Wall clock time and date at job start Tue Mar 31 2020 21:37:44 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 H 1.08997 * 109.50842 * 2 1 4 4 C 1.53293 * 109.50950 * 239.85715 * 2 1 3 5 5 N 1.47154 * 108.38392 * 187.74134 * 4 2 1 6 6 C 1.34777 * 120.98897 * 230.55709 * 5 4 2 7 7 O 1.21288 * 119.99774 * 175.09627 * 6 5 4 8 8 C 1.50699 * 120.00146 * 355.09896 * 6 5 4 9 9 C 1.53005 * 112.84700 * 295.64606 * 8 6 5 10 10 C 1.53780 * 113.61630 * 164.34041 * 8 6 5 11 11 C 1.53780 * 87.08300 * 220.01673 * 10 8 6 12 12 C 1.53775 * 113.61735 * 66.84106 * 8 6 5 13 13 C 1.47156 * 118.02187 * 50.58242 * 5 4 2 14 14 C 1.53257 * 108.39361 * 309.50841 * 13 5 4 15 15 C 1.52998 * 109.37298 * 172.13377 * 14 13 5 16 16 C 1.53189 * 109.34753 * 181.15854 * 15 14 13 17 17 N 1.46939 * 108.76948 * 305.42736 * 16 15 14 18 18 C 1.36935 * 120.63693 * 233.64404 * 17 16 15 19 19 H 1.08002 * 119.99956 * 31.79768 * 18 17 16 20 20 C 1.38808 * 120.00137 * 211.79294 * 18 17 16 21 21 N 1.31616 * 120.00244 * 11.68156 * 20 18 17 22 22 Si 1.86801 * 120.00026 * 191.68041 * 20 18 17 23 23 H 1.48491 * 109.47474 * 90.00260 * 22 20 18 24 24 H 1.48504 * 109.47044 * 210.00363 * 22 20 18 25 25 H 1.48503 * 109.47390 * 329.99871 * 22 20 18 26 26 C 1.46920 * 118.72302 * 53.67012 * 17 16 15 27 27 C 1.52987 * 109.39279 * 292.22743 * 14 13 5 28 28 O 1.42896 * 109.31958 * 52.19442 * 14 13 5 29 29 H 1.08999 * 109.47189 * 299.89603 * 1 2 3 30 30 H 1.09005 * 109.47187 * 179.89703 * 1 2 3 31 31 H 1.09000 * 109.47296 * 59.90039 * 1 2 3 32 32 H 1.08996 * 109.68642 * 307.46224 * 4 2 1 33 33 H 1.09000 * 109.68411 * 68.02038 * 4 2 1 34 34 H 1.08998 * 109.47274 * 65.42272 * 9 8 6 35 35 H 1.09000 * 109.47025 * 185.42503 * 9 8 6 36 36 H 1.08997 * 109.47126 * 305.41819 * 9 8 6 37 37 H 1.09001 * 113.61363 * 334.56373 * 10 8 6 38 38 H 1.09001 * 113.61729 * 105.46862 * 10 8 6 39 39 H 1.08999 * 113.61647 * 270.88793 * 11 10 8 40 40 H 1.08994 * 113.61289 * 139.97584 * 11 10 8 41 41 H 1.09003 * 113.61886 * 254.53252 * 12 8 6 42 42 H 1.09003 * 113.61416 * 25.43408 * 12 8 6 43 43 H 1.09005 * 109.67970 * 189.79003 * 13 5 4 44 44 H 1.08997 * 109.68156 * 69.24013 * 13 5 4 45 45 H 1.08999 * 109.49283 * 301.12373 * 15 14 13 46 46 H 1.09007 * 109.48571 * 61.19772 * 15 14 13 47 47 H 1.08993 * 109.58868 * 185.63656 * 16 15 14 48 48 H 1.08998 * 109.58593 * 65.21017 * 16 15 14 49 49 H 0.96999 * 120.00392 * 179.97438 * 21 20 18 50 50 H 1.08993 * 109.58861 * 186.54384 * 26 17 16 51 51 H 1.09004 * 109.70626 * 66.18829 * 26 17 16 52 52 H 1.08991 * 109.49016 * 298.82386 * 27 14 13 53 53 H 1.09006 * 109.48854 * 58.87579 * 27 14 13 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 1.8940 1.0274 0.0000 4 6 2.0419 -0.7256 -1.2495 5 7 3.5012 -0.8759 -1.1337 6 6 4.3190 -0.5032 -2.1381 7 8 5.5219 -0.5516 -1.9903 8 6 3.7389 -0.0263 -3.4447 9 6 2.9528 -1.1149 -4.1782 10 6 4.7522 0.7109 -4.3360 11 6 3.6174 1.6893 -4.6820 12 6 2.9845 1.3090 -3.3330 13 6 4.0409 -1.4457 0.1110 14 6 3.4306 -0.6870 1.2946 15 6 3.8211 -1.3837 2.5996 16 6 3.1870 -0.6417 3.7804 17 7 3.5739 0.7741 3.7119 18 6 4.1568 1.3910 4.7866 19 1 4.7889 0.8263 5.4560 20 6 3.9353 2.7420 5.0157 21 7 2.9951 3.3771 4.3486 22 14 4.9716 3.6587 6.2707 23 1 6.1724 4.2230 5.6038 24 1 4.1713 4.7601 6.8638 25 1 5.3949 2.7219 7.3424 26 6 3.3230 1.5154 2.4685 27 6 3.9555 0.7500 1.3019 28 8 2.0075 -0.6759 1.1658 29 1 -0.3633 0.5122 0.8909 30 1 -0.3634 -1.0277 -0.0018 31 1 -0.3634 0.5154 -0.8891 32 1 1.5762 -1.7085 -1.3200 33 1 1.8025 -0.1408 -2.1376 34 1 2.0727 -1.3837 -3.5940 35 1 2.6413 -0.7430 -5.1542 36 1 3.5843 -1.9936 -4.3089 37 1 5.5700 1.1697 -3.7802 38 1 5.0953 0.1219 -5.1866 39 1 3.0246 1.3832 -5.5440 40 1 3.9388 2.7294 -4.7357 41 1 1.9004 1.2028 -3.3737 42 1 3.3190 1.9313 -2.5029 43 1 5.1254 -1.3363 0.1249 44 1 3.7771 -2.5012 0.1762 45 1 3.4642 -2.4134 2.5831 46 1 4.9060 -1.3759 2.7055 47 1 3.5423 -1.0729 4.7162 48 1 2.1017 -0.7270 3.7252 49 1 2.8401 4.3211 4.5089 50 1 3.7681 2.5078 2.5385 51 1 2.2491 1.6073 2.3057 52 1 5.0392 0.7407 1.4180 53 1 3.6944 1.2373 0.3625 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 ZINC001098623459.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 21:37:44 Heat of formation + Delta-G solvation = -32.630590 kcal Electronic energy + Delta-G solvation = -32481.742260 eV Core-core repulsion = 28547.821084 eV Total energy + Delta-G solvation = -3933.921176 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -41.18034 -39.60811 -37.59475 -36.35708 -34.54578 -33.52562 -31.47848 -30.34563 -29.94363 -29.52566 -27.30839 -26.43043 -25.86151 -24.88492 -23.70611 -22.57687 -21.65360 -21.01238 -19.77071 -18.92825 -18.52091 -17.11506 -16.91301 -16.38805 -15.70400 -15.45842 -15.22710 -14.82905 -14.65781 -14.40095 -14.26188 -13.82248 -13.55108 -13.34648 -13.21363 -13.08400 -12.77400 -12.66049 -12.53085 -12.46924 -12.25719 -11.93360 -11.78750 -11.56733 -11.46456 -11.41184 -11.38191 -11.26079 -10.95481 -10.75571 -10.72207 -10.57286 -10.45487 -10.30158 -10.21671 -10.01210 -9.81681 -9.60052 -9.40406 -9.24319 -8.43095 -8.28965 -6.54024 -5.73703 -3.20747 2.63036 2.92523 3.40141 3.46601 3.47757 3.93155 4.15983 4.22874 4.42191 4.53052 4.55996 4.66067 4.74970 4.95467 5.14295 5.15110 5.17256 5.28547 5.32957 5.37837 5.39985 5.44169 5.49503 5.51424 5.57580 5.58376 5.64207 5.65281 5.68702 5.73998 5.79659 5.84320 5.92981 5.98495 6.07076 6.11993 6.19064 6.23303 6.34229 6.40238 6.47749 6.51530 6.61594 6.71981 6.87722 7.11375 7.40335 7.44230 7.63475 7.75155 7.83683 8.19433 8.53109 9.28055 9.90049 10.49777 11.34531 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.015280 B = 0.003643 C = 0.003457 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1831.967910 B = 7684.225083 C = 8098.692451 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C 0.070 3.930 3 H 0.069 0.931 4 C 0.074 3.926 5 N -0.606 5.606 6 C 0.530 3.470 7 O -0.540 6.540 8 C -0.109 4.109 9 C -0.127 4.127 10 C -0.111 4.111 11 C -0.140 4.140 12 C -0.128 4.128 13 C 0.087 3.913 14 C 0.120 3.880 15 C -0.118 4.118 16 C 0.152 3.848 17 N -0.591 5.591 18 C -0.252 4.252 19 H 0.064 0.936 20 C 0.005 3.995 21 N -0.904 5.904 22 Si 0.902 3.098 23 H -0.288 1.288 24 H -0.291 1.291 25 H -0.279 1.279 26 C 0.183 3.817 27 C -0.159 4.159 28 O -0.356 6.356 29 H 0.071 0.929 30 H 0.061 0.939 31 H 0.067 0.933 32 H 0.072 0.928 33 H 0.097 0.903 34 H 0.066 0.934 35 H 0.069 0.931 36 H 0.062 0.938 37 H 0.091 0.909 38 H 0.071 0.929 39 H 0.082 0.918 40 H 0.072 0.928 41 H 0.077 0.923 42 H 0.088 0.912 43 H 0.097 0.903 44 H 0.068 0.932 45 H 0.058 0.942 46 H 0.072 0.928 47 H 0.052 0.948 48 H 0.027 0.973 49 H 0.253 0.747 50 H 0.082 0.918 51 H 0.021 0.979 52 H 0.062 0.938 53 H 0.047 0.953 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.510 -8.067 -18.701 20.861 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 -0.199 4.199 2 C 0.012 3.988 3 H 0.087 0.913 4 C -0.049 4.049 5 N -0.339 5.339 6 C 0.319 3.681 7 O -0.417 6.417 8 C -0.112 4.112 9 C -0.184 4.184 10 C -0.149 4.149 11 C -0.177 4.177 12 C -0.166 4.166 13 C -0.035 4.035 14 C 0.080 3.920 15 C -0.157 4.157 16 C 0.025 3.975 17 N -0.313 5.313 18 C -0.381 4.381 19 H 0.081 0.919 20 C -0.194 4.194 21 N -0.549 5.549 22 Si 0.732 3.268 23 H -0.215 1.215 24 H -0.217 1.217 25 H -0.204 1.204 26 C 0.057 3.943 27 C -0.198 4.198 28 O -0.275 6.275 29 H 0.090 0.910 30 H 0.080 0.920 31 H 0.086 0.914 32 H 0.090 0.910 33 H 0.115 0.885 34 H 0.085 0.915 35 H 0.088 0.912 36 H 0.081 0.919 37 H 0.110 0.890 38 H 0.090 0.910 39 H 0.101 0.899 40 H 0.091 0.909 41 H 0.096 0.904 42 H 0.106 0.894 43 H 0.115 0.885 44 H 0.086 0.914 45 H 0.077 0.923 46 H 0.091 0.909 47 H 0.071 0.929 48 H 0.045 0.955 49 H 0.063 0.937 50 H 0.100 0.900 51 H 0.039 0.961 52 H 0.081 0.919 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -4.028 -8.010 -18.445 20.509 hybrid contribution 0.629 0.599 0.441 0.974 sum -3.399 -7.412 -18.004 19.765 Atomic orbital electron populations 1.21697 0.92701 1.02669 1.02824 1.22384 0.95094 0.96369 0.85001 0.91320 1.22740 0.80236 1.01671 1.00302 1.48059 1.06776 1.62740 1.16291 1.20428 0.86480 0.76502 0.84740 1.90679 1.14773 1.54127 1.82086 1.22118 0.99180 0.96190 0.93750 1.21638 0.99581 0.97082 1.00143 1.22829 0.96530 0.97005 0.98552 1.22833 0.97869 0.99978 0.97056 1.23068 0.99683 0.94881 0.98924 1.22459 1.00821 0.96969 0.83263 1.21699 0.80599 0.95963 0.93774 1.21998 1.01022 0.98221 0.94491 1.20797 0.96447 0.86002 0.94231 1.43975 1.70639 1.05783 1.10938 1.19190 1.21694 0.92897 1.04366 0.91875 1.25147 0.97177 0.98443 0.98629 1.69988 1.31406 1.09542 1.43935 0.86290 0.79681 0.79549 0.81232 1.21496 1.21736 1.20408 1.20608 0.96528 0.95052 0.82117 1.22703 1.01299 0.95267 1.00579 1.88002 1.20919 1.76372 1.42233 0.90976 0.92002 0.91406 0.91025 0.88535 0.91509 0.91205 0.91903 0.89027 0.91003 0.89898 0.90908 0.90442 0.89391 0.88518 0.91412 0.92309 0.90940 0.92943 0.95495 0.93738 0.89987 0.96057 0.91926 0.93419 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 -1.59 9.57 37.16 0.36 -1.24 16 2 C 0.07 0.98 3.01 -26.58 -0.08 0.90 16 3 H 0.07 1.08 6.29 -51.93 -0.33 0.75 16 4 C 0.07 0.84 4.43 -3.53 -0.02 0.82 16 5 N -0.61 -8.44 2.52 -172.30 -0.43 -8.87 16 6 C 0.53 7.70 6.71 -10.99 -0.07 7.63 16 7 O -0.54 -9.88 15.59 5.55 0.09 -9.80 16 8 C -0.11 -1.15 0.70 -154.85 -0.11 -1.26 16 9 C -0.13 -1.02 8.72 37.16 0.32 -0.70 16 10 C -0.11 -1.13 6.90 -25.92 -0.18 -1.31 16 11 C -0.14 -1.13 7.73 -25.92 -0.20 -1.33 16 12 C -0.13 -1.19 5.79 -25.92 -0.15 -1.34 16 13 C 0.09 1.36 5.31 -3.55 -0.02 1.34 16 14 C 0.12 2.09 0.68 -90.49 -0.06 2.03 16 15 C -0.12 -2.11 5.10 -26.63 -0.14 -2.25 16 16 C 0.15 3.28 6.28 -3.70 -0.02 3.26 16 17 N -0.59 -15.10 2.98 -172.32 -0.51 -15.61 16 18 C -0.25 -7.02 9.57 -15.06 -0.14 -7.16 16 19 H 0.06 1.73 7.86 -52.49 -0.41 1.32 16 20 C 0.00 0.13 5.02 -17.43 -0.09 0.04 16 21 N -0.90 -26.52 11.14 55.49 0.62 -25.90 16 22 Si 0.90 22.03 29.57 -169.99 -5.03 17.00 16 23 H -0.29 -7.03 7.11 56.52 0.40 -6.63 16 24 H -0.29 -7.15 7.11 56.52 0.40 -6.74 16 25 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 26 C 0.18 4.46 5.02 -3.71 -0.02 4.44 16 27 C -0.16 -3.20 4.33 -26.64 -0.12 -3.32 16 28 O -0.36 -6.15 8.65 -35.23 -0.30 -6.45 16 29 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 30 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 31 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 32 H 0.07 0.75 8.14 -51.93 -0.42 0.32 16 33 H 0.10 0.89 3.43 -51.93 -0.18 0.71 16 34 H 0.07 0.49 6.06 -51.93 -0.31 0.17 16 35 H 0.07 0.44 7.32 -51.93 -0.38 0.06 16 36 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 37 H 0.09 1.12 7.69 -51.93 -0.40 0.72 16 38 H 0.07 0.65 8.10 -51.93 -0.42 0.23 16 39 H 0.08 0.53 7.61 -51.93 -0.40 0.14 16 40 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 41 H 0.08 0.58 7.04 -51.93 -0.37 0.22 16 42 H 0.09 0.98 8.09 -51.93 -0.42 0.56 16 43 H 0.10 1.65 7.06 -51.93 -0.37 1.28 16 44 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 45 H 0.06 0.92 8.14 -51.93 -0.42 0.49 16 46 H 0.07 1.30 8.14 -51.92 -0.42 0.88 16 47 H 0.05 1.10 7.93 -51.93 -0.41 0.69 16 48 H 0.03 0.61 7.82 -51.93 -0.41 0.20 16 49 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 50 H 0.08 2.26 6.17 -51.93 -0.32 1.94 16 51 H 0.02 0.55 7.83 -51.93 -0.41 0.15 16 52 H 0.06 1.34 8.14 -51.93 -0.42 0.92 16 53 H 0.05 0.91 6.15 -51.93 -0.32 0.60 16 LS Contribution 388.84 15.07 5.86 5.86 Total: -1.00 -32.31 388.84 -9.65 -41.97 By element: Atomic # 1 Polarization: 10.46 SS G_CDS: -9.21 Total: 1.25 kcal Atomic # 6 Polarization: 1.29 SS G_CDS: -0.73 Total: 0.56 kcal Atomic # 7 Polarization: -50.06 SS G_CDS: -0.33 Total: -50.39 kcal Atomic # 8 Polarization: -16.03 SS G_CDS: -0.22 Total: -16.25 kcal Atomic # 14 Polarization: 22.03 SS G_CDS: -5.03 Total: 17.00 kcal Total LS contribution 5.86 Total: 5.86 kcal Total: -32.31 -9.65 -41.97 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. ZINC001098623459.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 9.337 kcal (2) G-P(sol) polarization free energy of solvation -32.314 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -22.977 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.654 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.967 kcal (6) G-S(sol) free energy of system = (1) + (5) -32.631 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds