Wall clock time and date at job start Sat Apr 11 2020 06:12:11 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 N 1.46499 * 1 3 3 C 1.34774 * 120.00100 * 2 1 4 4 O 1.21595 * 119.99986 * 359.97438 * 3 2 1 5 5 N 1.34780 * 120.00476 * 180.02562 * 3 2 1 6 6 C 1.46495 * 120.00072 * 179.97438 * 5 3 2 7 7 C 1.53001 * 109.46648 * 184.28044 * 6 5 3 8 8 H 1.09002 * 109.46087 * 173.92105 * 7 6 5 9 9 C 1.53037 * 109.46413 * 293.89131 * 7 6 5 10 10 C 1.53121 * 109.31073 * 179.17622 * 9 7 6 11 11 C 1.53120 * 109.16038 * 302.40925 * 10 9 7 12 12 C 1.53038 * 109.31005 * 57.59304 * 11 10 9 13 13 N 1.46845 * 109.52544 * 300.84107 * 12 11 10 14 14 C 1.46898 * 110.99812 * 185.83592 * 13 12 11 15 15 C 1.52998 * 109.47095 * 69.39765 * 14 13 12 16 16 C 1.50702 * 109.47042 * 179.97438 * 15 14 13 17 17 O 1.21278 * 120.00242 * 0.02562 * 16 15 14 18 18 N 1.34777 * 119.99495 * 179.97438 * 16 15 14 19 19 C 1.46494 * 120.00511 * 0.02562 * 18 16 15 20 20 C 1.46503 * 119.99784 * 180.02562 * 18 16 15 21 21 C 1.50694 * 109.47444 * 90.00045 * 20 18 16 22 22 H 1.08008 * 119.99993 * 359.97438 * 21 20 18 23 23 C 1.37874 * 120.00321 * 180.02562 * 21 20 18 24 24 N 1.31517 * 120.00366 * 179.97438 * 23 21 20 25 25 Si 1.86803 * 119.99937 * 0.02562 * 23 21 20 26 26 H 1.48496 * 109.47346 * 90.00097 * 25 23 21 27 27 H 1.48503 * 109.47025 * 210.00006 * 25 23 21 28 28 H 1.48493 * 109.46926 * 329.99997 * 25 23 21 29 29 H 1.09002 * 109.46979 * 300.00170 * 1 2 3 30 30 H 1.08994 * 109.47259 * 60.00505 * 1 2 3 31 31 H 1.09000 * 109.46795 * 180.02562 * 1 2 3 32 32 H 0.97003 * 119.99971 * 179.97438 * 2 1 3 33 33 H 0.96996 * 119.99282 * 359.97438 * 5 3 2 34 34 H 1.09002 * 109.46980 * 64.28612 * 6 5 3 35 35 H 1.08993 * 109.47389 * 304.28044 * 6 5 3 36 36 H 1.08995 * 109.50774 * 299.14152 * 9 7 6 37 37 H 1.09003 * 109.49841 * 59.21840 * 9 7 6 38 38 H 1.08999 * 109.51935 * 62.27762 * 10 9 7 39 39 H 1.09001 * 109.51893 * 182.46800 * 10 9 7 40 40 H 1.08999 * 109.47369 * 297.65469 * 11 10 9 41 41 H 1.08997 * 109.50409 * 177.55826 * 11 10 9 42 42 H 1.08999 * 109.46276 * 180.81922 * 12 11 10 43 43 H 1.09009 * 109.45694 * 60.85935 * 12 11 10 44 44 H 1.09007 * 109.47101 * 189.39405 * 14 13 12 45 45 H 1.08996 * 109.47572 * 309.39129 * 14 13 12 46 46 H 1.08999 * 109.47055 * 299.99522 * 15 14 13 47 47 H 1.09004 * 109.46862 * 59.99870 * 15 14 13 48 48 H 1.08997 * 109.47494 * 89.99312 * 19 18 16 49 49 H 1.09000 * 109.47048 * 209.99811 * 19 18 16 50 50 H 1.09003 * 109.46786 * 329.99452 * 19 18 16 51 51 H 1.08996 * 109.47308 * 210.00381 * 20 18 16 52 52 H 1.09007 * 109.46732 * 330.00379 * 20 18 16 53 53 H 0.96998 * 120.00232 * 179.97438 * 24 23 21 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 7 1.4650 0.0000 0.0000 3 6 2.1389 1.1672 0.0000 4 8 1.5309 2.2202 -0.0005 5 7 3.4867 1.1673 -0.0005 6 6 4.2191 2.4360 -0.0011 7 6 5.7198 2.1583 -0.1093 8 1 6.2565 3.1008 -0.2184 9 6 6.1985 1.4426 1.1559 10 6 7.6963 1.1482 1.0351 11 6 7.9432 0.3052 -0.2191 12 6 7.4139 1.0540 -1.4444 13 7 5.9774 1.3104 -1.2802 14 6 5.4063 1.9045 -2.4963 15 6 5.3898 0.8605 -3.6146 16 6 4.8034 1.4698 -4.8619 17 8 4.4354 2.6254 -4.8571 18 7 4.6888 0.7307 -5.9832 19 6 5.1338 -0.6650 -5.9892 20 6 4.1193 1.3231 -7.1960 21 6 5.2206 1.9415 -8.0180 22 1 6.2426 1.8979 -7.6715 23 6 4.9234 2.5637 -9.2119 24 7 5.8845 3.1038 -9.9291 25 14 3.1555 2.6409 -9.8103 26 1 2.5112 3.8747 -9.2928 27 1 3.1357 2.6576 -11.2951 28 1 2.4142 1.4518 -9.3187 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5137 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 1.9500 -0.8401 0.0004 33 1 3.9716 0.3272 -0.0005 34 1 4.0149 2.9738 0.9248 35 1 3.8992 3.0398 -0.8502 36 1 6.0214 2.0787 2.0230 37 1 5.6520 0.5068 1.2734 38 1 8.2466 2.0858 0.9574 39 1 8.0317 0.5996 1.9152 40 1 7.4247 -0.6487 -0.1237 41 1 9.0126 0.1288 -0.3343 42 1 7.5754 0.4497 -2.3370 43 1 7.9427 2.0018 -1.5471 44 1 4.3880 2.2370 -2.2945 45 1 6.0125 2.7566 -2.8036 46 1 6.4080 0.5280 -3.8163 47 1 4.7835 0.0084 -3.3072 48 1 4.3064 -1.3115 -5.6968 49 1 5.4697 -0.9349 -6.9904 50 1 5.9567 -0.7870 -5.2848 51 1 3.6215 0.5487 -7.7794 52 1 3.3967 2.0913 -6.9202 53 1 5.6755 3.5412 -10.7692 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 ZINC000879336190.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 06:12:11 Heat of formation + Delta-G solvation = -60.056270 kcal Electronic energy + Delta-G solvation = -31276.249156 eV Core-core repulsion = 27182.975413 eV Total energy + Delta-G solvation = -4093.273743 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.65 seconds Orbital eigenvalues (eV) -40.39947 -39.44624 -38.79310 -35.10297 -34.99853 -34.50027 -34.24802 -32.54121 -31.45951 -30.38174 -28.30724 -27.48693 -26.00347 -25.60349 -24.81260 -22.90153 -21.80635 -21.16233 -21.06053 -19.68043 -18.71916 -18.34749 -16.95680 -16.93840 -16.25957 -16.05695 -15.43102 -15.41416 -15.35629 -15.01650 -14.70555 -14.58480 -14.37510 -14.02709 -13.91588 -13.77680 -13.32315 -13.25009 -13.03321 -12.60134 -12.40537 -12.36704 -12.29779 -12.19358 -12.08926 -11.99086 -11.77631 -11.46306 -11.37317 -11.18195 -10.95231 -10.86693 -10.52541 -10.45696 -10.34464 -10.28471 -10.12715 -9.53729 -9.38458 -8.98743 -8.87681 -8.58096 -8.49599 -7.68305 -6.08251 -4.06896 2.65318 3.19549 3.30277 3.36168 3.38210 3.38722 3.51233 4.01593 4.24426 4.40362 4.41032 4.47733 4.62405 4.85395 4.93135 5.01495 5.07813 5.13059 5.20744 5.22702 5.30036 5.34043 5.37202 5.40417 5.46290 5.53421 5.60881 5.62662 5.65323 5.66829 5.69710 5.80461 5.84166 5.84223 5.93938 6.01126 6.11593 6.16327 6.17035 6.30726 6.42570 6.70919 6.81700 6.92992 6.93763 6.97744 7.35569 7.62176 7.95433 8.27022 8.47815 8.56614 8.93349 9.01124 9.52362 11.05170 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.010278 B = 0.003104 C = 0.002599 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2723.643537 B = 9018.671572 C =10770.439220 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.108 3.892 2 N -0.753 5.753 3 C 0.700 3.300 4 O -0.594 6.594 5 N -0.730 5.730 6 C 0.142 3.858 7 C 0.072 3.928 8 H 0.059 0.941 9 C -0.109 4.109 10 C -0.122 4.122 11 C -0.116 4.116 12 C 0.051 3.949 13 N -0.533 5.533 14 C 0.065 3.935 15 C -0.129 4.129 16 C 0.506 3.494 17 O -0.542 6.542 18 N -0.599 5.599 19 C 0.085 3.915 20 C 0.215 3.785 21 C -0.528 4.528 22 H 0.073 0.927 23 C 0.072 3.928 24 N -0.898 5.898 25 Si 0.877 3.123 26 H -0.273 1.273 27 H -0.285 1.285 28 H -0.266 1.266 29 H 0.055 0.945 30 H 0.058 0.942 31 H 0.073 0.927 32 H 0.396 0.604 33 H 0.402 0.598 34 H 0.068 0.932 35 H 0.074 0.926 36 H 0.067 0.933 37 H 0.070 0.930 38 H 0.059 0.941 39 H 0.063 0.937 40 H 0.070 0.930 41 H 0.065 0.935 42 H 0.079 0.921 43 H 0.035 0.965 44 H 0.089 0.911 45 H 0.045 0.955 46 H 0.086 0.914 47 H 0.090 0.910 48 H 0.044 0.956 49 H 0.074 0.926 50 H 0.060 0.940 51 H 0.029 0.971 52 H 0.036 0.964 53 H 0.264 0.736 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.043 -12.410 25.172 28.065 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 -0.037 4.037 2 N -0.408 5.408 3 C 0.400 3.600 4 O -0.472 6.472 5 N -0.386 5.386 6 C 0.017 3.983 7 C -0.036 4.036 8 H 0.077 0.923 9 C -0.147 4.147 10 C -0.159 4.159 11 C -0.153 4.153 12 C -0.077 4.077 13 N -0.259 5.259 14 C -0.063 4.063 15 C -0.170 4.170 16 C 0.292 3.708 17 O -0.420 6.420 18 N -0.331 5.331 19 C -0.059 4.059 20 C 0.095 3.905 21 C -0.567 4.567 22 H 0.091 0.909 23 C -0.131 4.131 24 N -0.537 5.537 25 Si 0.704 3.296 26 H -0.199 1.199 27 H -0.211 1.211 28 H -0.191 1.191 29 H 0.074 0.926 30 H 0.077 0.923 31 H 0.092 0.908 32 H 0.229 0.771 33 H 0.237 0.763 34 H 0.086 0.914 35 H 0.092 0.908 36 H 0.086 0.914 37 H 0.088 0.912 38 H 0.078 0.922 39 H 0.082 0.918 40 H 0.089 0.911 41 H 0.084 0.916 42 H 0.098 0.902 43 H 0.053 0.947 44 H 0.107 0.893 45 H 0.063 0.937 46 H 0.104 0.896 47 H 0.109 0.891 48 H 0.062 0.938 49 H 0.093 0.907 50 H 0.078 0.922 51 H 0.047 0.953 52 H 0.054 0.946 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -1.014 -11.146 25.057 27.443 hybrid contribution 0.150 -0.013 -0.797 0.811 sum -0.864 -11.160 24.260 26.718 Atomic orbital electron populations 1.21362 0.78336 1.01754 1.02241 1.44878 1.07662 1.07177 1.81114 1.15996 0.81947 0.84191 0.77898 1.90941 1.68037 1.30361 1.57847 1.44884 1.04089 1.09933 1.79729 1.21310 0.89176 0.85428 1.02392 1.21909 0.94702 0.95609 0.91422 0.92348 1.21617 0.96042 1.00962 0.96068 1.21590 0.96118 1.00136 0.98106 1.21584 1.00470 0.99245 0.94040 1.22168 0.87374 0.99443 0.98737 1.61896 1.14027 1.46816 1.03125 1.21929 1.01359 0.95197 0.87808 1.21572 1.02294 0.99841 0.93254 1.20352 0.79546 0.86432 0.84461 1.90677 1.49742 1.17047 1.84520 1.47832 1.61574 1.11581 1.12130 1.21640 0.98486 0.82603 1.03171 1.19648 0.95117 0.94007 0.81775 1.21327 0.94924 1.36100 1.04312 0.90856 1.24863 0.97193 0.94621 0.96375 1.69897 1.32124 1.37361 1.14309 0.86839 0.85472 0.79363 0.77961 1.19869 1.21059 1.19075 0.92587 0.92343 0.90848 0.77088 0.76264 0.91381 0.90789 0.91385 0.91163 0.92192 0.91828 0.91134 0.91619 0.90226 0.94653 0.89295 0.93684 0.89575 0.89115 0.93754 0.90687 0.92160 0.95323 0.94606 0.92570 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.11 0.89 10.70 59.85 0.64 1.53 16 2 N -0.75 -6.80 5.72 -72.07 -0.41 -7.21 16 3 C 0.70 8.83 8.57 -86.92 -0.74 8.09 16 4 O -0.59 -10.34 16.34 5.28 0.09 -10.26 16 5 N -0.73 -7.25 5.13 -65.23 -0.33 -7.59 16 6 C 0.14 1.50 4.56 -4.04 -0.02 1.48 16 7 C 0.07 0.64 2.10 -67.72 -0.14 0.50 16 8 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 9 C -0.11 -0.74 5.26 -26.65 -0.14 -0.88 16 10 C -0.12 -0.78 6.00 -26.61 -0.16 -0.94 16 11 C -0.12 -0.79 6.09 -26.65 -0.16 -0.96 16 12 C 0.05 0.45 5.30 -3.83 -0.02 0.43 16 13 N -0.53 -5.17 3.92 -226.69 -0.89 -6.06 16 14 C 0.06 0.87 4.03 -3.83 -0.02 0.86 16 15 C -0.13 -1.81 4.26 -27.88 -0.12 -1.93 16 16 C 0.51 10.31 7.67 -10.98 -0.08 10.22 16 17 O -0.54 -13.56 15.56 5.56 0.09 -13.47 16 18 N -0.60 -12.43 2.86 -182.96 -0.52 -12.95 16 19 C 0.09 1.29 10.24 59.84 0.61 1.90 16 20 C 0.22 5.38 4.23 -5.19 -0.02 5.35 16 21 C -0.53 -15.41 9.94 -34.44 -0.34 -15.75 16 22 H 0.07 2.34 8.06 -52.48 -0.42 1.91 16 23 C 0.07 2.12 5.47 -17.82 -0.10 2.02 16 24 N -0.90 -28.01 13.96 55.43 0.77 -27.24 16 25 Si 0.88 21.97 27.47 -169.99 -4.67 17.30 16 26 H -0.27 -6.92 7.11 56.52 0.40 -6.52 16 27 H -0.28 -6.96 7.11 56.52 0.40 -6.56 16 28 H -0.27 -6.28 6.54 56.52 0.37 -5.91 16 29 H 0.06 0.49 8.14 -51.93 -0.42 0.06 16 30 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 31 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.40 2.32 8.84 -40.82 -0.36 1.96 16 33 H 0.40 3.15 7.31 -40.82 -0.30 2.85 16 34 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 35 H 0.07 0.99 6.40 -51.93 -0.33 0.66 16 36 H 0.07 0.43 8.14 -51.93 -0.42 0.00 16 37 H 0.07 0.45 7.15 -51.93 -0.37 0.08 16 38 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 39 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 40 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 41 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 42 H 0.08 0.73 6.37 -51.93 -0.33 0.40 16 43 H 0.04 0.35 8.14 -51.92 -0.42 -0.07 16 44 H 0.09 1.37 5.57 -51.93 -0.29 1.08 16 45 H 0.04 0.70 8.04 -51.93 -0.42 0.28 16 46 H 0.09 1.09 5.81 -51.93 -0.30 0.79 16 47 H 0.09 1.10 8.11 -51.93 -0.42 0.68 16 48 H 0.04 0.56 8.14 -51.93 -0.42 0.14 16 49 H 0.07 1.19 8.07 -51.93 -0.42 0.77 16 50 H 0.06 0.74 6.44 -51.93 -0.33 0.41 16 51 H 0.03 0.68 7.13 -51.93 -0.37 0.31 16 52 H 0.04 0.96 6.85 -51.93 -0.36 0.61 16 53 H 0.26 7.69 8.31 -40.82 -0.34 7.36 16 LS Contribution 412.31 15.07 6.21 6.21 Total: -1.00 -37.81 412.31 -9.75 -47.56 By element: Atomic # 1 Polarization: 11.03 SS G_CDS: -9.27 Total: 1.76 kcal Atomic # 6 Polarization: 12.74 SS G_CDS: -0.81 Total: 11.93 kcal Atomic # 7 Polarization: -59.66 SS G_CDS: -1.38 Total: -61.04 kcal Atomic # 8 Polarization: -23.90 SS G_CDS: 0.17 Total: -23.72 kcal Atomic # 14 Polarization: 21.97 SS G_CDS: -4.67 Total: 17.30 kcal Total LS contribution 6.21 Total: 6.21 kcal Total: -37.81 -9.75 -47.56 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. ZINC000879336190.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 -12.495 kcal (2) G-P(sol) polarization free energy of solvation -37.814 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.309 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.747 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -47.561 kcal (6) G-S(sol) free energy of system = (1) + (5) -60.056 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.65 seconds