Wall clock time and date at job start Tue Mar 31 2020 21:06:27 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 N 2 2 C 1.31624 * 1 3 3 Si 1.86800 * 120.00278 * 2 1 4 4 H 1.48489 * 109.47031 * 239.99624 * 3 2 1 5 5 H 1.48498 * 109.46961 * 359.97438 * 3 2 1 6 6 H 1.48500 * 109.47001 * 119.99247 * 3 2 1 7 7 C 1.38811 * 119.99551 * 179.97438 * 2 1 3 8 8 H 1.08002 * 120.00057 * 180.02562 * 7 2 1 9 9 N 1.36938 * 120.00054 * 0.02562 * 7 2 1 10 10 C 1.47136 * 125.58996 * 0.02562 * 9 7 2 11 11 C 1.54597 * 107.36670 * 180.66450 * 10 9 7 12 12 C 1.53656 * 102.73161 * 20.75459 * 11 10 9 13 13 C 1.52374 * 116.39644 * 197.07935 * 12 11 10 14 14 N 1.47894 * 85.58872 * 218.64753 * 13 12 11 15 15 C 1.34774 * 134.33987 * 203.44249 * 14 13 12 16 16 O 1.21283 * 119.99681 * 180.02562 * 15 14 13 17 17 C 1.50697 * 120.00345 * 0.06152 * 15 14 13 18 18 H 1.09001 * 109.47045 * 345.00143 * 17 15 14 19 19 F 1.39906 * 109.46893 * 105.00071 * 17 15 14 20 20 C 1.52998 * 109.47608 * 225.00297 * 17 15 14 21 21 C 1.53001 * 109.47277 * 175.00259 * 20 17 15 22 22 C 1.53006 * 109.46857 * 294.99503 * 21 20 17 23 23 C 1.52997 * 109.46628 * 180.02562 * 22 21 20 24 24 C 1.52991 * 109.47406 * 60.00508 * 23 22 21 25 25 C 1.52998 * 109.47239 * 299.99478 * 24 23 22 26 26 C 1.52998 * 109.46812 * 174.99976 * 21 20 17 27 27 C 1.47889 * 91.31509 * 23.48730 * 14 13 12 28 28 C 1.47729 * 125.58517 * 179.71795 * 9 7 2 29 29 H 0.97006 * 119.99721 * 0.02562 * 1 2 3 30 30 H 1.09005 * 109.86551 * 300.10816 * 10 9 7 31 31 H 1.08999 * 109.86401 * 61.07922 * 10 9 7 32 32 H 1.08999 * 110.75884 * 139.05990 * 11 10 9 33 33 H 1.08994 * 110.76046 * 262.26004 * 11 10 9 34 34 H 1.08995 * 113.85561 * 332.81627 * 13 12 11 35 35 H 1.09003 * 113.85353 * 104.48465 * 13 12 11 36 36 H 1.09005 * 109.46623 * 294.99974 * 20 17 15 37 37 H 1.08997 * 109.47112 * 54.99739 * 20 17 15 38 38 H 1.08998 * 109.47384 * 55.00000 * 21 20 17 39 39 H 1.09001 * 109.47045 * 300.00363 * 22 21 20 40 40 H 1.09000 * 109.46512 * 60.00509 * 22 21 20 41 41 H 1.09001 * 109.47503 * 299.99837 * 23 22 21 42 42 H 1.09002 * 109.46654 * 180.02562 * 23 22 21 43 43 H 1.08998 * 109.47365 * 179.97438 * 24 23 22 44 44 H 1.09002 * 109.47755 * 59.99562 * 24 23 22 45 45 H 1.08998 * 109.47300 * 300.00614 * 25 24 23 46 46 H 1.08999 * 109.47831 * 179.97438 * 25 24 23 47 47 H 1.09002 * 109.47546 * 299.99776 * 26 21 20 48 48 H 1.09002 * 109.47824 * 59.99779 * 26 21 20 49 49 H 1.09000 * 113.85076 * 222.34692 * 27 14 13 50 50 H 1.09001 * 113.85367 * 90.67935 * 27 14 13 51 51 H 1.09007 * 110.39933 * 276.60127 * 28 9 7 52 52 H 1.08995 * 110.40116 * 39.00987 * 28 9 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2503 1.6177 0.0000 4 1 3.1041 1.6962 -1.2124 5 1 1.2854 2.7464 -0.0006 6 1 3.1039 1.6964 1.2126 7 6 2.0102 -1.2022 0.0005 8 1 3.0902 -1.2023 0.0010 9 7 1.3254 -2.3881 0.0005 10 6 -0.1389 -2.5313 -0.0005 11 6 -0.4546 -4.0446 0.0170 12 6 0.8472 -4.6558 0.5580 13 6 1.0381 -6.1508 0.3337 14 7 1.6262 -6.1634 1.6906 15 6 2.4857 -6.9755 2.3372 16 8 2.8015 -6.7351 3.4833 17 6 3.0551 -8.1818 1.6360 18 1 2.4738 -8.3875 0.7371 19 9 4.3857 -7.9315 1.2838 20 6 2.9938 -9.3914 2.5708 21 6 3.4554 -10.6412 1.8186 22 6 2.4689 -10.9510 0.6908 23 6 2.9302 -12.2012 -0.0610 24 6 2.9877 -13.3855 0.9058 25 6 3.9740 -13.0758 2.0337 26 6 3.5133 -11.8258 2.7852 27 6 0.8950 -4.9309 2.0559 28 6 1.9360 -3.7333 -0.0048 29 1 -0.4850 0.8401 -0.0004 30 1 -0.5583 -2.0551 0.8858 31 1 -0.5551 -2.0743 -0.8984 32 1 -1.2884 -4.2576 0.6859 33 1 -0.6659 -4.4069 -0.9890 34 1 0.1043 -6.7072 0.2528 35 1 1.7490 -6.3907 -0.4571 36 1 3.6457 -9.2216 3.4278 37 1 1.9695 -9.5324 2.9158 38 1 4.4456 -10.4670 1.3977 39 1 1.4787 -11.1252 1.1118 40 1 2.4278 -10.1070 0.0022 41 1 3.9205 -12.0274 -0.4820 42 1 2.2277 -12.4216 -0.8648 43 1 3.3159 -14.2763 0.3702 44 1 1.9974 -13.5594 1.3268 45 1 4.9643 -12.9019 1.6128 46 1 4.0147 -13.9194 2.7228 47 1 4.2159 -11.6052 3.5887 48 1 2.5231 -12.0001 3.2062 49 1 1.4935 -4.2133 2.6170 50 1 -0.0826 -5.1142 2.5018 51 1 2.1960 -4.0285 -1.0215 52 1 2.8183 -3.7526 0.6347 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) 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=-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 ZINC001073129113.mol2 52 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 21:06:27 Heat of formation + Delta-G solvation = -50.014049 kcal Electronic energy + Delta-G solvation = -30251.500363 eV Core-core repulsion = 26166.053600 eV Total energy + Delta-G solvation = -4085.446763 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 0.89 seconds Orbital eigenvalues (eV) -47.95551 -40.58787 -39.13916 -38.23871 -35.65705 -33.83162 -32.27765 -31.13755 -30.16445 -29.26262 -28.19205 -26.45927 -25.89757 -24.47526 -23.46399 -22.88054 -21.21965 -20.34009 -20.07941 -19.49447 -18.34607 -17.57511 -16.84753 -16.72144 -16.10233 -15.69838 -15.49075 -15.02865 -14.84900 -14.54498 -14.52289 -14.44546 -14.14455 -13.77649 -13.56434 -13.40423 -12.96723 -12.71253 -12.62677 -12.53975 -12.44004 -12.20439 -11.89246 -11.85649 -11.80659 -11.47195 -11.37285 -11.23862 -11.12575 -10.94667 -10.78888 -10.75430 -10.46071 -10.43040 -10.26600 -10.23321 -10.12648 -9.90744 -9.68800 -9.47769 -8.66394 -8.60746 -6.86106 -5.72795 -3.06324 2.44206 2.66054 3.41223 3.45511 3.46495 3.98699 4.15640 4.30356 4.37810 4.44213 4.47850 4.58325 4.62134 4.68439 4.90039 4.94190 5.03355 5.04483 5.13481 5.15874 5.17492 5.19315 5.32376 5.39732 5.41008 5.49534 5.53147 5.60090 5.63093 5.64784 5.67608 5.72249 5.79367 5.81520 5.85746 5.87802 5.91965 5.93788 6.02598 6.11631 6.15974 6.17334 6.42941 6.46072 6.63678 6.67583 7.53405 7.57305 7.66181 7.80396 8.01285 8.23502 9.20551 9.80025 10.44949 11.38807 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.025077 B = 0.002199 C = 0.002152 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1116.282732 B =12730.686322 C =13008.957469 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.923 5.923 2 C -0.008 4.008 3 Si 0.912 3.088 4 H -0.285 1.285 5 H -0.290 1.290 6 H -0.285 1.285 7 C -0.228 4.228 8 H 0.077 0.923 9 N -0.604 5.604 10 C 0.178 3.822 11 C -0.131 4.131 12 C -0.103 4.103 13 C 0.109 3.891 14 N -0.633 5.633 15 C 0.510 3.490 16 O -0.529 6.529 17 C 0.087 3.913 18 H 0.098 0.902 19 F -0.190 7.190 20 C -0.130 4.130 21 C -0.088 4.088 22 C -0.120 4.120 23 C -0.119 4.119 24 C -0.120 4.120 25 C -0.120 4.120 26 C -0.113 4.113 27 C 0.129 3.871 28 C 0.161 3.839 29 H 0.253 0.747 30 H 0.047 0.953 31 H 0.045 0.955 32 H 0.064 0.936 33 H 0.065 0.935 34 H 0.091 0.909 35 H 0.084 0.916 36 H 0.088 0.912 37 H 0.083 0.917 38 H 0.079 0.921 39 H 0.064 0.936 40 H 0.063 0.937 41 H 0.062 0.938 42 H 0.062 0.938 43 H 0.059 0.941 44 H 0.061 0.939 45 H 0.062 0.938 46 H 0.061 0.939 47 H 0.064 0.936 48 H 0.063 0.937 49 H 0.088 0.912 50 H 0.086 0.914 51 H 0.025 0.975 52 H 0.040 0.960 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.209 -26.431 0.539 26.464 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 N -0.570 5.570 2 C -0.204 4.204 3 Si 0.743 3.257 4 H -0.212 1.212 5 H -0.216 1.216 6 H -0.211 1.211 7 C -0.356 4.356 8 H 0.095 0.905 9 N -0.331 5.331 10 C 0.053 3.947 11 C -0.170 4.170 12 C -0.105 4.105 13 C -0.014 4.014 14 N -0.369 5.369 15 C 0.297 3.703 16 O -0.405 6.405 17 C 0.048 3.952 18 H 0.116 0.884 19 F -0.170 7.170 20 C -0.168 4.168 21 C -0.107 4.107 22 C -0.157 4.157 23 C -0.157 4.157 24 C -0.158 4.158 25 C -0.157 4.157 26 C -0.150 4.150 27 C 0.008 3.992 28 C 0.035 3.965 29 H 0.063 0.937 30 H 0.065 0.935 31 H 0.063 0.937 32 H 0.083 0.917 33 H 0.084 0.916 34 H 0.109 0.891 35 H 0.102 0.898 36 H 0.106 0.894 37 H 0.101 0.899 38 H 0.097 0.903 39 H 0.083 0.917 40 H 0.081 0.919 41 H 0.081 0.919 42 H 0.080 0.920 43 H 0.078 0.922 44 H 0.079 0.921 45 H 0.081 0.919 46 H 0.079 0.921 47 H 0.082 0.918 48 H 0.081 0.919 49 H 0.106 0.894 50 H 0.104 0.896 51 H 0.043 0.957 52 H 0.059 0.941 Dipole moment (debyes) X Y Z Total from point charges 1.501 -26.172 1.261 26.245 hybrid contribution 0.456 0.942 -0.083 1.050 sum 1.957 -25.230 1.179 25.333 Atomic orbital electron populations 1.69946 1.04841 1.25166 1.57062 1.24790 0.95745 0.97655 1.02180 0.86189 0.78459 0.83122 0.77945 1.21167 1.21598 1.21146 1.19003 0.90429 0.82325 1.43892 0.90522 1.44542 1.01612 0.99643 1.87292 1.21217 0.84262 0.87878 1.01318 1.22672 0.94565 0.99792 0.99938 1.22455 0.99922 0.93073 0.95013 1.23213 0.97754 0.96577 0.83845 1.50346 1.43212 1.27153 1.16149 1.20612 0.79764 0.83423 0.86499 1.90723 1.59810 1.72560 1.17389 1.21591 0.79851 0.94003 0.99755 0.88429 1.92881 1.35598 1.95381 1.93185 1.22098 1.04036 0.92108 0.98603 1.21177 1.00123 0.93597 0.95776 1.21696 0.98937 0.97865 0.97226 1.21517 1.01597 0.94779 0.97783 1.21541 0.99670 0.97819 0.96730 1.21524 0.99179 0.97538 0.97477 1.21544 1.01715 0.94122 0.97644 1.23030 0.95742 0.83543 0.96891 1.21054 0.93108 0.85507 0.96871 0.93701 0.93496 0.93684 0.91703 0.91612 0.89144 0.89758 0.89359 0.89882 0.90311 0.91709 0.91859 0.91894 0.91967 0.92197 0.92058 0.91940 0.92069 0.91754 0.91856 0.89351 0.89598 0.95711 0.94135 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 N -0.92 -26.66 10.30 55.49 0.57 -26.09 16 2 C -0.01 -0.21 5.49 -17.43 -0.10 -0.31 16 3 Si 0.91 22.14 29.55 -169.99 -5.02 17.12 16 4 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 5 H -0.29 -7.08 7.11 56.52 0.40 -6.67 16 6 H -0.28 -6.87 7.11 56.52 0.40 -6.47 16 7 C -0.23 -6.32 10.28 -15.06 -0.15 -6.47 16 8 H 0.08 2.07 7.83 -52.49 -0.41 1.66 16 9 N -0.60 -14.99 3.41 -170.50 -0.58 -15.57 16 10 C 0.18 4.07 5.39 -2.86 -0.02 4.06 16 11 C -0.13 -2.13 6.36 -25.55 -0.16 -2.30 16 12 C -0.10 -1.62 0.99 -154.85 -0.15 -1.77 16 13 C 0.11 1.28 7.53 -3.60 -0.03 1.25 16 14 N -0.63 -9.16 3.62 -186.90 -0.68 -9.83 16 15 C 0.51 7.84 7.40 -10.99 -0.08 7.76 16 16 O -0.53 -10.13 17.33 5.56 0.10 -10.03 16 17 C 0.09 1.02 3.56 -27.89 -0.10 0.92 16 18 H 0.10 0.89 5.68 -51.93 -0.29 0.60 16 19 F -0.19 -2.65 16.66 2.25 0.04 -2.61 16 20 C -0.13 -1.28 4.16 -26.73 -0.11 -1.39 16 21 C -0.09 -0.70 2.15 -90.62 -0.20 -0.90 16 22 C -0.12 -0.83 4.97 -26.73 -0.13 -0.96 16 23 C -0.12 -0.76 5.92 -26.74 -0.16 -0.92 16 24 C -0.12 -0.72 5.92 -26.74 -0.16 -0.88 16 25 C -0.12 -0.75 5.92 -26.75 -0.16 -0.91 16 26 C -0.11 -0.80 5.20 -26.75 -0.14 -0.94 16 27 C 0.13 2.03 8.14 -3.60 -0.03 2.00 16 28 C 0.16 3.21 6.63 -3.16 -0.02 3.19 16 29 H 0.25 7.13 8.31 -40.82 -0.34 6.79 16 30 H 0.05 1.20 7.40 -51.93 -0.38 0.82 16 31 H 0.04 1.15 7.47 -51.93 -0.39 0.76 16 32 H 0.06 0.93 7.99 -51.93 -0.41 0.51 16 33 H 0.07 0.97 8.14 -51.93 -0.42 0.55 16 34 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 35 H 0.08 0.89 8.12 -51.93 -0.42 0.47 16 36 H 0.09 0.99 8.05 -51.93 -0.42 0.57 16 37 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 38 H 0.08 0.70 7.82 -51.93 -0.41 0.30 16 39 H 0.06 0.43 8.14 -51.93 -0.42 0.00 16 40 H 0.06 0.44 6.46 -51.93 -0.34 0.10 16 41 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 42 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 43 H 0.06 0.33 8.14 -51.93 -0.42 -0.10 16 44 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 45 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 46 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 47 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 49 H 0.09 1.63 8.12 -51.93 -0.42 1.20 16 50 H 0.09 1.18 8.04 -51.93 -0.42 0.77 16 51 H 0.03 0.49 8.14 -51.92 -0.42 0.06 16 52 H 0.04 0.85 8.07 -51.93 -0.42 0.44 16 LS Contribution 403.42 15.07 6.08 6.08 Total: -1.00 -32.24 403.42 -10.75 -42.99 By element: Atomic # 1 Polarization: 5.87 SS G_CDS: -9.36 Total: -3.50 kcal Atomic # 6 Polarization: 3.34 SS G_CDS: -1.89 Total: 1.45 kcal Atomic # 7 Polarization: -50.81 SS G_CDS: -0.69 Total: -51.50 kcal Atomic # 8 Polarization: -10.13 SS G_CDS: 0.10 Total: -10.03 kcal Atomic # 9 Polarization: -2.65 SS G_CDS: 0.04 Total: -2.61 kcal Atomic # 14 Polarization: 22.14 SS G_CDS: -5.02 Total: 17.12 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -32.24 -10.75 -42.99 kcal The number of atoms in the molecule is 52 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. ZINC001073129113.mol2 52 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 -7.023 kcal (2) G-P(sol) polarization free energy of solvation -32.239 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -39.262 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.752 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.991 kcal (6) G-S(sol) free energy of system = (1) + (5) -50.014 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.89 seconds