Wall clock time and date at job start Wed Apr 1 2020 00:24:17 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 1.53001 * 1 3 3 H 1.08999 * 109.51226 * 2 1 4 4 C 1.53283 * 109.51409 * 239.88961 * 2 1 3 5 5 N 1.47164 * 108.53639 * 186.95142 * 4 2 1 6 6 C 1.34775 * 121.08711 * 231.36482 * 5 4 2 7 7 O 1.21590 * 120.00741 * 174.76865 * 6 5 4 8 8 N 1.34784 * 119.99627 * 354.77537 * 6 5 4 9 9 C 1.46495 * 119.99775 * 184.97789 * 8 6 5 10 10 C 1.52999 * 109.47083 * 179.97438 * 9 8 6 11 11 C 1.53005 * 109.47121 * 299.99938 * 10 9 8 12 12 C 1.52997 * 109.47146 * 59.99995 * 10 9 8 13 13 C 1.53005 * 109.47258 * 179.97438 * 10 9 8 14 14 C 1.50701 * 109.46934 * 179.97438 * 13 10 9 15 15 H 1.07995 * 120.00354 * 0.02562 * 14 13 10 16 16 C 1.37882 * 119.99498 * 180.02562 * 14 13 10 17 17 N 1.31512 * 120.00115 * 0.02562 * 16 14 13 18 18 Si 1.86805 * 119.99685 * 180.02562 * 16 14 13 19 19 H 1.48502 * 109.47348 * 89.99937 * 18 16 14 20 20 H 1.48495 * 109.46854 * 210.00139 * 18 16 14 21 21 H 1.48500 * 109.47115 * 329.99999 * 18 16 14 22 22 C 1.47337 * 117.83499 * 51.34800 * 5 4 2 23 23 C 1.52294 * 108.46703 * 310.97015 * 22 5 4 24 24 C 1.54477 * 110.42033 * 173.41868 * 23 22 5 25 25 C 1.54525 * 102.35939 * 150.95481 * 24 23 22 26 26 O 1.43308 * 107.60742 * 339.24045 * 25 24 23 27 27 C 1.43812 * 110.01334 * 358.40866 * 26 25 24 28 28 O 1.41798 * 111.63224 * 49.70892 * 23 22 5 29 29 H 1.09005 * 109.47302 * 180.10667 * 1 2 3 30 30 H 1.08996 * 109.47221 * 300.10660 * 1 2 3 31 31 H 1.08994 * 109.46895 * 60.10866 * 1 2 3 32 32 H 1.09003 * 109.62470 * 67.24321 * 4 2 1 33 33 H 1.08999 * 109.78796 * 306.76458 * 4 2 1 34 34 H 0.96996 * 120.00083 * 4.97009 * 8 6 5 35 35 H 1.09003 * 109.47755 * 299.99813 * 9 8 6 36 36 H 1.09002 * 109.47671 * 59.99365 * 9 8 6 37 37 H 1.08995 * 109.46770 * 59.99953 * 11 10 9 38 38 H 1.09003 * 109.47184 * 180.02562 * 11 10 9 39 39 H 1.09002 * 109.46623 * 299.99718 * 11 10 9 40 40 H 1.09005 * 109.47290 * 60.00032 * 12 10 9 41 41 H 1.09003 * 109.47050 * 180.02562 * 12 10 9 42 42 H 1.09001 * 109.46811 * 300.00142 * 12 10 9 43 43 H 1.08997 * 109.46895 * 300.00168 * 13 10 9 44 44 H 1.08999 * 109.46938 * 60.00136 * 13 10 9 45 45 H 0.97000 * 119.99668 * 180.02562 * 17 16 14 46 46 H 1.08998 * 109.63705 * 191.27953 * 22 5 4 47 47 H 1.08998 * 109.81255 * 70.76337 * 22 5 4 48 48 H 1.08994 * 110.86539 * 32.68024 * 24 23 22 49 49 H 1.09004 * 110.86031 * 269.22504 * 24 23 22 50 50 H 1.08999 * 109.82758 * 98.75708 * 25 24 23 51 51 H 1.09000 * 109.82971 * 219.71891 * 25 24 23 52 52 H 1.09003 * 110.32016 * 142.42843 * 27 26 25 53 53 H 1.09002 * 110.31909 * 264.51964 * 27 26 25 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 1.8941 1.0274 0.0000 4 6 2.0420 -0.7248 -1.2498 5 7 3.5038 -0.8600 -1.1463 6 6 4.3117 -0.4687 -2.1516 7 8 5.5188 -0.5004 -2.0090 8 7 3.7816 -0.0420 -3.3150 9 6 4.6572 0.2796 -4.4446 10 6 3.8092 0.7355 -5.6336 11 6 2.8495 -0.3864 -6.0355 12 6 3.0062 1.9772 -5.2411 13 6 4.7237 1.0720 -6.8132 14 6 3.8883 1.5203 -7.9846 15 1 2.8127 1.5616 -7.8964 16 6 4.4972 1.8779 -9.1688 17 7 5.8069 1.8271 -9.2763 18 14 3.4617 2.4344 -10.6206 19 1 3.2751 3.9064 -10.5603 20 1 4.1497 2.0740 -11.8863 21 1 2.1371 1.7650 -10.5693 22 6 4.0554 -1.4368 0.0922 23 6 3.4206 -0.7257 1.2799 24 6 3.8417 -1.4042 2.6023 25 6 3.7915 -0.2309 3.6066 26 8 3.8756 0.9866 2.8555 27 6 4.0130 0.6922 1.4546 28 8 2.0080 -0.6777 1.1666 29 1 -0.3634 -1.0277 0.0019 30 1 -0.3633 0.5155 0.8890 31 1 -0.3633 0.5121 -0.8909 32 1 1.7900 -0.1454 -2.1381 33 1 1.5867 -1.7129 -1.3159 34 1 2.8204 0.0521 -3.4044 35 1 5.3413 1.0786 -4.1582 36 1 5.2291 -0.6051 -4.7245 37 1 2.1981 -0.6257 -5.1950 38 1 2.2456 -0.0618 -6.8829 39 1 3.4217 -1.2711 -6.3152 40 1 3.6899 2.7765 -4.9548 41 1 2.4017 2.3017 -6.0881 42 1 2.3547 1.7379 -4.4006 43 1 5.4070 1.8713 -6.5266 44 1 5.2961 0.1875 -7.0930 45 1 6.2353 2.0790 -10.1094 46 1 5.1356 -1.2931 0.1137 47 1 3.8265 -2.5015 0.1377 48 1 4.8514 -1.8079 2.5271 49 1 3.1333 -2.1843 2.8810 50 1 2.8537 -0.2591 4.1614 51 1 4.6327 -0.2986 4.2965 52 1 3.4514 1.4123 0.8596 53 1 5.0644 0.7026 1.1670 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 ZINC000377036248.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:24:17 Heat of formation + Delta-G solvation = -118.933672 kcal Electronic energy + Delta-G solvation = -31721.924170 eV Core-core repulsion = 27593.804560 eV Total energy + Delta-G solvation = -4128.119610 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -41.31099 -39.72121 -38.04660 -37.18892 -34.91661 -34.09190 -33.37214 -32.06900 -31.06869 -29.60152 -27.27668 -27.07108 -26.62158 -26.55755 -25.18446 -23.39404 -22.75293 -22.02961 -20.74340 -19.65193 -18.91086 -17.75260 -17.65558 -16.71237 -16.47346 -16.25415 -15.81934 -15.47729 -15.36839 -14.98229 -14.71350 -14.38417 -14.23632 -14.09396 -13.93253 -13.41636 -13.38191 -13.13872 -12.89018 -12.81291 -12.67095 -12.34655 -12.19705 -12.08522 -11.99196 -11.92129 -11.73144 -11.56504 -11.20408 -11.04827 -10.96354 -10.87060 -10.67199 -10.43323 -10.35582 -10.28011 -10.07214 -9.91360 -9.76483 -9.24076 -8.97844 -8.95354 -8.51985 -8.37918 -6.01900 -4.03351 2.44513 3.04519 3.21008 3.29262 3.36475 3.37831 3.49388 3.85507 4.00798 4.23360 4.29592 4.43269 4.49305 4.58991 4.64478 4.74786 4.91160 4.93711 5.07873 5.14908 5.26515 5.31466 5.33563 5.33942 5.38038 5.43376 5.47141 5.50498 5.57872 5.59851 5.63627 5.70261 5.76332 6.06747 6.11986 6.19082 6.24198 6.36433 6.53772 6.58699 6.59745 6.72160 6.81991 6.84308 7.02264 7.03665 7.09785 7.61825 7.73866 7.95459 7.97642 8.37954 8.62545 9.01337 9.59823 11.09525 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.022898 B = 0.002353 C = 0.002259 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1222.518485 B =11897.604995 C =12392.972602 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C 0.071 3.929 3 H 0.068 0.932 4 C 0.082 3.918 5 N -0.639 5.639 6 C 0.706 3.294 7 O -0.587 6.587 8 N -0.735 5.735 9 C 0.145 3.855 10 C -0.072 4.072 11 C -0.126 4.126 12 C -0.126 4.126 13 C 0.036 3.964 14 C -0.511 4.511 15 H 0.059 0.941 16 C 0.056 3.944 17 N -0.894 5.894 18 Si 0.889 3.111 19 H -0.281 1.281 20 H -0.287 1.287 21 H -0.275 1.275 22 C 0.117 3.883 23 C 0.073 3.927 24 C -0.140 4.140 25 C 0.055 3.945 26 O -0.379 6.379 27 C 0.034 3.966 28 O -0.354 6.354 29 H 0.067 0.933 30 H 0.069 0.931 31 H 0.077 0.923 32 H 0.089 0.911 33 H 0.079 0.921 34 H 0.393 0.607 35 H 0.063 0.937 36 H 0.062 0.938 37 H 0.026 0.974 38 H 0.067 0.933 39 H 0.048 0.952 40 H 0.048 0.952 41 H 0.067 0.933 42 H 0.025 0.975 43 H 0.019 0.981 44 H 0.019 0.981 45 H 0.260 0.740 46 H 0.107 0.893 47 H 0.076 0.924 48 H 0.095 0.905 49 H 0.096 0.904 50 H 0.072 0.928 51 H 0.070 0.930 52 H 0.087 0.913 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.865 -7.064 23.675 26.603 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 -0.201 4.201 2 C 0.013 3.987 3 H 0.086 0.914 4 C -0.042 4.042 5 N -0.378 5.378 6 C 0.408 3.592 7 O -0.465 6.465 8 N -0.392 5.392 9 C 0.022 3.978 10 C -0.073 4.073 11 C -0.183 4.183 12 C -0.183 4.183 13 C -0.001 4.001 14 C -0.550 4.550 15 H 0.077 0.923 16 C -0.145 4.145 17 N -0.533 5.533 18 Si 0.717 3.283 19 H -0.208 1.208 20 H -0.213 1.213 21 H -0.200 1.200 22 C -0.007 4.007 23 C 0.032 3.968 24 C -0.178 4.178 25 C -0.021 4.021 26 O -0.299 6.299 27 C -0.043 4.043 28 O -0.273 6.273 29 H 0.086 0.914 30 H 0.088 0.912 31 H 0.096 0.904 32 H 0.107 0.893 33 H 0.097 0.903 34 H 0.230 0.770 35 H 0.082 0.918 36 H 0.080 0.920 37 H 0.045 0.955 38 H 0.086 0.914 39 H 0.067 0.933 40 H 0.067 0.933 41 H 0.086 0.914 42 H 0.044 0.956 43 H 0.037 0.963 44 H 0.037 0.963 45 H 0.070 0.930 46 H 0.125 0.875 47 H 0.094 0.906 48 H 0.114 0.886 49 H 0.115 0.885 50 H 0.090 0.910 51 H 0.088 0.912 52 H 0.105 0.895 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -8.926 -6.940 23.809 26.357 hybrid contribution -0.809 0.245 -1.286 1.539 sum -9.736 -6.695 22.522 25.434 Atomic orbital electron populations 1.21731 0.91686 1.03409 1.03232 1.22577 0.95750 0.95767 0.84624 0.91395 1.22371 0.80872 1.01941 0.98995 1.47320 1.05715 1.67611 1.17149 1.15862 0.84983 0.78159 0.80211 1.90915 1.12374 1.61627 1.81616 1.45535 1.10719 1.70960 1.11952 1.21536 0.92167 1.00214 0.83882 1.20919 0.96542 0.94819 0.94985 1.21754 0.98628 0.98007 0.99926 1.21753 0.99322 0.97525 0.99702 1.19089 0.93821 0.96954 0.90259 1.21166 0.93145 1.44108 0.96535 0.92278 1.25017 0.94831 0.95921 0.98737 1.69963 1.08363 1.48545 1.26445 0.86648 0.80359 0.78938 0.82350 1.20769 1.21338 1.19966 1.21795 1.00579 0.97030 0.81310 1.22838 0.82737 0.95518 0.95705 1.23033 1.03182 0.99176 0.92363 1.23133 1.01751 0.83098 0.94161 1.88453 1.95023 1.29013 1.17362 1.23946 1.01194 0.96145 0.83002 1.87787 1.18899 1.77373 1.43201 0.91396 0.91226 0.90392 0.89276 0.90291 0.76987 0.91831 0.91974 0.95503 0.91382 0.93322 0.93282 0.91383 0.95561 0.96277 0.96291 0.93018 0.87472 0.90581 0.88606 0.88549 0.90967 0.91171 0.89529 0.90643 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 -0.14 -0.90 9.57 37.16 0.36 -0.54 16 2 C 0.07 0.60 3.21 -26.58 -0.09 0.51 16 3 H 0.07 0.63 6.33 -51.93 -0.33 0.30 16 4 C 0.08 0.72 5.85 -3.53 -0.02 0.70 16 5 N -0.64 -7.39 2.98 -178.46 -0.53 -7.92 16 6 C 0.71 10.77 8.31 -86.91 -0.72 10.04 16 7 O -0.59 -11.18 15.84 5.29 0.08 -11.10 16 8 N -0.73 -10.67 4.87 -65.23 -0.32 -10.99 16 9 C 0.15 2.55 4.57 -4.05 -0.02 2.53 16 10 C -0.07 -1.34 0.54 -154.51 -0.08 -1.42 16 11 C -0.13 -2.14 8.05 37.16 0.30 -1.85 16 12 C -0.13 -2.14 8.05 37.16 0.30 -1.84 16 13 C 0.04 0.88 4.04 -27.88 -0.11 0.76 16 14 C -0.51 -13.36 7.65 -34.44 -0.26 -13.63 16 15 H 0.06 1.48 5.68 -52.49 -0.30 1.18 16 16 C 0.06 1.55 5.46 -17.82 -0.10 1.45 16 17 N -0.89 -26.20 13.29 55.43 0.74 -25.46 16 18 Si 0.89 20.99 29.54 -169.99 -5.02 15.96 16 19 H -0.28 -6.60 7.11 56.52 0.40 -6.20 16 20 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 21 H -0.27 -6.31 7.11 56.52 0.40 -5.91 16 22 C 0.12 1.19 5.33 -3.94 -0.02 1.17 16 23 C 0.07 0.68 0.85 -89.34 -0.08 0.60 16 24 C -0.14 -0.99 6.18 -25.16 -0.16 -1.14 16 25 C 0.06 0.45 7.81 37.96 0.30 0.74 16 26 O -0.38 -4.39 11.37 -35.23 -0.40 -4.79 16 27 C 0.03 0.37 6.81 38.03 0.26 0.63 16 28 O -0.35 -3.43 9.92 -35.22 -0.35 -3.78 16 29 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 30 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 31 H 0.08 0.39 8.14 -51.93 -0.42 -0.03 16 32 H 0.09 0.71 5.76 -51.93 -0.30 0.41 16 33 H 0.08 0.63 8.14 -51.93 -0.42 0.21 16 34 H 0.39 4.82 3.72 -40.82 -0.15 4.67 16 35 H 0.06 1.20 8.14 -51.93 -0.42 0.78 16 36 H 0.06 1.17 8.14 -51.93 -0.42 0.74 16 37 H 0.03 0.37 6.86 -51.93 -0.36 0.01 16 38 H 0.07 1.25 6.62 -51.93 -0.34 0.91 16 39 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 40 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 41 H 0.07 1.25 6.62 -51.93 -0.34 0.90 16 42 H 0.03 0.36 6.86 -51.93 -0.36 0.00 16 43 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 44 H 0.02 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.26 7.26 8.31 -40.82 -0.34 6.92 16 46 H 0.11 1.21 6.83 -51.93 -0.35 0.86 16 47 H 0.08 0.68 8.14 -51.93 -0.42 0.26 16 48 H 0.10 0.54 7.99 -51.93 -0.41 0.13 16 49 H 0.10 0.58 8.14 -51.93 -0.42 0.16 16 50 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 51 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 52 H 0.09 0.98 6.18 -51.93 -0.32 0.66 16 53 H 0.08 0.85 7.82 -51.93 -0.41 0.45 16 LS Contribution 400.96 15.07 6.04 6.04 Total: -1.00 -32.21 400.96 -8.93 -41.14 By element: Atomic # 1 Polarization: 11.20 SS G_CDS: -9.03 Total: 2.17 kcal Atomic # 6 Polarization: -1.13 SS G_CDS: -0.15 Total: -1.28 kcal Atomic # 7 Polarization: -44.26 SS G_CDS: -0.11 Total: -44.37 kcal Atomic # 8 Polarization: -19.00 SS G_CDS: -0.67 Total: -19.66 kcal Atomic # 14 Polarization: 20.99 SS G_CDS: -5.02 Total: 15.96 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -32.21 -8.93 -41.14 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. ZINC000377036248.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 -77.795 kcal (2) G-P(sol) polarization free energy of solvation -32.206 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.001 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.933 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.139 kcal (6) G-S(sol) free energy of system = (1) + (5) -118.934 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds