Wall clock time and date at job start Sat Apr 11 2020 06:09:18 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 C 1.52996 * 109.47258 * 2 1 4 4 H 1.08998 * 109.58699 * 60.67010 * 3 2 1 5 5 C 1.53195 * 109.70266 * 300.30795 * 3 2 1 6 6 C 1.53047 * 109.31212 * 185.50531 * 5 3 2 7 7 C 1.53042 * 109.53339 * 61.37352 * 6 5 3 8 8 C 1.53200 * 109.31070 * 298.63155 * 7 6 5 9 9 N 1.46918 * 108.77702 * 54.63817 * 8 7 6 10 10 C 1.34771 * 120.63498 * 126.41385 * 9 8 7 11 11 O 1.21280 * 120.00572 * 185.35668 * 10 9 8 12 12 C 1.50706 * 119.99605 * 5.35071 * 10 9 8 13 13 H 1.08997 * 109.47219 * 49.70733 * 12 10 9 14 14 C 1.53001 * 109.47184 * 289.70730 * 12 10 9 15 15 N 1.46501 * 109.46960 * 169.70729 * 12 10 9 16 16 C 1.36928 * 119.99890 * 67.03578 * 15 12 10 17 17 H 1.08000 * 120.00440 * 317.39061 * 16 15 12 18 18 C 1.38818 * 120.00315 * 137.39881 * 16 15 12 19 19 N 1.31617 * 119.99841 * 359.30286 * 18 16 15 20 20 Si 1.86799 * 120.00416 * 179.30250 * 18 16 15 21 21 H 1.48501 * 109.46850 * 359.97438 * 20 18 16 22 22 H 1.48492 * 109.47272 * 119.99412 * 20 18 16 23 23 H 1.48495 * 109.47477 * 240.00114 * 20 18 16 24 24 C 1.46504 * 119.99848 * 247.03028 * 15 12 10 25 25 C 1.52990 * 109.46800 * 90.00388 * 24 15 12 26 26 C 1.50709 * 109.46840 * 180.02562 * 25 24 15 27 27 O 1.20824 * 119.99755 * 359.97438 * 26 25 24 28 28 O 1.34235 * 119.99699 * 180.02562 * 26 25 24 29 29 C 1.45201 * 116.99599 * 179.97438 * 28 26 25 30 30 H 1.08997 * 109.46709 * 305.72021 * 1 2 3 31 31 H 1.08990 * 109.47128 * 65.72011 * 1 2 3 32 32 H 1.09000 * 109.47075 * 185.72698 * 1 2 3 33 33 H 1.09010 * 109.46868 * 240.00009 * 2 1 3 34 34 H 1.09005 * 109.47182 * 120.00102 * 2 1 3 35 35 H 1.08997 * 109.49864 * 305.46191 * 5 3 2 36 36 H 1.09003 * 109.49139 * 65.56014 * 5 3 2 37 37 H 1.08997 * 109.46102 * 301.34832 * 6 5 3 38 38 H 1.09000 * 109.44914 * 181.38013 * 6 5 3 39 39 H 1.09002 * 109.49718 * 178.68734 * 7 6 5 40 40 H 1.08997 * 109.50139 * 58.58326 * 7 6 5 41 41 H 1.09003 * 109.58213 * 294.84848 * 8 7 6 42 42 H 1.08997 * 109.69967 * 174.49720 * 8 7 6 43 43 H 1.09001 * 109.46868 * 59.85671 * 14 12 10 44 44 H 1.09001 * 109.46901 * 179.85134 * 14 12 10 45 45 H 1.08998 * 109.47249 * 299.85886 * 14 12 10 46 46 H 0.96996 * 120.00526 * 180.02562 * 19 18 16 47 47 H 1.09001 * 109.46582 * 210.00478 * 24 15 12 48 48 H 1.09005 * 109.47028 * 330.00053 * 24 15 12 49 49 H 1.09001 * 109.47627 * 299.99450 * 25 24 15 50 50 H 1.08996 * 109.47584 * 60.00328 * 25 24 15 51 51 H 1.08991 * 109.47145 * 179.97438 * 29 28 26 52 52 H 1.08996 * 109.46832 * 299.99860 * 29 28 26 53 53 H 1.09002 * 109.47203 * 59.99603 * 29 28 26 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 1 1.6876 1.9546 0.8953 5 6 1.5260 2.1720 -1.2451 6 6 2.1508 3.5677 -1.3080 7 6 3.6723 3.4429 -1.4151 8 6 4.2108 2.7277 -0.1719 9 7 3.5092 1.4455 -0.0230 10 6 4.2000 0.2938 0.0908 11 8 3.6117 -0.7664 0.1154 12 6 5.7037 0.3236 0.1873 13 1 6.0046 1.0406 0.9511 14 6 6.2933 0.7385 -1.1622 15 7 6.1964 -1.0084 0.5467 16 6 6.0650 -2.0478 -0.3350 17 1 5.1437 -2.1779 -0.8832 18 6 7.1162 -2.9346 -0.5241 19 7 8.2439 -2.7684 0.1338 20 14 6.9301 -4.3639 -1.7124 21 1 5.5759 -4.3288 -2.3207 22 1 7.9560 -4.2564 -2.7806 23 1 7.1101 -5.6432 -0.9801 24 6 6.8296 -1.2284 1.8494 25 6 5.7649 -1.6264 2.8733 26 6 6.4162 -1.8520 4.2135 27 8 7.6097 -1.7095 4.3367 28 8 5.6706 -2.2123 5.2699 29 6 6.3651 -2.4130 6.5292 30 1 -0.3632 0.6000 0.8343 31 1 -0.3633 0.4225 -0.9367 32 1 -0.3633 -1.0225 0.1025 33 1 1.8933 -0.5139 -0.8901 34 1 1.8934 -0.5139 0.8900 35 1 1.8024 1.6091 -2.1367 36 1 0.4409 2.2612 -1.1924 37 1 1.8944 4.1214 -0.4048 38 1 1.7677 4.0979 -2.1799 39 1 4.1150 4.4367 -1.4833 40 1 3.9285 2.8681 -2.3051 41 1 4.0353 3.3448 0.7093 42 1 5.2799 2.5483 -0.2854 43 1 5.9246 1.7285 -1.4307 44 1 7.3807 0.7626 -1.0916 45 1 5.9944 0.0202 -1.9256 46 1 8.9785 -3.3877 0.0014 47 1 7.5681 -2.0256 1.7643 48 1 7.3210 -0.3111 2.1740 49 1 5.0264 -0.8292 2.9583 50 1 5.2735 -2.5437 2.5487 51 1 5.6478 -2.6999 7.2980 52 1 7.1082 -3.2017 6.4125 53 1 6.8606 -1.4874 6.8223 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 ZINC000879475211.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 06:09:18 Heat of formation + Delta-G solvation = -90.080630 kcal Electronic energy + Delta-G solvation = -32561.017260 eV Core-core repulsion = 28434.148812 eV Total energy + Delta-G solvation = -4126.868448 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.90 seconds Orbital eigenvalues (eV) -40.22089 -39.83091 -37.29119 -36.14622 -35.53580 -34.10675 -32.65961 -31.62554 -31.30782 -29.33241 -28.45953 -27.13312 -25.48801 -24.60643 -23.98587 -23.06386 -21.62101 -20.94384 -20.44540 -19.70166 -18.47137 -17.19263 -16.63404 -16.09241 -15.98395 -15.93062 -15.36421 -14.98581 -14.79061 -14.49363 -14.36819 -13.96592 -13.77789 -13.54373 -13.37411 -13.17133 -12.92470 -12.83282 -12.66962 -12.30344 -11.99592 -11.90361 -11.84908 -11.64204 -11.58001 -11.45018 -11.16874 -10.96522 -10.92427 -10.87196 -10.80595 -10.60414 -10.47771 -10.41488 -10.30898 -10.26770 -10.03867 -9.89137 -9.74130 -9.65311 -8.58060 -8.23539 -8.06936 -6.52191 -5.67814 -3.43153 2.84396 3.25676 3.38478 3.41218 3.46006 3.48184 3.53110 4.50476 4.74020 4.82570 4.86297 5.09678 5.21032 5.25462 5.32569 5.35414 5.37902 5.38932 5.45738 5.54091 5.55395 5.57021 5.63353 5.74434 5.78256 5.79105 5.87629 5.92042 5.94380 5.95767 6.04634 6.07892 6.08717 6.10344 6.27411 6.30249 6.32475 6.43926 6.57907 6.64045 6.67816 6.78995 6.87602 7.09258 7.10310 7.15106 7.83865 7.98365 8.07634 8.35279 8.64958 9.05285 9.25382 9.79559 10.36228 11.27068 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008584 B = 0.004434 C = 0.003611 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3260.960792 B = 6313.502636 C = 7753.015124 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.159 4.159 2 C -0.109 4.109 3 C 0.149 3.851 4 H 0.059 0.941 5 C -0.131 4.131 6 C -0.118 4.118 7 C -0.135 4.135 8 C 0.100 3.900 9 N -0.622 5.622 10 C 0.494 3.506 11 O -0.507 6.507 12 C 0.154 3.846 13 H 0.069 0.931 14 C -0.148 4.148 15 N -0.555 5.555 16 C -0.240 4.240 17 H 0.073 0.927 18 C 0.011 3.989 19 N -0.895 5.895 20 Si 0.901 3.099 21 H -0.276 1.276 22 H -0.289 1.289 23 H -0.290 1.290 24 C 0.144 3.856 25 C -0.126 4.126 26 C 0.461 3.539 27 O -0.508 6.508 28 O -0.370 6.370 29 C 0.035 3.965 30 H 0.045 0.955 31 H 0.047 0.953 32 H 0.052 0.948 33 H 0.077 0.923 34 H 0.085 0.915 35 H 0.065 0.935 36 H 0.068 0.932 37 H 0.060 0.940 38 H 0.059 0.941 39 H 0.070 0.930 40 H 0.068 0.932 41 H 0.058 0.942 42 H 0.099 0.901 43 H 0.046 0.954 44 H 0.063 0.937 45 H 0.065 0.935 46 H 0.255 0.745 47 H 0.133 0.867 48 H 0.028 0.972 49 H 0.077 0.923 50 H 0.102 0.898 51 H 0.092 0.908 52 H 0.059 0.941 53 H 0.057 0.943 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.121 11.911 2.698 15.861 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 -0.217 4.217 2 C -0.146 4.146 3 C 0.045 3.955 4 H 0.077 0.923 5 C -0.170 4.170 6 C -0.155 4.155 7 C -0.174 4.174 8 C -0.024 4.024 9 N -0.360 5.360 10 C 0.281 3.719 11 O -0.380 6.380 12 C 0.042 3.958 13 H 0.087 0.913 14 C -0.206 4.206 15 N -0.273 5.273 16 C -0.370 4.370 17 H 0.090 0.910 18 C -0.187 4.187 19 N -0.538 5.538 20 Si 0.730 3.270 21 H -0.200 1.200 22 H -0.216 1.216 23 H -0.217 1.217 24 C 0.018 3.982 25 C -0.167 4.167 26 C 0.304 3.696 27 O -0.395 6.395 28 O -0.288 6.288 29 C -0.060 4.060 30 H 0.065 0.935 31 H 0.066 0.934 32 H 0.071 0.929 33 H 0.095 0.905 34 H 0.103 0.897 35 H 0.084 0.916 36 H 0.087 0.913 37 H 0.079 0.921 38 H 0.078 0.922 39 H 0.088 0.912 40 H 0.086 0.914 41 H 0.076 0.924 42 H 0.116 0.884 43 H 0.064 0.936 44 H 0.082 0.918 45 H 0.084 0.916 46 H 0.066 0.934 47 H 0.150 0.850 48 H 0.047 0.953 49 H 0.095 0.905 50 H 0.120 0.880 51 H 0.111 0.889 52 H 0.077 0.923 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -9.860 11.209 2.762 15.182 hybrid contribution -0.115 -0.621 -0.326 0.710 sum -9.975 10.588 2.436 14.750 Atomic orbital electron populations 1.22006 0.97766 1.01262 1.00675 1.22035 0.92769 0.94351 1.05471 1.21213 0.80393 0.97319 0.96554 0.92325 1.22032 0.99949 0.95978 0.99026 1.21497 0.95495 0.96980 1.01547 1.21918 0.96002 1.00509 0.98931 1.21880 0.98366 0.84968 0.97149 1.48477 1.05448 1.07040 1.75005 1.22653 0.91848 0.82680 0.74742 1.90674 1.69652 1.30185 1.47493 1.20407 0.88334 0.90237 0.96846 0.91303 1.22145 1.01618 0.99075 0.97776 1.43587 1.67459 1.03142 1.13077 1.19235 0.96639 1.03779 1.17313 0.90974 1.25468 0.94914 1.00127 0.98229 1.69600 1.03951 1.38017 1.42273 0.86232 0.77628 0.82055 0.81039 1.20046 1.21593 1.21656 1.21348 0.93326 1.02414 0.81089 1.22424 1.02470 1.04240 0.87553 1.24608 0.86416 0.72155 0.86402 1.90623 1.16525 1.47427 1.84923 1.86589 1.42845 1.80184 1.19165 1.23118 0.97887 1.01620 0.83339 0.93541 0.93354 0.92887 0.90483 0.89698 0.91602 0.91305 0.92144 0.92177 0.91166 0.91358 0.92355 0.88351 0.93590 0.91792 0.91610 0.93435 0.84979 0.95333 0.90453 0.88029 0.88918 0.92264 0.92446 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 -0.16 -1.93 9.39 37.16 0.35 -1.58 16 2 C -0.11 -1.66 3.87 -26.73 -0.10 -1.76 16 3 C 0.15 1.99 3.01 -67.59 -0.20 1.79 16 4 H 0.06 0.75 8.14 -51.93 -0.42 0.32 16 5 C -0.13 -1.46 4.85 -26.61 -0.13 -1.59 16 6 C -0.12 -1.11 5.88 -26.69 -0.16 -1.27 16 7 C -0.14 -1.34 6.05 -26.61 -0.16 -1.50 16 8 C 0.10 1.16 5.61 -3.71 -0.02 1.14 16 9 N -0.62 -9.22 2.97 -165.22 -0.49 -9.71 16 10 C 0.49 9.28 6.90 -10.98 -0.08 9.21 16 11 O -0.51 -11.13 10.15 5.56 0.06 -11.07 16 12 C 0.15 3.00 2.33 -69.08 -0.16 2.84 16 13 H 0.07 1.23 7.27 -51.93 -0.38 0.85 16 14 C -0.15 -2.66 8.63 37.16 0.32 -2.34 16 15 N -0.56 -13.12 2.19 -166.98 -0.37 -13.48 16 16 C -0.24 -6.33 7.60 -15.06 -0.11 -6.44 16 17 H 0.07 2.02 6.68 -52.49 -0.35 1.67 16 18 C 0.01 0.31 5.35 -17.43 -0.09 0.22 16 19 N -0.89 -25.19 10.71 55.49 0.59 -24.59 16 20 Si 0.90 21.81 29.55 -169.99 -5.02 16.79 16 21 H -0.28 -6.67 7.11 56.52 0.40 -6.26 16 22 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 23 H -0.29 -7.10 7.11 56.52 0.40 -6.69 16 24 C 0.14 3.40 4.58 -4.04 -0.02 3.39 16 25 C -0.13 -2.64 6.13 -27.88 -0.17 -2.81 16 26 C 0.46 9.27 7.96 36.01 0.29 9.56 16 27 O -0.51 -11.37 15.73 -18.75 -0.29 -11.67 16 28 O -0.37 -6.48 10.57 -39.27 -0.41 -6.89 16 29 C 0.03 0.46 10.56 101.05 1.07 1.53 16 30 H 0.05 0.51 8.14 -51.93 -0.42 0.08 16 31 H 0.05 0.53 6.89 -51.93 -0.36 0.17 16 32 H 0.05 0.65 8.14 -51.93 -0.42 0.22 16 33 H 0.08 1.38 6.96 -51.92 -0.36 1.02 16 34 H 0.08 1.53 6.53 -51.93 -0.34 1.19 16 35 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 36 H 0.07 0.68 6.90 -51.93 -0.36 0.32 16 37 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 38 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 39 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 40 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 41 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 42 H 0.10 1.17 4.03 -51.93 -0.21 0.96 16 43 H 0.05 0.65 5.37 -51.93 -0.28 0.38 16 44 H 0.06 1.22 8.14 -51.93 -0.42 0.79 16 45 H 0.06 1.34 7.52 -51.93 -0.39 0.95 16 46 H 0.25 7.02 8.31 -40.82 -0.34 6.68 16 47 H 0.13 3.63 5.03 -51.93 -0.26 3.36 16 48 H 0.03 0.65 7.83 -51.93 -0.41 0.25 16 49 H 0.08 1.52 8.14 -51.93 -0.42 1.09 16 50 H 0.10 2.26 8.14 -51.93 -0.42 1.83 16 51 H 0.09 0.91 8.14 -51.93 -0.42 0.49 16 52 H 0.06 0.79 8.13 -51.93 -0.42 0.37 16 53 H 0.06 0.73 8.13 -51.93 -0.42 0.31 16 LS Contribution 403.31 15.07 6.08 6.08 Total: -1.00 -30.77 403.31 -8.41 -39.18 By element: Atomic # 1 Polarization: 14.16 SS G_CDS: -9.17 Total: 5.00 kcal Atomic # 6 Polarization: 9.75 SS G_CDS: 0.61 Total: 10.37 kcal Atomic # 7 Polarization: -47.52 SS G_CDS: -0.26 Total: -47.79 kcal Atomic # 8 Polarization: -28.98 SS G_CDS: -0.65 Total: -29.63 kcal Atomic # 14 Polarization: 21.81 SS G_CDS: -5.02 Total: 16.79 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -30.77 -8.41 -39.18 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. ZINC000879475211.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 -50.898 kcal (2) G-P(sol) polarization free energy of solvation -30.769 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -81.667 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.414 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.183 kcal (6) G-S(sol) free energy of system = (1) + (5) -90.081 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds