Wall clock time and date at job start Sat Apr 11 2020 06:09:12 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 1.52992 * 1 3 3 C 1.53004 * 109.46746 * 2 1 4 4 C 1.53006 * 109.46699 * 179.97438 * 3 2 1 5 5 C 1.53004 * 109.46699 * 179.97438 * 4 3 2 6 6 H 1.09001 * 109.46898 * 55.00783 * 5 4 3 7 7 C 1.53005 * 109.46748 * 174.99758 * 5 4 3 8 8 N 1.46505 * 109.46904 * 175.00140 * 7 5 4 9 9 C 1.36931 * 119.99788 * 180.02562 * 8 7 5 10 10 H 1.08002 * 120.00438 * 0.02562 * 9 8 7 11 11 C 1.38817 * 119.99680 * 179.72358 * 9 8 7 12 12 N 1.31614 * 119.99888 * 0.27479 * 11 9 8 13 13 Si 1.86803 * 119.99862 * 180.27671 * 11 9 8 14 14 H 1.48496 * 109.47141 * 59.99751 * 13 11 9 15 15 H 1.48490 * 109.47071 * 180.02562 * 13 11 9 16 16 H 1.48501 * 109.46993 * 300.00028 * 13 11 9 17 17 N 1.46500 * 109.47415 * 295.00180 * 5 4 3 18 18 C 1.34772 * 119.99996 * 85.00260 * 17 5 4 19 19 O 1.21281 * 120.00096 * 359.97438 * 18 17 5 20 20 C 1.50699 * 120.00053 * 179.97438 * 18 17 5 21 21 H 1.08989 * 110.37273 * 304.30011 * 20 18 17 22 22 O 1.43927 * 110.41876 * 181.92269 * 20 18 17 23 23 C 1.43765 * 109.64281 * 215.17438 * 22 20 18 24 24 C 1.53682 * 106.82647 * 1.35276 * 23 22 20 25 25 H 1.08999 * 109.73707 * 267.34952 * 24 23 22 26 26 C 1.51241 * 112.32764 * 144.98823 * 24 23 22 27 27 O 1.42706 * 111.49454 * 294.99670 * 26 24 23 28 28 C 1.43195 * 112.74959 * 299.55059 * 27 26 24 29 29 C 1.52763 * 108.43272 * 64.92188 * 28 27 26 30 30 C 1.53315 * 110.46991 * 299.97854 * 29 28 27 31 31 H 1.08994 * 113.58747 * 283.60214 * 30 29 28 32 32 H 1.09001 * 109.47782 * 59.99969 * 1 2 3 33 33 H 1.08996 * 109.47334 * 180.02562 * 1 2 3 34 34 H 1.09003 * 109.47417 * 299.99843 * 1 2 3 35 35 H 1.08998 * 109.47149 * 240.00566 * 2 1 3 36 36 H 1.08994 * 109.47559 * 119.99704 * 2 1 3 37 37 H 1.08998 * 109.47305 * 60.00620 * 3 2 1 38 38 H 1.08994 * 109.47319 * 299.99888 * 3 2 1 39 39 H 1.08998 * 109.47127 * 60.00608 * 4 3 2 40 40 H 1.08994 * 109.47189 * 300.00024 * 4 3 2 41 41 H 1.09003 * 109.46946 * 55.00899 * 7 5 4 42 42 H 1.08993 * 109.47679 * 295.00442 * 7 5 4 43 43 H 0.97000 * 119.99792 * 0.02562 * 8 7 5 44 44 H 0.97005 * 119.99715 * 179.97438 * 12 11 9 45 45 H 0.96996 * 119.99542 * 264.99808 * 17 5 4 46 46 H 1.09004 * 109.99172 * 120.69386 * 23 22 20 47 47 H 1.09001 * 109.99216 * 242.01054 * 23 22 20 48 48 H 1.09004 * 109.07068 * 55.51272 * 26 24 23 49 49 H 1.08994 * 109.07650 * 174.47316 * 26 24 23 50 50 H 1.08998 * 109.64102 * 184.60111 * 28 27 26 51 51 H 1.09001 * 109.64362 * 305.23955 * 28 27 26 52 52 H 1.08990 * 109.30495 * 60.38282 * 29 28 27 53 53 H 1.09005 * 109.30663 * 179.97438 * 29 28 27 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 6 2.0398 1.4426 0.0000 4 6 3.5699 1.4426 0.0006 5 6 4.0798 2.8851 0.0000 6 1 3.6449 3.4246 0.8414 7 6 5.6046 2.8870 0.1264 8 7 6.1029 4.2595 0.0061 9 6 7.4467 4.5096 0.0877 10 1 8.1393 3.6952 0.2404 11 6 7.9192 5.8094 -0.0321 12 7 7.0752 6.8019 -0.2187 13 14 9.7531 6.1497 0.0715 14 1 10.4553 5.4117 -1.0089 15 1 9.9957 7.6063 -0.0847 16 1 10.2659 5.7017 1.3912 17 7 3.6927 3.5394 -1.2523 18 6 2.4755 4.1062 -1.3682 19 8 1.7004 4.0743 -0.4360 20 6 2.0775 4.7798 -2.6563 21 1 2.8029 5.5485 -2.9223 22 8 0.7613 5.3502 -2.5388 23 6 0.0720 5.2378 -3.7954 24 6 1.0225 4.5122 -4.7608 25 1 1.6067 5.2426 -5.3205 26 6 0.2847 3.6051 -5.7201 27 8 -0.3573 2.5306 -5.0346 28 6 0.5650 1.6989 -4.3218 29 6 1.2053 2.5292 -3.2110 30 6 1.9519 3.7308 -3.8021 31 1 2.9097 3.4705 -4.2526 32 1 -0.3635 0.5138 -0.8899 33 1 -0.3634 -1.0276 0.0005 34 1 -0.3634 0.5138 0.8900 35 1 1.8933 -0.5137 -0.8900 36 1 1.8933 -0.5137 0.8899 37 1 1.6766 1.9564 0.8900 38 1 1.6765 1.9564 -0.8899 39 1 3.9336 0.9287 -0.8891 40 1 3.9328 0.9289 0.8908 41 1 6.0356 2.2735 -0.6648 42 1 5.8893 2.4810 1.0970 43 1 5.4808 4.9910 -0.1314 44 1 7.4054 7.7102 -0.3020 45 1 4.3126 3.5647 -1.9980 46 1 -0.8429 4.6591 -3.6681 47 1 -0.1646 6.2296 -4.1807 48 1 -0.4670 4.1869 -6.2537 49 1 0.9935 3.1957 -6.4397 50 1 0.0340 0.8522 -3.8867 51 1 1.3370 1.3405 -5.0028 52 1 0.4290 2.8836 -2.5329 53 1 1.9107 1.9088 -2.6582 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 ZINC001717531980.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 06:09:12 Heat of formation + Delta-G solvation = -130.133913 kcal Electronic energy + Delta-G solvation = -32571.004016 eV Core-core repulsion = 28442.398727 eV Total energy + Delta-G solvation = -4128.605289 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.69 seconds Orbital eigenvalues (eV) -41.25665 -39.33172 -37.71428 -36.30687 -34.93644 -33.63715 -33.19281 -32.17029 -31.29836 -30.39049 -28.80599 -27.15351 -25.70857 -24.25479 -23.92195 -23.22918 -22.25681 -20.75295 -20.63823 -19.92330 -19.78125 -17.41057 -17.14285 -16.86118 -16.51912 -16.28430 -15.80523 -15.47821 -15.31268 -15.13249 -14.70134 -14.50271 -13.99760 -13.82989 -13.57005 -13.35746 -13.28438 -13.10541 -12.79988 -12.73483 -12.70245 -12.41462 -12.32421 -12.09239 -11.88474 -11.78956 -11.31749 -11.24315 -11.09505 -10.92905 -10.89510 -10.82158 -10.78685 -10.51460 -10.38557 -10.23758 -10.05211 -10.00962 -9.75207 -9.64872 -9.21077 -8.93758 -8.60106 -6.99246 -5.80778 -3.10816 2.85260 3.17446 3.40422 3.45391 3.46369 3.60750 3.89426 3.96347 4.35956 4.52535 4.55739 4.69975 4.73878 4.85748 4.95745 5.00161 5.05406 5.06859 5.16766 5.20296 5.24747 5.31615 5.34948 5.40198 5.42532 5.47036 5.52198 5.52776 5.56421 5.63825 5.77296 5.81243 5.85121 5.88197 5.95338 5.98027 6.04147 6.09245 6.15793 6.22714 6.30286 6.45336 6.48285 6.65249 6.71270 6.76540 6.84355 6.97759 7.64544 7.86532 8.36934 8.56625 9.48771 10.04699 10.40108 11.41333 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010984 B = 0.003610 C = 0.002984 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2548.534508 B = 7754.109144 C = 9381.614810 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.124 4.124 3 C -0.123 4.123 4 C -0.126 4.126 5 C 0.140 3.860 6 H 0.087 0.913 7 C 0.145 3.855 8 N -0.731 5.731 9 C -0.245 4.245 10 H 0.070 0.930 11 C -0.010 4.010 12 N -0.931 5.931 13 Si 0.907 3.093 14 H -0.286 1.286 15 H -0.291 1.291 16 H -0.286 1.286 17 N -0.707 5.707 18 C 0.519 3.481 19 O -0.521 6.521 20 C 0.063 3.937 21 H 0.098 0.902 22 O -0.349 6.349 23 C 0.058 3.942 24 C -0.156 4.156 25 H 0.095 0.905 26 C 0.073 3.927 27 O -0.375 6.375 28 C 0.062 3.938 29 C -0.160 4.160 30 C -0.106 4.106 31 H 0.108 0.892 32 H 0.052 0.948 33 H 0.047 0.953 34 H 0.053 0.947 35 H 0.054 0.946 36 H 0.056 0.944 37 H 0.066 0.934 38 H 0.074 0.926 39 H 0.061 0.939 40 H 0.070 0.930 41 H 0.024 0.976 42 H 0.033 0.967 43 H 0.386 0.614 44 H 0.256 0.744 45 H 0.402 0.598 46 H 0.078 0.922 47 H 0.072 0.928 48 H 0.096 0.904 49 H 0.055 0.945 50 H 0.096 0.904 51 H 0.053 0.947 52 H 0.088 0.912 53 H 0.084 0.916 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.351 -11.491 -11.319 21.590 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 -0.207 4.207 2 C -0.162 4.162 3 C -0.161 4.161 4 C -0.165 4.165 5 C 0.035 3.965 6 H 0.105 0.895 7 C 0.017 3.983 8 N -0.376 5.376 9 C -0.376 4.376 10 H 0.088 0.912 11 C -0.207 4.207 12 N -0.579 5.579 13 Si 0.738 3.262 14 H -0.213 1.213 15 H -0.217 1.217 16 H -0.212 1.212 17 N -0.360 5.360 18 C 0.304 3.696 19 O -0.397 6.397 20 C 0.002 3.998 21 H 0.116 0.884 22 O -0.267 6.267 23 C -0.019 4.019 24 C -0.175 4.175 25 H 0.113 0.887 26 C -0.005 4.005 27 O -0.294 6.294 28 C -0.015 4.015 29 C -0.198 4.198 30 C -0.125 4.125 31 H 0.127 0.873 32 H 0.071 0.929 33 H 0.067 0.933 34 H 0.072 0.928 35 H 0.073 0.927 36 H 0.075 0.925 37 H 0.084 0.916 38 H 0.093 0.907 39 H 0.079 0.921 40 H 0.088 0.912 41 H 0.041 0.959 42 H 0.051 0.949 43 H 0.220 0.780 44 H 0.066 0.934 45 H 0.236 0.764 46 H 0.096 0.904 47 H 0.090 0.910 48 H 0.114 0.886 49 H 0.073 0.927 50 H 0.114 0.886 51 H 0.071 0.929 52 H 0.106 0.894 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges -15.041 -11.445 -10.418 21.581 hybrid contribution 1.715 0.662 -0.491 1.903 sum -13.326 -10.782 -10.909 20.319 Atomic orbital electron populations 1.21743 0.96212 1.00809 1.01958 1.21563 0.95629 0.97719 1.01271 1.21867 0.94791 0.95477 1.03923 1.21978 0.96124 0.96302 1.02108 1.21295 0.95970 0.92373 0.86839 0.89501 1.20961 0.89263 0.89364 0.98741 1.42343 1.05383 1.02031 1.87842 1.19166 0.83642 0.92514 1.42246 0.91219 1.24744 0.97648 0.95665 1.02631 1.69657 1.32973 0.99088 1.56145 0.86272 0.85144 0.76902 0.77860 1.21288 1.21692 1.21248 1.45860 1.15655 1.57360 1.17141 1.20045 0.82160 0.78526 0.88869 1.90707 1.51203 1.57855 1.39893 1.23141 0.87740 0.95490 0.93448 0.88411 1.88709 1.25716 1.80343 1.31941 1.23117 0.95673 0.99806 0.83278 1.22771 0.97850 0.98778 0.98123 0.88686 1.21933 0.97317 0.88318 0.92883 1.88106 1.33351 1.40696 1.67218 1.22585 0.92859 0.93010 0.93032 1.22419 1.01294 0.96856 0.99212 1.22979 0.99561 0.95440 0.94546 0.87345 0.92936 0.93342 0.92791 0.92710 0.92492 0.91567 0.90720 0.92064 0.91183 0.95863 0.94943 0.77973 0.93411 0.76360 0.90412 0.91005 0.88575 0.92659 0.88629 0.92853 0.89373 0.89760 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 -0.15 -1.56 9.91 37.15 0.37 -1.19 16 2 C -0.12 -1.34 5.93 -26.73 -0.16 -1.50 16 3 C -0.12 -1.62 3.82 -26.73 -0.10 -1.72 16 4 C -0.13 -1.64 4.89 -26.73 -0.13 -1.77 16 5 C 0.14 2.25 2.41 -67.93 -0.16 2.09 16 6 H 0.09 1.64 7.58 -51.93 -0.39 1.25 16 7 C 0.14 2.72 5.82 -4.04 -0.02 2.70 16 8 N -0.73 -17.72 5.43 -59.90 -0.33 -18.05 16 9 C -0.24 -6.63 9.99 -15.06 -0.15 -6.78 16 10 H 0.07 1.83 7.83 -52.49 -0.41 1.42 16 11 C -0.01 -0.30 5.50 -17.43 -0.10 -0.39 16 12 N -0.93 -27.67 13.06 55.49 0.72 -26.94 16 13 Si 0.91 21.98 29.55 -169.99 -5.02 16.95 16 14 H -0.29 -6.77 7.11 56.52 0.40 -6.37 16 15 H -0.29 -7.14 7.11 56.52 0.40 -6.73 16 16 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 17 N -0.71 -10.68 4.47 -53.80 -0.24 -10.92 16 18 C 0.52 8.34 4.31 -10.99 -0.05 8.29 16 19 O -0.52 -10.07 13.69 -13.69 -0.19 -10.26 16 20 C 0.06 0.86 3.52 -26.36 -0.09 0.77 16 21 H 0.10 1.32 8.14 -51.93 -0.42 0.90 16 22 O -0.35 -5.33 10.20 -54.48 -0.56 -5.88 16 23 C 0.06 0.64 6.78 37.51 0.25 0.89 16 24 C -0.16 -1.38 2.97 -90.25 -0.27 -1.65 16 25 H 0.09 0.71 8.14 -51.93 -0.42 0.29 16 26 C 0.07 0.57 6.12 36.27 0.22 0.79 16 27 O -0.38 -3.76 10.46 -35.23 -0.37 -4.13 16 28 C 0.06 0.55 6.82 37.04 0.25 0.80 16 29 C -0.16 -1.68 3.36 -26.69 -0.09 -1.77 16 30 C -0.11 -1.07 3.67 -88.03 -0.32 -1.39 16 31 H 0.11 0.91 8.14 -51.93 -0.42 0.49 16 32 H 0.05 0.55 8.14 -51.93 -0.42 0.13 16 33 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 35 H 0.05 0.54 8.14 -51.93 -0.42 0.12 16 36 H 0.06 0.60 8.14 -51.93 -0.42 0.17 16 37 H 0.07 1.02 7.85 -51.93 -0.41 0.61 16 38 H 0.07 1.02 2.81 -51.93 -0.15 0.88 16 39 H 0.06 0.73 8.14 -51.93 -0.42 0.30 16 40 H 0.07 0.87 8.14 -51.93 -0.42 0.45 16 41 H 0.02 0.42 8.14 -51.93 -0.42 0.00 16 42 H 0.03 0.62 8.14 -51.93 -0.42 0.20 16 43 H 0.39 10.05 7.33 -40.82 -0.30 9.76 16 44 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 45 H 0.40 5.70 8.60 -40.82 -0.35 5.35 16 46 H 0.08 0.89 7.62 -51.93 -0.40 0.49 16 47 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 48 H 0.10 0.61 8.14 -51.93 -0.42 0.19 16 49 H 0.06 0.36 8.13 -51.93 -0.42 -0.06 16 50 H 0.10 0.77 8.14 -51.93 -0.42 0.35 16 51 H 0.05 0.40 8.12 -51.93 -0.42 -0.02 16 52 H 0.09 1.18 6.85 -51.93 -0.36 0.82 16 53 H 0.08 0.90 6.12 -51.93 -0.32 0.58 16 LS Contribution 403.31 15.07 6.08 6.08 Total: -1.00 -32.53 403.31 -9.85 -42.37 By element: Atomic # 1 Polarization: 22.01 SS G_CDS: -9.40 Total: 12.61 kcal Atomic # 6 Polarization: -1.28 SS G_CDS: -0.55 Total: -1.83 kcal Atomic # 7 Polarization: -56.07 SS G_CDS: 0.16 Total: -55.91 kcal Atomic # 8 Polarization: -19.16 SS G_CDS: -1.11 Total: -20.27 kcal Atomic # 14 Polarization: 21.98 SS G_CDS: -5.02 Total: 16.95 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -32.53 -9.85 -42.37 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. ZINC001717531980.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 -87.760 kcal (2) G-P(sol) polarization free energy of solvation -32.527 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -120.287 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.847 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.374 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.134 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.69 seconds