Wall clock time and date at job start Sat Apr 11 2020 06:11:42 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 1.42905 * 1 3 3 C 1.42902 * 113.99830 * 2 1 4 4 C 1.52998 * 109.46803 * 179.97438 * 3 2 1 5 5 C 1.52993 * 109.46134 * 60.02672 * 4 3 2 6 6 N 1.46504 * 109.47334 * 299.97056 * 5 4 3 7 7 C 1.34770 * 119.99809 * 180.02562 * 6 5 4 8 8 O 1.21277 * 120.00584 * 359.97438 * 7 6 5 9 9 C 1.50710 * 119.99789 * 180.02562 * 7 6 5 10 10 O 1.42897 * 109.47095 * 180.02562 * 9 7 6 11 11 C 1.42904 * 113.99571 * 180.02562 * 10 9 7 12 12 C 1.53002 * 109.46841 * 179.97438 * 11 10 9 13 13 C 1.52996 * 117.49806 * 243.62109 * 12 11 10 14 14 C 1.52992 * 117.50051 * 174.99657 * 12 11 10 15 15 C 1.53045 * 109.45677 * 180.02562 * 4 3 2 16 16 C 1.53189 * 109.31558 * 58.64106 * 15 4 3 17 17 N 1.46927 * 108.77596 * 54.63264 * 16 15 4 18 18 C 1.36937 * 120.62634 * 126.37089 * 17 16 15 19 19 H 1.07997 * 120.00342 * 332.15811 * 18 17 16 20 20 C 1.38808 * 119.99653 * 151.89331 * 18 17 16 21 21 N 1.31615 * 119.99878 * 343.01147 * 20 18 17 22 22 Si 1.86804 * 120.00113 * 163.02023 * 20 18 17 23 23 H 1.48499 * 109.47394 * 94.07396 * 22 20 18 24 24 H 1.48497 * 109.47180 * 214.07698 * 22 20 18 25 25 H 1.48498 * 109.46774 * 334.07706 * 22 20 18 26 26 C 1.46921 * 118.74117 * 306.64796 * 17 16 15 27 27 C 1.52764 * 109.00826 * 53.30371 * 26 17 16 28 28 H 1.08999 * 109.46907 * 179.97438 * 1 2 3 29 29 H 1.08992 * 109.47199 * 300.00173 * 1 2 3 30 30 H 1.09002 * 109.46827 * 60.00871 * 1 2 3 31 31 H 1.08997 * 109.47002 * 59.99508 * 3 2 1 32 32 H 1.08996 * 109.46735 * 299.99826 * 3 2 1 33 33 H 1.09000 * 109.47341 * 59.96908 * 5 4 3 34 34 H 1.09002 * 109.47186 * 179.97438 * 5 4 3 35 35 H 0.96998 * 119.99457 * 359.97438 * 6 5 4 36 36 H 1.09000 * 109.46699 * 299.99939 * 9 7 6 37 37 H 1.09003 * 109.46812 * 59.99582 * 9 7 6 38 38 H 1.08997 * 109.46766 * 299.99656 * 11 10 9 39 39 H 1.08994 * 109.47016 * 59.99928 * 11 10 9 40 40 H 1.09009 * 115.54917 * 29.32599 * 12 11 10 41 41 H 1.09000 * 117.50344 * 359.97438 * 13 12 11 42 42 H 1.09007 * 117.50205 * 145.01884 * 13 12 11 43 43 H 1.08998 * 117.50339 * 214.97982 * 14 12 11 44 44 H 1.09003 * 117.49622 * 0.02562 * 14 12 11 45 45 H 1.09006 * 109.49266 * 298.68780 * 15 4 3 46 46 H 1.09003 * 109.52173 * 178.61215 * 15 4 3 47 47 H 1.09002 * 109.58362 * 294.84721 * 16 15 4 48 48 H 1.09000 * 109.70426 * 174.49640 * 16 15 4 49 49 H 0.97005 * 120.00167 * 180.02562 * 21 20 18 50 50 H 1.08997 * 109.58753 * 173.14526 * 26 17 16 51 51 H 1.09000 * 109.58571 * 293.56740 * 26 17 16 52 52 H 1.09002 * 109.56043 * 185.55481 * 27 26 17 53 53 H 1.08997 * 109.38623 * 65.52180 * 27 26 17 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 1.4291 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5355 1.1846 0.0006 5 6 3.9872 0.4257 -1.2486 6 7 3.3917 -0.9128 -1.2489 7 6 3.6515 -1.7657 -2.2596 8 8 4.3778 -1.4250 -3.1691 9 6 3.0385 -3.1425 -2.2601 10 8 3.4615 -3.8517 -3.4263 11 6 2.9332 -5.1759 -3.5247 12 6 3.4490 -5.8369 -4.8045 13 6 2.4177 -6.2139 -5.8699 14 6 3.0895 -7.3060 -5.0352 15 6 4.1576 2.5829 0.0013 16 6 3.6757 3.3514 1.2358 17 7 3.9761 2.5567 2.4345 18 6 4.6849 3.1004 3.4724 19 1 5.3939 3.8933 3.2854 20 6 4.4880 2.6362 4.7657 21 7 3.4142 1.9327 5.0560 22 14 5.7470 3.0102 6.0941 23 1 5.3414 4.2346 6.8300 24 1 5.8239 1.8673 7.0391 25 1 7.0767 3.2260 5.4691 26 6 3.5068 1.1658 2.4960 27 6 3.9858 0.4236 1.2496 28 1 -0.3633 -1.0277 -0.0005 29 1 -0.3633 0.5138 0.8899 30 1 -0.3633 0.5137 -0.8901 31 1 1.6885 1.8464 0.8899 32 1 1.6886 1.8463 -0.8900 33 1 3.6654 0.9666 -2.1386 34 1 5.0738 0.3399 -1.2486 35 1 2.8111 -1.1854 -0.5213 36 1 3.3595 -3.6834 -1.3699 37 1 1.9519 -3.0564 -2.2608 38 1 3.2513 -5.7591 -2.6605 39 1 1.8445 -5.1316 -3.5524 40 1 4.4267 -5.4981 -5.1476 41 1 1.3717 -5.9914 -5.6590 42 1 2.7166 -6.1231 -6.9143 43 1 3.8304 -7.9337 -5.5303 44 1 2.4852 -7.8015 -4.2753 45 1 3.8552 3.1160 -0.9001 46 1 5.2441 2.4982 0.0266 47 1 2.6005 3.5164 1.1667 48 1 4.1895 4.3109 1.2951 49 1 3.2764 1.6086 5.9598 50 1 3.9112 0.6827 3.3854 51 1 2.4175 1.1489 2.5318 52 1 3.5611 -0.5802 1.2369 53 1 5.0738 0.3581 1.2633 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 ZINC001162131529.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 06:11:42 Heat of formation + Delta-G solvation = -77.633647 kcal Electronic energy + Delta-G solvation = -31002.185179 eV Core-core repulsion = 26875.856473 eV Total energy + Delta-G solvation = -4126.328706 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.30 seconds Orbital eigenvalues (eV) -40.06027 -39.06230 -38.21353 -36.78130 -36.55909 -34.76875 -33.05894 -30.94246 -30.01116 -29.19520 -27.43623 -27.06962 -25.86861 -24.93994 -23.81926 -22.73545 -22.33323 -21.14689 -20.86218 -20.20858 -18.37303 -17.42062 -17.08413 -16.59031 -16.46381 -16.10662 -15.85195 -15.60211 -15.08602 -14.92817 -14.81499 -14.57788 -14.30081 -13.89309 -13.64917 -13.50054 -13.37074 -13.22833 -12.69283 -12.57498 -12.48112 -12.31073 -11.92098 -11.84872 -11.61201 -11.40307 -11.34757 -11.30435 -10.97067 -10.80972 -10.72683 -10.59036 -10.53869 -10.26477 -10.18015 -9.96418 -9.79417 -9.71230 -9.50724 -9.44231 -9.37423 -8.74511 -8.46684 -6.68218 -5.81585 -3.23535 2.77893 2.80574 3.35516 3.42334 3.43283 3.45908 3.73252 4.01946 4.47814 4.48340 4.53462 4.76449 4.85856 4.96024 4.99449 5.02442 5.07243 5.11705 5.17481 5.26748 5.30347 5.32482 5.37530 5.39605 5.48243 5.50428 5.52644 5.63356 5.69900 5.73957 5.75036 5.86006 5.88092 5.93663 6.04678 6.13282 6.26242 6.40004 6.58996 6.63960 6.67073 6.73774 6.80596 6.88585 6.89098 7.26036 7.36078 7.64884 7.78052 7.84977 8.42730 8.46483 9.19204 9.82450 10.38667 11.26868 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017977 B = 0.002224 C = 0.002175 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1557.151461 B =12586.350849 C =12872.743843 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 -0.395 6.395 3 C 0.071 3.929 4 C -0.057 4.057 5 C 0.135 3.865 6 N -0.708 5.708 7 C 0.508 3.492 8 O -0.535 6.535 9 C 0.046 3.954 10 O -0.360 6.360 11 C 0.091 3.909 12 C -0.152 4.152 13 C -0.178 4.178 14 C -0.174 4.174 15 C -0.121 4.121 16 C 0.144 3.856 17 N -0.591 5.591 18 C -0.252 4.252 19 H 0.065 0.935 20 C 0.002 3.998 21 N -0.902 5.902 22 Si 0.901 3.099 23 H -0.288 1.288 24 H -0.290 1.290 25 H -0.279 1.279 26 C 0.173 3.827 27 C -0.126 4.126 28 H 0.080 0.920 29 H 0.044 0.956 30 H 0.036 0.964 31 H 0.071 0.929 32 H 0.041 0.959 33 H 0.060 0.940 34 H 0.065 0.935 35 H 0.412 0.588 36 H 0.078 0.922 37 H 0.078 0.922 38 H 0.055 0.945 39 H 0.051 0.949 40 H 0.116 0.884 41 H 0.095 0.905 42 H 0.096 0.904 43 H 0.098 0.902 44 H 0.095 0.905 45 H 0.055 0.945 46 H 0.069 0.931 47 H 0.017 0.983 48 H 0.056 0.944 49 H 0.253 0.747 50 H 0.085 0.915 51 H 0.020 0.980 52 H 0.054 0.946 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.559 -12.900 -15.424 21.150 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 -0.314 6.314 3 C -0.005 4.005 4 C -0.058 4.058 5 C 0.012 3.988 6 N -0.367 5.367 7 C 0.293 3.707 8 O -0.412 6.412 9 C -0.034 4.034 10 O -0.278 6.278 11 C 0.014 3.986 12 C -0.171 4.171 13 C -0.214 4.214 14 C -0.211 4.211 15 C -0.161 4.161 16 C 0.018 3.982 17 N -0.314 5.314 18 C -0.381 4.381 19 H 0.083 0.917 20 C -0.196 4.196 21 N -0.546 5.546 22 Si 0.730 3.270 23 H -0.215 1.215 24 H -0.216 1.216 25 H -0.204 1.204 26 C 0.047 3.953 27 C -0.165 4.165 28 H 0.099 0.901 29 H 0.062 0.938 30 H 0.054 0.946 31 H 0.089 0.911 32 H 0.060 0.940 33 H 0.078 0.922 34 H 0.084 0.916 35 H 0.254 0.746 36 H 0.096 0.904 37 H 0.096 0.904 38 H 0.074 0.926 39 H 0.069 0.931 40 H 0.134 0.866 41 H 0.113 0.887 42 H 0.114 0.886 43 H 0.116 0.884 44 H 0.114 0.886 45 H 0.074 0.926 46 H 0.088 0.912 47 H 0.035 0.965 48 H 0.074 0.926 49 H 0.063 0.937 50 H 0.103 0.897 51 H 0.038 0.962 52 H 0.073 0.927 53 H 0.075 0.925 Dipole moment (debyes) X Y Z Total from point charges -5.863 -12.797 -16.019 21.325 hybrid contribution -0.164 0.137 1.291 1.308 sum -6.027 -12.660 -14.728 20.335 Atomic orbital electron populations 1.22673 0.81321 1.02173 1.00001 1.87459 1.19396 1.29123 1.95411 1.22773 0.93132 0.83924 1.00715 1.20783 0.92987 0.96839 0.95190 1.21410 0.97837 0.82010 0.97570 1.46182 1.50621 1.14561 1.25295 1.20143 0.81811 0.86166 0.82609 1.90700 1.37128 1.77486 1.35868 1.22188 0.99385 0.92044 0.89816 1.88003 1.71701 1.26214 1.41927 1.22059 0.96903 0.83221 0.96383 1.22121 1.01025 0.97017 0.96892 1.23074 0.98081 1.03204 0.97090 1.22980 1.03800 0.91021 1.03327 1.22000 1.00947 0.93668 0.99439 1.20925 0.96722 0.93999 0.86603 1.44042 1.64123 1.07799 1.15443 1.19168 1.14740 1.18673 0.85556 0.91746 1.25028 0.96688 1.00836 0.97054 1.70031 1.24918 1.40475 1.19225 0.86314 0.81484 0.77401 0.81767 1.21514 1.21591 1.20430 1.20682 0.95972 0.84113 0.94532 1.22118 1.00583 0.98080 0.95729 0.90128 0.93753 0.94580 0.91136 0.94027 0.92199 0.91627 0.74596 0.90365 0.90435 0.92650 0.93056 0.86622 0.88667 0.88566 0.88364 0.88645 0.92638 0.91183 0.96477 0.92553 0.93706 0.89658 0.96218 0.92732 0.92489 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.04 0.37 11.01 101.05 1.11 1.48 16 2 O -0.39 -5.27 6.77 -35.23 -0.24 -5.51 16 3 C 0.07 1.04 4.05 37.16 0.15 1.19 16 4 C -0.06 -0.89 0.51 -154.47 -0.08 -0.97 16 5 C 0.14 2.03 4.56 -4.04 -0.02 2.01 16 6 N -0.71 -9.91 4.60 -60.29 -0.28 -10.19 16 7 C 0.51 7.64 7.91 -10.98 -0.09 7.55 16 8 O -0.54 -10.31 16.50 -14.35 -0.24 -10.55 16 9 C 0.05 0.52 6.42 36.01 0.23 0.75 16 10 O -0.36 -4.72 9.88 -55.14 -0.54 -5.26 16 11 C 0.09 0.84 6.22 37.16 0.23 1.07 16 12 C -0.15 -1.34 6.06 -90.62 -0.55 -1.89 16 13 C -0.18 -1.30 10.18 -26.73 -0.27 -1.57 16 14 C -0.17 -1.15 10.25 -26.74 -0.27 -1.42 16 15 C -0.12 -1.94 4.91 -26.61 -0.13 -2.07 16 16 C 0.14 2.81 6.05 -3.71 -0.02 2.78 16 17 N -0.59 -14.01 3.00 -172.59 -0.52 -14.53 16 18 C -0.25 -6.69 9.58 -15.06 -0.14 -6.83 16 19 H 0.06 1.69 7.89 -52.49 -0.41 1.28 16 20 C 0.00 0.07 4.91 -17.43 -0.09 -0.02 16 21 N -0.90 -25.44 11.22 55.49 0.62 -24.82 16 22 Si 0.90 21.33 29.59 -169.99 -5.03 16.30 16 23 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 24 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 25 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 26 C 0.17 3.87 4.81 -3.93 -0.02 3.85 16 27 C -0.13 -2.27 4.57 -26.83 -0.12 -2.39 16 28 H 0.08 0.69 8.14 -51.93 -0.42 0.26 16 29 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 30 H 0.04 0.35 8.14 -51.93 -0.42 -0.08 16 31 H 0.07 1.20 4.99 -51.93 -0.26 0.94 16 32 H 0.04 0.56 8.14 -51.93 -0.42 0.14 16 33 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 34 H 0.07 1.05 8.14 -51.93 -0.42 0.62 16 35 H 0.41 5.39 4.68 -40.82 -0.19 5.20 16 36 H 0.08 0.72 8.14 -51.93 -0.42 0.30 16 37 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 38 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 39 H 0.05 0.40 7.87 -51.93 -0.41 -0.01 16 40 H 0.12 1.15 8.14 -51.92 -0.42 0.72 16 41 H 0.09 0.64 8.03 -51.93 -0.42 0.22 16 42 H 0.10 0.65 8.14 -51.92 -0.42 0.23 16 43 H 0.10 0.56 8.14 -51.93 -0.42 0.14 16 44 H 0.10 0.54 8.14 -51.93 -0.42 0.11 16 45 H 0.05 0.76 8.14 -51.93 -0.42 0.34 16 46 H 0.07 1.18 8.14 -51.93 -0.42 0.75 16 47 H 0.02 0.34 6.69 -51.93 -0.35 -0.01 16 48 H 0.06 1.09 7.93 -51.93 -0.41 0.68 16 49 H 0.25 6.93 8.31 -40.82 -0.34 6.59 16 50 H 0.09 2.20 6.08 -51.93 -0.32 1.89 16 51 H 0.02 0.46 6.70 -51.93 -0.35 0.12 16 52 H 0.05 0.91 6.49 -51.93 -0.34 0.57 16 53 H 0.06 1.09 8.14 -51.93 -0.42 0.66 16 LS Contribution 410.80 15.07 6.19 6.19 Total: -1.00 -31.95 410.80 -9.46 -41.41 By element: Atomic # 1 Polarization: 12.78 SS G_CDS: -9.35 Total: 3.43 kcal Atomic # 6 Polarization: 3.60 SS G_CDS: -0.08 Total: 3.52 kcal Atomic # 7 Polarization: -49.36 SS G_CDS: -0.17 Total: -49.54 kcal Atomic # 8 Polarization: -20.30 SS G_CDS: -1.02 Total: -21.32 kcal Atomic # 14 Polarization: 21.33 SS G_CDS: -5.03 Total: 16.30 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -31.95 -9.46 -41.41 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. ZINC001162131529.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 -36.224 kcal (2) G-P(sol) polarization free energy of solvation -31.950 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -68.174 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.460 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.410 kcal (6) G-S(sol) free energy of system = (1) + (5) -77.634 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.30 seconds