Wall clock time and date at job start Sat Apr 11 2020 06:10:04 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 C 1.53000 * 1 3 3 C 1.53003 * 109.46999 * 2 1 4 4 C 1.52998 * 109.47204 * 174.99890 * 3 2 1 5 5 C 1.53005 * 109.47233 * 184.99979 * 4 3 2 6 6 N 1.46499 * 109.47232 * 295.00260 * 3 2 1 7 7 C 1.46770 * 124.35134 * 119.99806 * 6 3 2 8 8 C 1.54476 * 105.47215 * 163.00424 * 7 6 3 9 9 H 1.09002 * 110.96839 * 143.56984 * 8 7 6 10 10 C 1.50695 * 110.96994 * 267.29572 * 8 7 6 11 11 O 1.21280 * 120.00180 * 0.02562 * 10 8 7 12 12 N 1.34784 * 119.99981 * 180.02562 * 10 8 7 13 13 C 1.46496 * 119.99865 * 359.97438 * 12 10 8 14 14 C 1.50697 * 109.47056 * 94.31960 * 13 12 10 15 15 H 1.08010 * 119.99750 * 275.42997 * 14 13 12 16 16 C 1.37872 * 120.00328 * 95.15865 * 14 13 12 17 17 N 1.31519 * 119.99626 * 7.64204 * 16 14 13 18 18 Si 1.86800 * 120.00193 * 187.64997 * 16 14 13 19 19 H 1.48505 * 109.46992 * 89.99681 * 18 16 14 20 20 H 1.48499 * 109.47248 * 209.99481 * 18 16 14 21 21 H 1.48502 * 109.47249 * 329.99560 * 18 16 14 22 22 C 1.46503 * 119.99949 * 180.02562 * 12 10 8 23 23 C 1.53000 * 109.46849 * 275.60372 * 22 12 10 24 24 O 1.42903 * 109.47287 * 65.66082 * 23 22 12 25 25 C 1.42900 * 114.00065 * 179.97438 * 24 23 22 26 26 C 1.54625 * 101.76873 * 25.41649 * 8 7 6 27 27 C 1.34422 * 124.34872 * 300.02235 * 6 3 2 28 28 O 1.21283 * 124.93905 * 0.34835 * 27 6 3 29 29 H 1.09001 * 109.46703 * 180.02562 * 1 2 3 30 30 H 1.08998 * 109.46842 * 299.99681 * 1 2 3 31 31 H 1.08995 * 109.47201 * 60.00010 * 1 2 3 32 32 H 1.08999 * 109.47342 * 240.00475 * 2 1 3 33 33 H 1.08997 * 109.47692 * 119.99816 * 2 1 3 34 34 H 1.09003 * 109.47072 * 55.00345 * 3 2 1 35 35 H 1.08993 * 109.47205 * 305.00261 * 4 3 2 36 36 H 1.08998 * 109.46769 * 65.00692 * 4 3 2 37 37 H 1.09003 * 109.46789 * 300.00465 * 5 4 3 38 38 H 1.09001 * 109.46759 * 59.99700 * 5 4 3 39 39 H 1.08997 * 109.47143 * 180.02562 * 5 4 3 40 40 H 1.08999 * 110.24381 * 44.00040 * 7 6 3 41 41 H 1.08997 * 110.24287 * 282.00563 * 7 6 3 42 42 H 1.08999 * 109.47209 * 334.31522 * 13 12 10 43 43 H 1.09001 * 109.46880 * 214.32030 * 13 12 10 44 44 H 0.97004 * 119.99303 * 184.90698 * 17 16 14 45 45 H 1.08996 * 109.47172 * 35.59868 * 22 12 10 46 46 H 1.08991 * 109.46993 * 155.60496 * 22 12 10 47 47 H 1.08996 * 109.47401 * 185.66097 * 23 22 12 48 48 H 1.09005 * 109.47307 * 305.66504 * 23 22 12 49 49 H 1.08998 * 109.47278 * 299.99903 * 25 24 23 50 50 H 1.09000 * 109.47122 * 60.00414 * 25 24 23 51 51 H 1.09007 * 109.46794 * 180.02562 * 25 24 23 52 52 H 1.09006 * 110.48716 * 93.87409 * 26 8 7 53 53 H 1.08996 * 110.49093 * 216.52715 * 26 8 7 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 6 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 3.5648 1.4444 0.1257 5 6 4.0644 2.8851 0.2511 6 7 1.6524 2.0975 -1.2518 7 6 0.8074 3.2949 -1.3328 8 6 1.0285 3.8599 -2.7535 9 1 0.1048 4.2758 -3.1559 10 6 2.1281 4.8903 -2.7590 11 8 2.7037 5.1684 -1.7284 12 7 2.4720 5.5027 -3.9094 13 6 1.7771 5.1663 -5.1544 14 6 0.6473 6.1382 -5.3775 15 1 -0.3115 5.9683 -4.9100 16 6 0.8390 7.2474 -6.1737 17 7 1.9542 7.3806 -6.8581 18 14 -0.4849 8.5609 -6.2803 19 1 -0.2534 9.5835 -5.2285 20 1 -0.4359 9.2058 -7.6170 21 1 -1.8178 7.9377 -6.0799 22 6 3.5414 6.5040 -3.9148 23 6 2.9673 7.8654 -3.5174 24 8 2.5205 7.8164 -2.1609 25 6 1.9640 9.0445 -1.6875 26 6 1.4524 2.5941 -3.5338 27 6 2.0245 1.6789 -2.4737 28 8 2.7186 0.7090 -2.6941 29 1 -0.3633 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 1.8934 -0.5137 -0.8900 33 1 1.8934 -0.5138 0.8899 34 1 1.6054 1.9816 0.8419 35 1 3.8570 0.8801 1.0113 36 1 4.0029 0.9838 -0.7597 37 1 3.7721 3.4494 -0.6345 38 1 3.6262 3.3459 1.1365 39 1 5.1508 2.8865 0.3403 40 1 1.1152 4.0250 -0.5843 41 1 -0.2399 3.0277 -1.1919 42 1 1.3777 4.1544 -5.0856 43 1 2.4768 5.2248 -5.9881 44 1 2.1200 8.1929 -7.3617 45 1 4.3143 6.2140 -3.2032 46 1 3.9729 6.5692 -4.9135 47 1 3.7389 8.6286 -3.6184 48 1 2.1274 8.1095 -4.1679 49 1 2.7151 9.8319 -1.7504 50 1 1.1034 9.3135 -2.3000 51 1 1.6494 8.9250 -0.6507 52 1 0.5875 2.1321 -4.0102 53 1 2.2119 2.8398 -4.2759 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 ZINC000609136280.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 06:10:04 Heat of formation + Delta-G solvation = -121.485950 kcal Electronic energy + Delta-G solvation = -33127.263394 eV Core-core repulsion = 28999.033110 eV Total energy + Delta-G solvation = -4128.230285 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.15 seconds Orbital eigenvalues (eV) -40.72809 -38.70689 -36.97633 -36.38748 -35.22575 -34.85303 -32.49462 -31.97709 -31.02437 -29.22653 -27.37943 -27.03366 -26.31500 -25.64363 -23.42460 -22.75957 -21.92320 -21.79195 -21.15149 -18.62434 -18.33162 -17.16913 -16.68359 -16.11121 -15.77870 -15.67640 -15.17090 -14.90808 -14.82353 -14.57277 -14.43876 -14.21379 -14.06473 -13.64991 -13.49035 -12.95360 -12.89169 -12.78834 -12.60008 -12.52572 -12.40605 -12.04332 -11.87981 -11.81938 -11.52319 -11.40173 -11.25608 -11.19212 -11.16373 -10.93640 -10.89738 -10.81478 -10.75775 -10.68976 -10.59365 -10.32105 -9.94424 -9.59543 -9.21813 -9.02616 -8.68882 -8.63040 -8.39163 -7.45665 -6.30404 -4.39498 2.89851 3.10586 3.21198 3.23417 3.23582 3.57402 4.03888 4.20940 4.54272 4.56765 4.74504 4.91108 4.97200 5.04084 5.09592 5.24364 5.34641 5.38577 5.51203 5.55009 5.62417 5.69151 5.71150 5.81076 5.85701 5.87018 5.87254 5.95284 6.00710 6.03548 6.05081 6.09356 6.14326 6.16122 6.21237 6.22863 6.25683 6.27448 6.39709 6.51029 6.66349 6.75939 6.83049 6.90272 7.19107 7.42271 7.58744 7.70617 7.93832 8.00872 8.49273 8.57570 8.79384 9.24926 9.31165 10.72460 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014630 B = 0.003898 C = 0.003540 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1913.460135 B = 7182.296037 C = 7907.304384 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.141 4.141 3 C 0.163 3.837 4 C -0.138 4.138 5 C -0.153 4.153 6 N -0.602 5.602 7 C 0.117 3.883 8 C -0.116 4.116 9 H 0.121 0.879 10 C 0.516 3.484 11 O -0.548 6.548 12 N -0.583 5.583 13 C 0.203 3.797 14 C -0.527 4.527 15 H 0.056 0.944 16 C 0.081 3.919 17 N -0.878 5.878 18 Si 0.881 3.119 19 H -0.280 1.280 20 H -0.285 1.285 21 H -0.271 1.271 22 C 0.140 3.860 23 C 0.048 3.952 24 O -0.367 6.367 25 C 0.035 3.965 26 C -0.147 4.147 27 C 0.522 3.478 28 O -0.539 6.539 29 H 0.051 0.949 30 H 0.051 0.949 31 H 0.055 0.945 32 H 0.079 0.921 33 H 0.068 0.932 34 H 0.084 0.916 35 H 0.064 0.936 36 H 0.075 0.925 37 H 0.080 0.920 38 H 0.046 0.954 39 H 0.044 0.956 40 H 0.095 0.905 41 H 0.069 0.931 42 H 0.039 0.961 43 H 0.066 0.934 44 H 0.266 0.734 45 H 0.061 0.939 46 H 0.091 0.909 47 H 0.031 0.969 48 H 0.072 0.928 49 H 0.028 0.972 50 H 0.033 0.967 51 H 0.074 0.926 52 H 0.108 0.892 53 H 0.110 0.890 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.646 -5.959 10.242 11.963 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 -0.204 4.204 2 C -0.179 4.179 3 C 0.061 3.939 4 C -0.176 4.176 5 C -0.210 4.210 6 N -0.336 5.336 7 C -0.006 4.006 8 C -0.138 4.138 9 H 0.139 0.861 10 C 0.303 3.697 11 O -0.427 6.427 12 N -0.314 5.314 13 C 0.085 3.915 14 C -0.566 4.566 15 H 0.074 0.926 16 C -0.124 4.124 17 N -0.515 5.515 18 Si 0.708 3.292 19 H -0.206 1.206 20 H -0.210 1.210 21 H -0.195 1.195 22 C 0.016 3.984 23 C -0.029 4.029 24 O -0.285 6.285 25 C -0.063 4.063 26 C -0.187 4.187 27 C 0.310 3.690 28 O -0.417 6.417 29 H 0.070 0.930 30 H 0.070 0.930 31 H 0.074 0.926 32 H 0.097 0.903 33 H 0.087 0.913 34 H 0.102 0.898 35 H 0.082 0.918 36 H 0.094 0.906 37 H 0.099 0.901 38 H 0.066 0.934 39 H 0.063 0.937 40 H 0.113 0.887 41 H 0.087 0.913 42 H 0.057 0.943 43 H 0.085 0.915 44 H 0.076 0.924 45 H 0.079 0.921 46 H 0.109 0.891 47 H 0.049 0.951 48 H 0.090 0.910 49 H 0.046 0.954 50 H 0.051 0.949 51 H 0.093 0.907 52 H 0.126 0.874 53 H 0.128 0.872 Dipole moment (debyes) X Y Z Total from point charges -0.869 -6.440 10.616 12.447 hybrid contribution -0.946 1.542 -0.356 1.844 sum -1.815 -4.897 10.260 11.513 Atomic orbital electron populations 1.21713 0.95712 1.01273 1.01712 1.21950 0.96213 0.96541 1.03228 1.20996 0.94924 0.92666 0.85347 1.21918 0.94851 0.98383 1.02481 1.21797 0.99912 0.95931 1.03403 1.48234 1.50585 1.28972 1.05800 1.22042 0.93870 0.86732 0.97989 1.22232 1.01115 0.94897 0.95573 0.86125 1.19869 0.83789 0.81999 0.84072 1.90587 1.54655 1.65418 1.32046 1.48921 1.35141 1.37786 1.09563 1.19822 0.93707 0.94982 0.82986 1.21373 0.97715 1.08939 1.28545 0.92587 1.24944 0.95582 0.98132 0.93739 1.69897 1.25388 1.26863 1.29382 0.86783 0.82755 0.82190 0.77500 1.20564 1.21032 1.19545 1.21134 0.89593 0.86717 1.00971 1.23030 0.98811 0.97707 0.83366 1.88082 1.80373 1.31957 1.28070 1.22582 0.96773 0.87624 0.99299 1.22470 1.03743 0.94491 0.97972 1.20852 0.79244 0.84506 0.84373 1.90645 1.38558 1.28495 1.84033 0.93024 0.93022 0.92639 0.90270 0.91303 0.89768 0.91777 0.90617 0.90131 0.93438 0.93662 0.88720 0.91263 0.94267 0.91549 0.92412 0.92076 0.89080 0.95077 0.90977 0.95385 0.94879 0.90697 0.87386 0.87191 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 -0.15 -1.49 9.80 37.16 0.36 -1.13 16 2 C -0.14 -1.62 5.36 -26.73 -0.14 -1.76 16 3 C 0.16 2.06 2.25 -67.93 -0.15 1.90 16 4 C -0.14 -1.86 5.36 -26.73 -0.14 -2.00 16 5 C -0.15 -2.26 9.80 37.16 0.36 -1.90 16 6 N -0.60 -8.54 1.74 -164.84 -0.29 -8.83 16 7 C 0.12 1.60 6.63 -3.12 -0.02 1.58 16 8 C -0.12 -1.83 2.58 -90.15 -0.23 -2.07 16 9 H 0.12 1.87 8.04 -51.93 -0.42 1.45 16 10 C 0.52 10.04 6.59 -10.98 -0.07 9.97 16 11 O -0.55 -11.61 12.14 -11.89 -0.14 -11.76 16 12 N -0.58 -11.91 2.46 -175.07 -0.43 -12.34 16 13 C 0.20 4.30 5.12 -5.20 -0.03 4.27 16 14 C -0.53 -12.30 9.02 -34.44 -0.31 -12.61 16 15 H 0.06 1.31 7.83 -52.48 -0.41 0.90 16 16 C 0.08 1.94 4.00 -17.82 -0.07 1.86 16 17 N -0.88 -21.57 12.76 55.43 0.71 -20.87 16 18 Si 0.88 19.09 29.55 -169.99 -5.02 14.07 16 19 H -0.28 -6.10 7.11 56.52 0.40 -5.70 16 20 H -0.28 -6.22 7.11 56.52 0.40 -5.82 16 21 H -0.27 -5.86 7.11 56.52 0.40 -5.46 16 22 C 0.14 2.84 5.93 -4.04 -0.02 2.81 16 23 C 0.05 0.98 6.28 37.16 0.23 1.22 16 24 O -0.37 -7.57 8.88 -52.68 -0.47 -8.03 16 25 C 0.03 0.58 11.01 101.05 1.11 1.69 16 26 C -0.15 -2.22 5.08 -26.74 -0.14 -2.35 16 27 C 0.52 8.53 7.37 -10.86 -0.08 8.45 16 28 O -0.54 -10.25 15.02 5.55 0.08 -10.17 16 29 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 30 H 0.05 0.47 8.14 -51.93 -0.42 0.04 16 31 H 0.05 0.62 7.75 -51.93 -0.40 0.21 16 32 H 0.08 1.11 6.62 -51.93 -0.34 0.76 16 33 H 0.07 0.68 8.14 -51.93 -0.42 0.25 16 34 H 0.08 0.96 8.07 -51.93 -0.42 0.54 16 35 H 0.06 0.73 8.14 -51.93 -0.42 0.30 16 36 H 0.08 1.21 6.65 -51.93 -0.35 0.86 16 37 H 0.08 1.45 5.95 -51.93 -0.31 1.14 16 38 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 39 H 0.04 0.64 8.14 -51.93 -0.42 0.21 16 40 H 0.09 1.43 7.02 -51.93 -0.36 1.06 16 41 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 42 H 0.04 0.75 4.48 -51.93 -0.23 0.51 16 43 H 0.07 1.54 7.00 -51.93 -0.36 1.18 16 44 H 0.27 6.34 8.32 -40.82 -0.34 6.00 16 45 H 0.06 1.24 7.60 -51.93 -0.39 0.85 16 46 H 0.09 1.86 7.87 -51.93 -0.41 1.45 16 47 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 48 H 0.07 1.64 6.21 -51.93 -0.32 1.32 16 49 H 0.03 0.42 8.14 -51.93 -0.42 -0.01 16 50 H 0.03 0.56 8.14 -51.93 -0.42 0.14 16 51 H 0.07 1.11 8.14 -51.93 -0.42 0.68 16 52 H 0.11 1.39 8.14 -51.93 -0.42 0.97 16 53 H 0.11 1.82 6.36 -51.93 -0.33 1.49 16 LS Contribution 409.52 15.07 6.17 6.17 Total: -1.00 -27.66 409.52 -8.00 -35.66 By element: Atomic # 1 Polarization: 15.42 SS G_CDS: -9.27 Total: 6.15 kcal Atomic # 6 Polarization: 9.29 SS G_CDS: 0.66 Total: 9.95 kcal Atomic # 7 Polarization: -42.03 SS G_CDS: -0.01 Total: -42.04 kcal Atomic # 8 Polarization: -29.43 SS G_CDS: -0.53 Total: -29.96 kcal Atomic # 14 Polarization: 19.09 SS G_CDS: -5.02 Total: 14.07 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -27.66 -8.00 -35.66 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. ZINC000609136280.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 -85.822 kcal (2) G-P(sol) polarization free energy of solvation -27.661 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.483 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.002 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.664 kcal (6) G-S(sol) free energy of system = (1) + (5) -121.486 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.15 seconds