Wall clock time and date at job start Sat Apr 11 2020 06:11:46 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 1.53006 * 1 3 3 C 1.52999 * 109.46997 * 2 1 4 4 C 1.53006 * 109.46623 * 179.97438 * 3 2 1 5 5 C 1.52999 * 109.46626 * 179.97438 * 4 3 2 6 6 H 1.08993 * 109.47768 * 305.00075 * 5 4 3 7 7 N 1.46501 * 109.47174 * 65.00624 * 5 4 3 8 8 C 1.34773 * 120.00297 * 59.99001 * 7 5 4 9 9 N 1.34772 * 120.00132 * 180.02562 * 8 7 5 10 10 O 1.21591 * 119.99875 * 0.02562 * 8 7 5 11 11 C 1.50709 * 109.46788 * 184.99743 * 5 4 3 12 12 O 1.21277 * 120.00001 * 260.00315 * 11 5 4 13 13 N 1.34778 * 119.99340 * 80.00361 * 11 5 4 14 14 C 1.47018 * 125.65332 * 0.02683 * 13 11 5 15 15 C 1.54323 * 107.27195 * 181.02278 * 14 13 11 16 16 H 1.09009 * 110.71814 * 263.82790 * 15 14 13 17 17 N 1.46496 * 110.71974 * 140.73273 * 15 14 13 18 18 C 1.36943 * 120.00296 * 86.45251 * 17 15 14 19 19 H 1.08001 * 119.99343 * 359.97438 * 18 17 15 20 20 C 1.38808 * 120.00183 * 179.97438 * 18 17 15 21 21 N 1.31621 * 119.99901 * 359.97438 * 20 18 17 22 22 Si 1.86797 * 120.00068 * 179.97438 * 20 18 17 23 23 H 1.48501 * 109.47158 * 90.00136 * 22 20 18 24 24 H 1.48497 * 109.47273 * 210.00135 * 22 20 18 25 25 H 1.48500 * 109.47202 * 330.00218 * 22 20 18 26 26 C 1.55152 * 102.94156 * 22.18726 * 15 14 13 27 27 C 1.53007 * 111.00408 * 82.57614 * 26 15 14 28 28 C 1.53004 * 111.00383 * 206.38521 * 26 15 14 29 29 C 1.47424 * 125.64484 * 179.71255 * 13 11 5 30 30 H 1.09000 * 109.46866 * 300.00212 * 1 2 3 31 31 H 1.08996 * 109.47261 * 59.99820 * 1 2 3 32 32 H 1.09001 * 109.47377 * 180.02562 * 1 2 3 33 33 H 1.09000 * 109.46866 * 239.99788 * 2 1 3 34 34 H 1.09001 * 109.46611 * 119.99905 * 2 1 3 35 35 H 1.09000 * 109.47486 * 60.00167 * 3 2 1 36 36 H 1.09001 * 109.47362 * 299.99445 * 3 2 1 37 37 H 1.08993 * 109.46955 * 300.00075 * 4 3 2 38 38 H 1.09000 * 109.47050 * 59.99904 * 4 3 2 39 39 H 0.97007 * 120.00043 * 239.99805 * 7 5 4 40 40 H 0.97002 * 120.00228 * 359.97438 * 9 8 7 41 41 H 0.97001 * 120.00517 * 180.02562 * 9 8 7 42 42 H 1.09003 * 109.88242 * 300.44052 * 14 13 11 43 43 H 1.09000 * 109.88327 * 61.44780 * 14 13 11 44 44 H 0.97005 * 120.00026 * 266.44923 * 17 15 14 45 45 H 0.97000 * 119.99902 * 179.97438 * 21 20 18 46 46 H 1.09008 * 109.47014 * 59.99214 * 27 26 15 47 47 H 1.08999 * 109.47462 * 179.97438 * 27 26 15 48 48 H 1.09001 * 109.46774 * 299.99839 * 27 26 15 49 49 H 1.08999 * 109.47044 * 60.00603 * 28 26 15 50 50 H 1.09001 * 109.47056 * 180.02562 * 28 26 15 51 51 H 1.09005 * 109.47026 * 300.00280 * 28 26 15 52 52 H 1.08997 * 110.37011 * 274.75216 * 29 13 11 53 53 H 1.08999 * 110.36625 * 37.07091 * 29 13 11 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 1.5301 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 3.5701 1.4424 0.0006 5 6 4.0801 2.8849 0.0000 6 1 3.6459 3.4235 -0.8422 7 7 3.6921 3.5406 1.2513 8 6 4.1160 3.0458 2.4311 9 7 3.7587 3.6487 3.5822 10 8 4.8209 2.0554 2.4568 11 6 5.5821 2.8866 -0.1231 12 8 6.2712 3.0401 0.8630 13 7 6.1594 2.7175 -1.3292 14 6 5.4471 2.5225 -2.6005 15 6 6.5143 2.3483 -3.7016 16 1 6.7049 3.2951 -4.2071 17 7 6.1037 1.3227 -4.6637 18 6 5.3114 1.6605 -5.7283 19 1 4.9889 2.6830 -5.8584 20 6 4.9228 0.6888 -6.6402 21 7 5.3164 -0.5572 -6.4819 22 14 3.8415 1.1494 -8.0921 23 1 4.6964 1.5346 -9.2436 24 1 2.9975 -0.0127 -8.4691 25 1 2.9709 2.2927 -7.7177 26 6 7.7642 1.8902 -2.9047 27 6 7.7189 0.3856 -2.6308 28 6 9.0520 2.2727 -3.6371 29 6 7.6098 2.7039 -1.5931 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3634 -1.0277 0.0005 33 1 1.8934 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 1.6767 1.9564 0.8900 36 1 1.6768 1.9563 -0.8900 37 1 3.9330 0.9287 0.8908 38 1 3.9338 0.9284 -0.8891 39 1 3.1299 4.3309 1.2308 40 1 3.1966 4.4390 3.5617 41 1 4.0641 3.2928 4.4313 42 1 4.8244 1.6297 -2.5433 43 1 4.8277 3.3931 -2.8157 44 1 6.3932 0.4043 -4.5467 45 1 5.0445 -1.2363 -7.1190 46 1 7.6898 -0.1553 -3.5768 47 1 8.6069 0.0911 -2.0714 48 1 6.8278 0.1489 -2.0495 49 1 9.0928 3.3551 -3.7591 50 1 9.9126 1.9395 -3.0570 51 1 9.0681 1.7957 -4.6171 52 1 7.9803 3.7200 -1.7284 53 1 8.1392 2.2117 -0.7773 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 ZINC001677043021.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 06:11:46 Heat of formation + Delta-G solvation = -63.152064 kcal Electronic energy + Delta-G solvation = -32165.446330 eV Core-core repulsion = 28072.038344 eV Total energy + Delta-G solvation = -4093.407987 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.59643 -39.38947 -37.65649 -36.12719 -34.15519 -34.06129 -33.48952 -33.05438 -30.80977 -30.43988 -27.67402 -27.30966 -26.94480 -25.39394 -23.91890 -22.79704 -21.78935 -21.19080 -20.53678 -18.96248 -18.63216 -18.51022 -17.23858 -17.18293 -16.41947 -15.82721 -15.66040 -15.23780 -14.84478 -14.49514 -14.29113 -14.09218 -13.98440 -13.86969 -13.70501 -13.48604 -13.06699 -12.95863 -12.65471 -12.57032 -12.36424 -12.09305 -12.01802 -11.68998 -11.48587 -11.31257 -11.14016 -11.05340 -11.01193 -10.91752 -10.85774 -10.56296 -10.52297 -10.44399 -10.22458 -10.04942 -9.83875 -9.70977 -9.62011 -9.53991 -9.01753 -8.75108 -8.16936 -7.08169 -5.85545 -3.15665 2.73525 3.01587 3.30140 3.38029 3.43557 3.45363 3.56802 4.44377 4.51518 4.63647 4.83278 4.93575 5.00071 5.06386 5.12632 5.19351 5.24730 5.33618 5.44092 5.52444 5.62571 5.72517 5.74234 5.76801 5.84087 5.88035 5.90682 5.93671 6.02729 6.07605 6.08059 6.16563 6.19896 6.25847 6.29019 6.34162 6.41031 6.45806 6.46280 6.52239 6.66841 6.67381 6.72177 6.79993 6.92659 6.93931 7.62638 7.92893 7.98897 8.32764 8.53824 8.81115 9.44910 9.99935 10.35022 11.36535 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009744 B = 0.003905 C = 0.003047 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2872.840967 B = 7167.803966 C = 9185.705481 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.126 4.126 3 C -0.110 4.110 4 C -0.135 4.135 5 C 0.159 3.841 6 H 0.107 0.893 7 N -0.733 5.733 8 C 0.710 3.290 9 N -0.873 5.873 10 O -0.562 6.562 11 C 0.514 3.486 12 O -0.521 6.521 13 N -0.613 5.613 14 C 0.071 3.929 15 C 0.181 3.819 16 H 0.064 0.936 17 N -0.711 5.711 18 C -0.247 4.247 19 H 0.071 0.929 20 C -0.007 4.007 21 N -0.929 5.929 22 Si 0.906 3.094 23 H -0.290 1.290 24 H -0.292 1.292 25 H -0.281 1.281 26 C -0.085 4.085 27 C -0.131 4.131 28 C -0.129 4.129 29 C 0.120 3.880 30 H 0.049 0.951 31 H 0.054 0.946 32 H 0.052 0.948 33 H 0.066 0.934 34 H 0.059 0.941 35 H 0.058 0.942 36 H 0.062 0.938 37 H 0.092 0.908 38 H 0.080 0.920 39 H 0.397 0.603 40 H 0.391 0.609 41 H 0.412 0.588 42 H 0.075 0.925 43 H 0.056 0.944 44 H 0.390 0.610 45 H 0.256 0.744 46 H 0.071 0.929 47 H 0.047 0.953 48 H 0.054 0.946 49 H 0.052 0.948 50 H 0.049 0.951 51 H 0.067 0.933 52 H 0.062 0.938 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.109 8.566 15.042 18.048 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 -0.207 4.207 2 C -0.163 4.163 3 C -0.147 4.147 4 C -0.173 4.173 5 C 0.050 3.950 6 H 0.125 0.875 7 N -0.389 5.389 8 C 0.409 3.591 9 N -0.442 5.442 10 O -0.437 6.437 11 C 0.300 3.700 12 O -0.396 6.396 13 N -0.348 5.348 14 C -0.055 4.055 15 C 0.069 3.931 16 H 0.082 0.918 17 N -0.354 5.354 18 C -0.378 4.378 19 H 0.089 0.911 20 C -0.204 4.204 21 N -0.576 5.576 22 Si 0.737 3.263 23 H -0.217 1.217 24 H -0.218 1.218 25 H -0.207 1.207 26 C -0.087 4.087 27 C -0.189 4.189 28 C -0.187 4.187 29 C -0.003 4.003 30 H 0.068 0.932 31 H 0.073 0.927 32 H 0.071 0.929 33 H 0.085 0.915 34 H 0.078 0.922 35 H 0.076 0.924 36 H 0.081 0.919 37 H 0.111 0.889 38 H 0.098 0.902 39 H 0.230 0.770 40 H 0.218 0.782 41 H 0.243 0.757 42 H 0.093 0.907 43 H 0.074 0.926 44 H 0.227 0.773 45 H 0.066 0.934 46 H 0.090 0.910 47 H 0.066 0.934 48 H 0.073 0.927 49 H 0.071 0.929 50 H 0.069 0.931 51 H 0.086 0.914 52 H 0.080 0.920 53 H 0.089 0.911 Dipole moment (debyes) X Y Z Total from point charges -4.278 7.821 15.334 17.737 hybrid contribution -1.077 0.651 -0.558 1.376 sum -5.354 8.472 14.776 17.854 Atomic orbital electron populations 1.21756 0.96077 1.01444 1.01473 1.21516 0.95571 0.96900 1.02359 1.21520 0.94550 0.97039 1.01615 1.21998 0.95984 0.94319 1.05020 1.20667 0.92108 0.96236 0.86009 0.87528 1.44716 1.56554 1.33294 1.04342 1.15835 0.79616 0.83197 0.80487 1.42977 1.58981 1.34480 1.07771 1.90971 1.39986 1.26909 1.85785 1.20486 0.90390 0.77237 0.81885 1.90717 1.64457 1.48601 1.35811 1.48478 1.07790 1.71557 1.06989 1.23351 0.97786 1.00844 0.83503 1.21183 0.89554 0.93799 0.88565 0.91799 1.42533 1.59756 1.07192 1.25891 1.19241 1.23116 0.94249 1.01208 0.91088 1.24731 1.00968 0.95451 0.99222 1.69653 1.49426 1.00555 1.38005 0.86224 0.80106 0.77138 0.82879 1.21696 1.21781 1.20714 1.22006 0.96639 0.95956 0.94095 1.21635 1.01040 0.94111 1.02086 1.21647 0.95315 1.00934 1.00758 1.22281 0.81509 0.99326 0.97153 0.93186 0.92680 0.92918 0.91516 0.92217 0.92352 0.91948 0.88922 0.90192 0.77010 0.78183 0.75690 0.90717 0.92587 0.77300 0.93364 0.90986 0.93367 0.92693 0.92893 0.93144 0.91376 0.92012 0.91064 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 -0.15 -1.48 9.91 37.16 0.37 -1.11 16 2 C -0.13 -1.44 5.93 -26.73 -0.16 -1.60 16 3 C -0.11 -1.23 5.10 -26.73 -0.14 -1.37 16 4 C -0.13 -1.85 4.53 -26.73 -0.12 -1.97 16 5 C 0.16 2.11 2.43 -69.08 -0.17 1.94 16 6 H 0.11 1.19 7.52 -51.93 -0.39 0.80 16 7 N -0.73 -8.20 4.66 -59.81 -0.28 -8.48 16 8 C 0.71 9.61 7.59 -86.93 -0.66 8.95 16 9 N -0.87 -7.58 8.88 27.63 0.25 -7.33 16 10 O -0.56 -10.50 13.03 -18.21 -0.24 -10.74 16 11 C 0.51 8.69 6.84 -10.98 -0.08 8.62 16 12 O -0.52 -10.63 13.93 -17.93 -0.25 -10.88 16 13 N -0.61 -9.95 3.31 -170.39 -0.56 -10.51 16 14 C 0.07 1.18 5.61 -3.07 -0.02 1.16 16 15 C 0.18 3.31 2.84 -66.10 -0.19 3.12 16 16 H 0.06 1.18 8.02 -51.92 -0.42 0.76 16 17 N -0.71 -16.16 5.08 -51.65 -0.26 -16.42 16 18 C -0.25 -6.30 9.98 -15.06 -0.15 -6.45 16 19 H 0.07 1.75 7.83 -52.49 -0.41 1.34 16 20 C -0.01 -0.19 5.50 -17.43 -0.10 -0.29 16 21 N -0.93 -26.50 13.06 55.49 0.72 -25.77 16 22 Si 0.91 21.21 29.55 -169.99 -5.02 16.19 16 23 H -0.29 -6.82 7.11 56.52 0.40 -6.42 16 24 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 25 H -0.28 -6.38 7.11 56.52 0.40 -5.98 16 26 C -0.09 -1.37 0.87 -152.24 -0.13 -1.50 16 27 C -0.13 -2.20 7.95 37.16 0.30 -1.91 16 28 C -0.13 -1.86 8.68 37.16 0.32 -1.54 16 29 C 0.12 1.90 5.85 -2.41 -0.01 1.88 16 30 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 31 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 32 H 0.05 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.07 0.83 8.14 -51.93 -0.42 0.40 16 34 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 35 H 0.06 0.61 7.75 -51.93 -0.40 0.21 16 36 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 37 H 0.09 1.53 6.04 -51.93 -0.31 1.21 16 38 H 0.08 1.19 6.61 -51.93 -0.34 0.85 16 39 H 0.40 2.93 8.84 -40.82 -0.36 2.57 16 40 H 0.39 1.99 8.84 -40.82 -0.36 1.62 16 41 H 0.41 3.28 8.93 -40.82 -0.36 2.92 16 42 H 0.07 1.34 6.57 -51.93 -0.34 1.00 16 43 H 0.06 0.86 7.93 -51.93 -0.41 0.45 16 44 H 0.39 9.47 5.28 -40.82 -0.22 9.25 16 45 H 0.26 7.15 8.31 -40.82 -0.34 6.81 16 46 H 0.07 1.33 6.35 -51.92 -0.33 1.00 16 47 H 0.05 0.72 8.14 -51.93 -0.42 0.30 16 48 H 0.05 0.98 7.91 -51.93 -0.41 0.57 16 49 H 0.05 0.70 8.07 -51.93 -0.42 0.28 16 50 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 51 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 52 H 0.06 0.91 7.99 -51.93 -0.41 0.49 16 53 H 0.07 1.19 7.95 -51.93 -0.41 0.77 16 LS Contribution 412.47 15.07 6.22 6.22 Total: -1.00 -33.89 412.47 -9.62 -43.51 By element: Atomic # 1 Polarization: 25.54 SS G_CDS: -9.26 Total: 16.28 kcal Atomic # 6 Polarization: 8.87 SS G_CDS: -0.93 Total: 7.94 kcal Atomic # 7 Polarization: -68.38 SS G_CDS: -0.13 Total: -68.51 kcal Atomic # 8 Polarization: -21.13 SS G_CDS: -0.49 Total: -21.62 kcal Atomic # 14 Polarization: 21.21 SS G_CDS: -5.02 Total: 16.19 kcal Total LS contribution 6.22 Total: 6.22 kcal Total: -33.89 -9.62 -43.51 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. ZINC001677043021.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 -19.642 kcal (2) G-P(sol) polarization free energy of solvation -33.890 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.531 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.621 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.510 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.152 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds