Wall clock time and date at job start Tue Mar 31 2020 19:53:57 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 1.53007 * 1 3 3 H 1.08999 * 109.47379 * 2 1 4 4 C 1.53001 * 109.46736 * 240.00285 * 2 1 3 5 5 C 1.53006 * 109.47103 * 180.02562 * 4 2 1 6 6 C 1.53000 * 109.46839 * 59.99722 * 5 4 2 7 7 C 1.52992 * 109.47449 * 300.00221 * 6 5 4 8 8 C 1.52998 * 109.47266 * 60.00315 * 7 6 5 9 9 H 1.08991 * 109.47153 * 59.99818 * 8 7 6 10 10 C 1.53004 * 109.47347 * 180.02562 * 8 7 6 11 11 C 1.50699 * 109.46986 * 294.99862 * 10 8 7 12 12 O 1.21283 * 119.99717 * 0.02562 * 11 10 8 13 13 N 1.34770 * 120.00374 * 180.02562 * 11 10 8 14 14 C 1.47134 * 121.05806 * 359.97438 * 13 11 10 15 15 C 1.53228 * 108.73317 * 232.26936 * 14 13 11 16 16 O 1.43125 * 109.34875 * 305.80377 * 15 14 13 17 17 C 1.42366 * 113.99162 * 59.78082 * 16 15 14 18 18 C 1.52922 * 114.29550 * 74.94366 * 17 16 15 19 19 N 1.47172 * 87.84383 * 88.28079 * 18 17 16 20 20 C 1.36932 * 136.00032 * 206.65057 * 19 18 17 21 21 H 1.08007 * 120.00381 * 8.60341 * 20 19 18 22 22 C 1.38814 * 120.00407 * 188.60767 * 20 19 18 23 23 N 1.31622 * 119.99837 * 18.56687 * 22 20 19 24 24 Si 1.86795 * 120.00321 * 198.57293 * 22 20 19 25 25 H 1.48502 * 109.47077 * 359.97438 * 24 22 20 26 26 H 1.48506 * 109.47087 * 239.99435 * 24 22 20 27 27 H 1.48498 * 109.47401 * 119.99634 * 24 22 20 28 28 C 1.47180 * 88.00093 * 26.89671 * 19 18 17 29 29 C 1.47352 * 121.06655 * 179.97438 * 13 11 10 30 30 H 1.08999 * 109.46632 * 299.99889 * 1 2 3 31 31 H 1.08995 * 109.46722 * 59.99618 * 1 2 3 32 32 H 1.08995 * 109.46678 * 179.97438 * 1 2 3 33 33 H 1.09008 * 109.47426 * 299.99652 * 4 2 1 34 34 H 1.08994 * 109.47713 * 59.99803 * 4 2 1 35 35 H 1.08999 * 109.47000 * 179.97438 * 5 4 2 36 36 H 1.08991 * 109.46929 * 300.00099 * 5 4 2 37 37 H 1.09008 * 109.47206 * 60.00690 * 6 5 4 38 38 H 1.09000 * 109.46706 * 179.97438 * 6 5 4 39 39 H 1.09005 * 109.47202 * 299.99894 * 7 6 5 40 40 H 1.09002 * 109.47361 * 180.02562 * 7 6 5 41 41 H 1.08992 * 109.47199 * 174.99526 * 10 8 7 42 42 H 1.09010 * 109.47092 * 54.99560 * 10 8 7 43 43 H 1.08994 * 109.59373 * 112.49524 * 14 13 11 44 44 H 1.08996 * 109.59474 * 352.04152 * 14 13 11 45 45 H 1.09004 * 109.49158 * 185.84711 * 15 14 13 46 46 H 1.08993 * 109.51733 * 65.78423 * 15 14 13 47 47 H 1.08996 * 113.49388 * 333.53641 * 18 17 16 48 48 H 1.08999 * 113.54965 * 203.02391 * 18 17 16 49 49 H 0.97005 * 119.99734 * 5.70135 * 23 22 20 50 50 H 1.08998 * 113.48469 * 87.84672 * 28 19 18 51 51 H 1.08996 * 113.48913 * 218.35131 * 28 19 18 52 52 H 1.09000 * 109.74617 * 12.14375 * 29 13 11 53 53 H 1.08995 * 109.75259 * 251.41509 * 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 1 1.8934 1.0276 0.0000 4 6 2.0400 -0.7212 -1.2493 5 6 3.5700 -0.7218 -1.2491 6 6 4.0795 -1.4435 0.0002 7 6 3.5696 -0.7223 1.2494 8 6 2.0396 -0.7218 1.2492 9 1 1.6759 -1.7492 1.2489 10 6 1.5296 0.0000 2.4982 11 6 1.9278 -0.7782 3.7258 12 8 2.5579 -1.8083 3.6128 13 7 1.5838 -0.3294 4.9491 14 6 0.8202 0.9175 5.1132 15 6 1.5586 1.8195 6.1077 16 8 1.7890 1.0976 7.3220 17 6 2.5696 -0.0812 7.1554 18 6 4.0610 0.1773 6.9377 19 7 4.2219 0.1532 8.4004 20 6 5.0921 0.7009 9.3048 21 1 5.8161 1.4344 8.9818 22 6 5.0439 0.3133 10.6369 23 7 4.4445 -0.8088 10.9745 24 14 5.8293 1.3844 11.9503 25 1 6.4341 2.5829 11.3153 26 1 6.8846 0.6116 12.6535 27 1 4.7942 1.8101 12.9263 28 6 3.0410 -0.7229 8.4642 29 6 1.9604 -1.0718 6.1650 30 1 -0.3632 0.5138 0.8900 31 1 -0.3632 0.5139 -0.8899 32 1 -0.3632 -1.0276 -0.0005 33 1 1.6767 -1.7490 -1.2494 34 1 1.6767 -0.2074 -2.1393 35 1 3.9333 -1.2360 -2.1389 36 1 3.9337 0.3056 -1.2488 37 1 3.7158 -2.4711 -0.0001 38 1 5.1695 -1.4443 0.0001 39 1 3.9333 0.3052 1.2497 40 1 3.9329 -1.2362 2.1394 41 1 0.4434 0.0786 2.4543 42 1 1.9647 0.9985 2.5440 43 1 -0.1746 0.6892 5.4957 44 1 0.7371 1.4245 4.1520 45 1 0.9531 2.7011 6.3181 46 1 2.5131 2.1273 5.6809 47 1 4.2732 1.1497 6.4932 48 1 4.5751 -0.6392 6.4307 49 1 4.1094 -1.4055 10.2870 50 1 3.2801 -1.7819 8.3674 51 1 2.3895 -0.5127 9.3124 52 1 2.6922 -1.8401 5.9155 53 1 1.0757 -1.5335 6.6035 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001053547155.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 19:53:57 Heat of formation + Delta-G solvation = -36.804690 kcal Electronic energy + Delta-G solvation = -30945.521854 eV Core-core repulsion = 27011.419676 eV Total energy + Delta-G solvation = -3934.102178 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -40.74877 -39.65246 -38.34141 -36.53736 -34.58514 -33.38481 -32.52607 -32.17434 -30.13835 -28.66119 -27.46774 -26.41654 -25.41651 -25.01650 -23.47724 -22.54479 -21.72256 -21.10849 -19.95590 -19.25526 -18.87175 -17.47041 -17.24045 -16.33792 -15.86929 -15.49496 -15.26393 -14.85227 -14.69875 -14.59804 -14.49856 -14.20270 -14.10940 -13.85418 -13.66147 -13.46076 -13.19845 -13.02540 -12.73344 -12.59850 -12.38851 -12.16535 -11.92590 -11.81975 -11.72493 -11.44257 -11.27927 -11.17983 -11.03813 -10.95496 -10.69348 -10.61057 -10.43829 -10.33831 -10.16411 -10.10433 -10.03159 -9.60181 -9.45583 -9.28160 -8.69115 -8.33542 -7.01740 -6.10757 -3.11899 2.61481 2.87204 3.51023 3.57214 3.67825 3.88710 4.28179 4.36273 4.45646 4.51149 4.63913 4.76355 4.78265 4.86027 4.92685 4.96114 5.03942 5.05111 5.12522 5.16662 5.21784 5.24308 5.31547 5.34043 5.35922 5.48116 5.51839 5.53732 5.56491 5.60928 5.66268 5.69212 5.77027 5.78330 5.86563 5.94107 5.97787 6.01599 6.04837 6.11345 6.17759 6.29031 6.31455 6.35017 6.36761 6.45265 6.65294 6.70773 7.26718 7.36118 7.63693 8.16302 8.31459 8.92639 9.77296 10.48758 11.30683 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.021384 B = 0.002576 C = 0.002453 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1309.050215 B =10865.843088 C =11413.357886 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 -0.088 4.088 3 H 0.070 0.930 4 C -0.112 4.112 5 C -0.120 4.120 6 C -0.117 4.117 7 C -0.121 4.121 8 C -0.063 4.063 9 H 0.078 0.922 10 C -0.139 4.139 11 C 0.515 3.485 12 O -0.536 6.536 13 N -0.614 5.614 14 C 0.073 3.927 15 C 0.045 3.955 16 O -0.334 6.334 17 C 0.055 3.945 18 C 0.102 3.898 19 N -0.606 5.606 20 C -0.311 4.311 21 H 0.074 