Wall clock time and date at job start Sat Apr 11 2020 06:12:01 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 1.42896 * 1 3 3 C 1.42900 * 114.00243 * 2 1 4 4 H 1.08995 * 109.47231 * 29.99182 * 3 2 1 5 5 C 1.50700 * 109.46686 * 269.99464 * 3 2 1 6 6 O 1.21281 * 120.00148 * 354.99989 * 5 3 2 7 7 N 1.34783 * 119.99765 * 175.00054 * 5 3 2 8 8 C 1.46506 * 119.99871 * 175.00134 * 7 5 3 9 9 C 1.53001 * 109.49595 * 302.77733 * 8 7 5 10 10 O 1.42905 * 109.47214 * 300.59293 * 9 8 7 11 11 C 1.53044 * 109.49878 * 62.84008 * 8 7 5 12 12 C 1.53104 * 109.50267 * 58.61886 * 11 8 7 13 13 C 1.53197 * 109.32907 * 61.34091 * 12 11 8 14 14 N 1.46923 * 108.77770 * 305.36481 * 13 12 11 15 15 C 1.36933 * 120.63277 * 233.58758 * 14 13 12 16 16 H 1.08000 * 119.99625 * 31.78756 * 15 14 13 17 17 C 1.38811 * 120.00083 * 211.79222 * 15 14 13 18 18 N 1.31614 * 119.99906 * 11.10677 * 17 15 14 19 19 Si 1.86810 * 119.99884 * 191.10863 * 17 15 14 20 20 H 1.48496 * 109.46815 * 90.00124 * 19 17 15 21 21 H 1.48494 * 109.47030 * 209.99973 * 19 17 15 22 22 H 1.48499 * 109.47123 * 329.99988 * 19 17 15 23 23 C 1.46922 * 118.73764 * 53.60652 * 14 13 12 24 24 C 1.52995 * 109.47406 * 149.99688 * 3 2 1 25 25 C 1.54266 * 110.03462 * 57.90243 * 24 3 2 26 26 C 1.54958 * 104.16444 * 217.13613 * 25 24 3 27 27 C 1.54895 * 102.77472 * 37.89117 * 26 25 24 28 28 C 1.53877 * 110.03408 * 300.68811 * 24 3 2 29 29 H 1.09003 * 109.47556 * 180.02562 * 1 2 3 30 30 H 1.08996 * 109.47226 * 300.00747 * 1 2 3 31 31 H 1.09007 * 109.46871 * 60.00741 * 1 2 3 32 32 H 0.96994 * 120.00214 * 354.99611 * 7 5 3 33 33 H 1.08994 * 109.47329 * 60.58973 * 9 8 7 34 34 H 1.08997 * 109.47009 * 180.59517 * 9 8 7 35 35 H 0.96696 * 114.00404 * 180.02562 * 10 9 8 36 36 H 1.08997 * 109.45703 * 178.61015 * 11 8 7 37 37 H 1.08997 * 109.45688 * 298.56618 * 11 8 7 38 38 H 1.09003 * 109.48955 * 301.38803 * 12 11 8 39 39 H 1.08997 * 109.51361 * 181.31629 * 12 11 8 40 40 H 1.09001 * 109.58451 * 185.57337 * 13 12 11 41 41 H 1.08999 * 109.58736 * 65.15399 * 13 12 11 42 42 H 0.97010 * 119.99784 * 180.02562 * 18 17 15 43 43 H 1.09002 * 109.58657 * 186.60325 * 23 14 13 44 44 H 1.09004 * 109.70622 * 66.25330 * 23 14 13 45 45 H 1.08999 * 110.02009 * 179.29503 * 24 3 2 46 46 H 1.09004 * 110.48850 * 335.78870 * 25 24 3 47 47 H 1.09002 * 110.48539 * 98.42850 * 25 24 3 48 48 H 1.08999 * 110.72531 * 279.57908 * 26 25 24 49 49 H 1.08997 * 110.76927 * 156.22226 * 26 25 24 50 50 H 1.09007 * 110.48537 * 203.40484 * 27 26 25 51 51 H 1.08998 * 110.48849 * 80.76302 * 27 26 25 52 52 H 1.08998 * 110.03230 * 238.57549 * 28 24 3 53 53 H 1.08999 * 110.02609 * 359.94943 * 28 24 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 1.3054 0.0000 4 1 1.3450 1.9994 0.5137 5 6 2.2147 1.7642 -1.4209 6 8 1.9793 1.0103 -2.3413 7 7 2.6591 3.0123 -1.6687 8 6 2.9623 3.4226 -3.0420 9 6 4.0073 2.4776 -3.6384 10 8 5.1946 2.5180 -2.8443 11 6 1.6857 3.3698 -3.8846 12 6 0.6286 4.2905 -3.2691 13 6 1.1493 5.7313 -3.2687 14 7 2.4494 5.7641 -2.5852 15 6 2.6693 6.6273 -1.5452 16 1 1.8557 6.9017 -0.8900 17 6 3.9377 7.1497 -1.3330 18 7 4.8737 6.9960 -2.2454 19 14 4.3162 8.0708 0.2475 20 1 4.8093 7.1150 1.2714 21 1 5.3575 9.0964 -0.0145 22 1 3.0824 8.7330 0.7421 23 6 3.5093 4.8535 -3.0390 24 6 3.3588 1.2633 0.7213 25 6 4.2933 0.2452 0.0356 26 6 5.0700 -0.4059 1.2077 27 6 3.9914 -0.5165 2.3138 28 6 3.1672 0.7795 2.1694 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5139 0.8899 31 1 -0.3633 0.5138 -0.8901 32 1 2.7781 3.6388 -0.9378 33 1 3.6131 1.4615 -3.6510 34 1 4.2403 2.7896 -4.6565 35 1 5.9020 1.9419 -3.1647 36 1 1.9070 3.6988 -4.8999 37 1 1.3085 2.3475 -3.9085 38 1 0.4250 3.9770 -2.2452 39 1 -0.2884 4.2352 -3.8557 40 1 0.4436 6.3747 -2.7431 41 1 1.2674 6.0774 -4.2955 42 1 5.7603 7.3607 -2.0970 43 1 4.3610 4.9177 -2.3618 44 1 3.8224 5.1271 -4.0467 45 1 3.8162 2.2527 0.7156 46 1 3.7123 -0.5052 -0.5005 47 1 4.9794 0.7534 -0.6421 48 1 5.8900 0.2355 1.5306 49 1 5.4378 -1.3928 0.9268 50 1 4.4577 -0.5644 3.2980 51 1 3.3613 -1.3900 2.1463 52 1 3.5322 1.5338 2.8664 53 1 2.1133 0.5757 2.3585 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 ZINC001700008361.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 06:12:01 Heat of formation + Delta-G solvation = -120.823300 kcal Electronic energy + Delta-G solvation = -33671.547657 eV Core-core repulsion = 29543.346107 eV Total energy + Delta-G solvation = -4128.201550 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -40.33143 -38.73935 -37.10890 -36.42702 -35.84138 -33.65510 -32.61689 -31.10528 -29.99458 -29.41771 -28.57086 -26.59128 -25.44623 -25.12214 -25.04670 -22.23078 -21.14352 -20.63951 -20.13955 -19.54041 -18.53367 -17.36451 -16.78436 -16.70862 -16.41575 -15.84315 -15.46441 -15.07555 -14.72253 -14.41469 -14.30620 -14.09356 -13.96138 -13.54024 -13.29299 -13.17148 -13.00246 -12.87556 -12.71819 -12.38910 -12.25360 -11.87101 -11.63535 -11.39498 -11.22027 -11.13175 -11.04126 -10.93126 -10.89473 -10.78093 -10.55426 -10.54137 -10.46751 -10.40526 -10.23733 -10.19854 -9.97688 -9.75908 -9.57808 -9.38433 -8.65111 -8.53665 -8.30056 -6.66370 -5.82955 -3.32392 3.07523 3.33085 3.40436 3.41664 3.53211 3.98294 4.43531 4.62925 4.69349 4.73804 4.82748 5.10338 5.14623 5.28154 5.33008 5.36770 5.42672 5.48758 5.58400 5.62254 5.69831 5.70594 5.74376 5.75125 5.78827 5.82726 5.85471 5.88282 5.97658 5.99179 6.03224 6.13880 6.17235 6.33201 6.37108 6.40336 6.43484 6.50644 6.52082 6.58297 6.67671 6.82296 6.98344 7.09529 7.10806 7.37324 7.66476 7.75973 8.09862 8.23926 8.43409 8.80810 9.16604 9.78029 10.37378 11.24363 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010308 B = 0.004875 C = 0.004190 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2715.715059 B = 5742.720241 C = 6681.582405 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 -0.353 6.353 3 C 0.079 3.921 4 H 0.078 0.922 5 C 0.494 3.506 6 O -0.544 6.544 7 N -0.684 5.684 8 C 0.158 3.842 9 C 0.069 3.931 10 O -0.557 6.557 11 C -0.120 4.120 12 C -0.127 4.127 13 C 0.142 3.858 14 N -0.590 5.590 15 C -0.260 4.260 16 H 0.064 0.936 17 C 0.010 3.990 18 N -0.897 5.897 19 Si 0.901 3.099 20 H -0.286 1.286 21 H -0.291 1.291 22 H -0.279 1.279 23 C 0.177 3.823 24 C -0.082 4.082 25 C -0.115 4.115 26 C -0.123 4.123 27 C -0.119 4.119 28 C -0.114 4.114 29 H 0.084 0.916 30 H 0.038 0.962 31 H 0.043 0.957 32 H 0.406 0.594 33 H 0.059 0.941 34 H 0.042 0.958 35 H 0.366 0.634 36 H 0.059 0.941 37 H 0.070 0.930 38 H 0.054 0.946 39 H 0.048 0.952 40 H 0.052 0.948 41 H 0.017 0.983 42 H 0.255 0.745 43 H 0.104 0.896 44 H 0.029 0.971 45 H 0.091 0.909 46 H 0.076 0.924 47 H 0.070 0.930 48 H 0.064 0.936 49 H 0.061 0.939 50 H 0.058 0.942 51 H 0.065 0.935 52 H 0.063 0.937 53 H 0.065 0.935 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.575 -13.326 4.484 14.507 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 -0.066 4.066 2 O -0.270 6.270 3 C 0.017 3.983 4 H 0.096 0.904 5 C 0.279 3.721 6 O -0.423 6.423 7 N -0.335 5.335 8 C 0.070 3.930 9 C -0.010 4.010 10 O -0.361 6.361 11 C -0.159 4.159 12 C -0.166 4.166 13 C 0.016 3.984 14 N -0.313 5.313 15 C -0.390 4.390 16 H 0.082 0.918 17 C -0.190 4.190 18 N -0.540 5.540 19 Si 0.731 3.269 20 H -0.213 1.213 21 H -0.217 1.217 22 H -0.205 1.205 23 C 0.051 3.949 24 C -0.101 4.101 25 C -0.152 4.152 26 C -0.161 4.161 27 C -0.156 4.156 28 C -0.152 4.152 29 H 0.103 0.897 30 H 0.056 0.944 31 H 0.062 0.938 32 H 0.242 0.758 33 H 0.077 0.923 34 H 0.060 0.940 35 H 0.211 0.789 36 H 0.078 0.922 37 H 0.088 0.912 38 H 0.073 0.927 39 H 0.067 0.933 40 H 0.071 0.929 41 H 0.035 0.965 42 H 0.065 0.935 43 H 0.122 0.878 44 H 0.047 0.953 45 H 0.109 0.891 46 H 0.095 0.905 47 H 0.088 0.912 48 H 0.082 0.918 49 H 0.080 0.920 50 H 0.077 0.923 51 H 0.084 0.916 52 H 0.082 0.918 53 H 0.083 0.917 Dipole moment (debyes) X Y Z Total from point charges -3.820 -13.487 4.179 14.627 hybrid contribution 0.365 0.746 0.622 1.038 sum -3.455 -12.741 4.801 14.047 Atomic orbital electron populations 1.22795 0.81337 1.02591 0.99856 1.87945 1.19278 1.25288 1.94478 1.22087 0.96641 0.86188 0.93360 0.90388 1.21052 0.77349 0.82255 0.91422 1.90572 1.51486 1.54559 1.45641 1.45887 1.65065 1.12528 1.10024 1.21192 0.92857 0.97856 0.81101 1.22556 0.85592 0.99779 0.93107 1.86578 1.25164 1.69091 1.55217 1.21754 0.95484 1.00431 0.98219 1.21916 0.96751 0.97881 1.00040 1.20976 0.88916 0.93038 0.95456 1.44009 1.09014 1.41085 1.37178 1.19130 0.95234 1.20697 1.03944 0.91809 1.25179 0.97835 0.98225 0.97765 1.69960 1.03558 1.47950 1.32568 0.86317 0.77829 0.79496 0.83246 1.21302 1.21699 1.20476 1.20989 0.92325 0.81896 0.99733 1.21871 0.92619 1.01038 0.94605 1.22352 0.97516 0.98016 0.97349 1.22484 0.97611 1.00249 0.95729 1.22291 0.97215 0.97877 0.98244 1.22110 1.00493 0.97291 0.95286 0.89722 0.94375 0.93780 0.75820 0.92307 0.93995 0.78923 0.92250 0.91156 0.92705 0.93291 0.92931 0.96524 0.93464 0.87795 0.95284 0.89096 0.90542 0.91166 0.91767 0.92000 0.92278 0.91626 0.91827 0.91658 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.36 10.81 101.05 1.09 1.46 16 2 O -0.35 -5.09 8.34 -55.09 -0.46 -5.55 16 3 C 0.08 1.13 2.06 -27.89 -0.06 1.08 16 4 H 0.08 1.03 7.79 -51.93 -0.40 0.63 16 5 C 0.49 8.44 5.92 -10.98 -0.07 8.37 16 6 O -0.54 -10.52 12.77 -14.31 -0.18 -10.70 16 7 N -0.68 -12.30 4.00 -47.49 -0.19 -12.49 16 8 C 0.16 3.00 0.45 -131.70 -0.06 2.94 16 9 C 0.07 1.21 5.69 37.16 0.21 1.42 16 10 O -0.56 -9.60 12.98 -35.23 -0.46 -10.05 16 11 C -0.12 -2.18 4.52 -26.65 -0.12 -2.31 16 12 C -0.13 -2.27 5.93 -26.58 -0.16 -2.43 16 13 C 0.14 2.93 6.52 -3.71 -0.02 2.90 16 14 N -0.59 -13.93 2.85 -172.32 -0.49 -14.42 16 15 C -0.26 -6.70 9.57 -15.06 -0.14 -6.84 16 16 H 0.06 1.62 7.85 -52.49 -0.41 1.21 16 17 C 0.01 0.26 5.03 -17.43 -0.09 0.17 16 18 N -0.90 -25.03 11.11 55.49 0.62 -24.41 16 19 Si 0.90 20.82 29.57 -169.99 -5.03 15.80 16 20 H -0.29 -6.56 7.11 56.52 0.40 -6.15 16 21 H -0.29 -6.88 7.11 56.52 0.40 -6.48 16 22 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 23 C 0.18 4.04 3.75 -3.71 -0.01 4.02 16 24 C -0.08 -1.11 2.79 -89.50 -0.25 -1.36 16 25 C -0.11 -1.57 5.65 -25.03 -0.14 -1.71 16 26 C -0.12 -1.41 6.91 -24.70 -0.17 -1.58 16 27 C -0.12 -1.27 6.83 -25.07 -0.17 -1.45 16 28 C -0.11 -1.31 6.22 -25.61 -0.16 -1.47 16 29 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 30 H 0.04 0.38 8.08 -51.93 -0.42 -0.04 16 31 H 0.04 0.57 8.14 -51.93 -0.42 0.15 16 32 H 0.41 7.69 8.41 -40.82 -0.34 7.35 16 33 H 0.06 1.07 6.16 -51.93 -0.32 0.75 16 34 H 0.04 0.70 8.14 -51.93 -0.42 0.28 16 35 H 0.37 4.59 9.12 45.56 0.42 5.01 16 36 H 0.06 1.05 8.14 -51.93 -0.42 0.62 16 37 H 0.07 1.31 6.25 -51.93 -0.32 0.99 16 38 H 0.05 1.01 7.53 -51.93 -0.39 0.62 16 39 H 0.05 0.78 8.14 -51.93 -0.42 0.36 16 40 H 0.05 1.06 7.93 -51.93 -0.41 0.65 16 41 H 0.02 0.35 8.14 -51.93 -0.42 -0.07 16 42 H 0.26 6.97 8.31 -40.82 -0.34 6.63 16 43 H 0.10 2.70 5.89 -51.93 -0.31 2.39 16 44 H 0.03 0.72 8.14 -51.93 -0.42 0.30 16 45 H 0.09 1.29 8.12 -51.93 -0.42 0.87 16 46 H 0.08 1.18 7.15 -51.93 -0.37 0.81 16 47 H 0.07 1.04 8.14 -51.93 -0.42 0.62 16 48 H 0.06 0.72 8.14 -51.93 -0.42 0.29 16 49 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 50 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 51 H 0.06 0.71 8.14 -51.93 -0.42 0.29 16 52 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 53 H 0.06 0.73 7.40 -51.93 -0.38 0.35 16 LS Contribution 403.43 15.07 6.08 6.08 Total: -1.00 -29.87 403.43 -9.16 -39.03 By element: Atomic # 1 Polarization: 22.23 SS G_CDS: -8.73 Total: 13.50 kcal Atomic # 6 Polarization: 3.55 SS G_CDS: -0.32 Total: 3.23 kcal Atomic # 7 Polarization: -51.26 SS G_CDS: -0.06 Total: -51.33 kcal Atomic # 8 Polarization: -25.21 SS G_CDS: -1.10 Total: -26.31 kcal Atomic # 14 Polarization: 20.82 SS G_CDS: -5.03 Total: 15.80 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -29.87 -9.16 -39.03 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. ZINC001700008361.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 -81.796 kcal (2) G-P(sol) polarization free energy of solvation -29.872 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -111.668 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.155 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.027 kcal (6) G-S(sol) free energy of system = (1) + (5) -120.823 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds