Wall clock time and date at job start Sat Apr 11 2020 06:13:16 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 C 1.52992 * 109.47134 * 2 1 4 4 C 1.52998 * 109.47134 * 179.97438 * 3 2 1 5 5 C 1.53008 * 109.47343 * 180.02562 * 4 3 2 6 6 H 1.08995 * 109.46608 * 305.00395 * 5 4 3 7 7 N 1.46500 * 109.46648 * 65.00052 * 5 4 3 8 8 C 1.34776 * 120.00222 * 60.00513 * 7 5 4 9 9 N 1.34770 * 120.00081 * 179.97438 * 8 7 5 10 10 O 1.21588 * 119.99990 * 359.97438 * 8 7 5 11 11 C 1.50702 * 109.47042 * 184.99927 * 5 4 3 12 12 O 1.21276 * 120.00146 * 259.99986 * 11 5 4 13 13 N 1.34777 * 119.99767 * 80.28107 * 11 5 4 14 14 C 1.46494 * 119.99853 * 179.72396 * 13 11 5 15 15 C 1.53004 * 109.47250 * 179.97438 * 14 13 11 16 16 H 1.08997 * 109.49927 * 305.00255 * 15 14 13 17 17 C 1.53038 * 109.49910 * 184.93082 * 15 14 13 18 18 C 1.53043 * 109.53700 * 178.68250 * 17 15 14 19 19 C 1.53187 * 109.31047 * 61.36901 * 18 17 15 20 20 N 1.46928 * 108.77653 * 305.36248 * 19 18 17 21 21 C 1.36943 * 120.63166 * 233.61311 * 20 19 18 22 22 H 1.07994 * 120.00020 * 151.82772 * 21 20 19 23 23 C 1.38817 * 119.99745 * 331.82746 * 21 20 19 24 24 N 1.31612 * 120.00008 * 343.07460 * 23 21 20 25 25 Si 1.86794 * 119.99644 * 163.07377 * 23 21 20 26 26 H 1.48500 * 109.47216 * 359.97438 * 25 23 21 27 27 H 1.48498 * 109.47378 * 120.00373 * 25 23 21 28 28 H 1.48504 * 109.47201 * 239.99785 * 25 23 21 29 29 C 1.46931 * 118.76315 * 53.59262 * 20 19 18 30 30 H 1.08993 * 109.47637 * 60.00031 * 1 2 3 31 31 H 1.09000 * 109.47289 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.47545 * 299.99488 * 1 2 3 33 33 H 1.09003 * 109.46891 * 239.99862 * 2 1 3 34 34 H 1.09002 * 109.47102 * 120.00211 * 2 1 3 35 35 H 1.09003 * 109.47344 * 60.00140 * 3 2 1 36 36 H 1.09002 * 109.47298 * 300.00091 * 3 2 1 37 37 H 1.08994 * 109.47171 * 60.00362 * 4 3 2 38 38 H 1.09002 * 109.47102 * 300.00211 * 4 3 2 39 39 H 0.97001 * 119.99576 * 239.99589 * 7 5 4 40 40 H 0.97006 * 119.99972 * 359.97438 * 9 8 7 41 41 H 0.96999 * 120.00731 * 179.97438 * 9 8 7 42 42 H 0.97001 * 120.00001 * 359.71703 * 13 11 5 43 43 H 1.09000 * 109.47165 * 299.98988 * 14 13 11 44 44 H 1.09000 * 109.47455 * 59.99401 * 14 13 11 45 45 H 1.08995 * 109.46287 * 298.70524 * 17 15 14 46 46 H 1.09002 * 109.45637 * 58.67940 * 17 15 14 47 47 H 1.09006 * 109.49410 * 181.31893 * 18 17 15 48 48 H 1.09000 * 109.49723 * 301.41494 * 18 17 15 49 49 H 1.09001 * 109.59283 * 65.15420 * 19 18 17 50 50 H 1.09000 * 109.58640 * 185.57829 * 19 18 17 51 51 H 0.97003 * 120.00367 * 180.02562 * 24 23 21 52 52 H 1.09001 * 109.61021 * 186.64577 * 29 20 19 53 53 H 1.08991 * 109.56331 * 66.21405 * 29 20 19 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 2.0400 1.4424 0.0000 4 6 3.5699 1.4424 0.0006 5 6 4.0800 2.8850 0.0013 6 1 3.6457 3.4242 -0.8405 7 7 3.6919 3.5395 1.2532 8 6 4.1160 3.0437 2.4325 9 7 3.7593 3.6462 3.5841 10 8 4.8203 2.0529 2.4575 11 6 5.5820 2.8867 -0.1219 12 8 6.2711 3.0394 0.8643 13 7 6.1593 2.7243 -1.3289 14 6 7.6192 2.7321 -1.4495 15 6 8.0111 2.5290 -2.9145 16 1 7.5489 1.6168 -3.2917 17 6 9.5331 2.4140 -3.0250 18 6 9.9239 2.1781 -4.4858 19 6 9.4665 3.3706 -5.3315 20 7 8.0277 3.5780 -5.1176 21 6 7.1652 3.6325 -6.1799 22 1 6.1351 3.3330 -6.0550 23 6 7.6149 4.0729 -7.4172 24 7 8.7443 4.7425 -7.5066 25 14 6.6169 3.7149 -8.9551 26 1 5.3972 2.9518 -8.5872 27 1 6.2254 4.9939 -9.6001 28 1 7.4350 2.9138 -9.9008 29 6 7.5313 3.7253 -3.7426 30 1 -0.3634 0.5138 -0.8899 31 1 -0.3634 -1.0277 -0.0005 32 1 -0.3634 0.5137 0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5139 0.8900 35 1 1.6767 1.9563 0.8900 36 1 1.6766 1.9563 -0.8900 37 1 3.9336 0.9285 -0.8891 38 1 3.9329 0.9287 0.8909 39 1 3.1298 4.3298 1.2332 40 1 3.1977 4.4368 3.5642 41 1 4.0642 3.2892 4.4329 42 1 5.6081 2.6022 -2.1177 43 1 8.0077 3.6881 -1.0984 44 1 8.0380 1.9262 -0.8467 45 1 9.9937 3.3360 -2.6703 46 1 9.8791 1.5780 -2.4172 47 1 11.0063 2.0729 -4.5604 48 1 9.4437 1.2693 -4.8486 49 1 10.0133 4.2640 -5.0295 50 1 9.6532 3.1643 -6.3853 51 1 9.0584 5.0506 -8.3712 52 1 6.4416 3.7525 -3.7480 53 1 7.9198 4.6477 -3.3112 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 ZINC001566883058.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 06:13:16 Heat of formation + Delta-G solvation = -70.943564 kcal Electronic energy + Delta-G solvation = -30880.421845 eV Core-core repulsion = 26786.675993 eV Total energy + Delta-G solvation = -4093.745851 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.21 seconds Orbital eigenvalues (eV) -40.62697 -38.93819 -37.69959 -36.36041 -34.73024 -34.28902 -33.59936 -32.96254 -30.88426 -30.43667 -30.11808 -27.23473 -25.33710 -24.96852 -22.99893 -22.16623 -21.80698 -21.07987 -20.75286 -19.89347 -19.02876 -18.67035 -17.60533 -16.83799 -16.48633 -16.01197 -15.60323 -15.25475 -14.91969 -14.71785 -14.46831 -14.38096 -14.10130 -14.04067 -13.74106 -13.41003 -13.34001 -13.10979 -12.84467 -12.75214 -12.31411 -12.22426 -12.14755 -11.87872 -11.47198 -11.31813 -11.26658 -11.09305 -11.02567 -10.80386 -10.72859 -10.46868 -10.22811 -10.19943 -10.15122 -9.92462 -9.82262 -9.64950 -9.60115 -9.40564 -8.91266 -8.75335 -8.48103 -6.67953 -5.80417 -3.23473 2.60602 2.91681 3.22384 3.34812 3.42834 3.44482 3.51425 4.33831 4.46558 4.53027 4.70583 4.74892 4.86873 4.97983 5.09955 5.16395 5.20902 5.32195 5.47252 5.49530 5.50573 5.52710 5.63457 5.64282 5.68251 5.84627 5.87060 5.96879 6.01605 6.03655 6.05982 6.18574 6.26896 6.32755 6.36352 6.40870 6.56141 6.60159 6.61258 6.73045 6.80389 6.83488 6.87943 6.98526 7.40221 7.66828 7.71766 7.77319 7.87205 8.43221 8.44479 8.69269 9.19409 9.83136 10.40279 11.27827 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.011406 B = 0.002674 C = 0.002335 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2454.229023 B =10470.582905 C =11987.542581 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.125 4.125 3 C -0.112 4.112 4 C -0.135 4.135 5 C 0.154 3.846 6 H 0.109 0.891 7 N -0.732 5.732 8 C 0.711 3.289 9 N -0.873 5.873 10 O -0.564 6.564 11 C 0.496 3.504 12 O -0.512 6.512 13 N -0.726 5.726 14 C 0.131 3.869 15 C -0.117 4.117 16 H 0.073 0.927 17 C -0.100 4.100 18 C -0.142 4.142 19 C 0.169 3.831 20 N -0.592 5.592 21 C -0.253 4.253 22 H 0.065 0.935 23 C 0.002 3.998 24 N -0.901 5.901 25 Si 0.901 3.099 26 H -0.278 1.278 27 H -0.291 1.291 28 H -0.289 1.289 29 C 0.155 3.845 30 H 0.054 0.946 31 H 0.052 0.948 32 H 0.051 0.949 33 H 0.063 0.937 34 H 0.060 0.940 35 H 0.061 0.939 36 H 0.062 0.938 37 H 0.075 0.925 38 H 0.095 0.905 39 H 0.398 0.602 40 H 0.392 0.608 41 H 0.412 0.588 42 H 0.400 0.600 43 H 0.063 0.937 44 H 0.060 0.940 45 H 0.056 0.944 46 H 0.047 0.953 47 H 0.049 0.951 48 H 0.054 0.946 49 H 0.017 0.983 50 H 0.086 0.914 51 H 0.253 0.747 52 H 0.050 0.950 53 H 0.018 0.982 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.887 -3.946 17.536 22.714 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 -0.209 4.209 2 C -0.163 4.163 3 C -0.150 4.150 4 C -0.174 4.174 5 C 0.044 3.956 6 H 0.127 0.873 7 N -0.389 5.389 8 C 0.409 3.591 9 N -0.441 5.441 10 O -0.438 6.438 11 C 0.280 3.720 12 O -0.386 6.386 13 N -0.379 5.379 14 C 0.007 3.993 15 C -0.137 4.137 16 H 0.091 0.909 17 C -0.138 4.138 18 C -0.181 4.181 19 C 0.043 3.957 20 N -0.314 5.314 21 C -0.382 4.382 22 H 0.083 0.917 23 C -0.197 4.197 24 N -0.546 5.546 25 Si 0.731 3.269 26 H -0.203 1.203 27 H -0.218 1.218 28 H -0.216 1.216 29 C 0.029 3.971 30 H 0.073 0.927 31 H 0.071 0.929 32 H 0.070 0.930 33 H 0.082 0.918 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.081 0.919 37 H 0.094 0.906 38 H 0.113 0.887 39 H 0.232 0.768 40 H 0.219 0.781 41 H 0.244 0.756 42 H 0.235 0.765 43 H 0.081 0.919 44 H 0.078 0.922 45 H 0.075 0.925 46 H 0.065 0.935 47 H 0.068 0.932 48 H 0.072 0.928 49 H 0.035 0.965 50 H 0.104 0.896 51 H 0.063 0.937 52 H 0.068 0.932 53 H 0.035 0.965 Dipole moment (debyes) X Y Z Total from point charges -12.690 -4.625 17.947 22.462 hybrid contribution -1.044 0.557 -0.949 1.517 sum -13.733 -4.068 16.998 22.228 Atomic orbital electron populations 1.21765 0.95982 1.01507 1.01639 1.21516 0.95662 0.96901 1.02217 1.21547 0.94554 0.96980 1.01896 1.22014 0.95994 0.94472 1.04907 1.20720 0.92334 0.96042 0.86522 0.87287 1.44675 1.56621 1.33360 1.04219 1.15828 0.79552 0.83192 0.80504 1.42975 1.58957 1.34409 1.07769 1.90965 1.40037 1.26989 1.85823 1.20812 0.90534 0.77303 0.83379 1.90743 1.64366 1.47050 1.36452 1.46045 1.08299 1.74414 1.09163 1.21395 0.79217 1.01567 0.97164 1.21944 0.97226 1.01693 0.92886 0.90906 1.21341 0.94360 1.00542 0.97563 1.22172 0.99018 1.01531 0.95356 1.20794 0.83480 0.92044 0.99336 1.44050 1.03781 1.83470 1.00124 1.19196 0.93442 1.37197 0.88400 0.91715 1.25049 0.97837 0.97859 0.98905 1.70044 1.22832 1.38119 1.23571 0.86248 0.79536 0.77604 0.83513 1.20252 1.21762 1.21581 1.20886 0.96808 0.93176 0.86259 0.92714 0.92892 0.92983 0.91844 0.92086 0.92074 0.91933 0.90606 0.88702 0.76833 0.78086 0.75610 0.76529 0.91899 0.92180 0.92544 0.93455 0.93224 0.92759 0.96473 0.89604 0.93680 0.93182 0.96458 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 -0.15 -1.05 9.91 37.16 0.37 -0.68 16 2 C -0.13 -1.00 5.93 -26.74 -0.16 -1.16 16 3 C -0.11 -0.88 5.10 -26.74 -0.14 -1.02 16 4 C -0.14 -1.36 4.54 -26.73 -0.12 -1.48 16 5 C 0.15 1.57 3.01 -69.08 -0.21 1.36 16 6 H 0.11 0.80 8.14 -51.93 -0.42 0.38 16 7 N -0.73 -6.76 4.65 -59.81 -0.28 -7.04 16 8 C 0.71 8.50 7.59 -86.92 -0.66 7.84 16 9 N -0.87 -6.58 8.88 27.63 0.25 -6.33 16 10 O -0.56 -9.54 13.03 -18.20 -0.24 -9.77 16 11 C 0.50 7.15 6.82 -10.98 -0.07 7.08 16 12 O -0.51 -9.62 13.68 -17.93 -0.25 -9.87 16 13 N -0.73 -9.82 5.33 -60.30 -0.32 -10.14 16 14 C 0.13 1.99 5.07 -4.04 -0.02 1.97 16 15 C -0.12 -1.94 2.37 -90.50 -0.21 -2.15 16 16 H 0.07 1.24 8.14 -51.93 -0.42 0.81 16 17 C -0.10 -1.68 5.17 -26.69 -0.14 -1.82 16 18 C -0.14 -2.68 6.08 -26.61 -0.16 -2.85 16 19 C 0.17 3.99 5.30 -3.71 -0.02 3.98 16 20 N -0.59 -14.40 2.99 -172.31 -0.52 -14.91 16 21 C -0.25 -6.72 9.58 -15.05 -0.14 -6.86 16 22 H 0.07 1.67 7.88 -52.49 -0.41 1.26 16 23 C 0.00 0.06 4.92 -17.43 -0.09 -0.03 16 24 N -0.90 -25.87 11.20 55.49 0.62 -25.25 16 25 Si 0.90 21.21 29.59 -169.99 -5.03 16.18 16 26 H -0.28 -6.33 7.11 56.52 0.40 -5.93 16 27 H -0.29 -6.91 7.11 56.52 0.40 -6.51 16 28 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 29 C 0.16 3.09 5.60 -3.70 -0.02 3.07 16 30 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.05 0.35 8.14 -51.93 -0.42 -0.08 16 32 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 33 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 34 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 35 H 0.06 0.48 7.75 -51.93 -0.40 0.08 16 36 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 38 H 0.09 1.26 6.04 -51.93 -0.31 0.95 16 39 H 0.40 2.28 8.84 -40.82 -0.36 1.92 16 40 H 0.39 1.60 8.84 -40.82 -0.36 1.24 16 41 H 0.41 2.87 8.93 -40.82 -0.36 2.51 16 42 H 0.40 4.69 7.70 -40.82 -0.31 4.38 16 43 H 0.06 1.03 8.14 -51.93 -0.42 0.60 16 44 H 0.06 0.95 8.14 -51.93 -0.42 0.52 16 45 H 0.06 0.96 8.14 -51.93 -0.42 0.53 16 46 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 47 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 48 H 0.05 1.04 8.14 -51.93 -0.42 0.62 16 49 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 50 H 0.09 2.27 6.06 -51.93 -0.31 1.96 16 51 H 0.25 7.01 8.31 -40.82 -0.34 6.67 16 52 H 0.05 0.94 7.14 -51.93 -0.37 0.57 16 53 H 0.02 0.37 8.14 -51.93 -0.42 -0.06 16 LS Contribution 413.59 15.07 6.23 6.23 Total: -1.00 -35.73 413.59 -10.86 -46.59 By element: Atomic # 1 Polarization: 16.59 SS G_CDS: -9.54 Total: 7.05 kcal Atomic # 6 Polarization: 9.06 SS G_CDS: -1.80 Total: 7.26 kcal Atomic # 7 Polarization: -63.42 SS G_CDS: -0.25 Total: -63.67 kcal Atomic # 8 Polarization: -19.16 SS G_CDS: -0.48 Total: -19.64 kcal Atomic # 14 Polarization: 21.21 SS G_CDS: -5.03 Total: 16.18 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -35.73 -10.86 -46.59 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. ZINC001566883058.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 -24.356 kcal (2) G-P(sol) polarization free energy of solvation -35.725 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -60.081 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.862 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -46.588 kcal (6) G-S(sol) free energy of system = (1) + (5) -70.944 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.21 seconds