Wall clock time and date at job start Sat Apr 11 2020 06:11:44 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 1.52992 * 1 3 3 C 1.53002 * 109.47353 * 2 1 4 4 C 1.52996 * 109.47555 * 120.00375 * 2 1 3 5 5 H 1.08998 * 109.48941 * 59.96843 * 4 2 1 6 6 C 1.53094 * 109.48145 * 179.97438 * 4 2 1 7 7 C 1.53178 * 109.16375 * 177.59228 * 6 4 2 8 8 H 1.09002 * 109.54537 * 183.06128 * 7 6 4 9 9 C 1.52997 * 109.54374 * 62.88288 * 7 6 4 10 10 C 1.50705 * 109.47270 * 174.99954 * 9 7 6 11 11 O 1.21277 * 119.99663 * 0.02562 * 10 9 7 12 12 N 1.34774 * 120.00046 * 180.02562 * 10 9 7 13 13 C 1.46499 * 120.00044 * 180.02562 * 12 10 9 14 14 C 1.52997 * 109.47615 * 179.97438 * 13 12 10 15 15 O 1.42902 * 113.40944 * 51.79693 * 14 13 12 16 16 C 1.53493 * 114.21155 * 184.99723 * 14 13 12 17 17 N 1.47064 * 87.98434 * 87.51995 * 16 14 13 18 18 C 1.36941 * 136.05902 * 207.08450 * 17 16 14 19 19 H 1.07994 * 120.00042 * 8.61321 * 18 17 16 20 20 C 1.38808 * 120.00000 * 188.60350 * 18 17 16 21 21 N 1.31619 * 120.00042 * 18.51596 * 20 18 17 22 22 Si 1.86802 * 120.00147 * 198.51527 * 20 18 17 23 23 H 1.48501 * 109.47041 * 359.97438 * 22 20 18 24 24 H 1.48508 * 109.47118 * 240.00382 * 22 20 18 25 25 H 1.48500 * 109.47525 * 120.00054 * 22 20 18 26 26 C 1.47070 * 87.88400 * 27.34260 * 17 16 14 27 27 C 1.53179 * 109.03462 * 303.01953 * 7 6 4 28 28 C 1.53096 * 109.16446 * 56.98125 * 27 7 6 29 29 O 1.42900 * 109.48029 * 299.94033 * 4 2 1 30 30 H 1.09009 * 109.47012 * 299.99578 * 1 2 3 31 31 H 1.09001 * 109.47755 * 59.99756 * 1 2 3 32 32 H 1.08998 * 109.47238 * 180.02562 * 1 2 3 33 33 H 1.08999 * 109.47009 * 240.00544 * 2 1 3 34 34 H 1.08994 * 109.47581 * 180.02562 * 3 2 1 35 35 H 1.09001 * 109.46889 * 300.00774 * 3 2 1 36 36 H 1.08999 * 109.46619 * 60.00305 * 3 2 1 37 37 H 1.08996 * 109.52292 * 57.68370 * 6 4 2 38 38 H 1.09006 * 109.57013 * 297.52533 * 6 4 2 39 39 H 1.09004 * 109.47415 * 55.00312 * 9 7 6 40 40 H 1.09000 * 109.47624 * 295.00187 * 9 7 6 41 41 H 0.97004 * 120.00176 * 0.02562 * 12 10 9 42 42 H 1.09004 * 109.46836 * 59.99571 * 13 12 10 43 43 H 1.09007 * 109.47105 * 300.00388 * 13 12 10 44 44 H 0.96701 * 114.00404 * 313.20177 * 15 14 13 45 45 H 1.09002 * 113.46924 * 332.74209 * 16 14 13 46 46 H 1.08999 * 113.52424 * 202.30894 * 16 14 13 47 47 H 0.97001 * 120.00317 * 5.69438 * 21 20 18 48 48 H 1.09000 * 113.46262 * 87.44046 * 26 17 16 49 49 H 1.09007 * 113.46648 * 217.87577 * 26 17 16 50 50 H 1.09004 * 109.52061 * 176.88383 * 27 7 6 51 51 H 1.08998 * 109.52368 * 297.07531 * 27 7 6 52 52 H 1.08994 * 109.48030 * 182.41157 * 28 27 7 53 53 H 1.08994 * 109.47827 * 62.37027 * 28 27 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 1.2491 5 1 1.6764 -1.7488 1.2497 6 6 3.5710 -0.7219 1.2489 7 6 4.0737 -1.3922 2.5313 8 1 5.1623 -1.3476 2.5634 9 6 3.6203 -2.8532 2.5567 10 6 4.2174 -3.5437 3.7559 11 8 4.9344 -2.9277 4.5155 12 7 3.9544 -4.8457 3.9840 13 6 4.5343 -5.5168 5.1500 14 6 4.0811 -6.9779 5.1754 15 8 4.3099 -7.6648 3.9434 16 6 4.5290 -7.7543 6.4215 17 7 3.3083 -7.2810 7.0914 18 6 2.9251 -7.0331 8.3825 19 1 3.6560 -7.0582 9.1770 20 6 1.5970 -6.7492 8.6699 21 7 0.6548 -7.0659 7.8071 22 14 1.1471 -5.9180 10.2811 23 1 2.3798 -5.6691 11.0708 24 1 0.2340 -6.7979 11.0540 25 1 0.4697 -4.6267 9.9997 26 6 2.6783 -7.1974 5.7651 27 6 3.4928 -0.6543 3.7414 28 6 1.9648 -0.6563 3.6454 29 8 1.5650 -0.0471 2.4161 30 1 -0.3633 0.5138 0.8901 31 1 -0.3635 0.5139 -0.8899 32 1 -0.3633 -1.0276 0.0005 33 1 1.8932 -0.5137 -0.8900 34 1 3.1299 1.4425 -0.0005 35 1 1.6765 1.9564 -0.8899 36 1 1.6767 1.9562 0.8900 37 1 3.9356 0.3044 1.2073 38 1 3.9358 -1.2736 0.3825 39 1 3.9530 -3.3529 1.6468 40 1 2.5328 -2.8953 2.6174 41 1 3.3811 -5.3385 3.3761 42 1 4.2009 -5.0174 6.0597 43 1 5.6219 -5.4743 5.0900 44 1 4.0267 -7.1731 3.1604 45 1 5.4460 -7.3685 6.8670 46 1 4.5533 -8.8342 6.2757 47 1 0.8774 -7.5706 7.0093 48 1 2.2142 -8.1305 5.4455 49 1 2.0184 -6.3372 5.6514 50 1 3.8008 -1.1583 4.6576 51 1 3.8558 0.3734 3.7502 52 1 1.5473 -0.0956 4.4816 53 1 1.6000 -1.6829 3.6774 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 ZINC001278923176.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 06:11:44 Heat of formation + Delta-G solvation = -91.969498 kcal Electronic energy + Delta-G solvation = -31319.568463 eV Core-core repulsion = 27192.618107 eV Total energy + Delta-G solvation = -4126.950355 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.34 seconds Orbital eigenvalues (eV) -40.68368 -39.70363 -38.72836 -35.63428 -35.34985 -34.59912 -34.08320 -32.23903 -30.24635 -29.50279 -27.75567 -27.29035 -26.03394 -25.08137 -24.62512 -23.70888 -22.33585 -20.83039 -20.43397 -19.38654 -18.94372 -17.70798 -17.40711 -16.68478 -16.35830 -16.15763 -15.74804 -15.50226 -15.05535 -14.54765 -14.51178 -14.38205 -14.22571 -14.05321 -13.82419 -13.75511 -13.46752 -13.21433 -13.10600 -12.74791 -12.43829 -12.24177 -12.11145 -11.97742 -11.90329 -11.77234 -11.61235 -11.46536 -11.27022 -11.07155 -10.94888 -10.91674 -10.73148 -10.60868 -10.25447 -10.18076 -10.10426 -9.76258 -9.61452 -9.40466 -9.27319 -8.94965 -8.71658 -7.15457 -6.20743 -3.25004 2.66415 3.13985 3.46122 3.50923 3.62170 3.63863 4.24011 4.32727 4.46020 4.55255 4.56712 4.67890 4.71012 4.79141 4.85836 4.95535 4.99527 5.04722 5.08501 5.10174 5.17677 5.27259 5.28959 5.41022 5.44322 5.46150 5.50748 5.52888 5.62539 5.68723 5.74708 5.79028 5.84206 5.89328 5.99182 6.05169 6.09153 6.12953 6.19103 6.21785 6.29097 6.31972 6.33982 6.45959 6.53765 6.71381 7.13832 7.13989 7.46249 7.80859 8.22491 8.25034 8.81380 9.66135 10.36051 11.19822 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012340 B = 0.002758 C = 0.002501 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2268.428703 B =10149.558376 C =11190.640684 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.087 4.087 3 C -0.146 4.146 4 C 0.092 3.908 5 H 0.057 0.943 6 C -0.147 4.147 7 C -0.071 4.071 8 H 0.082 0.918 9 C -0.144 4.144 10 C 0.514 3.486 11 O -0.535 6.535 12 N -0.728 5.728 13 C 0.127 3.873 14 C 0.060 3.940 15 O -0.548 6.548 16 C 0.138 3.862 17 N -0.608 5.608 18 C -0.315 4.315 19 H 0.079 0.921 20 C -0.030 4.030 21 N -0.930 5.930 22 Si 1.080 2.920 23 H -0.291 1.291 24 H -0.292 1.292 25 H -0.289 1.289 26 C 0.115 3.885 27 C -0.156 4.156 28 C 0.058 3.942 29 O -0.374 6.374 30 H 0.064 0.936 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.078 0.922 34 H 0.055 0.945 35 H 0.050 0.950 36 H 0.064 0.936 37 H 0.078 0.922 38 H 0.071 0.929 39 H 0.094 0.906 40 H 0.094 0.906 41 H 0.395 0.605 42 H 0.094 0.906 43 H 0.071 0.929 44 H 0.363 0.637 45 H 0.052 0.948 46 H 0.046 0.954 47 H 0.266 0.734 48 H 0.042 0.958 49 H 0.054 0.946 50 H 0.094 0.906 51 H 0.069 0.931 52 H 0.093 0.907 53 H 0.049 0.951 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.934 12.882 -18.686 23.034 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 -0.203 4.203 2 C -0.106 4.106 3 C -0.203 4.203 4 C 0.034 3.966 5 H 0.075 0.925 6 C -0.185 4.185 7 C -0.090 4.090 8 H 0.101 0.899 9 C -0.184 4.184 10 C 0.300 3.700 11 O -0.411 6.411 12 N -0.381 5.381 13 C 0.004 3.996 14 C 0.018 3.982 15 O -0.352 6.352 16 C 0.011 3.989 17 N -0.337 5.337 18 C -0.442 4.442 19 H 0.096 0.904 20 C -0.230 4.230 21 N -0.573 5.573 22 Si 0.910 3.090 23 H -0.217 1.217 24 H -0.219 1.219 25 H -0.215 1.215 26 C -0.012 4.012 27 C -0.193 4.193 28 C -0.018 4.018 29 O -0.293 6.293 30 H 0.083 0.917 31 H 0.071 0.929 32 H 0.071 0.929 33 H 0.096 0.904 34 H 0.074 0.926 35 H 0.069 0.931 36 H 0.083 0.917 37 H 0.097 0.903 38 H 0.090 0.910 39 H 0.112 0.888 40 H 0.112 0.888 41 H 0.229 0.771 42 H 0.112 0.888 43 H 0.089 0.911 44 H 0.210 0.790 45 H 0.070 0.930 46 H 0.063 0.937 47 H 0.077 0.923 48 H 0.059 0.941 49 H 0.072 0.928 50 H 0.112 0.888 51 H 0.087 0.913 52 H 0.111 0.889 53 H 0.067 0.933 Dipole moment (debyes) X Y Z Total from point charges 3.276 13.730 -16.557 21.757 hybrid contribution 0.869 -1.149 -1.476 2.062 sum 4.145 12.581 -18.034 22.376 Atomic orbital electron populations 1.21779 0.94652 1.01755 1.02095 1.21149 0.96556 0.97023 0.95853 1.21825 1.00820 0.95669 1.01973 1.22132 0.92749 0.95540 0.86148 0.92497 1.22338 0.96383 1.02073 0.97683 1.20909 1.01241 0.92002 0.94803 0.89932 1.21900 1.02484 0.96893 0.97150 1.20582 0.80987 0.81488 0.86938 1.90680 1.37655 1.64507 1.48288 1.45977 1.51938 1.11335 1.28830 1.21516 0.97984 0.90749 0.89352 1.23723 0.99447 0.90800 0.84278 1.86599 1.86417 1.46741 1.15403 1.22300 0.92517 0.96580 0.87499 1.45603 1.10724 1.75853 1.01503 1.19820 0.95425 1.47237 0.81674 0.90367 1.25869 0.90728 1.01079 1.05320 1.70718 1.33889 1.38919 1.13739 0.83282 0.75136 0.76531 0.74072 1.21708 1.21950 1.21542 1.22909 0.93123 0.99307 0.85866 1.22313 0.95729 1.01327 0.99948 1.22644 0.94523 0.98087 0.86591 1.87903 1.74593 1.53589 1.13259 0.91697 0.92939 0.92922 0.90372 0.92635 0.93119 0.91734 0.90316 0.91019 0.88797 0.88780 0.77145 0.88810 0.91111 0.79048 0.93011 0.93656 0.92286 0.94082 0.92816 0.88787 0.91275 0.88853 0.93276 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 -0.15 -1.14 9.05 37.15 0.34 -0.80 16 2 C -0.09 -0.66 2.81 -90.62 -0.25 -0.92 16 3 C -0.15 -1.09 8.70 37.16 0.32 -0.77 16 4 C 0.09 0.80 2.10 -26.68 -0.06 0.75 16 5 H 0.06 0.49 6.72 -51.93 -0.35 0.14 16 6 C -0.15 -1.19 4.63 -26.59 -0.12 -1.31 16 7 C -0.07 -0.70 2.33 -90.44 -0.21 -0.91 16 8 H 0.08 0.90 7.95 -51.93 -0.41 0.48 16 9 C -0.14 -1.37 4.60 -27.88 -0.13 -1.50 16 10 C 0.51 6.89 7.53 -10.98 -0.08 6.81 16 11 O -0.53 -9.16 14.01 5.56 0.08 -9.08 16 12 N -0.73 -9.53 5.32 -60.29 -0.32 -9.85 16 13 C 0.13 2.13 5.33 -4.04 -0.02 2.11 16 14 C 0.06 1.06 1.74 -89.98 -0.16 0.91 16 15 O -0.55 -8.43 13.56 -35.23 -0.48 -8.91 16 16 C 0.14 2.88 8.10 -8.51 -0.07 2.81 16 17 N -0.61 -15.34 3.46 -184.60 -0.64 -15.98 16 18 C -0.32 -8.87 10.65 -15.06 -0.16 -9.03 16 19 H 0.08 2.17 7.89 -52.49 -0.41 1.75 16 20 C -0.03 -0.86 5.45 -17.43 -0.09 -0.96 16 21 N -0.93 -28.21 13.33 55.49 0.74 -27.47 16 22 Si 1.08 25.57 29.96 -169.99 -5.09 20.47 16 23 H -0.29 -6.48 7.11 56.52 0.40 -6.08 16 24 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 25 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 26 C 0.11 2.53 5.57 -8.37 -0.05 2.48 16 27 C -0.16 -1.77 5.40 -26.59 -0.14 -1.92 16 28 C 0.06 0.64 6.57 37.21 0.24 0.89 16 29 O -0.37 -4.08 9.06 -35.23 -0.32 -4.40 16 30 H 0.06 0.59 7.68 -51.92 -0.40 0.19 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.07 16 32 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.08 0.50 8.14 -51.93 -0.42 0.07 16 34 H 0.05 0.39 6.38 -51.93 -0.33 0.06 16 35 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 36 H 0.06 0.57 7.68 -51.93 -0.40 0.17 16 37 H 0.08 0.65 6.31 -51.93 -0.33 0.32 16 38 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 39 H 0.09 0.66 8.14 -51.93 -0.42 0.24 16 40 H 0.09 0.85 5.03 -51.93 -0.26 0.59 16 41 H 0.39 4.02 7.24 -40.82 -0.30 3.73 16 42 H 0.09 1.92 7.94 -51.93 -0.41 1.50 16 43 H 0.07 1.17 8.14 -51.92 -0.42 0.74 16 44 H 0.36 3.93 7.50 45.56 0.34 4.27 16 45 H 0.05 1.02 8.12 -51.93 -0.42 0.60 16 46 H 0.05 0.96 8.14 -51.93 -0.42 0.53 16 47 H 0.27 7.99 5.92 -40.82 -0.24 7.75 16 48 H 0.04 0.95 7.98 -51.93 -0.41 0.53 16 49 H 0.05 1.26 7.94 -51.93 -0.41 0.85 16 50 H 0.09 1.31 5.96 -51.93 -0.31 1.01 16 51 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 52 H 0.09 1.00 8.14 -51.93 -0.42 0.58 16 53 H 0.05 0.56 6.49 -51.93 -0.34 0.22 16 LS Contribution 402.75 15.07 6.07 6.07 Total: -1.00 -33.86 402.75 -9.03 -42.88 By element: Atomic # 1 Polarization: 16.04 SS G_CDS: -8.42 Total: 7.62 kcal Atomic # 6 Polarization: -0.71 SS G_CDS: -0.64 Total: -1.36 kcal Atomic # 7 Polarization: -53.08 SS G_CDS: -0.22 Total: -53.30 kcal Atomic # 8 Polarization: -21.67 SS G_CDS: -0.72 Total: -22.39 kcal Atomic # 14 Polarization: 25.57 SS G_CDS: -5.09 Total: 20.47 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -33.86 -9.03 -42.88 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. ZINC001278923176.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 -49.088 kcal (2) G-P(sol) polarization free energy of solvation -33.856 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -82.943 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.026 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.882 kcal (6) G-S(sol) free energy of system = (1) + (5) -91.969 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.34 seconds