Wall clock time and date at job start Tue Mar 31 2020 19:20:56 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 1.53000 * 1 3 3 C 1.52999 * 109.47402 * 2 1 4 4 C 1.53001 * 109.47175 * 119.99861 * 2 1 3 5 5 H 1.09005 * 115.55028 * 325.58201 * 4 2 1 6 6 C 1.52995 * 117.52014 * 111.28137 * 4 2 1 7 7 C 1.52995 * 117.50323 * 179.91373 * 4 2 1 8 8 H 1.09011 * 117.49817 * 359.97438 * 7 4 2 9 9 C 1.50702 * 117.50476 * 144.99171 * 7 4 2 10 10 O 1.21280 * 119.99465 * 0.02562 * 9 7 4 11 11 N 1.34775 * 120.00281 * 180.02562 * 9 7 4 12 12 C 1.46928 * 120.64511 * 359.72681 * 11 9 7 13 13 C 1.52725 * 109.02682 * 233.63330 * 12 11 9 14 14 C 1.52989 * 109.42208 * 305.66365 * 13 12 11 15 15 C 1.52993 * 109.64044 * 61.06962 * 14 13 12 16 16 C 1.46935 * 120.64154 * 180.02562 * 11 9 7 17 17 C 1.53261 * 109.36498 * 181.00433 * 14 13 12 18 18 N 1.47158 * 108.40128 * 172.12834 * 17 14 13 19 19 C 1.36941 * 120.99032 * 129.48979 * 18 17 14 20 20 H 1.07993 * 119.99734 * 206.22342 * 19 18 17 21 21 C 1.38814 * 119.99819 * 26.22788 * 19 18 17 22 22 N 1.31621 * 120.00133 * 16.89760 * 21 19 18 23 23 Si 1.86800 * 119.99848 * 196.90561 * 21 19 18 24 24 H 1.48504 * 109.46969 * 359.97438 * 23 21 19 25 25 H 1.48501 * 109.46931 * 119.99489 * 23 21 19 26 26 H 1.48497 * 109.47141 * 239.99825 * 23 21 19 27 27 C 1.47151 * 118.01888 * 309.51481 * 18 17 14 28 28 C 1.53293 * 108.38563 * 50.58619 * 27 18 17 29 29 O 1.42889 * 109.55843 * 300.80803 * 14 13 12 30 30 H 1.09000 * 109.46793 * 180.02562 * 1 2 3 31 31 H 1.08996 * 109.47152 * 300.00586 * 1 2 3 32 32 H 1.08996 * 109.46824 * 60.00092 * 1 2 3 33 33 H 1.09005 * 109.47396 * 239.99524 * 2 1 3 34 34 H 1.08995 * 109.47690 * 180.02562 * 3 2 1 35 35 H 1.09004 * 109.46780 * 299.99870 * 3 2 1 36 36 H 1.09005 * 109.47234 * 59.99424 * 3 2 1 37 37 H 1.09004 * 117.50216 * 214.97110 * 6 4 2 38 38 H 1.09000 * 117.50141 * 0.02562 * 6 4 2 39 39 H 1.09007 * 109.58813 * 353.47114 * 12 11 9 40 40 H 1.09003 * 109.58788 * 113.89656 * 12 11 9 41 41 H 1.08995 * 109.56183 * 185.61220 * 13 12 11 42 42 H 1.08997 * 109.34044 * 65.58162 * 13 12 11 43 43 H 1.08998 * 109.49337 * 178.83062 * 15 14 13 44 44 H 1.09003 * 109.50986 * 58.76716 * 15 14 13 45 45 H 1.08998 * 109.58395 * 246.10699 * 16 11 9 46 46 H 1.08997 * 109.58943 * 6.38580 * 16 11 9 47 47 H 1.08996 * 109.67905 * 291.85461 * 17 14 13 48 48 H 1.08994 * 109.67880 * 52.40351 * 17 14 13 49 49 H 0.96997 * 119.99899 * 179.97438 * 22 21 19 50 50 H 1.09001 * 109.68472 * 290.86160 * 27 18 17 51 51 H 1.09000 * 109.68006 * 170.30801 * 27 18 17 52 52 H 1.08994 * 109.51228 * 187.73891 * 28 27 18 53 53 H 1.08998 * 109.55500 * 67.61223 * 28 27 18 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 2.0400 -0.7212 1.2493 5 1 1.4319 -0.5966 2.1453 6 6 2.7400 -2.0673 1.0522 7 6 3.5550 -0.8299 1.4334 8 1 4.1884 -0.3879 0.6642 9 6 4.0922 -0.7563 2.8394 10 8 3.3307 -0.6165 3.7729 11 7 5.4189 -0.8460 3.0595 12 6 6.3536 -1.0217 1.9396 13 6 7.2323 -2.2410 2.2110 14 6 7.9066 -2.0885 3.5758 15 6 6.8404 -2.0042 4.6697 16 6 5.9579 -0.7766 4.4247 17 6 8.8075 -3.3009 3.8358 18 7 9.5875 -3.0465 5.0574 19 6 9.6371 -3.9700 6.0674 20 1 9.8258 -3.6511 7.0817 21 6 9.4448 -5.3159 5.7872 22 7 9.5464 -5.7516 4.5494 23 14 9.0415 -6.5088 7.1670 24 1 8.9847 -5.7736 8.4561 25 1 7.7267 -7.1461 6.9018 26 1 10.0930 -7.5548 7.2402 27 6 10.3122 -1.7701 5.1616 28 6 9.3366 -0.6325 4.8391 29 8 8.6991 -0.8996 3.5876 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8899 32 1 -0.3633 0.5138 -0.8900 33 1 1.8934 -0.5139 -0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6767 1.9563 -0.8900 36 1 1.6767 1.9564 0.8900 37 1 2.5923 -2.8284 1.8185 38 1 2.8377 -2.4393 0.0323 39 1 5.7938 -1.1746 1.0169 40 1 6.9819 -0.1359 1.8457 41 1 7.9942 -2.3216 1.4358 42 1 6.6143 -3.1389 2.2089 43 1 7.3237 -1.9165 5.6427 44 1 6.2254 -2.9040 4.6488 45 1 6.5533 0.1295 4.5368 46 1 5.1369 -0.7653 5.1416 47 1 8.1941 -4.1917 3.9708 48 1 9.4828 -3.4440 2.9923 49 1 9.4124 -6.6921 4.3537 50 1 11.1383 -1.7578 4.4507 51 1 10.6968 -1.6479 6.1742 52 1 9.8828 0.3086 4.7759 53 1 8.5834 -0.5643 5.6240 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000949504445.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 19:20:56 Heat of formation + Delta-G solvation = -38.684176 kcal Electronic energy + Delta-G solvation = -31200.690956 eV Core-core repulsion = 27266.507277 eV Total energy + Delta-G solvation = -3934.183679 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.27 seconds Orbital eigenvalues (eV) -40.50822 -39.27996 -37.62664 -36.02866 -34.39189 -33.55118 -32.29274 -31.27553 -30.95971 -28.31942 -27.42684 -26.67361 -24.92631 -23.45541 -23.26861 -23.05382 -22.33474 -20.86400 -20.06899 -19.09987 -18.45044 -17.32449 -16.87939 -16.04361 -15.52105 -15.40468 -15.01686 -14.68110 -14.61012 -14.42894 -14.29753 -13.86592 -13.63260 -13.60306 -13.35900 -13.28649 -12.83733 -12.70371 -12.60927 -12.42789 -12.36518 -11.98546 -11.83744 -11.54114 -11.52556 -11.36971 -11.02356 -10.98175 -10.91400 -10.86117 -10.68075 -10.58544 -10.40220 -10.24521 -10.19524 -10.16948 -9.91458 -9.66764 -9.37462 -9.01507 -8.54235 -8.38395 -6.73376 -5.85461 -3.28245 2.56779 3.07078 3.32636 3.41163 3.42631 3.71342 4.27668 4.33560 4.43945 4.56674 4.59183 4.78512 4.87163 5.00226 5.06616 5.12250 5.17699 5.32857 5.35641 5.36595 5.41512 5.43866 5.50650 5.54638 5.61448 5.63976 5.64866 5.67421 5.76862 5.82680 5.85050 5.87649 5.94235 5.95871 5.98953 6.04505 6.16041 6.20999 6.23057 6.24653 6.38224 6.52202 6.57271 6.70122 6.78489 6.88020 7.08874 7.47914 7.57686 7.70726 7.94662 8.30532 8.32702 9.10824 9.73937 10.31016 11.22284 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.017349 B = 0.002936 C = 0.002731 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1613.507394 B = 9533.928276 C =10249.864199 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.066 4.066 3 C -0.146 4.146 4 C -0.115 4.115 5 H 0.116 0.884 6 C -0.147 4.147 7 C -0.187 4.187 8 H 0.123 0.877 9 C 0.543 3.457 10 O -0.551 6.551 11 N -0.600 5.600 12 C 0.114 3.886 13 C -0.116 4.116 14 C 0.096 3.904 15 C -0.145 4.145 16 C 0.117 3.883 17 C 0.158 3.842 18 N -0.593 5.593 19 C -0.251 4.251 20 H 0.068 0.932 21 C 0.003 3.997 22 N -0.903 5.903 23 Si 0.901 3.099 24 H -0.277 1.277 25 H -0.288 1.288 26 H -0.290 1.290 27 C 0.110 3.890 28 C 0.046 3.954 29 O -0.382 6.382 30 H 0.056 0.944 31 H 0.056 0.944 32 H 0.054 0.946 33 H 0.071 0.929 34 H 0.055 0.945 35 H 0.054 0.946 36 H 0.056 0.944 37 H 0.099 0.901 38 H 0.103 0.897 39 H 0.080 0.920 40 H 0.074 0.926 41 H 0.081 0.919 42 H 0.077 0.923 43 H 0.089 0.911 44 H 0.069 0.931 45 H 0.066 0.934 46 H 0.084 0.916 47 H 0.093 0.907 48 H 0.026 0.974 49 H 0.254 0.746 50 H 0.024 0.976 51 H 0.060 0.940 52 H 0.079 0.921 53 H 0.046 0.954 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.086 11.721 -10.510 19.847 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 -0.201 4.201 2 C -0.085 4.085 3 C -0.204 4.204 4 C -0.133 4.133 5 H 0.134 0.866 6 C -0.185 4.185 7 C -0.208 4.208 8 H 0.141 0.859 9 C 0.331 3.669 10 O -0.429 6.429 11 N -0.332 5.332 12 C -0.009 4.009 13 C -0.154 4.154 14 C 0.055 3.945 15 C -0.183 4.183 16 C -0.005 4.005 17 C 0.032 3.968 18 N -0.317 5.317 19 C -0.380 4.380 20 H 0.086 0.914 21 C -0.196 4.196 22 N -0.547 5.547 23 Si 0.731 3.269 24 H -0.202 1.202 25 H -0.215 1.215 26 H -0.217 1.217 27 C -0.016 4.016 28 C -0.032 4.032 29 O -0.302 6.302 30 H 0.075 0.925 31 H 0.075 0.925 32 H 0.074 0.926 33 H 0.090 0.910 34 H 0.074 0.926 35 H 0.073 0.927 36 H 0.075 0.925 37 H 0.117 0.883 38 H 0.122 0.878 39 H 0.098 0.902 40 H 0.093 0.907 41 H 0.099 0.901 42 H 0.096 0.904 43 H 0.107 0.893 44 H 0.088 0.912 45 H 0.084 0.916 46 H 0.103 0.897 47 H 0.111 0.889 48 H 0.044 0.956 49 H 0.064 0.936 50 H 0.042 0.958 51 H 0.078 0.922 52 H 0.097 0.903 53 H 0.064 0.936 Dipole moment (debyes) X Y Z Total from point charges -12.451 11.739 -10.195 19.919 hybrid contribution 0.188 -0.975 0.901 1.341 sum -12.262 10.764 -9.294 18.778 Atomic orbital electron populations 1.21797 0.94658 1.01905 1.01786 1.20738 0.95944 0.95995 0.95805 1.21822 1.01166 0.95648 1.01720 1.22465 0.92132 0.98547 1.00175 0.86594 1.23078 1.01560 0.90910 1.02923 1.22276 0.95873 1.06409 0.96212 0.85926 1.19625 0.81751 0.75852 0.89638 1.90656 1.56920 1.50599 1.44759 1.48037 1.05561 1.71285 1.08348 1.21628 0.91531 0.99309 0.88449 1.21748 0.98610 0.97863 0.97224 1.22136 0.90742 0.88112 0.93470 1.22306 0.97192 0.97592 1.01257 1.21589 0.97516 0.98781 0.82628 1.21366 0.92796 0.94178 0.88420 1.44064 1.53443 1.15633 1.18532 1.19209 1.44814 0.86458 0.87563 0.91435 1.25019 1.01378 0.96881 0.96322 1.70029 1.52546 1.14251 1.17884 0.86241 0.77839 0.81133 0.81706 1.20222 1.21488 1.21675 1.21583 0.93421 0.87279 0.99357 1.23008 0.95622 0.98097 0.86475 1.87763 1.65247 1.43513 1.33634 0.92490 0.92501 0.92649 0.91047 0.92616 0.92731 0.92464 0.88262 0.87841 0.90163 0.90731 0.90057 0.90400 0.89257 0.91238 0.91564 0.89732 0.88913 0.95602 0.93617 0.95767 0.92172 0.90328 0.93559 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.14 -1.03 9.18 37.16 0.34 -0.68 16 2 C -0.07 -0.52 3.07 -90.62 -0.28 -0.80 16 3 C -0.15 -1.14 9.03 37.16 0.34 -0.81 16 4 C -0.11 -1.16 4.66 -90.62 -0.42 -1.58 16 5 H 0.12 1.39 7.64 -51.93 -0.40 1.00 16 6 C -0.15 -1.45 9.88 -26.73 -0.26 -1.71 16 7 C -0.19 -2.06 4.16 -91.77 -0.38 -2.45 16 8 H 0.12 1.14 6.30 -51.92 -0.33 0.81 16 9 C 0.54 8.12 7.48 -10.99 -0.08 8.04 16 10 O -0.55 -10.09 15.67 5.56 0.09 -10.00 16 11 N -0.60 -8.82 2.98 -173.06 -0.52 -9.33 16 12 C 0.11 1.45 6.04 -3.95 -0.02 1.43 16 13 C -0.12 -1.75 5.09 -26.88 -0.14 -1.89 16 14 C 0.10 1.75 0.68 -90.49 -0.06 1.69 16 15 C -0.15 -2.61 4.32 -26.65 -0.12 -2.72 16 16 C 0.12 1.87 6.20 -3.72 -0.02 1.85 16 17 C 0.16 3.63 4.10 -3.55 -0.01 3.62 16 18 N -0.59 -14.36 2.55 -171.85 -0.44 -14.80 16 19 C -0.25 -6.68 9.65 -15.06 -0.15 -6.83 16 20 H 0.07 1.77 7.88 -52.49 -0.41 1.36 16 21 C 0.00 0.07 4.95 -17.43 -0.09 -0.02 16 22 N -0.90 -25.55 11.14 55.49 0.62 -24.93 16 23 Si 0.90 21.40 29.59 -169.99 -5.03 16.37 16 24 H -0.28 -6.45 7.11 56.52 0.40 -6.04 16 25 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 26 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 27 C 0.11 2.25 6.73 -3.53 -0.02 2.22 16 28 C 0.05 0.79 6.60 37.31 0.25 1.04 16 29 O -0.38 -6.89 9.01 -35.23 -0.32 -7.21 16 30 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 31 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 32 H 0.05 0.34 8.14 -51.93 -0.42 -0.08 16 33 H 0.07 0.51 7.90 -51.93 -0.41 0.10 16 34 H 0.05 0.44 7.29 -51.93 -0.38 0.07 16 35 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 36 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 37 H 0.10 1.09 8.14 -51.93 -0.42 0.67 16 38 H 0.10 0.80 8.05 -51.93 -0.42 0.39 16 39 H 0.08 0.82 5.68 -51.93 -0.30 0.52 16 40 H 0.07 0.96 7.83 -51.93 -0.41 0.56 16 41 H 0.08 1.18 8.14 -51.93 -0.42 0.76 16 42 H 0.08 1.19 8.14 -51.93 -0.42 0.77 16 43 H 0.09 1.75 6.15 -51.93 -0.32 1.43 16 44 H 0.07 1.33 8.14 -51.93 -0.42 0.91 16 45 H 0.07 1.04 7.83 -51.93 -0.41 0.63 16 46 H 0.08 1.43 7.00 -51.93 -0.36 1.06 16 47 H 0.09 2.38 6.13 -51.93 -0.32 2.06 16 48 H 0.03 0.65 8.14 -51.93 -0.42 0.22 16 49 H 0.25 6.96 8.31 -40.82 -0.34 6.62 16 50 H 0.02 0.52 8.14 -51.93 -0.42 0.09 16 51 H 0.06 1.17 7.96 -51.93 -0.41 0.76 16 52 H 0.08 1.14 8.14 -51.93 -0.42 0.72 16 53 H 0.05 0.79 6.29 -51.93 -0.33 0.46 16 LS Contribution 400.03 15.07 6.03 6.03 Total: -1.00 -30.61 400.03 -10.11 -40.72 By element: Atomic # 1 Polarization: 12.16 SS G_CDS: -9.40 Total: 2.75 kcal Atomic # 6 Polarization: 1.54 SS G_CDS: -1.14 Total: 0.41 kcal Atomic # 7 Polarization: -48.73 SS G_CDS: -0.34 Total: -49.06 kcal Atomic # 8 Polarization: -16.98 SS G_CDS: -0.23 Total: -17.21 kcal Atomic # 14 Polarization: 21.40 SS G_CDS: -5.03 Total: 16.37 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -30.61 -10.11 -40.72 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. ZINC000949504445.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 2.031 kcal (2) G-P(sol) polarization free energy of solvation -30.611 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -28.579 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.105 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.716 kcal (6) G-S(sol) free energy of system = (1) + (5) -38.684 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.27 seconds