Wall clock time and date at job start Sat Apr 11 2020 06:11:02 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 1.53001 * 1 3 3 C 1.53000 * 109.47454 * 2 1 4 4 C 1.53003 * 109.47278 * 239.99596 * 2 1 3 5 5 O 1.45202 * 109.47239 * 119.99682 * 2 1 3 6 6 C 1.34639 * 116.99795 * 60.00054 * 5 2 1 7 7 O 1.21511 * 120.00165 * 0.02562 * 6 5 2 8 8 N 1.34776 * 119.99835 * 180.02562 * 6 5 2 9 9 C 1.46506 * 120.00169 * 180.02562 * 8 6 5 10 10 C 1.52997 * 109.47184 * 180.02562 * 9 8 6 11 11 C 1.52995 * 109.47623 * 59.99888 * 10 9 8 12 12 C 1.52999 * 109.46798 * 299.99588 * 10 9 8 13 13 C 1.53001 * 109.47125 * 180.02562 * 10 9 8 14 14 C 1.50697 * 109.47264 * 179.97438 * 13 10 9 15 15 O 1.21286 * 119.99823 * 359.97438 * 14 13 10 16 16 N 1.34780 * 120.00109 * 180.02562 * 14 13 10 17 17 C 1.37086 * 120.00182 * 179.97438 * 16 14 13 18 18 H 1.08000 * 120.00116 * 221.62455 * 17 16 14 19 19 C 1.38950 * 120.00237 * 41.61799 * 17 16 14 20 20 N 1.31411 * 119.99684 * 23.52101 * 19 17 16 21 21 Si 1.86798 * 120.00272 * 203.51539 * 19 17 16 22 22 H 1.48502 * 109.46965 * 180.02562 * 21 19 17 23 23 H 1.48502 * 109.47295 * 299.99992 * 21 19 17 24 24 H 1.48505 * 109.47080 * 60.00088 * 21 19 17 25 25 C 1.46508 * 119.99580 * 359.97438 * 16 14 13 26 26 C 1.53002 * 117.49453 * 191.78152 * 25 16 14 27 27 C 1.53004 * 60.00148 * 252.51359 * 26 25 16 28 28 H 1.09005 * 109.46874 * 300.00129 * 1 2 3 29 29 H 1.08996 * 109.47022 * 60.00026 * 1 2 3 30 30 H 1.09006 * 109.46655 * 180.02562 * 1 2 3 31 31 H 1.08993 * 109.47666 * 180.02562 * 3 2 1 32 32 H 1.09009 * 109.46709 * 299.99888 * 3 2 1 33 33 H 1.08997 * 109.47307 * 59.99441 * 3 2 1 34 34 H 1.09000 * 109.47096 * 300.00316 * 4 2 1 35 35 H 1.08996 * 109.46785 * 60.00233 * 4 2 1 36 36 H 1.08993 * 109.47209 * 179.97438 * 4 2 1 37 37 H 0.97002 * 120.00037 * 359.97438 * 8 6 5 38 38 H 1.08998 * 109.46772 * 59.99759 * 9 8 6 39 39 H 1.09005 * 109.46517 * 300.00271 * 9 8 6 40 40 H 1.08999 * 109.47211 * 180.02562 * 11 10 9 41 41 H 1.09006 * 109.46984 * 299.99767 * 11 10 9 42 42 H 1.09005 * 109.47182 * 59.99445 * 11 10 9 43 43 H 1.08997 * 109.47302 * 300.00151 * 12 10 9 44 44 H 1.09006 * 109.47298 * 60.00546 * 12 10 9 45 45 H 1.09008 * 109.47093 * 180.02562 * 12 10 9 46 46 H 1.09005 * 109.47177 * 59.98976 * 13 10 9 47 47 H 1.09005 * 109.46829 * 299.99449 * 13 10 9 48 48 H 0.97003 * 120.00092 * 5.80549 * 20 19 17 49 49 H 1.08999 * 115.55190 * 337.49115 * 25 16 14 50 50 H 1.08996 * 117.49764 * 0.02562 * 26 25 16 51 51 H 1.08999 * 117.49659 * 145.02224 * 26 25 16 52 52 H 1.08998 * 117.50051 * 252.51877 * 27 26 25 53 53 H 1.09000 * 117.51908 * 107.48332 * 27 26 25 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 1.4425 0.0000 4 6 2.0401 -0.7213 -1.2492 5 8 2.0140 -0.6844 1.1856 6 6 1.6523 -1.9723 1.3384 7 8 0.9517 -2.5097 0.5037 8 7 2.0673 -2.6653 2.4173 9 6 1.6741 -4.0668 2.5833 10 6 2.2731 -4.6143 3.8804 11 6 1.7571 -3.7960 5.0657 12 6 3.7987 -4.5165 3.8186 13 6 1.8630 -6.0781 4.0535 14 6 2.4535 -6.6176 5.3307 15 8 3.1356 -5.9018 6.0331 16 7 2.2245 -7.8957 5.6919 17 6 2.7620 -8.3866 6.8535 18 1 3.1859 -9.3797 6.8749 19 6 2.7617 -7.6065 8.0033 20 7 1.8839 -6.6381 8.1399 21 14 4.0088 -7.9342 9.3548 22 1 3.7987 -6.9719 10.4662 23 1 3.8373 -9.3196 9.8613 24 1 5.3814 -7.7721 8.8118 25 6 1.4010 -8.7604 4.8430 26 6 0.9479 -10.0997 5.4277 27 6 2.0275 -10.0641 4.3440 28 1 -0.3633 0.5139 0.8900 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9563 -0.8901 33 1 1.6767 1.9564 0.8899 34 1 1.6767 -1.7490 -1.2492 35 1 1.6768 -0.2075 -2.1392 36 1 3.1300 -0.7209 -1.2494 37 1 2.6269 -2.2364 3.0834 38 1 2.0414 -4.6497 1.7386 39 1 0.5872 -4.1364 2.6276 40 1 2.1843 -4.1858 5.9897 41 1 2.0497 -2.7533 4.9422 42 1 0.6702 -3.8657 5.1096 43 1 4.1663 -5.0995 2.9742 44 1 4.0913 -3.4737 3.6951 45 1 4.2255 -4.9070 4.7425 46 1 2.2309 -6.6608 3.2089 47 1 0.7761 -6.1482 4.0973 48 1 1.1838 -6.5212 7.4788 49 1 0.7126 -8.2444 4.1737 50 1 1.2622 -10.3373 6.4440 51 1 -0.0388 -10.4650 5.1432 52 1 1.7510 -10.4058 3.3466 53 1 3.0524 -10.2782 4.6470 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 ZINC000930615321.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 06:11:02 Heat of formation + Delta-G solvation = -89.466822 kcal Electronic energy + Delta-G solvation = -31455.139399 eV Core-core repulsion = 27328.297568 eV Total energy + Delta-G solvation = -4126.841831 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -40.82729 -39.43957 -37.96679 -36.82471 -35.76854 -34.33255 -33.32405 -32.57272 -30.94746 -27.76081 -27.62763 -27.57173 -26.77350 -26.46841 -24.32168 -22.35190 -21.78418 -21.34730 -20.19131 -19.81279 -18.70791 -17.83398 -16.83323 -16.64511 -16.35596 -16.27574 -15.14513 -14.84419 -14.77135 -14.67100 -14.42792 -14.05830 -13.88602 -13.67983 -13.58491 -13.32789 -13.18759 -12.72021 -12.67358 -12.41607 -12.30502 -12.09781 -12.07914 -11.83714 -11.57115 -11.50817 -11.45973 -11.33333 -11.02039 -10.77763 -10.64001 -10.58519 -10.50942 -10.37858 -10.35160 -10.13071 -10.10683 -10.10432 -9.85987 -9.70004 -9.10482 -8.65625 -7.94477 -7.31450 -6.38100 -3.88836 2.15972 2.84818 3.40635 3.50444 3.64961 3.88543 4.11543 4.30752 4.51184 4.55314 4.63691 4.69569 4.70161 4.99821 5.12147 5.14502 5.23493 5.31396 5.32242 5.40510 5.46238 5.47275 5.54892 5.63515 5.65061 5.66367 5.69566 5.74751 5.75814 5.82832 5.92769 6.03160 6.07955 6.09314 6.13581 6.14739 6.19166 6.30134 6.31341 6.42627 6.50158 6.50892 6.53269 6.66231 6.85714 7.00616 7.15552 7.46188 7.86355 8.38204 8.38664 8.79514 9.18525 9.54976 10.08558 10.89328 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018915 B = 0.002515 C = 0.002326 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1479.929186 B =11131.356586 C =12033.521238 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.136 3.864 3 C -0.141 4.141 4 C -0.183 4.183 5 O -0.367 6.367 6 C 0.648 3.352 7 O -0.573 6.573 8 N -0.702 5.702 9 C 0.147 3.853 10 C -0.051 4.051 11 C -0.152 4.152 12 C -0.151 4.151 13 C -0.122 4.122 14 C 0.462 3.538 15 O -0.526 6.526 16 N -0.430 5.430 17 C -0.430 4.430 18 H 0.069 0.931 19 C 0.042 3.958 20 N -0.841 5.841 21 Si 1.073 2.927 22 H -0.282 1.282 23 H -0.291 1.291 24 H -0.286 1.286 25 C 0.067 3.933 26 C -0.177 4.177 27 C -0.201 4.201 28 H 0.059 0.941 29 H 0.068 0.932 30 H 0.088 0.912 31 H 0.066 0.934 32 H 0.079 0.921 33 H 0.066 0.934 34 H 0.088 0.912 35 H 0.068 0.932 36 H 0.059 0.941 37 H 0.407 0.593 38 H 0.068 0.932 39 H 0.068 0.932 40 H 0.104 0.896 41 H 0.040 0.960 42 H 0.043 0.957 43 H 0.043 0.957 44 H 0.041 0.959 45 H 0.099 0.901 46 H 0.077 0.923 47 H 0.074 0.926 48 H 0.270 0.730 49 H 0.105 0.895 50 H 0.107 0.893 51 H 0.083 0.917 52 H 0.084 0.916 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.812 9.348 -14.812 17.608 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 -0.241 4.241 2 C 0.099 3.901 3 C -0.198 4.198 4 C -0.240 4.240 5 O -0.282 6.282 6 C 0.401 3.599 7 O -0.463 6.463 8 N -0.361 5.361 9 C 0.024 3.976 10 C -0.052 4.052 11 C -0.209 4.209 12 C -0.208 4.208 13 C -0.164 4.164 14 C 0.251 3.749 15 O -0.406 6.406 16 N -0.150 5.150 17 C -0.556 4.556 18 H 0.087 0.913 19 C -0.171 4.171 20 N -0.472 5.472 21 Si 0.901 3.099 22 H -0.208 1.208 23 H -0.218 1.218 24 H -0.213 1.213 25 C -0.039 4.039 26 C -0.215 4.215 27 C -0.240 4.240 28 H 0.078 0.922 29 H 0.087 0.913 30 H 0.107 0.893 31 H 0.085 0.915 32 H 0.098 0.902 33 H 0.085 0.915 34 H 0.107 0.893 35 H 0.087 0.913 36 H 0.078 0.922 37 H 0.244 0.756 38 H 0.086 0.914 39 H 0.086 0.914 40 H 0.123 0.877 41 H 0.059 0.941 42 H 0.062 0.938 43 H 0.062 0.938 44 H 0.060 0.940 45 H 0.117 0.883 46 H 0.095 0.905 47 H 0.093 0.907 48 H 0.081 0.919 49 H 0.123 0.877 50 H 0.126 0.874 51 H 0.102 0.898 52 H 0.102 0.898 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges -1.281 10.096 -13.445 16.863 hybrid contribution -0.585 -0.546 -1.545 1.740 sum -1.867 9.551 -14.990 17.872 Atomic orbital electron populations 1.22517 0.94061 1.05135 1.02343 1.22031 0.94344 0.91473 0.82235 1.21858 1.02247 0.92648 1.03034 1.22514 1.01525 1.03591 0.96403 1.86305 1.71663 1.23905 1.46330 1.18102 0.79012 0.80384 0.82435 1.90878 1.41467 1.70470 1.43504 1.44855 1.55127 1.12907 1.23240 1.21512 0.99665 0.78318 0.98093 1.20430 0.96754 0.94688 0.93308 1.22129 1.00143 0.97944 1.00696 1.22113 0.94035 1.00324 1.04308 1.21587 1.01124 0.94996 0.98656 1.19872 0.84554 0.83435 0.87034 1.90468 1.40276 1.55800 1.54066 1.43041 1.43248 1.09016 1.19713 1.19746 1.43143 1.04638 0.88071 0.91330 1.26061 0.98593 0.94008 0.98460 1.70565 1.11117 1.30017 1.35468 0.83453 0.75796 0.75379 0.75272 1.20773 1.21761 1.21255 1.21795 0.97339 0.86697 0.98064 1.23098 0.97690 1.00985 0.99678 1.23234 0.98966 1.03965 0.97853 0.92196 0.91281 0.89304 0.91490 0.90247 0.91468 0.89302 0.91290 0.92223 0.75650 0.91405 0.91396 0.87720 0.94145 0.93827 0.93806 0.94000 0.88290 0.90454 0.90712 0.91893 0.87720 0.87436 0.89836 0.89775 0.88973 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 -0.18 -1.86 8.37 37.16 0.31 -1.55 16 2 C 0.14 1.41 1.13 -90.62 -0.10 1.31 16 3 C -0.14 -1.07 8.85 37.16 0.33 -0.74 16 4 C -0.18 -1.84 8.37 37.16 0.31 -1.52 16 5 O -0.37 -4.72 9.94 -40.32 -0.40 -5.12 16 6 C 0.65 9.23 8.06 54.05 0.44 9.67 16 7 O -0.57 -9.14 11.88 -19.28 -0.23 -9.37 16 8 N -0.70 -9.37 4.96 -65.27 -0.32 -9.70 16 9 C 0.15 2.04 4.56 -4.04 -0.02 2.02 16 10 C -0.05 -0.80 0.53 -154.51 -0.08 -0.88 16 11 C -0.15 -2.61 8.00 37.15 0.30 -2.31 16 12 C -0.15 -2.44 8.00 37.16 0.30 -2.14 16 13 C -0.12 -2.12 3.28 -27.88 -0.09 -2.21 16 14 C 0.46 10.50 5.83 -10.99 -0.06 10.44 16 15 O -0.53 -13.54 9.04 5.55 0.05 -13.49 16 16 N -0.43 -10.10 2.64 -107.72 -0.28 -10.38 16 17 C -0.43 -11.31 7.70 -14.94 -0.12 -11.43 16 18 H 0.07 1.80 7.53 -52.49 -0.40 1.41 16 19 C 0.04 1.15 4.20 -17.47 -0.07 1.08 16 20 N -0.84 -24.29 12.26 55.50 0.68 -23.61 16 21 Si 1.07 24.94 29.98 -169.99 -5.10 19.84 16 22 H -0.28 -6.64 7.11 56.52 0.40 -6.24 16 23 H -0.29 -6.31 7.11 56.52 0.40 -5.91 16 24 H -0.29 -6.61 7.11 56.52 0.40 -6.21 16 25 C 0.07 1.28 6.06 -67.92 -0.41 0.87 16 26 C -0.18 -3.13 9.82 -26.73 -0.26 -3.39 16 27 C -0.20 -3.39 10.18 -26.73 -0.27 -3.67 16 28 H 0.06 0.59 8.14 -51.93 -0.42 0.16 16 29 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 30 H 0.09 1.12 5.88 -51.93 -0.31 0.81 16 31 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 32 H 0.08 0.45 8.14 -51.92 -0.42 0.02 16 33 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 34 H 0.09 1.11 5.88 -51.93 -0.31 0.80 16 35 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 36 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 37 H 0.41 5.06 6.27 -40.82 -0.26 4.81 16 38 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 39 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 40 H 0.10 2.27 5.51 -51.93 -0.29 1.98 16 41 H 0.04 0.60 6.86 -51.93 -0.36 0.25 16 42 H 0.04 0.73 8.14 -51.93 -0.42 0.30 16 43 H 0.04 0.66 8.14 -51.93 -0.42 0.24 16 44 H 0.04 0.59 6.86 -51.93 -0.36 0.23 16 45 H 0.10 1.97 5.51 -51.92 -0.29 1.69 16 46 H 0.08 1.22 8.11 -51.93 -0.42 0.80 16 47 H 0.07 1.22 7.59 -51.93 -0.39 0.82 16 48 H 0.27 7.88 7.36 -40.82 -0.30 7.58 16 49 H 0.11 1.75 6.72 -51.93 -0.35 1.40 16 50 H 0.11 2.16 6.94 -51.93 -0.36 1.80 16 51 H 0.08 1.25 8.14 -51.93 -0.42 0.83 16 52 H 0.08 1.18 8.14 -51.93 -0.42 0.76 16 53 H 0.09 1.70 8.14 -51.93 -0.42 1.27 16 LS Contribution 405.97 15.07 6.12 6.12 Total: -1.00 -30.89 405.97 -8.08 -38.97 By element: Atomic # 1 Polarization: 20.29 SS G_CDS: -9.09 Total: 11.21 kcal Atomic # 6 Polarization: -4.96 SS G_CDS: 0.49 Total: -4.47 kcal Atomic # 7 Polarization: -43.76 SS G_CDS: 0.07 Total: -43.68 kcal Atomic # 8 Polarization: -27.40 SS G_CDS: -0.58 Total: -27.98 kcal Atomic # 14 Polarization: 24.94 SS G_CDS: -5.10 Total: 19.84 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -30.89 -8.08 -38.97 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. ZINC000930615321.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 -50.497 kcal (2) G-P(sol) polarization free energy of solvation -30.888 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -81.385 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.082 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.970 kcal (6) G-S(sol) free energy of system = (1) + (5) -89.467 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds