Wall clock time and date at job start Sat Apr 11 2020 06:11:08 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 1.45204 * 1 3 3 C 1.34224 * 117.00068 * 2 1 4 4 O 1.20830 * 120.00089 * 0.02562 * 3 2 1 5 5 C 1.50704 * 120.00108 * 179.97438 * 3 2 1 6 6 C 1.52996 * 109.47340 * 180.02562 * 5 3 2 7 7 C 1.52997 * 109.47182 * 180.02562 * 6 5 3 8 8 C 1.53004 * 109.47383 * 179.97438 * 7 6 5 9 9 C 1.52997 * 109.47383 * 179.97438 * 8 7 6 10 10 N 1.46498 * 109.46938 * 180.02562 * 9 8 7 11 11 C 1.34782 * 119.99675 * 180.02562 * 10 9 8 12 12 O 1.21582 * 120.00071 * 4.97931 * 11 10 9 13 13 N 1.34774 * 119.99915 * 184.98301 * 11 10 9 14 14 C 1.46926 * 120.63121 * 174.77166 * 13 11 10 15 15 C 1.53195 * 108.89465 * 126.33965 * 14 13 11 16 16 C 1.53354 * 109.14570 * 54.57617 * 15 14 13 17 17 C 1.53002 * 109.41659 * 178.67459 * 16 15 14 18 18 C 1.50705 * 109.47219 * 295.13248 * 17 16 15 19 19 H 1.08004 * 119.99805 * 359.97438 * 18 17 16 20 20 C 1.37873 * 120.00149 * 179.97438 * 18 17 16 21 21 N 1.31511 * 119.99894 * 179.97438 * 20 18 17 22 22 Si 1.86797 * 119.99932 * 359.97438 * 20 18 17 23 23 H 1.48500 * 109.47110 * 90.00084 * 22 20 18 24 24 H 1.48504 * 109.47198 * 210.00044 * 22 20 18 25 25 H 1.48500 * 109.47417 * 330.00188 * 22 20 18 26 26 C 1.53040 * 109.60905 * 298.70899 * 16 15 14 27 27 C 1.46926 * 120.63157 * 354.78914 * 13 11 10 28 28 H 1.08994 * 109.47460 * 179.97438 * 1 2 3 29 29 H 1.09001 * 109.46730 * 299.99745 * 1 2 3 30 30 H 1.09002 * 109.46854 * 59.99351 * 1 2 3 31 31 H 1.09007 * 109.46781 * 60.00525 * 5 3 2 32 32 H 1.08998 * 109.47255 * 300.00890 * 5 3 2 33 33 H 1.08999 * 109.46917 * 60.00083 * 6 5 3 34 34 H 1.09004 * 109.47064 * 300.00255 * 6 5 3 35 35 H 1.09007 * 109.46974 * 60.00198 * 7 6 5 36 36 H 1.08998 * 109.47220 * 300.00466 * 7 6 5 37 37 H 1.08999 * 109.46688 * 59.99960 * 8 7 6 38 38 H 1.09004 * 109.47092 * 300.00256 * 8 7 6 39 39 H 1.09007 * 109.46974 * 60.00355 * 9 8 7 40 40 H 1.08998 * 109.47220 * 300.00624 * 9 8 7 41 41 H 0.96993 * 120.00686 * 359.97438 * 10 9 8 42 42 H 1.08999 * 109.58363 * 246.19988 * 14 13 11 43 43 H 1.09002 * 109.58625 * 6.48116 * 14 13 11 44 44 H 1.08997 * 109.49623 * 174.65400 * 15 14 13 45 45 H 1.09002 * 109.49577 * 294.75334 * 15 14 13 46 46 H 1.08994 * 109.42367 * 58.75582 * 16 15 14 47 47 H 1.09008 * 109.47043 * 55.12644 * 17 16 15 48 48 H 1.08992 * 109.47289 * 175.12966 * 17 16 15 49 49 H 0.97001 * 120.00130 * 180.02562 * 21 20 18 50 50 H 1.08993 * 109.50186 * 301.42491 * 26 16 15 51 51 H 1.09004 * 109.52060 * 181.34332 * 26 16 15 52 52 H 1.09010 * 109.58451 * 353.37613 * 27 13 11 53 53 H 1.08999 * 109.58904 * 113.65827 * 27 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 8 1.4520 0.0000 0.0000 3 6 2.0614 1.1959 0.0000 4 8 1.4034 2.2093 0.0005 5 6 3.5664 1.2748 0.0006 6 6 4.0002 2.7420 0.0011 7 6 5.5281 2.8220 0.0011 8 6 5.9620 4.2892 0.0009 9 6 7.4899 4.3693 0.0015 10 7 7.9053 5.7742 0.0020 11 6 9.2157 6.0894 0.0021 12 8 10.0521 5.2118 -0.0897 13 7 9.5989 7.3775 0.1039 14 6 11.0209 7.7285 0.2204 15 6 11.3709 8.7482 -0.8681 16 6 10.4149 9.9428 -0.7643 17 6 10.7801 10.9803 -1.8278 18 6 12.1507 11.5358 -1.5380 19 1 12.7056 11.1843 -0.6807 20 6 12.6962 12.4928 -2.3672 21 7 13.8921 12.9778 -2.1139 22 14 11.7368 13.1002 -3.8503 23 1 10.9078 14.2685 -3.4589 24 1 12.6834 13.5017 -4.9218 25 1 10.8563 12.0135 -4.3493 26 6 8.9763 9.4701 -0.9861 27 6 8.6026 8.4574 0.1010 28 1 -0.3634 -1.0276 -0.0005 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5139 -0.8900 31 1 3.9564 0.7806 -0.8893 32 1 3.9558 0.7808 0.8907 33 1 3.6102 3.2359 0.8911 34 1 3.6108 3.2363 -0.8889 35 1 5.9178 2.3282 -0.8892 36 1 5.9179 2.3275 0.8908 37 1 5.5723 4.7834 0.8909 38 1 5.5722 4.7833 -0.8891 39 1 7.8800 3.8750 -0.8883 40 1 7.8793 3.8753 0.8917 41 1 7.2373 6.4774 0.0016 42 1 11.2109 8.1622 1.2021 43 1 11.6298 6.8336 0.0922 44 1 12.3979 9.0870 -0.7324 45 1 11.2670 8.2836 -1.8487 46 1 10.5013 10.3913 0.2253 47 1 10.7796 10.5089 -2.8107 48 1 10.0496 11.7891 -1.8124 49 1 14.2758 13.6513 -2.6970 50 1 8.8950 8.9990 -1.9656 51 1 8.3005 10.3239 -0.9357 52 1 7.6161 8.0438 -0.1086 53 1 8.5937 8.9490 1.0738 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 ZINC000576223372.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 06:11:08 Heat of formation + Delta-G solvation = -144.901040 kcal Electronic energy + Delta-G solvation = -28715.383660 eV Core-core repulsion = 24586.138021 eV Total energy + Delta-G solvation = -4129.245639 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.73 seconds Orbital eigenvalues (eV) -40.96074 -40.27462 -37.76726 -37.27908 -36.46905 -34.65545 -34.02356 -32.21521 -31.65158 -30.59993 -28.86505 -28.29787 -26.63293 -24.62627 -23.38766 -22.60403 -21.74153 -21.58479 -20.99686 -19.95325 -19.19002 -18.06096 -17.92149 -17.27454 -16.98911 -16.68523 -16.31716 -16.19918 -15.46820 -14.74451 -14.55771 -14.34389 -14.23627 -14.07941 -13.84231 -13.70600 -13.46370 -13.30049 -13.07485 -12.93047 -12.68184 -12.53788 -12.43823 -12.31303 -11.99968 -11.75137 -11.58144 -11.49861 -11.46205 -11.33963 -11.13162 -11.01836 -10.97344 -10.84791 -10.64399 -10.34577 -10.00885 -9.79094 -9.67376 -9.47759 -9.15800 -9.05400 -8.52600 -8.27586 -6.03265 -4.00589 1.69299 2.18705 2.73501 3.30067 3.30683 3.38490 3.41775 3.88544 4.14507 4.24115 4.36167 4.45854 4.55990 4.58742 4.63404 4.68424 4.85231 4.93851 4.98607 5.05581 5.10027 5.16473 5.25688 5.28372 5.33282 5.33658 5.43254 5.53462 5.56264 5.62386 5.71132 5.77033 5.84117 5.85175 5.90237 5.92400 6.06977 6.24308 6.33089 6.42122 6.44627 6.57983 6.84084 6.89498 6.98882 7.11478 7.22122 7.24781 7.45056 7.80749 8.01078 8.54908 8.68407 9.01776 9.59793 11.10065 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.023275 B = 0.001429 C = 0.001372 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1202.721848 B =19593.986421 C =20399.121435 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.363 6.363 3 C 0.458 3.542 4 O -0.507 6.507 5 C -0.114 4.114 6 C -0.109 4.109 7 C -0.116 4.116 8 C -0.132 4.132 9 C 0.138 3.862 10 N -0.753 5.753 11 C 0.706 3.294 12 O -0.596 6.596 13 N -0.623 5.623 14 C 0.126 3.874 15 C -0.119 4.119 16 C -0.071 4.071 17 C -0.009 4.009 18 C -0.516 4.516 19 H 0.074 0.926 20 C 0.066 3.934 21 N -0.904 5.904 22 Si 0.878 3.122 23 H -0.278 1.278 24 H -0.289 1.289 25 H -0.267 1.267 26 C -0.133 4.133 27 C 0.114 3.886 28 H 0.101 0.899 29 H 0.063 0.937 30 H 0.063 0.937 31 H 0.108 0.892 32 H 0.107 0.893 33 H 0.073 0.927 34 H 0.073 0.927 35 H 0.070 0.930 36 H 0.070 0.930 37 H 0.070 0.930 38 H 0.070 0.930 39 H 0.065 0.935 40 H 0.063 0.937 41 H 0.395 0.605 42 H 0.062 0.938 43 H 0.087 0.913 44 H 0.089 0.911 45 H 0.057 0.943 46 H 0.064 0.936 47 H 0.015 0.985 48 H 0.010 0.990 49 H 0.262 0.738 50 H 0.061 0.939 51 H 0.070 0.930 52 H 0.066 0.934 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.261 -24.759 6.132 35.899 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 -0.059 4.059 2 O -0.279 6.279 3 C 0.301 3.699 4 O -0.395 6.395 5 C -0.152 4.152 6 C -0.147 4.147 7 C -0.154 4.154 8 C -0.169 4.169 9 C 0.014 3.986 10 N -0.411 5.411 11 C 0.408 3.592 12 O -0.474 6.474 13 N -0.360 5.360 14 C 0.004 3.996 15 C -0.157 4.157 16 C -0.090 4.090 17 C -0.046 4.046 18 C -0.554 4.554 19 H 0.092 0.908 20 C -0.135 4.135 21 N -0.543 5.543 22 Si 0.705 3.295 23 H -0.204 1.204 24 H -0.215 1.215 25 H -0.191 1.191 26 C -0.171 4.171 27 C -0.009 4.009 28 H 0.120 0.880 29 H 0.082 0.918 30 H 0.082 0.918 31 H 0.126 0.874 32 H 0.126 0.874 33 H 0.092 0.908 34 H 0.092 0.908 35 H 0.089 0.911 36 H 0.088 0.912 37 H 0.089 0.911 38 H 0.089 0.911 39 H 0.083 0.917 40 H 0.082 0.918 41 H 0.231 0.769 42 H 0.080 0.920 43 H 0.105 0.895 44 H 0.108 0.892 45 H 0.076 0.924 46 H 0.083 0.917 47 H 0.033 0.967 48 H 0.029 0.971 49 H 0.072 0.928 50 H 0.080 0.920 51 H 0.089 0.911 52 H 0.085 0.915 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -24.735 -24.996 6.019 35.677 hybrid contribution -1.058 0.938 -0.886 1.669 sum -25.793 -24.058 5.133 35.643 Atomic orbital electron populations 1.23280 0.76184 1.03789 1.02647 1.86513 1.23624 1.33677 1.84118 1.23957 0.92470 0.81269 0.72175 1.90692 1.67359 1.36351 1.45051 1.21467 0.87062 1.00511 1.06146 1.21452 0.95685 0.93490 1.04082 1.21481 0.94559 0.96255 1.03071 1.21784 0.94721 0.97364 1.03080 1.21152 0.93628 0.81563 1.02280 1.45298 1.05964 1.08530 1.81314 1.15839 0.82628 0.82998 0.77776 1.90888 1.51108 1.47224 1.58227 1.47369 1.08349 1.03694 1.76623 1.21659 0.79198 0.99567 0.99208 1.21969 1.01447 0.94684 0.97639 1.21046 0.91396 0.95725 1.00841 1.19617 0.97180 0.93598 0.94241 1.21144 1.00059 1.21708 1.12465 0.90799 1.25020 0.94752 0.96138 0.97564 1.69912 1.15990 1.29650 1.38766 0.86814 0.80086 0.79403 0.83153 1.20427 1.21488 1.19129 1.22062 0.99155 0.97861 0.98032 1.21654 0.90434 0.88763 1.00060 0.88024 0.91833 0.91830 0.87428 0.87448 0.90820 0.90801 0.91124 0.91160 0.91136 0.91081 0.91677 0.91837 0.76882 0.91952 0.89467 0.89243 0.92442 0.91737 0.96717 0.97128 0.92815 0.92028 0.91131 0.91532 0.91405 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 0.15 10.56 101.05 1.07 1.22 16 2 O -0.36 -2.39 10.57 -39.24 -0.41 -2.81 16 3 C 0.46 3.28 7.96 36.01 0.29 3.56 16 4 O -0.51 -5.19 15.73 -18.75 -0.30 -5.49 16 5 C -0.11 -0.47 5.81 -27.88 -0.16 -0.63 16 6 C -0.11 -0.54 4.50 -26.73 -0.12 -0.66 16 7 C -0.12 -0.52 5.21 -26.73 -0.14 -0.66 16 8 C -0.13 -0.77 5.33 -26.73 -0.14 -0.91 16 9 C 0.14 1.24 5.68 -4.04 -0.02 1.22 16 10 N -0.75 -8.25 5.47 -65.23 -0.36 -8.61 16 11 C 0.71 10.75 8.29 -86.91 -0.72 10.03 16 12 O -0.60 -11.30 15.77 5.29 0.08 -11.21 16 13 N -0.62 -9.09 2.97 -178.49 -0.53 -9.63 16 14 C 0.13 2.01 6.43 -3.71 -0.02 1.99 16 15 C -0.12 -2.17 5.21 -26.45 -0.14 -2.30 16 16 C -0.07 -1.32 2.10 -90.41 -0.19 -1.51 16 17 C -0.01 -0.21 3.52 -27.88 -0.10 -0.31 16 18 C -0.52 -14.20 8.94 -34.44 -0.31 -14.51 16 19 H 0.07 2.17 7.30 -52.48 -0.38 1.79 16 20 C 0.07 1.90 5.47 -17.82 -0.10 1.80 16 21 N -0.90 -27.62 13.96 55.43 0.77 -26.84 16 22 Si 0.88 21.60 27.47 -169.99 -4.67 16.93 16 23 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 24 H -0.29 -7.10 7.11 56.52 0.40 -6.70 16 25 H -0.27 -6.33 6.54 56.52 0.37 -5.96 16 26 C -0.13 -1.94 5.36 -26.61 -0.14 -2.08 16 27 C 0.11 1.37 6.39 -3.71 -0.02 1.35 16 28 H 0.10 0.19 8.14 -51.93 -0.42 -0.23 16 29 H 0.06 0.28 8.13 -51.93 -0.42 -0.14 16 30 H 0.06 0.29 8.13 -51.93 -0.42 -0.14 16 31 H 0.11 0.29 8.14 -51.92 -0.42 -0.14 16 32 H 0.11 0.27 8.14 -51.93 -0.42 -0.15 16 33 H 0.07 0.42 8.10 -51.93 -0.42 0.00 16 34 H 0.07 0.44 8.10 -51.93 -0.42 0.01 16 35 H 0.07 0.30 8.14 -51.92 -0.42 -0.13 16 36 H 0.07 0.28 8.14 -51.93 -0.42 -0.14 16 37 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 38 H 0.07 0.41 8.14 -51.93 -0.42 -0.01 16 39 H 0.06 0.66 8.14 -51.92 -0.42 0.23 16 40 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 41 H 0.39 3.41 5.96 -40.82 -0.24 3.17 16 42 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 43 H 0.09 1.47 6.99 -51.93 -0.36 1.11 16 44 H 0.09 1.80 6.93 -51.93 -0.36 1.44 16 45 H 0.06 1.09 8.14 -51.93 -0.42 0.67 16 46 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 47 H 0.01 0.35 7.20 -51.92 -0.37 -0.03 16 48 H 0.01 0.24 7.57 -51.93 -0.39 -0.15 16 49 H 0.26 7.54 8.31 -40.82 -0.34 7.20 16 50 H 0.06 0.94 8.14 -51.93 -0.42 0.51 16 51 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 52 H 0.07 0.61 5.65 -51.92 -0.29 0.32 16 53 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 LS Contribution 419.96 15.07 6.33 6.33 Total: -1.00 -35.54 419.96 -9.66 -45.20 By element: Atomic # 1 Polarization: 8.11 SS G_CDS: -9.60 Total: -1.49 kcal Atomic # 6 Polarization: -1.41 SS G_CDS: -0.98 Total: -2.39 kcal Atomic # 7 Polarization: -44.96 SS G_CDS: -0.11 Total: -45.08 kcal Atomic # 8 Polarization: -18.88 SS G_CDS: -0.63 Total: -19.51 kcal Atomic # 14 Polarization: 21.60 SS G_CDS: -4.67 Total: 16.93 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -35.54 -9.66 -45.20 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. ZINC000576223372.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 -99.700 kcal (2) G-P(sol) polarization free energy of solvation -35.540 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -135.240 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.661 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.201 kcal (6) G-S(sol) free energy of system = (1) + (5) -144.901 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds