Wall clock time and date at job start Sat Apr 11 2020 06:11:45 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 1.42898 * 1 3 3 C 1.42903 * 113.99921 * 2 1 4 4 C 1.53000 * 109.47001 * 180.02562 * 3 2 1 5 5 C 1.52996 * 109.47243 * 179.97438 * 4 3 2 6 6 C 1.50701 * 109.47275 * 180.02562 * 5 4 3 7 7 O 1.21276 * 119.99938 * 359.97438 * 6 5 4 8 8 N 1.34775 * 119.99998 * 180.02562 * 6 5 4 9 9 C 1.46935 * 120.58809 * 180.02562 * 8 6 5 10 10 C 1.53286 * 108.71973 * 125.79917 * 9 8 6 11 11 C 1.52429 * 109.41681 * 53.71646 * 10 9 8 12 12 C 1.53597 * 110.44215 * 62.97552 * 11 10 9 13 13 O 1.43888 * 107.11679 * 120.49842 * 12 11 10 14 14 C 1.44429 * 106.99536 * 333.63115 * 13 12 11 15 15 H 1.09004 * 110.60598 * 281.07693 * 14 13 12 16 16 C 1.52999 * 110.60924 * 158.26618 * 14 13 12 17 17 N 1.46498 * 109.47072 * 66.45258 * 16 14 13 18 18 C 1.36943 * 119.99727 * 180.02562 * 17 16 14 19 19 H 1.07998 * 120.00392 * 359.97438 * 18 17 16 20 20 C 1.38811 * 119.99586 * 179.97438 * 18 17 16 21 21 N 1.31618 * 120.00460 * 0.02562 * 20 18 17 22 22 Si 1.86798 * 119.99694 * 179.97438 * 20 18 17 23 23 H 1.48506 * 109.47297 * 179.97438 * 22 20 18 24 24 H 1.48503 * 109.47261 * 60.00129 * 22 20 18 25 25 H 1.48500 * 109.47454 * 300.00122 * 22 20 18 26 26 C 1.54319 * 110.03985 * 178.05524 * 11 10 9 27 27 C 1.52419 * 110.98055 * 300.12278 * 11 10 9 28 28 C 1.46936 * 120.58690 * 359.97438 * 8 6 5 29 29 H 1.08998 * 109.47050 * 59.99703 * 1 2 3 30 30 H 1.08993 * 109.47179 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.47220 * 300.00136 * 1 2 3 32 32 H 1.08998 * 109.47447 * 60.00380 * 3 2 1 33 33 H 1.09000 * 109.47258 * 299.99689 * 3 2 1 34 34 H 1.09004 * 109.46882 * 60.00349 * 4 3 2 35 35 H 1.08996 * 109.47394 * 300.00314 * 4 3 2 36 36 H 1.08998 * 109.47293 * 60.00249 * 5 4 3 37 37 H 1.09004 * 109.47407 * 300.00158 * 5 4 3 38 38 H 1.08997 * 109.59069 * 6.02441 * 9 8 6 39 39 H 1.09005 * 109.59293 * 245.57009 * 9 8 6 40 40 H 1.08998 * 109.47837 * 293.73202 * 10 9 8 41 41 H 1.08996 * 109.48869 * 173.70953 * 10 9 8 42 42 H 1.09000 * 109.91332 * 1.12600 * 12 11 10 43 43 H 1.09003 * 110.06685 * 239.94965 * 12 11 10 44 44 H 1.09000 * 109.46925 * 306.45082 * 16 14 13 45 45 H 1.09007 * 109.47238 * 186.45107 * 16 14 13 46 46 H 0.96998 * 120.00095 * 359.97438 * 17 16 14 47 47 H 0.97001 * 119.99952 * 359.97438 * 21 20 18 48 48 H 1.08998 * 110.93120 * 143.79105 * 26 11 10 49 49 H 1.08997 * 110.92953 * 20.12586 * 26 11 10 50 50 H 1.09005 * 109.47621 * 179.84409 * 27 11 10 51 51 H 1.08998 * 109.48612 * 299.88346 * 27 11 10 52 52 H 1.09000 * 109.59545 * 353.96394 * 28 8 6 53 53 H 1.09003 * 109.59165 * 114.42286 * 28 8 6 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 4.1578 2.5823 -0.0013 6 6 5.6601 2.4633 -0.0026 7 8 6.1816 1.3685 -0.0024 8 7 6.4240 3.5737 -0.0028 9 6 7.8899 3.4727 -0.0046 10 6 8.4376 4.2868 -1.1822 11 6 7.8910 5.7081 -1.1135 12 6 8.3745 6.4076 0.1656 13 8 9.1147 7.5720 -0.2425 14 6 9.6359 7.3000 -1.5617 15 1 10.5203 6.6658 -1.5016 16 6 9.9596 8.6047 -2.2924 17 7 11.0694 9.2808 -1.6160 18 6 11.5363 10.4762 -2.0939 19 1 11.0866 10.9204 -2.9696 20 6 12.5875 11.1169 -1.4528 21 7 13.1359 10.5754 -0.3858 22 14 13.2248 12.7472 -2.1051 23 1 14.3419 13.2205 -1.2486 24 1 12.1294 13.7497 -2.0875 25 1 13.7095 12.5680 -3.4972 26 6 8.4721 6.5544 -2.2657 27 6 6.3682 5.7108 -1.1793 28 6 5.8057 4.9066 -0.0024 29 1 -0.3633 0.5139 -0.8899 30 1 -0.3633 -1.0276 -0.0005 31 1 -0.3634 0.5139 0.8900 32 1 1.6887 1.8464 0.8900 33 1 1.6886 1.8464 -0.8900 34 1 3.8567 0.6440 -0.8909 35 1 3.8574 0.6436 0.8890 36 1 3.8366 3.1235 0.8887 37 1 3.8357 3.1231 -0.8913 38 1 8.1842 2.4289 -0.1133 39 1 8.2848 3.8707 0.9302 40 1 8.1289 3.8235 -2.1193 41 1 9.5261 4.3131 -1.1311 42 1 9.0199 5.7377 0.7337 43 1 7.5208 6.7051 0.7746 44 1 9.0823 9.2517 -2.2866 45 1 10.2417 8.3843 -3.3220 46 1 11.4731 8.8820 -0.8293 47 1 12.8052 9.7287 -0.0473 48 1 7.7309 7.2583 -2.6440 49 1 8.8461 5.9169 -3.0668 50 1 6.0040 6.7368 -1.1256 51 1 6.0439 5.2583 -2.1164 52 1 4.7255 4.8086 -0.1099 53 1 6.0375 5.4168 0.9326 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 ZINC001734208135.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 06:11:45 Heat of formation + Delta-G solvation = -124.110795 kcal Electronic energy + Delta-G solvation = -30100.347185 eV Core-core repulsion = 25972.003079 eV Total energy + Delta-G solvation = -4128.344107 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.10276 -39.68809 -38.37564 -37.06155 -34.78149 -34.22247 -33.49778 -31.73264 -31.66254 -29.57932 -28.44266 -27.13934 -26.08996 -25.19323 -23.92925 -23.69939 -22.56630 -22.04722 -20.85202 -20.16708 -18.59213 -17.56368 -17.22116 -16.88149 -16.85011 -16.20509 -16.10631 -15.94890 -15.56515 -15.26151 -15.11321 -14.68789 -14.48175 -14.07620 -13.84543 -13.75596 -13.61102 -13.38704 -13.15318 -13.06220 -12.77737 -12.54533 -12.40677 -12.22709 -12.13552 -11.96523 -11.66307 -11.54980 -11.47138 -11.38239 -11.28394 -10.73248 -10.70179 -10.55682 -10.53467 -10.47038 -10.15940 -10.07923 -9.93678 -9.40040 -9.11795 -8.95474 -8.85047 -6.94512 -6.05143 -3.03913 2.28675 2.55367 3.28356 3.54022 3.58318 3.75744 3.98712 4.06698 4.22742 4.29714 4.45447 4.51610 4.59155 4.66232 4.70608 4.75116 4.79546 4.81005 4.88268 4.91531 4.93015 4.94613 4.98663 5.05652 5.14760 5.17253 5.20528 5.24742 5.34471 5.39934 5.47851 5.60965 5.63984 5.64681 5.67612 5.71735 5.78551 5.80314 5.84186 5.93094 5.99968 6.02689 6.16138 6.20377 6.50200 6.66886 6.68098 7.02691 7.21778 7.82900 7.84119 8.82006 9.29441 10.15944 10.31455 11.43777 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.037145 B = 0.001669 C = 0.001641 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 753.612505 B =16768.320105 C =17063.066980 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.031 3.969 2 O -0.392 6.392 3 C 0.061 3.939 4 C -0.105 4.105 5 C -0.138 4.138 6 C 0.516 3.484 7 O -0.540 6.540 8 N -0.611 5.611 9 C 0.109 3.891 10 C -0.120 4.120 11 C -0.091 4.091 12 C 0.053 3.947 13 O -0.359 6.359 14 C 0.072 3.928 15 H 0.067 0.933 16 C 0.166 3.834 17 N -0.740 5.740 18 C -0.333 4.333 19 H 0.063 0.937 20 C -0.045 4.045 21 N -0.943 5.943 22 Si 1.081 2.919 23 H -0.285 1.285 24 H -0.296 1.296 25 H -0.295 1.295 26 C -0.137 4.137 27 C -0.119 4.119 28 C 0.102 3.898 29 H 0.041 0.959 30 H 0.086 0.914 31 H 0.041 0.959 32 H 0.050 0.950 33 H 0.050 0.950 34 H 0.079 0.921 35 H 0.079 0.921 36 H 0.095 0.905 37 H 0.096 0.904 38 H 0.095 0.905 39 H 0.071 0.929 40 H 0.070 0.930 41 H 0.080 0.920 42 H 0.056 0.944 43 H 0.079 0.921 44 H 0.026 0.974 45 H 0.031 0.969 46 H 0.370 0.630 47 H 0.256 0.744 48 H 0.080 0.920 49 H 0.079 0.921 50 H 0.083 0.917 51 H 0.071 0.929 52 H 0.087 0.913 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.213 -18.976 0.257 31.557 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 -0.065 4.065 2 O -0.310 6.310 3 C -0.016 4.016 4 C -0.143 4.143 5 C -0.177 4.177 6 C 0.304 3.696 7 O -0.417 6.417 8 N -0.345 5.345 9 C -0.014 4.014 10 C -0.158 4.158 11 C -0.092 4.092 12 C -0.024 4.024 13 O -0.278 6.278 14 C 0.014 3.986 15 H 0.085 0.915 16 C 0.038 3.962 17 N -0.385 5.385 18 C -0.464 4.464 19 H 0.081 0.919 20 C -0.243 4.243 21 N -0.589 5.589 22 Si 0.912 3.088 23 H -0.210 1.210 24 H -0.223 1.223 25 H -0.223 1.223 26 C -0.175 4.175 27 C -0.157 4.157 28 C -0.020 4.020 29 H 0.060 0.940 30 H 0.105 0.895 31 H 0.060 0.940 32 H 0.068 0.932 33 H 0.068 0.932 34 H 0.098 0.902 35 H 0.098 0.902 36 H 0.114 0.886 37 H 0.114 0.886 38 H 0.113 0.887 39 H 0.089 0.911 40 H 0.089 0.911 41 H 0.099 0.901 42 H 0.074 0.926 43 H 0.098 0.902 44 H 0.044 0.956 45 H 0.049 0.951 46 H 0.203 0.797 47 H 0.067 0.933 48 H 0.099 0.901 49 H 0.098 0.902 50 H 0.102 0.898 51 H 0.090 0.910 52 H 0.106 0.894 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -23.764 -18.215 0.427 29.945 hybrid contribution -1.360 -1.117 -0.187 1.770 sum -25.124 -19.332 0.239 31.702 Atomic orbital electron populations 1.22754 0.80874 1.02900 1.00004 1.87893 1.19803 1.27933 1.95417 1.22548 0.94009 0.84807 1.00214 1.21229 0.92213 0.95760 1.05050 1.21582 0.92183 0.99436 1.04547 1.20577 0.89457 0.83775 0.75746 1.90713 1.74965 1.26272 1.49750 1.48133 1.06918 1.06034 1.73391 1.21688 0.78914 1.02188 0.98568 1.21905 1.01071 0.93896 0.98908 1.21490 0.95617 0.95621 0.96454 1.23258 0.95728 0.88192 0.95266 1.89084 1.69620 1.36177 1.32891 1.23459 0.94991 0.97527 0.82622 0.91522 1.20633 0.91692 0.89866 0.93970 1.42276 1.38179 1.24383 1.33692 1.20031 1.16164 0.98665 1.11514 0.91851 1.25778 0.96101 1.05024 0.97403 1.70856 1.43949 1.20136 1.23961 0.83236 0.76052 0.74701 0.74836 1.21020 1.22308 1.22300 1.23177 0.98456 0.98557 0.97292 1.21874 0.94354 1.00943 0.98564 1.21893 0.98018 0.82667 0.99453 0.94021 0.89538 0.94016 0.93194 0.93207 0.90249 0.90231 0.88621 0.88616 0.88712 0.91108 0.91082 0.90137 0.92620 0.90237 0.95621 0.95123 0.79656 0.93303 0.90099 0.90230 0.89832 0.91044 0.89422 0.90707 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 0.16 11.01 101.05 1.11 1.27 16 2 O -0.39 -3.31 10.70 -35.23 -0.38 -3.69 16 3 C 0.06 0.38 5.94 37.16 0.22 0.60 16 4 C -0.10 -0.78 4.87 -26.73 -0.13 -0.91 16 5 C -0.14 -0.82 4.04 -27.88 -0.11 -0.93 16 6 C 0.52 4.95 7.70 -10.99 -0.08 4.86 16 7 O -0.54 -7.33 15.39 5.56 0.09 -7.25 16 8 N -0.61 -5.18 2.96 -172.66 -0.51 -5.69 16 9 C 0.11 1.01 6.13 -3.66 -0.02 0.99 16 10 C -0.12 -1.11 4.59 -26.88 -0.12 -1.23 16 11 C -0.09 -0.90 0.61 -154.10 -0.09 -1.00 16 12 C 0.05 0.65 6.15 37.47 0.23 0.88 16 13 O -0.36 -6.35 11.22 -35.23 -0.40 -6.74 16 14 C 0.07 1.19 3.38 -25.62 -0.09 1.10 16 15 H 0.07 1.13 8.14 -51.93 -0.42 0.70 16 16 C 0.17 3.47 6.00 -4.04 -0.02 3.44 16 17 N -0.74 -19.62 5.59 -59.91 -0.33 -19.95 16 18 C -0.33 -9.75 9.99 -15.06 -0.15 -9.90 16 19 H 0.06 1.81 7.83 -52.49 -0.41 1.40 16 20 C -0.05 -1.36 5.50 -17.43 -0.10 -1.46 16 21 N -0.94 -30.07 13.70 55.49 0.76 -29.31 16 22 Si 1.08 26.43 29.92 -169.99 -5.09 21.35 16 23 H -0.28 -7.04 7.11 56.52 0.40 -6.64 16 24 H -0.30 -6.90 7.11 56.52 0.40 -6.50 16 25 H -0.30 -6.86 7.11 56.52 0.40 -6.46 16 26 C -0.14 -1.63 5.67 -24.92 -0.14 -1.77 16 27 C -0.12 -0.90 4.62 -26.90 -0.12 -1.02 16 28 C 0.10 0.65 6.03 -3.68 -0.02 0.62 16 29 H 0.04 0.17 8.14 -51.93 -0.42 -0.25 16 30 H 0.09 0.36 8.14 -51.93 -0.42 -0.07 16 31 H 0.04 0.17 8.14 -51.93 -0.42 -0.25 16 32 H 0.05 0.25 8.14 -51.93 -0.42 -0.18 16 33 H 0.05 0.25 8.14 -51.93 -0.42 -0.18 16 34 H 0.08 0.72 8.10 -51.93 -0.42 0.30 16 35 H 0.08 0.71 8.10 -51.93 -0.42 0.29 16 36 H 0.10 0.39 7.93 -51.93 -0.41 -0.02 16 37 H 0.10 0.40 7.70 -51.93 -0.40 0.00 16 38 H 0.09 1.00 7.00 -51.93 -0.36 0.64 16 39 H 0.07 0.63 6.90 -51.93 -0.36 0.28 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 41 H 0.08 0.78 8.14 -51.93 -0.42 0.35 16 42 H 0.06 0.66 6.61 -51.93 -0.34 0.32 16 43 H 0.08 0.86 6.46 -51.93 -0.34 0.52 16 44 H 0.03 0.56 8.14 -51.93 -0.42 0.13 16 45 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 46 H 0.37 10.18 6.50 -40.82 -0.27 9.92 16 47 H 0.26 8.10 6.77 -40.82 -0.28 7.82 16 48 H 0.08 0.95 7.75 -51.93 -0.40 0.54 16 49 H 0.08 0.86 7.83 -51.93 -0.41 0.45 16 50 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 51 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 52 H 0.09 0.34 5.92 -51.93 -0.31 0.04 16 53 H 0.07 0.46 6.81 -51.93 -0.35 0.11 16 LS Contribution 408.95 15.07 6.16 6.16 Total: -1.00 -36.90 408.95 -8.69 -45.59 By element: Atomic # 1 Polarization: 13.34 SS G_CDS: -9.34 Total: 4.00 kcal Atomic # 6 Polarization: -4.81 SS G_CDS: 0.35 Total: -4.46 kcal Atomic # 7 Polarization: -54.87 SS G_CDS: -0.09 Total: -54.95 kcal Atomic # 8 Polarization: -16.99 SS G_CDS: -0.69 Total: -17.68 kcal Atomic # 14 Polarization: 26.43 SS G_CDS: -5.09 Total: 21.35 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -36.90 -8.69 -45.59 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. ZINC001734208135.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 -78.525 kcal (2) G-P(sol) polarization free energy of solvation -36.896 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -115.421 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.689 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.585 kcal (6) G-S(sol) free energy of system = (1) + (5) -124.111 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds