079 3.921 16 C -0.158 4.158 17 C 0.008 3.992 18 N -0.328 5.328 19 C -0.387 4.387 20 H 0.102 0.898 21 C -0.176 4.176 22 N -0.553 5.553 23 Si 0.713 3.287 24 H -0.216 1.216 25 H -0.233 1.233 26 H -0.194 1.194 27 C 0.030 3.970 28 C -0.192 4.192 29 O -0.277 6.277 30 H 0.082 0.918 31 H 0.088 0.912 32 H 0.088 0.912 33 H 0.109 0.891 34 H 0.093 0.907 35 H 0.117 0.883 36 H 0.121 0.879 37 H 0.081 0.919 38 H 0.084 0.916 39 H 0.077 0.923 40 H 0.083 0.917 41 H 0.067 0.933 42 H 0.088 0.912 43 H 0.118 0.882 44 H 0.089 0.911 45 H 0.099 0.901 46 H 0.081 0.919 47 H 0.089 0.911 48 H 0.052 0.948 49 H 0.072 0.928 50 H 0.043 0.957 51 H 0.078 0.922 52 H 0.091 0.909 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -5.994 -4.047 -25.034 26.058 hybrid contribution -0.910 -0.536 0.217 1.078 sum -6.904 -4.583 -24.817 26.164 Atomic orbital electron populations 1.21707 0.92560 1.02976 1.02734 1.22424 0.95229 0.96183 0.85216 0.91452 1.22536 0.80237 1.01879 0.99672 1.48079 1.06746 1.62828 1.16434 1.19646 0.86187 0.77264 0.83517 1.90706 1.14482 1.55068 1.80699 1.22380 1.03238 1.06171 0.89263 0.86025 1.23215 1.02579 0.96084 0.96527 1.21607 0.94032 0.96026 0.97641 1.21403 1.01490 0.95635 0.98854 1.21359 0.90857 1.02983 1.00850 1.22426 1.00953 0.97185 0.82678 1.21723 0.80538 0.95623 0.94251 1.22011 1.01710 0.98411 0.93683 1.21235 0.96950 0.84964 0.96069 1.44340 1.71533 1.04989 1.11954 1.18925 1.20721 1.15359 0.83660 0.89818 1.25264 0.98079 0.98833 0.95423 1.69842 1.35451 1.48601 1.01388 0.86950 0.85980 0.79370 0.76395 1.21639 1.23310 1.19404 1.20882 0.96594 0.94261 0.85261 1.22591 1.01798 0.95414 0.99437 1.88035 1.20970 1.76446 1.42254 0.91777 0.91156 0.91244 0.89114 0.90671 0.88342 0.87904 0.91866 0.91579 0.92334 0.91745 0.93288 0.91234 0.88163 0.91091 0.90119 0.91892 0.91079 0.94791 0.92828 0.95698 0.92152 0.90908 0.92760 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.36 9.57 37.16 0.36 -1.01 16 2 C 0.07 0.81 3.01 -26.58 -0.08 0.73 16 3 H 0.07 0.86 6.29 -51.93 -0.33 0.53 16 4 C 0.08 0.80 5.84 -3.53 -0.02 0.78 16 5 N -0.61 -7.61 2.52 -172.30 -0.43 -8.04 16 6 C 0.55 7.08 7.48 -10.99 -0.08 7.00 16 7 O -0.53 -8.53 12.57 5.55 0.07 -8.46 16 8 C -0.19 -1.81 4.90 -91.77 -0.45 -2.26 16 9 H 0.12 0.95 6.55 -51.93 -0.34 0.61 16 10 C -0.15 -1.17 9.53 -26.69 -0.25 -1.42 16 11 C -0.09 -0.84 2.70 -154.47 -0.42 -1.25 16 12 C -0.12 -0.81 9.85 37.16 0.37 -0.44 16 13 C -0.10 -1.11 8.09 37.16 0.30 -0.81 16 14 C 0.09 1.28 5.29 -3.56 -0.02 1.26 16 15 C 0.12 1.92 0.68 -90.50 -0.06 1.85 16 16 C -0.12 -2.14 5.10 -26.64 -0.14 -2.28 16 17 C 0.13 2.98 3.97 -3.71 -0.01 2.97 16 18 N -0.60 -14.66 2.77 -172.02 -0.48 -15.14 16 19 C -0.26 -7.34 10.03 -15.06 -0.15 -7.50 16 20 H 0.08 2.54 8.06 -52.48 -0.42 2.12 16 21 C 0.02 0.67 5.23 -17.44 -0.09 0.57 16 22 N -0.91 -28.26 13.97 55.49 0.78 -27.49 16 23 Si 0.88 22.82 24.35 -169.99 -4.14 18.68 16 24 H -0.29 -7.19 6.62 56.52 0.37 -6.82 16 25 H -0.30 -8.00 7.11 56.52 0.40 -7.60 16 26 H -0.27 -6.90 6.64 56.52 0.38 -6.52 16 27 C 0.16 3.18 6.31 -3.47 -0.02 3.16 16 28 C -0.15 -2.65 4.35 -26.39 -0.11 -2.77 16 29 O -0.36 -5.65 8.64 -35.23 -0.30 -5.95 16 30 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 31 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 32 H 0.07 0.48 8.14 -51.93 -0.42 0.05 16 33 H 0.09 0.68 5.60 -51.93 -0.29 0.39 16 34 H 0.08 0.71 8.14 -51.93 -0.42 0.28 16 35 H 0.10 0.86 8.05 -51.93 -0.42 0.44 16 36 H 0.10 0.60 8.05 -51.93 -0.42 0.18 16 37 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 38 H 0.07 0.41 7.92 -51.93 -0.41 0.00 16 39 H 0.06 0.33 7.90 -51.93 -0.41 -0.08 16 40 H 0.06 0.77 7.02 -51.93 -0.36 0.41 16 41 H 0.05 0.43 7.92 -51.93 -0.41 0.02 16 42 H 0.07 0.89 7.26 -51.93 -0.38 0.51 16 43 H 0.10 1.56 7.07 -51.93 -0.37 1.20 16 44 H 0.07 0.95 8.14 -51.93 -0.42 0.53 16 45 H 0.08 1.48 8.14 -51.93 -0.42 1.06 16 46 H 0.06 1.01 8.14 -51.92 -0.42 0.59 16 47 H 0.07 1.73 4.48 -51.92 -0.23 1.50 16 48 H 0.03 0.78 6.77 -51.93 -0.35 0.43 16 49 H 0.26 7.73 8.31 -40.82 -0.34 7.39 16 50 H 0.03 0.50 7.82 -51.93 -0.41 0.10 16 51 H 0.06 1.24 7.93 -51.93 -0.41 0.83 16 52 H 0.07 1.36 8.14 -51.92 -0.42 0.94 16 53 H 0.05 0.86 6.16 -51.93 -0.32 0.54 16 LS Contribution 389.55 15.07 5.87 5.87 Total: -1.00 -32.98 389.55 -8.80 -41.78 By element: Atomic # 1 Polarization: 9.42 SS G_CDS: -9.27 Total: 0.14 kcal Atomic # 6 Polarization: -0.50 SS G_CDS: -0.89 Total: -1.40 kcal Atomic # 7 Polarization: -50.53 SS G_CDS: -0.14 Total: -50.67 kcal Atomic # 8 Polarization: -14.18 SS G_CDS: -0.23 Total: -14.41 kcal Atomic # 14 Polarization: 22.82 SS G_CDS: -4.14 Total: 18.68 kcal Total LS contribution 5.87 Total: 5.87 kcal Total: -32.98 -8.80 -41.78 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. ZINC001098589717.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 20.019 kcal (2) G-P(sol) polarization free energy of solvation -32.977 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -12.958 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.804 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.781 kcal (6) G-S(sol) free energy of system = (1) + (5) -21.762 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.38 seconds