Wall clock time and date at job start Wed Apr 1 2020 00:18:57 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 1.52997 * 1 3 3 H 1.09004 * 109.50887 * 2 1 4 4 C 1.53100 * 109.51076 * 120.13845 * 2 1 3 5 5 N 1.47015 * 109.29023 * 176.81248 * 4 2 1 6 6 C 1.46897 * 110.99896 * 177.59707 * 5 4 2 7 7 C 1.53002 * 109.47305 * 313.62448 * 6 5 4 8 8 C 1.50706 * 109.47111 * 180.02562 * 7 6 5 9 9 O 1.21286 * 119.99742 * 0.02562 * 8 7 6 10 10 N 1.34768 * 120.00003 * 180.02562 * 8 7 6 11 11 C 1.46506 * 120.00014 * 359.97438 * 10 8 7 12 12 C 1.46496 * 120.00037 * 180.02562 * 10 8 7 13 13 C 1.50700 * 109.47637 * 89.99910 * 12 10 8 14 14 H 1.08003 * 119.99272 * 0.02562 * 13 12 10 15 15 C 1.37873 * 120.00483 * 179.97438 * 13 12 10 16 16 N 1.31519 * 119.99727 * 0.02562 * 15 13 12 17 17 Si 1.86791 * 120.00190 * 179.97438 * 15 13 12 18 18 H 1.48503 * 109.47343 * 90.00346 * 17 15 13 19 19 H 1.48504 * 109.47394 * 210.00430 * 17 15 13 20 20 H 1.48502 * 109.47149 * 330.00067 * 17 15 13 21 21 C 1.47027 * 110.74532 * 301.36898 * 5 4 2 22 22 C 1.53010 * 109.25516 * 58.49912 * 21 5 4 23 23 C 1.53086 * 109.54761 * 183.22701 * 22 21 5 24 24 C 1.53198 * 109.02676 * 183.06848 * 23 22 21 25 25 C 1.53095 * 109.15245 * 56.88495 * 24 23 22 26 26 O 1.42894 * 109.45144 * 302.38242 * 25 24 23 27 27 C 1.42923 * 114.08650 * 61.16944 * 26 25 24 28 28 O 1.42938 * 109.41483 * 303.27271 * 22 21 5 29 29 H 1.09002 * 109.47153 * 180.09288 * 1 2 3 30 30 H 1.09001 * 109.46832 * 60.09479 * 1 2 3 31 31 H 1.09004 * 109.47261 * 300.09460 * 1 2 3 32 32 H 1.09000 * 109.50646 * 296.75826 * 4 2 1 33 33 H 1.09006 * 109.50075 * 56.87110 * 4 2 1 34 34 H 1.08997 * 109.47627 * 73.62812 * 6 5 4 35 35 H 1.09012 * 109.46965 * 193.62928 * 6 5 4 36 36 H 1.08997 * 109.47324 * 300.00212 * 7 6 5 37 37 H 1.08995 * 109.46904 * 60.00284 * 7 6 5 38 38 H 1.08996 * 109.47033 * 90.00327 * 11 10 8 39 39 H 1.08997 * 109.47229 * 210.00268 * 11 10 8 40 40 H 1.08997 * 109.47203 * 329.99888 * 11 10 8 41 41 H 1.09006 * 109.47201 * 209.99689 * 12 10 8 42 42 H 1.08997 * 109.47127 * 329.99614 * 12 10 8 43 43 H 0.96997 * 119.99927 * 179.97438 * 16 15 13 44 44 H 1.09000 * 109.50834 * 298.56349 * 21 5 4 45 45 H 1.09007 * 109.50945 * 178.42891 * 21 5 4 46 46 H 1.09003 * 109.54529 * 302.93271 * 23 22 21 47 47 H 1.09005 * 109.54531 * 63.20575 * 23 22 21 48 48 H 1.09005 * 109.52435 * 176.78680 * 24 23 22 49 49 H 1.08998 * 109.52118 * 296.98393 * 24 23 22 50 50 H 1.09002 * 109.46963 * 62.37583 * 25 24 23 51 51 H 1.08999 * 109.47287 * 182.38582 * 25 24 23 52 52 H 1.08998 * 109.48180 * 178.95417 * 27 26 25 53 53 H 1.08996 * 109.48301 * 58.91039 * 27 26 25 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 1 1.8940 1.0275 0.0000 4 6 2.0413 -0.7246 1.2480 5 7 3.5094 -0.7888 1.2050 6 6 4.0440 -1.4277 2.4149 7 6 3.3586 -0.8372 3.6488 8 6 3.9076 -1.4923 4.8901 9 8 4.7632 -2.3469 4.7969 10 7 3.4478 -1.1285 6.1035 11 6 2.4148 -0.0957 6.2160 12 6 3.9819 -1.7648 7.3102 13 6 5.1715 -0.9836 7.8057 14 1 5.4969 -0.1010 7.2750 15 6 5.8438 -1.3949 8.9370 16 7 5.4471 -2.4693 9.5834 17 14 7.3188 -0.4269 9.5507 18 1 6.8638 0.6181 10.5027 19 1 8.2626 -1.3451 10.2374 20 1 8.0027 0.2158 8.3998 21 6 3.9649 -1.4883 -0.0054 22 6 3.4328 -0.7583 -1.2404 23 6 3.8354 -1.5260 -2.5022 24 6 3.3637 -0.7457 -3.7333 25 6 3.9596 0.6640 -3.6933 26 8 3.5702 1.3109 -2.4801 27 6 4.0242 0.6519 -1.2959 28 8 2.0077 -0.6759 -1.1664 29 1 -0.3633 -1.0277 0.0017 30 1 -0.3633 0.5124 -0.8909 31 1 -0.3634 0.5153 0.8892 32 1 1.7268 -0.1810 2.1389 33 1 1.6335 -1.7351 1.2748 34 1 3.8555 -2.5004 2.3730 35 1 5.1178 -1.2496 2.4756 36 1 3.5472 0.2355 3.6908 37 1 2.2851 -1.0153 3.5881 38 1 1.4301 -0.5620 6.1845 39 1 2.5346 0.4368 7.1595 40 1 2.5111 0.6063 5.3879 41 1 3.2124 -1.7834 8.0821 42 1 4.2882 -2.7847 7.0779 43 1 5.9203 -2.7589 10.3791 44 1 3.5894 -2.5115 0.0025 45 1 5.0546 -1.4999 -0.0308 46 1 4.9196 -1.6345 -2.5326 47 1 3.3690 -2.5111 -2.4941 48 1 3.6960 -1.2561 -4.6374 49 1 2.2756 -0.6815 -3.7290 50 1 5.0468 0.6003 -3.7384 51 1 3.5934 1.2375 -4.5447 52 1 3.7029 1.2157 -0.4202 53 1 5.1123 0.5894 -1.3092 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 ZINC000366575178.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:18:57 Heat of formation + Delta-G solvation = -120.275886 kcal Electronic energy + Delta-G solvation = -31348.916551 eV Core-core repulsion = 27220.738739 eV Total energy + Delta-G solvation = -4128.177812 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.08 seconds Orbital eigenvalues (eV) -40.96590 -39.16039 -38.25673 -36.11807 -34.80811 -34.30986 -32.67675 -32.36329 -31.43286 -29.76496 -27.78434 -27.04945 -26.01109 -25.50442 -25.21782 -23.21780 -22.55898 -21.72221 -20.65601 -19.79060 -18.39023 -17.08652 -16.83097 -16.56062 -16.43102 -16.04732 -15.75910 -15.58476 -15.30082 -15.08506 -14.89551 -14.76556 -14.17057 -14.08868 -13.77136 -13.52975 -13.19898 -12.95240 -12.83201 -12.65581 -12.46525 -12.34250 -12.21556 -12.18175 -12.02304 -11.87962 -11.83167 -11.57081 -11.37012 -11.22756 -11.11248 -10.93779 -10.86088 -10.79304 -10.57735 -10.49508 -10.16958 -9.96927 -9.63989 -9.35877 -8.92349 -8.50202 -8.44753 -7.66275 -6.05452 -4.10257 3.29214 3.32070 3.35299 3.37603 3.43629 3.50389 3.68632 4.05589 4.37346 4.42446 4.44117 4.46349 4.62522 4.67402 4.81694 4.86492 4.97592 5.05615 5.09171 5.13176 5.17761 5.24612 5.24753 5.27022 5.30056 5.36500 5.40441 5.46597 5.49277 5.52937 5.57745 5.63962 5.67780 5.73251 5.78630 5.84934 5.89491 5.95549 5.98463 6.01996 6.10677 6.20072 6.75985 6.80133 6.88974 7.04024 7.12234 7.42485 7.52306 7.90864 8.22164 8.39791 8.88771 9.07357 9.54888 11.02669 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020023 B = 0.002257 C = 0.002158 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1398.029526 B =12405.459631 C =12971.017243 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C 0.087 3.913 3 H 0.070 0.930 4 C 0.014 3.986 5 N -0.537 5.537 6 C 0.073 3.927 7 C -0.142 4.142 8 C 0.505 3.495 9 O -0.544 6.544 10 N -0.603 5.603 11 C 0.083 3.917 12 C 0.245 3.755 13 C -0.525 4.525 14 H 0.057 0.943 15 C 0.060 3.940 16 N -0.895 5.895 17 Si 0.899 3.101 18 H -0.280 1.280 19 H -0.285 1.285 20 H -0.274 1.274 21 C 0.031 3.969 22 C 0.093 3.907 23 C -0.108 4.108 24 C -0.151 4.151 25 C 0.058 3.942 26 O -0.375 6.375 27 C 0.046 3.954 28 O -0.362 6.362 29 H 0.061 0.939 30 H 0.065 0.935 31 H 0.073 0.927 32 H 0.093 0.907 33 H 0.043 0.957 34 H 0.044 0.956 35 H 0.087 0.913 36 H 0.096 0.904 37 H 0.086 0.914 38 H 0.043 0.957 39 H 0.074 0.926 40 H 0.058 0.942 41 H 0.032 0.968 42 H 0.043 0.957 43 H 0.263 0.737 44 H 0.047 0.953 45 H 0.087 0.913 46 H 0.078 0.922 47 H 0.075 0.925 48 H 0.072 0.928 49 H 0.079 0.921 50 H 0.048 0.952 51 H 0.092 0.908 52 H 0.109 0.891 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.055 6.006 -25.392 27.619 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 -0.200 4.200 2 C 0.029 3.971 3 H 0.088 0.912 4 C -0.114 4.114 5 N -0.262 5.262 6 C -0.054 4.054 7 C -0.182 4.182 8 C 0.291 3.709 9 O -0.423 6.423 10 N -0.335 5.335 11 C -0.061 4.061 12 C 0.125 3.875 13 C -0.564 4.564 14 H 0.075 0.925 15 C -0.142 4.142 16 N -0.534 5.534 17 Si 0.726 3.274 18 H -0.206 1.206 19 H -0.211 1.211 20 H -0.199 1.199 21 C -0.097 4.097 22 C 0.053 3.947 23 C -0.146 4.146 24 C -0.188 4.188 25 C -0.018 4.018 26 O -0.294 6.294 27 C -0.031 4.031 28 O -0.282 6.282 29 H 0.080 0.920 30 H 0.084 0.916 31 H 0.092 0.908 32 H 0.111 0.889 33 H 0.062 0.938 34 H 0.062 0.938 35 H 0.106 0.894 36 H 0.114 0.886 37 H 0.104 0.896 38 H 0.062 0.938 39 H 0.092 0.908 40 H 0.076 0.924 41 H 0.050 0.950 42 H 0.061 0.939 43 H 0.073 0.927 44 H 0.066 0.934 45 H 0.106 0.894 46 H 0.097 0.903 47 H 0.094 0.906 48 H 0.090 0.910 49 H 0.098 0.902 50 H 0.066 0.934 51 H 0.110 0.890 52 H 0.127 0.873 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges -8.611 6.002 -25.394 27.478 hybrid contribution 0.813 -0.512 0.855 1.286 sum -7.798 5.490 -24.539 26.327 Atomic orbital electron populations 1.21724 0.92782 1.02829 1.02686 1.22189 0.94747 0.96042 0.84105 0.91188 1.22996 0.88317 1.00510 0.99594 1.62330 1.08751 1.52832 1.02266 1.21864 1.00356 0.96479 0.86733 1.21796 1.01029 1.02149 0.93255 1.20242 0.82722 0.83407 0.84550 1.90670 1.31861 1.33141 1.86593 1.48160 1.38907 1.38766 1.07666 1.21639 0.90483 0.91181 1.02772 1.19287 0.93854 0.94405 0.79913 1.21426 1.13341 1.11544 1.10123 0.92478 1.24947 0.97557 0.95167 0.96531 1.69935 1.40947 1.23629 1.18922 0.86486 0.82423 0.79648 0.78805 1.20630 1.21081 1.19873 1.22694 1.01285 0.96151 0.89598 1.22040 0.82349 0.95768 0.94577 1.21566 1.01132 0.99265 0.92657 1.22116 1.02734 0.96246 0.97737 1.22583 0.98244 0.93329 0.87693 1.87967 1.77567 1.50298 1.13518 1.23096 0.98244 0.93211 0.88582 1.88000 1.19358 1.77990 1.42813 0.92018 0.91593 0.90841 0.88932 0.93844 0.93760 0.89419 0.88591 0.89599 0.93827 0.90760 0.92376 0.95050 0.93891 0.92715 0.93444 0.89437 0.90315 0.90606 0.90956 0.90217 0.93416 0.89030 0.87287 0.92411 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 -0.14 -1.14 9.57 37.16 0.36 -0.79 16 2 C 0.09 0.85 3.03 -26.68 -0.08 0.77 16 3 H 0.07 0.72 6.45 -51.93 -0.34 0.38 16 4 C 0.01 0.14 4.22 -3.71 -0.02 0.13 16 5 N -0.54 -6.12 4.30 -234.34 -1.01 -7.13 16 6 C 0.07 1.01 4.57 -3.82 -0.02 0.99 16 7 C -0.14 -2.02 3.52 -27.88 -0.10 -2.12 16 8 C 0.50 10.31 7.67 -10.99 -0.08 10.22 16 9 O -0.54 -13.56 15.56 5.55 0.09 -13.48 16 10 N -0.60 -12.71 2.86 -182.96 -0.52 -13.23 16 11 C 0.08 1.29 10.24 59.85 0.61 1.90 16 12 C 0.24 6.43 5.16 -5.20 -0.03 6.40 16 13 C -0.53 -14.97 9.39 -34.44 -0.32 -15.29 16 14 H 0.06 1.62 7.81 -52.48 -0.41 1.21 16 15 C 0.06 1.72 5.46 -17.82 -0.10 1.62 16 16 N -0.90 -26.72 13.29 55.43 0.74 -25.98 16 17 Si 0.90 21.93 29.54 -169.99 -5.02 16.91 16 18 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 19 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 20 H -0.27 -6.67 7.11 56.52 0.40 -6.26 16 21 C 0.03 0.33 4.32 -3.75 -0.02 0.31 16 22 C 0.09 0.91 0.71 -90.56 -0.06 0.85 16 23 C -0.11 -0.88 5.04 -26.58 -0.13 -1.01 16 24 C -0.15 -1.13 5.98 -26.58 -0.16 -1.29 16 25 C 0.06 0.46 6.84 37.21 0.25 0.71 16 26 O -0.38 -4.06 10.70 -42.65 -0.46 -4.51 16 27 C 0.05 0.46 5.16 37.17 0.19 0.65 16 28 O -0.36 -4.02 9.34 -42.65 -0.40 -4.42 16 29 H 0.06 0.50 8.14 -51.93 -0.42 0.08 16 30 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 31 H 0.07 0.48 8.14 -51.93 -0.42 0.05 16 32 H 0.09 0.87 6.05 -51.93 -0.31 0.55 16 33 H 0.04 0.48 8.14 -51.93 -0.42 0.06 16 34 H 0.04 0.67 8.04 -51.93 -0.42 0.25 16 35 H 0.09 1.33 8.10 -51.92 -0.42 0.91 16 36 H 0.10 1.25 7.40 -51.93 -0.38 0.87 16 37 H 0.09 1.04 6.24 -51.93 -0.32 0.71 16 38 H 0.04 0.58 8.14 -51.93 -0.42 0.15 16 39 H 0.07 1.19 8.07 -51.93 -0.42 0.78 16 40 H 0.06 0.72 6.44 -51.93 -0.33 0.39 16 41 H 0.03 0.83 8.07 -51.93 -0.42 0.41 16 42 H 0.04 1.27 7.42 -51.93 -0.39 0.89 16 43 H 0.26 7.41 8.31 -40.82 -0.34 7.07 16 44 H 0.05 0.53 8.14 -51.93 -0.42 0.10 16 45 H 0.09 0.86 8.14 -51.92 -0.42 0.43 16 46 H 0.08 0.53 8.14 -51.93 -0.42 0.11 16 47 H 0.08 0.62 8.14 -51.93 -0.42 0.19 16 48 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 49 H 0.08 0.71 7.83 -51.93 -0.41 0.30 16 50 H 0.05 0.33 8.14 -51.93 -0.42 -0.10 16 51 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 52 H 0.11 1.17 6.09 -51.93 -0.32 0.86 16 53 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 LS Contribution 405.97 15.07 6.12 6.12 Total: -1.00 -33.89 405.97 -9.69 -43.58 By element: Atomic # 1 Polarization: 7.59 SS G_CDS: -9.52 Total: -1.93 kcal Atomic # 6 Polarization: 3.78 SS G_CDS: 0.30 Total: 4.08 kcal Atomic # 7 Polarization: -45.55 SS G_CDS: -0.79 Total: -46.34 kcal Atomic # 8 Polarization: -21.64 SS G_CDS: -0.77 Total: -22.41 kcal Atomic # 14 Polarization: 21.93 SS G_CDS: -5.02 Total: 16.91 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -33.89 -9.69 -43.58 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. ZINC000366575178.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 -76.697 kcal (2) G-P(sol) polarization free energy of solvation -33.894 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.591 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.685 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.579 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.276 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.08 seconds