Wall clock time and date at job start Tue Mar 31 2020 20:12:30 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 1.52997 * 1 3 3 H 1.09004 * 109.47127 * 2 1 4 4 C 1.53002 * 109.47224 * 240.00649 * 2 1 3 5 5 C 1.52997 * 109.47224 * 179.97438 * 4 2 1 6 6 C 1.52993 * 109.47401 * 59.99793 * 5 4 2 7 7 C 1.53002 * 109.47100 * 300.00282 * 6 5 4 8 8 H 1.09005 * 109.46688 * 299.99367 * 7 6 5 9 9 N 1.46507 * 109.47143 * 179.97438 * 7 6 5 10 10 C 1.34778 * 119.99747 * 84.99466 * 9 7 6 11 11 O 1.21349 * 120.00405 * 0.02562 * 10 9 7 12 12 C 1.49456 * 119.99580 * 180.27701 * 10 9 7 13 13 O 1.21344 * 119.99987 * 6.46899 * 12 10 9 14 14 N 1.34774 * 119.99633 * 186.47527 * 12 10 9 15 15 C 1.46918 * 120.63312 * 8.41853 * 14 12 10 16 16 C 1.53630 * 108.54113 * 126.37387 * 15 14 12 17 17 C 1.53040 * 109.24156 * 54.85706 * 16 15 14 18 18 C 1.50700 * 109.45698 * 178.48969 * 17 16 15 19 19 H 1.07997 * 119.99854 * 120.06992 * 18 17 16 20 20 C 1.37871 * 120.00115 * 300.06868 * 18 17 16 21 21 N 1.31512 * 120.00557 * 359.97438 * 20 18 17 22 22 Si 1.86807 * 120.00121 * 180.02562 * 20 18 17 23 23 H 1.48493 * 109.47397 * 89.99536 * 22 20 18 24 24 H 1.48501 * 109.47143 * 209.99929 * 22 20 18 25 25 H 1.48504 * 109.47047 * 329.99738 * 22 20 18 26 26 C 1.53037 * 109.53597 * 298.50905 * 17 16 15 27 27 C 1.46924 * 120.62782 * 188.70605 * 14 12 10 28 28 C 1.52990 * 109.47435 * 59.99794 * 7 6 5 29 29 H 1.09001 * 109.47543 * 180.02562 * 28 7 6 30 30 C 1.53004 * 109.47286 * 60.00085 * 28 7 6 31 31 H 1.09004 * 109.47127 * 180.02562 * 1 2 3 32 32 H 1.09004 * 109.46896 * 299.99214 * 1 2 3 33 33 H 1.08998 * 109.47390 * 59.99152 * 1 2 3 34 34 H 1.08994 * 109.46861 * 59.99342 * 4 2 1 35 35 H 1.09005 * 109.46688 * 300.00242 * 4 2 1 36 36 H 1.08994 * 109.47042 * 299.99517 * 5 4 2 37 37 H 1.09004 * 109.46896 * 180.02562 * 5 4 2 38 38 H 1.08999 * 109.47214 * 179.97438 * 6 5 4 39 39 H 1.09004 * 109.47341 * 59.99689 * 6 5 4 40 40 H 0.96993 * 119.99937 * 264.99910 * 9 7 6 41 41 H 1.08997 * 109.59060 * 246.20185 * 15 14 12 42 42 H 1.09000 * 109.58823 * 6.63414 * 15 14 12 43 43 H 1.08999 * 109.63367 * 294.86115 * 16 15 14 44 44 H 1.09004 * 109.45632 * 174.74343 * 16 15 14 45 45 H 1.09001 * 109.45844 * 58.53542 * 17 16 15 46 46 H 0.96996 * 120.00635 * 180.02562 * 21 20 18 47 47 H 1.08995 * 109.50125 * 301.41577 * 26 17 16 48 48 H 1.09006 * 109.52107 * 181.33496 * 26 17 16 49 49 H 1.09009 * 109.58581 * 353.36882 * 27 14 12 50 50 H 1.08995 * 109.59027 * 113.64757 * 27 14 12 51 51 H 1.08999 * 109.47098 * 60.00302 * 30 28 7 52 52 H 1.08999 * 109.47110 * 179.97438 * 30 28 7 53 53 H 1.09001 * 109.46861 * 300.00456 * 30 28 7 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 1.8933 1.0277 0.0000 4 6 2.0400 -0.7211 -1.2493 5 6 3.5700 -0.7206 -1.2497 6 6 4.0805 -1.4415 -0.0005 7 6 3.5705 -0.7204 1.2488 8 1 3.9336 0.3075 1.2486 9 7 4.0589 -1.4111 2.4449 10 6 5.2810 -1.1253 2.9363 11 8 5.9765 -0.2955 2.3883 12 6 5.7817 -1.8344 4.1530 13 8 5.1409 -2.7481 4.6294 14 7 6.9448 -1.4588 4.7209 15 6 7.6389 -0.2440 4.2726 16 6 7.9036 0.6470 5.4958 17 6 8.6651 -0.1584 6.5511 18 6 8.9598 0.7219 7.7382 19 1 8.5788 0.4584 8.7137 20 6 9.7160 1.8637 7.5789 21 7 10.1806 2.1845 6.3911 22 14 10.0820 2.9545 9.0506 23 1 11.3427 2.5084 9.6961 24 1 10.2278 4.3619 8.5995 25 1 8.9663 2.8605 10.0261 26 6 7.8144 -1.3493 6.9982 27 6 7.5459 -2.2599 5.7959 28 6 2.0406 -0.7209 1.2492 29 1 1.6772 -0.2068 2.1390 30 6 1.5311 -2.1636 1.2494 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5137 0.8901 33 1 -0.3634 0.5139 -0.8899 34 1 1.6766 -0.2072 -2.1392 35 1 1.6766 -1.7488 -1.2494 36 1 3.9329 0.3072 -1.2498 37 1 3.9333 -1.2339 -2.1400 38 1 5.1705 -1.4415 -0.0010 39 1 3.7176 -2.4693 -0.0003 40 1 3.5029 -2.0741 2.8831 41 1 8.5845 -0.5154 3.8034 42 1 7.0140 0.2911 3.5575 43 1 6.9558 0.9882 5.9124 44 1 8.4999 1.5085 5.1953 45 1 9.6014 -0.5200 6.1260 46 1 10.7129 2.9875 6.2791 47 1 6.8675 -0.9895 7.4006 48 1 8.3471 -1.9093 7.7669 49 1 6.8596 -3.0556 6.0861 50 1 8.4828 -2.6946 5.4475 51 1 1.8948 -2.6773 2.1393 52 1 0.4411 -2.1640 1.2501 53 1 1.8945 -2.6774 0.3594 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 ZINC001340187312.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 20:12:30 Heat of formation + Delta-G solvation = -85.799905 kcal Electronic energy + Delta-G solvation = -30552.305855 eV Core-core repulsion = 26616.079085 eV Total energy + Delta-G solvation = -3936.226770 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -40.93511 -39.80515 -38.16349 -36.95355 -34.81696 -33.41864 -32.89794 -31.21089 -30.83547 -30.01395 -27.79908 -26.57589 -26.07442 -24.57985 -22.72188 -22.36326 -22.13658 -21.11619 -20.20875 -19.16875 -18.56764 -17.30607 -16.81782 -16.35515 -15.97939 -15.73444 -15.41845 -15.29609 -14.72083 -14.54714 -14.42631 -14.10782 -13.84830 -13.63634 -13.24314 -13.03037 -12.90975 -12.84015 -12.67617 -12.59323 -12.30663 -12.27772 -11.90751 -11.74937 -11.69318 -11.47316 -11.33318 -11.02277 -10.95666 -10.84966 -10.70208 -10.60113 -10.46051 -10.41813 -10.35406 -10.05701 -9.68105 -9.25813 -9.19142 -9.15906 -8.56999 -8.33591 -8.05221 -5.99547 -4.06147 1.65950 2.55441 3.29988 3.37025 3.40246 3.44428 3.77521 4.27276 4.33057 4.43081 4.44628 4.59002 4.75619 4.81095 4.95827 4.99000 5.12334 5.14440 5.28213 5.30036 5.34055 5.38875 5.49079 5.57484 5.63002 5.65395 5.68427 5.74115 5.79007 5.85088 5.88326 5.94304 5.98649 6.02092 6.04057 6.09249 6.19427 6.26627 6.27100 6.45277 6.61848 6.73719 6.80396 7.00329 7.16068 7.19356 7.33260 7.68102 7.79502 7.92974 7.97554 8.09220 8.28551 8.43176 8.97131 9.58684 11.05837 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.019119 B = 0.002464 C = 0.002360 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1464.175590 B =11360.526601 C =11861.140419 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.084 4.084 3 H 0.073 0.927 4 C -0.118 4.118 5 C -0.116 4.116 6 C -0.132 4.132 7 C 0.148 3.852 8 H 0.092 0.908 9 N -0.701 5.701 10 C 0.510 3.490 11 O -0.505 6.505 12 C 0.499 3.501 13 O -0.546 6.546 14 N -0.562 5.562 15 C 0.065 3.935 16 C -0.122 4.122 17 C 0.046 3.954 18 C -0.512 4.512 19 H 0.054 0.946 20 C 0.061 3.939 21 N -0.890 5.890 22 Si 0.890 3.110 23 H -0.281 1.281 24 H -0.287 1.287 25 H -0.275 1.275 26 C -0.122 4.122 27 C 0.107 3.893 28 C -0.094 4.094 29 H 0.078 0.922 30 C -0.157 4.157 31 H 0.058 0.942 32 H 0.055 0.945 33 H 0.054 0.946 34 H 0.062 0.938 35 H 0.066 0.934 36 H 0.065 0.935 37 H 0.065 0.935 38 H 0.069 0.931 39 H 0.068 0.932 40 H 0.409 0.591 41 H 0.061 0.939 42 H 0.123 0.877 43 H 0.036 0.964 44 H 0.105 0.895 45 H 0.028 0.972 46 H 0.260 0.740 47 H 0.053 0.947 48 H 0.062 0.938 49 H 0.080 0.920 50 H 0.066 0.934 51 H 0.054 0.946 52 H 0.062 0.938 53 H 0.065 0.935 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.382 -7.033 -15.712 24.463 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 -0.206 4.206 2 C -0.103 4.103 3 H 0.092 0.908 4 C -0.155 4.155 5 C -0.154 4.154 6 C -0.171 4.171 7 C 0.044 3.956 8 H 0.110 0.890 9 N -0.355 5.355 10 C 0.292 3.708 11 O -0.381 6.381 12 C 0.281 3.719 13 O -0.425 6.425 14 N -0.293 5.293 15 C -0.055 4.055 16 C -0.160 4.160 17 C 0.027 3.973 18 C -0.551 4.551 19 H 0.073 0.927 20 C -0.140 4.140 21 N -0.529 5.529 22 Si 0.718 3.282 23 H -0.207 1.207 24 H -0.213 1.213 25 H -0.200 1.200 26 C -0.160 4.160 27 C -0.015 4.015 28 C -0.113 4.113 29 H 0.096 0.904 30 C -0.214 4.214 31 H 0.077 0.923 32 H 0.074 0.926 33 H 0.073 0.927 34 H 0.081 0.919 35 H 0.085 0.915 36 H 0.084 0.916 37 H 0.083 0.917 38 H 0.088 0.912 39 H 0.086 0.914 40 H 0.247 0.753 41 H 0.080 0.920 42 H 0.140 0.860 43 H 0.055 0.945 44 H 0.123 0.877 45 H 0.046 0.954 46 H 0.070 0.930 47 H 0.072 0.928 48 H 0.081 0.919 49 H 0.098 0.902 50 H 0.084 0.916 51 H 0.073 0.927 52 H 0.081 0.919 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges -17.074 -6.760 -15.920 24.304 hybrid contribution 0.160 0.384 1.095 1.171 sum -16.914 -6.376 -14.826 23.378 Atomic orbital electron populations 1.21878 0.94929 1.02037 1.01739 1.21091 0.95663 0.99544 0.93972 0.90829 1.21674 0.95555 1.00958 0.97319 1.21479 0.95426 1.01144 0.97372 1.21966 1.01457 0.99806 0.93832 1.21075 0.93348 0.97463 0.83678 0.88985 1.45950 1.17074 1.43170 1.29279 1.20399 0.82248 0.82719 0.85458 1.90546 1.55097 1.32700 1.59745 1.19933 0.82553 0.84591 0.84846 1.90685 1.56517 1.31523 1.63805 1.48220 1.20617 1.25952 1.34527 1.23196 0.97803 0.84490 1.00018 1.22100 0.99819 1.00089 0.94036 1.18681 0.93261 0.90942 0.94398 1.21188 1.32037 1.07511 0.94331 0.92733 1.24965 0.95688 0.97653 0.95697 1.69843 1.35713 1.25778 1.21558 0.86621 0.78635 0.79879 0.83015 1.20737 1.21250 1.20016 1.22003 1.00849 0.97982 0.95164 1.21882 0.97453 0.94198 0.87943 1.21391 0.93480 0.97383 0.99017 0.90362 1.22040 1.01450 0.95712 1.02203 0.92274 0.92611 0.92654 0.91916 0.91531 0.91611 0.91673 0.91223 0.91355 0.75321 0.92034 0.85972 0.94523 0.87684 0.95436 0.92963 0.92842 0.91920 0.90150 0.91551 0.92660 0.91906 0.91621 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.15 -0.86 8.84 37.16 0.33 -0.53 16 2 C -0.08 -0.56 2.49 -90.62 -0.23 -0.79 16 3 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 4 C -0.12 -0.74 4.93 -26.73 -0.13 -0.88 16 5 C -0.12 -0.87 5.92 -26.74 -0.16 -1.03 16 6 C -0.13 -1.22 5.22 -26.73 -0.14 -1.36 16 7 C 0.15 1.49 2.15 -67.93 -0.15 1.34 16 8 H 0.09 1.07 7.58 -51.93 -0.39 0.68 16 9 N -0.70 -8.46 4.99 -54.23 -0.27 -8.73 16 10 C 0.51 8.02 7.71 -11.58 -0.09 7.93 16 11 O -0.51 -8.82 12.84 5.50 0.07 -8.75 16 12 C 0.50 8.91 7.73 -11.58 -0.09 8.82 16 13 O -0.55 -10.21 15.93 5.50 0.09 -10.12 16 14 N -0.56 -10.66 2.97 -173.01 -0.51 -11.17 16 15 C 0.07 1.31 6.01 -3.49 -0.02 1.29 16 16 C -0.12 -2.86 5.17 -26.38 -0.14 -2.99 16 17 C 0.05 1.11 2.06 -91.73 -0.19 0.93 16 18 C -0.51 -13.89 8.56 -34.44 -0.29 -14.18 16 19 H 0.05 1.47 7.74 -52.49 -0.41 1.06 16 20 C 0.06 1.67 5.30 -17.82 -0.09 1.57 16 21 N -0.89 -24.99 11.31 55.43 0.63 -24.36 16 22 Si 0.89 21.17 29.54 -169.99 -5.02 16.15 16 23 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 24 H -0.29 -6.78 7.11 56.52 0.40 -6.38 16 25 H -0.28 -6.50 7.11 56.52 0.40 -6.10 16 26 C -0.12 -2.53 5.30 -26.61 -0.14 -2.67 16 27 C 0.11 1.97 6.44 -3.71 -0.02 1.94 16 28 C -0.09 -0.72 2.41 -90.62 -0.22 -0.94 16 29 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 30 C -0.16 -1.07 7.97 37.16 0.30 -0.77 16 31 H 0.06 0.32 6.43 -51.93 -0.33 -0.02 16 32 H 0.05 0.33 8.14 -51.93 -0.42 -0.10 16 33 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 34 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 35 H 0.07 0.40 6.43 -51.93 -0.33 0.07 16 36 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 37 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 38 H 0.07 0.79 8.14 -51.93 -0.42 0.36 16 39 H 0.07 0.59 6.43 -51.93 -0.33 0.26 16 40 H 0.41 4.54 6.35 -40.82 -0.26 4.29 16 41 H 0.06 1.24 8.14 -51.93 -0.42 0.82 16 42 H 0.12 2.43 4.30 -54.85 -0.24 2.19 16 43 H 0.04 0.87 8.14 -51.93 -0.42 0.45 16 44 H 0.11 2.73 6.03 -51.93 -0.31 2.42 16 45 H 0.03 0.72 8.14 -51.93 -0.42 0.30 16 46 H 0.26 7.01 8.31 -40.82 -0.34 6.67 16 47 H 0.05 1.14 8.14 -51.93 -0.42 0.72 16 48 H 0.06 1.23 8.14 -51.93 -0.42 0.81 16 49 H 0.08 1.41 7.01 -51.92 -0.36 1.05 16 50 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 51 H 0.05 0.40 6.50 -51.93 -0.34 0.06 16 52 H 0.06 0.37 6.43 -51.93 -0.33 0.04 16 53 H 0.06 0.43 4.81 -51.93 -0.25 0.18 16 LS Contribution 391.45 15.07 5.90 5.90 Total: -1.00 -29.26 391.45 -9.54 -38.81 By element: Atomic # 1 Polarization: 13.54 SS G_CDS: -8.95 Total: 4.59 kcal Atomic # 6 Polarization: -0.83 SS G_CDS: -1.47 Total: -2.31 kcal Atomic # 7 Polarization: -44.11 SS G_CDS: -0.16 Total: -44.27 kcal Atomic # 8 Polarization: -19.03 SS G_CDS: 0.16 Total: -18.87 kcal Atomic # 14 Polarization: 21.17 SS G_CDS: -5.02 Total: 16.15 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -29.26 -9.54 -38.81 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. ZINC001340187312.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 -46.991 kcal (2) G-P(sol) polarization free energy of solvation -29.265 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -76.256 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.544 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.809 kcal (6) G-S(sol) free energy of system = (1) + (5) -85.800 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds