Wall clock time and date at job start Tue Mar 31 2020 21:18:29 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 1.30998 * 1 3 3 C 1.50696 * 120.00223 * 2 1 4 4 C 1.52996 * 109.47417 * 122.20104 * 3 2 1 5 5 C 1.50705 * 109.54518 * 57.79702 * 4 3 2 6 6 O 1.21280 * 120.00203 * 247.97470 * 5 4 3 7 7 N 1.34776 * 119.99860 * 67.97128 * 5 4 3 8 8 C 1.46500 * 120.00096 * 175.98944 * 7 5 4 9 9 H 1.09002 * 109.49598 * 35.00298 * 8 7 5 10 10 C 1.53033 * 109.49598 * 274.93826 * 8 7 5 11 11 C 1.53046 * 109.53952 * 178.68448 * 10 8 7 12 12 C 1.53189 * 109.31135 * 61.36252 * 11 10 8 13 13 N 1.46929 * 108.77478 * 305.36646 * 12 11 10 14 14 C 1.36936 * 120.62959 * 233.60496 * 13 12 11 15 15 H 1.08009 * 119.99324 * 147.08872 * 14 13 12 16 16 C 1.38803 * 120.00546 * 327.09156 * 14 13 12 17 17 N 1.31618 * 120.00257 * 348.18699 * 16 14 13 18 18 Si 1.86804 * 120.00397 * 168.18667 * 16 14 13 19 19 H 1.48500 * 109.46829 * 359.97438 * 18 16 14 20 20 H 1.48495 * 109.47395 * 119.99939 * 18 16 14 21 21 H 1.48501 * 109.46989 * 240.00476 * 18 16 14 22 22 C 1.46936 * 118.76476 * 53.59208 * 13 12 11 23 23 H 1.08998 * 109.55976 * 66.20906 * 22 13 12 24 24 C 1.52995 * 109.61479 * 186.63959 * 22 13 12 25 25 C 1.53182 * 109.54435 * 297.62415 * 4 3 2 26 26 C 1.53094 * 109.15994 * 183.23753 * 25 4 3 27 27 O 1.42905 * 109.48873 * 57.47389 * 26 25 4 28 28 C 1.42902 * 114.09759 * 298.89163 * 27 26 25 29 29 C 1.53097 * 109.41583 * 61.15226 * 28 27 26 30 30 H 1.08002 * 119.99635 * 0.02562 * 1 2 3 31 31 H 1.08001 * 120.00275 * 179.97438 * 1 2 3 32 32 H 1.08003 * 120.00118 * 180.02562 * 2 1 3 33 33 H 1.09003 * 109.47331 * 2.19689 * 3 2 1 34 34 H 1.09004 * 109.47364 * 242.19976 * 3 2 1 35 35 H 0.97005 * 119.99574 * 355.99230 * 7 5 4 36 36 H 1.09005 * 109.45897 * 298.70218 * 10 8 7 37 37 H 1.08997 * 109.46407 * 58.66196 * 10 8 7 38 38 H 1.09000 * 109.49942 * 181.31425 * 11 10 8 39 39 H 1.09002 * 109.49391 * 301.41316 * 11 10 8 40 40 H 1.08996 * 109.59031 * 65.15469 * 12 11 10 41 41 H 1.09003 * 109.58662 * 185.57996 * 12 11 10 42 42 H 0.96996 * 120.00912 * 179.97438 * 17 16 14 43 43 H 1.09004 * 109.46856 * 179.30304 * 24 22 13 44 44 H 1.09001 * 109.47246 * 299.29861 * 24 22 13 45 45 H 1.08995 * 109.47184 * 59.30087 * 24 22 13 46 46 H 1.09004 * 109.52149 * 303.05961 * 25 4 3 47 47 H 1.09005 * 109.52069 * 63.24231 * 25 4 3 48 48 H 1.08994 * 109.41156 * 297.49224 * 26 25 4 49 49 H 1.08998 * 109.49335 * 177.50219 * 26 25 4 50 50 H 1.09000 * 109.47878 * 301.17084 * 28 27 26 51 51 H 1.09004 * 109.48249 * 181.14102 * 28 27 26 52 52 H 1.09002 * 109.51744 * 182.48749 * 29 28 27 53 53 H 1.08996 * 109.51773 * 62.30631 * 29 28 27 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 1.3100 0.0000 0.0000 3 6 2.0635 1.3050 0.0000 4 6 2.9842 1.3624 1.2206 5 6 3.9279 0.1876 1.1959 6 8 3.8297 -0.6867 2.0306 7 7 4.8809 0.1087 0.2462 8 6 5.8535 -0.9866 0.2737 9 1 5.3711 -1.8923 0.6412 10 6 7.0149 -0.6152 1.1984 11 6 8.0154 -1.7720 1.2535 12 6 8.5761 -2.0242 -0.1496 13 7 7.4554 -2.2392 -1.0751 14 6 7.4052 -3.3589 -1.8618 15 1 6.4517 -3.7989 -2.1145 16 6 8.5794 -3.9284 -2.3344 17 7 9.7170 -3.2750 -2.2281 18 14 8.5454 -5.6223 -3.1213 19 1 7.1540 -6.1410 -3.1193 20 1 9.0373 -5.5287 -4.5193 21 1 9.4178 -6.5439 -2.3501 22 6 6.3890 -1.2304 -1.1407 23 1 6.7903 -0.3009 -1.5447 24 6 5.2576 -1.7366 -2.0374 25 6 2.1428 1.3168 2.4998 26 6 3.0656 1.4561 3.7134 27 8 3.8061 2.6741 3.6119 28 6 4.6475 2.7510 2.4594 29 6 3.7881 2.6660 1.1953 30 1 -0.5399 0.9354 -0.0004 31 1 -0.5400 -0.9353 -0.0004 32 1 1.8500 -0.9353 -0.0004 33 1 1.3559 2.1332 0.0394 34 1 2.6603 1.3801 -0.9091 35 1 4.9228 0.7771 -0.4556 36 1 7.5119 0.2768 0.8169 37 1 6.6328 -0.4175 2.1999 38 1 8.8305 -1.5162 1.9305 39 1 7.5130 -2.6707 1.6115 40 1 9.1558 -1.1594 -0.4724 41 1 9.2129 -2.9087 -0.1351 42 1 10.5377 -3.6730 -2.5580 43 1 4.4625 -0.9919 -2.0745 44 1 5.6406 -1.9094 -3.0432 45 1 4.8634 -2.6691 -1.6336 46 1 1.4252 2.1374 2.4932 47 1 1.6107 0.3669 2.5521 48 1 3.7553 0.6127 3.7427 49 1 2.4681 1.4689 4.6250 50 1 5.3580 1.9245 2.4722 51 1 5.1896 3.6967 2.4676 52 1 4.4317 2.6801 0.3157 53 1 3.1050 3.5147 1.1616 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 ZINC001486186404.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 21:18:29 Heat of formation + Delta-G solvation = -56.748006 kcal Electronic energy + Delta-G solvation = -31993.897285 eV Core-core repulsion = 28058.930299 eV Total energy + Delta-G solvation = -3934.966985 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.29 seconds Orbital eigenvalues (eV) -41.07810 -38.67603 -37.45606 -35.98903 -34.39854 -33.05992 -32.52733 -31.69944 -31.05023 -29.24493 -27.90212 -26.26265 -25.05214 -23.92353 -23.78540 -22.72921 -21.27783 -20.72643 -19.94924 -19.73479 -18.83776 -16.83736 -16.53226 -16.16241 -16.10090 -15.74529 -15.36624 -15.03342 -14.89827 -14.60506 -14.31420 -13.88829 -13.79736 -13.61750 -13.29476 -13.18237 -12.96028 -12.71407 -12.56692 -12.43470 -12.36222 -11.91115 -11.70623 -11.56808 -11.47875 -11.35800 -11.13208 -10.94398 -10.79498 -10.68439 -10.58976 -10.54130 -10.32625 -10.14278 -10.04498 -9.87729 -9.72738 -9.54657 -9.41711 -9.22313 -8.67054 -8.49072 -6.64606 -5.82430 -3.31238 2.12809 2.78055 3.31489 3.34352 3.42888 3.44757 3.79427 4.30100 4.37253 4.47419 4.57255 4.80880 4.88393 4.90820 5.06892 5.13835 5.27758 5.29179 5.36405 5.38602 5.44342 5.47080 5.49502 5.56861 5.59398 5.64435 5.71564 5.75690 5.79939 5.85507 5.93150 5.95226 6.01174 6.08923 6.18890 6.31212 6.38112 6.49676 6.49969 6.60150 6.61255 6.70061 6.72382 6.82583 6.97401 7.05310 7.10358 7.36801 7.63776 7.73285 7.79409 8.39722 8.45865 9.18076 9.79198 10.37443 11.26100 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016600 B = 0.003454 C = 0.003073 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1686.357624 B = 8105.743878 C = 9109.967305 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.193 4.193 2 C -0.148 4.148 3 C -0.079 4.079 4 C -0.075 4.075 5 C 0.524 3.476 6 O -0.538 6.538 7 N -0.717 5.717 8 C 0.130 3.870 9 H 0.086 0.914 10 C -0.115 4.115 11 C -0.140 4.140 12 C 0.172 3.828 13 N -0.581 5.581 14 C -0.253 4.253 15 H 0.068 0.932 16 C 0.008 3.992 17 N -0.902 5.902 18 Si 0.901 3.099 19 H -0.277 1.277 20 H -0.290 1.290 21 H -0.289 1.289 22 C 0.168 3.832 23 H 0.026 0.974 24 C -0.135 4.135 25 C -0.125 4.125 26 C 0.051 3.949 27 O -0.385 6.385 28 C 0.058 3.942 29 C -0.144 4.144 30 H 0.095 0.905 31 H 0.096 0.904 32 H 0.110 0.890 33 H 0.078 0.922 34 H 0.079 0.921 35 H 0.394 0.606 36 H 0.053 0.947 37 H 0.046 0.954 38 H 0.051 0.949 39 H 0.055 0.945 40 H 0.019 0.981 41 H 0.085 0.915 42 H 0.253 0.747 43 H 0.037 0.963 44 H 0.063 0.937 45 H 0.053 0.947 46 H 0.073 0.927 47 H 0.084 0.916 48 H 0.070 0.930 49 H 0.091 0.909 50 H 0.053 0.947 51 H 0.096 0.904 52 H 0.079 0.921 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.010 13.037 6.133 20.096 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 -0.230 4.230 2 C -0.166 4.166 3 C -0.117 4.117 4 C -0.079 4.079 5 C 0.309 3.691 6 O -0.415 6.415 7 N -0.366 5.366 8 C 0.025 3.975 9 H 0.104 0.896 10 C -0.154 4.154 11 C -0.180 4.180 12 C 0.046 3.954 13 N -0.305 5.305 14 C -0.383 4.383 15 H 0.086 0.914 16 C -0.191 4.191 17 N -0.545 5.545 18 Si 0.731 3.269 19 H -0.202 1.202 20 H -0.217 1.217 21 H -0.215 1.215 22 C 0.061 3.939 23 H 0.044 0.956 24 C -0.192 4.192 25 C -0.163 4.163 26 C -0.025 4.025 27 O -0.303 6.303 28 C -0.019 4.019 29 C -0.182 4.182 30 H 0.113 0.887 31 H 0.115 0.885 32 H 0.128 0.872 33 H 0.096 0.904 34 H 0.097 0.903 35 H 0.228 0.772 36 H 0.072 0.928 37 H 0.065 0.935 38 H 0.070 0.930 39 H 0.074 0.926 40 H 0.037 0.963 41 H 0.103 0.897 42 H 0.063 0.937 43 H 0.056 0.944 44 H 0.082 0.918 45 H 0.072 0.928 46 H 0.091 0.909 47 H 0.103 0.897 48 H 0.089 0.911 49 H 0.109 0.891 50 H 0.071 0.929 51 H 0.114 0.886 52 H 0.097 0.903 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -13.900 12.471 6.794 19.873 hybrid contribution 0.167 -0.786 -1.038 1.312 sum -13.733 11.686 5.757 18.929 Atomic orbital electron populations 1.23791 0.95739 1.01697 1.01753 1.22925 0.96195 0.98375 0.99130 1.20805 0.98003 0.96387 0.96486 1.20909 0.95394 0.94068 0.97514 1.20263 0.80709 0.86861 0.81226 1.90664 1.71779 1.40310 1.38780 1.46170 1.31315 1.29988 1.29173 1.21783 0.87898 0.88991 0.98853 0.89635 1.21751 0.96394 0.98934 0.98306 1.22189 0.97647 0.97291 1.00902 1.20797 0.89453 1.00653 0.84449 1.43998 1.21760 1.20567 1.44149 1.19162 0.92687 1.01760 1.24667 0.91419 1.25172 0.96412 0.98970 0.98559 1.70000 0.98421 1.36586 1.49538 0.86244 0.77651 0.84255 0.78753 1.20197 1.21661 1.21541 1.20560 0.90088 0.92913 0.90384 0.95629 1.21795 0.96642 1.00022 1.00772 1.22009 0.97933 1.03332 0.93052 1.22765 0.94644 0.87422 0.97695 1.87893 1.59397 1.39126 1.43932 1.22577 0.92136 1.02474 0.84716 1.22293 0.99688 0.96648 0.99596 0.88705 0.88523 0.87170 0.90357 0.90289 0.77229 0.92800 0.93487 0.93047 0.92572 0.96256 0.89693 0.93665 0.94407 0.91803 0.92758 0.90883 0.89749 0.91135 0.89133 0.92919 0.88632 0.90283 0.89911 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 -0.19 -1.76 14.32 29.02 0.42 -1.35 16 2 C -0.15 -1.56 7.86 -36.03 -0.28 -1.84 16 3 C -0.08 -0.71 4.73 -27.89 -0.13 -0.84 16 4 C -0.08 -0.78 0.43 -155.48 -0.07 -0.85 16 5 C 0.52 7.17 3.91 -10.98 -0.04 7.13 16 6 O -0.54 -9.36 13.83 5.56 0.08 -9.28 16 7 N -0.72 -9.70 4.38 -53.69 -0.24 -9.94 16 8 C 0.13 2.25 2.03 -67.82 -0.14 2.12 16 9 H 0.09 1.74 7.52 -51.93 -0.39 1.35 16 10 C -0.12 -2.00 5.46 -26.69 -0.15 -2.14 16 11 C -0.14 -2.72 6.08 -26.61 -0.16 -2.88 16 12 C 0.17 3.99 5.25 -3.71 -0.02 3.97 16 13 N -0.58 -13.86 2.97 -164.77 -0.49 -14.35 16 14 C -0.25 -6.63 8.49 -15.06 -0.13 -6.76 16 15 H 0.07 1.76 6.32 -52.48 -0.33 1.42 16 16 C 0.01 0.21 5.01 -17.43 -0.09 0.13 16 17 N -0.90 -25.45 11.24 55.49 0.62 -24.82 16 18 Si 0.90 21.30 29.57 -169.99 -5.03 16.27 16 19 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 20 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 21 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 22 C 0.17 3.28 3.03 -67.60 -0.21 3.07 16 23 H 0.03 0.51 8.14 -51.93 -0.42 0.09 16 24 C -0.13 -2.44 7.87 37.15 0.29 -2.14 16 25 C -0.13 -1.34 4.28 -26.59 -0.11 -1.46 16 26 C 0.05 0.61 6.56 37.21 0.24 0.86 16 27 O -0.38 -4.79 10.77 -35.23 -0.38 -5.17 16 28 C 0.06 0.62 6.62 37.21 0.25 0.86 16 29 C -0.14 -1.28 4.80 -26.59 -0.13 -1.41 16 30 H 0.09 0.73 7.84 -52.49 -0.41 0.32 16 31 H 0.10 0.85 8.06 -52.49 -0.42 0.42 16 32 H 0.11 1.41 7.62 -52.48 -0.40 1.01 16 33 H 0.08 0.58 7.79 -51.93 -0.40 0.18 16 34 H 0.08 0.65 8.09 -51.93 -0.42 0.23 16 35 H 0.39 4.45 7.59 -40.82 -0.31 4.14 16 36 H 0.05 0.90 8.14 -51.93 -0.42 0.47 16 37 H 0.05 0.81 8.14 -51.93 -0.42 0.39 16 38 H 0.05 0.90 8.14 -51.93 -0.42 0.48 16 39 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 40 H 0.02 0.47 8.14 -51.93 -0.42 0.05 16 41 H 0.08 2.22 6.27 -51.93 -0.33 1.89 16 42 H 0.25 6.94 8.31 -40.82 -0.34 6.60 16 43 H 0.04 0.56 7.79 -51.93 -0.40 0.15 16 44 H 0.06 1.24 7.69 -51.93 -0.40 0.84 16 45 H 0.05 1.04 7.38 -51.93 -0.38 0.66 16 46 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 47 H 0.08 0.99 7.19 -51.93 -0.37 0.62 16 48 H 0.07 1.01 6.12 -51.93 -0.32 0.70 16 49 H 0.09 0.94 8.14 -51.93 -0.42 0.51 16 50 H 0.05 0.65 7.38 -51.93 -0.38 0.27 16 51 H 0.10 0.84 8.14 -51.93 -0.42 0.42 16 52 H 0.08 0.60 7.16 -51.93 -0.37 0.23 16 53 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 LS Contribution 398.32 15.07 6.00 6.00 Total: -1.00 -29.91 398.32 -9.29 -39.21 By element: Atomic # 1 Polarization: 15.03 SS G_CDS: -9.41 Total: 5.62 kcal Atomic # 6 Polarization: -3.09 SS G_CDS: -0.45 Total: -3.55 kcal Atomic # 7 Polarization: -49.00 SS G_CDS: -0.10 Total: -49.11 kcal Atomic # 8 Polarization: -14.15 SS G_CDS: -0.30 Total: -14.45 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -5.03 Total: 16.27 kcal Total LS contribution 6.00 Total: 6.00 kcal Total: -29.91 -9.29 -39.21 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. ZINC001486186404.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 -17.541 kcal (2) G-P(sol) polarization free energy of solvation -29.915 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -47.456 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.292 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.207 kcal (6) G-S(sol) free energy of system = (1) + (5) -56.748 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.29 seconds