Wall clock time and date at job start Sat Apr 11 2020 06:11:46 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 1.42903 * 1 3 3 C 1.42898 * 113.99960 * 2 1 4 4 H 1.08995 * 109.47117 * 30.00093 * 3 2 1 5 5 C 1.50702 * 109.47167 * 269.99923 * 3 2 1 6 6 O 1.21280 * 120.00019 * 351.26102 * 5 3 2 7 7 N 1.34773 * 120.00073 * 171.25067 * 5 3 2 8 8 C 1.46930 * 120.63296 * 354.94381 * 7 5 3 9 9 C 1.53185 * 108.77610 * 233.58302 * 8 7 5 10 10 C 1.53045 * 109.31459 * 305.36017 * 9 8 7 11 11 C 1.52994 * 109.46376 * 181.38792 * 10 9 8 12 12 C 1.52991 * 109.47325 * 175.00431 * 11 10 9 13 13 N 1.46498 * 109.47243 * 180.02562 * 12 11 10 14 14 C 1.36945 * 120.00087 * 179.72206 * 13 12 11 15 15 H 1.08004 * 119.99523 * 0.27471 * 14 13 12 16 16 C 1.38802 * 120.00213 * 180.27482 * 14 13 12 17 17 N 1.31624 * 120.00153 * 359.97438 * 16 14 13 18 18 Si 1.86806 * 120.00292 * 179.97438 * 16 14 13 19 19 H 1.48498 * 109.46692 * 89.99855 * 18 16 14 20 20 H 1.48499 * 109.47014 * 209.99885 * 18 16 14 21 21 H 1.48498 * 109.46761 * 329.99961 * 18 16 14 22 22 C 1.53046 * 109.53620 * 61.36337 * 10 9 8 23 23 C 1.46926 * 120.63165 * 174.91247 * 7 5 3 24 24 C 1.52999 * 109.47269 * 150.00555 * 3 2 1 25 25 H 1.08995 * 110.75381 * 178.00338 * 24 3 2 26 26 C 1.55304 * 110.84652 * 301.47501 * 24 3 2 27 27 C 1.55203 * 100.82861 * 152.17627 * 26 24 3 28 28 O 1.43648 * 105.25989 * 323.81870 * 27 26 24 29 29 C 1.43238 * 109.97050 * 24.28227 * 28 27 26 30 30 H 1.08998 * 109.46760 * 180.02562 * 1 2 3 31 31 H 1.08997 * 109.46657 * 299.99597 * 1 2 3 32 32 H 1.08997 * 109.47239 * 59.99425 * 1 2 3 33 33 H 1.09003 * 109.58787 * 113.79222 * 8 7 5 34 34 H 1.09003 * 109.69677 * 353.44185 * 8 7 5 35 35 H 1.09000 * 109.49870 * 185.41371 * 9 8 7 36 36 H 1.08997 * 109.52714 * 65.32722 * 9 8 7 37 37 H 1.08998 * 109.45919 * 301.36465 * 10 9 8 38 38 H 1.09004 * 109.46991 * 54.99755 * 11 10 9 39 39 H 1.09000 * 109.47016 * 295.00025 * 11 10 9 40 40 H 1.09004 * 109.47638 * 59.99720 * 12 11 10 41 41 H 1.09004 * 109.47425 * 299.99922 * 12 11 10 42 42 H 0.96991 * 120.00251 * 359.97438 * 13 12 11 43 43 H 0.96996 * 120.00321 * 179.97438 * 17 16 14 44 44 H 1.09001 * 109.49158 * 58.58700 * 22 10 9 45 45 H 1.08991 * 109.49771 * 178.68338 * 22 10 9 46 46 H 1.08998 * 109.59343 * 246.20601 * 23 7 5 47 47 H 1.08996 * 109.58893 * 6.49370 * 23 7 5 48 48 H 1.09002 * 111.12464 * 270.24537 * 26 24 3 49 49 H 1.09006 * 111.12308 * 34.40066 * 26 24 3 50 50 H 1.08997 * 110.37196 * 204.79859 * 27 26 24 51 51 H 1.09006 * 110.12304 * 82.71214 * 27 26 24 52 52 H 1.08996 * 109.82656 * 238.77325 * 29 28 27 53 53 H 1.09004 * 109.89995 * 117.84524 * 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 8 1.4290 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 1 1.3450 1.9993 0.5138 5 6 2.2146 1.7644 -1.4208 6 8 2.0445 0.9900 -2.3386 7 7 2.5861 3.0354 -1.6716 8 6 2.6887 4.0145 -0.5809 9 6 1.8456 5.2421 -0.9395 10 6 2.2832 5.7752 -2.3057 11 6 1.4668 7.0221 -2.6518 12 6 1.9878 7.6268 -3.9570 13 7 1.2066 8.8210 -4.2880 14 6 1.4971 9.5378 -5.4181 15 1 2.2993 9.2201 -6.0676 16 6 0.7606 10.6726 -5.7287 17 7 -0.2174 11.0595 -4.9373 18 14 1.1573 11.6508 -7.2699 19 1 0.3614 11.1253 -8.4082 20 1 0.8213 13.0803 -7.0490 21 1 2.6046 11.5242 -7.5775 22 6 2.0516 4.7020 -3.3720 23 6 2.8970 3.4681 -3.0409 24 6 3.3590 1.2633 0.7211 25 1 3.8376 2.2423 0.7026 26 6 3.1901 0.7580 2.1799 27 6 4.5830 0.1210 2.4309 28 8 4.9607 -0.4684 1.1765 29 6 4.2797 0.1898 0.1020 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3632 0.5138 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 3.7297 4.3109 -0.4526 34 1 2.3176 3.5738 0.3444 35 1 1.9890 6.0151 -0.1845 36 1 0.7928 4.9624 -0.9784 37 1 3.3420 6.0319 -2.2732 38 1 1.5623 7.7532 -1.8489 39 1 0.4186 6.7484 -2.7712 40 1 1.8924 6.8957 -4.7598 41 1 3.0362 7.9005 -3.8376 42 1 0.4859 9.1062 -3.7048 43 1 -0.7319 11.8527 -5.1542 44 1 0.9970 4.4268 -3.3880 45 1 2.3415 5.0905 -4.3482 46 1 3.9550 3.7200 -3.1133 47 1 2.6640 2.6648 -3.7398 48 1 3.0045 1.5865 2.8636 49 1 2.3996 0.0105 2.2478 50 1 4.5163 -0.6447 3.2038 51 1 5.3003 0.8893 2.7193 52 1 3.6830 -0.5325 -0.4551 53 1 5.0036 0.6620 -0.5622 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 ZINC001666231075.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 06:11:46 Heat of formation + Delta-G solvation = -122.155556 kcal Electronic energy + Delta-G solvation = -30906.424474 eV Core-core repulsion = 26778.165153 eV Total energy + Delta-G solvation = -4128.259321 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -41.12847 -39.54454 -38.38713 -37.31791 -35.43664 -33.89456 -33.15525 -31.41599 -31.20498 -30.16299 -28.58406 -27.49751 -26.39092 -25.07864 -23.45586 -23.24000 -22.71410 -21.61875 -20.99801 -20.35682 -19.36411 -17.78197 -17.48130 -17.03240 -16.93787 -16.42704 -15.90501 -15.32045 -15.19784 -15.03557 -14.81167 -14.70963 -14.55477 -14.07564 -13.84213 -13.75913 -13.68688 -13.48713 -13.36395 -13.01554 -12.85794 -12.77584 -12.34473 -12.18159 -11.98638 -11.76185 -11.47297 -11.36750 -11.27901 -11.23170 -11.16669 -11.02584 -10.88570 -10.79295 -10.62145 -10.36022 -10.21896 -9.99433 -9.82875 -9.69058 -9.53202 -8.89071 -8.84966 -6.91987 -5.77257 -3.05804 2.25162 2.56409 3.23608 3.42922 3.47866 3.49606 3.51313 3.79006 4.02426 4.25197 4.37652 4.46851 4.56037 4.63978 4.66486 4.75448 4.76734 4.81007 4.90056 4.92380 4.96599 5.07284 5.09106 5.14845 5.26406 5.31248 5.32774 5.34818 5.44508 5.52576 5.53501 5.56620 5.61900 5.64714 5.75880 5.77021 5.81571 5.90360 6.05082 6.11936 6.26162 6.34366 6.39807 6.41893 6.54647 6.63588 6.84857 6.89795 7.09953 7.69079 7.87481 8.42110 9.52841 10.11805 10.45900 11.45779 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.024396 B = 0.001931 C = 0.001908 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1147.431747 B =14498.930363 C =14667.979038 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.028 3.972 2 O -0.353 6.353 3 C 0.084 3.916 4 H 0.090 0.910 5 C 0.491 3.509 6 O -0.523 6.523 7 N -0.607 5.607 8 C 0.102 3.898 9 C -0.130 4.130 10 C -0.082 4.082 11 C -0.120 4.120 12 C 0.152 3.848 13 N -0.735 5.735 14 C -0.238 4.238 15 H 0.070 0.930 16 C -0.016 4.016 17 N -0.935 5.935 18 Si 0.907 3.093 19 H -0.290 1.290 20 H -0.291 1.291 21 H -0.282 1.282 22 C -0.131 4.131 23 C 0.110 3.890 24 C -0.120 4.120 25 H 0.104 0.896 26 C -0.148 4.148 27 C 0.052 3.948 28 O -0.382 6.382 29 C 0.060 3.940 30 H 0.092 0.908 31 H 0.043 0.957 32 H 0.046 0.954 33 H 0.074 0.926 34 H 0.080 0.920 35 H 0.078 0.922 36 H 0.067 0.933 37 H 0.073 0.927 38 H 0.062 0.938 39 H 0.061 0.939 40 H 0.020 0.980 41 H 0.016 0.984 42 H 0.383 0.617 43 H 0.255 0.745 44 H 0.066 0.934 45 H 0.085 0.915 46 H 0.069 0.931 47 H 0.091 0.909 48 H 0.085 0.915 49 H 0.090 0.910 50 H 0.086 0.914 51 H 0.060 0.940 52 H 0.086 0.914 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.014 -22.282 18.656 29.677 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 -0.068 4.068 2 O -0.270 6.270 3 C 0.022 3.978 4 H 0.108 0.892 5 C 0.278 3.722 6 O -0.398 6.398 7 N -0.343 5.343 8 C -0.020 4.020 9 C -0.169 4.169 10 C -0.101 4.101 11 C -0.158 4.158 12 C 0.025 3.975 13 N -0.379 5.379 14 C -0.370 4.370 15 H 0.088 0.912 16 C -0.212 4.212 17 N -0.583 5.583 18 Si 0.738 3.262 19 H -0.217 1.217 20 H -0.218 1.218 21 H -0.208 1.208 22 C -0.169 4.169 23 C -0.012 4.012 24 C -0.139 4.139 25 H 0.122 0.878 26 C -0.186 4.186 27 C -0.024 4.024 28 O -0.301 6.301 29 C -0.016 4.016 30 H 0.111 0.889 31 H 0.062 0.938 32 H 0.065 0.935 33 H 0.092 0.908 34 H 0.098 0.902 35 H 0.097 0.903 36 H 0.086 0.914 37 H 0.091 0.909 38 H 0.081 0.919 39 H 0.079 0.921 40 H 0.037 0.963 41 H 0.034 0.966 42 H 0.216 0.784 43 H 0.065 0.935 44 H 0.084 0.916 45 H 0.103 0.897 46 H 0.087 0.913 47 H 0.109 0.891 48 H 0.104 0.896 49 H 0.108 0.892 50 H 0.104 0.896 51 H 0.078 0.922 52 H 0.104 0.896 53 H 0.084 0.916 Dipole moment (debyes) X Y Z Total from point charges 6.251 -23.009 17.977 29.860 hybrid contribution -0.528 1.378 -0.677 1.623 sum 5.723 -21.631 17.300 28.283 Atomic orbital electron populations 1.22901 0.80235 1.03490 1.00203 1.87985 1.20259 1.24411 1.94351 1.21858 0.96169 0.87148 0.92626 0.89191 1.21227 0.77232 0.81857 0.91922 1.90719 1.49763 1.53291 1.46048 1.48204 1.67637 1.09335 1.09105 1.21909 1.01022 0.89839 0.89275 1.22000 1.00012 0.96568 0.98285 1.21084 1.00508 0.95007 0.93529 1.21751 0.99493 0.95604 0.98969 1.20696 0.94373 0.89275 0.93173 1.42387 1.39505 1.27968 1.28031 1.19240 1.13153 1.04756 0.99818 0.91221 1.24755 0.98547 0.98832 0.99057 1.69661 1.23390 1.26823 1.38475 0.86180 0.77684 0.79418 0.82870 1.21711 1.21759 1.20758 1.22041 1.00516 0.94265 1.00043 1.21703 0.99176 0.97783 0.82519 1.22923 0.93841 1.01395 0.95715 0.87830 1.23353 0.99051 1.01637 0.94543 1.23389 0.94212 0.97581 0.87264 1.88414 1.67890 1.59069 1.14740 1.23116 0.94135 0.94519 0.89877 0.88945 0.93799 0.93521 0.90821 0.90173 0.90299 0.91424 0.90896 0.91908 0.92067 0.96260 0.96631 0.78384 0.93539 0.91553 0.89662 0.91310 0.89056 0.89591 0.89173 0.89591 0.92158 0.89577 0.91587 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.21 10.81 101.05 1.09 1.30 16 2 O -0.35 -3.48 8.02 -54.99 -0.44 -3.93 16 3 C 0.08 0.70 1.46 -27.88 -0.04 0.66 16 4 H 0.09 0.56 6.63 -51.93 -0.34 0.21 16 5 C 0.49 5.49 6.53 -10.99 -0.07 5.42 16 6 O -0.52 -7.96 15.94 -14.20 -0.23 -8.19 16 7 N -0.61 -5.87 2.97 -172.77 -0.51 -6.39 16 8 C 0.10 0.72 5.06 -3.71 -0.02 0.70 16 9 C -0.13 -1.12 5.36 -26.61 -0.14 -1.26 16 10 C -0.08 -0.92 2.15 -90.58 -0.19 -1.11 16 11 C -0.12 -1.81 4.80 -26.74 -0.13 -1.93 16 12 C 0.15 2.98 6.01 -4.05 -0.02 2.96 16 13 N -0.73 -18.76 5.60 -59.91 -0.34 -19.09 16 14 C -0.24 -6.75 9.99 -15.06 -0.15 -6.90 16 15 H 0.07 1.91 7.83 -52.48 -0.41 1.50 16 16 C -0.02 -0.47 5.50 -17.43 -0.10 -0.57 16 17 N -0.93 -28.44 13.06 55.49 0.72 -27.72 16 18 Si 0.91 22.53 29.55 -169.99 -5.02 17.50 16 19 H -0.29 -7.16 7.11 56.52 0.40 -6.76 16 20 H -0.29 -7.26 7.11 56.52 0.40 -6.86 16 21 H -0.28 -6.79 7.11 56.52 0.40 -6.39 16 22 C -0.13 -1.50 5.15 -26.61 -0.14 -1.64 16 23 C 0.11 1.17 6.44 -3.71 -0.02 1.14 16 24 C -0.12 -0.85 2.51 -88.68 -0.22 -1.07 16 25 H 0.10 0.58 6.36 -51.93 -0.33 0.25 16 26 C -0.15 -0.83 6.58 -24.34 -0.16 -0.99 16 27 C 0.05 0.35 7.78 38.32 0.30 0.65 16 28 O -0.38 -3.99 11.36 -35.23 -0.40 -4.39 16 29 C 0.06 0.58 6.82 37.88 0.26 0.84 16 30 H 0.09 0.58 8.14 -51.93 -0.42 0.16 16 31 H 0.04 0.24 8.08 -51.93 -0.42 -0.18 16 32 H 0.05 0.40 8.14 -51.93 -0.42 -0.02 16 33 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 34 H 0.08 0.40 5.12 -51.93 -0.27 0.13 16 35 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.07 0.63 8.14 -51.93 -0.42 0.20 16 37 H 0.07 0.80 8.14 -51.93 -0.42 0.37 16 38 H 0.06 0.95 8.14 -51.93 -0.42 0.53 16 39 H 0.06 0.96 8.14 -51.93 -0.42 0.54 16 40 H 0.02 0.38 6.53 -51.93 -0.34 0.05 16 41 H 0.02 0.31 8.14 -51.93 -0.42 -0.11 16 42 H 0.38 10.24 7.67 -40.82 -0.31 9.93 16 43 H 0.25 7.48 8.31 -40.82 -0.34 7.14 16 44 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 45 H 0.08 1.06 6.50 -51.93 -0.34 0.72 16 46 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 47 H 0.09 1.11 7.00 -51.93 -0.36 0.74 16 48 H 0.09 0.30 8.14 -51.93 -0.42 -0.13 16 49 H 0.09 0.57 7.38 -51.93 -0.38 0.19 16 50 H 0.09 0.48 8.14 -51.93 -0.42 0.05 16 51 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 52 H 0.09 1.02 7.04 -51.93 -0.37 0.65 16 53 H 0.07 0.64 8.14 -51.93 -0.42 0.21 16 LS Contribution 407.36 15.07 6.14 6.14 Total: -1.00 -34.79 407.36 -9.19 -43.98 By element: Atomic # 1 Polarization: 13.24 SS G_CDS: -9.35 Total: 3.89 kcal Atomic # 6 Polarization: -2.05 SS G_CDS: 0.24 Total: -1.81 kcal Atomic # 7 Polarization: -53.08 SS G_CDS: -0.12 Total: -53.20 kcal Atomic # 8 Polarization: -15.43 SS G_CDS: -1.07 Total: -16.50 kcal Atomic # 14 Polarization: 22.53 SS G_CDS: -5.02 Total: 17.50 kcal Total LS contribution 6.14 Total: 6.14 kcal Total: -34.79 -9.19 -43.98 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. ZINC001666231075.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 -78.179 kcal (2) G-P(sol) polarization free energy of solvation -34.787 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.966 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.189 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.977 kcal (6) G-S(sol) free energy of system = (1) + (5) -122.156 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds