Wall clock time and date at job start Sat Apr 11 2020 06:10:35 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 1.52998 * 1 3 3 C 1.53006 * 109.46908 * 2 1 4 4 H 1.08997 * 109.49541 * 55.06480 * 3 2 1 5 5 C 1.53191 * 109.49774 * 295.00441 * 3 2 1 6 6 N 1.46925 * 108.77423 * 185.38016 * 5 3 2 7 7 C 1.34779 * 120.63041 * 233.62788 * 6 5 3 8 8 O 1.21277 * 119.99836 * 359.97438 * 7 6 5 9 9 C 1.50705 * 119.99819 * 179.97438 * 7 6 5 10 10 O 1.42904 * 109.46768 * 179.97438 * 9 7 6 11 11 C 1.42898 * 113.99691 * 179.97438 * 10 9 7 12 12 C 1.53172 * 109.54556 * 269.82348 * 11 10 9 13 13 C 1.53106 * 109.15734 * 183.24368 * 12 11 10 14 14 O 1.42901 * 109.48995 * 57.47657 * 13 12 11 15 15 C 1.42907 * 114.09307 * 298.89208 * 14 13 12 16 16 C 1.53086 * 109.41851 * 61.15544 * 15 14 13 17 17 C 1.46926 * 118.73914 * 53.60547 * 6 5 3 18 18 C 1.53192 * 108.77820 * 306.39111 * 17 6 5 19 19 C 1.53037 * 109.52466 * 175.14681 * 3 2 1 20 20 H 1.09001 * 109.46057 * 61.31665 * 19 3 2 21 21 N 1.46498 * 109.46106 * 301.35280 * 19 3 2 22 22 C 1.36940 * 120.00025 * 154.99823 * 21 19 3 23 23 H 1.08001 * 119.99751 * 0.02562 * 22 21 19 24 24 C 1.38807 * 119.99999 * 180.02562 * 22 21 19 25 25 N 1.31618 * 120.00207 * 0.02562 * 24 22 21 26 26 Si 1.86804 * 120.00041 * 180.02562 * 24 22 21 27 27 H 1.48495 * 109.47185 * 59.99989 * 26 24 22 28 28 H 1.48495 * 109.47095 * 180.02562 * 26 24 22 29 29 H 1.48499 * 109.47140 * 300.00095 * 26 24 22 30 30 H 1.09001 * 109.46548 * 180.02562 * 1 2 3 31 31 H 1.09005 * 109.47246 * 299.99853 * 1 2 3 32 32 H 1.08999 * 109.47189 * 59.99604 * 1 2 3 33 33 H 1.09001 * 109.47286 * 240.00908 * 2 1 3 34 34 H 1.08993 * 109.47814 * 119.99763 * 2 1 3 35 35 H 1.08998 * 109.59071 * 65.59515 * 5 3 2 36 36 H 1.09005 * 109.58843 * 305.16543 * 5 3 2 37 37 H 1.08996 * 109.47482 * 299.99879 * 9 7 6 38 38 H 1.09003 * 109.47124 * 60.00250 * 9 7 6 39 39 H 1.09003 * 109.54268 * 30.00471 * 11 10 9 40 40 H 1.09000 * 109.52686 * 303.06211 * 12 11 10 41 41 H 1.09002 * 109.52512 * 63.24693 * 12 11 10 42 42 H 1.09005 * 109.40756 * 297.48779 * 13 12 11 43 43 H 1.09001 * 109.48235 * 177.50911 * 13 12 11 44 44 H 1.09002 * 109.48040 * 301.16897 * 15 14 13 45 45 H 1.09003 * 109.48470 * 181.14789 * 15 14 13 46 46 H 1.08998 * 109.51992 * 182.48222 * 16 15 14 47 47 H 1.08997 * 109.57168 * 62.32604 * 16 15 14 48 48 H 1.09006 * 109.58406 * 66.18027 * 17 6 5 49 49 H 1.09002 * 109.59019 * 186.60016 * 17 6 5 50 50 H 1.09001 * 109.49595 * 174.58602 * 18 17 6 51 51 H 1.09000 * 109.49611 * 294.68450 * 18 17 6 52 52 H 0.96996 * 120.00265 * 335.00337 * 21 19 3 53 53 H 0.97001 * 120.00064 * 180.02562 * 25 24 22 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 2.0399 1.4426 0.0000 4 1 1.6064 1.9816 0.8423 5 6 1.6349 2.1281 -1.3087 6 7 2.2406 3.4660 -1.3489 7 6 1.4801 4.5581 -1.5624 8 8 0.2838 4.4416 -1.7240 9 6 2.1163 5.9237 -1.6002 10 8 1.1111 6.9109 -1.8397 11 6 1.6114 8.2484 -1.8939 12 6 1.5803 8.8644 -0.4919 13 6 2.0412 10.3221 -0.5733 14 8 1.2023 11.0373 -1.4826 15 6 1.2295 10.5344 -2.8200 16 6 0.7340 9.0860 -2.8293 17 6 3.6912 3.5910 -1.1514 18 6 4.0732 2.8891 0.1556 19 6 3.5654 1.4458 0.1220 20 1 3.9993 0.9280 -0.7335 21 7 3.9578 0.7617 1.3566 22 6 5.1964 0.1864 1.4567 23 1 5.8843 0.2375 0.6257 24 6 5.5680 -0.4622 2.6263 25 7 4.7295 -0.5249 3.6390 26 14 7.2580 -1.2463 2.7632 27 1 8.3023 -0.2062 2.5826 28 1 7.4070 -1.8708 4.1022 29 1 7.4079 -2.2858 1.7133 30 1 -0.3632 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3633 0.5139 -0.8899 33 1 1.8933 -0.5137 -0.8901 34 1 1.8934 -0.5137 0.8899 35 1 0.5495 2.2170 -1.3540 36 1 1.9911 1.5402 -2.1547 37 1 2.6030 6.1244 -0.6459 38 1 2.8563 5.9578 -2.3998 39 1 2.6360 8.2396 -2.2658 40 1 0.5640 8.8263 -0.0997 41 1 2.2466 8.3064 0.1660 42 1 3.0721 10.3570 -0.9255 43 1 1.9789 10.7788 0.4146 44 1 2.2498 10.5720 -3.2018 45 1 0.5827 11.1441 -3.4509 46 1 0.7956 8.6865 -3.8415 47 1 -0.3001 9.0517 -2.4865 48 1 4.2151 3.1224 -1.9845 49 1 3.9626 4.6451 -1.0930 50 1 5.1576 2.8909 0.2660 51 1 3.6206 3.4146 0.9965 52 1 3.3401 0.7161 2.1031 53 1 4.9893 -0.9779 4.4564 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 ZINC001037928318.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 06:10:35 Heat of formation + Delta-G solvation = -126.701046 kcal Electronic energy + Delta-G solvation = -30817.798720 eV Core-core repulsion = 26689.342292 eV Total energy + Delta-G solvation = -4128.456428 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.37168 -39.78734 -38.11369 -37.19353 -34.78284 -33.82911 -32.85395 -31.76555 -31.54350 -29.63489 -29.45340 -27.62676 -25.00959 -24.44352 -23.98725 -23.78278 -22.77245 -20.88783 -20.80689 -19.95958 -19.04246 -17.73563 -17.12315 -16.73344 -16.55703 -16.49167 -16.06352 -15.60621 -15.22884 -14.97947 -14.76690 -14.35453 -14.02310 -13.88954 -13.73356 -13.66301 -13.34714 -13.26650 -13.02094 -12.84979 -12.74562 -12.54619 -12.13544 -11.88193 -11.77369 -11.66580 -11.63836 -11.32970 -11.25694 -10.96562 -10.89730 -10.79705 -10.73217 -10.37282 -10.26657 -10.18160 -10.11280 -9.87712 -9.79249 -9.63421 -9.61597 -8.93922 -8.51935 -7.01053 -5.81447 -3.10508 2.59177 2.65793 3.39176 3.43919 3.44257 3.45333 3.59906 4.30497 4.33589 4.51098 4.53747 4.55098 4.67070 4.77995 4.80504 4.92877 4.98537 5.00639 5.07271 5.18866 5.21323 5.22319 5.27210 5.29478 5.41171 5.42672 5.51021 5.56809 5.60254 5.65509 5.66152 5.74723 5.82167 5.87482 5.97507 6.09573 6.12663 6.26878 6.32464 6.36609 6.42842 6.50565 6.63929 6.76133 6.78020 6.82829 6.93695 7.01393 7.44354 7.63798 8.20273 8.36625 9.48042 10.05272 10.40118 11.40796 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014497 B = 0.002344 C = 0.002117 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1930.956693 B =11944.234395 C =13220.557752 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.153 4.153 2 C -0.111 4.111 3 C -0.105 4.105 4 H 0.070 0.930 5 C 0.121 3.879 6 N -0.606 5.606 7 C 0.515 3.485 8 O -0.527 6.527 9 C 0.045 3.955 10 O -0.353 6.353 11 C 0.088 3.912 12 C -0.181 4.181 13 C 0.064 3.936 14 O -0.382 6.382 15 C 0.065 3.935 16 C -0.153 4.153 17 C 0.105 3.895 18 C -0.153 4.153 19 C 0.184 3.816 20 H 0.048 0.952 21 N -0.720 5.720 22 C -0.240 4.240 23 H 0.069 0.931 24 C -0.012 4.012 25 N -0.931 5.931 26 Si 0.905 3.095 27 H -0.287 1.287 28 H -0.292 1.292 29 H -0.286 1.286 30 H 0.049 0.951 31 H 0.051 0.949 32 H 0.049 0.951 33 H 0.057 0.943 34 H 0.084 0.916 35 H 0.091 0.909 36 H 0.066 0.934 37 H 0.080 0.920 38 H 0.078 0.922 39 H 0.063 0.937 40 H 0.083 0.917 41 H 0.077 0.923 42 H 0.051 0.949 43 H 0.098 0.902 44 H 0.052 0.948 45 H 0.100 0.900 46 H 0.081 0.919 47 H 0.083 0.917 48 H 0.070 0.930 49 H 0.073 0.927 50 H 0.077 0.923 51 H 0.060 0.940 52 H 0.384 0.616 53 H 0.256 0.744 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.624 18.168 -13.245 22.955 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 -0.210 4.210 2 C -0.150 4.150 3 C -0.125 4.125 4 H 0.088 0.912 5 C -0.002 4.002 6 N -0.340 5.340 7 C 0.302 3.698 8 O -0.403 6.403 9 C -0.035 4.035 10 O -0.271 6.271 11 C 0.029 3.971 12 C -0.219 4.219 13 C -0.013 4.013 14 O -0.301 6.301 15 C -0.012 4.012 16 C -0.191 4.191 17 C -0.018 4.018 18 C -0.194 4.194 19 C 0.073 3.927 20 H 0.066 0.934 21 N -0.360 5.360 22 C -0.371 4.371 23 H 0.087 0.913 24 C -0.208 4.208 25 N -0.579 5.579 26 Si 0.736 3.264 27 H -0.213 1.213 28 H -0.217 1.217 29 H -0.213 1.213 30 H 0.069 0.931 31 H 0.070 0.930 32 H 0.068 0.932 33 H 0.076 0.924 34 H 0.102 0.898 35 H 0.109 0.891 36 H 0.084 0.916 37 H 0.098 0.902 38 H 0.096 0.904 39 H 0.081 0.919 40 H 0.102 0.898 41 H 0.096 0.904 42 H 0.070 0.930 43 H 0.116 0.884 44 H 0.070 0.930 45 H 0.118 0.882 46 H 0.100 0.900 47 H 0.102 0.898 48 H 0.088 0.912 49 H 0.091 0.909 50 H 0.095 0.905 51 H 0.079 0.921 52 H 0.218 0.782 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -5.406 18.129 -13.302 23.126 hybrid contribution 1.450 -0.715 0.500 1.692 sum -3.956 17.414 -12.802 21.972 Atomic orbital electron populations 1.21847 0.96777 1.01062 1.01349 1.21448 0.94406 0.95626 1.03480 1.21788 0.97609 0.96326 0.96735 0.91188 1.21763 0.99516 0.81019 0.97855 1.48112 1.08452 1.06592 1.70878 1.20112 0.87094 0.85444 0.77139 1.90701 1.14610 1.86207 1.48815 1.22315 0.91342 0.87936 1.01909 1.88069 1.32321 1.13962 1.92797 1.22155 0.97396 0.82446 0.95058 1.22765 1.04224 0.96862 0.98081 1.22566 0.93337 0.91063 0.94311 1.87953 1.67257 1.55763 1.19112 1.22586 1.00911 0.93511 0.84229 1.22288 1.01503 0.94921 1.00377 1.21904 0.79427 1.00863 0.99584 1.22703 1.02259 0.99441 0.94975 1.20176 0.90788 0.90433 0.91281 0.93382 1.42404 1.16457 1.64427 1.12729 1.19155 0.91779 1.27537 0.98616 0.91305 1.24731 0.98128 1.01486 0.96450 1.69646 1.35293 1.48240 1.04757 0.86304 0.84130 0.79174 0.76762 1.21348 1.21748 1.21301 0.93143 0.92978 0.93196 0.92441 0.89769 0.89078 0.91564 0.90232 0.90410 0.91910 0.89783 0.90431 0.93023 0.88351 0.92990 0.88195 0.90027 0.89794 0.91188 0.90882 0.90463 0.92143 0.78174 0.93438 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 -2.13 9.67 37.16 0.36 -1.77 16 2 C -0.11 -1.78 5.31 -26.73 -0.14 -1.93 16 3 C -0.10 -1.68 1.92 -90.50 -0.17 -1.85 16 4 H 0.07 1.23 8.14 -51.93 -0.42 0.81 16 5 C 0.12 1.74 5.32 -3.71 -0.02 1.72 16 6 N -0.61 -8.28 2.97 -172.76 -0.51 -8.80 16 7 C 0.52 7.56 7.78 -10.98 -0.09 7.47 16 8 O -0.53 -9.82 15.91 -14.35 -0.23 -10.04 16 9 C 0.04 0.49 4.58 36.01 0.16 0.66 16 10 O -0.35 -4.42 9.53 -55.14 -0.53 -4.95 16 11 C 0.09 0.79 2.69 -26.55 -0.07 0.72 16 12 C -0.18 -1.53 5.77 -26.59 -0.15 -1.68 16 13 C 0.06 0.47 6.84 37.21 0.25 0.72 16 14 O -0.38 -3.45 10.77 -35.23 -0.38 -3.83 16 15 C 0.06 0.44 6.84 37.20 0.25 0.70 16 16 C -0.15 -1.24 5.79 -26.59 -0.15 -1.40 16 17 C 0.11 1.26 6.34 -3.71 -0.02 1.23 16 18 C -0.15 -2.38 5.66 -26.61 -0.15 -2.54 16 19 C 0.18 3.32 2.19 -67.89 -0.15 3.17 16 20 H 0.05 0.89 8.08 -51.93 -0.42 0.47 16 21 N -0.72 -16.74 4.33 -53.39 -0.23 -16.97 16 22 C -0.24 -6.25 9.93 -15.06 -0.15 -6.40 16 23 H 0.07 1.74 7.83 -52.49 -0.41 1.33 16 24 C -0.01 -0.32 5.50 -17.43 -0.10 -0.42 16 25 N -0.93 -27.20 13.06 55.49 0.72 -26.47 16 26 Si 0.91 21.64 29.55 -169.99 -5.02 16.62 16 27 H -0.29 -6.74 7.11 56.52 0.40 -6.33 16 28 H -0.29 -7.10 7.11 56.52 0.40 -6.70 16 29 H -0.29 -6.76 7.11 56.52 0.40 -6.36 16 30 H 0.05 0.65 8.14 -51.93 -0.42 0.23 16 31 H 0.05 0.74 8.14 -51.93 -0.42 0.32 16 32 H 0.05 0.65 6.70 -51.93 -0.35 0.30 16 33 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 34 H 0.08 1.61 7.22 -51.93 -0.37 1.23 16 35 H 0.09 1.40 5.72 -51.93 -0.30 1.10 16 36 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 37 H 0.08 0.75 7.52 -51.93 -0.39 0.36 16 38 H 0.08 0.66 7.89 -51.93 -0.41 0.25 16 39 H 0.06 0.45 7.79 -51.93 -0.40 0.05 16 40 H 0.08 0.83 8.14 -51.93 -0.42 0.41 16 41 H 0.08 0.60 7.97 -51.93 -0.41 0.19 16 42 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 43 H 0.10 0.61 8.14 -51.93 -0.42 0.19 16 44 H 0.05 0.29 8.14 -51.93 -0.42 -0.14 16 45 H 0.10 0.54 8.14 -51.93 -0.42 0.12 16 46 H 0.08 0.60 8.14 -51.93 -0.42 0.17 16 47 H 0.08 0.79 8.14 -51.93 -0.42 0.37 16 48 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 49 H 0.07 0.68 5.93 -51.93 -0.31 0.37 16 50 H 0.08 1.28 8.14 -51.93 -0.42 0.85 16 51 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 52 H 0.38 9.73 7.51 -40.82 -0.31 9.42 16 53 H 0.26 7.31 8.31 -40.82 -0.34 6.97 16 LS Contribution 410.19 15.07 6.18 6.18 Total: -1.00 -32.25 410.19 -9.89 -42.14 By element: Atomic # 1 Polarization: 17.27 SS G_CDS: -9.56 Total: 7.71 kcal Atomic # 6 Polarization: -1.26 SS G_CDS: -0.34 Total: -1.59 kcal Atomic # 7 Polarization: -52.22 SS G_CDS: -0.02 Total: -52.24 kcal Atomic # 8 Polarization: -17.69 SS G_CDS: -1.13 Total: -18.82 kcal Atomic # 14 Polarization: 21.64 SS G_CDS: -5.02 Total: 16.62 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -32.25 -9.89 -42.14 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. ZINC001037928318.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 -84.557 kcal (2) G-P(sol) polarization free energy of solvation -32.252 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.810 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.891 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.144 kcal (6) G-S(sol) free energy of system = (1) + (5) -126.701 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds