Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.53000 * 1 3 3 O 1.42899 * 109.47289 * 2 1 4 4 C 1.42902 * 113.99982 * 180.02562 * 3 2 1 5 5 H 1.08991 * 109.47144 * 29.99330 * 4 3 2 6 6 C 1.53003 * 109.46498 * 269.99436 * 4 3 2 7 7 C 1.50696 * 109.47098 * 149.99926 * 4 3 2 8 8 O 1.21278 * 120.00203 * 12.57819 * 7 4 3 9 9 N 1.34777 * 119.99784 * 192.58544 * 7 4 3 10 10 C 1.46936 * 120.59108 * 174.95372 * 9 7 4 11 11 C 1.53288 * 108.71286 * 234.46194 * 10 9 7 12 12 C 1.52430 * 109.41946 * 306.26889 * 11 10 9 13 13 C 1.53601 * 110.44567 * 297.01647 * 12 11 10 14 14 O 1.43892 * 107.11219 * 239.50828 * 13 12 11 15 15 C 1.44424 * 107.00464 * 26.35820 * 14 13 12 16 16 H 1.08999 * 110.60424 * 78.93068 * 15 14 13 17 17 C 1.52995 * 110.60868 * 201.74693 * 15 14 13 18 18 N 1.46502 * 109.46808 * 298.54535 * 17 15 14 19 19 C 1.36941 * 120.00004 * 180.02562 * 18 17 15 20 20 H 1.07995 * 119.99787 * 0.02562 * 19 18 17 21 21 C 1.38807 * 120.00174 * 180.02562 * 19 18 17 22 22 N 1.31627 * 120.00033 * 359.97438 * 21 19 18 23 23 Si 1.86800 * 120.00273 * 179.97438 * 21 19 18 24 24 H 1.48499 * 109.46866 * 0.02562 * 23 21 19 25 25 H 1.48495 * 109.47111 * 119.99948 * 23 21 19 26 26 H 1.48496 * 109.46996 * 239.99840 * 23 21 19 27 27 C 1.54323 * 110.03731 * 181.93505 * 12 11 10 28 28 C 1.52424 * 110.98071 * 59.87196 * 12 11 10 29 29 C 1.46929 * 120.58894 * 355.22444 * 9 7 4 30 30 H 1.09007 * 109.46727 * 60.00036 * 1 2 3 31 31 H 1.08998 * 109.47091 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.47343 * 300.00937 * 1 2 3 33 33 H 1.08997 * 109.46999 * 239.99456 * 2 1 3 34 34 H 1.08995 * 109.46941 * 119.99592 * 2 1 3 35 35 H 1.08997 * 109.47011 * 65.80001 * 6 4 3 36 36 H 1.09006 * 109.46814 * 185.79412 * 6 4 3 37 37 H 1.08998 * 109.47437 * 305.79700 * 6 4 3 38 38 H 1.08999 * 109.59188 * 354.22028 * 10 9 7 39 39 H 1.08992 * 109.59898 * 114.68726 * 10 9 7 40 40 H 1.09001 * 109.47568 * 186.29474 * 11 10 9 41 41 H 1.08988 * 109.48412 * 66.26177 * 11 10 9 42 42 H 1.08998 * 109.90777 * 358.87168 * 13 12 11 43 43 H 1.08994 * 109.90707 * 119.94953 * 13 12 11 44 44 H 1.08990 * 109.47650 * 58.54465 * 17 15 14 45 45 H 1.09001 * 109.47032 * 178.54999 * 17 15 14 46 46 H 0.96998 * 119.99856 * 359.97438 * 18 17 15 47 47 H 0.96997 * 120.00378 * 179.97438 * 22 21 19 48 48 H 1.09003 * 110.93103 * 216.21037 * 27 12 11 49 49 H 1.08996 * 110.93214 * 339.87745 * 27 12 11 50 50 H 1.08995 * 109.48049 * 180.16020 * 28 12 11 51 51 H 1.09006 * 109.48276 * 60.13850 * 28 12 11 52 52 H 1.08996 * 109.59828 * 245.32309 * 29 9 7 53 53 H 1.09004 * 109.59824 * 5.78366 * 29 9 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 8 2.0064 1.3473 0.0000 4 6 3.4309 1.4600 -0.0006 5 1 3.8631 0.6016 -0.5146 6 6 3.9398 1.5002 1.4418 7 6 3.8343 2.7264 -0.7110 8 8 3.0008 3.5687 -0.9691 9 7 5.1213 2.9228 -1.0595 10 6 5.5110 4.0994 -1.8487 11 6 6.2685 3.6268 -3.0948 12 6 7.4223 2.7237 -2.6744 13 6 8.4307 3.5047 -1.8186 14 8 9.6964 3.4509 -2.5009 15 6 9.4116 3.2766 -3.9060 16 1 9.1222 4.2248 -4.3592 17 6 10.6207 2.6820 -4.6308 18 7 11.7578 3.5986 -4.5165 19 6 12.9578 3.2761 -5.0921 20 1 13.0657 2.3462 -5.6307 21 6 14.0354 4.1443 -4.9834 22 7 13.9037 5.2778 -4.3275 23 14 15.6725 3.7040 -5.7680 24 1 15.5594 2.3859 -6.4426 25 1 16.0376 4.7407 -6.7665 26 1 16.7215 3.6356 -4.7192 27 6 8.2244 2.2785 -3.9153 28 6 6.9121 1.5037 -1.9163 29 6 6.1586 1.9611 -0.6622 30 1 -0.3633 0.5139 -0.8901 31 1 -0.3633 -1.0276 -0.0005 32 1 -0.3634 0.5140 0.8899 33 1 1.8933 -0.5139 -0.8899 34 1 1.8933 -0.5138 0.8900 35 1 3.7387 0.5440 1.9247 36 1 5.0133 1.6893 1.4432 37 1 3.4300 2.2959 1.9849 38 1 4.6194 4.6493 -2.1497 39 1 6.1561 4.7432 -1.2509 40 1 6.6603 4.4909 -3.6314 41 1 5.5907 3.0725 -3.7437 42 1 8.1075 4.5408 -1.7172 43 1 8.5166 3.0448 -0.8341 44 1 10.8796 1.7240 -4.1801 45 1 10.3772 2.5346 -5.6830 46 1 11.6605 4.4343 -4.0338 47 1 14.6568 5.8844 -4.2512 48 1 8.5770 1.2531 -3.8037 49 1 7.6307 2.3880 -4.8227 50 1 7.7556 0.8776 -1.6255 51 1 6.2394 0.9329 -2.5565 52 1 6.8541 2.4381 0.0283 53 1 5.6943 1.1006 -0.1806 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 ZINC001755464831.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 06:11:33 Heat of formation + Delta-G solvation = -114.572876 kcal Electronic energy + Delta-G solvation = -30840.063400 eV Core-core repulsion = 26712.132889 eV Total energy + Delta-G solvation = -4127.930511 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.20 seconds Orbital eigenvalues (eV) -41.16164 -39.82601 -38.19083 -36.87817 -34.52804 -33.80109 -32.79532 -31.63119 -31.54730 -30.40763 -29.52382 -27.30640 -25.38213 -25.10770 -23.93733 -23.49086 -22.95487 -22.17707 -20.73175 -20.37640 -18.66098 -17.75425 -17.17684 -17.04038 -16.36159 -16.14084 -16.01125 -15.59399 -15.32662 -15.02755 -14.72102 -14.51897 -14.15223 -14.03316 -13.87346 -13.51374 -13.33647 -13.17307 -13.07556 -12.92824 -12.76901 -12.65444 -12.61896 -12.37150 -12.05762 -11.85317 -11.82511 -11.64403 -11.50745 -11.42260 -11.21828 -11.04806 -10.81269 -10.58270 -10.48854 -10.41534 -10.27334 -9.95856 -9.75175 -9.63609 -9.29290 -8.92894 -8.84855 -6.85973 -5.70613 -2.99236 2.26163 2.37661 3.34034 3.46137 3.51046 3.53811 4.02564 4.06399 4.24994 4.31149 4.37003 4.49144 4.59838 4.64023 4.64357 4.70251 4.76885 4.83934 4.89802 4.94265 4.98694 5.01487 5.10993 5.18011 5.23519 5.28992 5.30017 5.40113 5.43344 5.46712 5.52235 5.61469 5.62116 5.65640 5.70856 5.71274 5.77841 5.85174 5.91489 6.00830 6.05013 6.09553 6.22192 6.34725 6.58101 6.64477 6.76903 7.03923 7.31082 7.73611 7.86000 8.47698 9.59183 10.17941 10.53629 11.52172 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.033144 B = 0.001895 C = 0.001878 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 844.584627 B =14772.073709 C =14904.061029 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.054 3.946 3 O -0.359 6.359 4 C 0.072 3.928 5 H 0.085 0.915 6 C -0.176 4.176 7 C 0.518 3.482 8 O -0.520 6.520 9 N -0.608 5.608 10 C 0.111 3.889 11 C -0.120 4.120 12 C -0.092 4.092 13 C 0.053 3.947 14 O -0.355 6.355 15 C 0.073 3.927 16 H 0.067 0.933 17 C 0.160 3.840 18 N -0.728 5.728 19 C -0.239 4.239 20 H 0.070 0.930 21 C -0.015 4.015 22 N -0.931 5.931 23 Si 0.907 3.093 24 H -0.281 1.281 25 H -0.292 1.292 26 H -0.292 1.292 27 C -0.137 4.137 28 C -0.120 4.120 29 C 0.097 3.903 30 H 0.064 0.936 31 H 0.072 0.928 32 H 0.064 0.936 33 H 0.050 0.950 34 H 0.051 0.949 35 H 0.070 0.930 36 H 0.076 0.924 37 H 0.073 0.927 38 H 0.094 0.906 39 H 0.073 0.927 40 H 0.082 0.918 41 H 0.070 0.930 42 H 0.056 0.944 43 H 0.079 0.921 44 H 0.024 0.976 45 H 0.030 0.970 46 H 0.388 0.612 47 H 0.254 0.746 48 H 0.080 0.920 49 H 0.078 0.922 50 H 0.084 0.916 51 H 0.070 0.930 52 H 0.078 0.922 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.494 -11.824 10.658 30.055 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 -0.208 4.208 2 C -0.022 4.022 3 O -0.277 6.277 4 C 0.011 3.989 5 H 0.102 0.898 6 C -0.234 4.234 7 C 0.304 3.696 8 O -0.395 6.395 9 N -0.344 5.344 10 C -0.011 4.011 11 C -0.158 4.158 12 C -0.092 4.092 13 C -0.024 4.024 14 O -0.273 6.273 15 C 0.015 3.985 16 H 0.085 0.915 17 C 0.033 3.967 18 N -0.372 5.372 19 C -0.370 4.370 20 H 0.088 0.912 21 C -0.211 4.211 22 N -0.579 5.579 23 Si 0.738 3.262 24 H -0.206 1.206 25 H -0.219 1.219 26 H -0.219 1.219 27 C -0.176 4.176 28 C -0.158 4.158 29 C -0.025 4.025 30 H 0.084 0.916 31 H 0.091 0.909 32 H 0.083 0.917 33 H 0.068 0.932 34 H 0.069 0.931 35 H 0.089 0.911 36 H 0.095 0.905 37 H 0.092 0.908 38 H 0.113 0.887 39 H 0.091 0.909 40 H 0.100 0.900 41 H 0.089 0.911 42 H 0.074 0.926 43 H 0.097 0.903 44 H 0.042 0.958 45 H 0.047 0.953 46 H 0.222 0.778 47 H 0.064 0.936 48 H 0.099 0.901 49 H 0.097 0.903 50 H 0.103 0.897 51 H 0.089 0.911 52 H 0.096 0.904 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges -25.755 -11.278 10.528 30.023 hybrid contribution 0.986 -0.247 -0.328 1.068 sum -24.770 -11.525 10.200 29.161 Atomic orbital electron populations 1.21730 0.93314 1.02296 1.03470 1.22606 0.96071 0.83434 1.00135 1.88065 1.18264 1.26410 1.94953 1.21873 0.83783 0.96443 0.96840 0.89768 1.22355 1.02194 1.03896 0.94939 1.20357 0.81924 0.88169 0.79116 1.90713 1.50020 1.44902 1.53864 1.48043 1.06626 1.25220 1.54494 1.21703 1.00385 0.87033 0.92002 1.21917 0.96490 1.00106 0.97286 1.21502 0.95741 0.95717 0.96275 1.23245 0.84242 0.98884 0.96076 1.89105 1.25517 1.94240 1.18470 1.23432 0.94994 0.97156 0.82870 0.91461 1.20706 0.86481 0.93792 0.95761 1.42271 1.07419 1.22015 1.65503 1.19276 0.88343 1.02837 1.26591 0.91198 1.24749 0.98203 0.96928 1.01173 1.69691 1.30789 1.10957 1.46507 0.86119 0.84258 0.77371 0.78458 1.20601 1.21916 1.21888 1.23197 0.96582 1.00710 0.97069 1.21900 1.00395 0.97207 0.96293 1.22054 0.90514 0.92594 0.97372 0.91650 0.90938 0.91697 0.93215 0.93123 0.91102 0.90479 0.90780 0.88740 0.90893 0.89955 0.91122 0.92607 0.90313 0.95793 0.95264 0.77817 0.93623 0.90125 0.90292 0.89727 0.91113 0.90368 0.89433 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 C -0.15 -0.89 10.28 37.16 0.38 -0.51 16 2 C 0.05 0.36 6.47 37.16 0.24 0.60 16 3 O -0.36 -3.67 9.55 -54.82 -0.52 -4.19 16 4 C 0.07 0.60 2.28 -27.88 -0.06 0.53 16 5 H 0.08 0.50 6.89 -51.93 -0.36 0.15 16 6 C -0.18 -1.09 9.09 37.16 0.34 -0.75 16 7 C 0.52 5.75 7.04 -10.99 -0.08 5.68 16 8 O -0.52 -8.05 15.97 -14.03 -0.22 -8.27 16 9 N -0.61 -5.52 2.96 -172.65 -0.51 -6.04 16 10 C 0.11 1.06 6.12 -3.66 -0.02 1.03 16 11 C -0.12 -1.11 4.59 -26.87 -0.12 -1.24 16 12 C -0.09 -0.91 0.61 -154.09 -0.09 -1.00 16 13 C 0.05 0.65 6.16 37.47 0.23 0.88 16 14 O -0.35 -6.30 11.10 -35.23 -0.39 -6.69 16 15 C 0.07 1.20 3.42 -25.62 -0.09 1.11 16 16 H 0.07 1.12 8.14 -51.93 -0.42 0.70 16 17 C 0.16 3.28 6.02 -4.04 -0.02 3.26 16 18 N -0.73 -19.20 5.53 -59.91 -0.33 -19.53 16 19 C -0.24 -6.88 9.99 -15.06 -0.15 -7.03 16 20 H 0.07 1.94 7.83 -52.49 -0.41 1.52 16 21 C -0.01 -0.43 5.50 -17.43 -0.10 -0.53 16 22 N -0.93 -28.92 13.06 55.49 0.72 -28.19 16 23 Si 0.91 22.75 29.55 -169.99 -5.02 17.72 16 24 H -0.28 -6.79 7.11 56.52 0.40 -6.38 16 25 H -0.29 -7.33 7.11 56.52 0.40 -6.93 16 26 H -0.29 -7.35 7.11 56.52 0.40 -6.95 16 27 C -0.14 -1.62 5.67 -24.92 -0.14 -1.76 16 28 C -0.12 -0.91 4.62 -26.88 -0.12 -1.04 16 29 C 0.10 0.65 4.91 -3.66 -0.02 0.63 16 30 H 0.06 0.44 8.14 -51.92 -0.42 0.02 16 31 H 0.07 0.28 8.14 -51.93 -0.42 -0.14 16 32 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.05 0.28 8.08 -51.93 -0.42 -0.14 16 34 H 0.05 0.25 8.01 -51.93 -0.42 -0.16 16 35 H 0.07 0.32 8.01 -51.93 -0.42 -0.10 16 36 H 0.08 0.38 5.97 -51.93 -0.31 0.07 16 37 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 38 H 0.09 1.02 7.02 -51.93 -0.36 0.66 16 39 H 0.07 0.66 6.90 -51.93 -0.36 0.31 16 40 H 0.08 0.79 8.14 -51.93 -0.42 0.36 16 41 H 0.07 0.65 8.14 -51.94 -0.42 0.23 16 42 H 0.06 0.66 6.61 -51.93 -0.34 0.32 16 43 H 0.08 0.86 6.44 -51.93 -0.33 0.52 16 44 H 0.02 0.50 8.13 -51.93 -0.42 0.08 16 45 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 46 H 0.39 10.94 7.62 -40.82 -0.31 10.63 16 47 H 0.25 7.58 8.31 -40.82 -0.34 7.24 16 48 H 0.08 0.93 7.75 -51.93 -0.40 0.53 16 49 H 0.08 0.83 7.83 -51.93 -0.41 0.42 16 50 H 0.08 0.63 8.14 -51.93 -0.42 0.21 16 51 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 52 H 0.08 0.49 6.80 -51.93 -0.35 0.14 16 53 H 0.09 0.41 4.71 -51.93 -0.24 0.16 16 LS Contribution 406.16 15.07 6.12 6.12 Total: -1.00 -36.12 406.16 -9.23 -45.35 By element: Atomic # 1 Polarization: 13.08 SS G_CDS: -9.23 Total: 3.85 kcal Atomic # 6 Polarization: -0.29 SS G_CDS: 0.17 Total: -0.12 kcal Atomic # 7 Polarization: -53.64 SS G_CDS: -0.12 Total: -53.76 kcal Atomic # 8 Polarization: -18.01 SS G_CDS: -1.14 Total: -19.15 kcal Atomic # 14 Polarization: 22.75 SS G_CDS: -5.02 Total: 17.72 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -36.12 -9.23 -45.35 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. ZINC001755464831.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 -69.225 kcal (2) G-P(sol) polarization free energy of solvation -36.123 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.347 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.225 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.348 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.573 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.21 seconds