Wall clock time and date at job start Sat Apr 11 2020 06:09:23 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 1.52998 * 1 3 3 C 1.53003 * 109.46911 * 2 1 4 4 C 1.52999 * 109.46971 * 240.00099 * 2 1 3 5 5 O 1.45201 * 109.47326 * 120.00078 * 2 1 3 6 6 C 1.34629 * 117.00045 * 59.99874 * 5 2 1 7 7 O 1.21516 * 120.00232 * 0.02562 * 6 5 2 8 8 N 1.34784 * 120.00064 * 180.02562 * 6 5 2 9 9 C 1.46606 * 125.18945 * 0.02602 * 8 6 5 10 10 C 1.53655 * 107.85617 * 179.67541 * 9 8 6 11 11 C 1.54374 * 104.84577 * 16.77075 * 10 9 8 12 12 N 1.46900 * 112.49362 * 96.73828 * 11 10 9 13 13 C 1.46895 * 111.00051 * 61.01159 * 12 11 10 14 14 C 1.52998 * 109.47014 * 180.02562 * 13 12 11 15 15 H 1.08995 * 109.47236 * 60.00373 * 14 13 12 16 16 O 1.42904 * 109.47196 * 299.99832 * 14 13 12 17 17 C 1.50707 * 109.47142 * 180.02562 * 14 13 12 18 18 H 1.08001 * 119.99826 * 359.97438 * 17 14 13 19 19 C 1.37878 * 119.99945 * 180.02562 * 17 14 13 20 20 N 1.31518 * 119.99681 * 179.97438 * 19 17 14 21 21 Si 1.86792 * 120.00006 * 359.97438 * 19 17 14 22 22 H 1.48504 * 109.47482 * 90.00208 * 21 19 17 23 23 H 1.48506 * 109.46947 * 210.00228 * 21 19 17 24 24 H 1.48501 * 109.47317 * 330.00034 * 21 19 17 25 25 C 1.53975 * 108.48940 * 221.75207 * 11 10 9 26 26 C 1.54221 * 106.75281 * 110.37123 * 25 11 10 27 27 C 1.54894 * 104.22578 * 336.59291 * 26 25 11 28 28 C 1.46392 * 125.19097 * 179.72172 * 8 6 5 29 29 H 1.09000 * 111.60145 * 41.25534 * 28 8 6 30 30 H 1.09002 * 109.47010 * 299.99572 * 1 2 3 31 31 H 1.08994 * 109.47522 * 60.00052 * 1 2 3 32 32 H 1.09006 * 109.46865 * 180.02562 * 1 2 3 33 33 H 1.08994 * 109.47020 * 179.97438 * 3 2 1 34 34 H 1.09004 * 109.47006 * 300.00274 * 3 2 1 35 35 H 1.08999 * 109.47200 * 59.99934 * 3 2 1 36 36 H 1.08996 * 109.47092 * 299.99450 * 4 2 1 37 37 H 1.08993 * 109.46862 * 60.00088 * 4 2 1 38 38 H 1.09007 * 109.46717 * 179.97438 * 4 2 1 39 39 H 1.09002 * 109.79133 * 299.26583 * 9 8 6 40 40 H 1.08998 * 109.79317 * 60.04405 * 9 8 6 41 41 H 1.08992 * 110.36748 * 135.61291 * 10 9 8 42 42 H 1.08999 * 110.35995 * 257.82679 * 10 9 8 43 43 H 1.00899 * 111.00077 * 297.05759 * 12 11 10 44 44 H 1.08997 * 109.47320 * 300.00247 * 13 12 11 45 45 H 1.09002 * 109.47197 * 60.00283 * 13 12 11 46 46 H 0.96703 * 114.00002 * 300.00462 * 16 14 13 47 47 H 0.96999 * 119.99664 * 179.97438 * 20 19 17 48 48 H 1.08997 * 110.00005 * 229.69414 * 25 11 10 49 49 H 1.08993 * 110.00286 * 351.04428 * 25 11 10 50 50 H 1.08998 * 110.47493 * 95.28040 * 26 25 11 51 51 H 1.09001 * 110.47644 * 217.90529 * 26 25 11 52 52 H 1.09006 * 110.75738 * 156.40484 * 27 26 25 53 53 H 1.08999 * 110.75778 * 279.59470 * 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 2.0399 1.4425 0.0000 4 6 2.0399 -0.7212 -1.2493 5 8 2.0140 -0.6845 1.1855 6 6 1.6523 -1.9722 1.3383 7 8 0.9516 -2.5097 0.5036 8 7 2.0673 -2.6654 2.4172 9 6 2.9118 -2.1321 3.4904 10 6 3.1334 -3.2538 4.5170 11 6 2.7439 -4.5508 3.7759 12 7 3.9079 -5.2463 3.2106 13 6 4.8492 -5.6413 4.2669 14 6 6.0457 -6.3605 3.6408 15 1 6.5456 -5.6918 2.9401 16 8 5.5921 -7.5247 2.9471 17 6 7.0112 -6.7663 4.7244 18 1 