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 1.52997 * 1 3 3 C 1.52995 * 109.47600 * 2 1 4 4 C 1.52990 * 109.47353 * 180.02562 * 3 2 1 5 5 C 1.50703 * 109.47398 * 179.97438 * 4 3 2 6 6 O 1.21283 * 119.99488 * 359.97438 * 5 4 3 7 7 N 1.34777 * 120.00290 * 180.02562 * 5 4 3 8 8 C 1.46498 * 119.99828 * 180.27728 * 7 5 4 9 9 C 1.52996 * 109.47059 * 179.72339 * 8 7 5 10 10 N 1.46896 * 109.47256 * 180.02562 * 9 8 7 11 11 C 1.46956 * 110.99700 * 293.79427 * 10 9 8 12 12 C 1.53057 * 109.36567 * 176.81222 * 11 10 9 13 13 N 1.46954 * 109.36119 * 58.40464 * 12 11 10 14 14 C 1.46910 * 110.99727 * 176.81619 * 13 12 11 15 15 C 1.50700 * 109.46852 * 293.79645 * 14 13 12 16 16 O 1.21298 * 119.99857 * 359.97438 * 15 14 13 17 17 N 1.34774 * 119.99975 * 180.02562 * 15 14 13 18 18 C 1.37097 * 119.99676 * 179.97438 * 17 15 14 19 19 H 1.07997 * 120.00708 * 0.02562 * 18 17 15 20 20 C 1.38950 * 119.99714 * 179.97438 * 18 17 15 21 21 N 1.31411 * 120.00380 * 359.97438 * 20 18 17 22 22 Si 1.86806 * 119.99910 * 180.02562 * 20 18 17 23 23 H 1.48503 * 109.46917 * 90.00075 * 22 20 18 24 24 H 1.48501 * 109.46839 * 209.99729 * 22 20 18 25 25 H 1.48489 * 109.47161 * 329.99749 * 22 20 18 26 26 C 1.46955 * 110.88206 * 300.67565 * 13 12 11 27 27 C 1.46961 * 111.00124 * 170.00033 * 10 9 8 28 28 H 1.09007 * 109.47500 * 180.02562 * 1 2 3 29 29 H 1.08998 * 109.47382 * 300.00476 * 1 2 3 30 30 H 1.09005 * 109.46800 * 60.00677 * 1 2 3 31 31 H 1.08999 * 109.46950 * 239.99208 * 2 1 3 32 32 H 1.09003 * 109.46788 * 120.00282 * 2 1 3 33 33 H 1.08998 * 109.47142 * 59.99377 * 3 2 1 34 34 H 1.09011 * 109.46657 * 299.99934 * 3 2 1 35 35 H 1.08998 * 109.47508 * 59.99597 * 4 3 2 36 36 H 1.09002 * 109.47337 * 299.99883 * 4 3 2 37 37 H 0.97001 * 119.99727 * 359.97438 * 7 5 4 38 38 H 1.09004 * 109.46963 * 299.72135 * 8 7 5 39 39 H 1.08994 * 109.47567 * 59.72287 * 8 7 5 40 40 H 1.09004 * 109.47066 * 299.99732 * 9 8 7 41 41 H 1.09000 * 109.47665 * 59.99541 * 9 8 7 42 42 H 1.08999 * 109.49195 * 296.77993 * 11 10 9 43 43 H 1.08994 * 109.48776 * 56.84829 * 11 10 9 44 44 H 1.09001 * 109.48449 * 298.43650 * 12 11 10 45 45 H 1.09000 * 109.48760 * 178.37211 * 12 11 10 46 46 H 1.08995 * 109.47072 * 53.79775 * 14 13 12 47 47 H 1.09001 * 109.46751 * 173.80075 * 14 13 12 48 48 H 0.96994 * 119.99844 * 359.97438 * 17 15 14 49 49 H 0.96996 * 120.00396 * 180.02562 * 21 20 18 50 50 H 1.08999 * 109.49196 * 299.35935 * 26 13 12 51 51 H 1.09000 * 109.50922 * 179.29984 * 26 13 12 52 52 H 1.09000 * 109.48982 * 303.14979 * 27 10 9 53 53 H 1.09000 * 109.48854 * 63.21719 * 27 10 9 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 2.0401 1.4424 0.0000 4 6 3.5700 1.4423 -0.0006 5 6 4.0724 2.8631 -0.0013 6 8 3.2843 3.7850 -0.0017 7 7 5.3975 3.1094 -0.0024 8 6 5.8859 4.4905 0.0031 9 6 7.4158 4.4905 0.0074 10 7 7.9056 5.8754 0.0136 11 6 7.5628 6.5607 -1.2404 12 6 8.0190 8.0196 -1.1626 13 7 9.4676 8.0649 -0.9201 14 6 9.9574 9.4499 -0.9139 15 6 9.8093 10.0412 -2.2922 16 8 9.3422 9.3742 -3.1912 17 7 10.1967 11.3106 -2.5260 18 6 10.0624 11.8483 -3.7800 19 1 9.6458 11.2548 -4.5803 20 6 10.4614 13.1573 -4.0210 21 7 10.9670 13.8801 -3.0469 22 14 10.2778 13.8901 -5.7295 23 1 8.9463 14.5365 -5.8503 24 1 11.3414 14.9026 -5.9506 25 1 10.3998 12.8141 -6.7454 26 6 9.8105 7.3796 0.3339 27 6 9.3543 5.9207 0.2561 28 1 -0.3634 -1.0277 0.0005 29 1 -0.3634 0.5139 0.8899 30 1 -0.3633 0.5138 -0.8901 31 1 1.8933 -0.5140 -0.8899 32 1 1.8933 -0.5139 0.8900 33 1 1.6767 1.9563 0.8899 34 1 1.6767 1.9562 -0.8901 35 1 3.9330 0.9286 -0.8908 36 1 3.9337 0.9284 0.8891 37 1 6.0278 2.3720 -0.0025 38 1 5.5251 5.0070 -0.8864 39 1 5.5201 5.0018 0.8935 40 1 7.7766 3.9740 0.8969 41 1 7.7818 3.9793 -0.8830 42 1 8.0636 6.0671 -2.0733 43 1 6.4840 6.5246 -1.3914 44 1 7.4978 8.5205 -0.3467 45 1 7.7917 8.5223 -2.1026 46 1 9.3772 10.0373 -0.2023 47 1 11.0081 9.4624 -0.6242 48 1 10.5706 11.8438 -1.8072 49 1 11.2452 14.7939 -3.2151 50 1 9.3097 7.8732 1.1668 51 1 10.8893 7.4157 0.4852 52 1 9.5816 5.4180 1.1961 53 1 9.8754 5.4198 -0.5598 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 ZINC001265255780.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 = -76.027973 kcal Electronic energy + Delta-G solvation = -29009.153438 eV Core-core repulsion = 24915.187110 eV Total energy + Delta-G solvation = -4093.966328 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -40.09566 -39.38342 -37.97799 -36.17040 -35.58376 -34.44820 -33.76364 -31.34082 -31.21161 -30.77473 -29.80969 -27.57445 -25.49292 -24.62699 -23.73256 -23.32138 -21.87678 -21.50093 -20.59316 -19.69549 -19.16632 -17.84457 -17.26944 -16.63099 -16.49010 -15.96157 -15.73764 -15.58189 -14.94583 -14.90376 -14.67632 -14.51401 -14.30602 -14.11114 -14.02311 -13.76694 -13.72225 -13.34675 -13.30870 -12.96070 -12.73302 -12.29440 -12.09771 -11.84185 -11.77472 -11.68475 -11.60621 -11.49085 -11.39946 -11.29498 -11.10740 -11.02467 -10.98927 -10.67436 -10.60706 -10.37471 -10.20152 -10.10471 -9.45782 -9.33798 -8.53207 -8.37888 -7.95880 -7.81385 -6.40059 -3.80764 2.37811 2.77414 3.18999 3.27590 3.33437 3.85733 3.92813 4.02021 4.26551 4.34440 4.41741 4.52104 4.57992 4.77719 4.85418 4.87417 4.92322 5.04680 5.04950 5.15929 5.22368 5.23503 5.27285 5.37884 5.40596 5.42184 5.47087 5.53040 5.55344 5.61608 5.69244 5.72832 5.74882 5.81221 5.84568 5.90403 5.94000 5.96287 5.98324 6.11041 6.23816 6.30665 6.43682 6.87177 6.92459 7.17161 7.32336 7.43506 7.56837 7.94577 8.08343 8.63796 9.19938 9.56536 10.08409 10.77715 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.018498 B = 0.001564 C = 0.001468 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1513.277652 B =17900.102228 C =19072.230889 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.125 4.125 3 C -0.106 4.106 4 C -0.140 4.140 5 C 0.510 3.490 6 O -0.537 6.537 7 N -0.733 5.733 8 C 0.120 3.880 9 C 0.046 3.954 10 N -0.538 5.538 11 C 0.057 3.943 12 C 0.055 3.945 13 N -0.517 5.517 14 C 0.047 3.953 15 C 0.444 3.556 16 O -0.579 6.579 17 N -0.564 5.564 18 C -0.299 4.299 19 H 0.103 0.897 20 C 0.023 3.977 21 N -0.902 5.902 22 Si 0.929 3.071 23 H -0.278 1.278 24 H -0.284 1.284 25 H -0.270 1.270 26 C 0.056 3.944 27 C 0.062 3.938 28 H 0.053 0.947 29 H 0.055 0.945 30 H 0.055 0.945 31 H 0.061 0.939 32 H 0.061 0.939 33 H 0.070 0.930 34 H 0.070 0.930 35 H 0.093 0.907 36 H 0.092 0.908 37 H 0.399 0.601 38 H 0.070 0.930 39 H 0.076 0.924 40 H 0.078 0.922 41 H 0.040 0.960 42 H 0.046 0.954 43 H 0.078 0.922 44 H 0.032 0.968 45 H 0.108 0.892 46 H 0.048 0.952 47 H 0.088 0.912 48 H 0.392 0.608 49 H 0.271 0.729 50 H 0.039 0.961 51 H 0.078 0.922 52 H 0.076 0.924 53 H 0.044 0.956 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.880 -25.954 11.405 30.022 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 -0.211 4.211 2 C -0.162 4.162 3 C -0.144 4.144 4 C -0.180 4.180 5 C 0.296 3.704 6 O -0.414 6.414 7 N -0.385 5.385 8 C -0.004 4.004 9 C -0.082 4.082 10 N -0.263 5.263 11 C -0.071 4.071 12 C -0.073 4.073 13 N -0.242 5.242 14 C -0.085 4.085 15 C 0.229 3.771 16 O -0.463 6.463 17 N -0.201 5.201 18 C -0.428 4.428 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 -0.204 1.204 24 H -0.209 1.209 25 H -0.194 1.194 26 C -0.073 4.073 27 C -0.066 4.066 28 H 0.072 0.928 29 H 0.074 0.926 30 H 0.074 0.926 31 H 0.080 0.920 32 H 0.080 0.920 33 H 0.088 0.912 34 H 0.089 0.911 35 H 0.111 0.889 36 H 0.111 0.889 37 H 0.233 0.767 38 H 0.089 0.911 39 H 0.095 0.905 40 H 0.096 0.904 41 H 0.058 0.942 42 H 0.064 0.936 43 H 0.097 0.903 44 H 0.050 0.950 45 H 0.126 0.874 46 H 0.066 0.934 47 H 0.106 0.894 48 H 0.225 0.775 49 H 0.081 0.919 50 H 0.057 0.943 51 H 0.097 0.903 52 H 0.095 0.905 53 H 0.062 0.938 Dipole moment (debyes) X Y Z Total from point charges -10.687 -25.504 10.783 29.681 hybrid contribution 0.692 0.487 -0.306 0.901 sum -9.995 -25.017 10.477 28.905 Atomic orbital electron populations 1.21765 0.95649 1.01557 1.02119 1.21545 0.96232 0.96522 1.01933 1.21387 0.92605 0.96667 1.03773 1.21703 0.98309 0.93669 1.04339 1.20769 0.81956 0.91871 0.75773 1.90735 1.55199 1.46607 1.48824 1.45980 1.07300 1.09041 1.76201 1.21331 0.93405 0.82353 1.03328 1.22174 0.94164 0.90582 1.01303 1.62100 1.14512 1.13815 1.35901 1.22262 1.00356 0.94877 0.89557 1.22326 0.86721 0.95348 1.02881 1.61760 1.14797 1.14996 1.32680 1.21834 1.00951 0.88722 0.96952 1.19752 0.84778 0.83003 0.89520 1.90478 1.49376 1.60606 1.45834 1.41864 1.55419 1.10786 1.11997 1.19696 1.39080 0.96127 0.87923 0.87933 1.25248 0.96925 0.96303 0.99412 1.69610 1.42443 1.10085 1.32207 0.85869 0.77854 0.78720 0.81914 1.20436 1.20943 1.19439 1.22167 1.00362 0.93637 0.91134 1.22121 0.86823 0.96932 1.00683 0.92775 0.92633 0.92594 0.91990 0.92025 0.91159 0.91125 0.88912 0.88937 0.76725 0.91148 0.90544 0.90378 0.94161 0.93564 0.90344 0.95011 0.87423 0.93382 0.89384 0.77497 0.91900 0.94263 0.90345 0.90540 0.93784 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 -0.81 9.91 37.16 0.37 -0.44 16 2 C -0.12 -0.63 5.93 -26.73 -0.16 -0.79 16 3 C -0.11 -0.73 4.50 -26.74 -0.12 -0.85 16 4 C -0.14 -0.80 5.70 -27.89 -0.16 -0.95 16 5 C 0.51 4.81 7.83 -10.98 -0.09 4.72 16 6 O -0.54 -7.60 15.98 5.55 0.09 -7.51 16 7 N -0.73 -5.56 5.56 -60.30 -0.33 -5.89 16 8 C 0.12 1.15 5.61 -4.04 -0.02 1.13 16 9 C 0.05 0.41 5.07 -3.83 -0.02 0.39 16 10 N -0.54 -6.27 4.71 -234.46 -1.10 -7.38 16 11 C 0.06 0.80 5.41 -3.76 -0.02 0.78 16 12 C 0.06 0.93 5.26 -3.77 -0.02 0.91 16 13 N -0.52 -8.73 4.45 -235.90 -1.05 -9.78 16 14 C 0.05 0.84 5.45 -4.97 -0.03 0.82 16 15 C 0.44 10.49 7.48 -10.99 -0.08 10.41 16 16 O -0.58 -15.51 13.92 5.54 0.08 -15.44 16 17 N -0.56 -14.32 5.29 -10.96 -0.06 -14.38 16 18 C -0.30 -8.34 9.68 -14.93 -0.14 -8.49 16 19 H 0.10 3.00 7.16 -52.49 -0.38 2.63 16 20 C 0.02 0.61 5.50 -17.47 -0.10 0.51 16 21 N -0.90 -24.62 13.05 55.50 0.72 -23.89 16 22 Si 0.93 21.15 29.55 -169.99 -5.02 16.13 16 23 H -0.28 -6.27 7.11 56.52 0.40 -5.87 16 24 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 25 H -0.27 -6.14 7.11 56.52 0.40 -5.74 16 26 C 0.06 0.72 5.61 -3.76 -0.02 0.70 16 27 C 0.06 0.70 5.61 -3.76 -0.02 0.68 16 28 H 0.05 0.24 8.14 -51.93 -0.42 -0.18 16 29 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 30 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 31 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 32 H 0.06 0.27 8.14 -51.93 -0.42 -0.16 16 33 H 0.07 0.57 8.10 -51.93 -0.42 0.15 16 34 H 0.07 0.59 8.10 -51.92 -0.42 0.16 16 35 H 0.09 0.37 8.14 -51.93 -0.42 -0.05 16 36 H 0.09 0.35 8.14 -51.93 -0.42 -0.08 16 37 H 0.40 1.75 8.47 -40.82 -0.35 1.41 16 38 H 0.07 0.81 6.50 -51.93 -0.34 0.47 16 39 H 0.08 0.86 8.14 -51.93 -0.42 0.44 16 40 H 0.08 0.56 8.03 -51.93 -0.42 0.14 16 41 H 0.04 0.35 8.12 -51.93 -0.42 -0.08 16 42 H 0.05 0.70 8.14 -51.93 -0.42 0.27 16 43 H 0.08 1.03 6.34 -51.93 -0.33 0.70 16 44 H 0.03 0.52 8.14 -51.93 -0.42 0.10 16 45 H 0.11 2.18 5.85 -51.93 -0.30 1.87 16 46 H 0.05 0.81 8.12 -51.93 -0.42 0.39 16 47 H 0.09 1.43 8.03 -51.93 -0.42 1.01 16 48 H 0.39 9.54 7.90 -40.82 -0.32 9.21 16 49 H 0.27 7.01 8.31 -40.82 -0.34 6.67 16 50 H 0.04 0.51 8.14 -51.93 -0.42 0.08 16 51 H 0.08 0.91 8.07 -51.93 -0.42 0.49 16 52 H 0.08 0.68 8.07 -51.93 -0.42 0.26 16 53 H 0.04 0.53 8.14 -51.93 -0.42 0.10 16 LS Contribution 421.23 15.07 6.35 6.35 Total: -1.00 -33.61 421.23 -10.54 -44.15 By element: Atomic # 1 Polarization: 17.69 SS G_CDS: -9.58 Total: 8.11 kcal Atomic # 6 Polarization: 10.15 SS G_CDS: -0.63 Total: 9.52 kcal Atomic # 7 Polarization: -59.50 SS G_CDS: -1.82 Total: -61.32 kcal Atomic # 8 Polarization: -23.11 SS G_CDS: 0.17 Total: -22.94 kcal Atomic # 14 Polarization: 21.15 SS G_CDS: -5.02 Total: 16.13 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -33.61 -10.54 -44.15 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. ZINC001265255780.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 -31.880 kcal (2) G-P(sol) polarization free energy of solvation -33.607 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -65.488 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.540 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.148 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.028 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds