Wall clock time and date at job start Sat Apr 11 2020 06:15:13 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.53004 * 1 3 3 N 1.46501 * 109.46926 * 2 1 4 4 C 1.36934 * 120.00277 * 263.99080 * 3 2 1 5 5 H 1.08003 * 119.99999 * 187.38697 * 4 3 2 6 6 C 1.38811 * 119.99607 * 7.38689 * 4 3 2 7 7 N 1.31619 * 120.00338 * 24.60078 * 6 4 3 8 8 Si 1.86807 * 119.99501 * 204.59535 * 6 4 3 9 9 H 1.48500 * 109.47087 * 60.00450 * 8 6 4 10 10 H 1.48505 * 109.46750 * 180.02562 * 8 6 4 11 11 H 1.48493 * 109.47369 * 299.99981 * 8 6 4 12 12 C 1.46503 * 119.99704 * 83.99468 * 3 2 1 13 13 C 1.52995 * 109.47333 * 85.13114 * 12 3 2 14 14 C 1.53079 * 109.45438 * 64.30129 * 13 12 3 15 15 C 1.53185 * 109.29894 * 181.24312 * 14 13 12 16 16 N 1.46927 * 108.89517 * 305.58330 * 15 14 13 17 17 C 1.34779 * 120.62635 * 233.51596 * 16 15 14 18 18 O 1.21278 * 120.00117 * 359.97438 * 17 16 15 19 19 C 1.50707 * 119.99866 * 179.97438 * 17 16 15 20 20 H 1.09005 * 109.46836 * 305.00056 * 19 17 16 21 21 C 1.52999 * 109.47009 * 64.99689 * 19 17 16 22 22 O 1.42899 * 109.47113 * 184.99960 * 19 17 16 23 23 C 1.42899 * 113.99727 * 150.00286 * 22 19 17 24 24 C 1.53002 * 109.46727 * 179.97438 * 23 22 19 25 25 C 1.52998 * 109.46801 * 174.99781 * 24 23 22 26 26 C 1.53001 * 109.47298 * 294.99777 * 24 23 22 27 27 C 1.46920 * 118.73943 * 53.52978 * 16 15 14 28 28 C 1.53042 * 109.46348 * 184.51344 * 13 12 3 29 29 H 1.08999 * 109.47297 * 55.74736 * 1 2 3 30 30 H 1.08993 * 109.47291 * 175.75223 * 1 2 3 31 31 H 1.09000 * 109.47037 * 295.75450 * 1 2 3 32 32 H 1.08994 * 109.47040 * 240.00546 * 2 1 3 33 33 H 1.08998 * 109.46925 * 119.99799 * 2 1 3 34 34 H 0.96995 * 120.00004 * 179.97438 * 7 6 4 35 35 H 1.09005 * 109.47401 * 325.12937 * 12 3 2 36 36 H 1.09001 * 109.47063 * 205.12838 * 12 3 2 37 37 H 1.08999 * 109.45005 * 304.48190 * 13 12 3 38 38 H 1.09001 * 109.39066 * 61.36622 * 14 13 12 39 39 H 1.08997 * 109.61815 * 301.26383 * 14 13 12 40 40 H 1.08993 * 109.59265 * 185.71967 * 15 14 13 41 41 H 1.09005 * 109.58255 * 65.43396 * 15 14 13 42 42 H 1.09005 * 109.46850 * 59.99714 * 21 19 17 43 43 H 1.08998 * 109.47386 * 180.02562 * 21 19 17 44 44 H 1.09001 * 109.47123 * 300.00530 * 21 19 17 45 45 H 1.08995 * 109.47004 * 299.99412 * 23 22 19 46 46 H 1.09001 * 109.47460 * 59.99741 * 23 22 19 47 47 H 1.09001 * 109.46817 * 55.00026 * 24 23 22 48 48 H 1.08995 * 109.47281 * 60.00077 * 25 24 23 49 49 H 1.08997 * 109.47166 * 180.02562 * 25 24 23 50 50 H 1.09004 * 109.47113 * 299.99796 * 25 24 23 51 51 H 1.09002 * 109.46722 * 300.00238 * 26 24 23 52 52 H 1.08995 * 109.46660 * 60.00109 * 26 24 23 53 53 H 1.08997 * 109.46952 * 180.02562 * 26 24 23 54 54 H 1.08999 * 109.58911 * 66.18863 * 27 16 15 55 55 H 1.09008 * 109.58863 * 186.46577 * 27 16 15 56 56 H 1.09001 * 109.49516 * 58.66128 * 28 13 12 57 57 H 1.09000 * 109.52018 * 298.58114 * 28 13 12 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 7 2.0183 1.3812 0.0000 4 6 2.3636 1.9854 -1.1793 5 1 2.8345 2.9574 -1.1706 6 6 2.1084 1.3487 -2.3861 7 7 1.1490 0.4511 -2.4667 8 14 3.1265 1.7657 -3.8958 9 1 4.5559 1.4658 -3.6271 10 1 2.6581 0.9546 -5.0482 11 1 2.9744 3.2085 -4.2123 12 6 2.1373 2.1161 1.2618 13 6 3.4850 1.7976 1.9124 14 6 4.6166 2.3115 1.0186 15 6 5.9644 1.9634 1.6580 16 7 5.9898 2.4882 3.0301 17 6 6.9950 3.2863 3.4415 18 8 7.8901 3.5772 2.6767 19 6 7.0066 3.8171 4.8520 20 1 6.0702 4.3381 5.0518 21 6 7.1624 2.6538 5.8334 22 8 8.0995 4.7239 5.0106 23 6 7.8634 5.7564 5.9700 24 6 9.0932 6.6625 6.0570 25 6 8.7954 7.8381 6.9898 26 6 10.2775 5.8638 6.6051 27 6 4.8989 2.1262 3.9452 28 6 3.5627 2.4754 3.2823 29 1 -0.3634 0.5784 -0.8494 30 1 -0.3633 -1.0248 -0.0761 31 1 -0.3633 0.4465 0.9256 32 1 1.8933 -0.5137 -0.8900 33 1 1.8933 -0.5138 0.8900 34 1 0.9705 0.0065 -3.3100 35 1 1.3309 1.8193 1.9326 36 1 2.0721 3.1864 1.0665 37 1 3.5831 0.7190 2.0348 38 1 4.5322 3.3931 0.9138 39 1 4.5482 1.8439 0.0364 40 1 6.7706 2.4142 1.0794 41 1 6.0904 0.8809 1.6785 42 1 8.0988 2.1327 5.6335 43 1 7.1704 3.0376 6.8535 44 1 6.3288 1.9621 5.7123 45 1 6.9987 6.3453 5.6645 46 1 7.6723 5.3092 6.9455 47 1 9.3376 7.0395 5.0639 48 1 8.5509 7.4611 7.9828 49 1 9.6713 8.4839 7.0514 50 1 7.9517 8.4072 6.5992 51 1 10.0329 5.4868 7.5982 52 1 10.4895 5.0263 5.9405 53 1 11.1534 6.5095 6.6675 54 1 4.9355 1.0567 4.1524 55 1 5.0034 2.6826 4.8767 56 1 2.7429 2.1243 3.9089 57 1 3.4893 3.5559 3.1588 RHF calculation, no. of doubly occupied orbitals= 67 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=WATER ZINC001274945782.mol2 57 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 06:15:13 Heat of formation + Delta-G solvation = -84.804329 kcal Electronic energy + Delta-G solvation = -31461.156859 eV Core-core repulsion = 27470.350303 eV Total energy + Delta-G solvation = -3990.806556 eV No. of doubly occupied orbitals = 67 Molecular weight (most abundant/longest-lived isotopes) = 340.251 amu Computer time = 0.99 seconds Orbital eigenvalues (eV) -41.50570 -39.54326 -38.71752 -37.41927 -36.11299 -34.72725 -33.07899 -32.54356 -31.46755 -30.71238 -28.28020 -28.01036 -27.17497 -25.98284 -24.95186 -24.14893 -23.59816 -22.14500 -21.32448 -21.02699 -19.98821 -18.53522 -18.43035 -17.72131 -17.15610 -16.92835 -16.42966 -16.22098 -15.77934 -15.56125 -15.48231 -15.14807 -14.97124 -14.80391 -14.73634 -14.27853 -14.15326 -13.94259 -13.72938 -13.60952 -13.53143 -13.29914 -13.25344 -12.97621 -12.95184 -12.81417 -12.64010 -12.53340 -12.41023 -12.35776 -12.13961 -11.98418 -11.95453 -11.82520 -11.76917 -11.72113 -11.50564 -11.32854 -11.25100 -11.08641 -10.84513 -10.42843 -10.27181 -9.67694 -8.72372 -7.75894 -5.02992 1.45989 1.50736 1.53339 1.55055 1.73927 2.56714 2.79388 3.31668 3.42979 3.70140 3.81167 3.91172 3.96075 3.96378 4.02156 4.08334 4.13338 4.21782 4.23066 4.38778 4.45957 4.49857 4.61298 4.63130 4.69076 4.71989 4.74182 4.79200 4.81193 4.85183 4.86056 4.94256 5.00500 5.00719 5.05051 5.06305 5.11951 5.18248 5.20895 5.23719 5.24722 5.29150 5.33198 5.39063 5.43463 5.44662 5.63269 5.66037 5.71739 5.89325 6.13405 6.17722 6.42856 6.43451 7.12698 7.28465 8.03365 8.41642 9.26189 Molecular weight = 340.25amu Principal moments of inertia in cm(-1) A = 0.018261 B = 0.002316 C = 0.002184 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1532.958865 B =12086.007102 C =12819.748667 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.131 4.131 2 C 0.168 3.832 3 N -0.610 5.610 4 C -0.235 4.235 5 H 0.066 0.934 6 C -0.052 4.052 7 N -0.916 5.916 8 Si 0.938 3.062 9 H -0.288 1.288 10 H -0.298 1.298 11 H -0.286 1.286 12 C 0.155 3.845 13 C -0.094 4.094 14 C -0.109 4.109 15 C 0.118 3.882 16 N -0.601 5.601 17 C 0.505 3.495 18 O -0.583 6.583 19 C 0.075 3.925 20 H 0.111 0.889 21 C -0.171 4.171 22 O -0.387 6.387 23 C 0.058 3.942 24 C -0.099 4.099 25 C -0.140 4.140 26 C -0.141 4.141 27 C 0.100 3.900 28 C -0.122 4.122 29 H 0.047 0.953 30 H 0.032 0.968 31 H 0.024 0.976 32 H 0.058 0.942 33 H 0.024 0.976 34 H 0.243 0.757 35 H 0.048 0.952 36 H 0.035 0.965 37 H 0.062 0.938 38 H 0.040 0.960 39 H 0.064 0.936 40 H 0.062 0.938 41 H 0.073 0.927 42 H 0.052 0.948 43 H 0.093 0.907 44 H 0.098 0.902 45 H 0.055 0.945 46 H 0.073 0.927 47 H 0.057 0.943 48 H 0.069 0.931 49 H 0.065 0.935 50 H 0.059 0.941 51 H 0.065 0.935 52 H 0.040 0.960 53 H 0.059 0.941 54 H 0.089 0.911 55 H 0.117 0.883 56 H 0.101 0.899 57 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 9.441 6.774 25.606 28.119 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 -0.190 4.190 2 C 0.043 3.957 3 N -0.332 5.332 4 C -0.365 4.365 5 H 0.084 0.916 6 C -0.247 4.247 7 N -0.564 5.564 8 Si 0.769 3.231 9 H -0.216 1.216 10 H -0.225 1.225 11 H -0.213 1.213 12 C 0.029 3.971 13 C -0.115 4.115 14 C -0.148 4.148 15 C -0.004 4.004 16 N -0.335 5.335 17 C 0.294 3.706 18 O -0.462 6.462 19 C 0.015 3.985 20 H 0.129 0.871 21 C -0.228 4.228 22 O -0.306 6.306 23 C -0.017 4.017 24 C -0.118 4.118 25 C -0.197 4.197 26 C -0.198 4.198 27 C -0.021 4.021 28 C -0.161 4.161 29 H 0.066 0.934 30 H 0.051 0.949 31 H 0.044 0.956 32 H 0.076 0.924 33 H 0.042 0.958 34 H 0.053 0.947 35 H 0.066 0.934 36 H 0.053 0.947 37 H 0.081 0.919 38 H 0.059 0.941 39 H 0.082 0.918 40 H 0.080 0.920 41 H 0.091 0.909 42 H 0.071 0.929 43 H 0.112 0.888 44 H 0.116 0.884 45 H 0.074 0.926 46 H 0.092 0.908 47 H 0.075 0.925 48 H 0.088 0.912 49 H 0.084 0.916 50 H 0.078 0.922 51 H 0.084 0.916 52 H 0.059 0.941 53 H 0.078 0.922 54 H 0.107 0.893 55 H 0.135 0.865 56 H 0.119 0.881 57 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 10.024 6.837 24.970 27.762 hybrid contribution 0.200 0.152 -1.838 1.855 sum 10.224 6.989 23.132 26.239 Atomic orbital electron populations 1.22024 0.99068 0.98912 0.99025 1.20687 0.92516 0.84778 0.97725 1.44304 1.75837 1.10919 1.02101 1.19318 1.30561 1.01860 0.84720 0.91588 1.25173 0.99435 1.00968 0.99092 1.70309 1.29465 1.32066 1.24598 0.85767 0.79665 0.76960 0.80735 1.21554 1.22481 1.21288 1.20891 0.94795 0.94652 0.86744 1.21606 0.95647 0.99697 0.94565 1.21726 0.93551 0.99784 0.99691 1.21497 0.98031 0.98630 0.82264 1.48188 1.23717 1.48449 1.13157 1.21184 0.81147 0.78062 0.90236 1.90673 1.38406 1.59701 1.57445 1.21965 0.92409 0.93179 0.90987 0.87138 1.22406 1.03904 0.97118 0.99359 1.88020 1.38628 1.41667 1.62271 1.22907 0.98200 0.88505 0.92133 1.21133 0.94820 0.95765 1.00062 1.21746 1.02306 0.96473 0.99188 1.21747 0.97472 0.99673 1.00908 1.22273 0.84736 1.02526 0.92588 1.21922 0.97638 1.00824 0.95705 0.93373 0.94870 0.95648 0.92400 0.95761 0.94727 0.93351 0.94677 0.91908 0.94086 0.91770 0.91961 0.90854 0.92857 0.88820 0.88385 0.92643 0.90843 0.92451 0.91181 0.91552 0.92195 0.91550 0.94103 0.92180 0.89252 0.86539 0.88110 0.92019 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.13 -5.78 9.66 71.98 0.70 -5.09 16 2 C 0.17 7.70 5.62 86.38 0.49 8.18 16 3 N -0.61 -28.09 2.31 -702.00 -1.62 -29.71 16 4 C -0.23 -12.24 7.96 84.03 0.67 -11.57 16 5 H 0.07 3.46 7.94 -2.91 -0.02 3.44 16 6 C -0.05 -2.84 4.93 84.86 0.42 -2.42 16 7 N -0.92 -51.51 8.65 21.65 0.19 -51.33 16 8 Si 0.94 45.28 29.62 68.60 2.03 47.32 16 9 H -0.29 -13.89 7.11 99.48 0.71 -13.19 16 10 H -0.30 -14.58 7.11 99.48 0.71 -13.87 16 11 H -0.29 -13.68 7.11 99.48 0.71 -12.97 16 12 C 0.16 5.62 5.16 86.38 0.45 6.06 16 13 C -0.09 -2.75 2.36 -10.75 -0.03 -2.78 16 14 C -0.11 -3.70 5.00 30.68 0.15 -3.55 16 15 C 0.12 3.63 6.43 86.36 0.55 4.19 16 16 N -0.60 -15.13 2.97 -818.92 -2.44 -17.57 16 17 C 0.50 14.48 7.12 87.66 0.62 15.11 16 18 O -0.58 -23.10 15.92 15.96 0.25 -22.85 16 19 C 0.08 1.47 2.30 29.85 0.07 1.54 16 20 H 0.11 1.52 7.08 -2.38 -0.02 1.50 16 21 C -0.17 -2.22 9.10 71.98 0.65 -1.56 16 22 O -0.39 -9.18 9.06 -129.99 -1.18 -10.36 16 23 C 0.06 0.92 5.13 71.98 0.37 1.28 16 24 C -0.10 -1.53 3.16 -10.79 -0.03 -1.57 16 25 C -0.14 -1.42 9.19 71.98 0.66 -0.75 16 26 C -0.14 -2.12 9.09 71.98 0.65 -1.47 16 27 C 0.10 1.62 4.98 86.36 0.43 2.05 16 28 C -0.12 -2.40 5.37 30.67 0.16 -2.24 16 29 H 0.05 2.48 6.59 -2.39 -0.02 2.47 16 30 H 0.03 1.34 8.14 -2.39 -0.02 1.32 16 31 H 0.02 0.99 8.14 -2.39 -0.02 0.97 16 32 H 0.06 3.06 5.75 -2.39 -0.01 3.05 16 33 H 0.02 0.98 8.06 -2.39 -0.02 0.96 16 34 H 0.24 13.59 8.31 -92.71 -0.77 12.82 16 35 H 0.05 1.61 8.11 -2.38 -0.02 1.59 16 36 H 0.03 1.33 8.00 -2.39 -0.02 1.31 16 37 H 0.06 1.89 8.08 -2.39 -0.02 1.87 16 38 H 0.04 1.47 8.14 -2.39 -0.02 1.45 16 39 H 0.06 2.65 6.52 -2.39 -0.02 2.63 16 40 H 0.06 2.21 7.00 -2.39 -0.02 2.20 16 41 H 0.07 2.11 8.14 -2.38 -0.02 2.09 16 42 H 0.05 0.91 8.14 -2.38 -0.02 0.89 16 43 H 0.09 0.78 7.87 -2.39 -0.02 0.76 16 44 H 0.10 0.89 5.41 -2.39 -0.01 0.88 16 45 H 0.06 0.78 8.08 -2.39 -0.02 0.76 16 46 H 0.07 0.79 7.87 -2.39 -0.02 0.77 16 47 H 0.06 1.13 8.14 -2.39 -0.02 1.11 16 48 H 0.07 0.53 8.14 -2.39 -0.02 0.51 16 49 H 0.07 0.62 8.14 -2.39 -0.02 0.60 16 50 H 0.06 0.58 8.14 -2.38 -0.02 0.56 16 51 H 0.07 0.79 8.14 -2.39 -0.02 0.77 16 52 H 0.04 0.81 7.82 -2.39 -0.02 0.79 16 53 H 0.06 0.80 8.14 -2.39 -0.02 0.78 16 54 H 0.09 1.22 8.14 -2.39 -0.02 1.20 16 55 H 0.12 1.13 4.66 -2.38 -0.01 1.12 16 56 H 0.10 1.51 8.14 -2.39 -0.02 1.49 16 57 H 0.06 1.28 8.14 -2.39 -0.02 1.26 16 Total: -1.00 -70.23 429.55 5.03 -65.20 By element: Atomic # 1 Polarization: 13.07 SS G_CDS: 0.80 Total: 13.87 kcal Atomic # 6 Polarization: -1.57 SS G_CDS: 6.99 Total: 5.42 kcal Atomic # 7 Polarization: -94.73 SS G_CDS: -3.87 Total: -98.60 kcal Atomic # 8 Polarization: -32.28 SS G_CDS: -0.92 Total: -33.21 kcal Atomic # 14 Polarization: 45.28 SS G_CDS: 2.03 Total: 47.32 kcal Total: -70.23 5.03 -65.20 kcal The number of atoms in the molecule is 57 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. ZINC001274945782.mol2 57 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 -19.602 kcal (2) G-P(sol) polarization free energy of solvation -70.229 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.832 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 5.027 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -65.202 kcal (6) G-S(sol) free energy of system = (1) + (5) -84.804 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.99 seconds