Wall clock time and date at job start Sat Apr 11 2020 06:13:01 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 1.52994 * 1 3 3 O 1.42901 * 109.46942 * 2 1 4 4 C 1.42904 * 113.99972 * 180.02562 * 3 2 1 5 5 H 1.09001 * 109.52019 * 29.87156 * 4 3 2 6 6 C 1.53092 * 109.57140 * 269.71410 * 4 3 2 7 7 O 1.42895 * 109.41576 * 297.67029 * 6 4 3 8 8 C 1.42902 * 114.10026 * 298.84304 * 7 6 4 9 9 C 1.53089 * 109.41530 * 61.15991 * 8 7 6 10 10 C 1.53178 * 109.52338 * 149.99600 * 4 3 2 11 11 H 1.08999 * 109.54522 * 182.94031 * 10 4 3 12 12 N 1.46501 * 109.54543 * 303.12587 * 10 4 3 13 13 C 1.34773 * 119.99960 * 204.99877 * 12 10 4 14 14 O 1.21592 * 119.99974 * 5.07565 * 13 12 10 15 15 N 1.34781 * 120.00175 * 185.07131 * 13 12 10 16 16 C 1.46922 * 120.63092 * 174.96324 * 15 13 12 17 17 C 1.53193 * 108.77382 * 233.63195 * 16 15 13 18 18 C 1.53034 * 109.31198 * 305.36679 * 17 16 15 19 19 C 1.53003 * 109.45961 * 181.38790 * 18 17 16 20 20 C 1.50697 * 109.47175 * 174.97134 * 19 18 17 21 21 H 1.08002 * 120.00281 * 0.02562 * 20 19 18 22 22 C 1.37879 * 119.99725 * 179.72435 * 20 19 18 23 23 N 1.31515 * 120.00262 * 0.27408 * 22 20 19 24 24 Si 1.86806 * 119.99802 * 180.27838 * 22 20 19 25 25 H 1.48497 * 109.47195 * 359.97438 * 24 22 20 26 26 H 1.48496 * 109.47441 * 119.99854 * 24 22 20 27 27 H 1.48500 * 109.47026 * 239.99984 * 24 22 20 28 28 C 1.53032 * 109.52883 * 61.37163 * 18 17 16 29 29 C 1.46923 * 120.62776 * 354.98620 * 15 13 12 30 30 H 1.09004 * 109.47611 * 299.99661 * 1 2 3 31 31 H 1.08995 * 109.47652 * 60.00351 * 1 2 3 32 32 H 1.09005 * 109.47368 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47463 * 239.99600 * 2 1 3 34 34 H 1.09000 * 109.47286 * 119.99404 * 2 1 3 35 35 H 1.08998 * 109.48167 * 57.66016 * 6 4 3 36 36 H 1.09002 * 109.47405 * 177.68666 * 6 4 3 37 37 H 1.09004 * 109.48506 * 181.13912 * 8 7 6 38 38 H 1.09000 * 109.48208 * 301.16347 * 8 7 6 39 39 H 1.09000 * 109.53062 * 182.48780 * 9 8 7 40 40 H 1.09003 * 109.52721 * 62.29455 * 9 8 7 41 41 H 0.96998 * 119.99723 * 24.99513 * 12 10 4 42 42 H 1.09004 * 109.58574 * 113.84637 * 16 15 13 43 43 H 1.09001 * 109.58478 * 353.42104 * 16 15 13 44 44 H 1.09001 * 109.49668 * 185.41378 * 17 16 15 45 45 H 1.08999 * 109.52419 * 65.33759 * 17 16 15 46 46 H 1.09001 * 109.45977 * 301.35345 * 18 17 16 47 47 H 1.08999 * 109.47288 * 54.97006 * 19 18 17 48 48 H 1.08999 * 109.46854 * 294.97044 * 19 18 17 49 49 H 0.97002 * 119.99973 * 180.02562 * 23 22 20 50 50 H 1.09003 * 109.49850 * 58.58095 * 28 18 17 51 51 H 1.09002 * 109.49871 * 178.67234 * 28 18 17 52 52 H 1.08998 * 109.58579 * 246.15615 * 29 15 13 53 53 H 1.09007 * 109.58879 * 6.43825 * 29 15 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 1.5299 0.0000 0.0000 3 8 2.0062 1.3473 0.0000 4 6 3.4308 1.4602 -0.0006 5 1 3.8640 0.6009 -0.5126 6 6 3.9421 1.5076 1.4417 7 8 3.4186 2.6666 2.0933 8 6 3.8093 3.9017 1.4901 9 6 3.2927 3.9505 0.0498 10 6 3.8421 2.7470 -0.7225 11 1 4.9294 2.8075 -0.7690 12 7 3.2927 2.7441 -2.0806 13 6 3.8904 3.4638 -3.0508 14 8 4.9361 4.0410 -2.8231 15 7 3.3290 3.5437 -4.2736 16 6 3.9083 4.4114 -5.3080 17 6 2.8150 5.3446 -5.8377 18 6 1.6234 4.5099 -6.3125 19 6 0.5434 5.4366 -6.8742 20 6 -0.5757 4.6104 -7.4539 21 1 -0.5222 3.5321 -7.4242 22 6 -1.6708 5.2311 -8.0166 23 7 -1.7362 6.5441 -8.0522 24 14 -3.0616 4.2069 -8.7281 25 1 -2.7477 2.7647 -8.5654 26 1 -4.3246 4.5227 -8.0138 27 1 -3.2179 4.5192 -10.1715 28 6 1.0527 3.7169 -5.1346 29 6 2.1259 2.7650 -4.5972 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5137 -0.8899 32 1 -0.3634 -1.0277 0.0005 33 1 1.8933 -0.5139 -0.8899 34 1 1.8933 -0.5137 0.8900 35 1 3.6157 0.6134 1.9726 36 1 5.0312 1.5523 1.4398 37 1 3.3873 4.7323 2.0559 38 1 4.8967 3.9779 1.4891 39 1 3.6271 4.8723 -0.4263 40 1 2.2032 3.9153 0.0522 41 1 2.4989 2.2242 -2.2815 42 1 4.2939 3.8001 -6.1239 43 1 4.7168 5.0028 -4.8781 44 1 3.2065 5.9271 -6.6717 45 1 2.4940 6.0178 -5.0428 46 1 1.9504 3.8199 -7.0904 47 1 0.9733 6.0645 -7.6546 48 1 0.1534 6.0666 -6.0747 49 1 -2.5068 6.9808 -8.4478 50 1 0.7485 4.4051 -4.3460 51 1 0.1896 3.1407 -5.4681 52 1 2.3661 2.0194 -5.3551 53 1 1.7597 2.2679 -3.6988 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 ZINC000571637878.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 06:13:01 Heat of formation + Delta-G solvation = -133.285787 kcal Electronic energy + Delta-G solvation = -31505.959934 eV Core-core repulsion = 27377.217970 eV Total energy + Delta-G solvation = -4128.741964 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.61 seconds Orbital eigenvalues (eV) -40.73165 -39.68302 -37.51100 -37.45516 -35.10906 -34.01100 -32.38476 -31.82655 -31.38096 -30.50496 -29.88646 -27.96124 -25.30170 -24.19782 -23.78765 -23.08427 -22.84323 -21.80385 -20.61847 -20.02376 -19.17955 -18.03279 -17.10412 -16.96306 -16.43742 -16.28647 -15.96560 -15.62214 -15.32120 -14.93948 -14.62225 -14.50370 -14.33002 -14.00390 -13.66672 -13.56395 -13.38886 -13.08408 -12.96999 -12.77349 -12.70573 -12.40885 -12.22417 -12.05388 -11.82479 -11.60340 -11.54822 -11.19773 -11.06290 -10.97783 -10.95964 -10.81330 -10.69903 -10.47883 -10.32795 -10.10725 -9.98301 -9.64669 -9.48306 -9.29036 -9.10707 -8.95500 -8.36792 -8.23584 -6.00921 -4.02931 2.69344 3.17093 3.28875 3.31829 3.36929 3.39413 3.64724 3.93571 4.24739 4.44034 4.46027 4.50891 4.75862 4.82503 4.91518 4.98787 5.02012 5.03878 5.09016 5.16993 5.24970 5.31766 5.34028 5.37295 5.47492 5.48729 5.53524 5.61803 5.64658 5.69613 5.74648 5.76120 5.89198 6.00816 6.08594 6.12060 6.36946 6.39837 6.47314 6.51200 6.65548 6.75091 6.96685 6.98955 7.00186 7.10261 7.12100 7.66463 7.81200 7.99008 8.04130 8.41280 8.68706 9.03840 9.60922 11.10356 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012795 B = 0.002760 C = 0.002449 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2187.861871 B =10142.877085 C =11431.696404 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C 0.055 3.945 3 O -0.365 6.365 4 C 0.048 3.952 5 H 0.075 0.925 6 C 0.045 3.955 7 O -0.371 6.371 8 C 0.064 3.936 9 C -0.164 4.164 10 C 0.170 3.830 11 H 0.099 0.901 12 N -0.740 5.740 13 C 0.708 3.292 14 O -0.601 6.601 15 N -0.621 5.621 16 C 0.131 3.869 17 C -0.130 4.130 18 C -0.079 4.079 19 C 0.027 3.973 20 C -0.515 4.515 21 H 0.056 0.944 22 C 0.056 3.944 23 N -0.895 5.895 24 Si 0.888 3.112 25 H -0.273 1.273 26 H -0.285 1.285 27 H -0.285 1.285 28 C -0.118 4.118 29 C 0.110 3.890 30 H 0.064 0.936 31 H 0.066 0.934 32 H 0.070 0.930 33 H 0.048 0.952 34 H 0.047 0.953 35 H 0.097 0.903 36 H 0.062 0.938 37 H 0.098 0.902 38 H 0.052 0.948 39 H 0.079 0.921 40 H 0.083 0.917 41 H 0.400 0.600 42 H 0.061 0.939 43 H 0.085 0.915 44 H 0.070 0.930 45 H 0.060 0.940 46 H 0.058 0.942 47 H 0.016 0.984 48 H 0.015 0.985 49 H 0.259 0.741 50 H 0.059 0.941 51 H 0.083 0.917 52 H 0.065 0.935 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.154 -13.094 18.308 25.121 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 -0.209 4.209 2 C -0.022 4.022 3 O -0.284 6.284 4 C -0.011 4.011 5 H 0.093 0.907 6 C -0.033 4.033 7 O -0.289 6.289 8 C -0.013 4.013 9 C -0.203 4.203 10 C 0.064 3.936 11 H 0.117 0.883 12 N -0.398 5.398 13 C 0.410 3.590 14 O -0.480 6.480 15 N -0.358 5.358 16 C 0.008 3.992 17 C -0.169 4.169 18 C -0.098 4.098 19 C -0.010 4.010 20 C -0.554 4.554 21 H 0.074 0.926 22 C -0.145 4.145 23 N -0.534 5.534 24 Si 0.716 3.284 25 H -0.198 1.198 26 H -0.211 1.211 27 H -0.211 1.211 28 C -0.156 4.156 29 C -0.013 4.013 30 H 0.083 0.917 31 H 0.085 0.915 32 H 0.088 0.912 33 H 0.066 0.934 34 H 0.065 0.935 35 H 0.115 0.885 36 H 0.080 0.920 37 H 0.116 0.884 38 H 0.070 0.930 39 H 0.098 0.902 40 H 0.101 0.899 41 H 0.238 0.762 42 H 0.079 0.921 43 H 0.103 0.897 44 H 0.089 0.911 45 H 0.079 0.921 46 H 0.076 0.924 47 H 0.034 0.966 48 H 0.033 0.967 49 H 0.069 0.931 50 H 0.077 0.923 51 H 0.102 0.898 52 H 0.084 0.916 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 11.551 -12.375 18.559 25.120 hybrid contribution -1.072 -0.958 -0.881 1.686 sum 10.480 -13.333 17.678 24.497 Atomic orbital electron populations 1.21736 0.93365 1.02284 1.03531 1.22562 0.96001 0.83750 0.99844 1.88023 1.19250 1.26263 1.94877 1.23089 0.83197 0.98321 0.96539 0.90714 1.23018 0.97927 0.89966 0.92342 1.87966 1.74055 1.13501 1.53383 1.22599 0.98833 0.86733 0.93164 1.22574 1.03050 0.99108 0.95596 1.20843 0.98910 0.93280 0.80549 0.88311 1.45218 1.33097 1.53152 1.08329 1.15828 0.83129 0.79690 0.80332 1.90866 1.23557 1.51933 1.81680 1.47336 1.29652 1.47462 1.11336 1.21543 0.96390 0.92242 0.89027 1.22049 0.96160 0.97980 1.00662 1.21169 0.95327 0.97543 0.95754 1.19128 0.92026 0.94121 0.95701 1.21271 1.03396 0.92967 1.37722 0.92579 1.25028 0.98404 0.94825 0.96247 1.69975 1.30055 1.07930 1.45476 0.86597 0.82404 0.80507 0.78845 1.19778 1.21098 1.21105 1.21887 0.97062 0.98184 0.98451 1.21796 0.85583 0.94270 0.99665 0.91709 0.91533 0.91150 0.93408 0.93479 0.88462 0.91985 0.88433 0.93015 0.90203 0.89866 0.76182 0.92106 0.89654 0.91114 0.92120 0.92381 0.96585 0.96653 0.93104 0.92268 0.89827 0.91633 0.91550 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 -1.11 10.28 37.15 0.38 -0.73 16 2 C 0.05 0.41 6.47 37.15 0.24 0.65 16 3 O -0.37 -3.57 8.79 -42.60 -0.37 -3.94 16 4 C 0.05 0.41 2.59 -26.59 -0.07 0.34 16 5 H 0.07 0.54 7.79 -51.93 -0.40 0.14 16 6 C 0.05 0.36 6.49 37.21 0.24 0.60 16 7 O -0.37 -3.84 10.70 -42.60 -0.46 -4.30 16 8 C 0.06 0.60 6.84 37.20 0.25 0.85 16 9 C -0.16 -1.82 5.56 -26.59 -0.15 -1.97 16 10 C 0.17 1.84 2.37 -67.74 -0.16 1.68 16 11 H 0.10 1.13 7.51 -51.93 -0.39 0.74 16 12 N -0.74 -9.12 4.96 -58.49 -0.29 -9.41 16 13 C 0.71 10.93 8.27 -86.92 -0.72 10.21 16 14 O -0.60 -10.98 15.41 5.28 0.08 -10.89 16 15 N -0.62 -9.31 2.97 -178.50 -0.53 -9.84 16 16 C 0.13 1.99 6.42 -3.71 -0.02 1.97 16 17 C -0.13 -2.21 5.36 -26.61 -0.14 -2.35 16 18 C -0.08 -1.52 2.10 -90.58 -0.19 -1.71 16 19 C 0.03 0.67 4.45 -27.88 -0.12 0.55 16 20 C -0.52 -13.88 8.39 -34.44 -0.29 -14.17 16 21 H 0.06 1.45 7.06 -52.49 -0.37 1.08 16 22 C 0.06 1.56 5.46 -17.82 -0.10 1.47 16 23 N -0.89 -26.54 13.29 55.43 0.74 -25.80 16 24 Si 0.89 21.16 29.54 -169.99 -5.02 16.14 16 25 H -0.27 -6.30 7.11 56.52 0.40 -5.90 16 26 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 27 H -0.28 -6.78 7.11 56.52 0.40 -6.37 16 28 C -0.12 -2.02 5.19 -26.62 -0.14 -2.16 16 29 C 0.11 1.51 6.43 -3.71 -0.02 1.48 16 30 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.05 0.31 8.09 -51.93 -0.42 -0.10 16 34 H 0.05 0.30 7.86 -51.93 -0.41 -0.11 16 35 H 0.10 0.63 7.86 -51.93 -0.41 0.22 16 36 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 37 H 0.10 0.81 8.14 -51.93 -0.42 0.39 16 38 H 0.05 0.42 8.14 -51.93 -0.42 0.00 16 39 H 0.08 0.99 8.14 -51.93 -0.42 0.57 16 40 H 0.08 1.03 7.83 -51.93 -0.41 0.63 16 41 H 0.40 4.54 5.55 -40.82 -0.23 4.31 16 42 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 43 H 0.09 1.34 7.03 -51.93 -0.37 0.98 16 44 H 0.07 1.16 8.14 -51.93 -0.42 0.74 16 45 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 46 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 47 H 0.02 0.42 8.14 -51.93 -0.42 0.00 16 48 H 0.02 0.41 8.14 -51.93 -0.42 -0.02 16 49 H 0.26 7.27 8.31 -40.82 -0.34 6.93 16 50 H 0.06 1.08 8.14 -51.93 -0.42 0.65 16 51 H 0.08 1.52 6.91 -51.93 -0.36 1.16 16 52 H 0.07 0.85 8.14 -51.93 -0.42 0.42 16 53 H 0.07 0.77 5.56 -51.92 -0.29 0.48 16 LS Contribution 409.14 15.07 6.17 6.17 Total: -1.00 -32.40 409.14 -10.22 -42.62 By element: Atomic # 1 Polarization: 12.07 SS G_CDS: -9.52 Total: 2.54 kcal Atomic # 6 Polarization: -2.28 SS G_CDS: -1.01 Total: -3.28 kcal Atomic # 7 Polarization: -44.97 SS G_CDS: -0.08 Total: -45.05 kcal Atomic # 8 Polarization: -18.38 SS G_CDS: -0.75 Total: -19.13 kcal Atomic # 14 Polarization: 21.16 SS G_CDS: -5.02 Total: 16.14 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -32.40 -10.22 -42.62 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. ZINC000571637878.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 -90.666 kcal (2) G-P(sol) polarization free energy of solvation -32.401 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.067 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.219 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.620 kcal (6) G-S(sol) free energy of system = (1) + (5) -133.286 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.61 seconds