Wall clock time and date at job start Sat Apr 11 2020 06:10:14 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 1.52995 * 1 3 3 N 1.46500 * 109.47003 * 2 1 4 4 C 1.46509 * 120.00148 * 89.99785 * 3 2 1 5 5 C 1.50699 * 109.47199 * 89.99679 * 4 3 2 6 6 H 1.07998 * 119.99865 * 0.02562 * 5 4 3 7 7 C 1.37875 * 120.00053 * 180.02562 * 5 4 3 8 8 N 1.31519 * 119.99884 * 359.97438 * 7 5 4 9 9 Si 1.86793 * 120.00126 * 180.02562 * 7 5 4 10 10 H 1.48501 * 109.47051 * 179.97438 * 9 7 5 11 11 H 1.48499 * 109.47325 * 300.00144 * 9 7 5 12 12 H 1.48507 * 109.46935 * 60.00286 * 9 7 5 13 13 C 1.34770 * 119.99998 * 269.99158 * 3 2 1 14 14 O 1.21284 * 119.99850 * 179.97438 * 13 3 2 15 15 C 1.50699 * 120.00098 * 0.02562 * 13 3 2 16 16 O 1.45198 * 109.47521 * 179.97438 * 15 13 3 17 17 C 1.34222 * 117.00663 * 179.97438 * 16 15 13 18 18 O 1.20827 * 119.99513 * 359.97438 * 17 16 15 19 19 C 1.50697 * 120.00720 * 179.97438 * 17 16 15 20 20 H 1.09009 * 109.46714 * 41.78254 * 19 17 16 21 21 C 1.52995 * 109.47289 * 281.78403 * 19 17 16 22 22 N 1.46898 * 109.47324 * 161.78123 * 19 17 16 23 23 C 1.47844 * 111.00146 * 167.90192 * 22 19 17 24 24 H 1.09005 * 110.37407 * 27.52995 * 23 22 19 25 25 C 1.52999 * 110.37289 * 265.19683 * 23 22 19 26 26 C 1.54905 * 104.79941 * 146.36181 * 23 22 19 27 27 C 1.55137 * 101.65356 * 322.93185 * 26 23 22 28 28 C 1.47446 * 111.00238 * 288.74311 * 22 19 17 29 29 H 1.08991 * 109.89237 * 117.33666 * 28 22 19 30 30 C 1.53007 * 109.88661 * 356.30965 * 28 22 19 31 31 H 1.08998 * 109.47650 * 300.00238 * 1 2 3 32 32 H 1.09004 * 109.46849 * 60.00524 * 1 2 3 33 33 H 1.09005 * 109.47076 * 179.97438 * 1 2 3 34 34 H 1.08998 * 109.47650 * 239.99762 * 2 1 3 35 35 H 1.09004 * 109.46849 * 119.99476 * 2 1 3 36 36 H 1.09003 * 109.46599 * 329.99644 * 4 3 2 37 37 H 1.08996 * 109.46651 * 210.00077 * 4 3 2 38 38 H 0.97005 * 119.99918 * 0.02562 * 8 7 5 39 39 H 1.09000 * 109.46783 * 299.99473 * 15 13 3 40 40 H 1.09001 * 109.47662 * 59.98934 * 15 13 3 41 41 H 1.09007 * 109.46833 * 59.99659 * 21 19 17 42 42 H 1.09006 * 109.47298 * 179.97438 * 21 19 17 43 43 H 1.08998 * 109.47224 * 300.00121 * 21 19 17 44 44 H 1.08997 * 109.47283 * 59.99526 * 25 23 22 45 45 H 1.08998 * 109.47621 * 179.97438 * 25 23 22 46 46 H 1.09003 * 109.47205 * 299.99787 * 25 23 22 47 47 H 1.09001 * 110.98956 * 204.83264 * 26 23 22 48 48 H 1.09001 * 110.98626 * 81.02629 * 26 23 22 49 49 H 1.09009 * 110.70215 * 277.26879 * 27 26 23 50 50 H 1.08994 * 110.70877 * 154.03542 * 27 26 23 51 51 H 1.09002 * 109.47008 * 61.54372 * 30 28 22 52 52 H 1.08994 * 109.46972 * 181.54205 * 30 28 22 53 53 H 1.09006 * 109.47026 * 301.54327 * 30 28 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 7 2.0183 1.3812 0.0000 4 6 2.2624 2.0719 1.2688 5 6 3.6856 1.8351 1.7039 6 1 4.3427 1.2310 1.0960 7 6 4.1489 2.3898 2.8781 8 7 3.3488 3.1259 3.6182 9 14 5.9132 2.0968 3.4171 10 1 6.1606 2.7968 4.7032 11 1 6.1415 0.6402 3.5939 12 1 6.8404 2.6212 2.3824 13 6 2.2430 2.0165 -1.1671 14 8 2.6468 3.1601 -1.1671 15 6 1.9915 1.3062 -2.4722 16 8 2.3057 2.1959 -3.5759 17 6 2.1349 1.7122 -4.8163 18 8 1.7364 0.5826 -4.9745 19 6 2.4399 2.5779 -6.0114 20 1 3.3616 3.1320 -5.8328 21 6 1.2893 3.5609 -6.2362 22 7 2.6003 1.7314 -7.2012 23 6 2.6129 2.5471 -8.4341 24 1 2.9823 3.5504 -8.2216 25 6 1.2111 2.6126 -9.0438 26 6 3.5822 1.8064 -9.3888 27 6 4.6679 1.3009 -8.4027 28 6 3.8553 0.9602 -7.1358 29 1 3.6341 -0.1068 -7.1130 30 6 4.6441 1.3548 -5.8856 31 1 -0.3634 0.5138 0.8899 32 1 -0.3633 0.5138 -0.8901 33 1 -0.3633 -1.0277 -0.0005 34 1 1.8934 -0.5138 -0.8899 35 1 1.8932 -0.5138 0.8901 36 1 1.5815 1.6878 2.0284 37 1 2.0954 3.1411 1.1383 38 1 2.4327 3.2783 3.3381 39 1 2.6215 0.4186 -2.5301 40 1 0.9435 1.0122 -2.5299 41 1 1.1704 4.1891 -5.3533 42 1 1.5102 4.1874 -7.1005 43 1 0.3677 3.0068 -6.4147 44 1 0.5239 3.0624 -8.3272 45 1 1.2370 3.2170 -9.9504 46 1 0.8736 1.6053 -9.2878 47 1 4.0085 2.4918 -10.1213 48 1 3.0831 0.9719 -9.8815 49 1 5.3951 2.0859 -8.1946 50 1 5.1609 0.4115 -8.7950 51 1 4.0579 1.1203 -4.9970 52 1 5.5825 0.8011 -5.8583 53 1 4.8538 2.4242 -5.9108 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 ZINC000741021713.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 06:10:14 Heat of formation + Delta-G solvation = -105.707578 kcal Electronic energy + Delta-G solvation = -31430.557895 eV Core-core repulsion = 27303.011812 eV Total energy + Delta-G solvation = -4127.546083 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -41.24622 -39.74462 -38.86191 -36.31174 -35.40925 -34.00575 -33.27500 -33.13432 -30.17714 -29.57556 -28.89041 -28.43420 -26.29091 -25.02908 -23.91906 -23.14818 -22.65351 -21.39495 -20.92832 -19.38585 -18.83251 -17.85184 -17.04356 -16.86307 -16.67719 -16.40678 -16.18612 -15.86863 -15.30114 -14.79463 -14.24741 -14.02141 -13.83786 -13.72108 -13.59796 -13.49476 -13.25146 -13.10664 -12.79172 -12.60885 -12.48967 -12.43494 -12.23380 -12.15432 -12.07322 -11.76817 -11.67612 -11.61567 -11.42011 -11.35792 -11.09157 -11.05884 -11.00965 -10.87513 -10.80585 -10.60776 -10.55312 -10.32734 -10.11322 -9.20288 -9.09748 -8.59665 -8.41322 -7.74301 -6.41516 -4.13803 2.19171 2.31368 3.16508 3.41468 3.45766 3.50234 3.63146 3.79964 4.18484 4.30137 4.50468 4.51453 4.65296 4.71343 4.76699 4.79783 4.83755 4.94433 5.03724 5.07104 5.13168 5.15949 5.27798 5.29505 5.31677 5.34023 5.36402 5.40277 5.47216 5.49400 5.49775 5.57484 5.65037 5.68005 5.73124 5.82147 5.88131 5.92219 6.03267 6.05160 6.09428 6.34814 6.38012 6.63311 6.68041 6.74668 7.06341 7.29486 7.78985 7.99057 8.14625 8.38358 8.72884 8.86683 9.55690 10.95979 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016495 B = 0.002542 C = 0.002385 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1697.057436 B =11012.583939 C =11734.921308 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.170 4.170 2 C 0.102 3.898 3 N -0.589 5.589 4 C 0.238 3.762 5 C -0.608 4.608 6 H 0.051 0.949 7 C 0.020 3.980 8 N -0.908 5.908 9 Si 1.072 2.928 10 H -0.281 1.281 11 H -0.288 1.288 12 H -0.287 1.287 13 C 0.508 3.492 14 O -0.519 6.519 15 C 0.052 3.948 16 O -0.334 6.334 17 C 0.468 3.532 18 O -0.492 6.492 19 C 0.083 3.917 20 H 0.088 0.912 21 C -0.152 4.152 22 N -0.503 5.503 23 C 0.070 3.930 24 H 0.059 0.941 25 C -0.144 4.144 26 C -0.124 4.124 27 C -0.139 4.139 28 C 0.070 3.930 29 H 0.092 0.908 30 C -0.179 4.179 31 H 0.062 0.938 32 H 0.050 0.950 33 H 0.064 0.936 34 H 0.066 0.934 35 H 0.087 0.913 36 H 0.025 0.975 37 H 0.035 0.965 38 H 0.268 0.732 39 H 0.094 0.906 40 H 0.094 0.906 41 H 0.076 0.924 42 H 0.077 0.923 43 H 0.072 0.928 44 H 0.065 0.935 45 H 0.057 0.943 46 H 0.063 0.937 47 H 0.075 0.925 48 H 0.078 0.922 49 H 0.070 0.930 50 H 0.076 0.924 51 H 0.058 0.942 52 H 0.070 0.930 53 H 0.064 0.936 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.187 -4.433 -25.329 25.911 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 -0.229 4.229 2 C -0.022 4.022 3 N -0.322 5.322 4 C 0.119 3.881 5 C -0.647 4.647 6 H 0.070 0.930 7 C -0.184 4.184 8 N -0.544 5.544 9 Si 0.899 3.101 10 H -0.206 1.206 11 H -0.214 1.214 12 H -0.214 1.214 13 C 0.292 3.708 14 O -0.395 6.395 15 C -0.025 4.025 16 O -0.249 6.249 17 C 0.309 3.691 18 O -0.379 6.379 19 C -0.027 4.027 20 H 0.105 0.895 21 C -0.209 4.209 22 N -0.229 5.229 23 C -0.038 4.038 24 H 0.077 0.923 25 C -0.202 4.202 26 C -0.162 4.162 27 C -0.177 4.177 28 C -0.038 4.038 29 H 0.110 0.890 30 C -0.237 4.237 31 H 0.081 0.919 32 H 0.069 0.931 33 H 0.083 0.917 34 H 0.084 0.916 35 H 0.106 0.894 36 H 0.043 0.957 37 H 0.053 0.947 38 H 0.078 0.922 39 H 0.112 0.888 40 H 0.112 0.888 41 H 0.095 0.905 42 H 0.096 0.904 43 H 0.091 0.909 44 H 0.084 0.916 45 H 0.076 0.924 46 H 0.082 0.918 47 H 0.093 0.907 48 H 0.096 0.904 49 H 0.089 0.911 50 H 0.095 0.905 51 H 0.077 0.923 52 H 0.089 0.911 53 H 0.083 0.917 Dipole moment (debyes) X Y Z Total from point charges -2.429 -4.152 -24.110 24.585 hybrid contribution -0.465 -0.223 -1.007 1.131 sum -2.893 -4.375 -25.117 25.658 Atomic orbital electron populations 1.22233 0.96435 1.01838 1.02349 1.21514 0.93781 0.83763 1.03132 1.48002 1.63987 1.13435 1.06775 1.19376 0.97089 0.93138 0.78495 1.22235 0.96865 1.35935 1.09638 0.93020 1.25816 1.05906 0.93403 0.93270 1.70810 1.07867 1.36144 1.39574 0.83506 0.74166 0.76073 0.76322 1.20623 1.21429 1.21381 1.19729 0.79585 0.87135 0.84307 1.90712 1.44457 1.17539 1.86757 1.22893 1.02666 0.92588 0.84381 1.86563 1.78861 1.45128 1.14322 1.23365 0.74417 0.87082 0.84213 1.90659 1.41478 1.19423 1.86323 1.21386 1.01350 0.92402 0.87541 0.89469 1.22092 0.97309 0.97993 1.03515 1.63475 1.35391 1.23892 1.00136 1.22588 0.96707 0.95523 0.88950 0.92253 1.21959 0.95482 1.02578 1.00188 1.22745 0.95936 1.00340 0.97154 1.22889 0.97816 1.01753 0.95245 1.22452 0.87468 0.99641 0.94221 0.89017 1.22539 1.01174 1.02007 0.97931 0.91931 0.93058 0.91716 0.91595 0.89444 0.95708 0.94724 0.92219 0.88836 0.88793 0.90528 0.90423 0.90860 0.91640 0.92420 0.91840 0.90660 0.90366 0.91143 0.90525 0.92279 0.91138 0.91741 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 -0.17 -2.29 10.24 37.16 0.38 -1.91 16 2 C 0.10 1.65 5.93 -4.04 -0.02 1.62 16 3 N -0.59 -12.52 2.46 -175.06 -0.43 -12.95 16 4 C 0.24 6.16 4.47 -5.19 -0.02 6.13 16 5 C -0.61 -17.36 9.39 -34.44 -0.32 -17.68 16 6 H 0.05 1.49 7.81 -52.49 -0.41 1.08 16 7 C 0.02 0.59 5.46 -17.82 -0.10 0.49 16 8 N -0.91 -27.59 13.65 55.43 0.76 -26.83 16 9 Si 1.07 25.55 29.90 -169.99 -5.08 20.46 16 10 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 11 H -0.29 -6.45 7.11 56.52 0.40 -6.05 16 12 H -0.29 -6.70 7.11 56.52 0.40 -6.30 16 13 C 0.51 10.92 7.75 -10.99 -0.09 10.83 16 14 O -0.52 -13.49 16.08 -14.10 -0.23 -13.72 16 15 C 0.05 0.88 4.50 36.01 0.16 1.04 16 16 O -0.33 -5.68 9.74 -45.88 -0.45 -6.13 16 17 C 0.47 6.90 4.15 36.00 0.15 7.05 16 18 O -0.49 -8.08 15.89 -18.75 -0.30 -8.38 16 19 C 0.08 0.96 2.03 -68.87 -0.14 0.82 16 20 H 0.09 0.97 5.73 -51.92 -0.30 0.67 16 21 C -0.15 -1.46 7.66 37.16 0.28 -1.17 16 22 N -0.50 -5.28 4.31 -209.04 -0.90 -6.19 16 23 C 0.07 0.55 2.37 -66.19 -0.16 0.40 16 24 H 0.06 0.44 6.95 -51.93 -0.36 0.08 16 25 C -0.14 -1.03 9.10 37.16 0.34 -0.69 16 26 C -0.12 -0.83 6.50 -24.60 -0.16 -0.99 16 27 C -0.14 -1.03 6.47 -24.91 -0.16 -1.19 16 28 C 0.07 0.70 3.56 -66.72 -0.24 0.46 16 29 H 0.09 1.03 8.14 -51.93 -0.42 0.61 16 30 C -0.18 -1.94 7.75 37.16 0.29 -1.65 16 31 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 32 H 0.05 0.67 7.22 -51.93 -0.37 0.29 16 33 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 34 H 0.07 0.91 6.44 -51.93 -0.33 0.57 16 35 H 0.09 1.46 8.07 -51.93 -0.42 1.04 16 36 H 0.03 0.64 7.94 -51.93 -0.41 0.22 16 37 H 0.03 1.00 7.29 -51.93 -0.38 0.62 16 38 H 0.27 8.06 7.22 -40.82 -0.29 7.76 16 39 H 0.09 1.44 7.39 -51.93 -0.38 1.05 16 40 H 0.09 1.39 7.18 -51.93 -0.37 1.02 16 41 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 42 H 0.08 0.58 5.67 -51.93 -0.29 0.28 16 43 H 0.07 0.72 7.28 -51.93 -0.38 0.34 16 44 H 0.06 0.48 5.20 -51.93 -0.27 0.21 16 45 H 0.06 0.32 8.14 -51.93 -0.42 -0.10 16 46 H 0.06 0.50 8.13 -51.93 -0.42 0.08 16 47 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 48 H 0.08 0.53 8.05 -51.93 -0.42 0.11 16 49 H 0.07 0.50 7.86 -51.92 -0.41 0.09 16 50 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 51 H 0.06 0.79 4.94 -51.93 -0.26 0.53 16 52 H 0.07 0.68 8.14 -51.93 -0.42 0.25 16 53 H 0.06 0.66 6.45 -51.93 -0.34 0.32 16 LS Contribution 408.64 15.07 6.16 6.16 Total: -1.00 -35.03 408.64 -9.28 -44.30 By element: Atomic # 1 Polarization: 8.70 SS G_CDS: -9.00 Total: -0.30 kcal Atomic # 6 Polarization: 3.37 SS G_CDS: 0.19 Total: 3.56 kcal Atomic # 7 Polarization: -45.39 SS G_CDS: -0.57 Total: -45.97 kcal Atomic # 8 Polarization: -27.25 SS G_CDS: -0.97 Total: -28.23 kcal Atomic # 14 Polarization: 25.55 SS G_CDS: -5.08 Total: 20.46 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -35.03 -9.28 -44.30 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. ZINC000741021713.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 -61.403 kcal (2) G-P(sol) polarization free energy of solvation -35.029 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -96.432 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.275 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.304 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.708 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds