Wall clock time and date at job start Sat Apr 11 2020 06:11:48 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 1.52996 * 1 3 3 C 1.52993 * 109.47473 * 2 1 4 4 N 1.46906 * 109.47378 * 179.97438 * 3 2 1 5 5 C 1.46897 * 110.99771 * 293.95638 * 4 3 2 6 6 C 1.46898 * 110.99890 * 170.00285 * 4 3 2 7 7 C 1.50700 * 109.47068 * 190.00323 * 6 4 3 8 8 O 1.21286 * 119.99792 * 359.97438 * 7 6 4 9 9 N 1.34782 * 120.00317 * 180.02562 * 7 6 4 10 10 C 1.46924 * 120.62798 * 359.71589 * 9 7 6 11 11 C 1.52764 * 109.00661 * 233.58786 * 10 9 7 12 12 C 1.53039 * 109.38088 * 305.58603 * 11 10 9 13 13 N 1.46904 * 109.44715 * 181.25477 * 12 11 10 14 14 C 1.46901 * 110.99612 * 84.94133 * 13 12 11 15 15 C 1.50703 * 109.46778 * 179.97438 * 14 13 12 16 16 O 1.21292 * 120.00334 * 359.97438 * 15 14 13 17 17 N 1.34777 * 120.00213 * 180.02562 * 15 14 13 18 18 C 1.37093 * 120.00492 * 180.02562 * 17 15 14 19 19 H 1.08009 * 119.99630 * 359.97438 * 18 17 15 20 20 C 1.38943 * 120.00152 * 180.02562 * 18 17 15 21 21 N 1.31407 * 120.00139 * 359.97438 * 20 18 17 22 22 Si 1.86809 * 119.99952 * 179.97438 * 20 18 17 23 23 H 1.48501 * 109.47013 * 0.02562 * 22 20 18 24 24 H 1.48504 * 109.47008 * 119.99942 * 22 20 18 25 25 H 1.48496 * 109.46998 * 239.99786 * 22 20 18 26 26 C 1.53039 * 109.53926 * 61.24343 * 12 11 10 27 27 C 1.46922 * 120.63075 * 179.97438 * 9 7 6 28 28 H 1.08996 * 109.47261 * 300.00171 * 1 2 3 29 29 H 1.09000 * 109.46870 * 59.99782 * 1 2 3 30 30 H 1.09001 * 109.47372 * 179.97438 * 1 2 3 31 31 H 1.09004 * 109.47108 * 240.00112 * 2 1 3 32 32 H 1.09004 * 109.47368 * 120.00213 * 2 1 3 33 33 H 1.09004 * 109.46862 * 59.99962 * 3 2 1 34 34 H 1.09000 * 109.47250 * 299.99985 * 3 2 1 35 35 H 1.08997 * 109.47293 * 60.00221 * 5 4 3 36 36 H 1.09000 * 109.46769 * 179.97438 * 5 4 3 37 37 H 1.08999 * 109.47106 * 299.99134 * 5 4 3 38 38 H 1.09004 * 109.47244 * 310.00126 * 6 4 3 39 39 H 1.08994 * 109.47665 * 70.00225 * 6 4 3 40 40 H 1.09007 * 109.58746 * 353.41876 * 10 9 7 41 41 H 1.08993 * 109.58788 * 113.84385 * 10 9 7 42 42 H 1.09000 * 109.56322 * 185.55085 * 11 10 9 43 43 H 1.08993 * 109.36095 * 65.50155 * 11 10 9 44 44 H 1.08996 * 109.46259 * 301.22210 * 12 11 10 45 45 H 1.00898 * 110.99981 * 320.99168 * 13 12 11 46 46 H 1.08997 * 109.47493 * 299.99788 * 14 13 12 47 47 H 1.08996 * 109.47300 * 60.00023 * 14 13 12 48 48 H 0.97005 * 119.99310 * 359.97438 * 17 15 14 49 49 H 0.97009 * 120.00281 * 179.97438 * 21 20 18 50 50 H 1.09000 * 109.50149 * 178.68029 * 26 12 11 51 51 H 1.09001 * 109.52339 * 58.59818 * 26 12 11 52 52 H 1.09000 * 109.58792 * 246.15228 * 27 9 7 53 53 H 1.08996 * 109.58661 * 6.44084 * 27 9 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 1.4424 0.0000 4 7 3.5091 1.4424 0.0006 5 6 4.0349 0.8857 1.2542 6 6 4.0356 2.7929 -0.2374 7 6 5.5220 2.7181 -0.4742 8 8 6.0871 1.6453 -0.4468 9 7 6.2236 3.8433 -0.7154 10 6 5.5523 5.1496 -0.7567 11 6 5.8923 5.8422 -2.0752 12 6 7.4128 5.9112 -2.2352 13 7 7.7417 6.6038 -3.4883 14 6 7.7575 8.0601 -3.2963 15 6 8.0985 8.7349 -4.6000 16 8 8.3082 8.0682 -5.5913 17 7 8.1714 10.0791 -4.6642 18 6 8.4811 10.6931 -5.8502 19 1 8.6670 10.0994 -6.7331 20 6 8.5568 12.0789 -5.9161 21 7 8.3310 12.8011 -4.8418 22 14 8.9794 12.9153 -7.5321 23 1 9.1857 11.8865 -8.5829 24 1 7.8658 13.8132 -7.9309 25 1 10.2222 13.7113 -7.3672 26 6 7.9886 4.4937 -2.2698 27 6 7.6732 3.7864 -0.9475 28 1 -0.3633 0.5138 0.8899 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3634 -1.0277 -0.0005 31 1 1.8933 -0.5138 -0.8900 32 1 1.8934 -0.5139 0.8900 33 1 1.6767 1.9562 0.8900 34 1 1.6767 1.9563 -0.8900 35 1 3.6854 -0.1401 1.3711 36 1 5.1245 0.8971 1.2279 37 1 3.6852 1.4867 2.0936 38 1 3.5495 3.2234 -1.1130 39 1 3.8374 3.4188 0.6326 40 1 4.4736 5.0085 -0.6873 41 1 5.8967 5.7639 0.0751 42 1 5.4804 6.8514 -2.0741 43 1 5.4648 5.2752 -2.9020 44 1 7.8420 6.4571 -1.3951 45 1 7.1026 6.3430 -4.2241 46 1 6.7755 8.3930 -2.9605 47 1 8.5051 8.3197 -2.5468 48 1 8.0040 10.6123 -3.8712 49 1 8.3842 13.7687 -4.8878 50 1 9.0688 4.5430 -2.4073 51 1 7.5418 3.9390 -3.0949 52 1 8.1940 4.2876 -0.1316 53 1 7.9941 2.7461 -1.0015 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 ZINC001203437418.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 06:11:48 Heat of formation + Delta-G solvation = -66.690872 kcal Electronic energy + Delta-G solvation = -29590.942953 eV Core-core repulsion = 25497.381512 eV Total energy + Delta-G solvation = -4093.561441 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.64 seconds Orbital eigenvalues (eV) -40.59908 -38.78051 -38.05783 -37.25911 -35.11321 -33.88368 -33.61268 -31.82441 -31.28427 -30.94312 -28.67041 -27.37087 -26.74965 -24.75534 -23.88752 -23.47534 -22.73040 -21.19395 -20.84706 -19.50024 -18.99485 -17.89979 -17.61159 -16.35551 -16.25111 -16.10880 -15.83800 -15.41817 -14.98554 -14.85542 -14.71802 -14.65162 -14.50090 -14.00098 -13.88398 -13.85351 -13.59159 -13.46277 -13.06496 -12.76745 -12.69199 -12.43385 -12.25533 -12.19233 -12.11801 -11.89544 -11.72404 -11.60178 -11.51709 -11.44784 -11.39442 -11.09470 -10.98128 -10.92540 -10.64846 -10.35617 -10.23993 -9.90373 -9.53870 -8.92027 -8.68360 -8.48262 -8.06367 -7.97505 -6.43743 -3.84480 2.39815 2.61711 3.15054 3.25852 3.33219 3.53040 3.88647 4.04711 4.19281 4.27830 4.44453 4.47214 4.61227 4.75079 4.76617 4.81356 4.82009 4.96670 5.03251 5.05548 5.06395 5.09898 5.11826 5.21231 5.22274 5.27141 5.34713 5.35349 5.36871 5.50935 5.53886 5.61938 5.70370 5.72079 5.74611 5.79784 5.83630 5.92133 5.95946 5.98837 6.15517 6.26888 6.33332 6.54632 6.66184 7.15225 7.21027 7.53693 7.63253 7.98175 8.04788 8.59337 9.16315 9.52378 10.03860 10.74011 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.021900 B = 0.001658 C = 0.001596 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1278.228974 B =16882.599052 C =17540.465783 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.121 4.121 3 C 0.055 3.945 4 N -0.526 5.526 5 C 0.017 3.983 6 C 0.037 3.963 7 C 0.517 3.483 8 O -0.524 6.524 9 N -0.613 5.613 10 C 0.112 3.888 11 C -0.169 4.169 12 C 0.089 3.911 13 N -0.663 5.663 14 C 0.051 3.949 15 C 0.440 3.560 16 O -0.583 6.583 17 N -0.564 5.564 18 C -0.299 4.299 19 H 0.104 0.896 20 C 0.022 3.978 21 N -0.902 5.902 22 Si 0.929 3.071 23 H -0.268 1.268 24 H -0.282 1.282 25 H -0.281 1.281 26 C -0.121 4.121 27 C 0.113 3.887 28 H 0.052 0.948 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.072 0.928 32 H 0.062 0.938 33 H 0.034 0.966 34 H 0.075 0.925 35 H 0.070 0.930 36 H 0.087 0.913 37 H 0.019 0.981 38 H 0.103 0.897 39 H 0.062 0.938 40 H 0.081 0.919 41 H 0.072 0.928 42 H 0.078 0.922 43 H 0.071 0.929 44 H 0.078 0.922 45 H 0.350 0.650 46 H 0.043 0.957 47 H 0.085 0.915 48 H 0.392 0.608 49 H 0.271 0.729 50 H 0.085 0.915 51 H 0.067 0.933 52 H 0.067 0.933 53 H 0.094 0.906 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.095 -18.709 16.255 28.031 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 -0.209 4.209 2 C -0.159 4.159 3 C -0.073 4.073 4 N -0.250 5.250 5 C -0.130 4.130 6 C -0.094 4.094 7 C 0.305 3.695 8 O -0.400 6.400 9 N -0.348 5.348 10 C -0.011 4.011 11 C -0.209 4.209 12 C -0.022 4.022 13 N -0.293 5.293 14 C -0.082 4.082 15 C 0.225 3.775 16 O -0.467 6.467 17 N -0.201 5.201 18 C -0.429 4.429 19 H 0.121 0.879 20 C -0.179 4.179 21 N -0.543 5.543 22 Si 0.756 3.244 23 H -0.192 1.192 24 H -0.208 1.208 25 H -0.207 1.207 26 C -0.159 4.159 27 C -0.009 4.009 28 H 0.071 0.929 29 H 0.074 0.926 30 H 0.076 0.924 31 H 0.091 0.909 32 H 0.081 0.919 33 H 0.052 0.948 34 H 0.093 0.907 35 H 0.089 0.911 36 H 0.105 0.895 37 H 0.037 0.963 38 H 0.121 0.879 39 H 0.080 0.920 40 H 0.100 0.900 41 H 0.090 0.910 42 H 0.096 0.904 43 H 0.090 0.910 44 H 0.096 0.904 45 H 0.170 0.830 46 H 0.061 0.939 47 H 0.103 0.897 48 H 0.225 0.775 49 H 0.081 0.919 50 H 0.104 0.896 51 H 0.086 0.914 52 H 0.085 0.915 53 H 0.112 0.888 Dipole moment (debyes) X Y Z Total from point charges -11.790 -19.888 15.298 27.723 hybrid contribution -1.212 1.878 0.454 2.281 sum -13.003 -18.010 15.752 27.232 Atomic orbital electron populations 1.21740 0.95511 1.01886 1.01783 1.21527 0.95331 0.96099 1.02954 1.22226 0.86436 0.97791 1.00844 1.61647 1.07296 1.19779 1.36269 1.22594 1.02651 0.99688 0.88117 1.22015 0.93268 0.91583 1.02583 1.20458 0.89052 0.83533 0.76494 1.90665 1.71204 1.27850 1.50247 1.48176 1.08894 1.06681 1.71053 1.21609 0.97446 0.83865 0.98230 1.22668 0.99065 1.01320 0.97875 1.21579 0.92082 0.95152 0.93359 1.60176 1.57583 1.05332 1.06257 1.21703 1.00246 0.88356 0.97861 1.19833 0.84859 0.83043 0.89736 1.90530 1.54942 1.64006 1.37205 1.41871 1.61301 1.04587 1.12318 1.19761 1.43920 0.89768 0.89419 0.87864 1.25256 0.97458 0.96376 0.98840 1.69618 1.49715 1.06649 1.28359 0.85803 0.77957 0.79106 0.81502 1.19205 1.20785 1.20729 1.21895 1.02464 0.94798 0.96788 1.21656 0.79397 1.02689 0.97194 0.92901 0.92578 0.92446 0.90938 0.91885 0.94812 0.90667 0.91116 0.89481 0.96253 0.87861 0.91998 0.90041 0.91004 0.90387 0.91029 0.90353 0.83002 0.93936 0.89654 0.77497 0.91936 0.89650 0.91392 0.91484 0.88806 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 -0.77 9.91 37.16 0.37 -0.40 16 2 C -0.12 -0.78 5.86 -26.74 -0.16 -0.94 16 3 C 0.05 0.37 4.96 -3.82 -0.02 0.36 16 4 N -0.53 -4.74 4.50 -244.38 -1.10 -5.84 16 5 C 0.02 0.15 8.96 60.06 0.54 0.69 16 6 C 0.04 0.29 3.80 -4.98 -0.02 0.28 16 7 C 0.52 5.56 7.39 -10.98 -0.08 5.48 16 8 O -0.52 -7.47 13.74 5.55 0.08 -7.39 16 9 N -0.61 -5.72 2.98 -173.01 -0.52 -6.24 16 10 C 0.11 0.81 6.31 -3.93 -0.02 0.79 16 11 C -0.17 -1.52 5.31 -26.83 -0.14 -1.67 16 12 C 0.09 0.99 2.43 -67.67 -0.16 0.82 16 13 N -0.66 -10.10 5.87 -107.95 -0.63 -10.73 16 14 C 0.05 0.85 5.96 -4.97 -0.03 0.82 16 15 C 0.44 10.19 7.82 -10.98 -0.09 10.10 16 16 O -0.58 -15.72 15.78 5.55 0.09 -15.63 16 17 N -0.56 -14.08 5.29 -10.96 -0.06 -14.14 16 18 C -0.30 -8.29 9.68 -14.94 -0.14 -8.43 16 19 H 0.10 3.02 7.16 -52.48 -0.38 2.64 16 20 C 0.02 0.59 5.50 -17.47 -0.10 0.49 16 21 N -0.90 -24.26 13.05 55.50 0.72 -23.54 16 22 Si 0.93 20.90 29.55 -169.99 -5.02 15.88 16 23 H -0.27 -6.04 7.11 56.52 0.40 -5.64 16 24 H -0.28 -6.23 7.11 56.52 0.40 -5.83 16 25 H -0.28 -6.24 7.11 56.52 0.40 -5.84 16 26 C -0.12 -1.30 5.69 -26.59 -0.15 -1.45 16 27 C 0.11 1.10 6.44 -3.69 -0.02 1.08 16 28 H 0.05 0.25 8.14 -51.93 -0.42 -0.17 16 29 H 0.06 0.28 8.14 -51.93 -0.42 -0.15 16 30 H 0.06 0.27 8.14 -51.93 -0.42 -0.15 16 31 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.06 0.41 6.55 -51.93 -0.34 0.07 16 33 H 0.03 0.21 8.12 -51.93 -0.42 -0.21 16 34 H 0.07 0.48 7.93 -51.93 -0.41 0.06 16 35 H 0.07 0.56 6.47 -51.93 -0.34 0.23 16 36 H 0.09 0.94 5.82 -51.93 -0.30 0.64 16 37 H 0.02 0.15 8.14 -51.93 -0.42 -0.28 16 38 H 0.10 0.70 7.47 -51.93 -0.39 0.31 16 39 H 0.06 0.40 7.93 -51.93 -0.41 -0.01 16 40 H 0.08 0.44 5.94 -51.93 -0.31 0.13 16 41 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 42 H 0.08 0.69 7.42 -51.93 -0.39 0.31 16 43 H 0.07 0.70 8.14 -51.93 -0.42 0.27 16 44 H 0.08 0.83 7.80 -51.93 -0.40 0.43 16 45 H 0.35 5.64 8.18 -39.29 -0.32 5.31 16 46 H 0.04 0.63 7.41 -51.93 -0.38 0.24 16 47 H 0.09 1.32 8.05 -51.93 -0.42 0.91 16 48 H 0.39 9.30 7.90 -40.82 -0.32 8.98 16 49 H 0.27 6.88 8.31 -40.82 -0.34 6.54 16 50 H 0.08 0.96 8.14 -51.93 -0.42 0.54 16 51 H 0.07 0.81 8.14 -51.93 -0.42 0.39 16 52 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 53 H 0.09 1.03 7.00 -51.93 -0.36 0.67 16 LS Contribution 415.00 15.07 6.25 6.25 Total: -1.00 -32.98 415.00 -9.68 -42.66 By element: Atomic # 1 Polarization: 19.96 SS G_CDS: -9.26 Total: 10.70 kcal Atomic # 6 Polarization: 8.25 SS G_CDS: -0.23 Total: 8.02 kcal Atomic # 7 Polarization: -58.91 SS G_CDS: -1.58 Total: -60.49 kcal Atomic # 8 Polarization: -23.18 SS G_CDS: 0.16 Total: -23.02 kcal Atomic # 14 Polarization: 20.90 SS G_CDS: -5.02 Total: 15.88 kcal Total LS contribution 6.25 Total: 6.25 kcal Total: -32.98 -9.68 -42.66 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. ZINC001203437418.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 -24.030 kcal (2) G-P(sol) polarization free energy of solvation -32.981 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -57.011 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.680 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.661 kcal (6) G-S(sol) free energy of system = (1) + (5) -66.691 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds