Wall clock time and date at job start Tue Mar 31 2020 19:54:46 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 C 1.52996 * 109.47372 * 2 1 4 4 C 1.52998 * 109.47103 * 239.99828 * 2 1 3 5 5 C 1.50700 * 109.47019 * 119.99959 * 2 1 3 6 6 O 1.20786 * 120.00161 * 359.97438 * 5 2 1 7 7 C 1.49087 * 120.00299 * 179.97438 * 5 2 1 8 8 O 1.21371 * 119.99493 * 351.46072 * 7 5 2 9 9 N 1.34780 * 120.00578 * 171.45528 * 7 5 2 10 10 C 1.46926 * 120.62784 * 351.29758 * 9 7 5 11 11 C 1.53187 * 108.77514 * 233.58548 * 10 9 7 12 12 C 1.53042 * 109.31111 * 305.36559 * 11 10 9 13 13 C 1.53042 * 109.53984 * 61.36847 * 12 11 10 14 14 H 1.08991 * 109.49801 * 58.61713 * 13 12 11 15 15 C 1.52997 * 109.49950 * 178.68357 * 13 12 11 16 16 H 1.09006 * 110.91695 * 62.44319 * 15 13 12 17 17 C 1.55149 * 111.00620 * 186.34549 * 15 13 12 18 18 C 1.54335 * 103.02136 * 153.37811 * 17 15 13 19 19 N 1.47018 * 107.26796 * 338.14552 * 18 17 15 20 20 C 1.36937 * 125.65271 * 178.84903 * 19 18 17 21 21 H 1.07997 * 120.00117 * 179.69345 * 20 19 18 22 22 C 1.38816 * 119.99539 * 359.96358 * 20 19 18 23 23 N 1.31618 * 119.99861 * 359.72554 * 22 20 19 24 24 Si 1.86800 * 119.99869 * 179.72447 * 22 20 19 25 25 H 1.48504 * 109.47050 * 0.02562 * 24 22 20 26 26 H 1.48496 * 109.46913 * 119.99996 * 24 22 20 27 27 H 1.48492 * 109.47184 * 240.00108 * 24 22 20 28 28 C 1.47426 * 108.70022 * 358.58022 * 19 18 17 29 29 C 1.46927 * 120.63134 * 171.27494 * 9 7 5 30 30 H 1.08998 * 109.46770 * 299.99742 * 1 2 3 31 31 H 1.09001 * 109.47031 * 60.00022 * 1 2 3 32 32 H 1.08999 * 109.47253 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.47385 * 179.97438 * 3 2 1 34 34 H 1.09001 * 109.47025 * 299.99981 * 3 2 1 35 35 H 1.09004 * 109.47134 * 59.99695 * 3 2 1 36 36 H 1.09005 * 109.47436 * 299.99907 * 4 2 1 37 37 H 1.08997 * 109.47472 * 59.99900 * 4 2 1 38 38 H 1.09001 * 109.47326 * 180.02562 * 4 2 1 39 39 H 1.09000 * 109.58384 * 113.79603 * 10 9 7 40 40 H 1.08999 * 109.58568 * 353.37066 * 10 9 7 41 41 H 1.09002 * 109.49854 * 185.41531 * 11 10 9 42 42 H 1.09006 * 109.52559 * 65.32821 * 11 10 9 43 43 H 1.09001 * 109.46003 * 301.34181 * 12 11 10 44 44 H 1.09003 * 109.45006 * 181.37662 * 12 11 10 45 45 H 1.08993 * 110.72364 * 271.94117 * 17 15 13 46 46 H 1.09007 * 110.72018 * 35.21268 * 17 15 13 47 47 H 1.09003 * 109.99317 * 218.66506 * 18 17 15 48 48 H 1.09008 * 109.77626 * 97.49978 * 18 17 15 49 49 H 0.97002 * 119.99670 * 179.97438 * 23 22 20 50 50 H 1.09005 * 110.36605 * 143.19869 * 28 19 18 51 51 H 1.08998 * 110.36710 * 265.40869 * 28 19 18 52 52 H 1.08996 * 109.58691 * 6.62182 * 29 9 7 53 53 H 1.08998 * 109.58368 * 246.20370 * 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 6 2.0401 1.4424 0.0000 4 6 2.0400 -0.7213 -1.2492 5 6 2.0323 -0.7104 1.2305 6 8 1.2474 -1.1690 2.0258 7 6 3.4981 -0.8472 1.4662 8 8 4.2845 -0.5272 0.5989 9 7 3.9498 -1.3259 2.6423 10 6 3.0290 -1.5380 3.7674 11 6 3.5730 -0.8011 4.9953 12 6 5.0091 -1.2567 5.2639 13 6 5.8900 -0.9080 4.0620 14 1 5.8563 0.1670 3.8859 15 6 7.3319 -1.3342 4.3448 16 1 7.3991 -2.4137 4.4809 17 6 8.2846 -0.8555 3.2178 18 6 9.6432 -0.7325 3.9397 19 7 9.3628 -0.5893 5.3758 20 6 10.3028 -0.4746 6.3649 21 1 9.9935 -0.3685 7.3942 22 6 11.6533 -0.4891 6.0440 23 7 12.0303 -0.6186 4.7896 24 14 12.9356 -0.3250 7.3924 25 1 12.2574 -0.1941 8.7071 26 1 13.8021 -1.5308 7.4008 27 1 13.7664 0.8799 7.1414 28 6 7.9020 -0.5831 5.5739 29 6 5.3723 -1.6462 2.8235 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 -0.3634 -1.0276 0.0005 33 1 3.1301 1.4424 0.0005 34 1 1.6767 1.9563 -0.8900 35 1 1.6767 1.9563 0.8900 36 1 1.6767 -1.7490 -1.2492 37 1 1.6767 -0.2075 -2.1392 38 1 3.1300 -0.7217 -1.2490 39 1 2.9557 -2.6039 3.9836 40 1 2.0444 -1.1461 3.5126 41 1 2.9512 -1.0286 5.8612 42 1 3.5606 0.2731 4.8107 43 1 5.0241 -2.3347 5.4247 44 1 5.3900 -0.7519 6.1518 45 1 8.3361 -1.5932 2.4170 46 1 7.9684 0.1134 2.8311 47 1 10.1797 0.1445 3.5774 48 1 10.2360 -1.6305 3.7654 49 1 12.9739 -0.6283 4.5653 50 1 7.6416 -1.1076 6.4933 51 1 7.5274 0.4401 5.6026 52 1 5.9336 -1.3257 1.9458 53 1 5.4900 -2.7208 2.9627 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000961155259.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 19:54:46 Heat of formation + Delta-G solvation = -47.097974 kcal Electronic energy + Delta-G solvation = -30621.882262 eV Core-core repulsion = 26687.333733 eV Total energy + Delta-G solvation = -3934.548529 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.99 seconds Orbital eigenvalues (eV) -41.44450 -39.42075 -38.21965 -37.02234 -35.97616 -33.56385 -32.34115 -31.14421 -28.94575 -28.04072 -27.64868 -27.38894 -26.49124 -24.96664 -24.22041 -22.88052 -21.71038 -20.21908 -19.83161 -19.50284 -18.78890 -17.34262 -16.77732 -16.75671 -16.16923 -15.77157 -15.27725 -14.70052 -14.69253 -14.49679 -14.36730 -14.01543 -13.85590 -13.74002 -13.56935 -13.05952 -13.00881 -12.81288 -12.57532 -12.51168 -12.29988 -12.17106 -11.98701 -11.88989 -11.77160 -11.66163 -11.35583 -11.19607 -11.18268 -11.01948 -10.84730 -10.80187 -10.74622 -10.59310 -10.05865 -9.96816 -9.78167 -9.67747 -9.61074 -9.22259 -8.78359 -8.56208 -6.77692 -5.67086 -3.00252 0.67079 2.41567 2.72766 3.41616 3.46780 3.49485 3.64305 4.13758 4.45458 4.47820 4.52544 4.66157 4.84536 4.85615 4.88430 4.96477 5.18273 5.20142 5.27613 5.33337 5.41742 5.45980 5.46435 5.51180 5.52143 5.57045 5.58966 5.60255 5.70621 5.72364 5.75253 5.78001 5.89743 5.93866 5.96352 5.96700 6.02415 6.08515 6.23703 6.28788 6.38615 6.46638 6.60621 6.63581 6.69743 6.78994 7.02140 7.10286 7.61425 7.70244 7.71393 7.88131 8.31099 9.26799 9.87482 10.54312 11.44644 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.025259 B = 0.002371 C = 0.002245 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1108.266709 B =11808.931359 C =12468.810492 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.136 4.136 2 C -0.095 4.095 3 C -0.143 4.143 4 C -0.145 4.145 5 C 0.363 3.637 6 O -0.413 6.413 7 C 0.474 3.526 8 O -0.506 6.506 9 N -0.583 5.583 10 C 0.075 3.925 11 C -0.135 4.135 12 C -0.118 4.118 13 C -0.085 4.085 14 H 0.074 0.926 15 C -0.095 4.095 16 H 0.074 0.926 17 C -0.140 4.140 18 C 0.178 3.822 19 N -0.607 5.607 20 C -0.226 4.226 21 H 0.077 0.923 22 C -0.011 4.011 23 N -0.922 5.922 24 Si 0.911 3.089 25 H -0.280 1.280 26 H -0.291 1.291 27 H -0.291 1.291 28 C 0.145 3.855 29 C 0.111 3.889 30 H 0.061 0.939 31 H 0.067 0.933 32 H 0.061 0.939 33 H 0.077 0.923 34 H 0.071 0.929 35 H 0.056 0.944 36 H 0.055 0.945 37 H 0.069 0.931 38 H 0.085 0.915 39 H 0.071 0.929 40 H 0.121 0.879 41 H 0.076 0.924 42 H 0.064 0.936 43 H 0.064 0.936 44 H 0.073 0.927 45 H 0.058 0.942 46 H 0.055 0.945 47 H 0.040 0.960 48 H 0.044 0.956 49 H 0.251 0.749 50 H 0.036 0.964 51 H 0.016 0.984 52 H 0.098 0.902 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.141 -0.533 -9.022 26.716 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 -0.193 4.193 2 C -0.096 4.096 3 C -0.201 4.201 4 C -0.203 4.203 5 C 0.234 3.766 6 O -0.284 6.284 7 C 0.258 3.742 8 O -0.382 6.382 9 N -0.316 5.316 10 C -0.047 4.047 11 C -0.173 4.173 12 C -0.155 4.155 13 C -0.105 4.105 14 H 0.092 0.908 15 C -0.115 4.115 16 H 0.093 0.907 17 C -0.178 4.178 18 C 0.053 3.947 19 N -0.334 5.334 20 C -0.354 4.354 21 H 0.095 0.905 22 C -0.207 4.207 23 N -0.570 5.570 24 Si 0.742 3.258 25 H -0.205 1.205 26 H -0.218 1.218 27 H -0.218 1.218 28 C 0.019 3.981 29 C -0.011 4.011 30 H 0.080 0.920 31 H 0.086 0.914 32 H 0.080 0.920 33 H 0.096 0.904 34 H 0.090 0.910 35 H 0.075 0.925 36 H 0.074 0.926 37 H 0.088 0.912 38 H 0.104 0.896 39 H 0.089 0.911 40 H 0.138 0.862 41 H 0.094 0.906 42 H 0.083 0.917 43 H 0.083 0.917 44 H 0.091 0.909 45 H 0.076 0.924 46 H 0.074 0.926 47 H 0.058 0.942 48 H 0.063 0.937 49 H 0.061 0.939 50 H 0.054 0.946 51 H 0.033 0.967 52 H 0.116 0.884 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -24.908 -0.619 -9.022 26.499 hybrid contribution 0.875 0.028 0.815 1.196 sum -24.033 -0.590 -8.208 25.403 Atomic orbital electron populations 1.21789 0.92136 1.02809 1.02579 1.20972 0.97356 0.97401 0.93916 1.21893 1.03134 0.92378 1.02653 1.21945 1.03797 0.99549 0.94967 1.25049 0.88908 0.75971 0.86677 1.90201 1.59019 1.36754 1.42412 1.20790 0.90599 0.79552 0.83233 1.90726 1.56866 1.47068 1.43535 1.48277 1.10112 1.61550 1.11686 1.22683 0.94853 1.01366 0.85781 1.21959 0.97380 1.00551 0.97431 1.21632 0.93790 1.01532 0.98586 1.21452 0.94891 1.00423 0.93709 0.90754 1.22310 0.91464 1.00033 0.97685 0.90746 1.22933 0.98193 0.99710 0.97013 1.21128 0.90362 1.00652 0.82563 1.44508 0.99347 1.86211 1.03285 1.19103 0.85914 1.42773 0.87646 0.90492 1.24810 0.96958 1.02410 0.96480 1.69990 1.14689 1.56872 1.15411 0.86055 0.81745 0.77270 0.80773 1.20549 1.21802 1.21798 1.21512 0.85857 0.96029 0.94715 1.21905 0.79319 0.99662 1.00171 0.91972 0.91402 0.91971 0.90369 0.90972 0.92454 0.92623 0.91206 0.89621 0.91108 0.86160 0.90592 0.91698 0.91728 0.90874 0.92358 0.92581 0.94188 0.93730 0.93871 0.94583 0.96652 0.88409 0.90991 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 -0.14 -0.92 7.76 37.16 0.29 -0.63 16 2 C -0.09 -0.78 0.76 -155.66 -0.12 -0.90 16 3 C -0.14 -1.11 8.29 37.16 0.31 -0.81 16 4 C -0.15 -1.14 8.29 37.16 0.31 -0.83 16 5 C 0.36 3.71 5.86 -29.81 -0.17 3.54 16 6 O -0.41 -4.43 12.85 5.98 0.08 -4.36 16 7 C 0.47 5.79 7.36 -11.75 -0.09 5.70 16 8 O -0.51 -7.16 12.91 5.48 0.07 -7.09 16 9 N -0.58 -6.92 2.97 -173.43 -0.52 -7.44 16 10 C 0.07 0.75 5.96 -3.71 -0.02 0.73 16 11 C -0.14 -1.33 6.08 -26.61 -0.16 -1.49 16 12 C -0.12 -1.37 4.98 -26.69 -0.13 -1.51 16 13 C -0.09 -1.16 1.85 -90.50 -0.17 -1.32 16 14 H 0.07 1.10 8.11 -51.93 -0.42 0.68 16 15 C -0.09 -1.61 2.57 -88.48 -0.23 -1.84 16 16 H 0.07 1.27 8.14 -51.93 -0.42 0.84 16 17 C -0.14 -2.65 5.70 -24.89 -0.14 -2.80 16 18 C 0.18 4.42 5.37 -3.06 -0.02 4.40 16 19 N -0.61 -15.80 3.39 -170.06 -0.58 -16.37 16 20 C -0.23 -6.41 10.28 -15.06 -0.15 -6.57 16 21 H 0.08 2.11 7.83 -52.49 -0.41 1.70 16 22 C -0.01 -0.30 5.49 -17.43 -0.10 -0.40 16 23 N -0.92 -27.64 10.31 55.49 0.57 -27.07 16 24 Si 0.91 22.43 29.55 -169.99 -5.02 17.41 16 25 H -0.28 -6.67 7.11 56.52 0.40 -6.27 16 26 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 27 H -0.29 -7.21 7.11 56.52 0.40 -6.80 16 28 C 0.15 2.99 5.65 -2.53 -0.01 2.97 16 29 C 0.11 1.42 5.49 -3.71 -0.02 1.40 16 30 H 0.06 0.43 8.10 -51.93 -0.42 0.01 16 31 H 0.07 0.36 8.14 -51.93 -0.42 -0.07 16 32 H 0.06 0.44 8.10 -51.93 -0.42 0.02 16 33 H 0.08 0.75 6.73 -51.93 -0.35 0.40 16 34 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.05 0.41 8.14 -51.93 -0.42 -0.01 16 37 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 38 H 0.08 0.83 6.17 -51.93 -0.32 0.51 16 39 H 0.07 0.67 8.14 -51.93 -0.42 0.24 16 40 H 0.12 1.21 4.39 -54.37 -0.24 0.97 16 41 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 42 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 43 H 0.06 0.72 8.14 -51.93 -0.42 0.30 16 44 H 0.07 0.90 7.21 -51.93 -0.37 0.53 16 45 H 0.06 1.01 8.14 -51.93 -0.42 0.58 16 46 H 0.06 1.03 8.01 -51.92 -0.42 0.62 16 47 H 0.04 1.11 7.51 -51.93 -0.39 0.72 16 48 H 0.04 1.22 7.38 -51.92 -0.38 0.84 16 49 H 0.25 7.28 8.31 -40.82 -0.34 6.94 16 50 H 0.04 0.72 8.02 -51.93 -0.42 0.30 16 51 H 0.02 0.32 8.04 -51.93 -0.42 -0.09 16 52 H 0.10 1.39 6.57 -51.93 -0.34 1.05 16 53 H 0.07 0.87 8.14 -51.93 -0.42 0.44 16 LS Contribution 399.23 15.07 6.02 6.02 Total: -1.00 -31.58 399.23 -9.54 -41.11 By element: Atomic # 1 Polarization: 7.65 SS G_CDS: -9.53 Total: -1.87 kcal Atomic # 6 Polarization: 0.29 SS G_CDS: -0.63 Total: -0.34 kcal Atomic # 7 Polarization: -50.36 SS G_CDS: -0.52 Total: -50.88 kcal Atomic # 8 Polarization: -11.59 SS G_CDS: 0.15 Total: -11.44 kcal Atomic # 14 Polarization: 22.43 SS G_CDS: -5.02 Total: 17.41 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -31.58 -9.54 -41.11 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. ZINC000961155259.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 -5.983 kcal (2) G-P(sol) polarization free energy of solvation -31.576 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -37.559 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.539 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.115 kcal (6) G-S(sol) free energy of system = (1) + (5) -47.098 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.99 seconds