Wall clock time and date at job start Sat Apr 11 2020 06:13:02 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 1.53009 * 1 3 3 O 1.42902 * 109.46843 * 2 1 4 4 C 1.42894 * 114.00136 * 180.02562 * 3 2 1 5 5 H 1.09001 * 109.46986 * 29.99603 * 4 3 2 6 6 C 1.53003 * 109.46899 * 270.00088 * 4 3 2 7 7 C 1.50697 * 109.47354 * 150.00144 * 4 3 2 8 8 O 1.21281 * 120.00015 * 5.00009 * 7 4 3 9 9 N 1.34778 * 119.99989 * 185.00289 * 7 4 3 10 10 C 1.46498 * 120.00083 * 180.02562 * 9 7 4 11 11 H 1.09008 * 109.52639 * 35.08057 * 10 9 7 12 12 C 1.53183 * 109.49910 * 274.99917 * 10 9 7 13 13 N 1.46929 * 108.81814 * 185.39333 * 12 10 9 14 14 C 1.36935 * 120.63967 * 233.35229 * 13 12 10 15 15 H 1.08003 * 119.99540 * 152.66562 * 14 13 12 16 16 C 1.38810 * 120.00216 * 332.65904 * 14 13 12 17 17 N 1.31618 * 119.99895 * 159.35161 * 16 14 13 18 18 Si 1.86794 * 120.00072 * 339.35540 * 16 14 13 19 19 H 1.48503 * 109.47377 * 92.78412 * 18 16 14 20 20 H 1.48500 * 109.47174 * 212.78871 * 18 16 14 21 21 H 1.48506 * 109.47380 * 332.78310 * 18 16 14 22 22 C 1.46948 * 118.71348 * 53.62253 * 13 12 10 23 23 C 1.53092 * 108.76515 * 306.49989 * 22 13 12 24 24 C 1.53066 * 109.52790 * 174.70414 * 23 22 13 25 25 C 1.53109 * 109.16832 * 176.71038 * 24 23 22 26 26 O 1.42905 * 109.40616 * 302.52650 * 25 24 23 27 27 C 1.42909 * 114.12463 * 61.19068 * 26 25 24 28 28 C 1.53089 * 109.47764 * 294.42620 * 23 22 13 29 29 C 1.52944 * 109.48059 * 54.53242 * 23 22 13 30 30 H 1.09006 * 109.46664 * 180.02562 * 1 2 3 31 31 H 1.08999 * 109.46919 * 299.99481 * 1 2 3 32 32 H 1.08998 * 109.46876 * 60.00244 * 1 2 3 33 33 H 1.08990 * 109.46901 * 239.99893 * 2 1 3 34 34 H 1.08998 * 109.46876 * 119.99756 * 2 1 3 35 35 H 1.09000 * 109.46879 * 179.97438 * 6 4 3 36 36 H 1.08993 * 109.47520 * 299.99569 * 6 4 3 37 37 H 1.09002 * 109.47011 * 60.00063 * 6 4 3 38 38 H 0.97001 * 120.00278 * 359.97438 * 9 7 4 39 39 H 1.09002 * 109.58452 * 65.59301 * 12 10 9 40 40 H 1.09005 * 109.68921 * 305.26000 * 12 10 9 41 41 H 0.97002 * 119.99969 * 179.97438 * 17 16 14 42 42 H 1.08997 * 109.59084 * 66.28963 * 22 13 12 43 43 H 1.09004 * 109.58422 * 186.71844 * 22 13 12 44 44 H 1.08998 * 109.52493 * 296.61984 * 24 23 22 45 45 H 1.09004 * 109.52570 * 56.80342 * 24 23 22 46 46 H 1.08999 * 109.48526 * 182.55029 * 25 24 23 47 47 H 1.08999 * 109.48288 * 62.50856 * 25 24 23 48 48 H 1.09002 * 109.47990 * 178.82041 * 27 26 25 49 49 H 1.08999 * 109.48832 * 58.76935 * 27 26 25 50 50 H 1.09006 * 109.51886 * 303.14288 * 28 23 22 51 51 H 1.08995 * 109.52554 * 63.27029 * 28 23 22 52 52 H 1.09000 * 109.46119 * 178.73062 * 29 23 22 53 53 H 1.08996 * 109.45280 * 58.76617 * 29 23 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 1.5301 0.0000 0.0000 3 8 2.0064 1.3473 0.0000 4 6 3.4308 1.4602 -0.0006 5 1 3.8631 0.6018 -0.5147 6 6 3.9398 1.5003 1.4418 7 6 3.8341 2.7266 -0.7109 8 8 2.9854 3.5051 -1.0914 9 7 5.1378 2.9942 -0.9234 10 6 5.5299 4.2256 -1.6135 11 1 4.8449 5.0290 -1.3425 12 6 5.4808 4.0008 -3.1279 13 7 5.9993 5.1991 -3.8019 14 6 5.2648 5.8268 -4.7722 15 1 5.3964 6.8840 -4.9500 16 6 4.3511 5.1045 -5.5275 17 7 3.3758 5.7282 -6.1536 18 14 4.5058 3.2474 -5.6551 19 1 3.6758 2.6080 -4.6027 20 1 4.0385 2.8025 -6.9926 21 1 5.9263 2.8551 -5.4715 22 6 7.3238 5.7072 -3.4188 23 6 7.3533 5.9106 -1.9017 24 6 8.7646 6.3134 -1.4668 25 6 8.7658 6.5945 0.0382 26 8 7.8105 7.6161 0.3313 27 6 6.4656 7.2732 -0.0092 28 6 6.3715 7.0201 -1.5163 29 6 6.9542 4.6090 -1.2047 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5138 0.8900 32 1 -0.3633 0.5138 -0.8900 33 1 1.8933 -0.5138 -0.8899 34 1 1.8934 -0.5138 0.8900 35 1 5.0264 1.5860 1.4413 36 1 3.5076 2.3587 1.9559 37 1 3.6481 0.5843 1.9555 38 1 5.8166 2.3718 -0.6188 39 1 4.4508 3.8243 -3.4379 40 1 6.0943 3.1392 -3.3914 41 1 2.7376 5.2235 -6.6817 42 1 8.0890 4.9859 -3.7058 43 1 7.5091 6.6579 -3.9186 44 1 9.4588 5.5024 -1.6865 45 1 9.0695 7.2108 -2.0052 46 1 9.7578 6.9255 0.3454 47 1 8.5025 5.6849 0.5781 48 1 5.8012 8.0930 0.2640 49 1 6.1725 6.3723 0.5297 50 1 6.6238 7.9332 -2.0555 51 1 5.3572 6.7142 -1.7725 52 1 6.9971 4.7477 -0.1244 53 1 7.6418 3.8153 -1.4965 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 ZINC001099565706.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 06:13:02 Heat of formation + Delta-G solvation = -106.492186 kcal Electronic energy + Delta-G solvation = -32679.336411 eV Core-core repulsion = 28551.756305 eV Total energy + Delta-G solvation = -4127.580106 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.92 seconds Orbital eigenvalues (eV) -40.49417 -39.59222 -37.90040 -36.97929 -34.39811 -33.84563 -32.64343 -31.37136 -30.91139 -30.50240 -29.23100 -27.49839 -25.48990 -24.71099 -23.54269 -23.15787 -22.91047 -21.79150 -20.59965 -20.19129 -18.23975 -17.15742 -17.03174 -16.84084 -16.13408 -15.89845 -15.82665 -15.45210 -15.29194 -14.67572 -14.56349 -14.29453 -14.08689 -13.98264 -13.69630 -13.44200 -13.28882 -13.18686 -12.76136 -12.69096 -12.41153 -12.32575 -12.14175 -12.10031 -11.77246 -11.62222 -11.52536 -11.48288 -11.20859 -11.07962 -11.04305 -10.89127 -10.52360 -10.31119 -10.08569 -10.00138 -9.92233 -9.72949 -9.47768 -9.27496 -9.21573 -8.86044 -8.49628 -6.97069 -5.92700 -3.29497 2.83897 2.91464 3.38107 3.47399 3.50610 3.83519 4.03605 4.55863 4.60046 4.73676 4.76352 4.82404 4.90751 4.93466 5.03069 5.05955 5.12940 5.17714 5.22978 5.24531 5.29173 5.34020 5.45753 5.46691 5.48349 5.55834 5.58868 5.66898 5.74542 5.75860 5.83024 5.86561 5.91306 5.97781 6.00031 6.04261 6.12837 6.23176 6.37631 6.43327 6.49599 6.59071 6.65608 6.67990 6.82309 6.87498 7.00161 7.35987 7.70290 7.96067 8.34889 8.47711 8.93903 9.73735 10.08523 11.22992 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008674 B = 0.004893 C = 0.003459 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3227.188702 B = 5720.541902 C = 8091.828615 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 0.054 3.946 3 O -0.356 6.356 4 C 0.070 3.930 5 H 0.083 0.917 6 C -0.167 4.167 7 C 0.507 3.493 8 O -0.504 6.504 9 N -0.726 5.726 10 C 0.126 3.874 11 H 0.096 0.904 12 C 0.119 3.881 13 N -0.597 5.597 14 C -0.263 4.263 15 H 0.087 0.913 16 C 0.031 3.969 17 N -0.902 5.902 18 Si 0.878 3.122 19 H -0.287 1.287 20 H -0.303 1.303 21 H -0.272 1.272 22 C 0.159 3.841 23 C -0.071 4.071 24 C -0.142 4.142 25 C 0.062 3.938 26 O -0.387 6.387 27 C 0.059 3.941 28 C -0.139 4.139 29 C -0.111 4.111 30 H 0.070 0.930 31 H 0.063 0.937 32 H 0.066 0.934 33 H 0.049 0.951 34 H 0.048 0.952 35 H 0.071 0.929 36 H 0.071 0.929 37 H 0.066 0.934 38 H 0.393 0.607 39 H 0.079 0.921 40 H 0.023 0.977 41 H 0.263 0.737 42 H 0.024 0.976 43 H 0.066 0.934 44 H 0.070 0.930 45 H 0.073 0.927 46 H 0.086 0.914 47 H 0.047 0.953 48 H 0.089 0.911 49 H 0.046 0.954 50 H 0.069 0.931 51 H 0.090 0.910 52 H 0.061 0.939 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.159 -9.926 16.831 20.810 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 -0.208 4.208 2 C -0.022 4.022 3 O -0.274 6.274 4 C 0.009 3.991 5 H 0.101 0.899 6 C -0.225 4.225 7 C 0.291 3.709 8 O -0.377 6.377 9 N -0.379 5.379 10 C 0.021 3.979 11 H 0.114 0.886 12 C -0.008 4.008 13 N -0.319 5.319 14 C -0.391 4.391 15 H 0.105 0.895 16 C -0.169 4.169 17 N -0.544 5.544 18 Si 0.709 3.291 19 H -0.215 1.215 20 H -0.232 1.232 21 H -0.198 1.198 22 C 0.033 3.967 23 C -0.073 4.073 24 C -0.180 4.180 25 C -0.015 4.015 26 O -0.306 6.306 27 C -0.017 4.017 28 C -0.176 4.176 29 C -0.149 4.149 30 H 0.089 0.911 31 H 0.082 0.918 32 H 0.085 0.915 33 H 0.067 0.933 34 H 0.066 0.934 35 H 0.090 0.910 36 H 0.090 0.910 37 H 0.085 0.915 38 H 0.226 0.774 39 H 0.097 0.903 40 H 0.041 0.959 41 H 0.073 0.927 42 H 0.042 0.958 43 H 0.085 0.915 44 H 0.088 0.912 45 H 0.092 0.908 46 H 0.104 0.896 47 H 0.065 0.935 48 H 0.107 0.893 49 H 0.065 0.935 50 H 0.088 0.912 51 H 0.109 0.891 52 H 0.079 0.921 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges 6.267 -8.990 16.470 19.783 hybrid contribution 0.408 -2.079 -0.204 2.129 sum 6.675 -11.069 16.266 20.777 Atomic orbital electron populations 1.21729 0.93426 1.02086 1.03584 1.22584 0.96055 0.83705 0.99880 1.88084 1.18349 1.26091 1.94886 1.21898 0.83832 0.96838 0.96561 0.89943 1.22209 1.01497 1.03584 0.95213 1.20325 0.82963 0.87723 0.79915 1.90795 1.49812 1.48229 1.48871 1.46053 1.06709 1.24685 1.60455 1.21814 0.95875 0.86100 0.94112 0.88624 1.21702 0.99577 0.89786 0.89717 1.44230 1.15175 1.30737 1.41803 1.18853 1.17030 0.93339 1.09924 0.89497 1.25241 0.97036 0.97339 0.97295 1.69826 1.14208 1.35625 1.34754 0.87001 0.78011 0.88253 0.75834 1.21510 1.23162 1.19763 1.20994 0.87124 0.98211 0.90392 1.20981 0.93989 0.93891 0.98436 1.22160 0.97066 1.02121 0.96645 1.22547 0.92672 0.91302 0.94976 1.87883 1.16867 1.41667 1.84190 1.22672 0.83096 1.00374 0.95571 1.22172 1.01646 0.98700 0.95088 1.21823 0.95738 0.97720 0.99601 0.91127 0.91769 0.91458 0.93291 0.93381 0.91037 0.91023 0.91465 0.77408 0.90252 0.95915 0.92733 0.95811 0.91518 0.91167 0.90807 0.89555 0.93511 0.89303 0.93537 0.91199 0.89119 0.92095 0.91884 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.48 10.28 37.16 0.38 -1.10 16 2 C 0.05 0.59 6.47 37.16 0.24 0.83 16 3 O -0.36 -5.32 9.53 -55.09 -0.52 -5.85 16 4 C 0.07 0.90 3.13 -27.88 -0.09 0.81 16 5 H 0.08 0.85 7.79 -51.93 -0.40 0.45 16 6 C -0.17 -1.54 9.48 37.16 0.35 -1.19 16 7 C 0.51 8.64 7.14 -10.99 -0.08 8.57 16 8 O -0.50 -11.54 16.17 -14.30 -0.23 -11.77 16 9 N -0.73 -10.63 5.04 -53.69 -0.27 -10.90 16 10 C 0.13 2.21 2.27 -67.81 -0.15 2.06 16 11 H 0.10 1.95 5.72 -51.92 -0.30 1.65 16 12 C 0.12 2.62 3.78 -3.71 -0.01 2.61 16 13 N -0.60 -13.83 2.27 -172.36 -0.39 -14.22 16 14 C -0.26 -7.35 10.04 -15.06 -0.15 -7.51 16 15 H 0.09 2.58 8.06 -52.48 -0.42 2.15 16 16 C 0.03 0.91 5.23 -17.43 -0.09 0.81 16 17 N -0.90 -28.38 13.97 55.49 0.78 -27.60 16 18 Si 0.88 23.21 24.34 -169.99 -4.14 19.07 16 19 H -0.29 -7.70 6.62 56.52 0.37 -7.33 16 20 H -0.30 -8.11 7.11 56.52 0.40 -7.71 16 21 H -0.27 -6.92 6.64 56.52 0.38 -6.54 16 22 C 0.16 2.96 5.20 -3.75 -0.02 2.94 16 23 C -0.07 -1.06 0.51 -154.41 -0.08 -1.14 16 24 C -0.14 -1.73 4.92 -26.64 -0.13 -1.86 16 25 C 0.06 0.71 6.57 37.21 0.24 0.95 16 26 O -0.39 -5.47 10.76 -35.23 -0.38 -5.85 16 27 C 0.06 0.83 6.57 37.21 0.24 1.08 16 28 C -0.14 -2.25 4.47 -26.63 -0.12 -2.37 16 29 C -0.11 -1.54 3.63 -26.73 -0.10 -1.64 16 30 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 32 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 33 H 0.05 0.50 8.08 -51.93 -0.42 0.08 16 34 H 0.05 0.40 7.87 -51.93 -0.41 -0.01 16 35 H 0.07 0.51 7.92 -51.93 -0.41 0.09 16 36 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 37 H 0.07 0.50 7.87 -51.93 -0.41 0.09 16 38 H 0.39 4.12 8.38 -40.82 -0.34 3.78 16 39 H 0.08 2.08 4.51 -51.93 -0.23 1.85 16 40 H 0.02 0.49 7.05 -51.93 -0.37 0.13 16 41 H 0.26 7.92 8.31 -40.82 -0.34 7.58 16 42 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 43 H 0.07 1.27 7.93 -51.93 -0.41 0.86 16 44 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 45 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 46 H 0.09 0.83 8.14 -51.93 -0.42 0.41 16 47 H 0.05 0.49 6.59 -51.93 -0.34 0.15 16 48 H 0.09 1.19 8.14 -51.93 -0.42 0.76 16 49 H 0.05 0.63 6.64 -51.93 -0.34 0.29 16 50 H 0.07 1.18 8.14 -51.93 -0.42 0.76 16 51 H 0.09 1.76 5.92 -51.93 -0.31 1.45 16 52 H 0.06 0.75 5.03 -51.93 -0.26 0.49 16 53 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 LS Contribution 395.39 15.07 5.96 5.96 Total: -1.00 -35.71 395.39 -7.98 -43.69 By element: Atomic # 1 Polarization: 12.83 SS G_CDS: -9.22 Total: 3.61 kcal Atomic # 6 Polarization: 3.41 SS G_CDS: 0.44 Total: 3.85 kcal Atomic # 7 Polarization: -52.84 SS G_CDS: 0.11 Total: -52.73 kcal Atomic # 8 Polarization: -22.33 SS G_CDS: -1.14 Total: -23.46 kcal Atomic # 14 Polarization: 23.21 SS G_CDS: -4.14 Total: 19.07 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -35.71 -7.98 -43.69 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. ZINC001099565706.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 -62.800 kcal (2) G-P(sol) polarization free energy of solvation -35.710 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -98.509 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.983 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.693 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.492 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.92 seconds