Wall clock time and date at job start Sat Apr 11 2020 06:12:09 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 1.42901 * 1 3 3 C 1.42899 * 114.00119 * 2 1 4 4 H 1.09000 * 109.46969 * 29.99582 * 3 2 1 5 5 C 1.50705 * 109.46932 * 269.99726 * 3 2 1 6 6 O 1.21288 * 120.00021 * 351.28220 * 5 3 2 7 7 N 1.34776 * 119.99754 * 171.27237 * 5 3 2 8 8 C 1.46927 * 120.62726 * 184.88920 * 7 5 3 9 9 C 1.53197 * 108.77347 * 126.41715 * 8 7 5 10 10 C 1.53040 * 109.31247 * 54.63317 * 9 8 7 11 11 C 1.53033 * 109.53895 * 298.63617 * 10 9 8 12 12 C 1.53008 * 109.50057 * 181.31460 * 11 10 9 13 13 O 1.42901 * 109.46676 * 64.99799 * 12 11 10 14 14 N 1.46498 * 109.49977 * 301.38123 * 11 10 9 15 15 C 1.36937 * 119.99846 * 305.85972 * 14 11 10 16 16 H 1.08010 * 120.00048 * 7.44448 * 15 14 11 17 17 C 1.38804 * 120.00380 * 187.44278 * 15 14 11 18 18 N 1.31618 * 120.00823 * 184.45013 * 17 15 14 19 19 Si 1.86811 * 119.99961 * 4.44819 * 17 15 14 20 20 H 1.48494 * 109.46757 * 93.48159 * 19 17 15 21 21 H 1.48498 * 109.47088 * 213.47973 * 19 17 15 22 22 H 1.48499 * 109.46933 * 333.48259 * 19 17 15 23 23 C 1.46924 * 120.63076 * 4.91708 * 7 5 3 24 24 C 1.53000 * 109.47094 * 150.00232 * 3 2 1 25 25 C 1.54267 * 110.03311 * 52.39496 * 24 3 2 26 26 C 1.54966 * 104.15664 * 217.13624 * 25 24 3 27 27 C 1.54883 * 102.78055 * 37.89138 * 26 25 24 28 28 C 1.53878 * 110.02936 * 295.17857 * 24 3 2 29 29 H 1.09004 * 109.47027 * 180.02562 * 1 2 3 30 30 H 1.09005 * 109.46956 * 300.00121 * 1 2 3 31 31 H 1.09001 * 109.46970 * 60.00070 * 1 2 3 32 32 H 1.08996 * 109.59046 * 6.62855 * 8 7 5 33 33 H 1.09000 * 109.58601 * 246.20643 * 8 7 5 34 34 H 1.08991 * 109.49676 * 294.68377 * 9 8 7 35 35 H 1.08998 * 109.49696 * 174.58611 * 9 8 7 36 36 H 1.08999 * 109.45892 * 178.61068 * 10 9 8 37 37 H 1.09003 * 109.45857 * 58.65312 * 10 9 8 38 38 H 1.09000 * 109.46524 * 305.00304 * 12 11 10 39 39 H 1.08995 * 109.47255 * 185.00119 * 12 11 10 40 40 H 0.96695 * 113.99938 * 180.02562 * 13 12 11 41 41 H 0.97000 * 120.00559 * 125.85845 * 14 11 10 42 42 H 0.96996 * 120.01184 * 179.97438 * 18 17 15 43 43 H 1.08999 * 109.58354 * 113.79948 * 23 7 5 44 44 H 1.08999 * 109.58958 * 353.36595 * 23 7 5 45 45 H 1.09004 * 110.01476 * 173.78883 * 24 3 2 46 46 H 1.08997 * 110.48705 * 335.78347 * 25 24 3 47 47 H 1.09006 * 110.48276 * 98.42972 * 25 24 3 48 48 H 1.09002 * 110.72194 * 279.57078 * 26 25 24 49 49 H 1.09000 * 110.91845 * 156.29685 * 26 25 24 50 50 H 1.08999 * 110.49064 * 203.40810 * 27 26 25 51 51 H 1.08995 * 110.48951 * 80.75714 * 27 26 25 52 52 H 1.09001 * 110.02598 * 238.57162 * 28 24 3 53 53 H 1.08998 * 110.03353 * 359.97438 * 28 24 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 1 1.3450 1.9994 0.5138 5 6 2.2146 1.7643 -1.4209 6 8 2.0442 0.9899 -2.3387 7 7 2.5867 3.0352 -1.6717 8 6 2.6862 3.5274 -3.0524 9 6 1.8438 4.8001 -3.1841 10 6 2.2848 5.8110 -2.1231 11 6 2.0561 5.2225 -0.7291 12 6 2.4666 6.2464 0.3312 13 8 1.6040 7.3831 0.2548 14 7 0.6387 4.8902 -0.5651 15 6 -0.3183 5.8441 -0.7874 16 1 -0.0395 6.8033 -1.1984 17 6 -1.6466 5.5785 -0.4846 18 7 -2.5780 6.4607 -0.7789 19 14 -2.1125 3.9686 0.3407 20 1 -2.1508 4.1601 1.8128 21 1 -3.4505 3.5365 -0.1372 22 1 -1.1067 2.9298 0.0026 23 6 2.9009 3.9545 -0.5695 24 6 3.3590 1.2632 0.7212 25 6 4.2433 0.1495 0.1233 26 6 4.9952 -0.4348 1.3459 27 6 3.9179 -0.4025 2.4582 28 6 3.1523 0.9127 2.2052 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 2.3112 2.7683 -3.7389 33 1 3.7269 3.7521 -3.2861 34 1 0.7914 4.5564 -3.0392 35 1 1.9851 5.2289 -4.1762 36 1 1.7037 6.7269 -2.2305 37 1 3.3435 6.0355 -2.2533 38 1 3.4959 6.5589 0.1551 39 1 2.3878 5.7962 1.3207 40 1 1.8067 8.0746 0.8995 41 1 0.3781 3.9946 -0.2990 42 1 -3.5062 6.2749 -0.5677 43 1 3.9590 4.2142 -0.6008 44 1 2.6675 3.4773 0.3823 45 1 3.8604 2.2269 0.6314 46 1 3.6265 -0.6164 -0.3467 47 1 4.9485 0.5670 -0.5955 48 1 5.8449 0.1937 1.6125 49 1 5.3190 -1.4573 1.1513 50 1 4.3860 -0.3880 3.4424 51 1 3.2482 -1.2574 2.3657 52 1 3.5543 1.7060 2.8356 53 1 2.0912 0.7732 2.4117 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 ZINC001327604409.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 06:12:09 Heat of formation + Delta-G solvation = -110.559588 kcal Electronic energy + Delta-G solvation = -33849.356969 eV Core-core repulsion = 29721.600487 eV Total energy + Delta-G solvation = -4127.756482 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.70886 -38.83162 -37.70537 -36.69693 -35.63642 -33.86542 -32.56185 -31.70576 -30.43044 -29.37711 -28.78171 -26.67501 -26.13173 -25.38913 -24.44405 -23.29833 -21.60597 -20.84521 -20.03191 -19.47747 -18.48086 -17.88165 -17.19830 -16.79936 -16.35727 -16.02068 -15.55727 -15.38514 -14.94039 -14.69183 -14.45107 -14.11024 -14.07269 -13.98216 -13.45436 -13.34765 -13.17289 -13.06252 -12.85857 -12.55379 -12.50810 -12.23409 -12.03208 -11.65043 -11.42051 -11.32846 -11.20113 -11.11134 -11.04315 -10.85950 -10.72259 -10.66845 -10.64092 -10.45083 -10.37574 -10.33791 -10.16422 -9.98280 -9.44769 -9.17406 -9.02708 -8.85624 -8.35804 -7.23738 -5.66938 -3.01879 2.76313 3.04643 3.28556 3.36217 3.44125 3.75002 4.33486 4.52744 4.56195 4.61534 4.68345 4.72925 4.90516 5.01941 5.13731 5.20745 5.32128 5.36102 5.40991 5.43376 5.47345 5.51013 5.53321 5.59068 5.61904 5.64838 5.66438 5.66552 5.75002 5.77456 5.80794 5.81556 5.83461 5.84213 5.98733 5.99649 6.05766 6.15739 6.21888 6.31299 6.35301 6.38855 6.52069 6.73061 6.94121 7.01830 7.06208 7.56956 8.12539 8.34028 8.36772 8.52427 9.29556 9.98710 10.15591 11.51602 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011192 B = 0.005101 C = 0.004566 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2501.105467 B = 5487.617728 C = 6130.649641 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.027 3.973 2 O -0.351 6.351 3 C 0.077 3.923 4 H 0.084 0.916 5 C 0.499 3.501 6 O -0.531 6.531 7 N -0.597 5.597 8 C 0.115 3.885 9 C -0.128 4.128 10 C -0.114 4.114 11 C 0.192 3.808 12 C 0.073 3.927 13 O -0.528 6.528 14 N -0.730 5.730 15 C -0.203 4.203 16 H 0.106 0.894 17 C 0.000 4.000 18 N -0.935 5.935 19 Si 0.873 3.127 20 H -0.289 1.289 21 H -0.294 1.294 22 H -0.286 1.286 23 C 0.101 3.899 24 C -0.092 4.092 25 C -0.116 4.116 26 C -0.122 4.122 27 C -0.119 4.119 28 C -0.116 4.116 29 H 0.089 0.911 30 H 0.042 0.958 31 H 0.046 0.954 32 H 0.085 0.915 33 H 0.060 0.940 34 H 0.086 0.914 35 H 0.062 0.938 36 H 0.081 0.919 37 H 0.045 0.955 38 H 0.026 0.974 39 H 0.033 0.967 40 H 0.354 0.646 41 H 0.356 0.644 42 H 0.255 0.745 43 H 0.076 0.924 44 H 0.085 0.915 45 H 0.092 0.908 46 H 0.083 0.917 47 H 0.061 0.939 48 H 0.063 0.937 49 H 0.064 0.936 50 H 0.061 0.939 51 H 0.067 0.933 52 H 0.066 0.934 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 16.380 -8.547 5.010 19.143 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 -0.070 4.070 2 O -0.268 6.268 3 C 0.015 3.985 4 H 0.102 0.898 5 C 0.286 3.714 6 O -0.408 6.408 7 N -0.331 5.331 8 C -0.007 4.007 9 C -0.166 4.166 10 C -0.153 4.153 11 C 0.100 3.900 12 C -0.009 4.009 13 O -0.330 6.330 14 N -0.373 5.373 15 C -0.332 4.332 16 H 0.124 0.876 17 C -0.195 4.195 18 N -0.585 5.585 19 Si 0.705 3.295 20 H -0.216 1.216 21 H -0.220 1.220 22 H -0.213 1.213 23 C -0.023 4.023 24 C -0.110 4.110 25 C -0.153 4.153 26 C -0.160 4.160 27 C -0.157 4.157 28 C -0.154 4.154 29 H 0.107 0.893 30 H 0.060 0.940 31 H 0.065 0.935 32 H 0.103 0.897 33 H 0.078 0.922 34 H 0.105 0.895 35 H 0.081 0.919 36 H 0.099 0.901 37 H 0.063 0.937 38 H 0.044 0.956 39 H 0.051 0.949 40 H 0.199 0.801 41 H 0.190 0.810 42 H 0.066 0.934 43 H 0.094 0.906 44 H 0.103 0.897 45 H 0.110 0.890 46 H 0.102 0.898 47 H 0.079 0.921 48 H 0.082 0.918 49 H 0.083 0.917 50 H 0.080 0.920 51 H 0.086 0.914 52 H 0.085 0.915 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 15.968 -9.318 3.977 18.911 hybrid contribution -0.593 -0.414 1.141 1.351 sum 15.375 -9.733 5.118 18.903 Atomic orbital electron populations 1.22911 0.80667 1.02854 1.00547 1.87913 1.19790 1.24694 1.94444 1.22100 0.96821 0.86852 0.92685 0.89788 1.21193 0.76561 0.81610 0.92005 1.90660 1.50702 1.53070 1.46325 1.47931 1.67396 1.10296 1.07499 1.21632 0.99502 0.97183 0.82393 1.21813 1.02089 0.94341 0.98376 1.21794 0.99040 0.99815 0.94683 1.19969 0.85876 0.90431 0.93771 1.22666 0.91169 0.88629 0.98393 1.86966 1.57221 1.28951 1.59843 1.42781 1.00128 1.10901 1.83493 1.19117 0.85756 0.95649 1.32710 0.87626 1.24655 0.96052 0.96673 1.02072 1.69668 1.00060 1.34887 1.53856 0.86752 0.77407 0.85266 0.80093 1.21572 1.22034 1.21302 1.22090 0.99154 0.91062 0.89991 1.22087 0.92882 1.00776 0.95279 1.22361 0.97730 0.97988 0.97268 1.22476 0.97579 1.00635 0.95268 1.22295 0.97420 0.97785 0.98161 1.22146 1.01142 0.97744 0.94369 0.89253 0.93987 0.93522 0.89659 0.92208 0.89504 0.91918 0.90085 0.93678 0.95559 0.94895 0.80123 0.81037 0.93439 0.90608 0.89669 0.89016 0.89834 0.92065 0.91815 0.91740 0.92000 0.91406 0.91526 0.91398 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 0.40 10.81 101.05 1.09 1.49 16 2 O -0.35 -5.54 8.35 -54.99 -0.46 -5.99 16 3 C 0.08 1.16 1.15 -27.88 -0.03 1.13 16 4 H 0.08 1.32 6.96 -51.93 -0.36 0.96 16 5 C 0.50 8.58 6.60 -10.98 -0.07 8.51 16 6 O -0.53 -10.81 15.96 -14.21 -0.23 -11.03 16 7 N -0.60 -9.31 2.89 -172.76 -0.50 -9.81 16 8 C 0.11 1.75 6.42 -3.71 -0.02 1.72 16 9 C -0.13 -2.13 5.93 -26.61 -0.16 -2.29 16 10 C -0.11 -1.90 4.33 -26.69 -0.12 -2.01 16 11 C 0.19 3.23 0.68 -131.70 -0.09 3.14 16 12 C 0.07 1.12 6.11 37.16 0.23 1.35 16 13 O -0.53 -9.60 10.50 -35.23 -0.37 -9.97 16 14 N -0.73 -15.72 4.02 -47.12 -0.19 -15.91 16 15 C -0.20 -5.33 8.17 -15.06 -0.12 -5.45 16 16 H 0.11 3.06 5.88 -52.48 -0.31 2.75 16 17 C 0.00 -0.01 5.50 -17.43 -0.10 -0.11 16 18 N -0.94 -29.05 13.97 55.49 0.78 -28.27 16 19 Si 0.87 21.82 28.00 -169.99 -4.76 17.07 16 20 H -0.29 -7.24 7.11 56.52 0.40 -6.83 16 21 H -0.29 -7.62 7.11 56.52 0.40 -7.22 16 22 H -0.29 -6.61 6.17 56.52 0.35 -6.26 16 23 C 0.10 1.39 3.79 -3.71 -0.01 1.37 16 24 C -0.09 -1.08 2.27 -89.50 -0.20 -1.29 16 25 C -0.12 -1.36 5.82 -25.03 -0.15 -1.51 16 26 C -0.12 -1.15 6.91 -24.70 -0.17 -1.32 16 27 C -0.12 -1.13 6.83 -25.07 -0.17 -1.30 16 28 C -0.12 -1.22 6.28 -25.61 -0.16 -1.38 16 29 H 0.09 1.10 8.14 -51.93 -0.42 0.68 16 30 H 0.04 0.59 8.09 -51.93 -0.42 0.17 16 31 H 0.05 0.80 8.14 -51.93 -0.42 0.37 16 32 H 0.09 1.41 7.04 -51.93 -0.37 1.04 16 33 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 34 H 0.09 1.80 7.32 -51.93 -0.38 1.42 16 35 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 36 H 0.08 1.60 6.56 -51.93 -0.34 1.26 16 37 H 0.04 0.63 8.14 -51.93 -0.42 0.21 16 38 H 0.03 0.33 8.14 -51.93 -0.42 -0.09 16 39 H 0.03 0.48 8.14 -51.93 -0.42 0.06 16 40 H 0.35 4.78 9.12 45.56 0.42 5.19 16 41 H 0.36 7.87 5.31 -40.82 -0.22 7.65 16 42 H 0.26 7.67 8.31 -40.82 -0.34 7.33 16 43 H 0.08 0.83 8.14 -51.93 -0.42 0.41 16 44 H 0.09 1.11 4.61 -51.93 -0.24 0.87 16 45 H 0.09 0.98 5.58 -51.93 -0.29 0.69 16 46 H 0.08 1.18 6.93 -51.93 -0.36 0.82 16 47 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 48 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 49 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 50 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 52 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 53 H 0.07 0.77 7.56 -51.93 -0.39 0.38 16 LS Contribution 394.94 15.07 5.95 5.95 Total: -1.00 -33.75 394.94 -8.40 -42.15 By element: Atomic # 1 Polarization: 22.13 SS G_CDS: -8.37 Total: 13.77 kcal Atomic # 6 Polarization: 2.32 SS G_CDS: -0.26 Total: 2.06 kcal Atomic # 7 Polarization: -54.08 SS G_CDS: 0.09 Total: -53.99 kcal Atomic # 8 Polarization: -25.95 SS G_CDS: -1.06 Total: -27.00 kcal Atomic # 14 Polarization: 21.82 SS G_CDS: -4.76 Total: 17.07 kcal Total LS contribution 5.95 Total: 5.95 kcal Total: -33.75 -8.40 -42.15 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. ZINC001327604409.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 -68.406 kcal (2) G-P(sol) polarization free energy of solvation -33.754 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -102.160 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.400 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.154 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.560 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds