Wall clock time and date at job start Tue Mar 31 2020 23:55:36 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 1.52996 * 1 3 3 H 1.09002 * 109.45607 * 2 1 4 4 C 1.53046 * 109.46045 * 240.04501 * 2 1 3 5 5 C 1.53198 * 109.30825 * 178.61328 * 4 2 1 6 6 H 1.09000 * 109.58180 * 174.56469 * 5 4 2 7 7 C 1.53001 * 109.58716 * 294.84314 * 5 4 2 8 8 N 1.46917 * 108.77691 * 54.63266 * 5 4 2 9 9 C 1.34783 * 120.62821 * 126.41014 * 8 5 4 10 10 O 1.21680 * 119.99998 * 354.75125 * 9 8 5 11 11 C 1.46378 * 119.99773 * 174.75182 * 9 8 5 12 12 H 1.08007 * 119.99964 * 348.70494 * 11 9 8 13 13 C 1.40053 * 119.99997 * 168.70792 * 11 9 8 14 14 N 1.30673 * 119.99842 * 170.78383 * 13 11 9 15 15 Si 1.86800 * 119.99765 * 350.78881 * 13 11 9 16 16 H 1.48501 * 109.47099 * 84.69742 * 15 13 11 17 17 H 1.48502 * 109.46915 * 204.69682 * 15 13 11 18 18 H 1.48496 * 109.47363 * 324.69958 * 15 13 11 19 19 C 1.46930 * 118.76777 * 306.40965 * 8 5 4 20 20 C 1.53033 * 109.46131 * 119.97433 * 2 1 3 21 21 H 1.08997 * 109.50085 * 61.40463 * 20 2 1 22 22 C 1.53004 * 109.49956 * 301.33735 * 20 2 1 23 23 N 1.46495 * 109.47518 * 175.06455 * 22 20 2 24 24 C 1.34776 * 120.00116 * 180.02562 * 23 22 20 25 25 O 1.21506 * 119.99789 * 0.02562 * 24 23 22 26 26 O 1.34640 * 119.99813 * 179.97438 * 24 23 22 27 27 C 1.45199 * 116.99511 * 179.97438 * 26 24 23 28 28 C 1.52997 * 109.46932 * 60.00904 * 27 26 24 29 29 C 1.52996 * 109.47525 * 300.00464 * 27 26 24 30 30 C 1.53007 * 109.46835 * 180.02562 * 27 26 24 31 31 H 1.08998 * 109.47387 * 300.02392 * 1 2 3 32 32 H 1.09005 * 109.47096 * 60.03113 * 1 2 3 33 33 H 1.09008 * 109.46879 * 180.02562 * 1 2 3 34 34 H 1.08995 * 109.49774 * 298.56072 * 4 2 1 35 35 H 1.08995 * 109.49787 * 58.63081 * 4 2 1 36 36 H 1.09003 * 109.47153 * 60.00127 * 7 5 4 37 37 H 1.09002 * 109.47277 * 180.02562 * 7 5 4 38 38 H 1.09001 * 109.47214 * 300.00709 * 7 5 4 39 39 H 0.97001 * 119.99463 * 179.97438 * 14 13 11 40 40 H 1.08997 * 109.56413 * 293.78710 * 19 8 5 41 41 H 1.09005 * 109.61734 * 173.35847 * 19 8 5 42 42 H 1.09001 * 109.46674 * 55.06232 * 22 20 2 43 43 H 1.09000 * 109.46782 * 295.06830 * 22 20 2 44 44 H 0.97005 * 120.00045 * 0.02562 * 23 22 20 45 45 H 1.09001 * 109.47074 * 299.99286 * 28 27 26 46 46 H 1.09001 * 109.47682 * 59.99993 * 28 27 26 47 47 H 1.09007 * 109.47138 * 179.97438 * 28 27 26 48 48 H 1.09003 * 109.47131 * 180.02562 * 29 27 26 49 49 H 1.09006 * 109.47089 * 299.99964 * 29 27 26 50 50 H 1.09001 * 109.47169 * 60.00293 * 29 27 26 51 51 H 1.09002 * 109.46738 * 299.99874 * 30 27 26 52 52 H 1.08995 * 109.47120 * 59.99910 * 30 27 26 53 53 H 1.08999 * 109.47049 * 180.02562 * 30 27 26 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 1 1.8930 1.0278 0.0000 4 6 2.0398 -0.7205 -1.2503 5 6 3.5714 -0.6883 -1.2643 6 1 3.9417 -1.2820 -2.1001 7 6 4.0527 0.7569 -1.4089 8 7 4.0679 -1.2486 -0.0002 9 6 4.9621 -2.2570 -0.0004 10 8 5.2938 -2.7759 -1.0498 11 6 5.5343 -2.7280 1.2620 12 1 5.3861 -2.1587 2.1677 13 6 6.2739 -3.9169 1.2952 14 7 6.9341 -4.2456 2.3739 15 14 6.3166 -5.0324 -0.2026 16 1 7.3692 -4.5633 -1.1393 17 1 6.6175 -6.4226 0.2241 18 1 4.9973 -4.9980 -0.8832 19 6 3.5714 -0.6893 1.2645 20 6 2.0398 -0.7209 1.2499 21 1 1.6974 -1.7556 1.2383 22 6 1.5027 -0.0192 2.4990 23 7 1.8930 -0.7767 3.6906 24 6 1.5275 -0.3443 4.9137 25 8 0.8740 0.6736 5.0279 26 8 1.8858 -1.0409 6.0088 27 6 1.4578 -0.5158 7.2931 28 6 -0.0700 -0.4460 7.3320 29 6 2.0376 0.8863 7.4897 30 6 1.9555 -1.4344 8.4110 31 1 -0.3634 0.5142 0.8897 32 1 -0.3633 0.5134 -0.8903 33 1 -0.3633 -1.0278 0.0005 34 1 1.6979 -1.7554 -1.2386 35 1 1.6568 -0.2207 -2.1399 36 1 3.6856 1.3478 -0.5697 37 1 5.1425 0.7776 -1.4191 38 1 3.6728 1.1748 -2.3411 39 1 7.4461 -5.0692 2.3970 40 1 3.9147 0.3400 1.3681 41 1 3.9412 -1.2857 2.0986 42 1 0.4156 0.0377 2.4445 43 1 1.9169 0.9874 2.5566 44 1 2.4144 -1.5896 3.5994 45 1 -0.4242 0.2086 6.5356 46 1 -0.4831 -1.4450 7.1920 47 1 -0.3914 -0.0523 8.2963 48 1 1.7167 1.2803 8.4541 49 1 3.1262 0.8366 7.4621 50 1 1.6834 1.5409 6.6934 51 1 1.5426 -2.4334 8.2711 52 1 3.0439 -1.4838 8.3831 53 1 1.6338 -1.0405 9.3751 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 ZINC000496046034.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 23:55:36 Heat of formation + Delta-G solvation = -144.859564 kcal Electronic energy + Delta-G solvation = -31888.401597 eV Core-core repulsion = 27759.157756 eV Total energy + Delta-G solvation = -4129.243841 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.12 seconds Orbital eigenvalues (eV) -40.73051 -39.69176 -37.59194 -36.77966 -34.93324 -34.05087 -33.22251 -32.85809 -31.85081 -28.86180 -27.49515 -27.46154 -26.79684 -26.43670 -25.55686 -22.81556 -21.92907 -21.23068 -20.52703 -19.73540 -18.30674 -18.02892 -16.88532 -16.63019 -16.13753 -16.02147 -15.36341 -15.12322 -14.71312 -14.56853 -14.54263 -14.13060 -13.87836 -13.61245 -13.46385 -13.28492 -13.13742 -12.58420 -12.51596 -12.45456 -12.25789 -12.19256 -12.12935 -12.02564 -11.97302 -11.96143 -11.62568 -11.50200 -11.41011 -11.35685 -11.23384 -10.86353 -10.77034 -10.60097 -10.43611 -10.37781 -10.21650 -9.99461 -9.84381 -9.39876 -9.05365 -9.04849 -7.90722 -7.55811 -6.64846 -4.87389 2.25753 2.93144 3.43680 3.48092 3.72127 4.09151 4.18786 4.20651 4.53661 4.63551 4.68197 4.75345 4.81805 4.87270 4.91445 5.14612 5.31871 5.36324 5.39817 5.43210 5.48787 5.53514 5.58163 5.59160 5.62219 5.67601 5.71079 5.76260 5.78748 5.81361 5.85644 5.89765 5.95216 6.00398 6.08020 6.12568 6.17947 6.19722 6.25864 6.31860 6.35788 6.42049 6.47369 6.51426 6.61289 6.74617 7.07198 7.52606 7.63118 7.84601 8.27848 8.47216 8.68834 9.12003 10.02216 10.35540 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009669 B = 0.003774 C = 0.002902 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2895.255261 B = 7416.853882 C = 9647.583578 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.080 4.080 3 H 0.075 0.925 4 C -0.119 4.119 5 C 0.139 3.861 6 H 0.093 0.907 7 C -0.159 4.159 8 N -0.625 5.625 9 C 0.554 3.446 10 O -0.616 6.616 11 C -0.533 4.533 12 H 0.089 0.911 13 C 0.102 3.898 14 N -0.826 5.826 15 Si 0.967 3.033 16 H -0.279 1.279 17 H -0.324 1.324 18 H -0.264 1.264 19 C 0.126 3.874 20 C -0.113 4.113 21 H 0.084 0.916 22 C 0.144 3.856 23 N -0.707 5.707 24 C 0.651 3.349 25 O -0.576 6.576 26 O -0.362 6.362 27 C 0.136 3.864 28 C -0.183 4.183 29 C -0.184 4.184 30 C -0.142 4.142 31 H 0.057 0.943 32 H 0.053 0.947 33 H 0.054 0.946 34 H 0.064 0.936 35 H 0.066 0.934 36 H 0.054 0.946 37 H 0.055 0.945 38 H 0.054 0.946 39 H 0.282 0.718 40 H 0.049 0.951 41 H 0.097 0.903 42 H 0.074 0.926 43 H 0.070 0.930 44 H 0.412 0.588 45 H 0.087 0.913 46 H 0.058 0.942 47 H 0.067 0.933 48 H 0.067 0.933 49 H 0.061 0.939 50 H 0.087 0.913 51 H 0.066 0.934 52 H 0.069 0.931 53 H 0.078 0.922 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.494 9.068 6.550 17.528 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 -0.208 4.208 2 C -0.099 4.099 3 H 0.093 0.907 4 C -0.158 4.158 5 C 0.035 3.965 6 H 0.111 0.889 7 C -0.217 4.217 8 N -0.358 5.358 9 C 0.364 3.636 10 O -0.509 6.509 11 C -0.569 4.569 12 H 0.107 0.893 13 C -0.116 4.116 14 N -0.455 5.455 15 Si 0.800 3.200 16 H -0.206 1.206 17 H -0.255 1.255 18 H -0.190 1.190 19 C 0.002 3.998 20 C -0.133 4.133 21 H 0.102 0.898 22 C 0.022 3.978 23 N -0.367 5.367 24 C 0.404 3.596 25 O -0.467 6.467 26 O -0.277 6.277 27 C 0.099 3.901 28 C -0.240 4.240 29 C -0.241 4.241 30 C -0.199 4.199 31 H 0.076 0.924 32 H 0.073 0.927 33 H 0.073 0.927 34 H 0.083 0.917 35 H 0.084 0.916 36 H 0.073 0.927 37 H 0.074 0.926 38 H 0.073 0.927 39 H 0.092 0.908 40 H 0.067 0.933 41 H 0.115 0.885 42 H 0.092 0.908 43 H 0.088 0.912 44 H 0.248 0.752 45 H 0.106 0.894 46 H 0.078 0.922 47 H 0.086 0.914 48 H 0.086 0.914 49 H 0.080 0.920 50 H 0.106 0.894 51 H 0.085 0.915 52 H 0.088 0.912 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges -13.526 9.230 6.304 17.547 hybrid contribution 0.299 -0.711 -0.406 0.872 sum -13.227 8.519 5.899 16.803 Atomic orbital electron populations 1.21944 0.95431 1.01894 1.01556 1.21048 0.95090 0.99656 0.94121 0.90700 1.21949 0.96130 1.00804 0.96886 1.20831 0.92208 0.93923 0.89587 0.88876 1.22148 1.01627 0.97046 1.00869 1.47684 1.46162 1.38118 1.03858 1.18324 0.77485 0.77678 0.90159 1.90184 1.66347 1.59115 1.35226 1.20771 1.32658 1.09229 0.94220 0.89287 1.25762 0.90537 0.97676 0.97624 1.69566 1.23316 1.23442 1.29216 0.85207 0.80747 0.74111 0.79907 1.20579 1.25524 1.18973 1.21507 0.90738 0.98640 0.88950 1.21899 0.97651 1.00690 0.93014 0.89802 1.21467 1.00051 0.94910 0.81417 1.44858 1.58347 1.30488 1.02968 1.18073 0.78407 0.81569 0.81539 1.90863 1.43603 1.25940 1.86274 1.86354 1.73477 1.53175 1.14654 1.22025 0.94648 0.94231 0.79151 1.22514 0.94225 1.03235 1.04007 1.22518 1.01479 0.96332 1.03745 1.21866 1.02620 0.99597 0.95833 0.92413 0.92746 0.92665 0.91687 0.91553 0.92724 0.92593 0.92683 0.90808 0.93278 0.88502 0.90813 0.91214 0.75150 0.89384 0.92244 0.91362 0.91375 0.92020 0.89381 0.91450 0.91241 0.90343 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -1.51 8.81 37.16 0.33 -1.18 16 2 C -0.08 -0.95 2.02 -90.58 -0.18 -1.13 16 3 H 0.07 0.86 6.51 -51.93 -0.34 0.52 16 4 C -0.12 -1.63 4.84 -26.61 -0.13 -1.76 16 5 C 0.14 2.38 3.21 -67.60 -0.22 2.16 16 6 H 0.09 1.84 7.00 -51.93 -0.36 1.47 16 7 C -0.16 -2.30 9.02 37.16 0.34 -1.97 16 8 N -0.63 -12.60 2.68 -166.86 -0.45 -13.05 16 9 C 0.55 14.16 7.35 -12.98 -0.10 14.07 16 10 O -0.62 -17.40 11.68 5.21 0.06 -17.34 16 11 C -0.53 -14.41 9.22 -35.63 -0.33 -14.74 16 12 H 0.09 2.38 6.20 -52.48 -0.33 2.05 16 13 C 0.10 2.84 5.52 -17.36 -0.10 2.74 16 14 N -0.83 -22.91 13.92 55.55 0.77 -22.13 16 15 Si 0.97 25.19 25.86 -169.99 -4.40 20.79 16 16 H -0.28 -7.54 7.11 56.52 0.40 -7.13 16 17 H -0.32 -8.01 7.11 56.52 0.40 -7.61 16 18 H -0.26 -7.20 6.61 56.52 0.37 -6.83 16 19 C 0.13 2.10 4.96 -3.71 -0.02 2.08 16 20 C -0.11 -1.50 1.92 -90.50 -0.17 -1.67 16 21 H 0.08 1.21 8.14 -51.93 -0.42 0.78 16 22 C 0.14 1.78 4.82 -4.04 -0.02 1.76 16 23 N -0.71 -9.55 5.33 -65.28 -0.35 -9.90 16 24 C 0.65 9.57 8.06 54.05 0.44 10.01 16 25 O -0.58 -9.13 11.88 -19.28 -0.23 -9.36 16 26 O -0.36 -5.13 9.94 -40.32 -0.40 -5.53 16 27 C 0.14 1.57 1.13 -90.62 -0.10 1.47 16 28 C -0.18 -1.94 8.37 37.16 0.31 -1.63 16 29 C -0.18 -2.03 8.37 37.16 0.31 -1.72 16 30 C -0.14 -1.30 8.85 37.16 0.33 -0.97 16 31 H 0.06 0.55 6.30 -51.93 -0.33 0.22 16 32 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.05 0.57 8.14 -51.92 -0.42 0.14 16 34 H 0.06 0.97 8.14 -51.93 -0.42 0.55 16 35 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 36 H 0.05 0.73 5.72 -51.93 -0.30 0.43 16 37 H 0.05 0.91 8.14 -51.93 -0.42 0.48 16 38 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 39 H 0.28 7.24 8.29 -40.82 -0.34 6.90 16 40 H 0.05 0.78 7.48 -51.93 -0.39 0.39 16 41 H 0.10 1.78 4.71 -51.93 -0.24 1.54 16 42 H 0.07 0.87 6.14 -51.93 -0.32 0.55 16 43 H 0.07 0.87 8.14 -51.93 -0.42 0.45 16 44 H 0.41 5.61 7.81 -40.82 -0.32 5.30 16 45 H 0.09 1.12 5.88 -51.93 -0.31 0.81 16 46 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 48 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 49 H 0.06 0.69 8.14 -51.93 -0.42 0.26 16 50 H 0.09 1.16 5.88 -51.93 -0.31 0.85 16 51 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 52 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 53 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 LS Contribution 398.65 15.07 6.01 6.01 Total: -1.00 -31.81 398.65 -7.33 -39.14 By element: Atomic # 1 Polarization: 12.90 SS G_CDS: -9.04 Total: 3.86 kcal Atomic # 6 Polarization: 6.82 SS G_CDS: 0.69 Total: 7.51 kcal Atomic # 7 Polarization: -45.06 SS G_CDS: -0.02 Total: -45.09 kcal Atomic # 8 Polarization: -31.66 SS G_CDS: -0.57 Total: -32.23 kcal Atomic # 14 Polarization: 25.19 SS G_CDS: -4.40 Total: 20.79 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -31.81 -7.33 -39.14 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. ZINC000496046034.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 -105.716 kcal (2) G-P(sol) polarization free energy of solvation -31.815 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -137.530 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.329 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.144 kcal (6) G-S(sol) free energy of system = (1) + (5) -144.860 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.12 seconds