Wall clock time and date at job start Sat Apr 11 2020 06:12:07 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 1.42895 * 1 3 3 C 1.42900 * 114.00191 * 2 1 4 4 H 1.09005 * 109.46781 * 337.71325 * 3 2 1 5 5 C 1.50700 * 109.47602 * 217.71536 * 3 2 1 6 6 O 1.21285 * 119.99632 * 354.99490 * 5 3 2 7 7 N 1.34773 * 120.00465 * 174.99945 * 5 3 2 8 8 C 1.46927 * 120.62575 * 359.71492 * 7 5 3 9 9 C 1.52764 * 109.00828 * 233.58097 * 8 7 5 10 10 C 1.53041 * 109.38443 * 305.59543 * 9 8 7 11 11 O 1.42898 * 109.44802 * 181.25231 * 10 9 8 12 12 C 1.42897 * 114.00354 * 89.93434 * 11 10 9 13 13 C 1.52998 * 109.47468 * 180.02562 * 12 11 10 14 14 C 1.52993 * 109.47401 * 180.02562 * 13 12 11 15 15 N 1.46503 * 109.47313 * 179.97438 * 14 13 12 16 16 C 1.36935 * 120.00077 * 179.97438 * 15 14 13 17 17 H 1.08003 * 119.99831 * 0.02562 * 16 15 14 18 18 C 1.38811 * 120.00496 * 180.02562 * 16 15 14 19 19 N 1.31623 * 119.99457 * 359.97438 * 18 16 15 20 20 Si 1.86790 * 120.00493 * 180.02562 * 18 16 15 21 21 H 1.48498 * 109.47221 * 0.02562 * 20 18 16 22 22 H 1.48505 * 109.47150 * 120.00164 * 20 18 16 23 23 H 1.48505 * 109.47245 * 239.99783 * 20 18 16 24 24 C 1.53040 * 109.53971 * 61.23744 * 10 9 8 25 25 C 1.46923 * 120.63180 * 179.97438 * 7 5 3 26 26 C 1.53002 * 109.47292 * 97.70650 * 3 2 1 27 27 C 1.53006 * 117.49369 * 57.15346 * 26 3 2 28 28 C 1.53004 * 60.02725 * 252.49910 * 27 26 3 29 29 H 1.08994 * 109.47279 * 305.35115 * 1 2 3 30 30 H 1.09006 * 109.46738 * 65.35305 * 1 2 3 31 31 H 1.09004 * 109.47211 * 185.34857 * 1 2 3 32 32 H 1.08991 * 109.59209 * 353.42125 * 8 7 5 33 33 H 1.09001 * 109.58603 * 113.84639 * 8 7 5 34 34 H 1.08997 * 109.56520 * 185.55196 * 9 8 7 35 35 H 1.08999 * 109.35340 * 65.50384 * 9 8 7 36 36 H 1.09002 * 109.45625 * 301.21646 * 10 9 8 37 37 H 1.09000 * 109.47048 * 299.99958 * 12 11 10 38 38 H 1.09003 * 109.46845 * 59.99801 * 12 11 10 39 39 H 1.09000 * 109.46661 * 299.99839 * 13 12 11 40 40 H 1.08991 * 109.47357 * 59.99448 * 13 12 11 41 41 H 1.08998 * 109.47046 * 299.99816 * 14 13 12 42 42 H 1.09001 * 109.47731 * 59.99186 * 14 13 12 43 43 H 0.96996 * 120.00058 * 0.02562 * 15 14 13 44 44 H 0.97000 * 120.00041 * 180.02562 * 19 18 16 45 45 H 1.08995 * 109.49432 * 178.68610 * 24 10 9 46 46 H 1.08996 * 109.52700 * 58.60306 * 24 10 9 47 47 H 1.08996 * 109.58462 * 246.15394 * 25 7 5 48 48 H 1.08996 * 109.58417 * 6.44075 * 25 7 5 49 49 H 1.08999 * 115.54812 * 202.81911 * 26 3 2 50 50 H 1.08993 * 117.49869 * 359.97438 * 27 26 3 51 51 H 1.08999 * 117.49669 * 144.99577 * 27 26 3 52 52 H 1.08996 * 117.49620 * 107.50762 * 28 27 26 53 53 H 1.09000 * 117.49440 * 252.51828 * 28 27 26 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 1.4289 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 1 1.2893 2.0241 -0.3898 5 6 3.2413 1.3073 -0.8691 6 8 3.6387 0.2717 -1.3598 7 7 3.9008 2.4595 -1.1012 8 6 3.4280 3.7229 -0.5188 9 6 3.2612 4.7533 -1.6342 10 6 4.5716 4.8724 -2.4158 11 8 4.4261 5.8571 -3.4411 12 6 4.7754 7.1803 -3.0301 13 6 4.5818 8.1460 -4.2009 14 6 4.9564 9.5626 -3.7609 15 7 4.7715 10.4872 -4.8822 16 6 5.0455 11.8194 -4.7235 17 1 5.3983 12.1885 -3.7718 18 6 4.8699 12.6956 -5.7857 19 7 4.4405 12.2456 -6.9457 20 14 5.2443 14.5127 -5.5694 21 1 5.7107 14.7602 -4.1815 22 1 6.3049 14.9170 -6.5270 23 1 4.0155 15.3056 -5.8281 24 6 4.9137 3.5224 -3.0502 25 6 5.1028 2.4771 -1.9459 26 6 2.3944 1.6927 1.4295 27 6 3.3518 0.7644 2.1797 28 6 1.8719 0.8102 2.5658 29 1 -0.3633 0.5946 0.8381 30 1 -0.3633 0.4286 -0.9341 31 1 -0.3634 -1.0232 0.0958 32 1 2.4695 3.5618 -0.0256 33 1 4.1571 4.0870 0.2051 34 1 3.0060 5.7208 -1.2021 35 1 2.4648 4.4328 -2.3058 36 1 5.3726 5.1689 -1.7386 37 1 4.1370 7.4834 -2.2002 38 1 5.8178 7.1987 -2.7120 39 1 5.2200 7.8430 -5.0310 40 1 3.5393 8.1275 -4.5186 41 1 4.3185 9.8658 -2.9307 42 1 5.9990 9.5808 -3.4435 43 1 4.4544 10.1557 -5.7369 44 1 4.3181 12.8578 -7.6882 45 1 5.8347 3.6140 -3.6259 46 1 4.1021 3.2133 -3.7089 47 1 5.9710 2.7377 -1.3405 48 1 5.2502 1.4936 -2.3920 49 1 2.4778 2.7626 1.6204 50 1 3.7075 -0.1222 1.6550 51 1 4.0649 1.2237 2.8642 52 1 1.2546 -0.0463 2.2950 53 1 1.6116 1.2997 3.5042 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 ZINC001717518364.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 06:12:07 Heat of formation + Delta-G solvation = -88.433482 kcal Electronic energy + Delta-G solvation = -29832.531734 eV Core-core repulsion = 25705.734712 eV Total energy + Delta-G solvation = -4126.797022 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -41.04063 -39.29033 -38.23701 -36.81118 -36.28561 -35.13449 -32.90115 -32.00976 -31.54467 -29.70353 -29.17973 -26.68157 -25.56588 -24.68778 -23.65197 -22.83729 -22.48374 -21.96847 -21.08127 -20.73637 -19.54815 -17.80891 -17.42839 -17.04092 -16.88261 -16.73264 -16.00748 -15.79739 -15.36534 -15.13177 -14.94474 -14.78652 -14.50993 -14.38469 -14.08568 -13.64402 -13.46560 -13.31147 -13.22471 -13.05409 -12.89011 -12.53156 -12.34391 -12.16812 -11.88503 -11.83698 -11.67566 -11.49188 -11.26722 -11.11327 -10.96347 -10.91598 -10.85983 -10.72911 -10.61737 -10.56076 -10.34161 -10.03263 -9.75694 -9.72510 -9.50460 -9.09268 -8.88924 -6.93535 -5.77113 -3.06384 2.20629 2.31254 3.18979 3.35702 3.42742 3.47148 3.50448 3.53829 3.99844 4.14603 4.24827 4.33833 4.49106 4.54578 4.59176 4.62713 4.69552 4.74827 4.79534 4.85885 4.90924 4.93677 5.04324 5.11075 5.13146 5.20598 5.24511 5.25250 5.31121 5.38801 5.43399 5.48875 5.56030 5.58265 5.61441 5.62695 5.75725 5.77863 5.88833 5.99912 6.06483 6.10379 6.26191 6.35242 6.51814 6.81328 6.85215 6.95552 7.24400 7.69133 7.79898 8.41616 9.52606 10.10588 10.45306 11.45879 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.024342 B = 0.001584 C = 0.001560 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1150.001920 B =17675.908453 C =17948.489936 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 O -0.355 6.355 3 C 0.102 3.898 4 H 0.092 0.908 5 C 0.522 3.478 6 O -0.521 6.521 7 N -0.608 5.608 8 C 0.107 3.893 9 C -0.161 4.161 10 C 0.091 3.909 11 O -0.380 6.380 12 C 0.068 3.932 13 C -0.125 4.125 14 C 0.157 3.843 15 N -0.733 5.733 16 C -0.241 4.241 17 H 0.071 0.929 18 C -0.015 4.015 19 N -0.933 5.933 20 Si 0.909 3.091 21 H -0.280 1.280 22 H -0.291 1.291 23 H -0.291 1.291 24 C -0.132 4.132 25 C 0.116 3.884 26 C -0.190 4.190 27 C -0.164 4.164 28 C -0.163 4.163 29 H 0.047 0.953 30 H 0.045 0.955 31 H 0.091 0.909 32 H 0.088 0.912 33 H 0.075 0.925 34 H 0.082 0.918 35 H 0.077 0.923 36 H 0.062 0.938 37 H 0.047 0.953 38 H 0.048 0.952 39 H 0.070 0.930 40 H 0.069 0.931 41 H 0.018 0.982 42 H 0.019 0.981 43 H 0.385 0.615 44 H 0.255 0.745 45 H 0.085 0.915 46 H 0.076 0.924 47 H 0.071 0.929 48 H 0.098 0.902 49 H 0.120 0.880 50 H 0.100 0.900 51 H 0.095 0.905 52 H 0.103 0.897 53 H 0.096 0.904 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.689 -26.083 20.166 33.457 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 -0.071 4.071 2 O -0.273 6.273 3 C 0.041 3.959 4 H 0.109 0.891 5 C 0.309 3.691 6 O -0.395 6.395 7 N -0.344 5.344 8 C -0.016 4.016 9 C -0.199 4.199 10 C 0.033 3.967 11 O -0.299 6.299 12 C -0.009 4.009 13 C -0.163 4.163 14 C 0.029 3.971 15 N -0.378 5.378 16 C -0.372 4.372 17 H 0.089 0.911 18 C -0.211 4.211 19 N -0.581 5.581 20 Si 0.740 3.260 21 H -0.206 1.206 22 H -0.218 1.218 23 H -0.218 1.218 24 C -0.170 4.170 25 C -0.006 4.006 26 C -0.209 4.209 27 C -0.201 4.201 28 C -0.200 4.200 29 H 0.066 0.934 30 H 0.063 0.937 31 H 0.110 0.890 32 H 0.106 0.894 33 H 0.093 0.907 34 H 0.101 0.899 35 H 0.095 0.905 36 H 0.080 0.920 37 H 0.065 0.935 38 H 0.067 0.933 39 H 0.088 0.912 40 H 0.088 0.912 41 H 0.036 0.964 42 H 0.037 0.963 43 H 0.218 0.782 44 H 0.065 0.935 45 H 0.104 0.896 46 H 0.095 0.905 47 H 0.089 0.911 48 H 0.117 0.883 49 H 0.138 0.862 50 H 0.118 0.882 51 H 0.114 0.886 52 H 0.121 0.879 53 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges -5.381 -26.723 19.793 33.687 hybrid contribution -0.115 1.486 0.022 1.490 sum -5.496 -25.237 19.815 32.554 Atomic orbital electron populations 1.22960 0.80374 1.03363 1.00417 1.88017 1.19879 1.24806 1.94573 1.21365 0.94146 0.87030 0.93380 0.89069 1.20335 0.84612 0.83340 0.80837 1.90716 1.67060 1.31349 1.50396 1.48031 1.28479 1.07323 1.50563 1.21804 1.00680 0.83461 0.95694 1.22415 0.99792 0.99588 0.98134 1.21970 0.95831 0.89095 0.89799 1.87956 1.88395 1.16706 1.36814 1.22534 0.98642 0.81850 0.97854 1.21668 1.02927 0.94253 0.97420 1.20509 0.97336 0.87435 0.91813 1.42348 1.80497 1.04471 1.10439 1.19283 1.36984 0.84058 0.96871 0.91081 1.24770 1.02225 0.98251 0.95865 1.69680 1.52517 1.34008 1.01915 0.86092 0.77472 0.85263 0.77206 1.20553 1.21824 1.21834 1.22002 1.03754 0.93074 0.98171 1.21615 0.86271 1.00972 0.91722 1.22855 1.08088 0.98179 0.91743 1.22915 0.92922 1.01574 1.02673 1.22966 0.97578 1.01993 0.97447 0.93400 0.93676 0.89016 0.89356 0.90710 0.89949 0.90468 0.91987 0.93462 0.93346 0.91167 0.91206 0.96380 0.96345 0.78177 0.93521 0.89625 0.90543 0.91074 0.88328 0.86184 0.88199 0.88620 0.87856 0.88597 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 0.03 0.14 10.02 101.05 1.01 1.16 16 2 O -0.36 -3.30 8.55 -55.09 -0.47 -3.78 16 3 C 0.10 0.80 2.14 -27.88 -0.06 0.74 16 4 H 0.09 0.54 7.01 -51.93 -0.36 0.18 16 5 C 0.52 5.42 6.84 -10.99 -0.08 5.35 16 6 O -0.52 -7.54 15.92 -14.31 -0.23 -7.77 16 7 N -0.61 -5.04 2.98 -173.01 -0.52 -5.56 16 8 C 0.11 0.63 5.43 -3.93 -0.02 0.61 16 9 C -0.16 -1.23 5.68 -26.83 -0.15 -1.38 16 10 C 0.09 0.86 2.57 -26.69 -0.07 0.79 16 11 O -0.38 -4.92 9.99 -35.23 -0.35 -5.28 16 12 C 0.07 0.89 5.75 37.16 0.21 1.10 16 13 C -0.12 -2.08 5.70 -26.74 -0.15 -2.23 16 14 C 0.16 3.16 6.26 -4.04 -0.03 3.14 16 15 N -0.73 -19.03 5.60 -59.91 -0.34 -19.37 16 16 C -0.24 -6.85 9.99 -15.06 -0.15 -7.00 16 17 H 0.07 1.95 7.83 -52.48 -0.41 1.54 16 18 C -0.02 -0.44 5.50 -17.43 -0.10 -0.54 16 19 N -0.93 -28.57 13.06 55.49 0.72 -27.84 16 20 Si 0.91 22.48 29.55 -169.99 -5.02 17.46 16 21 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 22 H -0.29 -7.22 7.11 56.52 0.40 -6.82 16 23 H -0.29 -7.22 7.11 56.52 0.40 -6.81 16 24 C -0.13 -1.17 5.73 -26.59 -0.15 -1.33 16 25 C 0.12 0.96 6.44 -3.69 -0.02 0.94 16 26 C -0.19 -1.14 4.86 -90.58 -0.44 -1.58 16 27 C -0.16 -1.12 9.85 -26.73 -0.26 -1.39 16 28 C -0.16 -0.93 9.61 -26.69 -0.26 -1.18 16 29 H 0.05 0.20 7.72 -51.93 -0.40 -0.20 16 30 H 0.04 0.24 8.14 -51.93 -0.42 -0.19 16 31 H 0.09 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.09 0.38 4.50 -51.93 -0.23 0.15 16 33 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 34 H 0.08 0.59 7.84 -51.93 -0.41 0.18 16 35 H 0.08 0.67 8.14 -51.93 -0.42 0.25 16 36 H 0.06 0.52 7.79 -51.93 -0.40 0.12 16 37 H 0.05 0.56 7.84 -51.93 -0.41 0.15 16 38 H 0.05 0.59 8.08 -51.93 -0.42 0.17 16 39 H 0.07 1.22 8.14 -51.93 -0.42 0.80 16 40 H 0.07 1.21 8.14 -51.93 -0.42 0.79 16 41 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 42 H 0.02 0.37 8.14 -51.93 -0.42 -0.05 16 43 H 0.38 10.50 7.67 -40.82 -0.31 10.19 16 44 H 0.25 7.50 8.31 -40.82 -0.34 7.16 16 45 H 0.09 0.74 8.14 -51.93 -0.42 0.31 16 46 H 0.08 0.78 8.14 -51.93 -0.42 0.35 16 47 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 48 H 0.10 0.95 7.00 -51.93 -0.36 0.58 16 49 H 0.12 0.51 6.49 -51.93 -0.34 0.17 16 50 H 0.10 0.90 8.14 -51.93 -0.42 0.48 16 51 H 0.10 0.54 8.14 -51.93 -0.42 0.12 16 52 H 0.10 0.64 6.34 -51.93 -0.33 0.32 16 53 H 0.10 0.41 8.14 -51.93 -0.42 -0.01 16 LS Contribution 417.74 15.07 6.30 6.30 Total: -1.00 -35.00 417.74 -10.06 -45.07 By element: Atomic # 1 Polarization: 13.02 SS G_CDS: -9.44 Total: 3.58 kcal Atomic # 6 Polarization: -2.09 SS G_CDS: -0.71 Total: -2.80 kcal Atomic # 7 Polarization: -52.64 SS G_CDS: -0.13 Total: -52.77 kcal Atomic # 8 Polarization: -15.77 SS G_CDS: -1.05 Total: -16.82 kcal Atomic # 14 Polarization: 22.48 SS G_CDS: -5.02 Total: 17.46 kcal Total LS contribution 6.30 Total: 6.30 kcal Total: -35.00 -10.06 -45.07 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. ZINC001717518364.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 -43.368 kcal (2) G-P(sol) polarization free energy of solvation -35.003 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -78.372 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.062 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.065 kcal (6) G-S(sol) free energy of system = (1) + (5) -88.433 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds