Wall clock time and date at job start Tue Mar 31 2020 20:25:12 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 1.52996 * 1 3 3 C 1.53002 * 109.47202 * 2 1 4 4 H 1.08998 * 109.46983 * 305.55830 * 3 2 1 5 5 C 1.50694 * 109.46884 * 185.55558 * 3 2 1 6 6 H 1.08005 * 120.00416 * 245.60709 * 5 3 2 7 7 C 1.37879 * 120.00068 * 65.60605 * 5 3 2 8 8 N 1.31513 * 120.00004 * 196.28508 * 7 5 3 9 9 Si 1.86799 * 120.00206 * 16.28675 * 7 5 3 10 10 H 1.48494 * 109.47293 * 180.02562 * 9 7 5 11 11 H 1.48503 * 109.46881 * 59.99614 * 9 7 5 12 12 H 1.48498 * 109.46884 * 300.00115 * 9 7 5 13 13 N 1.46497 * 109.46909 * 65.55603 * 3 2 1 14 14 C 1.34778 * 120.00169 * 275.00158 * 13 3 2 15 15 O 1.21281 * 119.99548 * 359.97438 * 14 13 3 16 16 C 1.50697 * 120.00101 * 180.02562 * 14 13 3 17 17 H 1.08998 * 110.85501 * 297.65947 * 16 14 13 18 18 C 1.54632 * 110.97209 * 61.45076 * 16 14 13 19 19 C 1.51274 * 104.19795 * 142.91459 * 18 16 14 20 20 O 1.21280 * 124.94057 * 163.70784 * 19 18 16 21 21 N 1.34425 * 110.11783 * 343.75217 * 19 18 16 22 22 C 1.46496 * 124.34866 * 179.57067 * 21 19 18 23 23 C 1.52995 * 109.47261 * 59.97654 * 22 21 19 24 24 C 1.53004 * 109.47225 * 180.02562 * 23 22 21 25 25 C 1.53001 * 109.47290 * 59.99297 * 24 23 22 26 26 C 1.53000 * 109.46943 * 180.02562 * 25 24 23 27 27 C 1.53000 * 109.47096 * 300.00315 * 25 24 23 28 28 C 1.52996 * 109.47401 * 59.99947 * 27 25 24 29 29 C 1.46760 * 111.29839 * 359.58650 * 21 19 18 30 30 H 1.09002 * 109.47643 * 180.02562 * 1 2 3 31 31 H 1.09001 * 109.47221 * 299.99671 * 1 2 3 32 32 H 1.08999 * 109.47586 * 59.99654 * 1 2 3 33 33 H 1.09002 * 109.46737 * 240.00111 * 2 1 3 34 34 H 1.08997 * 109.47133 * 120.00619 * 2 1 3 35 35 H 0.97003 * 120.00251 * 354.83342 * 8 7 5 36 36 H 0.97004 * 120.00235 * 94.99700 * 13 3 2 37 37 H 1.09003 * 110.48202 * 261.59642 * 18 16 14 38 38 H 1.08997 * 110.48658 * 24.23314 * 18 16 14 39 39 H 1.09008 * 109.46577 * 179.97438 * 22 21 19 40 40 H 1.09005 * 109.47057 * 299.99556 * 23 22 21 41 41 H 1.08998 * 109.47756 * 59.99231 * 23 22 21 42 42 H 1.09005 * 109.46683 * 299.99715 * 24 23 22 43 43 H 1.08995 * 109.47243 * 179.97438 * 24 23 22 44 44 H 1.08995 * 109.47030 * 60.00513 * 25 24 23 45 45 H 1.08999 * 109.46870 * 180.02562 * 26 25 24 46 46 H 1.08995 * 109.47092 * 299.99948 * 26 25 24 47 47 H 1.08997 * 109.47454 * 59.99744 * 26 25 24 48 48 H 1.09007 * 109.46922 * 299.99886 * 27 25 24 49 49 H 1.08999 * 109.46993 * 179.97438 * 27 25 24 50 50 H 1.08995 * 109.47336 * 179.97438 * 28 27 25 51 51 H 1.09005 * 109.46842 * 59.99614 * 28 27 25 52 52 H 1.09000 * 110.25013 * 258.02198 * 29 21 19 53 53 H 1.08999 * 110.24619 * 136.01588 * 29 21 19 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 2.0400 1.4425 0.0000 4 1 1.5977 1.9842 -0.8360 5 6 3.5406 1.4447 -0.1375 6 1 4.1568 1.8040 0.6734 7 6 4.1272 0.9878 -1.2987 8 7 5.4071 0.6859 -1.3143 9 14 3.1039 0.7978 -2.8499 10 1 3.9631 0.2934 -3.9511 11 1 2.5326 2.1146 -3.2305 12 1 2.0022 -0.1664 -2.6011 13 7 1.6639 2.0934 1.2574 14 6 0.4477 2.6599 1.3856 15 8 -0.3352 2.6312 0.4597 16 6 0.0610 3.3299 2.6788 17 1 0.0524 2.6130 3.4998 18 6 1.0022 4.5166 2.9903 19 6 0.0947 5.5579 3.6071 20 8 0.4721 6.5191 4.2432 21 7 -1.1909 5.2623 3.3486 22 6 -2.3309 6.0598 3.8077 23 6 -2.2214 7.4778 3.2439 24 6 -3.4116 8.3108 3.7240 25 6 -3.4105 8.3682 5.2529 26 6 -4.6011 9.2007 5.7328 27 6 -3.5200 6.9501 5.8165 28 6 -2.3298 6.1171 5.3366 29 6 -1.3057 4.0380 2.5476 30 1 -0.3634 -1.0276 0.0005 31 1 -0.3634 0.5138 0.8900 32 1 -0.3634 0.5139 -0.8899 33 1 1.8932 -0.5138 -0.8900 34 1 1.8933 -0.5139 0.8899 35 1 5.9548 0.8549 -0.5317 36 1 2.2902 2.1166 1.9978 37 1 1.7742 4.2155 3.6985 38 1 1.4520 4.8976 2.0734 39 1 -3.2575 5.6017 3.4616 40 1 -1.2947 7.9359 3.5900 41 1 -2.2216 7.4370 2.1547 42 1 -4.3384 7.8530 3.3782 43 1 -3.3334 9.3212 3.3227 44 1 -2.4837 8.8260 5.5986 45 1 -4.6000 9.2419 6.8220 46 1 -4.5234 10.2110 5.3313 47 1 -5.5277 8.7426 5.3871 48 1 -4.4469 6.4923 5.4708 49 1 -3.5188 6.9909 6.9058 50 1 -2.4076 5.1069 5.7385 51 1 -1.4030 6.5750 5.6823 52 1 -1.5032 4.2864 1.5049 53 1 -2.0989 3.4025 2.9415 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 ZINC000183838023.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 20:25:12 Heat of formation + Delta-G solvation = -103.041115 kcal Electronic energy + Delta-G solvation = -30352.187020 eV Core-core repulsion = 26415.212615 eV Total energy + Delta-G solvation = -3936.974405 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.88 seconds Orbital eigenvalues (eV) -41.03082 -39.36073 -38.34734 -36.33028 -35.26038 -33.78071 -32.48622 -31.59388 -31.06208 -30.30881 -27.77549 -27.31312 -26.17820 -23.36030 -22.97407 -22.30129 -22.13204 -20.49586 -20.01927 -19.58877 -19.09935 -17.96887 -16.98568 -16.95755 -15.80234 -15.60075 -15.12545 -14.99759 -14.59404 -14.59115 -14.42482 -14.12344 -13.94074 -13.78329 -13.41443 -13.17178 -13.04841 -12.79057 -12.62621 -12.55414 -12.49193 -12.37242 -12.32928 -11.83166 -11.75172 -11.59237 -11.47618 -11.27401 -11.21066 -10.97783 -10.92887 -10.74880 -10.54407 -10.48681 -10.40400 -9.94610 -9.78969 -9.62600 -9.26653 -9.08305 -8.75070 -8.38738 -8.18667 -6.62052 -4.26687 2.53245 2.79409 3.04330 3.34512 3.41067 3.55063 3.75719 4.21885 4.29658 4.37727 4.39968 4.47083 4.58298 4.75432 4.83481 4.87637 4.95238 5.06953 5.12417 5.15694 5.22708 5.25419 5.32258 5.35043 5.38353 5.47588 5.51041 5.55167 5.57282 5.71945 5.75293 5.84193 5.87095 5.89697 5.94175 5.99904 6.00995 6.03769 6.07976 6.18979 6.21091 6.52762 6.62066 6.73182 6.88229 6.97416 7.03316 7.28188 7.32246 7.58369 8.11606 8.18759 8.36322 8.63331 8.86163 9.42736 10.78621 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.024677 B = 0.002378 C = 0.002329 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1134.379862 B =11770.366640 C =12019.335675 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.140 4.140 3 C 0.247 3.753 4 H 0.042 0.958 5 C -0.618 4.618 6 H 0.062 0.938 7 C 0.039 3.961 8 N -0.897 5.897 9 Si 1.040 2.960 10 H -0.284 1.284 11 H -0.280 1.280 12 H -0.269 1.269 13 N -0.695 5.695 14 C 0.513 3.487 15 O -0.546 6.546 16 C -0.125 4.125 17 H 0.112 0.888 18 C -0.147 4.147 19 C 0.523 3.477 20 O -0.531 6.531 21 N -0.617 5.617 22 C 0.163 3.837 23 C -0.136 4.136 24 C -0.108 4.108 25 C -0.096 4.096 26 C -0.147 4.147 27 C -0.108 4.108 28 C -0.134 4.134 29 C 0.119 3.881 30 H 0.030 0.970 31 H 0.047 0.953 32 H 0.051 0.949 33 H 0.069 0.931 34 H 0.051 0.949 35 H 0.269 0.731 36 H 0.394 0.606 37 H 0.108 0.892 38 H 0.111 0.889 39 H 0.087 0.913 40 H 0.079 0.921 41 H 0.064 0.936 42 H 0.062 0.938 43 H 0.065 0.935 44 H 0.072 0.928 45 H 0.053 0.947 46 H 0.053 0.947 47 H 0.053 0.947 48 H 0.062 0.938 49 H 0.064 0.936 50 H 0.063 0.937 51 H 0.079 0.921 52 H 0.092 0.908 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.514 10.320 13.326 25.037 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 -0.200 4.200 2 C -0.179 4.179 3 C 0.144 3.856 4 H 0.060 0.940 5 C -0.655 4.655 6 H 0.080 0.920 7 C -0.168 4.168 8 N -0.530 5.530 9 Si 0.868 3.132 10 H -0.209 1.209 11 H -0.206 1.206 12 H -0.195 1.195 13 N -0.342 5.342 14 C 0.297 3.703 15 O -0.425 6.425 16 C -0.147 4.147 17 H 0.130 0.870 18 C -0.187 4.187 19 C 0.311 3.689 20 O -0.407 6.407 21 N -0.351 5.351 22 C 0.060 3.940 23 C -0.174 4.174 24 C -0.146 4.146 25 C -0.114 4.114 26 C -0.204 4.204 27 C -0.146 4.146 28 C -0.172 4.172 29 C -0.004 4.004 30 H 0.049 0.951 31 H 0.066 0.934 32 H 0.070 0.930 33 H 0.087 0.913 34 H 0.069 0.931 35 H 0.079 0.921 36 H 0.227 0.773 37 H 0.126 0.874 38 H 0.129 0.871 39 H 0.105 0.895 40 H 0.098 0.902 41 H 0.083 0.917 42 H 0.081 0.919 43 H 0.083 0.917 44 H 0.090 0.910 45 H 0.072 0.928 46 H 0.073 0.927 47 H 0.073 0.927 48 H 0.081 0.919 49 H 0.083 0.917 50 H 0.082 0.918 51 H 0.098 0.902 52 H 0.110 0.890 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -18.828 10.294 11.415 24.306 hybrid contribution 0.363 0.362 1.987 2.052 sum -18.465 10.656 13.403 25.182 Atomic orbital electron populations 1.21882 0.97379 0.98909 1.01877 1.22368 0.93790 0.99771 1.01936 1.19077 0.95884 0.88564 0.82108 0.94017 1.22081 0.89644 1.49654 1.04169 0.92011 1.25680 0.97550 0.92373 1.01203 1.70875 1.07071 1.40730 1.34330 0.84112 0.75492 0.77688 0.75911 1.20939 1.20621 1.19511 1.46243 1.14316 1.55457 1.18223 1.19891 0.82932 0.79259 0.88244 1.90677 1.50905 1.60036 1.40842 1.22274 0.95951 0.97667 0.98784 0.86995 1.22370 0.98271 0.94208 1.03895 1.20763 0.83286 0.85871 0.78990 1.90685 1.78792 1.30436 1.40831 1.48473 1.06316 1.26806 1.53478 1.20960 0.87768 0.91117 0.94118 1.21942 1.00083 0.94789 1.00573 1.21536 0.97978 0.99978 0.95136 1.21181 0.99075 0.95715 0.95436 1.21825 0.97948 0.99704 1.00933 1.21534 0.97889 0.94869 1.00323 1.21935 1.00118 1.00486 0.94697 1.21985 0.96485 0.84699 0.97197 0.95074 0.93353 0.93003 0.91254 0.93053 0.92066 0.77296 0.87351 0.87086 0.89533 0.90201 0.91689 0.91927 0.91677 0.90969 0.92772 0.92744 0.92739 0.91937 0.91720 0.91847 0.90230 0.89013 0.90083 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 -0.14 -2.69 8.53 37.16 0.32 -2.38 16 2 C -0.14 -2.95 5.27 -26.73 -0.14 -3.09 16 3 C 0.25 5.53 1.82 -69.09 -0.13 5.40 16 4 H 0.04 1.03 6.26 -51.93 -0.32 0.70 16 5 C -0.62 -15.99 9.01 -34.44 -0.31 -16.30 16 6 H 0.06 1.67 7.96 -52.48 -0.42 1.26 16 7 C 0.04 1.06 5.32 -17.82 -0.09 0.96 16 8 N -0.90 -26.16 13.69 55.43 0.76 -25.40 16 9 Si 1.04 24.41 26.27 -169.99 -4.47 19.95 16 10 H -0.28 -6.70 7.11 56.52 0.40 -6.30 16 11 H -0.28 -6.43 7.11 56.52 0.40 -6.03 16 12 H -0.27 -5.86 5.67 56.52 0.32 -5.54 16 13 N -0.70 -12.59 4.98 -54.94 -0.27 -12.86 16 14 C 0.51 8.38 5.67 -10.99 -0.06 8.31 16 15 O -0.55 -10.51 12.71 5.56 0.07 -10.44 16 16 C -0.12 -1.48 3.54 -90.14 -0.32 -1.80 16 17 H 0.11 1.09 8.14 -51.93 -0.42 0.67 16 18 C -0.15 -1.78 6.37 -26.74 -0.17 -1.95 16 19 C 0.52 7.01 7.41 -10.86 -0.08 6.93 16 20 O -0.53 -8.59 15.11 5.56 0.08 -8.51 16 21 N -0.62 -7.03 2.83 -164.85 -0.47 -7.49 16 22 C 0.16 1.60 2.75 -67.93 -0.19 1.41 16 23 C -0.14 -1.37 5.21 -26.73 -0.14 -1.51 16 24 C -0.11 -0.86 5.20 -26.73 -0.14 -1.00 16 25 C -0.10 -0.73 2.72 -90.62 -0.25 -0.98 16 26 C -0.15 -0.93 9.19 37.16 0.34 -0.58 16 27 C -0.11 -0.81 5.20 -26.73 -0.14 -0.95 16 28 C -0.13 -1.26 5.21 -26.73 -0.14 -1.40 16 29 C 0.12 1.33 6.62 -3.12 -0.02 1.31 16 30 H 0.03 0.52 8.14 -51.93 -0.42 0.09 16 31 H 0.05 0.87 5.63 -51.93 -0.29 0.58 16 32 H 0.05 1.02 7.88 -51.93 -0.41 0.61 16 33 H 0.07 1.55 4.74 -51.93 -0.25 1.31 16 34 H 0.05 1.05 8.14 -51.93 -0.42 0.63 16 35 H 0.27 7.77 8.73 -40.82 -0.36 7.42 16 36 H 0.39 6.37 8.53 -40.82 -0.35 6.02 16 37 H 0.11 1.15 8.14 -51.93 -0.42 0.73 16 38 H 0.11 1.47 7.89 -51.93 -0.41 1.06 16 39 H 0.09 0.73 8.07 -51.92 -0.42 0.31 16 40 H 0.08 1.00 6.77 -51.93 -0.35 0.65 16 41 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 42 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 43 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 44 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 45 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 46 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 47 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 48 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 49 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 50 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 51 H 0.08 0.94 6.80 -51.93 -0.35 0.59 16 52 H 0.09 1.17 7.06 -51.93 -0.37 0.81 16 53 H 0.08 0.76 8.14 -51.93 -0.42 0.34 16 LS Contribution 398.94 15.07 6.01 6.01 Total: -1.00 -30.53 398.94 -9.45 -39.98 By element: Atomic # 1 Polarization: 15.88 SS G_CDS: -9.51 Total: 6.36 kcal Atomic # 6 Polarization: -5.95 SS G_CDS: -1.66 Total: -7.60 kcal Atomic # 7 Polarization: -45.77 SS G_CDS: 0.02 Total: -45.75 kcal Atomic # 8 Polarization: -19.10 SS G_CDS: 0.15 Total: -18.94 kcal Atomic # 14 Polarization: 24.41 SS G_CDS: -4.47 Total: 19.95 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -30.53 -9.45 -39.98 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. ZINC000183838023.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 -63.064 kcal (2) G-P(sol) polarization free energy of solvation -30.527 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -93.592 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.449 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.977 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.041 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.88 seconds