0.926 22 C -0.033 4.033 23 N -0.933 5.933 24 Si 1.082 2.918 25 H -0.293 1.293 26 H -0.293 1.293 27 H -0.289 1.289 28 C 0.152 3.848 29 C 0.103 3.897 30 H 0.057 0.943 31 H 0.053 0.947 32 H 0.055 0.945 33 H 0.061 0.939 34 H 0.059 0.941 35 H 0.058 0.942 36 H 0.059 0.941 37 H 0.061 0.939 38 H 0.059 0.941 39 H 0.054 0.946 40 H 0.084 0.916 41 H 0.094 0.906 42 H 0.091 0.909 43 H 0.077 0.923 44 H 0.091 0.909 45 H 0.103 0.897 46 H 0.054 0.946 47 H 0.042 0.958 48 H 0.039 0.961 49 H 0.265 0.735 50 H 0.050 0.950 51 H 0.064 0.936 52 H 0.102 0.898 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.231 3.206 -24.380 26.633 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 -0.106 4.106 3 H 0.088 0.912 4 C -0.150 4.150 5 C -0.158 4.158 6 C -0.155 4.155 7 C -0.159 4.159 8 C -0.082 4.082 9 H 0.096 0.904 10 C -0.179 4.179 11 C 0.304 3.696 12 O -0.413 6.413 13 N -0.348 5.348 14 C -0.050 4.050 15 C -0.033 4.033 16 O -0.252 6.252 17 C 0.013 3.987 18 C -0.024 4.024 19 N -0.333 5.333 20 C -0.438 4.438 21 H 0.092 0.908 22 C -0.232 4.232 23 N -0.575 5.575 24 Si 0.912 3.088 25 H -0.219 1.219 26 H -0.221 1.221 27 H -0.216 1.216 28 C 0.025 3.975 29 C -0.020 4.020 30 H 0.076 0.924 31 H 0.072 0.928 32 H 0.074 0.926 33 H 0.080 0.920 34 H 0.078 0.922 35 H 0.077 0.923 36 H 0.078 0.922 37 H 0.080 0.920 38 H 0.078 0.922 39 H 0.072 0.928 40 H 0.102 0.898 41 H 0.113 0.887 42 H 0.109 0.891 43 H 0.096 0.904 44 H 0.109 0.891 45 H 0.121 0.879 46 H 0.072 0.928 47 H 0.060 0.940 48 H 0.057 0.943 49 H 0.076 0.924 50 H 0.067 0.933 51 H 0.082 0.918 52 H 0.120 0.880 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -9.528 3.028 -22.436 24.563 hybrid contribution -0.110 -0.167 -1.920 1.930 sum -9.638 2.861 -24.356 26.350 Atomic orbital electron populations 1.21924 0.95422 1.01934 1.01585 1.21180 0.95251 0.99591 0.94602 0.91202 1.21565 0.95635 1.00656 0.97104 1.21556 0.95589 1.00683 0.97952 1.21495 1.00075 0.99516 0.94373 1.21716 0.94511 1.00487 0.99153 1.20931 0.96080 0.99640 0.91564 0.90398 1.21867 1.02853 1.00288 0.92856 1.20693 0.79036 0.85735 0.84148 1.90666 1.39828 1.24790 1.85984 1.48257 1.55637 1.24694 1.06198 1.22442 0.95846 0.85674 1.01055 1.22898 0.99628 0.94400 0.86350 1.87995 1.71181 1.37174 1.28830 1.23174 0.91017 0.86393 0.98115 1.22838 0.92147 0.98828 0.88595 1.45713 1.31172 1.56112 1.00286 1.19801 1.14633 1.19346 0.90003 0.90809 1.25832 1.01247 0.99180 0.96948 1.70717 1.40977 1.09286 1.36555 0.83263 0.75684 0.74522 0.75361 1.21935 1.22070 1.21581 1.22185 0.88721 0.93704 0.92887 1.22115 1.01069 0.95135 0.83724 0.92449 0.92770 0.92630 0.92005 0.92197 0.92344 0.92178 0.92049 0.92250 0.92752 0.89783 0.88746 0.89060 0.90449 0.89107 0.87905 0.92762 0.93974 0.94307 0.92359 0.93252 0.91792 0.87951 0.90877 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.95 8.85 37.16 0.33 -0.63 16 2 C -0.09 -0.64 2.25 -90.61 -0.20 -0.85 16 3 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 4 C -0.11 -0.81 5.20 -26.73 -0.14 -0.95 16 5 C -0.12 -0.93 5.92 -26.73 -0.16 -1.09 16 6 C -0.12 -1.10 5.92 -26.74 -0.16 -1.26 16 7 C -0.12 -1.29 4.94 -26.74 -0.13 -1.42 16 8 C -0.06 -0.59 1.36 -90.62 -0.12 -0.72 16 9 H 0.08 0.86 7.96 -51.93 -0.41 0.44 16 10 C -0.14 -1.27 3.33 -27.88 -0.09 -1.36 16 11 C 0.52 6.82 7.43 -10.99 -0.08 6.74 16 12 O -0.54 -8.90 13.46 5.55 0.07 -8.83 16 13 N -0.61 -8.19 3.03 -172.51 -0.52 -8.71 16 14 C 0.07 0.76 6.50 -3.58 -0.02 0.74 16 15 C 0.05 0.59 6.90 37.28 0.26 0.85 16 16 O -0.33 -6.28 10.55 -35.23 -0.37 -6.65 16 17 C 0.06 1.06 1.29 -90.69 -0.12 0.94 16 18 C 0.10 2.24 7.90 -8.19 -0.06 2.18 16 19 N -0.61 -16.21 3.69 -184.56 -0.68 -16.89 16 20 C -0.31 -9.17 10.65 -15.06 -0.16 -9.33 16 21 H 0.07 2.15 7.90 -52.48 -0.41 1.73 16 22 C -0.03 -0.97 5.45 -17.43 -0.09 -1.06 16 23 N -0.93 -29.21 13.34 55.49 0.74 -28.47 16 24 Si 1.08 26.31 29.96 -169.99 -5.09 21.21 16 25 H -0.29 -6.70 7.11 56.52 0.40 -6.30 16 26 H -0.29 -7.03 7.11 56.52 0.40 -6.62 16 27 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 28 C 0.15 3.57 5.59 -8.05 -0.04 3.52 16 29 C 0.10 1.65 5.83 -3.70 -0.02 1.62 16 30 H 0.06 0.33 6.32 -51.93 -0.33 0.00 16 31 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 32 H 0.05 0.37 8.14 -51.93 -0.42 -0.05 16 33 H 0.06 0.47 8.14 -51.92 -0.42 0.04 16 34 H 0.06 0.38 8.14 -51.93 -0.42 -0.04 16 35 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 36 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 37 H 0.06 0.60 8.14 -51.92 -0.42 0.18 16 38 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 39 H 0.05 0.55 8.14 -51.93 -0.42 0.13 16 40 H 0.08 1.15 5.95 -51.93 -0.31 0.84 16 41 H 0.09 0.69 6.02 -51.93 -0.31 0.37 16 42 H 0.09 0.73 7.69 -51.92 -0.40 0.33 16 43 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 44 H 0.09 0.65 6.03 -51.93 -0.31 0.33 16 45 H 0.10 1.07 8.14 -51.93 -0.42 0.65 16 46 H 0.05 0.74 7.30 -51.93 -0.38 0.36 16 47 H 0.04 0.91 7.36 -51.93 -0.38 0.52 16 48 H 0.04 0.86 7.93 -51.93 -0.41 0.44 16 49 H 0.26 8.19 5.92 -40.82 -0.24 7.95 16 50 H 0.05 1.14 7.92 -51.93 -0.41 0.73 16 51 H 0.06 1.64 7.98 -51.93 -0.41 1.23 16 52 H 0.10 1.77 6.89 -51.93 -0.36 1.41 16 53 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 LS Contribution 395.67 15.07 5.96 5.96 Total: -1.00 -34.93 395.67 -10.30 -45.23 By element: Atomic # 1 Polarization: 8.59 SS G_CDS: -9.38 Total: -0.79 kcal Atomic # 6 Polarization: -1.04 SS G_CDS: -1.03 Total: -2.07 kcal Atomic # 7 Polarization: -53.61 SS G_CDS: -0.46 Total: -54.07 kcal Atomic # 8 Polarization: -15.18 SS G_CDS: -0.30 Total: -15.48 kcal Atomic # 14 Polarization: 26.31 SS G_CDS: -5.09 Total: 21.21 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -34.93 -10.30 -45.23 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. ZINC001053547155.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 8.424 kcal (2) G-P(sol) polarization free energy of solvation -34.929 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -26.505 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.299 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.228 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.805 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds