Wall clock time and date at job start Tue Mar 31 2020 19:54:13 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 1.53000 * 1 3 3 C 1.53003 * 109.47461 * 2 1 4 4 C 1.52999 * 109.47239 * 239.99825 * 2 1 3 5 5 C 1.50708 * 109.47106 * 119.99927 * 2 1 3 6 6 O 1.20782 * 119.99797 * 355.24344 * 5 2 1 7 7 C 1.49089 * 120.00195 * 175.24268 * 5 2 1 8 8 O 1.21367 * 119.99724 * 8.90096 * 7 5 2 9 9 N 1.34771 * 119.99795 * 188.90433 * 7 5 2 10 10 C 1.46928 * 120.63444 * 8.33337 * 9 7 5 11 11 C 1.53188 * 108.78165 * 233.58969 * 10 9 7 12 12 C 1.53042 * 109.31181 * 305.36931 * 11 10 9 13 13 C 1.53039 * 109.53943 * 61.35968 * 12 11 10 14 14 C 1.46930 * 120.63103 * 188.32140 * 9 7 5 15 15 H 1.08997 * 109.70290 * 246.26940 * 14 9 7 16 16 C 1.53004 * 109.58356 * 6.61779 * 14 9 7 17 17 H 1.08995 * 109.87876 * 302.33094 * 16 14 9 18 18 C 1.54327 * 109.88034 * 63.34517 * 16 14 9 19 19 C 1.55155 * 103.10390 * 141.51854 * 18 16 14 20 20 C 1.55129 * 101.48657 * 324.72055 * 19 18 16 21 21 N 1.47019 * 109.88253 * 181.14835 * 16 14 9 22 22 C 1.36946 * 125.64270 * 61.68122 * 21 16 14 23 23 H 1.07993 * 119.99883 * 6.06892 * 22 21 16 24 24 C 1.38810 * 119.99658 * 186.06624 * 22 21 16 25 25 N 1.31623 * 120.00333 * 359.97438 * 24 22 21 26 26 Si 1.86799 * 119.99869 * 180.02562 * 24 22 21 27 27 H 1.48502 * 109.47187 * 90.00028 * 26 24 22 28 28 H 1.48504 * 109.47226 * 210.00048 * 26 24 22 29 29 H 1.48499 * 109.47005 * 329.99970 * 26 24 22 30 30 H 1.08993 * 109.47064 * 300.00344 * 1 2 3 31 31 H 1.08998 * 109.46411 * 60.00237 * 1 2 3 32 32 H 1.09001 * 109.46782 * 179.97438 * 1 2 3 33 33 H 1.09000 * 109.46896 * 185.05195 * 3 2 1 34 34 H 1.08995 * 109.47115 * 305.05488 * 3 2 1 35 35 H 1.09008 * 109.46800 * 65.05503 * 3 2 1 36 36 H 1.09001 * 109.47516 * 299.99896 * 4 2 1 37 37 H 1.08998 * 109.47470 * 60.00586 * 4 2 1 38 38 H 1.09006 * 109.47039 * 180.02562 * 4 2 1 39 39 H 1.09007 * 109.58238 * 113.79895 * 10 9 7 40 40 H 1.09002 * 109.70035 * 353.45406 * 10 9 7 41 41 H 1.08990 * 109.49871 * 185.41337 * 11 10 9 42 42 H 1.09001 * 109.51902 * 65.33141 * 11 10 9 43 43 H 1.08997 * 109.45913 * 301.34234 * 12 11 10 44 44 H 1.08997 * 109.44547 * 181.37773 * 12 11 10 45 45 H 1.09004 * 109.49608 * 178.67788 * 13 12 11 46 46 H 1.09004 * 109.52040 * 58.60622 * 13 12 11 47 47 H 1.08997 * 110.72300 * 259.97578 * 18 16 14 48 48 H 1.09000 * 110.71959 * 23.07005 * 18 16 14 49 49 H 1.08999 * 111.00352 * 82.65865 * 19 18 16 50 50 H 1.08999 * 111.01007 * 206.51827 * 19 18 16 51 51 H 1.09007 * 110.20233 * 277.95833 * 20 19 18 52 52 H 1.08992 * 110.51421 * 155.75004 * 20 19 18 53 53 H 0.96994 * 120.00257 * 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 2.0401 1.4425 0.0000 4 6 2.0400 -0.7213 -1.2492 5 6 2.0324 -0.7104 1.2305 6 8 1.2508 -1.0937 2.0679 7 6 3.4939 -0.9401 1.4143 8 8 4.2896 -0.4182 0.6610 9 7 3.9315 -1.7275 2.4167 10 6 2.9841 -2.5100 3.2222 11 6 3.2166 -2.1935 4.7029 12 6 4.6874 -2.4388 5.0480 13 6 5.5711 -1.5111 4.2110 14 6 5.3652 -1.8199 2.7248 15 1 5.7236 -2.8260 2.5076 16 6 6.1380 -0.8063 1.8784 17 1 5.9517 -0.9885 0.8201 18 6 5.7024 0.6272 2.2487 19 6 7.0319 1.4249 2.1907 20 6 8.0463 0.3729 2.7110 21 7 7.5768 -0.9120 2.1616 22 6 8.3525 -2.0205 1.9493 23 1 7.9364 -2.8832 1.4504 24 6 9.6735 -2.0350 2.3754 25 7 10.1807 -0.9832 2.9829 26 14 10.7319 -3.5466 2.0852 27 1 11.4165 -3.4271 0.7729 28 1 11.7461 -3.6554 3.1645 29 1 9.8744 -4.7590 2.0876 30 1 -0.3633 0.5139 0.8899 31 1 -0.3632 0.5138 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 3.1263 1.4437 -0.0905 34 1 1.6048 1.9818 -0.8412 35 1 1.7526 1.9295 0.9319 36 1 1.6768 -1.7490 -1.2492 37 1 1.6768 -0.2075 -2.1392 38 1 3.1301 -0.7217 -1.2489 39 1 3.1460 -3.5735 3.0460 40 1 1.9628 -2.2456 2.9480 41 1 2.5867 -2.8379 5.3160 42 1 2.9668 -1.1502 4.8960 43 1 4.9429 -3.4761 4.8318 44 1 4.8501 -2.2378 6.1068 45 1 6.6169 -1.6698 4.4742 46 1 5.2997 -0.4739 4.4082 47 1 4.9888 1.0136 1.5210 48 1 5.2799 0.6546 3.2531 49 1 7.2665 1.7194 1.1678 50 1 6.9951 2.2942 2.8472 51 1 8.0354 0.3462 3.8006 52 1 9.0492 0.5970 2.3476 53 1 11.1037 -0.9935 3.2809 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=-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 ZINC001025211204.mol2 53 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 19:54:13 Heat of formation + Delta-G solvation = -5.148545 kcal Electronic energy + Delta-G solvation = -32796.019830 eV Core-core repulsion = 28863.290365 eV Total energy + Delta-G solvation = -3932.729465 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -41.34411 -39.43937 -37.47849 -36.69213 -35.78816 -32.53696 -32.48263 -31.07062 -29.18001 -27.78541 -27.43455 -27.21443 -25.85600 -24.52496 -24.06380 -22.96546 -21.37926 -20.54511 -19.70785 -19.07493 -18.33194 -17.14383 -16.61121 -16.04687 -15.81456 -15.31392 -15.11823 -14.61740 -14.53493 -14.27024 -14.15898 -13.86201 -13.69100 -13.60843 -13.24921 -13.01409 -12.77337 -12.48422 -12.37871 -12.32711 -11.96800 -11.78951 -11.75347 -11.68262 -11.34548 -11.23900 -11.13204 -11.10659 -10.90378 -10.87851 -10.76636 -10.51966 -10.43800 -10.17338 -10.04686 -9.76526 -9.58094 -9.49537 -9.36294 -8.59750 -8.38661 -8.12755 -6.68586 -5.62138 -2.98429 0.99334 2.84119 3.12632 3.42375 3.47927 3.49137 4.00163 4.39274 4.55450 4.69299 4.70294 5.01591 5.09905 5.14151 5.23249 5.38614 5.43257 5.47475 5.48048 5.60714 5.62184 5.65749 5.66935 5.71475 5.74665 5.79155 5.84677 5.90058 5.94515 5.98616 6.06228 6.09719 6.11796 6.16108 6.18005 6.24428 6.37696 6.45974 6.51692 6.59236 6.73053 6.83152 6.90378 6.94738 7.01417 7.13169 7.46775 7.60250 7.68553 7.70329 7.94053 8.23000 8.43185 9.29727 9.91980 10.59931 11.45199 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014702 B = 0.004158 C = 0.003802 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1904.040414 B = 6731.709643 C = 7361.895771 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.135 4.135 2 C -0.095 4.095 3 C -0.142 4.142 4 C -0.145 4.145 5 C 0.363 3.637 6 O -0.419 6.419 7 C 0.461 3.539 8 O -0.479 6.479 9 N -0.574 5.574 10 C 0.057 3.943 11 C -0.126 4.126 12 C -0.123 4.123 13 C -0.121 4.121 14 C 0.130 3.870 15 H 0.073 0.927 16 C 0.161 3.839 17 H 0.079 0.921 18 C -0.129 4.129 19 C -0.149 4.149 20 C 0.166 3.834 21 N -0.594 5.594 22 C -0.219 4.219 23 H 0.073 0.927 24 C -0.008 4.008 25 N -0.920 5.920 26 Si 0.907 3.093 27 H -0.290 1.290 28 H -0.292 1.292 29 H -0.283 1.283 30 H 0.061 0.939 31 H 0.065 0.935 32 H 0.059 0.941 33 H 0.084 0.916 34 H 0.067 0.933 35 H 0.054 0.946 36 H 0.053 0.947 37 H 0.068 0.932 38 H 0.084 0.916 39 H 0.060 0.940 40 H 0.134 0.866 41 H 0.067 0.933 42 H 0.062 0.938 43 H 0.060 0.940 44 H 0.058 0.942 45 H 0.090 0.910 46 H 0.062 0.938 47 H 0.078 0.922 48 H 0.052 0.948 49 H 0.056 0.944 50 H 0.050 0.950 51 H 0.012 0.988 52 H 0.087 0.913 53 H 0.250 0.750 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.324 1.977 -2.306 19.561 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 -0.193 4.193 2 C -0.097 4.097 3 C -0.199 4.199 4 C -0.202 4.202 5 C 0.235 3.765 6 O -0.291 6.291 7 C 0.246 3.754 8 O -0.355 6.355 9 N -0.308 5.308 10 C -0.065 4.065 11 C -0.164 4.164 12 C -0.160 4.160 13 C -0.159 4.159 14 C 0.026 3.974 15 H 0.091 0.909 16 C 0.054 3.946 17 H 0.096 0.904 18 C -0.166 4.166 19 C -0.188 4.188 20 C 0.041 3.959 21 N -0.319 5.319 22 C -0.347 4.347 23 H 0.091 0.909 24 C -0.204 4.204 25 N -0.568 5.568 26 Si 0.738 3.262 27 H -0.217 1.217 28 H -0.218 1.218 29 H -0.209 1.209 30 H 0.080 0.920 31 H 0.084 0.916 32 H 0.078 0.922 33 H 0.103 0.897 34 H 0.086 0.914 35 H 0.073 0.927 36 H 0.073 0.927 37 H 0.086 0.914 38 H 0.102 0.898 39 H 0.078 0.922 40 H 0.150 0.850 41 H 0.086 0.914 42 H 0.080 0.920 43 H 0.078 0.922 44 H 0.077 0.923 45 H 0.108 0.892 46 H 0.081 0.919 47 H 0.096 0.904 48 H 0.070 0.930 49 H 0.075 0.925 50 H 0.068 0.932 51 H 0.030 0.970 52 H 0.105 0.895 53 H 0.061 0.939 Dipole moment (debyes) X Y Z Total from point charges -19.069 1.963 -2.206 19.296 hybrid contribution 0.678 -1.035 0.274 1.267 sum -18.391 0.929 -1.932 18.515 Atomic orbital electron populations 1.21781 0.92496 1.02568 1.02421 1.20962 0.97062 0.97632 0.94007 1.21883 1.03673 0.92158 1.02168 1.21931 1.03688 0.99446 0.95133 1.25320 0.89454 0.75048 0.86665 1.90038 1.59218 1.38453 1.41351 1.20528 0.89810 0.81887 0.83165 1.90723 1.53992 1.47779 1.43020 1.48369 1.08857 1.42590 1.31011 1.22896 0.96892 0.95347 0.91333 1.21813 0.97247 1.01788 0.95579 1.21590 0.94515 1.00238 0.99687 1.21895 1.01265 0.98916 0.93806 1.22347 0.76730 1.02116 0.96165 0.90927 1.21662 0.83972 0.91318 0.97686 0.90369 1.23049 0.97626 0.96161 0.99768 1.23033 0.97363 0.98134 1.00236 1.21657 0.96729 0.82606 0.94930 1.44692 1.01972 1.11021 1.74170 1.19002 0.92356 0.92568 1.30820 0.90867 1.24756 0.97369 0.97685 1.00621 1.69912 1.14111 1.28047 1.44725 0.86189 0.80379 0.82370 0.77268 1.21719 1.21813 1.20865 0.91990 0.91611 0.92210 0.89741 0.91377 0.92679 0.92745 0.91350 0.89759 0.92190 0.84970 0.91410 0.91951 0.92162 0.92277 0.89182 0.91948 0.90381 0.92980 0.92549 0.93172 0.97024 0.89456 0.93912 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 -0.14 -1.17 7.78 37.16 0.29 -0.88 16 2 C -0.10 -0.98 0.76 -155.66 -0.12 -1.09 16 3 C -0.14 -1.40 8.27 37.16 0.31 -1.09 16 4 C -0.14 -1.43 8.24 37.16 0.31 -1.12 16 5 C 0.36 4.60 5.89 -29.80 -0.18 4.42 16 6 O -0.42 -5.48 12.79 5.98 0.08 -5.40 16 7 C 0.46 7.02 6.46 -11.76 -0.08 6.95 16 8 O -0.48 -8.08 6.95 5.48 0.04 -8.04 16 9 N -0.57 -9.05 2.93 -165.87 -0.49 -9.54 16 10 C 0.06 0.76 6.23 -3.71 -0.02 0.74 16 11 C -0.13 -1.60 6.08 -26.61 -0.16 -1.77 16 12 C -0.12 -1.79 5.88 -26.69 -0.16 -1.95 16 13 C -0.12 -2.18 4.96 -26.62 -0.13 -2.31 16 14 C 0.13 2.44 2.67 -67.60 -0.18 2.26 16 15 H 0.07 1.50 7.95 -51.93 -0.41 1.09 16 16 C 0.16 3.41 2.30 -66.95 -0.15 3.25 16 17 H 0.08 1.81 5.83 -52.39 -0.31 1.50 16 18 C -0.13 -2.46 4.89 -24.90 -0.12 -2.58 16 19 C -0.15 -3.04 7.11 -24.46 -0.17 -3.21 16 20 C 0.17 4.09 5.66 -2.41 -0.01 4.07 16 21 N -0.59 -14.91 2.59 -162.44 -0.42 -15.33 16 22 C -0.22 -5.98 9.81 -15.06 -0.15 -6.13 16 23 H 0.07 1.97 7.83 -52.49 -0.41 1.56 16 24 C -0.01 -0.24 5.48 -17.43 -0.10 -0.33 16 25 N -0.92 -26.74 10.25 55.49 0.57 -26.18 16 26 Si 0.91 22.11 29.55 -169.99 -5.02 17.09 16 27 H -0.29 -7.10 7.11 56.52 0.40 -6.70 16 28 H -0.29 -7.19 7.11 56.52 0.40 -6.79 16 29 H -0.28 -6.73 7.11 56.52 0.40 -6.33 16 30 H 0.06 0.55 8.05 -51.93 -0.42 0.13 16 31 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 32 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 33 H 0.08 0.99 6.67 -51.93 -0.35 0.64 16 34 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 35 H 0.05 0.53 8.14 -51.92 -0.42 0.11 16 36 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 37 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 38 H 0.08 1.00 6.38 -51.93 -0.33 0.67 16 39 H 0.06 0.77 8.14 -51.93 -0.42 0.34 16 40 H 0.13 1.71 3.91 -56.22 -0.22 1.49 16 41 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 42 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 43 H 0.06 0.88 8.14 -51.93 -0.42 0.46 16 44 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 45 H 0.09 1.94 7.86 -51.93 -0.41 1.53 16 46 H 0.06 1.14 5.72 -51.93 -0.30 0.84 16 47 H 0.08 1.43 5.64 -51.93 -0.29 1.14 16 48 H 0.05 0.98 5.45 -51.93 -0.28 0.70 16 49 H 0.06 1.15 8.14 -51.93 -0.42 0.73 16 50 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 51 H 0.01 0.31 8.14 -51.93 -0.42 -0.12 16 52 H 0.09 2.43 6.29 -51.93 -0.33 2.10 16 53 H 0.25 7.12 8.31 -40.82 -0.34 6.78 16 LS Contribution 384.73 15.07 5.80 5.80 Total: -1.00 -29.06 384.73 -9.39 -38.45 By element: Atomic # 1 Polarization: 13.03 SS G_CDS: -9.11 Total: 3.93 kcal Atomic # 6 Polarization: 0.06 SS G_CDS: -0.83 Total: -0.77 kcal Atomic # 7 Polarization: -50.71 SS G_CDS: -0.34 Total: -51.04 kcal Atomic # 8 Polarization: -13.56 SS G_CDS: 0.11 Total: -13.44 kcal Atomic # 14 Polarization: 22.11 SS G_CDS: -5.02 Total: 17.09 kcal Total LS contribution 5.80 Total: 5.80 kcal Total: -29.06 -9.39 -38.45 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. ZINC001025211204.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 33.297 kcal (2) G-P(sol) polarization free energy of solvation -29.061 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 4.237 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.385 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.446 kcal (6) G-S(sol) free energy of system = (1) + (5) -5.149 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds