Wall clock time and date at job start Sat Apr 11 2020 06:09:38 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 1.52998 * 109.47205 * 2 1 4 4 N 1.46897 * 109.47154 * 179.97438 * 3 2 1 5 5 C 1.46840 * 110.99324 * 288.39884 * 4 3 2 6 6 C 1.53035 * 109.51905 * 174.15195 * 5 4 3 7 7 C 1.53124 * 109.28012 * 59.17996 * 6 5 4 8 8 C 1.53123 * 109.16163 * 302.35093 * 7 6 5 9 9 C 1.46844 * 111.00202 * 164.19190 * 4 3 2 10 10 H 1.09007 * 109.46349 * 65.83390 * 9 4 3 11 11 C 1.50699 * 109.46269 * 305.85862 * 9 4 3 12 12 O 1.20822 * 120.00234 * 330.76940 * 11 9 4 13 13 O 1.34231 * 120.00088 * 150.77087 * 11 9 4 14 14 C 1.45204 * 117.00361 * 179.97438 * 13 11 9 15 15 H 1.08997 * 109.46882 * 330.00466 * 14 13 11 16 16 C 1.53006 * 109.46773 * 89.99794 * 14 13 11 17 17 C 1.50690 * 109.47335 * 210.00043 * 14 13 11 18 18 O 1.21280 * 120.00389 * 346.14697 * 17 14 13 19 19 N 1.34777 * 120.00198 * 166.14789 * 17 14 13 20 20 C 1.46505 * 119.99770 * 4.63512 * 19 17 14 21 21 C 1.46500 * 120.00470 * 184.63695 * 19 17 14 22 22 C 1.50699 * 109.47171 * 269.99873 * 21 19 17 23 23 H 1.07998 * 120.00079 * 0.02562 * 22 21 19 24 24 C 1.37875 * 120.00183 * 179.97438 * 22 21 19 25 25 N 1.31515 * 119.99817 * 0.02562 * 24 22 21 26 26 Si 1.86794 * 120.00392 * 180.02562 * 24 22 21 27 27 H 1.48504 * 109.46762 * 0.02562 * 26 24 22 28 28 H 1.48497 * 109.47260 * 120.00173 * 26 24 22 29 29 H 1.48501 * 109.47404 * 240.00533 * 26 24 22 30 30 H 1.09002 * 109.47270 * 300.00449 * 1 2 3 31 31 H 1.09009 * 109.47192 * 60.00588 * 1 2 3 32 32 H 1.09004 * 109.47151 * 180.02562 * 1 2 3 33 33 H 1.09002 * 109.47270 * 239.99551 * 2 1 3 34 34 H 1.08998 * 109.46714 * 119.99495 * 2 1 3 35 35 H 1.09002 * 109.47373 * 59.99614 * 3 2 1 36 36 H 1.08998 * 109.46872 * 299.99398 * 3 2 1 37 37 H 1.09002 * 109.46666 * 54.14044 * 5 4 3 38 38 H 1.09004 * 109.46513 * 294.16310 * 5 4 3 39 39 H 1.09003 * 109.50315 * 299.24480 * 6 5 4 40 40 H 1.08995 * 109.54135 * 179.14790 * 6 5 4 41 41 H 1.08996 * 109.52099 * 182.44593 * 7 6 5 42 42 H 1.08997 * 109.51796 * 62.25105 * 7 6 5 43 43 H 1.09002 * 109.50154 * 297.71484 * 8 7 6 44 44 H 1.08998 * 109.50369 * 177.59428 * 8 7 6 45 45 H 1.09000 * 109.46919 * 172.32264 * 16 14 13 46 46 H 1.09000 * 109.47374 * 292.32280 * 16 14 13 47 47 H 1.08997 * 109.46705 * 52.32634 * 16 14 13 48 48 H 1.08998 * 109.47151 * 264.98919 * 20 19 17 49 49 H 1.08998 * 109.47089 * 24.99219 * 20 19 17 50 50 H 1.09002 * 109.47167 * 144.99251 * 20 19 17 51 51 H 1.08999 * 109.47170 * 149.99993 * 21 19 17 52 52 H 1.08996 * 109.47071 * 29.99805 * 21 19 17 53 53 H 0.97000 * 120.00465 * 179.97438 * 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 2.0400 1.4425 0.0000 4 7 3.5090 1.4425 0.0006 5 6 4.0345 1.0099 1.3018 6 6 5.5574 0.8820 1.2212 7 6 6.1585 2.2353 0.8312 8 6 5.5583 2.6859 -0.5035 9 6 4.0354 2.7614 -0.3728 10 1 3.7725 3.4884 0.3958 11 6 3.4389 3.1856 -1.6901 12 8 3.1115 2.3522 -2.5014 13 8 3.2713 4.4893 -1.9622 14 6 2.6914 4.8246 -3.2505 15 1 2.9599 4.0603 -3.9798 16 6 1.1684 4.8940 -3.1217 17 6 3.2185 6.1608 -3.7061 18 8 3.7974 6.8835 -2.9229 19 7 3.0465 6.5529 -4.9841 20 6 2.2600 5.7274 -5.9040 21 6 3.6460 7.8046 -5.4534 22 6 2.6754 8.9374 -5.2401 23 1 1.7088 8.7445 -4.7988 24 6 3.0217 10.2204 -5.6075 25 7 4.1990 10.4555 -6.1445 26 14 1.8189 11.6248 -5.3425 27 1 0.5737 11.1003 -4.7263 28 1 2.4287 12.6356 -4.4417 29 1 1.4981 12.2549 -6.6484 30 1 -0.3634 0.5139 0.8900 31 1 -0.3634 0.5138 -0.8901 32 1 -0.3634 -1.0277 0.0005 33 1 1.8934 -0.5139 -0.8900 34 1 1.8932 -0.5138 0.8900 35 1 1.6766 1.9564 0.8900 36 1 1.6768 1.9562 -0.8900 37 1 3.6024 0.0445 1.5653 38 1 3.7715 1.7452 2.0623 39 1 5.8208 0.1370 0.4704 40 1 5.9493 0.5756 2.1910 41 1 7.2394 2.1382 0.7303 42 1 5.9281 2.9716 1.6012 43 1 5.8217 1.9692 -1.2813 44 1 5.9504 3.6686 -0.7654 45 1 0.7424 5.2772 -4.0490 46 1 0.7745 3.8968 -2.9257 47 1 0.9033 5.5577 -2.2987 48 1 2.9271 5.0750 -6.4675 49 1 1.5541 5.1218 -5.3357 50 1 1.7137 6.3712 -6.5934 51 1 3.8787 7.7204 -6.5149 52 1 4.5615 8.0006 -4.8952 53 1 4.4426 11.3580 -6.4033 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 ZINC001771612913.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 06:09:38 Heat of formation + Delta-G solvation = -118.573318 kcal Electronic energy + Delta-G solvation = -31323.757438 eV Core-core repulsion = 27195.653455 eV Total energy + Delta-G solvation = -4128.103984 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.70 seconds Orbital eigenvalues (eV) -41.06184 -39.49742 -38.51649 -36.30035 -35.29377 -34.90279 -32.91430 -32.32465 -31.88780 -31.15176 -27.73643 -26.82402 -26.19680 -25.10861 -24.00386 -23.80876 -22.47862 -21.16789 -20.86741 -19.93627 -18.86345 -17.97011 -16.92860 -16.55998 -16.23514 -16.04259 -15.86284 -15.46594 -15.11562 -14.93612 -14.65198 -14.33250 -14.23476 -13.99793 -13.82128 -13.61157 -13.35266 -13.12699 -12.92129 -12.80666 -12.46466 -12.29733 -12.10516 -12.06657 -11.92727 -11.69196 -11.61441 -11.43771 -11.37218 -11.25690 -11.21524 -11.08941 -10.88851 -10.86904 -10.69163 -10.57682 -10.51299 -10.20538 -10.16426 -9.64092 -8.90901 -8.67075 -8.46080 -7.72902 -6.06650 -4.11356 2.12663 2.34934 3.23782 3.28764 3.36597 3.40764 3.48391 3.86293 4.41383 4.43107 4.45420 4.58270 4.68660 4.75086 4.80681 4.83087 4.89799 4.96037 5.01251 5.09298 5.11007 5.18059 5.22847 5.28073 5.33276 5.34294 5.42101 5.48733 5.51579 5.60811 5.63147 5.66597 5.70130 5.76970 5.81653 5.85085 5.88051 5.94533 6.01849 6.05649 6.08366 6.24383 6.40702 6.63665 6.72767 6.97970 7.37275 7.45687 7.76310 7.89473 8.19222 8.28748 8.84041 8.98626 9.53597 11.01643 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016688 B = 0.002531 C = 0.002359 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1677.448314 B =11060.084720 C =11868.532501 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.114 4.114 3 C 0.046 3.954 4 N -0.519 5.519 5 C 0.057 3.943 6 C -0.120 4.120 7 C -0.118 4.118 8 C -0.110 4.110 9 C 0.099 3.901 10 H 0.075 0.925 11 C 0.463 3.537 12 O -0.490 6.490 13 O -0.327 6.327 14 C 0.071 3.929 15 H 0.103 0.897 16 C -0.170 4.170 17 C 0.507 3.493 18 O -0.517 6.517 19 N -0.596 5.596 20 C 0.067 3.933 21 C 0.247 3.753 22 C -0.525 4.525 23 H 0.059 0.941 24 C 0.060 3.940 25 N -0.895 5.895 26 Si 0.899 3.101 27 H -0.273 1.273 28 H -0.283 1.283 29 H -0.283 1.283 30 H 0.051 0.949 31 H 0.055 0.945 32 H 0.056 0.944 33 H 0.073 0.927 34 H 0.060 0.940 35 H 0.035 0.965 36 H 0.078 0.922 37 H 0.083 0.917 38 H 0.037 0.963 39 H 0.074 0.926 40 H 0.070 0.930 41 H 0.073 0.927 42 H 0.064 0.936 43 H 0.080 0.920 44 H 0.082 0.918 45 H 0.091 0.909 46 H 0.068 0.932 47 H 0.074 0.926 48 H 0.048 0.952 49 H 0.066 0.934 50 H 0.078 0.922 51 H 0.036 0.964 52 H 0.044 0.956 53 H 0.263 0.737 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.820 -22.437 13.006 26.087 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 -0.152 4.152 3 C -0.081 4.081 4 N -0.246 5.246 5 C -0.070 4.070 6 C -0.157 4.157 7 C -0.156 4.156 8 C -0.148 4.148 9 C -0.010 4.010 10 H 0.093 0.907 11 C 0.304 3.696 12 O -0.376 6.376 13 O -0.242 6.242 14 C 0.012 3.988 15 H 0.121 0.879 16 C -0.228 4.228 17 C 0.292 3.708 18 O -0.393 6.393 19 N -0.330 5.330 20 C -0.077 4.077 21 C 0.128 3.872 22 C -0.564 4.564 23 H 0.077 0.923 24 C -0.141 4.141 25 N -0.534 5.534 26 Si 0.727 3.273 27 H -0.198 1.198 28 H -0.209 1.209 29 H -0.209 1.209 30 H 0.070 0.930 31 H 0.075 0.925 32 H 0.075 0.925 33 H 0.092 0.908 34 H 0.078 0.922 35 H 0.053 0.947 36 H 0.097 0.903 37 H 0.101 0.899 38 H 0.055 0.945 39 H 0.092 0.908 40 H 0.088 0.912 41 H 0.091 0.909 42 H 0.083 0.917 43 H 0.099 0.901 44 H 0.101 0.899 45 H 0.110 0.890 46 H 0.087 0.913 47 H 0.093 0.907 48 H 0.067 0.933 49 H 0.085 0.915 50 H 0.096 0.904 51 H 0.054 0.946 52 H 0.062 0.938 53 H 0.073 0.927 Dipole moment (debyes) X Y Z Total from point charges -2.338 -22.431 12.706 25.886 hybrid contribution -1.052 1.407 0.432 1.809 sum -3.390 -21.024 13.139 25.023 Atomic orbital electron populations 1.21742 0.95624 1.01749 1.01849 1.21445 0.95264 0.95827 1.02631 1.22322 0.86350 0.98275 1.01192 1.61720 1.07972 1.24617 1.30271 1.22181 0.95785 1.00653 0.88422 1.21639 0.94150 0.98001 1.01950 1.21572 1.00427 0.97107 0.96481 1.21596 0.90471 1.03329 0.99359 1.21190 0.96616 0.91334 0.91861 0.90745 1.23508 0.75576 0.80988 0.89549 1.90641 1.46247 1.52566 1.48154 1.86642 1.73942 1.26435 1.37157 1.22640 0.94498 0.97545 0.84077 0.87897 1.22304 0.92385 1.03319 1.04753 1.19774 0.81361 0.86627 0.83080 1.90705 1.41871 1.54465 1.52231 1.48080 1.51570 1.24669 1.08673 1.21981 0.95617 0.95516 0.94577 1.19348 0.94527 0.78241 0.95078 1.21446 1.01738 0.92275 1.40973 0.92321 1.24940 0.95463 0.98707 0.95039 1.69940 1.20070 1.21323 1.42040 0.86426 0.81077 0.82059 0.77765 1.19788 1.20853 1.20950 0.92953 0.92545 0.92480 0.90831 0.92175 0.94681 0.90344 0.89861 0.94521 0.90754 0.91184 0.90872 0.91683 0.90119 0.89918 0.89021 0.91320 0.90688 0.93304 0.91519 0.90371 0.94592 0.93818 0.92723 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -1.14 9.91 37.16 0.37 -0.77 16 2 C -0.11 -0.98 5.98 -26.73 -0.16 -1.13 16 3 C 0.05 0.47 4.60 -3.83 -0.02 0.45 16 4 N -0.52 -5.42 4.21 -228.09 -0.96 -6.39 16 5 C 0.06 0.45 5.30 -3.84 -0.02 0.43 16 6 C -0.12 -0.85 6.09 -26.65 -0.16 -1.01 16 7 C -0.12 -0.93 6.00 -26.60 -0.16 -1.09 16 8 C -0.11 -1.14 5.36 -26.65 -0.14 -1.29 16 9 C 0.10 1.17 2.34 -68.88 -0.16 1.00 16 10 H 0.07 0.84 8.14 -51.93 -0.42 0.42 16 11 C 0.46 6.81 5.78 36.00 0.21 7.01 16 12 O -0.49 -7.83 14.61 -18.75 -0.27 -8.11 16 13 O -0.33 -5.56 9.45 -45.79 -0.43 -5.99 16 14 C 0.07 1.20 2.15 -27.88 -0.06 1.14 16 15 H 0.10 1.62 6.69 -51.93 -0.35 1.27 16 16 C -0.17 -2.38 9.12 37.16 0.34 -2.04 16 17 C 0.51 10.97 7.00 -10.99 -0.08 10.89 16 18 O -0.52 -13.52 16.19 -13.68 -0.22 -13.74 16 19 N -0.60 -12.77 2.86 -182.96 -0.52 -13.29 16 20 C 0.07 1.06 9.88 59.85 0.59 1.65 16 21 C 0.25 6.46 5.15 -5.19 -0.03 6.43 16 22 C -0.53 -14.86 9.39 -34.44 -0.32 -15.19 16 23 H 0.06 1.66 7.81 -52.49 -0.41 1.25 16 24 C 0.06 1.73 5.46 -17.82 -0.10 1.63 16 25 N -0.89 -26.54 13.29 55.43 0.74 -25.80 16 26 Si 0.90 21.83 29.54 -169.99 -5.02 16.81 16 27 H -0.27 -6.53 7.11 56.52 0.40 -6.13 16 28 H -0.28 -6.87 7.11 56.52 0.40 -6.47 16 29 H -0.28 -6.70 7.11 56.52 0.40 -6.29 16 30 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.06 0.46 8.14 -51.92 -0.42 0.03 16 32 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 33 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 34 H 0.06 0.45 6.64 -51.93 -0.34 0.10 16 35 H 0.03 0.33 8.06 -51.93 -0.42 -0.09 16 36 H 0.08 0.95 5.70 -51.93 -0.30 0.66 16 37 H 0.08 0.57 6.49 -51.93 -0.34 0.24 16 38 H 0.04 0.28 8.14 -51.93 -0.42 -0.14 16 39 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 40 H 0.07 0.38 8.14 -51.93 -0.42 -0.04 16 41 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 42 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 43 H 0.08 0.89 8.14 -51.93 -0.42 0.47 16 44 H 0.08 0.91 8.14 -51.93 -0.42 0.49 16 45 H 0.09 1.20 5.55 -51.93 -0.29 0.91 16 46 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 47 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 48 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 49 H 0.07 0.87 4.13 -51.93 -0.21 0.66 16 50 H 0.08 1.25 8.11 -51.93 -0.42 0.82 16 51 H 0.04 0.94 8.07 -51.93 -0.42 0.52 16 52 H 0.04 1.29 7.49 -51.93 -0.39 0.90 16 53 H 0.26 7.34 8.31 -40.82 -0.34 7.00 16 LS Contribution 416.16 15.07 6.27 6.27 Total: -1.00 -34.03 416.16 -9.69 -43.72 By element: Atomic # 1 Polarization: 7.77 SS G_CDS: -9.36 Total: -1.59 kcal Atomic # 6 Polarization: 8.02 SS G_CDS: 0.10 Total: 8.11 kcal Atomic # 7 Polarization: -44.73 SS G_CDS: -0.75 Total: -45.48 kcal Atomic # 8 Polarization: -26.91 SS G_CDS: -0.93 Total: -27.84 kcal Atomic # 14 Polarization: 21.83 SS G_CDS: -5.02 Total: 16.81 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -34.03 -9.69 -43.72 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. ZINC001771612913.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 -74.855 kcal (2) G-P(sol) polarization free energy of solvation -34.031 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -108.885 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.688 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.719 kcal (6) G-S(sol) free energy of system = (1) + (5) -118.573 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.70 seconds