Wall clock time and date at job start Wed Apr 1 2020 05:57:37 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= 0 * 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 O 1.42891 * 1 3 3 Si 1.63101 * 114.00030 * 2 1 4 4 C 1.86305 * 109.46905 * 299.99548 * 3 2 1 5 5 C 1.86306 * 109.46853 * 179.97438 * 3 2 1 6 6 C 1.53007 * 109.46675 * 179.97438 * 5 3 2 7 7 C 1.53005 * 109.46733 * 179.97438 * 6 5 3 8 8 O 1.42899 * 109.46822 * 179.97438 * 7 6 5 9 9 C 1.42900 * 113.99755 * 180.02562 * 8 7 6 10 10 C 1.53005 * 109.46972 * 180.02562 * 9 8 7 11 11 H 1.08994 * 109.47062 * 54.99767 * 10 9 8 12 12 O 1.42900 * 109.47111 * 295.00216 * 10 9 8 13 13 C 1.52996 * 109.46969 * 174.99856 * 10 9 8 14 14 N 1.46903 * 109.47094 * 184.99612 * 13 10 9 15 15 C 1.46901 * 110.99942 * 179.97438 * 14 13 10 16 16 C 1.53787 * 113.61156 * 205.00197 * 15 14 13 17 17 C 1.53781 * 87.07987 * 270.88608 * 16 15 14 18 18 C 1.50701 * 113.61206 * 219.93687 * 17 16 15 19 19 N 1.27939 * 120.00139 * 23.47293 * 18 17 16 20 20 Si 1.86808 * 119.99872 * 203.47332 * 18 17 16 21 21 H 1.48501 * 109.47139 * 90.00028 * 20 18 17 22 22 H 1.48494 * 109.47045 * 210.00018 * 20 18 17 23 23 H 1.48497 * 109.46774 * 330.00079 * 20 18 17 24 24 C 1.53779 * 113.61186 * 107.50604 * 15 14 13 25 25 O 1.63090 * 109.47231 * 59.99761 * 3 2 1 26 26 C 1.42901 * 114.00315 * 60.00280 * 25 3 2 27 27 H 1.09000 * 109.47272 * 60.00206 * 1 2 3 28 28 H 1.09001 * 109.47249 * 180.02562 * 1 2 3 29 29 H 1.08998 * 109.47170 * 300.00494 * 1 2 3 30 30 H 1.09001 * 109.47228 * 300.00003 * 4 3 2 31 31 H 1.09002 * 109.46617 * 60.00088 * 4 3 2 32 32 H 1.08997 * 109.46578 * 180.02562 * 4 3 2 33 33 H 1.08999 * 109.47119 * 60.00089 * 5 3 2 34 34 H 1.08997 * 109.47037 * 299.99460 * 5 3 2 35 35 H 1.08999 * 109.47048 * 60.00323 * 6 5 3 36 36 H 1.08997 * 109.47173 * 299.99653 * 6 5 3 37 37 H 1.08999 * 109.46922 * 60.00451 * 7 6 5 38 38 H 1.08997 * 109.47176 * 299.99857 * 7 6 5 39 39 H 1.08998 * 109.47173 * 59.99925 * 9 8 7 40 40 H 1.09007 * 109.47096 * 299.99984 * 9 8 7 41 41 H 0.96706 * 113.99419 * 299.99850 * 12 10 9 42 42 H 1.09006 * 109.47146 * 64.99852 * 13 10 9 43 43 H 1.08997 * 109.47675 * 305.00117 * 13 10 9 44 44 H 1.00903 * 110.99536 * 56.05268 * 14 13 10 45 45 H 1.08999 * 112.85228 * 336.20403 * 15 14 13 46 46 H 1.09005 * 113.61051 * 156.34013 * 16 15 14 47 47 H 1.08993 * 113.61359 * 25.44050 * 16 15 14 48 48 H 1.09002 * 113.61228 * 89.11929 * 17 16 15 49 49 H 0.97002 * 119.99846 * 179.97438 * 19 18 17 50 50 H 1.09003 * 113.61775 * 334.57316 * 24 15 14 51 51 H 1.08996 * 113.61960 * 203.66042 * 24 15 14 52 52 H 1.08998 * 109.46703 * 300.00069 * 26 25 3 53 53 H 1.09002 * 109.47466 * 59.99346 * 26 25 3 54 54 H 1.08995 * 109.47717 * 180.02562 * 26 25 3 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 8 1.4289 0.0000 0.0000 3 14 2.0923 1.4900 0.0000 4 6 1.5427 2.4144 -1.5213 5 6 3.9495 1.3428 0.0008 6 6 4.5718 2.7406 0.0001 7 6 6.0971 2.6197 0.0014 8 8 6.6783 3.9252 0.0002 9 6 8.1073 3.9251 0.0007 10 6 8.6174 5.3677 0.0000 11 1 8.1824 5.9072 0.8412 12 8 8.2397 6.0058 -1.2216 13 6 10.1421 5.3695 0.1262 14 7 10.6218 6.7529 0.2459 15 6 12.0850 6.7937 0.3699 16 6 12.6078 8.0512 1.0844 17 6 12.6529 8.7224 -0.2984 18 6 13.8652 9.5929 -0.5076 19 7 14.9256 9.3885 0.1784 20 14 13.8195 10.9705 -1.7685 21 1 13.3425 12.2188 -1.1208 22 1 15.1831 11.1863 -2.3153 23 1 12.8965 10.6013 -2.8716 24 6 12.7960 7.3109 -0.8918 25 8 1.6111 2.2994 1.3316 26 6 1.9843 1.6718 2.5599 27 1 -0.3634 0.5138 -0.8900 28 1 -0.3634 -1.0277 0.0005 29 1 -0.3633 0.5139 0.8899 30 1 1.8643 1.8735 -2.4112 31 1 0.4560 2.5005 -1.5212 32 1 1.9864 3.4100 -1.5214 33 1 4.2715 0.8017 -0.8890 34 1 4.2708 0.8021 0.8910 35 1 4.2499 3.2820 0.8897 36 1 4.2506 3.2809 -0.8903 37 1 6.4194 2.0781 -0.8879 38 1 6.4180 2.0796 0.8921 39 1 8.4709 3.4103 -0.8886 40 1 8.4704 3.4122 0.8914 41 1 8.5922 5.5781 -2.0140 42 1 10.5805 4.9082 -0.7587 43 1 10.4341 4.8058 1.0122 44 1 10.1803 7.2228 1.0219 45 1 12.5030 5.8651 0.7585 46 1 13.5902 7.9191 1.5379 47 1 11.8835 8.4999 1.7642 48 1 11.7224 9.2193 -0.5731 49 1 15.7060 9.9486 0.0435 50 1 12.2236 7.1622 -1.8075 51 1 13.8297 6.9765 -0.9786 52 1 1.5399 0.6777 2.6096 53 1 3.0699 1.5873 2.6097 54 1 1.6274 2.2711 3.3974 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=0 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 ZINC001252267710.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 05:57:37 Heat of formation + Delta-G solvation = -198.641030 kcal Electronic energy + Delta-G solvation = -28117.447994 eV Core-core repulsion = 24019.936530 eV Total energy + Delta-G solvation = -4097.511464 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 348.209 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.56652 -39.53997 -37.98713 -37.92579 -37.44486 -36.11639 -34.47627 -34.15782 -30.77480 -29.10317 -27.72241 -27.28685 -27.14725 -26.55228 -26.33372 -24.90715 -22.87535 -22.20642 -21.44990 -19.65883 -18.27657 -18.02356 -17.68840 -17.58447 -17.23346 -17.06007 -16.79900 -16.26765 -16.23215 -16.09034 -16.04725 -15.65279 -15.49413 -15.31358 -15.00169 -14.82143 -14.55571 -14.36651 -14.16052 -13.81985 -13.58642 -13.43637 -13.21649 -13.20255 -13.12426 -12.98986 -12.73781 -12.54201 -12.51079 -12.36502 -12.04805 -11.96999 -11.90892 -11.76430 -11.65595 -11.60824 -11.49866 -11.26971 -10.96098 -10.88599 -10.80255 -10.56910 -10.43249 -9.72000 -9.36503 0.85415 1.13771 1.22604 1.43741 1.76192 1.90183 1.92852 1.99872 2.24007 2.46889 3.15885 3.51230 3.58128 3.65116 3.86730 3.94468 3.99448 4.01505 4.04817 4.10866 4.24186 4.26011 4.28834 4.31448 4.33534 4.38502 4.40673 4.41864 4.43749 4.51368 4.54263 4.62728 4.66787 4.68850 4.70270 4.77942 4.85125 4.88439 4.99080 5.01258 5.02350 5.10824 5.11144 5.15849 5.18305 5.31706 5.34639 5.43078 5.47671 5.62220 6.03134 6.23293 6.34374 6.82417 6.95716 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.054 3.946 2 O -0.660 6.660 3 Si 1.472 2.528 4 C -0.524 4.524 5 C -0.485 4.485 6 C -0.103 4.103 7 C 0.062 3.938 8 O -0.378 6.378 9 C 0.031 3.969 10 C 0.114 3.886 11 H 0.105 0.895 12 O -0.539 6.539 13 C 0.031 3.969 14 N -0.661 5.661 15 C 0.057 3.943 16 C -0.126 4.126 17 C -0.079 4.079 18 C 0.007 3.993 19 N -0.635 5.635 20 Si 0.928 3.072 21 H -0.240 1.240 22 H -0.251 1.251 23 H -0.233 1.233 24 C -0.110 4.110 25 O -0.656 6.656 26 C 0.054 3.946 27 H 0.048 0.952 28 H 0.082 0.918 29 H 0.048 0.952 30 H 0.077 0.923 31 H 0.070 0.930 32 H 0.079 0.921 33 H 0.083 0.917 34 H 0.078 0.922 35 H 0.074 0.926 36 H 0.074 0.926 37 H 0.047 0.953 38 H 0.046 0.954 39 H 0.052 0.948 40 H 0.055 0.945 41 H 0.372 0.628 42 H 0.078 0.922 43 H 0.041 0.959 44 H 0.346 0.654 45 H 0.060 0.940 46 H 0.102 0.898 47 H 0.067 0.933 48 H 0.111 0.889 49 H 0.335 0.665 50 H 0.078 0.922 51 H 0.083 0.917 52 H 0.047 0.953 53 H 0.047 0.953 54 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.323 -2.724 0.780 2.852 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 -0.041 4.041 2 O -0.620 6.620 3 Si 1.556 2.444 4 C -0.625 4.625 5 C -0.563 4.563 6 C -0.141 4.141 7 C -0.014 4.014 8 O -0.297 6.297 9 C -0.047 4.047 10 C 0.054 3.946 11 H 0.122 0.878 12 O -0.343 6.343 13 C -0.099 4.099 14 N -0.293 5.293 15 C -0.053 4.053 16 C -0.164 4.164 17 C -0.098 4.098 18 C -0.242 4.242 19 N -0.247 5.247 20 Si 0.745 3.255 21 H -0.164 1.164 22 H -0.174 1.174 23 H -0.155 1.155 24 C -0.150 4.150 25 O -0.616 6.616 26 C -0.041 4.041 27 H 0.066 0.934 28 H 0.101 0.899 29 H 0.067 0.933 30 H 0.096 0.904 31 H 0.090 0.910 32 H 0.098 0.902 33 H 0.102 0.898 34 H 0.097 0.903 35 H 0.092 0.908 36 H 0.093 0.907 37 H 0.066 0.934 38 H 0.064 0.936 39 H 0.070 0.930 40 H 0.074 0.926 41 H 0.218 0.782 42 H 0.097 0.903 43 H 0.059 0.941 44 H 0.166 0.834 45 H 0.078 0.922 46 H 0.120 0.880 47 H 0.086 0.914 48 H 0.129 0.871 49 H 0.151 0.849 50 H 0.096 0.904 51 H 0.102 0.898 52 H 0.066 0.934 53 H 0.065 0.935 54 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -0.538 -2.102 0.747 2.295 hybrid contribution 1.301 -0.441 -0.095 1.377 sum 0.763 -2.543 0.652 2.734 Atomic orbital electron populations 1.22194 0.78057 1.03311 1.00518 1.85444 1.23613 1.62136 1.90832 0.74883 0.62089 0.48785 0.58691 1.27127 1.06583 1.10575 1.18229 1.27133 1.24499 0.99246 1.05455 1.20984 0.92985 0.96492 1.03624 1.22641 0.94336 0.84428 0.99997 1.87951 1.18405 1.27995 1.95363 1.23206 0.82520 0.98163 1.00840 1.21842 0.92078 0.91245 0.89435 0.87758 1.86671 1.76400 1.56422 1.14783 1.22623 0.95151 0.90464 1.01630 1.60196 1.04335 1.14918 1.49849 1.22601 0.87572 0.97635 0.97540 1.23212 1.02491 0.95050 0.95687 1.21789 0.95406 0.94411 0.98223 1.30099 0.95275 1.00724 0.98128 1.68094 1.02768 1.29168 1.24718 0.85786 0.82269 0.78114 0.79367 1.16371 1.17390 1.15493 1.22936 1.00308 0.93699 0.98009 1.85467 1.81795 1.65791 1.28521 1.22186 0.99157 0.96860 0.85877 0.93377 0.89912 0.93329 0.90373 0.91041 0.90221 0.89779 0.90335 0.90774 0.90699 0.93433 0.93557 0.92956 0.92650 0.78177 0.90308 0.94091 0.83428 0.92189 0.87965 0.91393 0.87059 0.84857 0.90356 0.89801 0.93431 0.93478 0.89913 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 0.05 -0.05 10.20 101.05 1.03 0.98 16 2 O -0.66 -0.49 8.92 -53.57 -0.48 -0.97 16 3 Si 1.47 -0.56 10.69 -169.99 -1.82 -2.38 16 4 C -0.52 -0.08 8.50 101.05 0.86 0.78 16 5 C -0.48 0.24 4.30 37.16 0.16 0.40 16 6 C -0.10 -0.06 4.96 -26.72 -0.13 -0.19 16 7 C 0.06 0.05 5.94 37.16 0.22 0.27 16 8 O -0.38 -0.93 10.31 -40.08 -0.41 -1.35 16 9 C 0.03 -0.01 5.57 37.16 0.21 0.20 16 10 C 0.11 -0.03 3.43 -26.73 -0.09 -0.12 16 11 H 0.10 0.06 8.14 -51.93 -0.42 -0.37 16 12 O -0.54 -0.90 13.25 -40.08 -0.53 -1.43 16 13 C 0.03 -0.05 5.17 -3.82 -0.02 -0.07 16 14 N -0.66 0.49 6.40 -105.86 -0.68 -0.19 16 15 C 0.06 -0.04 4.22 -66.90 -0.28 -0.32 16 16 C -0.13 0.04 7.19 -25.92 -0.19 -0.15 16 17 C -0.08 0.02 3.61 -90.96 -0.33 -0.31 16 18 C 0.01 0.00 5.11 -13.90 -0.07 -0.07 16 19 N -0.64 -0.61 12.64 56.23 0.71 0.10 16 20 Si 0.93 -0.58 29.57 -169.99 -5.03 -5.61 16 21 H -0.24 -0.07 7.11 56.52 0.40 0.33 16 22 H -0.25 -0.06 7.11 56.52 0.40 0.34 16 23 H -0.23 0.01 7.11 56.52 0.40 0.41 16 24 C -0.11 0.04 7.43 -25.92 -0.19 -0.16 16 25 O -0.66 -0.56 8.92 -53.57 -0.48 -1.04 16 26 C 0.05 -0.05 10.20 101.05 1.03 0.98 16 27 H 0.05 -0.09 7.21 -51.93 -0.37 -0.47 16 28 H 0.08 -0.15 8.14 -51.93 -0.42 -0.58 16 29 H 0.05 -0.08 7.83 -51.93 -0.41 -0.49 16 30 H 0.08 -0.02 7.96 -51.93 -0.41 -0.43 16 31 H 0.07 0.00 7.48 -51.93 -0.39 -0.38 16 32 H 0.08 0.03 7.79 -51.93 -0.40 -0.38 16 33 H 0.08 -0.07 7.96 -51.93 -0.41 -0.48 16 34 H 0.08 -0.07 7.48 -51.93 -0.39 -0.46 16 35 H 0.07 0.06 7.97 -51.93 -0.41 -0.36 16 36 H 0.07 0.05 7.79 -51.93 -0.40 -0.36 16 37 H 0.05 0.01 8.14 -51.93 -0.42 -0.41 16 38 H 0.05 0.00 8.14 -51.93 -0.42 -0.42 16 39 H 0.05 -0.07 8.14 -51.93 -0.42 -0.49 16 40 H 0.06 -0.07 8.14 -51.93 -0.42 -0.50 16 41 H 0.37 -0.51 9.05 45.56 0.41 -0.10 16 42 H 0.08 -0.14 8.14 -51.93 -0.42 -0.56 16 43 H 0.04 -0.08 8.13 -51.93 -0.42 -0.51 16 44 H 0.35 -0.38 8.38 -39.29 -0.33 -0.71 16 45 H 0.06 -0.03 7.87 -51.93 -0.41 -0.44 16 46 H 0.10 0.09 7.26 -51.93 -0.38 -0.29 16 47 H 0.07 -0.05 7.91 -51.93 -0.41 -0.46 16 48 H 0.11 -0.08 7.88 -51.93 -0.41 -0.49 16 49 H 0.33 -0.12 8.23 -40.82 -0.34 -0.46 16 50 H 0.08 -0.01 8.14 -51.93 -0.42 -0.43 16 51 H 0.08 0.00 8.10 -51.93 -0.42 -0.42 16 52 H 0.05 -0.08 7.83 -51.93 -0.41 -0.49 16 53 H 0.05 -0.10 7.21 -51.93 -0.37 -0.47 16 54 H 0.08 -0.14 8.14 -51.93 -0.42 -0.57 16 LS Contribution 438.42 15.07 6.61 6.61 Total: 0.00 -6.31 438.42 -9.59 -15.90 By element: Atomic # 1 Polarization: -2.19 SS G_CDS: -9.69 Total: -11.88 kcal Atomic # 6 Polarization: 0.03 SS G_CDS: 2.20 Total: 2.23 kcal Atomic # 7 Polarization: -0.12 SS G_CDS: 0.03 Total: -0.09 kcal Atomic # 8 Polarization: -2.88 SS G_CDS: -1.90 Total: -4.78 kcal Atomic # 14 Polarization: -1.15 SS G_CDS: -6.84 Total: -7.99 kcal Total LS contribution 6.61 Total: 6.61 kcal Total: -6.31 -9.59 -15.90 kcal The number of atoms in the molecule is 54 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. ZINC001252267710.mol2 54 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 -182.741 kcal (2) G-P(sol) polarization free energy of solvation -6.308 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -189.049 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.592 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -15.900 kcal (6) G-S(sol) free energy of system = (1) + (5) -198.641 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds