Wall clock time and date at job start Tue Mar 31 2020 23:56:38 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 1.42904 * 113.99900 * 2 1 4 4 C 1.52993 * 109.47060 * 179.97438 * 3 2 1 5 5 C 1.53002 * 109.46322 * 300.00370 * 4 3 2 6 6 N 1.46496 * 109.47138 * 60.02369 * 5 4 3 7 7 C 1.34780 * 119.99718 * 180.02562 * 6 5 4 8 8 O 1.21274 * 119.99916 * 0.02562 * 7 6 5 9 9 C 1.50698 * 119.99842 * 179.97438 * 7 6 5 10 10 H 1.09007 * 110.32974 * 54.21029 * 9 7 6 11 11 C 1.54476 * 110.46981 * 291.89508 * 9 7 6 12 12 C 1.54515 * 104.06164 * 217.13822 * 11 9 7 13 13 H 1.09002 * 110.50488 * 118.64246 * 12 11 9 14 14 C 1.52991 * 110.51140 * 241.35423 * 12 11 9 15 15 C 1.54480 * 104.06251 * 0.02562 * 12 11 9 16 16 O 1.44425 * 104.80536 * 23.97452 * 15 12 11 17 17 C 1.53043 * 109.44860 * 59.96696 * 4 3 2 18 18 C 1.53196 * 109.31440 * 181.37631 * 17 4 3 19 19 N 1.46919 * 108.77482 * 305.36556 * 18 17 4 20 20 C 1.36943 * 120.63017 * 233.58490 * 19 18 17 21 21 H 1.07997 * 119.99743 * 27.69132 * 20 19 18 22 22 C 1.38809 * 119.99766 * 207.69550 * 20 19 18 23 23 N 1.31616 * 120.00333 * 17.36363 * 22 20 19 24 24 Si 1.86804 * 119.99659 * 197.36571 * 22 20 19 25 25 H 1.48498 * 109.47002 * 0.02562 * 24 22 20 26 26 H 1.48506 * 109.47003 * 119.99834 * 24 22 20 27 27 H 1.48497 * 109.47109 * 239.99569 * 24 22 20 28 28 C 1.46926 * 118.73909 * 53.60796 * 19 18 17 29 29 C 1.53044 * 109.46193 * 180.02562 * 4 3 2 30 30 H 1.09005 * 109.47213 * 180.02562 * 1 2 3 31 31 H 1.08994 * 109.47333 * 300.00019 * 1 2 3 32 32 H 1.09003 * 109.47206 * 60.00031 * 1 2 3 33 33 H 1.09004 * 109.46764 * 59.99690 * 3 2 1 34 34 H 1.09001 * 109.46712 * 299.99916 * 3 2 1 35 35 H 1.08996 * 109.46566 * 300.02398 * 5 4 3 36 36 H 1.08998 * 109.46999 * 180.02562 * 5 4 3 37 37 H 0.97001 * 120.00409 * 0.02562 * 6 5 4 38 38 H 1.09005 * 110.50977 * 98.49778 * 11 9 7 39 39 H 1.08997 * 110.51284 * 335.78514 * 11 9 7 40 40 H 1.09001 * 109.47011 * 176.10038 * 14 12 11 41 41 H 1.08997 * 109.47832 * 296.09826 * 14 12 11 42 42 H 1.09001 * 109.47139 * 56.10144 * 14 12 11 43 43 H 1.09000 * 110.36920 * 142.80998 * 15 12 11 44 44 H 1.09004 * 110.36954 * 265.03607 * 15 12 11 45 45 H 1.09000 * 109.50148 * 301.33039 * 17 4 3 46 46 H 1.09004 * 109.49853 * 61.42644 * 17 4 3 47 47 H 1.08998 * 109.58763 * 185.57769 * 18 17 4 48 48 H 1.09006 * 109.69949 * 65.22489 * 18 17 4 49 49 H 0.97009 * 120.00122 * 180.02562 * 23 22 20 50 50 H 1.09009 * 109.58766 * 186.60135 * 28 19 18 51 51 H 1.09000 * 109.58714 * 66.18182 * 28 19 18 52 52 H 1.09004 * 109.49591 * 298.58157 * 29 4 3 53 53 H 1.08995 * 109.49390 * 58.67508 * 29 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 2.0102 1.3055 0.0000 4 6 3.5354 1.1847 0.0006 5 6 3.9861 0.4256 1.2502 6 7 3.3907 -0.9129 1.2498 7 6 3.6488 -1.7656 2.2611 8 8 4.3737 -1.4246 3.1717 9 6 3.0358 -3.1423 2.2610 10 1 3.2655 -3.6590 1.3291 11 6 1.5070 -3.0529 2.4637 12 6 1.1739 -4.2737 3.3503 13 1 0.7451 -3.9509 4.2991 14 6 0.2171 -5.2199 2.6223 15 6 2.5409 -4.9558 3.5789 16 8 3.5137 -3.9051 3.3908 17 6 3.9869 0.4242 -1.2484 18 6 5.5114 0.2751 -1.2274 19 7 6.1148 1.6066 -1.0806 20 6 7.0611 2.0454 -1.9679 21 1 7.0651 1.6725 -2.9814 22 6 8.0153 2.9692 -1.5644 23 7 8.2373 3.1690 -0.2826 24 14 8.9842 3.9292 -2.8408 25 1 8.5485 3.5233 -4.2012 26 1 8.7411 5.3826 -2.6568 27 1 10.4328 3.6453 -2.6791 28 6 5.6840 2.4582 0.0365 29 6 4.1576 2.5829 0.0013 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8899 32 1 -0.3634 0.5138 -0.8900 33 1 1.6885 1.8464 0.8900 34 1 1.6886 1.8464 -0.8900 35 1 3.6637 0.9665 2.1399 36 1 5.0727 0.3398 1.2510 37 1 2.8106 -1.1855 0.5217 38 1 0.9901 -3.1236 1.5066 39 1 1.2429 -2.1267 2.9741 40 1 0.0483 -6.1067 3.2332 41 1 -0.7320 -4.7132 2.4474 42 1 0.6533 -5.5139 1.6677 43 1 2.6022 -5.3527 4.5923 44 1 2.6942 -5.7520 2.8504 45 1 3.5249 -0.5629 -1.2602 46 1 3.6877 0.9771 -2.1389 47 1 5.8472 -0.1775 -2.1604 48 1 5.8074 -0.3549 -0.3884 49 1 8.9039 3.8149 -0.0006 50 1 6.1338 3.4462 -0.0626 51 1 5.9922 2.0072 0.9798 52 1 3.8568 3.1154 -0.9010 53 1 3.8171 3.1322 0.8790 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 ZINC001162366517.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 23:56:38 Heat of formation + Delta-G solvation = -106.496816 kcal Electronic energy + Delta-G solvation = -32308.933296 eV Core-core repulsion = 28181.352989 eV Total energy + Delta-G solvation = -4127.580307 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.38 seconds Orbital eigenvalues (eV) -40.42334 -39.51703 -38.00687 -37.11195 -34.52267 -33.79309 -32.97475 -31.12537 -30.36501 -29.76689 -27.67389 -26.64278 -26.27358 -25.66302 -23.87837 -23.50070 -22.23655 -20.89160 -20.77227 -20.06141 -18.54140 -17.46368 -16.52973 -16.28925 -16.23508 -15.95468 -15.83336 -15.36861 -15.12402 -14.88346 -14.71160 -14.27899 -14.15122 -13.75997 -13.54480 -13.48303 -13.27587 -13.24478 -12.90224 -12.69940 -12.51747 -12.28455 -11.93155 -11.87370 -11.59520 -11.48697 -11.44520 -11.27124 -11.12427 -10.95241 -10.91727 -10.71259 -10.44214 -10.23676 -10.18745 -10.06755 -9.90941 -9.73748 -9.51404 -9.46515 -9.32603 -8.60363 -8.39915 -6.63436 -5.75965 -3.17896 2.87527 3.11254 3.38495 3.46624 3.48631 3.66998 4.00599 4.28965 4.45664 4.51798 4.64388 4.83895 4.93113 4.94515 5.01619 5.06858 5.16482 5.20151 5.27052 5.27911 5.33813 5.37161 5.41749 5.45867 5.50278 5.53799 5.55730 5.58579 5.68260 5.70373 5.72715 5.75845 5.89873 6.07298 6.10429 6.27094 6.35338 6.47835 6.55023 6.57501 6.59269 6.71608 6.80958 6.88890 7.01058 7.09566 7.35349 7.67958 7.82391 7.95216 8.47386 8.59636 9.23838 9.87491 10.44139 11.32451 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017002 B = 0.002985 C = 0.002719 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1646.477987 B = 9377.840704 C =10296.505227 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.392 6.392 3 C 0.072 3.928 4 C -0.057 4.057 5 C 0.132 3.868 6 N -0.706 5.706 7 C 0.510 3.490 8 O -0.529 6.529 9 C 0.059 3.941 10 H 0.091 0.909 11 C -0.136 4.136 12 C -0.127 4.127 13 H 0.085 0.915 14 C -0.143 4.143 15 C 0.045 3.955 16 O -0.344 6.344 17 C -0.117 4.117 18 C 0.142 3.858 19 N -0.591 5.591 20 C -0.251 4.251 21 H 0.065 0.935 22 C 0.002 3.998 23 N -0.901 5.901 24 Si 0.900 3.100 25 H -0.278 1.278 26 H -0.290 1.290 27 H -0.291 1.291 28 C 0.169 3.831 29 C -0.128 4.128 30 H 0.081 0.919 31 H 0.038 0.962 32 H 0.040 0.960 33 H 0.047 0.953 34 H 0.051 0.949 35 H 0.057 0.943 36 H 0.085 0.915 37 H 0.407 0.593 38 H 0.086 0.914 39 H 0.079 0.921 40 H 0.058 0.942 41 H 0.059 0.941 42 H 0.059 0.941 43 H 0.093 0.907 44 H 0.062 0.938 45 H 0.055 0.945 46 H 0.060 0.940 47 H 0.052 0.948 48 H 0.021 0.979 49 H 0.253 0.747 50 H 0.090 0.910 51 H 0.024 0.976 52 H 0.063 0.937 53 H 0.053 0.947 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -21.073 -12.247 2.936 24.550 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 -0.311 6.311 3 C -0.005 4.005 4 C -0.058 4.058 5 C 0.009 3.991 6 N -0.364 5.364 7 C 0.294 3.706 8 O -0.405 6.405 9 C -0.002 4.002 10 H 0.108 0.892 11 C -0.174 4.174 12 C -0.146 4.146 13 H 0.103 0.897 14 C -0.200 4.200 15 C -0.033 4.033 16 O -0.261 6.261 17 C -0.156 4.156 18 C 0.016 3.984 19 N -0.314 5.314 20 C -0.381 4.381 21 H 0.083 0.917 22 C -0.197 4.197 23 N -0.545 5.545 24 Si 0.730 3.270 25 H -0.203 1.203 26 H -0.216 1.216 27 H -0.218 1.218 28 C 0.044 3.956 29 C -0.167 4.167 30 H 0.100 0.900 31 H 0.057 0.943 32 H 0.058 0.942 33 H 0.066 0.934 34 H 0.069 0.931 35 H 0.076 0.924 36 H 0.103 0.897 37 H 0.248 0.752 38 H 0.105 0.895 39 H 0.098 0.902 40 H 0.077 0.923 41 H 0.078 0.922 42 H 0.078 0.922 43 H 0.111 0.889 44 H 0.080 0.920 45 H 0.074 0.926 46 H 0.078 0.922 47 H 0.070 0.930 48 H 0.039 0.961 49 H 0.063 0.937 50 H 0.108 0.892 51 H 0.042 0.958 52 H 0.081 0.919 53 H 0.072 0.928 Dipole moment (debyes) X Y Z Total from point charges -20.105 -12.015 3.767 23.723 hybrid contribution -0.224 0.640 -1.029 1.232 sum -20.329 -11.375 2.738 23.456 Atomic orbital electron populations 1.22691 0.81487 1.02272 0.99873 1.87545 1.19219 1.29014 1.95353 1.22794 0.93896 0.83769 0.99994 1.20815 0.91385 0.97810 0.95784 1.21477 0.99536 0.81442 0.96631 1.46159 1.50500 1.14782 1.24987 1.20079 0.81723 0.85974 0.82804 1.90727 1.36702 1.77212 1.35842 1.22840 0.93641 0.91849 0.91872 0.89163 1.22950 0.94031 0.99311 1.01104 1.22552 0.96698 0.95529 0.99810 0.89706 1.21813 0.98967 0.98939 1.00319 1.23576 0.86720 0.90700 1.02256 1.89304 1.45692 1.42408 1.48715 1.21984 0.99053 0.98638 0.95922 1.20949 0.90158 0.88515 0.98765 1.44045 1.44807 1.11201 1.31315 1.19210 1.05408 1.22313 0.91156 0.91686 1.25036 0.96972 1.01998 0.95683 1.70045 1.34812 1.36442 1.13219 0.86255 0.79635 0.79931 0.81133 1.20335 1.21627 1.21776 1.20819 0.87242 0.97776 0.89813 1.22197 1.01001 0.92709 1.00834 0.90025 0.94350 0.94177 0.93437 0.93067 0.92435 0.89658 0.75151 0.89534 0.90209 0.92280 0.92182 0.92214 0.88858 0.91956 0.92613 0.92172 0.92964 0.96146 0.93667 0.89203 0.95832 0.91875 0.92838 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 C 0.03 0.26 11.01 101.05 1.11 1.38 16 2 O -0.39 -4.31 6.73 -35.23 -0.24 -4.55 16 3 C 0.07 0.89 4.80 37.15 0.18 1.07 16 4 C -0.06 -0.89 0.51 -154.47 -0.08 -0.97 16 5 C 0.13 2.25 3.81 -4.04 -0.02 2.24 16 6 N -0.71 -10.50 4.62 -60.30 -0.28 -10.78 16 7 C 0.51 8.44 7.08 -10.98 -0.08 8.37 16 8 O -0.53 -11.39 16.55 -13.64 -0.23 -11.61 16 9 C 0.06 0.75 3.70 -27.11 -0.10 0.65 16 10 H 0.09 0.97 8.14 -51.93 -0.42 0.55 16 11 C -0.14 -1.25 6.27 -25.16 -0.16 -1.41 16 12 C -0.13 -1.00 3.72 -89.05 -0.33 -1.33 16 13 H 0.08 0.66 8.14 -51.93 -0.42 0.23 16 14 C -0.14 -0.80 8.94 37.15 0.33 -0.47 16 15 C 0.04 0.42 7.18 37.93 0.27 0.69 16 16 O -0.34 -5.00 10.91 -54.43 -0.59 -5.60 16 17 C -0.12 -1.92 4.59 -26.61 -0.12 -2.04 16 18 C 0.14 2.95 6.04 -3.71 -0.02 2.93 16 19 N -0.59 -14.51 2.99 -172.32 -0.52 -15.02 16 20 C -0.25 -6.84 9.59 -15.06 -0.14 -6.98 16 21 H 0.07 1.75 7.89 -52.49 -0.41 1.33 16 22 C 0.00 0.05 4.91 -17.43 -0.09 -0.04 16 23 N -0.90 -26.22 11.19 55.49 0.62 -25.60 16 24 Si 0.90 21.68 29.59 -169.99 -5.03 16.65 16 25 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 26 H -0.29 -6.97 7.11 56.52 0.40 -6.57 16 27 H -0.29 -7.11 7.11 56.52 0.40 -6.71 16 28 C 0.17 3.92 4.84 -3.71 -0.02 3.90 16 29 C -0.13 -2.27 4.91 -26.61 -0.13 -2.40 16 30 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.04 0.29 8.14 -51.93 -0.42 -0.14 16 32 H 0.04 0.29 8.14 -51.93 -0.42 -0.13 16 33 H 0.05 0.57 8.14 -51.93 -0.42 0.14 16 34 H 0.05 0.61 8.14 -51.93 -0.42 0.18 16 35 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 36 H 0.09 1.78 4.98 -51.93 -0.26 1.52 16 37 H 0.41 5.24 4.71 -40.82 -0.19 5.05 16 38 H 0.09 0.61 7.73 -51.93 -0.40 0.21 16 39 H 0.08 0.82 7.87 -51.93 -0.41 0.41 16 40 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 41 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 42 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 43 H 0.09 0.77 8.14 -51.93 -0.42 0.35 16 44 H 0.06 0.49 7.87 -51.93 -0.41 0.08 16 45 H 0.06 0.81 6.49 -51.93 -0.34 0.48 16 46 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 47 H 0.05 1.07 7.93 -51.93 -0.41 0.66 16 48 H 0.02 0.45 6.70 -51.93 -0.35 0.10 16 49 H 0.25 7.13 8.31 -40.82 -0.34 6.80 16 50 H 0.09 2.35 6.04 -51.92 -0.31 2.04 16 51 H 0.02 0.59 6.69 -51.93 -0.35 0.24 16 52 H 0.06 1.12 8.14 -51.93 -0.42 0.70 16 53 H 0.05 0.86 8.14 -51.93 -0.42 0.43 16 LS Contribution 401.16 15.07 6.05 6.05 Total: -1.00 -33.24 401.16 -8.92 -42.16 By element: Atomic # 1 Polarization: 12.03 SS G_CDS: -9.32 Total: 2.71 kcal Atomic # 6 Polarization: 4.98 SS G_CDS: 0.61 Total: 5.59 kcal Atomic # 7 Polarization: -51.23 SS G_CDS: -0.17 Total: -51.40 kcal Atomic # 8 Polarization: -20.70 SS G_CDS: -1.06 Total: -21.76 kcal Atomic # 14 Polarization: 21.68 SS G_CDS: -5.03 Total: 16.65 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -33.24 -8.92 -42.16 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. ZINC001162366517.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 -64.334 kcal (2) G-P(sol) polarization free energy of solvation -33.240 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.575 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.922 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.162 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.497 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.39 seconds