Wall clock time and date at job start Tue Mar 31 2020 16:12:40 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 N 1.46903 * 1 3 3 C 1.46901 * 111.00044 * 2 1 4 4 C 1.46899 * 111.00024 * 123.95539 * 2 1 3 5 5 H 1.08998 * 109.46765 * 192.15956 * 4 2 1 6 6 C 1.53007 * 109.46725 * 312.15564 * 4 2 1 7 7 N 1.46896 * 109.47004 * 301.68078 * 6 4 2 8 8 C 1.46907 * 110.99762 * 180.02562 * 7 6 4 9 9 C 1.50694 * 109.46887 * 180.02562 * 8 7 6 10 10 C 1.38288 * 119.92638 * 269.72431 * 9 8 7 11 11 C 1.38107 * 120.07304 * 179.72676 * 10 9 8 12 12 C 1.38908 * 119.92528 * 0.55224 * 11 10 9 13 13 N 1.39675 * 120.07514 * 179.74914 * 12 11 10 14 14 C 1.46501 * 119.99977 * 179.97438 * 13 12 11 15 15 C 1.46504 * 119.99983 * 359.97115 * 13 12 11 16 16 C 1.50706 * 109.46695 * 90.00418 * 15 13 12 17 17 H 1.08000 * 119.99903 * 359.97438 * 16 15 13 18 18 C 1.37871 * 119.99484 * 180.02562 * 16 15 13 19 19 N 1.31509 * 120.00556 * 359.97438 * 18 16 15 20 20 Si 1.86807 * 119.99630 * 180.02562 * 18 16 15 21 21 H 1.48494 * 109.47293 * 59.99504 * 20 18 16 22 22 H 1.48502 * 109.47044 * 179.97438 * 20 18 16 23 23 H 1.48504 * 109.46836 * 299.99553 * 20 18 16 24 24 C 1.38913 * 119.85386 * 359.72241 * 12 11 10 25 25 C 1.38108 * 119.91944 * 0.02562 * 24 12 11 26 26 C 1.52998 * 109.47279 * 72.15574 * 4 2 1 27 27 C 1.53000 * 117.49864 * 133.68685 * 26 4 2 28 28 C 1.52997 * 117.50048 * 65.02467 * 26 4 2 29 29 H 1.09001 * 109.46749 * 303.27739 * 1 2 3 30 30 H 1.08999 * 109.47482 * 63.27229 * 1 2 3 31 31 H 1.08995 * 109.47288 * 183.27726 * 1 2 3 32 32 H 1.09001 * 109.46814 * 175.19499 * 3 2 1 33 33 H 1.09008 * 109.46893 * 295.19021 * 3 2 1 34 34 H 1.08993 * 109.47446 * 55.18538 * 3 2 1 35 35 H 1.09004 * 109.46970 * 181.68382 * 6 4 2 36 36 H 1.09000 * 109.47161 * 61.68543 * 6 4 2 37 37 H 1.00896 * 111.00165 * 303.95327 * 7 6 4 38 38 H 1.08997 * 109.46708 * 60.00341 * 8 7 6 39 39 H 1.08997 * 109.46855 * 300.00482 * 8 7 6 40 40 H 1.07991 * 119.96106 * 359.97438 * 10 9 8 41 41 H 1.08002 * 120.03547 * 180.27359 * 11 10 9 42 42 H 1.08994 * 109.47566 * 90.00022 * 14 13 12 43 43 H 1.09004 * 109.46906 * 209.99739 * 14 13 12 44 44 H 1.09001 * 109.46924 * 329.99486 * 14 13 12 45 45 H 1.08997 * 109.47179 * 209.99851 * 15 13 12 46 46 H 1.08993 * 109.47157 * 330.00690 * 15 13 12 47 47 H 0.96999 * 120.00334 * 180.02562 * 19 18 16 48 48 H 1.07991 * 120.04260 * 179.97438 * 24 12 11 49 49 H 1.08007 * 119.95814 * 179.97438 * 25 24 12 50 50 H 1.09006 * 115.55069 * 279.35711 * 26 4 2 51 51 H 1.08996 * 117.49364 * 359.97438 * 27 26 4 52 52 H 1.08999 * 117.49642 * 145.02347 * 27 26 4 53 53 H 1.08998 * 117.50011 * 214.98110 * 28 26 4 54 54 H 1.09005 * 117.49577 * 359.97253 * 28 26 4 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 7 1.4690 0.0000 0.0000 3 6 1.9955 1.3714 0.0000 4 6 1.9955 -0.7660 1.1376 5 1 3.0635 -0.5748 1.2411 6 6 1.2743 -0.3386 2.4176 7 7 1.4616 1.1032 2.6269 8 6 0.7818 1.5502 3.8501 9 6 0.9952 3.0310 4.0309 10 6 2.0834 3.4883 4.7512 11 6 2.2850 4.8449 4.9140 12 6 1.3869 5.7499 4.3628 13 7 1.5849 7.1224 4.5300 14 6 0.6370 8.0756 3.9475 15 6 2.7405 7.6089 5.2878 16 6 3.9054 7.8103 4.3531 17 1 3.7960 7.5969 3.3000 18 6 5.1111 8.2660 4.8425 19 7 5.2445 8.5255 6.1249 20 14 6.5548 8.5164 3.6838 21 1 6.1893 9.5131 2.6456 22 1 7.7263 9.0094 4.4520 23 1 6.8966 7.2261 3.0329 24 6 0.2917 5.2870 3.6446 25 6 0.0989 3.9293 3.4813 26 6 1.7656 -2.2594 0.8970 27 6 2.9377 -3.2063 1.1623 28 6 2.5044 -2.9080 -0.2753 29 1 -0.3633 0.5639 0.8592 30 1 -0.3634 0.4622 -0.9178 31 1 -0.3633 -1.0259 0.0587 32 1 3.0817 1.3436 0.0861 33 1 1.7173 1.8674 -0.9300 34 1 1.5780 1.9209 0.8436 35 1 1.6856 -0.8854 3.2661 36 1 0.2105 -0.5573 2.3255 37 1 2.4419 1.3408 2.6511 38 1 1.1900 1.0165 4.7083 39 1 -0.2855 1.3445 3.7685 40 1 2.7785 2.7840 5.1836 41 1 3.1376 5.2015 5.4730 42 1 -0.1540 8.2870 4.6669 43 1 1.1581 9.0000 3.6984 44 1 0.2018 7.6489 3.0438 45 1 2.4895 8.5563 5.7648 46 1 3.0088 6.8779 6.0504 47 1 6.0926 8.8465 6.4691 48 1 -0.4087 5.9880 3.2152 49 1 -0.7527 3.5687 2.9233 50 1 0.7634 -2.6233 1.1235 51 1 3.8726 -2.7652 1.5078 52 1 2.7065 -4.1933 1.5629 53 1 1.9885 -3.6989 -0.8197 54 1 3.1540 -2.2707 -0.8754 RHF calculation, no. of doubly occupied orbitals= 64 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) 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 ZINC000069782153.mol2 54 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 16:12:40 Heat of formation + Delta-G solvation = 73.206172 kcal Electronic energy + Delta-G solvation = -28528.190945 eV Core-core repulsion = 24887.033909 eV Total energy + Delta-G solvation = -3641.157036 eV No. of doubly occupied orbitals = 64 Molecular weight (most abundant/longest-lived isotopes) = 331.232 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -39.52146 -38.93141 -36.64133 -35.85950 -34.43310 -32.71057 -30.55033 -30.45395 -28.59150 -27.81481 -27.51476 -25.83010 -24.31029 -23.30399 -22.40724 -22.24583 -22.02911 -21.48085 -19.90087 -19.47233 -16.77830 -16.51898 -16.50504 -15.95772 -15.51335 -15.23558 -15.01268 -14.61316 -14.43460 -14.33759 -14.02927 -13.73078 -13.58261 -13.45060 -12.99457 -12.88895 -12.44483 -12.28160 -12.18981 -12.08058 -11.90471 -11.70184 -11.69608 -11.53369 -11.42378 -11.42020 -11.26081 -11.03713 -10.96365 -10.76842 -10.68825 -10.40206 -10.29773 -10.29143 -9.92071 -9.78334 -8.89325 -8.73370 -8.52584 -8.29730 -7.85625 -6.49001 -6.03963 -4.19703 2.08193 2.18707 3.26593 3.31016 3.34394 3.49203 4.01377 4.13501 4.18018 4.39183 4.49118 4.64720 4.71585 4.85232 5.00588 5.12701 5.15918 5.19426 5.23294 5.29392 5.34285 5.44842 5.46092 5.53501 5.58172 5.60141 5.66853 5.72023 5.74440 5.78911 5.80648 5.92712 5.95814 5.98935 6.00817 6.05731 6.07055 6.25987 6.35225 6.40642 6.43331 6.61628 6.84908 6.95429 7.02786 7.07371 7.12666 7.17640 7.21256 7.29171 7.36658 7.57413 7.78686 8.13073 8.24161 8.46154 8.89097 9.47221 10.93502 Molecular weight = 331.23amu Principal moments of inertia in cm(-1) A = 0.013163 B = 0.002508 C = 0.002306 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2126.585182 B =11161.941057 C =12140.874341 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.025 3.975 2 N -0.528 5.528 3 C 0.004 3.996 4 C 0.115 3.885 5 H 0.077 0.923 6 C 0.027 3.973 7 N -0.678 5.678 8 C 0.114 3.886 9 C -0.174 4.174 10 C -0.067 4.067 11 C -0.187 4.187 12 C 0.242 3.758 13 N -0.615 5.615 14 C 0.098 3.902 15 C 0.249 3.751 16 C -0.532 4.532 17 H 0.059 0.941 18 C 0.062 3.938 19 N -0.895 5.895 20 Si 0.896 3.104 21 H -0.277 1.277 22 H -0.286 1.286 23 H -0.275 1.275 24 C -0.222 4.222 25 C -0.051 4.051 26 C -0.142 4.142 27 C -0.183 4.183 28 C -0.159 4.159 29 H 0.041 0.959 30 H 0.058 0.942 31 H 0.056 0.944 32 H 0.052 0.948 33 H 0.053 0.947 34 H 0.084 0.916 35 H 0.031 0.969 36 H 0.075 0.925 37 H 0.343 0.657 38 H 0.029 0.971 39 H 0.068 0.932 40 H 0.106 0.894 41 H 0.131 0.869 42 H 0.035 0.965 43 H 0.067 0.933 44 H 0.055 0.945 45 H 0.030 0.970 46 H 0.035 0.965 47 H 0.265 0.735 48 H 0.113 0.887 49 H 0.107 0.893 50 H 0.099 0.901 51 H 0.092 0.908 52 H 0.091 0.909 53 H 0.089 0.911 54 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.661 -18.859 -8.000 22.650 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 -0.123 4.123 2 N -0.250 5.250 3 C -0.144 4.144 4 C 0.006 3.994 5 H 0.095 0.905 6 C -0.104 4.104 7 N -0.309 5.309 8 C -0.014 4.014 9 C -0.177 4.177 10 C -0.086 4.086 11 C -0.209 4.209 12 C 0.135 3.865 13 N -0.321 5.321 14 C -0.046 4.046 15 C 0.129 3.871 16 C -0.570 4.570 17 H 0.077 0.923 18 C -0.141 4.141 19 N -0.534 5.534 20 Si 0.724 3.276 21 H -0.202 1.202 22 H -0.212 1.212 23 H -0.201 1.201 24 C -0.245 4.245 25 C -0.070 4.070 26 C -0.161 4.161 27 C -0.221 4.221 28 C -0.196 4.196 29 H 0.059 0.941 30 H 0.077 0.923 31 H 0.075 0.925 32 H 0.071 0.929 33 H 0.072 0.928 34 H 0.102 0.898 35 H 0.049 0.951 36 H 0.093 0.907 37 H 0.161 0.839 38 H 0.047 0.953 39 H 0.087 0.913 40 H 0.124 0.876 41 H 0.149 0.851 42 H 0.054 0.946 43 H 0.086 0.914 44 H 0.073 0.927 45 H 0.048 0.952 46 H 0.053 0.947 47 H 0.074 0.926 48 H 0.131 0.869 49 H 0.125 0.875 50 H 0.117 0.883 51 H 0.110 0.890 52 H 0.110 0.890 53 H 0.107 0.893 54 H 0.116 0.884 Dipole moment (debyes) X Y Z Total from point charges -9.854 -18.566 -8.660 22.733 hybrid contribution 1.236 0.296 0.801 1.502 sum -8.619 -18.270 -7.859 21.676 Atomic orbital electron populations 1.22332 0.88120 1.00889 1.01005 1.62249 1.07810 1.14495 1.40453 1.22788 0.99639 0.89196 1.02812 1.21292 0.98740 0.90995 0.88399 0.90502 1.22692 1.01494 0.88779 0.97418 1.60893 1.18524 1.13574 1.37953 1.20658 0.98670 0.92289 0.89756 1.19139 0.98849 0.93662 1.06039 1.20645 0.95963 0.94825 0.97209 1.20843 1.01683 0.92154 1.06259 1.17962 0.92378 0.84522 0.91643 1.47112 1.27363 1.01360 1.56220 1.21476 0.92515 0.93649 0.96963 1.19282 0.81674 0.94986 0.91122 1.21534 0.95836 1.44582 0.95095 0.92306 1.24960 0.98698 0.95216 0.95177 1.69916 1.25900 1.45176 1.12437 0.86580 0.81583 0.78706 0.80737 1.20218 1.21190 1.20074 1.20568 1.00607 0.95627 1.07722 1.20464 0.97601 0.92128 0.96848 1.22111 0.96677 0.92890 1.04395 1.23010 0.98751 1.00209 1.00090 1.22770 1.03507 1.02504 0.90807 0.94077 0.92321 0.92493 0.92870 0.92833 0.89814 0.95056 0.90698 0.83852 0.95273 0.91334 0.87554 0.85142 0.94613 0.91440 0.92652 0.95211 0.94672 0.92576 0.86933 0.87470 0.88300 0.88952 0.89030 0.89289 0.88424 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.02 0.24 8.47 60.07 0.51 0.75 16 2 N -0.53 -5.46 4.88 -243.17 -1.19 -6.65 16 3 C 0.00 0.04 8.87 60.07 0.53 0.57 16 4 C 0.12 1.07 2.25 -67.71 -0.15 0.92 16 5 H 0.08 0.77 7.62 -51.93 -0.40 0.37 16 6 C 0.03 0.25 4.42 -3.82 -0.02 0.24 16 7 N -0.68 -7.33 3.08 -115.06 -0.35 -7.69 16 8 C 0.11 1.35 5.81 -4.97 -0.03 1.32 16 9 C -0.17 -2.57 5.39 -104.59 -0.56 -3.13 16 10 C -0.07 -1.11 9.69 -39.61 -0.38 -1.49 16 11 C -0.19 -3.71 9.21 -39.38 -0.36 -4.07 16 12 C 0.24 4.84 6.55 -83.79 -0.55 4.29 16 13 N -0.62 -13.06 2.99 -181.00 -0.54 -13.61 16 14 C 0.10 1.71 10.19 59.85 0.61 2.32 16 15 C 0.25 6.20 4.91 -5.19 -0.03 6.18 16 16 C -0.53 -14.40 9.39 -34.44 -0.32 -14.73 16 17 H 0.06 1.63 7.81 -52.49 -0.41 1.22 16 18 C 0.06 1.69 5.46 -17.82 -0.10 1.60 16 19 N -0.90 -25.52 13.29 55.43 0.74 -24.78 16 20 Si 0.90 21.21 29.54 -169.99 -5.02 16.19 16 21 H -0.28 -6.48 7.11 56.52 0.40 -6.07 16 22 H -0.29 -6.69 7.11 56.52 0.40 -6.29 16 23 H -0.28 -6.49 7.11 56.52 0.40 -6.08 16 24 C -0.22 -3.81 9.21 -39.38 -0.36 -4.17 16 25 C -0.05 -0.78 9.69 -39.61 -0.38 -1.16 16 26 C -0.14 -1.17 4.48 -90.62 -0.41 -1.58 16 27 C -0.18 -1.38 10.18 -26.69 -0.27 -1.65 16 28 C -0.16 -1.28 10.21 -26.69 -0.27 -1.55 16 29 H 0.04 0.43 6.45 -51.93 -0.34 0.09 16 30 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 31 H 0.06 0.50 7.09 -51.93 -0.37 0.13 16 32 H 0.05 0.60 7.89 -51.93 -0.41 0.19 16 33 H 0.05 0.61 8.14 -51.92 -0.42 0.18 16 34 H 0.08 1.04 5.36 -51.93 -0.28 0.76 16 35 H 0.03 0.29 8.14 -51.93 -0.42 -0.13 16 36 H 0.07 0.71 6.58 -51.93 -0.34 0.37 16 37 H 0.34 3.94 8.39 -39.29 -0.33 3.61 16 38 H 0.03 0.34 8.08 -51.93 -0.42 -0.08 16 39 H 0.07 0.78 8.08 -51.93 -0.42 0.36 16 40 H 0.11 1.56 8.06 -52.49 -0.42 1.14 16 41 H 0.13 2.88 6.14 -52.49 -0.32 2.55 16 42 H 0.04 0.56 8.14 -51.93 -0.42 0.14 16 43 H 0.07 1.20 8.07 -51.93 -0.42 0.79 16 44 H 0.05 0.86 6.20 -51.93 -0.32 0.54 16 45 H 0.03 0.78 8.07 -51.93 -0.42 0.36 16 46 H 0.04 0.93 6.20 -51.93 -0.32 0.60 16 47 H 0.26 7.17 8.31 -40.82 -0.34 6.83 16 48 H 0.11 1.76 6.14 -52.49 -0.32 1.43 16 49 H 0.11 1.42 8.06 -52.48 -0.42 1.00 16 50 H 0.10 0.79 7.79 -51.93 -0.40 0.39 16 51 H 0.09 0.70 8.08 -51.93 -0.42 0.28 16 52 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 53 H 0.09 0.64 8.14 -51.93 -0.42 0.22 16 54 H 0.10 0.87 8.14 -51.93 -0.42 0.45 16 LS Contribution 420.96 15.07 6.34 6.34 Total: -1.00 -27.69 420.96 -12.17 -39.87 By element: Atomic # 1 Polarization: 15.27 SS G_CDS: -9.60 Total: 5.67 kcal Atomic # 6 Polarization: -12.79 SS G_CDS: -2.55 Total: -15.34 kcal Atomic # 7 Polarization: -51.38 SS G_CDS: -1.35 Total: -52.73 kcal Atomic # 14 Polarization: 21.21 SS G_CDS: -5.02 Total: 16.19 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -27.69 -12.17 -39.87 kcal The number of atoms in the molecule is 54 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. ZINC000069782153.mol2 54 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 113.071 kcal (2) G-P(sol) polarization free energy of solvation -27.693 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 85.378 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.172 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.865 kcal (6) G-S(sol) free energy of system = (1) + (5) 73.206 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds