Wall clock time and date at job start Thu Mar 4 2021 16:13:02 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.52999 * 1 3 3 C 1.52997 * 109.47148 * 2 1 4 4 C 1.53001 * 109.46875 * 240.00272 * 2 1 3 5 5 O 1.45196 * 109.46956 * 120.00475 * 2 1 3 6 6 C 1.34632 * 117.00375 * 60.00058 * 5 2 1 7 7 O 1.21512 * 119.99900 * 359.97438 * 6 5 2 8 8 N 1.34775 * 120.00366 * 179.97438 * 6 5 2 9 9 C 1.46498 * 120.00104 * 179.97438 * 8 6 5 10 10 C 1.53003 * 109.47015 * 180.02562 * 9 8 6 11 11 F 1.39902 * 112.90852 * 316.24885 * 10 9 8 12 12 C 1.53778 * 113.61726 * 87.50646 * 10 9 8 13 13 C 1.53778 * 87.08449 * 139.98071 * 12 10 9 14 14 H 1.09000 * 113.61263 * 89.11673 * 13 12 10 15 15 N 1.46502 * 113.61376 * 220.01807 * 13 12 10 16 16 C 1.34777 * 119.99843 * 252.49489 * 15 13 12 17 17 O 1.21281 * 119.99719 * 0.02562 * 16 15 13 18 18 C 1.50697 * 119.99526 * 179.97438 * 16 15 13 19 19 C 1.53535 * 109.82460 * 278.20836 * 18 16 15 20 20 C 1.53037 * 108.56358 * 179.51527 * 19 18 16 21 21 C 1.50206 * 110.31792 * 49.57232 * 20 19 18 22 22 C 1.50701 * 118.54946 * 159.97308 * 21 20 19 23 23 O 1.42902 * 109.47015 * 69.97399 * 22 21 20 24 24 Si 1.86295 * 109.47289 * 189.97904 * 22 21 20 25 25 C 1.31109 * 122.90416 * 339.94880 * 21 20 19 26 26 N 1.38923 * 121.85113 * 0.40403 * 25 21 20 27 27 C 1.53784 * 87.08081 * 334.56700 * 13 12 10 28 28 H 1.08997 * 109.47135 * 299.99293 * 1 2 3 29 29 H 1.09001 * 109.47677 * 59.99663 * 1 2 3 30 30 H 1.09001 * 109.47412 * 179.97438 * 1 2 3 31 31 H 1.09004 * 109.47114 * 180.02562 * 3 2 1 32 32 H 1.08996 * 109.47312 * 300.00269 * 3 2 1 33 33 H 1.09000 * 109.47017 * 60.00214 * 3 2 1 34 34 H 1.09001 * 109.47161 * 300.00228 * 4 2 1 35 35 H 1.09002 * 109.47548 * 60.00008 * 4 2 1 36 36 H 1.08994 * 109.47064 * 179.97438 * 4 2 1 37 37 H 0.97004 * 119.99767 * 0.02562 * 8 6 5 38 38 H 1.08996 * 109.47131 * 60.00613 * 9 8 6 39 39 H 1.09005 * 109.47637 * 300.00155 * 9 8 6 40 40 H 1.08999 * 113.61111 * 254.53134 * 12 10 9 41 41 H 1.08999 * 113.61280 * 25.34517 * 12 10 9 42 42 H 0.97002 * 120.00147 * 72.49618 * 15 13 12 43 43 H 1.08998 * 109.81701 * 39.14433 * 18 16 15 44 44 H 1.08999 * 109.62476 * 299.23779 * 19 18 16 45 45 H 1.08997 * 109.62261 * 59.79517 * 19 18 16 46 46 H 1.08996 * 109.33126 * 289.31210 * 20 19 18 47 47 H 1.09002 * 109.19492 * 169.74392 * 20 19 18 48 48 H 1.09002 * 109.46608 * 309.97788 * 22 21 20 49 49 H 0.96698 * 113.99746 * 60.01061 * 23 22 21 50 50 H 1.48501 * 110.00175 * 179.97438 * 24 22 21 51 51 H 1.48503 * 109.99915 * 301.31794 * 24 22 21 52 52 H 1.08007 * 119.07685 * 180.42831 * 25 21 20 53 53 H 0.96999 * 120.55818 * 166.66123 * 26 25 21 54 54 H 1.09004 * 113.61451 * 270.88641 * 27 13 12 55 55 H 1.08994 * 113.61477 * 139.97943 * 27 13 12 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 1.4425 0.0000 4 6 2.0399 -0.7212 -1.2493 5 8 2.0139 -0.6846 1.1855 6 6 1.6522 -1.9724 1.3382 7 8 0.9509 -2.5095 0.5039 8 7 2.0680 -2.6659 2.4165 9 6 1.6739 -4.0670 2.5829 10 6 2.2741 -4.6151 3.8791 11 9 3.6099 -4.2413 4.0615 12 6 1.3927 -4.3745 5.1161 13 6 1.7824 -5.7906 5.5719 14 1 2.6887 -5.8206 6.1768 15 7 0.6742 -6.5412 6.1675 16 6 0.6480 -6.7630 7.4966 17 8 1.5416 -6.3409 8.1996 18 6 -0.4923 -7.5346 8.1093 19 6 -1.6948 -6.6043 8.3237 20 6 -2.8378 -7.4184 8.9344 21 6 -2.3442 -8.2073 10.1134 22 6 -3.3499 -8.7024 11.1207 23 8 -4.1422 -9.7368 10.5338 24 14 -2.4570 -9.3740 12.6114 25 6 -1.0772 -8.4847 10.3048 26 7 -0.0918 -8.0560 9.4244 27 6 2.0209 -6.1175 4.0883 28 1 -0.3633 0.5137 0.8900 29 1 -0.3634 0.5139 -0.8899 30 1 -0.3634 -1.0277 -0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6766 1.9563 -0.8899 33 1 1.6767 1.9563 0.8900 34 1 1.6765 -1.7489 -1.2494 35 1 1.6766 -0.2074 -2.1393 36 1 3.1299 -0.7208 -1.2496 37 1 2.6276 -2.2370 3.0827 38 1 2.0397 -4.6501 1.7378 39 1 0.5870 -4.1358 2.6286 40 1 1.7652 -3.5870 5.7711 41 1 0.3336 -4.2654 4.8830 42 1 -0.0407 -6.8785 5.6053 43 1 -0.7740 -8.3595 7.4549 44 1 -1.4170 -5.7975 9.0018 45 1 -2.0116 -6.1892 7.3669 46 1 -3.2352 -8.1017 8.1839 47 1 -3.6271 -6.7403 9.2589 48 1 -3.9956 -7.8784 11.4245 49 1 -3.6321 -10.5037 10.2394 50 1 -3.4378 -9.8649 13.6125 51 1 -1.5494 -10.4771 12.2055 52 1 -0.7915 -9.0630 11.1711 53 1 0.8448 -8.0997 9.6732 54 1 1.1332 -6.4863 3.5743 55 1 2.9005 -6.7369 3.9136 There are 73 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 73 No. of singly occupied orbitals= 1 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER m_22_15734572_15413834.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Thu Mar 4 2021 16:13:02 Heat of formation + Delta-G solvation = -148.656155 kcal Electronic energy + Delta-G solvation = -36237.665939 eV Core-core repulsion = 31191.895158 eV Total energy + Delta-G solvation = -5045.770781 eV No. of doubly occupied orbitals = 73 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 386.210 amu Computer time = 1.70 seconds Orbital eigenvalues (eV) -48.92505 -41.84357 -41.50816 -40.01794 -39.07584 -38.34268 -37.43360 -36.01091 -35.02816 -34.38226 -33.20706 -32.79542 -29.33722 -28.37711 -28.31779 -27.49867 -27.08372 -25.48584 -24.37998 -23.54878 -22.79966 -21.73475 -21.43042 -20.78595 -19.42682 -19.31942 -19.07519 -18.07814 -17.96589 -17.51424 -17.43962 -17.00783 -16.92970 -16.62453 -16.34905 -16.20753 -15.82513 -15.80548 -15.65600 -15.46005 -15.28081 -15.17813 -14.93716 -14.69092 -14.47865 -14.43998 -14.18161 -13.98665 -13.94997 -13.52997 -13.37668 -13.13149 -13.04742 -12.95399 -12.93511 -12.88691 -12.84324 -12.77828 -12.49514 -12.38329 -12.37201 -11.94594 -11.78250 -11.64829 -11.48910 -11.41520 -11.24291 -11.16914 -10.88359 -10.34914 -10.29391 -10.17852 -8.45524 -4.89073 1.07235 1.32682 1.40557 1.44996 1.56466 1.69061 1.86976 1.98826 2.64002 2.90821 2.98881 3.13854 3.22690 3.50414 3.55264 3.58070 3.62056 3.72467 3.78046 3.81190 3.89842 3.92905 4.05555 4.22658 4.31922 4.34598 4.46480 4.49256 4.55169 4.57187 4.59902 4.60510 4.64181 4.73153 4.73700 4.75524 4.79375 4.79978 4.84283 4.86255 4.87973 4.99067 5.05223 5.10102 5.18645 5.25975 5.26574 5.30950 5.31863 5.40593 5.52677 5.59016 6.24747 6.25372 6.44873 6.65479 6.82231 7.09756 7.24368 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.179 4.179 2 C 0.127 3.873 3 C -0.139 4.139 4 C -0.180 4.180 5 O -0.371 6.371 6 C 0.647 3.353 7 O -0.589 6.589 8 N -0.705 5.705 9 C 0.134 3.866 10 C 0.084 3.916 11 F -0.197 7.197 12 C -0.161 4.161 13 C 0.123 3.877 14 H 0.097 0.903 15 N -0.698 5.698 16 C 0.515 3.485 17 O -0.572 6.572 18 C 0.138 3.862 19 C -0.120 4.120 20 C -0.052 4.052 21 C -0.282 4.282 22 C -0.054 4.054 23 O -0.556 6.556 24 Si 0.741 3.259 25 C 0.137 3.863 26 N -0.738 5.738 27 C -0.140 4.140 28 H 0.062 0.938 29 H 0.087 0.913 30 H 0.066 0.934 31 H 0.067 0.933 32 H 0.099 0.901 33 H 0.069 0.931 34 H 0.065 0.935 35 H 0.088 0.912 36 H 0.060 0.940 37 H 0.414 0.586 38 H 0.083 0.917 39 H 0.108 0.892 40 H 0.077 0.923 41 H 0.128 0.872 42 H 0.422 0.578 43 H 0.111 0.889 44 H 0.061 0.939 45 H 0.101 0.899 46 H 0.070 0.930 47 H 0.072 0.928 48 H 0.111 0.889 49 H 0.382 0.618 50 H -0.311 1.311 51 H -0.283 1.283 52 H 0.140 0.860 53 H 0.407 0.593 54 H 0.141 0.859 55 H 0.095 0.905 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.702 0.886 -2.917 3.129 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 -0.236 4.236 2 C 0.091 3.909 3 C -0.196 4.196 4 C -0.238 4.238 5 O -0.286 6.286 6 C 0.400 3.600 7 O -0.480 6.480 8 N -0.365 5.365 9 C 0.011 3.989 10 C 0.064 3.936 11 F -0.178 7.178 12 C -0.199 4.199 13 C 0.017 3.983 14 H 0.115 0.885 15 N -0.350 5.350 16 C 0.301 3.699 17 O -0.450 6.450 18 C 0.029 3.971 19 C -0.159 4.159 20 C -0.089 4.089 21 C -0.292 4.292 22 C -0.165 4.165 23 O -0.364 6.364 24 Si 0.649 3.351 25 C 0.017 3.983 26 N -0.370 5.370 27 C -0.179 4.179 28 H 0.081 0.919 29 H 0.106 0.894 30 H 0.085 0.915 31 H 0.086 0.914 32 H 0.118 0.882 33 H 0.088 0.912 34 H 0.084 0.916 35 H 0.106 0.894 36 H 0.079 0.921 37 H 0.251 0.749 38 H 0.101 0.899 39 H 0.126 0.874 40 H 0.095 0.905 41 H 0.146 0.854 42 H 0.261 0.739 43 H 0.128 0.872 44 H 0.080 0.920 45 H 0.120 0.880 46 H 0.088 0.912 47 H 0.091 0.909 48 H 0.129 0.871 49 H 0.231 0.769 50 H -0.240 1.240 51 H -0.211 1.211 52 H 0.157 0.843 53 H 0.243 0.757 54 H 0.159 0.841 55 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges -0.750 0.760 -2.372 2.601 hybrid contribution 0.373 -0.845 -0.426 1.018 sum -0.377 -0.086 -2.798 2.825 Atomic orbital electron populations 1.22471 0.93726 1.03876 1.03570 1.22376 0.94680 0.92485 0.81406 1.21901 1.02394 0.91021 1.04286 1.22481 1.01565 1.02353 0.97367 1.86318 1.71559 1.23314 1.47386 1.18222 0.78722 0.80823 0.82216 1.90911 1.42110 1.70943 1.43998 1.44565 1.55558 1.12720 1.23630 1.21896 1.01657 0.78959 0.96406 1.21933 0.77889 0.98229 0.95519 1.92878 1.36035 1.92584 1.96281 1.24215 1.02109 0.98297 0.95322 1.22344 0.90871 0.91345 0.93729 0.88482 1.45699 1.26105 1.56072 1.07091 1.20903 0.86712 0.79406 0.82845 1.90740 1.39964 1.52294 1.62020 1.21129 0.92468 0.96994 0.86551 1.21844 0.93792 0.97252 1.03025 1.19952 0.96802 0.97234 0.94927 1.20917 0.93595 1.11155 1.03570 1.24824 0.97329 0.93017 1.01340 1.86546 1.38302 1.30931 1.80620 0.94449 0.78760 0.85365 0.76515 1.20590 0.88857 0.95468 0.93433 1.44390 1.08020 1.69825 1.14770 1.23978 1.06212 0.93264 0.94437 0.91904 0.89440 0.91474 0.91362 0.88214 0.91190 0.91570 0.89368 0.92138 0.74941 0.89884 0.87428 0.90462 0.85399 0.73901 0.87159 0.92036 0.88015 0.91156 0.90919 0.87107 0.76930 1.24023 1.21070 0.84300 0.75679 0.84067 0.88629 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.18 -0.33 8.37 71.98 0.60 0.27 16 2 C 0.13 0.29 1.13 -10.79 -0.01 0.28 16 3 C -0.14 0.31 8.85 71.98 0.64 0.95 16 4 C -0.18 -0.45 8.37 71.98 0.60 0.15 16 5 O -0.37 -1.92 9.94 -55.42 -0.55 -2.47 16 6 C 0.65 3.49 8.06 129.79 1.05 4.54 16 7 O -0.59 -5.58 11.88 19.80 0.24 -5.34 16 8 N -0.70 0.21 5.45 -590.86 -3.22 -3.02 16 9 C 0.13 -0.66 5.43 86.38 0.47 -0.19 16 10 C 0.08 -0.52 1.74 -10.27 -0.02 -0.54 16 11 F -0.20 -0.04 16.58 44.97 0.75 0.71 16 12 C -0.16 1.16 7.32 31.12 0.23 1.39 16 13 C 0.12 -0.75 4.22 45.52 0.19 -0.55 16 14 H 0.10 0.03 7.47 -2.39 -0.02 0.01 16 15 N -0.70 5.84 5.35 -440.03 -2.36 3.48 16 16 C 0.52 -0.93 7.08 87.66 0.62 -0.31 16 17 O -0.57 -4.32 15.71 -3.03 -0.05 -4.37 16 18 C 0.14 -0.64 3.36 44.32 0.15 -0.49 16 19 C -0.12 0.63 5.47 30.79 0.17 0.79 16 20 C -0.05 0.16 5.85 29.71 0.17 0.34 16 21 C -0.28 0.39 5.37 -16.75 -0.09 0.30 16 22 C -0.05 0.01 2.81 71.24 0.20 0.21 16 23 O -0.56 -1.63 12.88 -148.98 -1.92 -3.55 16 24 Si 0.74 -0.48 29.97 68.60 2.06 1.58 16 25 C 0.14 -0.24 9.61 83.42 0.80 0.56 16 26 N -0.74 1.07 5.46 -329.01 -1.80 -0.72 16 27 C -0.14 1.43 7.29 31.12 0.23 1.66 16 28 H 0.06 0.08 8.14 -2.39 -0.02 0.06 16 29 H 0.09 -0.13 8.14 -2.39 -0.02 -0.15 16 30 H 0.07 0.43 5.88 -2.39 -0.01 0.42 16 31 H 0.07 -0.14 8.14 -2.39 -0.02 -0.16 16 32 H 0.10 -0.57 8.14 -2.39 -0.02 -0.59 16 33 H 0.07 -0.17 8.14 -2.39 -0.02 -0.19 16 34 H 0.07 0.48 5.88 -2.39 -0.01 0.46 16 35 H 0.09 -0.09 8.14 -2.39 -0.02 -0.11 16 36 H 0.06 0.14 8.14 -2.39 -0.02 0.12 16 37 H 0.41 -0.77 8.14 -92.71 -0.75 -1.53 16 38 H 0.08 -0.32 8.14 -2.39 -0.02 -0.34 16 39 H 0.11 -0.82 7.84 -2.38 -0.02 -0.84 16 40 H 0.08 -0.29 8.14 -2.39 -0.02 -0.31 16 41 H 0.13 -1.43 7.89 -2.39 -0.02 -1.45 16 42 H 0.42 -6.45 8.73 -92.71 -0.81 -7.26 16 43 H 0.11 -0.95 8.14 -2.39 -0.02 -0.97 16 44 H 0.06 -0.06 8.14 -2.39 -0.02 -0.08 16 45 H 0.10 -1.01 8.14 -2.39 -0.02 -1.03 16 46 H 0.07 -0.26 8.14 -2.39 -0.02 -0.28 16 47 H 0.07 -0.17 8.14 -2.39 -0.02 -0.19 16 48 H 0.11 -0.06 7.96 -2.39 -0.02 -0.08 16 49 H 0.38 -1.07 8.70 -74.06 -0.64 -1.72 16 50 H -0.31 -2.49 7.11 99.48 0.71 -1.78 16 51 H -0.28 -0.67 6.82 99.48 0.68 0.01 16 52 H 0.14 -0.49 4.31 -2.91 -0.01 -0.50 16 53 H 0.41 -0.16 8.12 -92.71 -0.75 -0.91 16 54 H 0.14 -2.28 8.08 -2.39 -0.02 -2.29 16 55 H 0.10 -0.86 8.14 -2.39 -0.02 -0.88 16 Total: 0.00 -24.05 438.60 -2.86 -26.91 By element: Atomic # 1 Polarization: -20.57 SS G_CDS: -2.00 Total: -22.57 kcal Atomic # 6 Polarization: 3.36 SS G_CDS: 6.00 Total: 9.36 kcal Atomic # 7 Polarization: 7.12 SS G_CDS: -7.38 Total: -0.26 kcal Atomic # 8 Polarization: -13.45 SS G_CDS: -2.28 Total: -15.73 kcal Atomic # 9 Polarization: -0.04 SS G_CDS: 0.75 Total: 0.71 kcal Atomic # 14 Polarization: -0.48 SS G_CDS: 2.06 Total: 1.58 kcal Total: -24.05 -2.86 -26.91 kcal The number of atoms in the molecule is 55 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. m_22_15734572_15413834.mol2 55 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 -121.750 kcal (2) G-P(sol) polarization free energy of solvation -24.046 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -145.796 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.861 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -26.906 kcal (6) G-S(sol) free energy of system = (1) + (5) -148.656 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.70 seconds