6.7933 -6.5341 5.7565 19 6 8.1731 -7.4332 4.3983 20 7 9.0158 -7.7869 5.3440 21 14 8.5502 -7.8341 2.6133 22 1 9.3152 -6.7158 2.0056 23 1 9.3561 -9.0796 2.5453 24 1 7.2791 -8.0259 1.8698 25 6 1.9390 -5.4413 4.7402 26 6 0.4863 -5.4573 4.2226 27 6 0.3644 -4.1567 3.3903 28 6 1.7385 -4.0637 2.6993 29 1 1.7848 -4.6764 1.7989 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5138 -0.8899 32 1 -0.3633 -1.0277 0.0005 33 1 3.1299 1.4426 0.0005 34 1 1.6765 1.9564 -0.8900 35 1 1.6766 1.9564 0.8900 36 1 1.6767 -1.7489 -1.2492 37 1 1.6766 -0.2074 -2.1391 38 1 3.1300 -0.7208 -1.2494 39 1 3.8700 -1.8117 3.0815 40 1 2.4135 -1.2881 3.9673 41 1 4.1798 -3.2896 4.8197 42 1 2.4926 -3.1046 5.3860 43 1 4.3648 -4.6783 2.5130 44 1 5.1955 -4.7534 4.7957 45 1 4.3492 -6.3097 4.9678 46 1 5.1367 -8.1655 3.5102 47 1 9.8331 -8.2563 5.1145 48 1 2.3457 -6.4525 4.7412 49 1 1.9715 -5.0250 5.7470 50 1 0.3156 -6.3305 3.5930 51 1 -0.2157 -5.4439 5.0563 52 1 -0.4341 -4.2431 2.6533 53 1 0.1976 -3.2970 4.0393 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 ZINC001365351957.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 06:09:23 Heat of formation + Delta-G solvation = -125.934784 kcal Electronic energy + Delta-G solvation = -31943.586234 eV Core-core repulsion = 27815.163033 eV Total energy + Delta-G solvation = -4128.423201 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.00 seconds Orbital eigenvalues (eV) -41.22504 -40.05263 -37.13427 -36.38641 -35.04090 -33.93617 -33.83200 -32.23514 -30.71696 -28.61918 -27.91881 -27.65713 -27.59281 -26.49237 -24.10377 -23.56128 -21.79626 -21.06530 -20.23471 -19.44706 -19.09822 -18.11288 -17.16293 -16.68157 -16.49941 -16.10079 -15.39495 -15.27894 -14.77935 -14.54831 -14.44208 -14.34809 -13.96015 -13.93135 -13.66666 -13.50051 -13.16589 -12.95486 -12.75760 -12.65437 -12.48531 -12.29069 -12.12873 -12.08992 -12.05265 -11.69579 -11.66314 -11.49335 -11.45238 -11.18627 -11.04671 -10.91844 -10.83865 -10.69053 -10.53870 -10.46329 -10.31917 -10.13030 -9.90593 -9.04720 -8.79727 -8.62560 -8.25304 -7.97826 -6.14201 -4.25758 1.97326 2.74827 3.39356 3.49405 3.71762 3.77238 4.15691 4.31748 4.46980 4.48359 4.52593 4.53893 4.66625 4.78522 4.88937 5.01197 5.12280 5.21033 5.21255 5.24063 5.29334 5.32666 5.42657 5.43509 5.50665 5.52329 5.57160 5.57890 5.62766 5.71706 5.73386 5.79996 5.88516 5.92828 5.96090 5.97475 6.05227 6.08286 6.10861 6.19281 6.21868 6.22936 6.31708 6.38675 6.62593 7.29504 7.33725 7.39776 7.61196 7.74584 8.25393 8.28021 8.82171 9.10490 9.51015 10.96310 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013619 B = 0.002983 C = 0.002676 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2055.523635 B = 9385.373582 C =10461.411278 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.182 4.182 2 C 0.136 3.864 3 C -0.140 4.140 4 C -0.184 4.184 5 O -0.362 6.362 6 C 0.668 3.332 7 O -0.566 6.566 8 N -0.594 5.594 9 C 0.108 3.892 10 C -0.167 4.167 11 C 0.109 3.891 12 N -0.658 5.658 13 C 0.042 3.958 14 C 0.199 3.801 15 H 0.049 0.951 16 O -0.571 6.571 17 C -0.565 4.565 18 H 0.071 0.929 19 C 0.083 3.917 20 N -0.894 5.894 21 Si 0.871 3.129 22 H -0.289 1.289 23 H -0.296 1.296 24 H -0.215 1.215 25 C -0.109 4.109 26 C -0.118 4.118 27 C -0.129 4.129 28 C 0.161 3.839 29 H 0.104 0.896 30 H 0.058 0.942 31 H 0.069 0.931 32 H 0.088 0.912 33 H 0.067 0.933 34 H 0.079 0.921 35 H 0.065 0.935 36 H 0.088 0.912 37 H 0.069 0.931 38 H 0.060 0.940 39 H 0.068 0.932 40 H 0.068 0.932 41 H 0.090 0.910 42 H 0.081 0.919 43 H 0.338 0.662 44 H 0.032 0.968 45 H 0.071 0.929 46 H 0.355 0.645 47 H 0.265 0.735 48 H 0.082 0.918 49 H 0.068 0.932 50 H 0.071 0.929 51 H 0.067 0.933 52 H 0.072 0.928 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.700 15.815 -5.991 25.213 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 -0.240 4.240 2 C 0.099 3.901 3 C -0.197 4.197 4 C -0.241 4.241 5 O -0.277 6.277 6 C 0.423 3.577 7 O -0.455 6.455 8 N -0.334 5.334 9 C -0.015 4.015 10 C -0.207 4.207 11 C 0.016 3.984 12 N -0.288 5.288 13 C -0.086 4.086 14 C 0.141 3.859 15 H 0.067 0.933 16 O -0.376 6.376 17 C -0.603 4.603 18 H 0.089 0.911 19 C -0.121 4.121 20 N -0.531 5.531 21 Si 0.698 3.302 22 H -0.216 1.216 23 H -0.223 1.223 24 H -0.137 1.137 25 C -0.147 4.147 26 C -0.156 4.156 27 C -0.168 4.168 28 C 0.059 3.941 29 H 0.122 0.878 30 H 0.077 0.923 31 H 0.088 0.912 32 H 0.107 0.893 33 H 0.086 0.914 34 H 0.098 0.902 35 H 0.084 0.916 36 H 0.107 0.893 37 H 0.088 0.912 38 H 0.079 0.921 39 H 0.086 0.914 40 H 0.086 0.914 41 H 0.108 0.892 42 H 0.099 0.901 43 H 0.156 0.844 44 H 0.050 0.950 45 H 0.090 0.910 46 H 0.201 0.799 47 H 0.074 0.926 48 H 0.101 0.899 49 H 0.086 0.914 50 H 0.090 0.910 51 H 0.086 0.914 52 H 0.091 0.909 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -18.811 15.384 -6.863 25.251 hybrid contribution 0.725 0.653 0.058 0.978 sum -18.087 16.037 -6.805 25.112 Atomic orbital electron populations 1.22508 0.94086 1.05061 1.02296 1.22056 0.94290 0.91500 0.82276 1.21853 1.02346 0.92557 1.02977 1.22520 1.01700 1.03562 0.96330 1.86314 1.71544 1.23607 1.46245 1.17499 0.78774 0.80344 0.81093 1.90895 1.41462 1.70410 1.42782 1.46891 1.52868 1.12574 1.21040 1.21824 0.94680 0.97063 0.87912 1.23321 1.03933 0.95224 0.98193 1.22259 0.92171 0.91351 0.92624 1.60588 1.09176 1.44134 1.14874 1.22734 0.93731 0.98962 0.93211 1.19697 0.89580 0.84649 0.91946 0.93328 1.86669 1.77810 1.32556 1.40546 1.21481 1.04552 1.39707 0.94538 0.91077 1.24988 0.95216 0.93748 0.98144 1.69959 1.11031 1.38767 1.33308 0.87026 0.79963 0.77225 0.86029 1.21579 1.22308 1.13724 1.22205 0.94208 1.01057 0.97236 1.22278 0.96476 0.97473 0.99353 1.22663 0.96641 0.98409 0.99122 1.22195 0.94027 0.79212 0.98700 0.87816 0.92323 0.91223 0.89344 0.91427 0.90188 0.91570 0.89281 0.91231 0.92103 0.91375 0.91390 0.89208 0.90057 0.84362 0.95015 0.91019 0.79930 0.92589 0.89908 0.91379 0.90976 0.91436 0.90945 0.91273 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -1.74 8.37 37.16 0.31 -1.43 16 2 C 0.14 1.38 1.13 -90.62 -0.10 1.27 16 3 C -0.14 -1.04 8.85 37.16 0.33 -0.71 16 4 C -0.18 -1.89 8.37 37.16 0.31 -1.58 16 5 O -0.36 -4.54 9.46 -40.29 -0.38 -4.92 16 6 C 0.67 9.30 7.90 54.06 0.43 9.72 16 7 O -0.57 -8.83 12.16 -19.28 -0.23 -9.07 16 8 N -0.59 -7.58 2.93 -169.50 -0.50 -8.07 16 9 C 0.11 1.21 6.85 -3.64 -0.02 1.18 16 10 C -0.17 -1.88 5.81 -25.67 -0.15 -2.03 16 11 C 0.11 1.37 0.86 -129.23 -0.11 1.26 16 12 N -0.66 -10.21 6.18 -97.58 -0.60 -10.81 16 13 C 0.04 0.75 4.77 -3.83 -0.02 0.73 16 14 C 0.20 4.45 2.52 -27.88 -0.07 4.38 16 15 H 0.05 1.13 7.57 -51.93 -0.39 0.74 16 16 O -0.57 -12.71 10.01 -35.23 -0.35 -13.06 16 17 C -0.57 -15.19 9.34 -34.44 -0.32 -15.51 16 18 H 0.07 2.06 7.99 -52.49 -0.42 1.64 16 19 C 0.08 2.37 5.47 -17.82 -0.10 2.27 16 20 N -0.89 -26.96 13.96 55.43 0.77 -26.19 16 21 Si 0.87 21.73 26.99 -169.99 -4.59 17.14 16 22 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 23 H -0.30 -7.47 7.11 56.52 0.40 -7.07 16 24 H -0.21 -5.27 5.31 56.52 0.30 -4.97 16 25 C -0.11 -1.26 5.48 -25.58 -0.14 -1.40 16 26 C -0.12 -1.18 6.82 -25.09 -0.17 -1.35 16 27 C -0.13 -1.41 6.42 -25.16 -0.16 -1.57 16 28 C 0.16 2.04 3.14 -66.28 -0.21 1.84 16 29 H 0.10 1.53 8.12 -51.93 -0.42 1.11 16 30 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 31 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 32 H 0.09 1.05 5.88 -51.93 -0.31 0.75 16 33 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 34 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 36 H 0.09 1.14 5.88 -51.93 -0.31 0.83 16 37 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 38 H 0.06 0.62 8.14 -51.92 -0.42 0.20 16 39 H 0.07 0.78 8.14 -51.93 -0.42 0.35 16 40 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 41 H 0.09 1.10 6.05 -51.93 -0.31 0.79 16 42 H 0.08 0.81 7.28 -51.93 -0.38 0.43 16 43 H 0.34 5.44 8.79 -39.29 -0.35 5.10 16 44 H 0.03 0.57 6.21 -51.93 -0.32 0.24 16 45 H 0.07 1.28 6.73 -51.93 -0.35 0.93 16 46 H 0.35 7.11 9.04 45.56 0.41 7.52 16 47 H 0.26 7.54 8.31 -40.82 -0.34 7.20 16 48 H 0.08 1.08 6.98 -51.93 -0.36 0.72 16 49 H 0.07 0.72 7.19 -51.93 -0.37 0.35 16 50 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 51 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 52 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 53 H 0.07 0.73 8.13 -51.93 -0.42 0.31 16 LS Contribution 401.18 15.07 6.05 6.05 Total: -1.00 -31.26 401.18 -8.65 -39.90 By element: Atomic # 1 Polarization: 20.56 SS G_CDS: -8.61 Total: 11.95 kcal Atomic # 6 Polarization: -2.72 SS G_CDS: -0.20 Total: -2.92 kcal Atomic # 7 Polarization: -44.74 SS G_CDS: -0.33 Total: -45.07 kcal Atomic # 8 Polarization: -26.08 SS G_CDS: -0.97 Total: -27.05 kcal Atomic # 14 Polarization: 21.73 SS G_CDS: -4.59 Total: 17.14 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -31.26 -8.65 -39.90 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. ZINC001365351957.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 -86.031 kcal (2) G-P(sol) polarization free energy of solvation -31.259 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -117.290 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.645 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.904 kcal (6) G-S(sol) free energy of system = (1) + (5) -125.935 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.01 seconds