Wall clock time and date at job start Tue Mar 31 2020 21:19:11 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 1.52999 * 1 3 3 C 1.53004 * 109.47123 * 2 1 4 4 F 1.39901 * 109.46978 * 239.99814 * 2 1 3 5 5 C 1.50701 * 109.47383 * 119.99697 * 2 1 3 6 6 O 1.21283 * 120.00010 * 350.51840 * 5 2 1 7 7 N 1.34777 * 120.00171 * 170.51396 * 5 2 1 8 8 C 1.46929 * 120.62915 * 4.96143 * 7 5 2 9 9 C 1.53192 * 108.88992 * 233.67406 * 8 7 5 10 10 C 1.53043 * 109.31615 * 305.29178 * 9 8 7 11 11 C 1.52996 * 109.46037 * 181.37129 * 10 9 8 12 12 H 1.09003 * 112.78214 * 316.22779 * 11 10 9 13 13 N 1.47294 * 113.52509 * 185.30863 * 11 10 9 14 14 C 1.36936 * 135.88719 * 91.35836 * 13 11 10 15 15 H 1.07998 * 120.00180 * 0.02562 * 14 13 11 16 16 C 1.38810 * 119.99909 * 180.02562 * 14 13 11 17 17 N 1.31622 * 120.00359 * 0.02562 * 16 14 13 18 18 Si 1.86809 * 119.99992 * 180.02562 * 16 14 13 19 19 H 1.48502 * 109.47011 * 90.00003 * 18 16 14 20 20 H 1.48497 * 109.46802 * 209.99853 * 18 16 14 21 21 H 1.48500 * 109.46926 * 329.99947 * 18 16 14 22 22 C 1.47297 * 88.22386 * 271.38908 * 13 11 10 23 23 C 1.52350 * 113.52256 * 87.14035 * 11 10 9 24 24 C 1.52621 * 122.02986 * 324.73719 * 23 11 10 25 25 C 1.54007 * 86.67210 * 207.82240 * 24 23 11 26 26 C 1.52614 * 122.03563 * 214.13129 * 23 11 10 27 27 C 1.53042 * 109.53110 * 61.36874 * 10 9 8 28 28 C 1.47208 * 120.81402 * 185.10411 * 7 5 2 29 29 H 1.09006 * 109.47048 * 299.99737 * 1 2 3 30 30 H 1.08994 * 109.47062 * 60.00092 * 1 2 3 31 31 H 1.08997 * 109.46985 * 180.02562 * 1 2 3 32 32 H 1.08997 * 109.46952 * 187.17842 * 3 2 1 33 33 H 1.08998 * 109.46633 * 307.17509 * 3 2 1 34 34 H 1.08997 * 109.47420 * 67.17809 * 3 2 1 35 35 H 1.08993 * 109.58463 * 113.82039 * 8 7 5 36 36 H 1.08998 * 109.58592 * 353.53003 * 8 7 5 37 37 H 1.08997 * 109.49969 * 65.24940 * 9 8 7 38 38 H 1.09006 * 109.49621 * 185.31310 * 9 8 7 39 39 H 1.08989 * 109.46042 * 301.35240 * 10 9 8 40 40 H 0.96996 * 120.00147 * 179.97438 * 17 16 14 41 41 H 1.08998 * 113.52380 * 88.60978 * 22 13 11 42 42 H 1.08994 * 113.52321 * 219.16089 * 22 13 11 43 43 H 1.08997 * 113.68548 * 322.26195 * 24 23 11 44 44 H 1.09003 * 113.68302 * 93.38233 * 24 23 11 45 45 H 1.09005 * 113.56593 * 269.87806 * 25 24 23 46 46 H 1.08995 * 113.57188 * 139.12733 * 25 24 23 47 47 H 1.09002 * 113.68423 * 266.62147 * 26 23 11 48 48 H 1.09001 * 113.68122 * 37.63668 * 26 23 11 49 49 H 1.08996 * 109.50056 * 58.59221 * 27 10 9 50 50 H 1.09004 * 109.49326 * 178.65260 * 27 10 9 51 51 H 1.08996 * 109.53590 * 6.53181 * 28 7 5 52 52 H 1.09007 * 109.67200 * 246.23034 * 28 7 5 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 9 1.9963 -0.6595 -1.1423 5 6 2.0324 -0.7103 1.2305 6 8 1.2578 -1.0190 2.1113 7 7 3.3424 -1.0027 1.3522 8 6 4.3090 -0.5409 0.3466 9 6 5.1078 -1.7446 -0.1630 10 6 5.7408 -2.4721 1.0254 11 6 6.5674 -3.6550 0.5174 12 1 6.0566 -4.2245 -0.2591 13 7 7.1177 -4.4939 1.5958 14 6 6.7098 -5.6074 2.2807 15 1 5.7598 -6.0659 2.0492 16 6 7.5175 -6.1468 3.2724 17 7 8.6751 -5.5878 3.5550 18 14 6.9614 -7.6662 4.2062 19 1 7.4395 -8.8828 3.5016 20 1 7.5243 -7.6364 5.5800 21 1 5.4783 -7.6870 4.2793 22 6 8.2977 -3.6125 1.6170 23 6 8.0006 -3.2851 0.1568 24 6 8.3574 -1.9357 -0.4606 25 6 9.5525 -2.6526 -1.1160 26 6 8.7460 -3.9587 -0.9920 27 6 4.6400 -2.9827 1.9580 28 6 3.8359 -1.7931 2.4918 29 1 -0.3633 0.5138 0.8901 30 1 -0.3633 0.5138 -0.8899 31 1 -0.3633 -1.0276 0.0005 32 1 3.1224 1.4452 -0.1284 33 1 1.5756 1.9920 -0.8188 34 1 1.7853 1.9180 0.9472 35 1 4.9874 0.1833 0.7975 36 1 3.7781 -0.0764 -0.4843 37 1 4.4417 -2.4252 -0.6933 38 1 5.8910 -1.4016 -0.8392 39 1 6.3875 -1.7841 1.5696 40 1 9.2392 -5.9645 4.2483 41 1 8.1905 -2.7579 2.2850 42 1 9.2369 -4.1463 1.7619 43 1 7.6192 -1.5724 -1.1756 44 1 8.6470 -1.1820 0.2717 45 1 10.4563 -2.6390 -0.5067 46 1 9.7320 -2.3473 -2.1468 47 1 9.3449 -4.8154 -0.6828 48 1 8.1176 -4.1707 -1.8570 49 1 3.9783 -3.6516 1.4078 50 1 5.0905 -3.5214 2.7917 51 1 2.9909 -2.1561 3.0768 52 1 4.4751 -1.1722 3.1197 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001093351962.mol2 52 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 21:19:11 Heat of formation + Delta-G solvation = -6.021927 kcal Electronic energy + Delta-G solvation = -31899.456999 eV Core-core repulsion = 27815.917878 eV Total energy + Delta-G solvation = -4083.539121 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 2.87 seconds Orbital eigenvalues (eV) -48.20385 -40.44529 -39.70630 -37.24188 -35.13579 -34.00389 -32.74460 -31.48726 -30.89640 -27.80132 -27.34733 -26.38106 -25.22605 -24.15316 -23.30217 -22.89296 -22.33194 -20.73584 -19.86361 -19.02705 -17.71421 -17.13766 -16.67942 -16.38706 -16.14015 -15.36269 -15.05976 -14.88324 -14.65720 -14.49346 -14.34564 -14.07215 -13.64951 -13.45698 -13.34346 -13.02960 -12.94562 -12.68600 -12.62141 -12.45033 -12.39398 -12.12190 -12.06983 -11.88317 -11.72910 -11.26637 -11.15271 -11.07193 -10.94545 -10.89846 -10.62964 -10.52138 -10.37868 -10.25086 -10.16776 -9.77473 -9.68107 -9.41453 -9.37011 -8.91518 -8.76019 -8.53885 -6.82229 -5.75020 -3.05539 2.35353 2.84238 3.39883 3.45727 3.46736 3.96694 4.13765 4.35803 4.44560 4.48529 4.87987 4.94062 5.03883 5.11558 5.13996 5.18845 5.19402 5.24810 5.32638 5.35669 5.41541 5.45786 5.52390 5.62105 5.67661 5.69551 5.70498 5.79904 5.82816 5.89439 6.02801 6.04634 6.08618 6.12914 6.22405 6.28717 6.32096 6.34721 6.40936 6.50020 6.61241 6.69795 6.88776 6.95008 6.97075 7.11847 7.27091 7.32734 7.38336 7.60614 7.96312 8.00714 9.06758 9.73344 10.68741 11.42328 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.012132 B = 0.003823 C = 0.003093 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2307.351727 B = 7322.890423 C = 9049.260885 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.156 4.156 2 C 0.102 3.898 3 C -0.179 4.179 4 F -0.192 7.192 5 C 0.499 3.501 6 O -0.532 6.532 7 N -0.594 5.594 8 C 0.093 3.907 9 C -0.127 4.127 10 C -0.088 4.088 11 C 0.160 3.840 12 H 0.046 0.954 13 N -0.595 5.595 14 C -0.211 4.211 15 H 0.078 0.922 16 C -0.006 4.006 17 N -0.919 5.919 18 Si 0.906 3.094 19 H -0.289 1.289 20 H -0.291 1.291 21 H -0.281 1.281 22 C 0.182 3.818 23 C -0.123 4.123 24 C -0.128 4.128 25 C -0.138 4.138 26 C -0.106 4.106 27 C -0.118 4.118 28 C 0.111 3.889 29 H 0.083 0.917 30 H 0.073 0.927 31 H 0.073 0.927 32 H 0.080 0.920 33 H 0.080 0.920 34 H 0.080 0.920 35 H 0.068 0.932 36 H 0.093 0.907 37 H 0.064 0.936 38 H 0.077 0.923 39 H 0.068 0.932 40 H 0.252 0.748 41 H 0.024 0.976 42 H 0.068 0.932 43 H 0.076 0.924 44 H 0.061 0.939 45 H 0.076 0.924 46 H 0.056 0.944 47 H 0.067 0.933 48 H 0.071 0.929 49 H 0.056 0.944 50 H 0.097 0.903 51 H 0.087 0.913 52 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.084 15.405 -10.387 20.262 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 -0.214 4.214 2 C 0.081 3.919 3 C -0.237 4.237 4 F -0.172 7.172 5 C 0.284 3.716 6 O -0.409 6.409 7 N -0.326 5.326 8 C -0.030 4.030 9 C -0.165 4.165 10 C -0.110 4.110 11 C 0.052 3.948 12 H 0.064 0.936 13 N -0.317 5.317 14 C -0.338 4.338 15 H 0.096 0.904 16 C -0.203 4.203 17 N -0.566 5.566 18 Si 0.737 3.263 19 H -0.216 1.216 20 H -0.217 1.217 21 H -0.207 1.207 22 C 0.056 3.944 23 C -0.125 4.125 24 C -0.166 4.166 25 C -0.176 4.176 26 C -0.144 4.144 27 C -0.157 4.157 28 C -0.011 4.011 29 H 0.102 0.898 30 H 0.092 0.908 31 H 0.092 0.908 32 H 0.099 0.901 33 H 0.099 0.901 34 H 0.099 0.901 35 H 0.087 0.913 36 H 0.111 0.889 37 H 0.083 0.917 38 H 0.096 0.904 39 H 0.086 0.914 40 H 0.062 0.938 41 H 0.042 0.958 42 H 0.086 0.914 43 H 0.094 0.906 44 H 0.080 0.920 45 H 0.094 0.906 46 H 0.075 0.925 47 H 0.086 0.914 48 H 0.090 0.910 49 H 0.075 0.925 50 H 0.115 0.885 51 H 0.105 0.895 52 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -8.433 14.888 -9.641 19.640 hybrid contribution -0.175 -0.874 0.582 1.065 sum -8.607 14.014 -9.059 18.776 Atomic orbital electron populations 1.22152 0.90923 1.04553 1.03771 1.21157 0.96786 0.92981 0.81010 1.22583 1.03326 0.93151 1.04611 1.92883 1.89826 1.82740 1.51763 1.20758 0.82525 0.79987 0.88329 1.90707 1.55163 1.53287 1.41758 1.48240 1.06299 1.52539 1.25547 1.22185 0.91814 0.97472 0.91512 1.22006 0.99176 0.96651 0.98705 1.21451 0.96274 0.98031 0.95233 1.21739 0.92140 0.90042 0.90880 0.93648 1.45614 1.18579 1.26354 1.41194 1.18863 1.02375 0.99990 1.12618 0.90373 1.24731 0.96966 0.99283 0.99281 1.69825 1.11265 1.41324 1.34164 0.86206 0.77865 0.82961 0.79282 1.21650 1.21737 1.20705 1.21731 0.93586 0.91540 0.87529 1.22950 0.97516 0.94569 0.97434 1.22723 0.97575 0.96878 0.99456 1.22807 0.97514 0.97552 0.99684 1.22396 0.97985 0.96824 0.97187 1.21810 0.96602 0.96052 1.01190 1.21844 0.98892 0.92961 0.87359 0.89803 0.90762 0.90790 0.90078 0.90067 0.90055 0.91337 0.88867 0.91690 0.90422 0.91365 0.93774 0.95809 0.91388 0.90594 0.92034 0.90576 0.92513 0.91442 0.91042 0.92504 0.88491 0.89495 0.91440 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 -0.16 -1.47 8.27 37.16 0.31 -1.16 16 2 C 0.10 1.09 1.20 -91.77 -0.11 0.98 16 3 C -0.18 -1.36 8.57 37.16 0.32 -1.05 16 4 F -0.19 -2.27 14.70 2.25 0.03 -2.23 16 5 C 0.50 7.03 6.77 -10.98 -0.07 6.96 16 6 O -0.53 -9.11 15.43 5.55 0.09 -9.02 16 7 N -0.59 -8.16 2.98 -172.54 -0.51 -8.67 16 8 C 0.09 1.06 5.02 -3.71 -0.02 1.04 16 9 C -0.13 -1.65 5.28 -26.61 -0.14 -1.79 16 10 C -0.09 -1.43 1.55 -90.58 -0.14 -1.57 16 11 C 0.16 3.06 3.62 -71.48 -0.26 2.80 16 12 H 0.05 0.91 8.13 -51.93 -0.42 0.48 16 13 N -0.60 -14.27 3.02 -176.27 -0.53 -14.80 16 14 C -0.21 -5.67 9.95 -15.06 -0.15 -5.82 16 15 H 0.08 2.07 7.83 -52.49 -0.41 1.66 16 16 C -0.01 -0.17 5.50 -17.43 -0.10 -0.26 16 17 N -0.92 -26.68 11.52 55.49 0.64 -26.04 16 18 Si 0.91 22.04 29.55 -169.99 -5.02 17.02 16 19 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 20 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 21 H -0.28 -6.71 7.11 56.52 0.40 -6.30 16 22 C 0.18 4.08 6.81 -7.48 -0.05 4.03 16 23 C -0.12 -2.19 1.07 -155.49 -0.17 -2.35 16 24 C -0.13 -1.79 6.90 -26.40 -0.18 -1.97 16 25 C -0.14 -1.90 8.08 -25.71 -0.21 -2.11 16 26 C -0.11 -1.75 7.90 -26.40 -0.21 -1.96 16 27 C -0.12 -2.06 5.17 -26.61 -0.14 -2.20 16 28 C 0.11 1.70 6.43 -3.56 -0.02 1.67 16 29 H 0.08 0.76 8.00 -51.93 -0.42 0.35 16 30 H 0.07 0.53 8.14 -51.93 -0.42 0.10 16 31 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 32 H 0.08 0.58 5.61 -51.93 -0.29 0.29 16 33 H 0.08 0.47 8.14 -51.93 -0.42 0.05 16 34 H 0.08 0.59 8.13 -51.93 -0.42 0.17 16 35 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 36 H 0.09 0.93 3.61 -51.93 -0.19 0.74 16 37 H 0.06 0.92 8.14 -51.93 -0.42 0.49 16 38 H 0.08 0.90 5.58 -51.93 -0.29 0.61 16 39 H 0.07 1.15 7.16 -51.94 -0.37 0.78 16 40 H 0.25 7.18 8.31 -40.82 -0.34 6.84 16 41 H 0.02 0.55 7.55 -51.93 -0.39 0.16 16 42 H 0.07 1.74 7.17 -51.93 -0.37 1.37 16 43 H 0.08 0.93 6.04 -51.93 -0.31 0.62 16 44 H 0.06 0.84 8.14 -51.93 -0.42 0.42 16 45 H 0.08 1.07 8.14 -51.93 -0.42 0.65 16 46 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 47 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 48 H 0.07 1.09 8.14 -51.93 -0.42 0.66 16 49 H 0.06 1.05 8.14 -51.93 -0.42 0.62 16 50 H 0.10 2.01 6.99 -51.93 -0.36 1.65 16 51 H 0.09 1.43 7.06 -51.93 -0.37 1.06 16 52 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 LS Contribution 391.48 15.07 5.90 5.90 Total: -1.00 -30.72 391.48 -9.58 -40.30 By element: Atomic # 1 Polarization: 11.13 SS G_CDS: -8.83 Total: 2.31 kcal Atomic # 6 Polarization: -3.42 SS G_CDS: -1.34 Total: -4.76 kcal Atomic # 7 Polarization: -49.10 SS G_CDS: -0.41 Total: -49.51 kcal Atomic # 8 Polarization: -9.11 SS G_CDS: 0.09 Total: -9.02 kcal Atomic # 9 Polarization: -2.27 SS G_CDS: 0.03 Total: -2.23 kcal Atomic # 14 Polarization: 22.04 SS G_CDS: -5.02 Total: 17.02 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -30.72 -9.58 -40.30 kcal The number of atoms in the molecule is 52 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. ZINC001093351962.mol2 52 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 34.281 kcal (2) G-P(sol) polarization free energy of solvation -30.724 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 3.557 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.579 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.303 kcal (6) G-S(sol) free energy of system = (1) + (5) -6.022 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.87 seconds