Wall clock time and date at job start Sat Apr 11 2020 06:11:50 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 C 2 2 O 1.42904 * 1 3 3 C 1.42898 * 113.99982 * 2 1 4 4 C 1.53002 * 109.47440 * 180.02562 * 3 2 1 5 5 C 1.53006 * 109.45259 * 299.99773 * 4 3 2 6 6 N 1.46503 * 109.46991 * 60.00271 * 5 4 3 7 7 C 1.34774 * 119.99418 * 179.97438 * 6 5 4 8 8 O 1.21279 * 120.00842 * 359.97438 * 7 6 5 9 9 C 1.50708 * 119.99845 * 179.97438 * 7 6 5 10 10 C 1.53003 * 109.47241 * 180.02562 * 9 7 6 11 11 H 1.08997 * 110.35102 * 55.68968 * 10 9 7 12 12 C 1.54944 * 110.30772 * 177.83709 * 10 9 7 13 13 C 1.55305 * 100.94009 * 155.36007 * 12 10 9 14 14 C 1.54381 * 102.25489 * 325.86510 * 13 12 10 15 15 O 1.43242 * 107.58792 * 21.35535 * 14 13 12 16 16 C 1.53040 * 109.45910 * 59.96739 * 4 3 2 17 17 C 1.53173 * 109.32328 * 181.38940 * 16 4 3 18 18 N 1.46921 * 108.76760 * 305.35502 * 17 16 4 19 19 C 1.36929 * 120.63099 * 233.62730 * 18 17 16 20 20 H 1.08010 * 120.00096 * 151.81410 * 19 18 17 21 21 C 1.38814 * 120.00227 * 331.81828 * 19 18 17 22 22 N 1.31613 * 119.99851 * 343.07941 * 21 19 18 23 23 Si 1.86798 * 120.00011 * 163.07687 * 21 19 18 24 24 H 1.48506 * 109.47144 * 359.97438 * 23 21 19 25 25 H 1.48495 * 109.47341 * 119.99919 * 23 21 19 26 26 H 1.48501 * 109.47112 * 239.99956 * 23 21 19 27 27 C 1.46925 * 118.73872 * 53.61232 * 18 17 16 28 28 C 1.53033 * 109.46259 * 180.02562 * 4 3 2 29 29 H 1.08996 * 109.47284 * 60.00344 * 1 2 3 30 30 H 1.09005 * 109.46833 * 180.02562 * 1 2 3 31 31 H 1.08998 * 109.46835 * 300.00057 * 1 2 3 32 32 H 1.08996 * 109.47433 * 59.99650 * 3 2 1 33 33 H 1.09008 * 109.46906 * 299.99651 * 3 2 1 34 34 H 1.08996 * 109.47352 * 299.99510 * 5 4 3 35 35 H 1.09000 * 109.46676 * 179.97438 * 5 4 3 36 36 H 0.96997 * 120.00336 * 359.97438 * 6 5 4 37 37 H 1.09002 * 109.46720 * 60.00220 * 9 7 6 38 38 H 1.08991 * 109.47178 * 300.00477 * 9 7 6 39 39 H 1.08999 * 111.12598 * 37.43849 * 12 10 9 40 40 H 1.08995 * 111.15908 * 273.29295 * 12 10 9 41 41 H 1.09005 * 110.84737 * 207.67342 * 13 12 10 42 42 H 1.09003 * 110.84801 * 84.05909 * 13 12 10 43 43 H 1.08994 * 109.83046 * 261.84731 * 14 13 12 44 44 H 1.08991 * 109.83168 * 140.86764 * 14 13 12 45 45 H 1.08997 * 109.50216 * 301.32236 * 16 4 3 46 46 H 1.09002 * 109.50026 * 61.42930 * 16 4 3 47 47 H 1.09001 * 109.58537 * 185.57174 * 17 16 4 48 48 H 1.09004 * 109.70690 * 65.21618 * 17 16 4 49 49 H 0.97000 * 120.00224 * 180.02562 * 22 21 19 50 50 H 1.08998 * 109.58935 * 186.59571 * 27 18 17 51 51 H 1.09006 * 109.58894 * 66.17686 * 27 18 17 52 52 H 1.08993 * 109.50148 * 298.57489 * 28 4 3 53 53 H 1.09002 * 109.49684 * 58.67627 * 28 4 3 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3054 0.0000 4 6 3.5355 1.1847 -0.0006 5 6 3.9871 0.4252 1.2485 6 7 3.3911 -0.9131 1.2483 7 6 3.6507 -1.7663 2.2588 8 8 4.3779 -1.4265 3.1679 9 6 3.0372 -3.1429 2.2590 10 6 3.4888 -3.9024 3.5081 11 1 3.2420 -3.3360 4.4061 12 6 2.8257 -5.3019 3.5556 13 6 3.8448 -6.0814 4.4306 14 6 5.1881 -5.4436 4.0159 15 8 4.9013 -4.1582 3.4524 16 6 3.9862 0.4248 -1.2502 17 6 5.5106 0.2754 -1.2303 18 7 6.1141 1.6069 -1.0836 19 6 7.0591 2.0463 -1.9718 20 1 7.1702 3.1034 -2.1633 21 6 7.8743 1.1330 -2.6263 22 7 7.9829 -0.0969 -2.1705 23 14 8.8170 1.6496 -4.1539 24 1 8.5249 3.0736 -4.4579 25 1 10.2734 1.4823 -3.9171 26 1 8.4017 0.8037 -5.3016 27 6 5.6841 2.4582 0.0340 28 6 4.1577 2.5829 0.0000 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5138 0.8900 32 1 1.6886 1.8464 0.8899 33 1 1.6886 1.8463 -0.8901 34 1 3.6657 0.9661 2.1386 35 1 5.0736 0.3387 1.2480 36 1 2.8097 -1.1851 0.5211 37 1 3.3579 -3.6837 1.3687 38 1 1.9507 -3.0564 2.2599 39 1 2.7515 -5.7356 2.5584 40 1 1.8482 -5.2580 4.0360 41 1 3.8295 -7.1445 4.1900 42 1 3.6495 -5.9198 5.4908 43 1 5.6818 -6.0708 3.2737 44 1 5.8288 -5.3293 4.8903 45 1 3.5245 -0.5625 -1.2620 46 1 3.6865 0.9779 -2.1404 47 1 5.8456 -0.1768 -2.1637 48 1 5.8072 -0.3547 -0.3918 49 1 8.5528 -0.7350 -2.6276 50 1 6.1338 3.4461 -0.0650 51 1 5.9929 2.0069 0.9770 52 1 3.8563 3.1156 -0.9018 53 1 3.8178 3.1319 0.8782 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 ZINC001162131592.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:50 Heat of formation + Delta-G solvation = -108.528832 kcal Electronic energy + Delta-G solvation = -32040.051318 eV Core-core repulsion = 27912.382896 eV Total energy + Delta-G solvation = -4127.668422 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -40.05510 -39.40571 -38.14425 -37.06553 -34.38385 -32.93360 -32.35125 -31.68959 -30.81219 -29.89219 -27.63935 -27.30598 -25.97164 -25.03729 -23.80996 -22.25962 -21.90542 -21.39775 -20.82417 -19.78028 -18.31756 -17.16576 -16.81675 -16.37693 -16.08810 -15.81561 -15.65880 -15.49088 -15.11315 -14.97028 -14.63417 -14.29688 -13.86648 -13.65203 -13.49743 -13.37009 -13.17304 -12.91827 -12.78114 -12.56807 -12.25768 -12.02863 -11.86279 -11.82574 -11.53526 -11.39849 -11.31650 -11.21376 -11.14806 -10.96731 -10.85453 -10.69259 -10.48278 -10.18426 -10.12364 -9.84580 -9.71008 -9.47015 -9.42898 -9.34099 -9.29279 -8.44595 -8.34013 -6.58683 -5.71907 -3.14715 3.15358 3.40581 3.48237 3.48923 3.50531 3.79463 3.93131 4.32925 4.54477 4.62909 4.77650 5.01458 5.04668 5.05431 5.08415 5.13040 5.25437 5.33131 5.33660 5.41143 5.46175 5.47909 5.49961 5.54109 5.56433 5.61066 5.62610 5.68131 5.74563 5.76482 5.78217 5.88395 6.07047 6.09466 6.13234 6.30308 6.45700 6.46044 6.66353 6.69503 6.77499 6.88479 6.98591 7.09509 7.13379 7.14797 7.45018 7.76578 7.85880 8.14639 8.51473 8.80777 9.27795 9.91329 10.48397 11.36182 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010201 B = 0.003450 C = 0.002815 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2744.263802 B = 8113.542634 C = 9943.842506 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.390 6.390 3 C 0.073 3.927 4 C -0.059 4.059 5 C 0.133 3.867 6 N -0.712 5.712 7 C 0.508 3.492 8 O -0.541 6.541 9 C -0.140 4.140 10 C 0.099 3.901 11 H 0.076 0.924 12 C -0.154 4.154 13 C -0.155 4.155 14 C 0.047 3.953 15 O -0.360 6.360 16 C -0.124 4.124 17 C 0.170 3.830 18 N -0.591 5.591 19 C -0.252 4.252 20 H 0.065 0.935 21 C 0.002 3.998 22 N -0.899 5.899 23 Si 0.900 3.100 24 H -0.278 1.278 25 H -0.291 1.291 26 H -0.290 1.290 27 C 0.143 3.857 28 C -0.119 4.119 29 H 0.039 0.961 30 H 0.082 0.918 31 H 0.037 0.963 32 H 0.045 0.955 33 H 0.050 0.950 34 H 0.052 0.948 35 H 0.082 0.918 36 H 0.407 0.593 37 H 0.098 0.902 38 H 0.100 0.900 39 H 0.080 0.920 40 H 0.082 0.918 41 H 0.080 0.920 42 H 0.075 0.925 43 H 0.067 0.933 44 H 0.065 0.935 45 H 0.054 0.946 46 H 0.055 0.945 47 H 0.085 0.915 48 H 0.023 0.977 49 H 0.253 0.747 50 H 0.055 0.945 51 H 0.023 0.977 52 H 0.065 0.935 53 H 0.054 0.946 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.971 -7.637 8.877 21.449 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 -0.063 4.063 2 O -0.309 6.309 3 C -0.004 4.004 4 C -0.060 4.060 5 C 0.010 3.990 6 N -0.369 5.369 7 C 0.293 3.707 8 O -0.418 6.418 9 C -0.181 4.181 10 C 0.041 3.959 11 H 0.093 0.907 12 C -0.192 4.192 13 C -0.193 4.193 14 C -0.030 4.030 15 O -0.280 6.280 16 C -0.164 4.164 17 C 0.045 3.955 18 N -0.314 5.314 19 C -0.382 4.382 20 H 0.083 0.917 21 C -0.196 4.196 22 N -0.544 5.544 23 Si 0.730 3.270 24 H -0.203 1.203 25 H -0.218 1.218 26 H -0.217 1.217 27 C 0.016 3.984 28 C -0.159 4.159 29 H 0.058 0.942 30 H 0.100 0.900 31 H 0.056 0.944 32 H 0.063 0.937 33 H 0.068 0.932 34 H 0.071 0.929 35 H 0.101 0.899 36 H 0.248 0.752 37 H 0.116 0.884 38 H 0.118 0.882 39 H 0.099 0.901 40 H 0.101 0.899 41 H 0.098 0.902 42 H 0.094 0.906 43 H 0.085 0.915 44 H 0.083 0.917 45 H 0.072 0.928 46 H 0.073 0.927 47 H 0.103 0.897 48 H 0.041 0.959 49 H 0.063 0.937 50 H 0.074 0.926 51 H 0.040 0.960 52 H 0.083 0.917 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -17.070 -7.530 9.351 20.870 hybrid contribution -0.203 0.119 -1.097 1.122 sum -17.273 -7.412 8.254 20.528 Atomic orbital electron populations 1.22692 0.81545 1.02347 0.99746 1.87576 1.19152 1.28844 1.95310 1.22762 0.94024 0.83859 0.99709 1.20803 0.91300 0.97249 0.96610 1.21393 0.99483 0.82129 0.96018 1.46229 1.50417 1.14725 1.25481 1.20370 0.81513 0.86397 0.82413 1.90702 1.37053 1.77601 1.36425 1.21830 1.01566 0.94546 1.00107 1.22653 0.81600 0.94342 0.97259 0.90660 1.23349 0.99268 0.95461 1.01081 1.23111 0.95079 1.00584 1.00528 1.23113 0.96541 0.85189 0.98117 1.88629 1.22736 1.34130 1.82458 1.22160 1.00875 0.98353 0.94972 1.20798 0.86339 0.86703 1.01692 1.44046 1.44808 1.14800 1.27730 1.19203 1.10241 0.92339 1.16409 0.91727 1.25049 0.97548 0.96672 1.00358 1.70053 1.40529 1.04613 1.39161 0.86262 0.79455 0.77915 0.83363 1.20333 1.21778 1.21661 1.20931 0.90580 0.95412 0.91437 1.21983 0.99368 0.93611 1.00912 0.94220 0.89951 0.94431 0.93661 0.93212 0.92945 0.89945 0.75243 0.88384 0.88184 0.90135 0.89949 0.90179 0.90645 0.91500 0.91657 0.92752 0.92660 0.89700 0.95902 0.93726 0.92625 0.95967 0.91653 0.92780 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.03 0.29 11.01 101.05 1.11 1.41 16 2 O -0.39 -4.75 6.73 -35.23 -0.24 -4.99 16 3 C 0.07 0.95 4.80 37.16 0.18 1.13 16 4 C -0.06 -0.95 0.51 -154.47 -0.08 -1.03 16 5 C 0.13 2.35 3.81 -4.04 -0.02 2.34 16 6 N -0.71 -11.43 4.63 -60.29 -0.28 -11.71 16 7 C 0.51 8.58 7.73 -10.98 -0.08 8.49 16 8 O -0.54 -11.44 15.53 -6.33 -0.10 -11.54 16 9 C -0.14 -1.72 5.45 -27.88 -0.15 -1.87 16 10 C 0.10 1.24 2.92 -25.70 -0.08 1.17 16 11 H 0.08 1.00 8.00 -51.93 -0.42 0.58 16 12 C -0.15 -1.31 6.57 -24.48 -0.16 -1.47 16 13 C -0.16 -1.29 7.02 -24.79 -0.17 -1.46 16 14 C 0.05 0.54 7.79 37.88 0.30 0.83 16 15 O -0.36 -5.69 10.41 -47.12 -0.49 -6.18 16 16 C -0.12 -2.33 4.59 -26.62 -0.12 -2.45 16 17 C 0.17 4.08 4.83 -3.72 -0.02 4.06 16 18 N -0.59 -14.81 2.99 -172.33 -0.52 -15.32 16 19 C -0.25 -6.96 9.58 -15.06 -0.14 -7.11 16 20 H 0.07 1.75 7.89 -52.48 -0.41 1.34 16 21 C 0.00 0.07 4.92 -17.43 -0.09 -0.02 16 22 N -0.90 -26.66 11.20 55.49 0.62 -26.04 16 23 Si 0.90 21.94 29.59 -169.99 -5.03 16.91 16 24 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 25 H -0.29 -7.18 7.11 56.52 0.40 -6.78 16 26 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 27 C 0.14 2.99 6.05 -3.71 -0.02 2.97 16 28 C -0.12 -1.98 4.90 -26.62 -0.13 -2.11 16 29 H 0.04 0.32 8.14 -51.93 -0.42 -0.10 16 30 H 0.08 0.58 8.14 -51.93 -0.42 0.16 16 31 H 0.04 0.30 8.14 -51.93 -0.42 -0.12 16 32 H 0.05 0.55 8.14 -51.93 -0.42 0.12 16 33 H 0.05 0.62 8.14 -51.92 -0.42 0.20 16 34 H 0.05 0.91 8.14 -51.93 -0.42 0.48 16 35 H 0.08 1.78 4.98 -51.93 -0.26 1.52 16 36 H 0.41 5.90 4.71 -40.82 -0.19 5.71 16 37 H 0.10 1.14 8.14 -51.93 -0.42 0.72 16 38 H 0.10 0.89 8.14 -51.93 -0.42 0.47 16 39 H 0.08 0.63 8.06 -51.93 -0.42 0.21 16 40 H 0.08 0.54 8.14 -51.93 -0.42 0.12 16 41 H 0.08 0.53 8.14 -51.93 -0.42 0.10 16 42 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 43 H 0.07 0.71 8.14 -51.93 -0.42 0.28 16 44 H 0.07 0.71 8.14 -51.93 -0.42 0.28 16 45 H 0.05 0.95 6.50 -51.93 -0.34 0.62 16 46 H 0.05 1.05 8.14 -51.93 -0.42 0.63 16 47 H 0.08 2.30 6.06 -51.93 -0.31 1.99 16 48 H 0.02 0.60 6.70 -51.93 -0.35 0.25 16 49 H 0.25 7.25 8.31 -40.82 -0.34 6.91 16 50 H 0.06 1.14 7.93 -51.93 -0.41 0.73 16 51 H 0.02 0.49 6.69 -51.93 -0.35 0.14 16 52 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 53 H 0.05 0.77 8.14 -51.93 -0.42 0.35 16 LS Contribution 400.98 15.07 6.04 6.04 Total: -1.00 -34.06 400.98 -9.02 -43.08 By element: Atomic # 1 Polarization: 14.23 SS G_CDS: -9.36 Total: 4.87 kcal Atomic # 6 Polarization: 4.56 SS G_CDS: 0.32 Total: 4.88 kcal Atomic # 7 Polarization: -52.90 SS G_CDS: -0.17 Total: -53.07 kcal Atomic # 8 Polarization: -21.88 SS G_CDS: -0.83 Total: -22.71 kcal Atomic # 14 Polarization: 21.94 SS G_CDS: -5.03 Total: 16.91 kcal Total LS contribution 6.04 Total: 6.04 kcal Total: -34.06 -9.02 -43.08 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. ZINC001162131592.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 -65.451 kcal (2) G-P(sol) polarization free energy of solvation -34.057 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -99.507 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.021 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.078 kcal (6) G-S(sol) free energy of system = (1) + (5) -108.529 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds