Wall clock time and date at job start Tue Mar 31 2020 23:31:50 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 O 1.42902 * 1 3 3 C 1.42900 * 114.00028 * 2 1 4 4 C 1.53001 * 109.47013 * 180.02562 * 3 2 1 5 5 C 1.50701 * 109.53784 * 299.99882 * 4 3 2 6 6 O 1.21286 * 119.99881 * 239.81504 * 5 4 3 7 7 N 1.34775 * 120.00110 * 59.83056 * 5 4 3 8 8 C 1.46505 * 119.99699 * 179.97438 * 7 5 4 9 9 H 1.08993 * 109.50238 * 35.06465 * 8 7 5 10 10 C 1.53049 * 109.49259 * 155.15756 * 8 7 5 11 11 C 1.53035 * 109.53962 * 58.58860 * 10 8 7 12 12 C 1.52764 * 109.38415 * 61.23346 * 11 10 8 13 13 H 1.08996 * 109.43101 * 65.43237 * 12 11 10 14 14 C 1.53001 * 109.50598 * 185.70795 * 12 11 10 15 15 N 1.46926 * 109.00895 * 305.58863 * 12 11 10 16 16 C 1.36939 * 120.62908 * 233.58264 * 15 12 11 17 17 H 1.07997 * 120.00283 * 31.05772 * 16 15 12 18 18 C 1.38811 * 119.99514 * 211.33677 * 16 15 12 19 19 N 1.31618 * 120.00392 * 11.04221 * 18 16 15 20 20 Si 1.86804 * 119.99567 * 191.03944 * 18 16 15 21 21 H 1.48502 * 109.46910 * 59.99997 * 20 18 16 22 22 H 1.48504 * 109.46927 * 179.97438 * 20 18 16 23 23 H 1.48494 * 109.47392 * 300.00101 * 20 18 16 24 24 C 1.46926 * 118.73680 * 53.31228 * 15 12 11 25 25 C 1.53179 * 109.61579 * 60.22233 * 4 3 2 26 26 C 1.53090 * 109.15987 * 176.89402 * 25 4 3 27 27 O 1.42905 * 109.41420 * 302.39022 * 26 25 4 28 28 C 1.42896 * 114.09736 * 61.16044 * 27 26 25 29 29 C 1.53093 * 109.41556 * 298.84139 * 28 27 26 30 30 H 1.08998 * 109.47297 * 180.02562 * 1 2 3 31 31 H 1.08998 * 109.47126 * 300.00274 * 1 2 3 32 32 H 1.09001 * 109.47388 * 59.99571 * 1 2 3 33 33 H 1.09004 * 109.46897 * 60.00223 * 3 2 1 34 34 H 1.08997 * 109.47125 * 300.00008 * 3 2 1 35 35 H 0.96996 * 120.00176 * 359.97438 * 7 5 4 36 36 H 1.08999 * 109.45395 * 178.60434 * 10 8 7 37 37 H 1.08995 * 109.46129 * 298.57549 * 10 8 7 38 38 H 1.08999 * 109.49880 * 181.31774 * 11 10 8 39 39 H 1.09008 * 109.49472 * 301.37904 * 11 10 8 40 40 H 1.09007 * 109.46974 * 179.53204 * 14 12 11 41 41 H 1.08998 * 109.47367 * 299.52557 * 14 12 11 42 42 H 1.08997 * 109.47548 * 59.53253 * 14 12 11 43 43 H 0.97001 * 120.00201 * 180.02562 * 19 18 16 44 44 H 1.09001 * 109.58607 * 66.42474 * 24 15 12 45 45 H 1.08997 * 109.58167 * 186.85260 * 24 15 12 46 46 H 1.09004 * 109.51788 * 296.79388 * 25 4 3 47 47 H 1.08995 * 109.52530 * 56.98664 * 25 4 3 48 48 H 1.09001 * 109.47831 * 182.40883 * 26 25 4 49 49 H 1.09000 * 109.48504 * 62.37511 * 26 25 4 50 50 H 1.09002 * 109.48287 * 178.85918 * 28 27 26 51 51 H 1.08997 * 109.48217 * 58.82657 * 28 27 26 52 52 H 1.09000 * 109.52351 * 297.70061 * 29 28 27 53 53 H 1.09002 * 109.57591 * 177.54905 * 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 6 3.5355 1.1846 -0.0006 5 6 3.9823 0.4367 1.2290 6 8 4.7275 0.9683 2.0247 7 7 3.5541 -0.8230 1.4443 8 6 3.9890 -1.5502 2.6395 9 1 4.0840 -0.8553 3.4738 10 6 2.9579 -2.6269 2.9856 11 6 2.7998 -3.5837 1.8018 12 6 4.1369 -4.2668 1.5200 13 1 4.4041 -4.9028 2.3638 14 6 4.0200 -5.1147 0.2518 15 7 5.1693 -3.2385 1.3316 16 6 5.9508 -3.2323 0.2071 17 1 5.5535 -3.5968 -0.7286 18 6 7.2555 -2.7629 0.2714 19 7 7.8140 -2.5290 1.4400 20 14 8.2187 -2.4632 -1.3009 21 1 7.5137 -1.4512 -2.1280 22 1 9.5766 -1.9661 -0.9623 23 1 8.3315 -3.7332 -2.0621 24 6 5.3432 -2.2136 2.3698 25 6 3.9910 0.4299 -1.2533 26 6 5.5209 0.3826 -1.2829 27 8 6.0379 1.7145 -1.2541 28 6 5.6836 2.4527 -0.0830 29 6 4.1603 2.5831 -0.0051 30 1 -0.3634 -1.0276 0.0005 31 1 -0.3633 0.5139 0.8899 32 1 -0.3634 0.5139 -0.8899 33 1 1.6886 1.8463 0.8900 34 1 1.6886 1.8464 -0.8900 35 1 2.9581 -1.2480 0.8081 36 1 3.2941 -3.1838 3.8602 37 1 1.9992 -2.1554 3.2018 38 1 2.0483 -4.3363 2.0401 39 1 2.4869 -3.0235 0.9205 40 1 4.9767 -5.5953 0.0466 41 1 3.2538 -5.8768 0.3935 42 1 3.7466 -4.4763 -0.5883 43 1 8.7257 -2.2006 1.4849 44 1 5.7108 -2.6787 3.2845 45 1 6.0558 -1.4634 2.0269 46 1 3.5956 -0.5857 -1.2306 47 1 3.6252 0.9444 -2.1418 48 1 5.8516 -0.1161 -2.1940 49 1 5.8845 -0.1674 -0.4149 50 1 6.1315 3.4453 -0.1295 51 1 6.0493 1.9298 0.8008 52 1 3.7978 3.1413 -0.8683 53 1 3.8849 3.1080 0.9097 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 ZINC001132102597.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 23:31:50 Heat of formation + Delta-G solvation = -110.275876 kcal Electronic energy + Delta-G solvation = -34687.838419 eV Core-core repulsion = 30560.094240 eV Total energy + Delta-G solvation = -4127.744179 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.28 seconds Orbital eigenvalues (eV) -40.61005 -38.41174 -37.72598 -37.06627 -34.01070 -33.89896 -32.69722 -30.96810 -30.18618 -29.78727 -28.12565 -26.22799 -25.99409 -24.94798 -23.32147 -23.16257 -22.13934 -21.76992 -20.37032 -19.17242 -18.60884 -16.70854 -16.44900 -16.35156 -16.03945 -15.65570 -15.48631 -15.25179 -14.73546 -14.66903 -14.29205 -14.08261 -13.81904 -13.71532 -13.49711 -13.27437 -13.07301 -12.64746 -12.48841 -12.35889 -12.08922 -12.02041 -11.88808 -11.66929 -11.42474 -11.11452 -11.10635 -10.94114 -10.87654 -10.79578 -10.58773 -10.37624 -10.34651 -10.23666 -10.04872 -9.89961 -9.79842 -9.47443 -9.39730 -9.22388 -8.77199 -8.39148 -8.15653 -6.49984 -5.69061 -3.16269 3.21723 3.41596 3.47125 3.51223 3.57596 3.88127 4.35425 4.53850 4.75623 4.85199 4.92715 5.18756 5.19576 5.28264 5.33406 5.37697 5.38544 5.43022 5.44172 5.53996 5.55415 5.59544 5.63478 5.67396 5.88778 5.93432 5.96825 6.07613 6.09148 6.18898 6.20464 6.22009 6.38596 6.39486 6.40910 6.44081 6.51136 6.58301 6.62983 6.68868 6.80816 6.98411 7.02353 7.11599 7.22859 7.51412 7.67071 7.78095 7.88154 8.34666 8.56325 8.98764 9.30164 9.93243 10.51346 11.38350 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009294 B = 0.007205 C = 0.005083 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3012.058532 B = 3885.340420 C = 5507.410211 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.386 6.386 3 C 0.078 3.922 4 C -0.079 4.079 5 C 0.525 3.475 6 O -0.552 6.552 7 N -0.683 5.683 8 C 0.115 3.885 9 H 0.071 0.929 10 C -0.116 4.116 11 C -0.129 4.129 12 C 0.166 3.834 13 H 0.022 0.978 14 C -0.135 4.135 15 N -0.581 5.581 16 C -0.248 4.248 17 H 0.065 0.935 18 C 0.010 3.990 19 N -0.899 5.899 20 Si 0.887 3.113 21 H -0.275 1.275 22 H -0.292 1.292 23 H -0.286 1.286 24 C 0.165 3.835 25 C -0.131 4.131 26 C 0.054 3.946 27 O -0.389 6.389 28 C 0.051 3.949 29 C -0.123 4.123 30 H 0.087 0.913 31 H 0.039 0.961 32 H 0.040 0.960 33 H 0.053 0.947 34 H 0.058 0.942 35 H 0.404 0.596 36 H 0.067 0.933 37 H 0.048 0.952 38 H 0.050 0.950 39 H 0.057 0.943 40 H 0.060 0.940 41 H 0.035 0.965 42 H 0.051 0.949 43 H 0.253 0.747 44 H 0.022 0.978 45 H 0.096 0.904 46 H 0.087 0.913 47 H 0.071 0.929 48 H 0.094 0.906 49 H 0.073 0.927 50 H 0.086 0.914 51 H 0.081 0.919 52 H 0.071 0.929 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.003 5.956 -2.452 16.327 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 -0.062 4.062 2 O -0.304 6.304 3 C 0.001 3.999 4 C -0.082 4.082 5 C 0.310 3.690 6 O -0.431 6.431 7 N -0.335 5.335 8 C 0.009 3.991 9 H 0.089 0.911 10 C -0.154 4.154 11 C -0.169 4.169 12 C 0.059 3.941 13 H 0.040 0.960 14 C -0.192 4.192 15 N -0.304 5.304 16 C -0.377 4.377 17 H 0.083 0.917 18 C -0.189 4.189 19 N -0.543 5.543 20 Si 0.717 3.283 21 H -0.201 1.201 22 H -0.218 1.218 23 H -0.212 1.212 24 C 0.038 3.962 25 C -0.169 4.169 26 C -0.022 4.022 27 O -0.308 6.308 28 C -0.025 4.025 29 C -0.162 4.162 30 H 0.105 0.895 31 H 0.058 0.942 32 H 0.058 0.942 33 H 0.071 0.929 34 H 0.076 0.924 35 H 0.242 0.758 36 H 0.086 0.914 37 H 0.067 0.933 38 H 0.069 0.931 39 H 0.076 0.924 40 H 0.079 0.921 41 H 0.054 0.946 42 H 0.070 0.930 43 H 0.063 0.937 44 H 0.040 0.960 45 H 0.114 0.886 46 H 0.105 0.895 47 H 0.090 0.910 48 H 0.112 0.888 49 H 0.091 0.909 50 H 0.104 0.896 51 H 0.100 0.900 52 H 0.090 0.910 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges -14.072 6.248 -1.992 15.525 hybrid contribution -0.182 0.057 -0.847 0.868 sum -14.254 6.305 -2.839 15.843 Atomic orbital electron populations 1.22717 0.80848 1.02874 0.99741 1.87790 1.19756 1.27561 1.95332 1.22491 0.91812 0.85011 1.00620 1.20958 0.94049 0.97289 0.95900 1.19944 0.80522 0.82254 0.86288 1.90610 1.36510 1.68699 1.47326 1.45901 1.48843 1.13320 1.25427 1.21777 0.97650 0.92665 0.86995 0.91139 1.21653 0.97995 0.97012 0.98766 1.21984 0.99087 0.98140 0.97684 1.20365 0.88347 0.89999 0.95373 0.95993 1.21788 1.00687 0.98489 0.98246 1.43968 1.38566 1.26575 1.21301 1.18986 0.91572 1.39598 0.87583 0.91733 1.25087 0.96183 1.01798 0.95848 1.69937 1.13531 1.48650 1.22208 0.86671 0.79772 0.78144 0.83702 1.20142 1.21777 1.21247 1.21162 0.91649 0.92046 0.91335 1.22132 0.97865 1.01517 0.95421 1.22785 0.91785 0.83640 1.03991 1.87844 1.74981 1.26031 1.41901 1.22753 0.93008 0.96827 0.89961 1.21928 0.97762 0.93928 1.02532 0.89468 0.94224 0.94154 0.92918 0.92381 0.75779 0.91446 0.93279 0.93140 0.92450 0.92095 0.94582 0.92988 0.93651 0.96005 0.88556 0.89477 0.91044 0.88833 0.90856 0.89617 0.90049 0.91038 0.90382 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 0.03 0.31 11.01 101.05 1.11 1.42 16 2 O -0.39 -4.76 7.61 -35.23 -0.27 -5.03 16 3 C 0.08 0.94 4.81 37.16 0.18 1.12 16 4 C -0.08 -1.19 0.53 -155.48 -0.08 -1.27 16 5 C 0.53 9.81 5.11 -10.99 -0.06 9.75 16 6 O -0.55 -12.01 13.50 5.55 0.07 -11.94 16 7 N -0.68 -12.45 4.44 -53.69 -0.24 -12.68 16 8 C 0.12 2.23 2.81 -67.81 -0.19 2.04 16 9 H 0.07 1.42 7.58 -51.93 -0.39 1.03 16 10 C -0.12 -1.89 5.59 -26.69 -0.15 -2.04 16 11 C -0.13 -2.11 5.18 -26.83 -0.14 -2.25 16 12 C 0.17 3.27 3.48 -67.82 -0.24 3.03 16 13 H 0.02 0.46 8.14 -51.93 -0.42 0.04 16 14 C -0.13 -2.43 7.95 37.16 0.30 -2.14 16 15 N -0.58 -13.55 2.91 -165.03 -0.48 -14.03 16 16 C -0.25 -6.34 8.54 -15.06 -0.13 -6.46 16 17 H 0.07 1.63 6.26 -52.49 -0.33 1.30 16 18 C 0.01 0.27 5.04 -17.43 -0.09 0.18 16 19 N -0.90 -26.05 11.09 55.49 0.62 -25.43 16 20 Si 0.89 21.64 29.57 -169.99 -5.03 16.61 16 21 H -0.28 -6.44 6.04 56.52 0.34 -6.10 16 22 H -0.29 -7.41 7.11 56.52 0.40 -7.01 16 23 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 24 C 0.16 3.90 4.86 -3.71 -0.02 3.88 16 25 C -0.13 -2.08 4.67 -26.59 -0.12 -2.21 16 26 C 0.05 1.05 6.54 37.20 0.24 1.30 16 27 O -0.39 -7.45 10.77 -35.23 -0.38 -7.83 16 28 C 0.05 0.87 6.55 37.21 0.24 1.11 16 29 C -0.12 -1.77 4.56 -26.59 -0.12 -1.89 16 30 H 0.09 0.69 8.14 -51.93 -0.42 0.27 16 31 H 0.04 0.32 8.14 -51.93 -0.42 -0.10 16 32 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 33 H 0.05 0.61 8.14 -51.93 -0.42 0.19 16 34 H 0.06 0.59 8.14 -51.93 -0.42 0.17 16 35 H 0.40 7.00 4.14 -40.82 -0.17 6.83 16 36 H 0.07 1.08 8.14 -51.93 -0.42 0.66 16 37 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 38 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 39 H 0.06 0.95 6.40 -51.92 -0.33 0.61 16 40 H 0.06 1.21 7.64 -51.93 -0.40 0.81 16 41 H 0.04 0.54 8.14 -51.93 -0.42 0.12 16 42 H 0.05 0.94 7.43 -51.93 -0.39 0.56 16 43 H 0.25 7.30 8.31 -40.82 -0.34 6.96 16 44 H 0.02 0.56 8.14 -51.93 -0.42 0.13 16 45 H 0.10 2.68 6.13 -51.93 -0.32 2.36 16 46 H 0.09 1.43 7.18 -51.93 -0.37 1.06 16 47 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 48 H 0.09 1.81 7.16 -51.93 -0.37 1.43 16 49 H 0.07 1.71 7.38 -51.93 -0.38 1.32 16 50 H 0.09 1.24 8.14 -51.93 -0.42 0.82 16 51 H 0.08 1.65 5.80 -51.93 -0.30 1.35 16 52 H 0.07 0.87 8.14 -51.93 -0.42 0.45 16 53 H 0.08 1.07 8.03 -51.93 -0.42 0.65 16 LS Contribution 390.81 15.07 5.89 5.89 Total: -1.00 -30.09 390.81 -8.36 -38.44 By element: Atomic # 1 Polarization: 19.70 SS G_CDS: -9.29 Total: 10.42 kcal Atomic # 6 Polarization: 4.84 SS G_CDS: 0.74 Total: 5.58 kcal Atomic # 7 Polarization: -52.05 SS G_CDS: -0.10 Total: -52.15 kcal Atomic # 8 Polarization: -24.22 SS G_CDS: -0.57 Total: -24.79 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -5.03 Total: 16.61 kcal Total LS contribution 5.89 Total: 5.89 kcal Total: -30.09 -8.36 -38.44 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. ZINC001132102597.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 -71.832 kcal (2) G-P(sol) polarization free energy of solvation -30.088 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.919 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.356 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.444 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.276 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.28 seconds