Wall clock time and date at job start Tue Mar 31 2020 21:08:50 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 N 2 2 C 1.31622 * 1 3 3 Si 1.86801 * 119.99423 * 2 1 4 4 H 1.48504 * 109.47548 * 0.02562 * 3 2 1 5 5 H 1.48500 * 109.47210 * 120.00319 * 3 2 1 6 6 H 1.48504 * 109.47054 * 240.00027 * 3 2 1 7 7 C 1.38803 * 120.00575 * 180.02562 * 2 1 3 8 8 H 1.08003 * 120.00358 * 217.09835 * 7 2 1 9 9 N 1.36936 * 120.00280 * 37.08568 * 7 2 1 10 10 C 1.46501 * 119.99632 * 29.43502 * 9 7 2 11 11 C 1.53006 * 109.47302 * 85.45687 * 10 9 7 12 12 C 1.52996 * 117.49879 * 243.62458 * 11 10 9 13 13 C 1.52999 * 60.00092 * 252.50914 * 12 11 10 14 14 C 1.46498 * 120.00665 * 209.43276 * 9 7 2 15 15 C 1.53046 * 109.45758 * 60.06807 * 14 9 7 16 16 C 1.53186 * 109.30918 * 178.61696 * 15 14 9 17 17 N 1.46923 * 108.77842 * 54.63752 * 16 15 14 18 18 C 1.34785 * 120.63174 * 126.41027 * 17 16 15 19 19 O 1.21274 * 119.99732 * 5.47167 * 18 17 16 20 20 C 1.50698 * 119.99609 * 185.46963 * 18 17 16 21 21 H 1.08991 * 110.02173 * 53.18831 * 20 18 17 22 22 C 1.54269 * 110.03296 * 291.74202 * 20 18 17 23 23 C 1.54898 * 104.19646 * 217.10874 * 22 20 18 24 24 C 1.54888 * 102.74732 * 37.94371 * 23 22 20 25 25 H 1.08997 * 110.48973 * 203.37954 * 24 23 22 26 26 F 1.39899 * 110.48801 * 80.73244 * 24 23 22 27 27 C 1.53883 * 110.02928 * 174.58046 * 20 18 17 28 28 C 1.46926 * 118.73933 * 306.38761 * 17 16 15 29 29 C 1.53043 * 109.45760 * 300.00292 * 14 9 7 30 30 H 0.97006 * 119.99128 * 185.84635 * 1 2 3 31 31 H 1.09001 * 109.47276 * 205.45793 * 10 9 7 32 32 H 1.09000 * 109.47094 * 325.45573 * 10 9 7 33 33 H 1.09000 * 115.54629 * 29.32790 * 11 10 9 34 34 H 1.09000 * 117.50187 * 359.97438 * 12 11 10 35 35 H 1.09000 * 117.50136 * 145.01956 * 12 11 10 36 36 H 1.09000 * 117.50004 * 252.51668 * 13 12 11 37 37 H 1.09000 * 117.50197 * 107.49008 * 13 12 11 38 38 H 1.08998 * 109.46036 * 180.02562 * 14 9 7 39 39 H 1.09001 * 109.49583 * 298.56585 * 15 14 9 40 40 H 1.08996 * 109.49429 * 58.66768 * 15 14 9 41 41 H 1.09003 * 109.59091 * 294.84709 * 16 15 14 42 42 H 1.08999 * 109.70614 * 174.49550 * 16 15 14 43 43 H 1.09000 * 110.48736 * 335.78482 * 22 20 18 44 44 H 1.08997 * 110.48713 * 98.43128 * 22 20 18 45 45 H 1.09001 * 110.75434 * 279.63254 * 23 22 20 46 46 H 1.08999 * 110.75592 * 156.25910 * 23 22 20 47 47 H 1.09003 * 110.03029 * 238.57114 * 27 20 18 48 48 H 1.09001 * 110.03121 * 359.94692 * 27 20 18 49 49 H 1.08999 * 109.58720 * 293.82574 * 28 17 16 50 50 H 1.09001 * 109.70594 * 173.46361 * 28 17 16 51 51 H 1.08993 * 109.49851 * 301.33681 * 29 14 9 52 52 H 1.09002 * 109.49800 * 61.43678 * 29 14 9 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2501 1.6178 0.0000 4 1 1.2850 2.7466 0.0006 5 1 3.1039 1.6966 1.2125 6 1 3.1038 1.6966 -1.2125 7 6 2.0104 -1.2020 -0.0005 8 1 2.9265 -1.2969 0.5636 9 7 1.5336 -2.2677 -0.7161 10 6 0.7439 -2.0411 -1.9291 11 6 1.6835 -1.8603 -3.1230 12 6 1.6712 -0.5050 -3.8328 13 6 1.0479 -1.7280 -4.5085 14 6 1.8131 -3.6345 -0.2688 15 6 1.2321 -3.8414 1.1318 16 6 1.4960 -5.2816 1.5820 17 7 2.9365 -5.5525 1.4803 18 6 3.6232 -6.0237 2.5400 19 8 3.0366 -6.3220 3.5587 20 6 5.1199 -6.1800 2.4589 21 1 5.5763 -5.2425 2.1414 22 6 5.4807 -7.3066 1.4688 23 6 6.7071 -7.9999 2.1127 24 6 6.3628 -7.9703 3.6225 25 1 7.2704 -8.0382 4.2222 26 9 5.4829 -9.0093 3.9444 27 6 5.6807 -6.6021 3.8283 28 6 3.6141 -5.3004 0.2012 29 6 3.3264 -3.8599 -0.2336 30 1 -0.4849 -0.8358 0.0856 31 1 0.0938 -2.8982 -2.1049 32 1 0.1370 -1.1442 -1.8052 33 1 2.6368 -2.3843 -3.0545 34 1 0.9934 0.2578 -3.4494 35 1 2.6166 -0.1369 -4.2313 36 1 1.5834 -2.1647 -5.3515 37 1 -0.0396 -1.7698 -4.5694 38 1 1.3563 -4.3432 -0.9596 39 1 1.7063 -3.1498 1.8282 40 1 0.1579 -3.6579 1.1108 41 1 0.9483 -5.9715 0.9400 42 1 1.1724 -5.4089 2.6151 43 1 4.6528 -8.0089 1.3718 44 1 5.7447 -6.8901 0.4967 45 1 7.6184 -7.4360 1.9132 46 1 6.8011 -9.0262 1.7579 47 1 6.4098 -5.8697 4.1750 48 1 4.8704 -6.6929 4.5517 49 1 3.2390 -5.9916 -0.5535 50 1 4.6887 -5.4381 0.3212 51 1 3.7428 -3.6894 -1.2263 52 1 3.7809 -3.1682 0.4757 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001723649364.mol2 52 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 21:08:50 Heat of formation + Delta-G solvation = -49.540027 kcal Electronic energy + Delta-G solvation = -31128.878895 eV Core-core repulsion = 27043.452687 eV Total energy + Delta-G solvation = -4085.426207 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 1.72 seconds Orbital eigenvalues (eV) -47.69650 -40.37222 -38.04468 -36.94272 -36.47143 -34.73941 -32.22947 -31.02522 -29.95925 -29.22974 -28.56005 -26.20559 -24.79454 -22.90376 -22.64657 -21.75113 -21.27842 -21.04179 -19.83662 -19.56888 -18.72073 -17.73928 -16.90406 -16.57362 -15.97447 -15.68600 -15.24959 -15.13822 -14.72743 -14.59836 -14.07475 -13.84965 -13.72082 -13.57008 -13.54494 -13.28838 -13.18409 -13.01231 -12.24641 -12.11973 -12.00319 -11.88904 -11.73627 -11.54737 -11.46636 -11.13923 -11.00187 -10.92287 -10.86622 -10.81050 -10.75047 -10.70187 -10.59004 -10.16675 -10.05283 -9.98119 -9.73094 -9.59195 -9.40300 -9.02775 -8.43157 -8.24777 -6.88417 -6.12004 -3.23983 2.72907 3.12760 3.47961 3.53862 3.69857 4.01521 4.10753 4.40077 4.44957 4.54404 4.61216 4.77331 4.94438 4.99737 5.05049 5.05794 5.18518 5.21049 5.26825 5.34860 5.39407 5.46124 5.50914 5.52355 5.55240 5.65061 5.67856 5.71165 5.82113 5.85912 5.90729 5.94550 6.02087 6.09515 6.11723 6.16796 6.18291 6.36451 6.43341 6.54395 6.56281 6.63222 6.71034 6.75205 6.83250 7.01008 7.06724 7.32510 7.58161 8.07784 8.30708 8.55641 9.09591 9.83290 10.26993 11.10134 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.015928 B = 0.002944 C = 0.002802 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1757.540399 B = 9507.850435 C = 9989.626592 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.890 5.890 2 C -0.008 4.008 3 Si 1.040 2.960 4 H -0.288 1.288 5 H -0.294 1.294 6 H -0.292 1.292 7 C -0.352 4.352 8 H 0.052 0.948 9 N -0.583 5.583 10 C 0.164 3.836 11 C -0.140 4.140 12 C -0.175 4.175 13 C -0.200 4.200 14 C 0.178 3.822 15 C -0.134 4.134 16 C 0.113 3.887 17 N -0.603 5.603 18 C 0.520 3.480 19 O -0.545 6.545 20 C -0.113 4.113 21 H 0.102 0.898 22 C -0.116 4.116 23 C -0.148 4.148 24 C 0.084 3.916 25 H 0.089 0.911 26 F -0.208 7.208 27 C -0.146 4.146 28 C 0.105 3.895 29 C -0.140 4.140 30 H 0.268 0.732 31 H 0.031 0.969 32 H 0.079 0.921 33 H 0.090 0.910 34 H 0.092 0.908 35 H 0.079 0.921 36 H 0.080 0.920 37 H 0.085 0.915 38 H 0.048 0.952 39 H 0.071 0.929 40 H 0.066 0.934 41 H 0.059 0.941 42 H 0.084 0.916 43 H 0.074 0.926 44 H 0.082 0.918 45 H 0.088 0.912 46 H 0.081 0.919 47 H 0.084 0.916 48 H 0.104 0.896 49 H 0.064 0.936 50 H 0.081 0.919 51 H 0.067 0.933 52 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.495 -13.353 -1.211 17.661 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 N -0.528 5.528 2 C -0.213 4.213 3 Si 0.870 3.130 4 H -0.213 1.213 5 H -0.221 1.221 6 H -0.219 1.219 7 C -0.480 4.480 8 H 0.070 0.930 9 N -0.303 5.303 10 C 0.038 3.962 11 C -0.161 4.161 12 C -0.212 4.212 13 C -0.237 4.237 14 C 0.070 3.930 15 C -0.174 4.174 16 C -0.009 4.009 17 N -0.335 5.335 18 C 0.308 3.692 19 O -0.423 6.423 20 C -0.134 4.134 21 H 0.120 0.880 22 C -0.153 4.153 23 C -0.185 4.185 24 C 0.048 3.952 25 H 0.107 0.893 26 F -0.189 7.189 27 C -0.184 4.184 28 C -0.019 4.019 29 C -0.180 4.180 30 H 0.079 0.921 31 H 0.049 0.951 32 H 0.097 0.903 33 H 0.108 0.892 34 H 0.110 0.890 35 H 0.098 0.902 36 H 0.098 0.902 37 H 0.103 0.897 38 H 0.066 0.934 39 H 0.089 0.911 40 H 0.085 0.915 41 H 0.077 0.923 42 H 0.102 0.898 43 H 0.093 0.907 44 H 0.101 0.899 45 H 0.107 0.893 46 H 0.100 0.900 47 H 0.103 0.897 48 H 0.122 0.878 49 H 0.082 0.918 50 H 0.099 0.901 51 H 0.086 0.914 52 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges 10.947 -11.850 -0.717 16.148 hybrid contribution 0.327 -1.451 -0.094 1.490 sum 11.274 -13.301 -0.810 17.455 Atomic orbital electron populations 1.70806 1.07254 1.30007 1.44709 1.25504 0.95756 1.01213 0.98801 0.83901 0.75612 0.77143 0.76371 1.21338 1.22147 1.21899 1.19564 1.05492 0.91822 1.31158 0.93036 1.43971 1.62722 1.00274 1.23315 1.20600 0.91892 1.00327 0.83394 1.23153 1.01267 0.99092 0.92552 1.22836 1.01724 0.92128 1.04474 1.22889 0.99745 1.04365 0.96746 1.20306 0.92186 0.87643 0.92822 1.22304 1.01540 0.93786 0.99766 1.21704 0.79500 0.97311 1.02427 1.48064 1.09838 1.63955 1.11648 1.20410 0.89510 0.76503 0.82818 1.90644 1.70591 1.50389 1.30631 1.21912 0.93182 1.01036 0.97300 0.87956 1.22474 0.98217 0.96593 0.98040 1.23119 0.98987 1.02250 0.94190 1.22334 0.91147 0.84968 0.96731 0.89344 1.92830 1.71760 1.60379 1.93932 1.22810 1.02095 0.95737 0.97734 1.21965 0.97219 0.98096 0.84588 1.22351 1.00206 0.93868 1.01550 0.92126 0.95071 0.90315 0.89178 0.88959 0.90233 0.90194 0.89671 0.93408 0.91073 0.91494 0.92292 0.89781 0.90699 0.89940 0.89325 0.90050 0.89688 0.87776 0.91796 0.90097 0.91416 0.91225 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 N -0.89 -24.99 12.14 55.49 0.67 -24.31 16 2 C -0.01 -0.22 4.63 -17.43 -0.08 -0.30 16 3 Si 1.04 24.38 30.04 -169.99 -5.11 19.28 16 4 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 5 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 6 H -0.29 -6.66 7.11 56.52 0.40 -6.25 16 7 C -0.35 -8.90 8.09 -15.06 -0.12 -9.02 16 8 H 0.05 1.36 6.96 -52.48 -0.37 1.00 16 9 N -0.58 -12.88 2.28 -165.61 -0.38 -13.26 16 10 C 0.16 3.51 5.35 -4.04 -0.02 3.49 16 11 C -0.14 -2.65 5.99 -90.62 -0.54 -3.20 16 12 C -0.17 -3.22 10.18 -26.73 -0.27 -3.49 16 13 C -0.20 -3.23 10.25 -26.73 -0.27 -3.50 16 14 C 0.18 3.27 2.59 -67.89 -0.18 3.10 16 15 C -0.13 -2.48 5.31 -26.61 -0.14 -2.62 16 16 C 0.11 1.80 6.42 -3.72 -0.02 1.78 16 17 N -0.60 -8.87 2.97 -172.77 -0.51 -9.39 16 18 C 0.52 7.92 6.89 -10.98 -0.08 7.84 16 19 O -0.54 -10.23 14.66 5.56 0.08 -10.15 16 20 C -0.11 -1.26 2.39 -90.65 -0.22 -1.48 16 21 H 0.10 1.02 7.61 -51.93 -0.40 0.63 16 22 C -0.12 -1.04 5.29 -25.07 -0.13 -1.18 16 23 C -0.15 -1.11 6.70 -24.73 -0.17 -1.27 16 24 C 0.08 0.79 4.66 -25.07 -0.12 0.67 16 25 H 0.09 0.61 8.14 -51.93 -0.42 0.19 16 26 F -0.21 -2.69 17.17 2.25 0.04 -2.66 16 27 C -0.15 -1.56 6.20 -25.61 -0.16 -1.72 16 28 C 0.10 1.31 5.84 -3.71 -0.02 1.29 16 29 C -0.14 -2.22 5.30 -26.61 -0.14 -2.37 16 30 H 0.27 7.62 7.77 -40.82 -0.32 7.30 16 31 H 0.03 0.62 7.83 -51.93 -0.41 0.22 16 32 H 0.08 1.94 5.18 -51.93 -0.27 1.67 16 33 H 0.09 1.71 8.14 -51.93 -0.42 1.29 16 34 H 0.09 1.86 8.03 -51.93 -0.42 1.44 16 35 H 0.08 1.36 8.14 -51.93 -0.42 0.94 16 36 H 0.08 1.13 8.14 -51.93 -0.42 0.71 16 37 H 0.08 1.34 8.14 -51.93 -0.42 0.92 16 38 H 0.05 0.84 7.73 -51.93 -0.40 0.44 16 39 H 0.07 1.53 7.71 -51.93 -0.40 1.13 16 40 H 0.07 1.31 8.14 -51.93 -0.42 0.89 16 41 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 42 H 0.08 1.44 7.04 -51.93 -0.37 1.07 16 43 H 0.07 0.80 7.85 -51.93 -0.41 0.39 16 44 H 0.08 0.60 6.74 -51.93 -0.35 0.25 16 45 H 0.09 0.49 8.14 -51.93 -0.42 0.06 16 46 H 0.08 0.57 8.14 -51.93 -0.42 0.15 16 47 H 0.08 0.72 8.14 -51.93 -0.42 0.29 16 48 H 0.10 1.43 6.38 -51.93 -0.33 1.10 16 49 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 50 H 0.08 0.82 4.26 -51.93 -0.22 0.60 16 51 H 0.07 1.06 8.14 -51.93 -0.42 0.64 16 52 H 0.07 1.27 7.02 -51.93 -0.36 0.91 16 LS Contribution 398.49 15.07 6.01 6.01 Total: -1.00 -29.84 398.49 -10.76 -40.60 By element: Atomic # 1 Polarization: 14.72 SS G_CDS: -8.88 Total: 5.84 kcal Atomic # 6 Polarization: -9.28 SS G_CDS: -2.68 Total: -11.97 kcal Atomic # 7 Polarization: -46.74 SS G_CDS: -0.22 Total: -46.96 kcal Atomic # 8 Polarization: -10.23 SS G_CDS: 0.08 Total: -10.15 kcal Atomic # 9 Polarization: -2.69 SS G_CDS: 0.04 Total: -2.66 kcal Atomic # 14 Polarization: 24.38 SS G_CDS: -5.11 Total: 19.28 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -29.84 -10.76 -40.60 kcal The number of atoms in the molecule is 52 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. ZINC001723649364.mol2 52 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 -8.936 kcal (2) G-P(sol) polarization free energy of solvation -29.842 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -38.778 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.762 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.604 kcal (6) G-S(sol) free energy of system = (1) + (5) -49.540 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.72 seconds