Wall clock time and date at job start Tue Mar 31 2020 19:17:57 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 1.52996 * 1 3 3 C 1.53003 * 109.47384 * 2 1 4 4 H 1.08999 * 108.44547 * 52.69037 * 3 2 1 5 5 C 1.52565 * 108.39024 * 170.31214 * 3 2 1 6 6 C 1.50883 * 109.35531 * 206.17940 * 5 3 2 7 7 C 1.53945 * 110.09486 * 268.11162 * 6 5 3 8 8 N 1.47599 * 112.14356 * 40.56338 * 7 6 5 9 9 C 1.34781 * 118.64053 * 222.13372 * 8 7 6 10 10 O 1.21344 * 120.00211 * 353.59380 * 9 8 7 11 11 C 1.49459 * 119.99227 * 173.59656 * 9 8 7 12 12 O 1.21344 * 120.00307 * 6.34114 * 11 9 8 13 13 N 1.34779 * 119.99468 * 186.34061 * 11 9 8 14 14 C 1.46926 * 120.63026 * 7.20698 * 13 11 9 15 15 C 1.53193 * 108.77954 * 126.36725 * 14 13 11 16 16 C 1.53045 * 109.30848 * 54.62966 * 15 14 13 17 17 C 1.53042 * 109.53994 * 298.63577 * 16 15 14 18 18 H 1.08998 * 109.49807 * 301.41519 * 17 16 15 19 19 C 1.50700 * 109.49794 * 181.35271 * 17 16 15 20 20 H 1.08003 * 120.00021 * 0.02562 * 19 17 16 21 21 C 1.37869 * 120.00296 * 180.02562 * 19 17 16 22 22 N 1.31518 * 120.00566 * 179.97438 * 21 19 17 23 23 Si 1.86804 * 119.99993 * 359.97438 * 21 19 17 24 24 H 1.48503 * 109.47305 * 89.99651 * 23 21 19 25 25 H 1.48492 * 109.47368 * 210.00208 * 23 21 19 26 26 H 1.48508 * 109.46978 * 330.00202 * 23 21 19 27 27 C 1.46922 * 120.62934 * 186.91916 * 13 11 9 28 28 C 1.44574 * 122.71250 * 42.12898 * 8 7 6 29 29 C 1.47095 * 108.50940 * 294.99834 * 3 2 1 30 30 H 1.08999 * 109.46950 * 59.99873 * 1 2 3 31 31 H 1.08995 * 109.47171 * 180.02562 * 1 2 3 32 32 H 1.09002 * 109.46995 * 300.00216 * 1 2 3 33 33 H 1.09002 * 109.46995 * 239.99784 * 2 1 3 34 34 H 1.08997 * 109.47253 * 119.99679 * 2 1 3 35 35 H 1.09002 * 109.49492 * 326.14310 * 5 3 2 36 36 H 1.08996 * 109.49235 * 86.21590 * 5 3 2 37 37 H 1.09002 * 109.36777 * 28.30057 * 6 5 3 38 38 H 1.09002 * 109.36299 * 148.04504 * 6 5 3 39 39 H 1.08997 * 108.94581 * 161.25364 * 7 6 5 40 40 H 1.09005 * 108.94509 * 279.96235 * 7 6 5 41 41 H 1.09001 * 109.58251 * 246.14997 * 14 13 11 42 42 H 1.09002 * 109.59135 * 6.57912 * 14 13 11 43 43 H 1.08993 * 109.49986 * 174.57970 * 15 14 13 44 44 H 1.09001 * 109.49527 * 294.65074 * 15 14 13 45 45 H 1.08995 * 109.45921 * 58.66481 * 16 15 14 46 46 H 1.08999 * 109.45507 * 178.61885 * 16 15 14 47 47 H 0.96997 * 120.00326 * 179.97438 * 22 21 19 48 48 H 1.08999 * 109.58711 * 353.42393 * 27 13 11 49 49 H 1.08997 * 109.58455 * 113.84404 * 27 13 11 50 50 H 1.08999 * 109.45000 * 149.23090 * 28 8 7 51 51 H 1.09008 * 109.44583 * 29.31770 * 28 8 7 52 52 H 1.08998 * 109.32858 * 296.36427 * 29 3 2 53 53 H 1.09003 * 109.32832 * 55.84753 * 29 3 2 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 1 1.5641 1.9766 0.8224 5 6 3.5459 1.4205 0.2436 6 6 3.9695 2.7239 0.8747 7 6 4.3836 3.7293 -0.2150 8 7 3.4875 3.6801 -1.3869 9 6 4.0312 3.7378 -2.6188 10 8 5.2199 3.9448 -2.7483 11 6 3.1700 3.5469 -3.8253 12 8 1.9662 3.4549 -3.7031 13 7 3.7305 3.4768 -5.0490 14 6 5.1910 3.4280 -5.2017 15 6 5.5571 2.2103 -6.0561 16 6 4.7884 2.2702 -7.3782 17 6 3.2843 2.2292 -7.0981 18 1 3.0403 1.3168 -6.5541 19 6 2.5290 2.2548 -8.4019 20 1 3.0675 2.2956 -9.3372 21 6 1.1506 2.2259 -8.4007 22 7 0.4914 2.2487 -9.5385 23 14 0.2192 2.1545 -6.7830 24 1 -0.0568 3.5346 -6.3093 25 1 -1.0636 1.4335 -6.9819 26 1 1.0378 1.4385 -5.7717 27 6 2.8925 3.4415 -6.2552 28 6 2.0507 3.5724 -1.2678 29 6 1.6400 2.0793 -1.2642 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3633 -1.0276 0.0005 32 1 -0.3633 0.5139 0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 3.7944 0.5955 0.9113 36 1 4.0660 1.2901 -0.7053 37 1 3.1386 3.1346 1.4484 38 1 4.8147 2.5457 1.5396 39 1 4.3624 4.7350 0.2048 40 1 5.3996 3.5025 -0.5382 41 1 5.5374 4.3369 -5.6936 42 1 5.6583 3.3399 -4.2209 43 1 6.6282 2.2160 -6.2575 44 1 5.2921 1.2980 -5.5217 45 1 5.0355 3.1944 -7.9004 46 1 5.0656 1.4177 -7.9982 47 1 -0.4784 2.2280 -9.5377 48 1 1.8436 3.3623 -5.9693 49 1 3.0476 4.3515 -6.8347 50 1 1.5778 4.0770 -2.1103 51 1 1.7276 4.0400 -0.3375 52 1 2.1271 1.5691 -2.0951 53 1 0.5589 2.0022 -1.3807 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 ZINC001350228520.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 19:17:57 Heat of formation + Delta-G solvation = -53.714207 kcal Electronic energy + Delta-G solvation = -32066.641566 eV Core-core repulsion = 28131.806137 eV Total energy + Delta-G solvation = -3934.835430 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -41.18299 -39.28223 -38.15366 -37.21053 -35.34481 -33.42630 -33.06495 -31.92298 -30.79413 -30.49874 -27.68214 -26.00260 -25.32661 -25.11749 -23.46590 -22.42262 -21.98674 -20.70417 -20.31167 -19.44064 -18.75681 -17.08803 -17.03648 -16.64853 -16.09343 -16.04169 -15.37513 -14.97262 -14.89300 -14.51735 -14.28169 -14.15634 -13.86321 -13.67565 -13.49555 -13.15359 -13.12485 -13.00868 -12.77203 -12.56897 -12.51538 -12.25064 -12.16395 -11.94213 -11.60833 -11.48412 -11.18060 -11.11249 -11.07601 -10.81200 -10.61195 -10.53888 -10.44869 -10.44105 -10.24728 -9.92177 -9.77166 -9.36673 -9.15177 -8.91825 -8.64355 -8.53063 -8.14012 -6.12445 -4.14130 1.58268 2.45216 3.33537 3.37817 3.41807 3.52374 3.60543 4.29561 4.39445 4.43709 4.54767 4.61566 4.82566 4.88766 5.04344 5.09672 5.19270 5.25208 5.34689 5.40562 5.41847 5.47239 5.49119 5.51326 5.59838 5.66309 5.69934 5.77090 5.83238 5.88349 5.91839 5.97625 5.98844 6.05379 6.08541 6.12265 6.15598 6.23792 6.27976 6.37027 6.44021 6.46355 6.56750 6.63680 6.74692 6.83735 7.04497 7.13369 7.41353 7.60947 7.70017 7.87256 8.25692 8.47380 8.91031 9.48631 10.99510 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012138 B = 0.004484 C = 0.003645 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2306.321996 B = 6242.362931 C = 7679.561348 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 -0.122 4.122 3 C -0.087 4.087 4 H 0.065 0.935 5 C -0.113 4.113 6 C -0.129 4.129 7 C 0.108 3.892 8 N -0.575 5.575 9 C 0.506 3.494 10 O -0.518 6.518 11 C 0.495 3.505 12 O -0.522 6.522 13 N -0.569 5.569 14 C 0.067 3.933 15 C -0.136 4.136 16 C -0.102 4.102 17 C 0.006 3.994 18 H 0.030 0.970 19 C -0.515 4.515 20 H 0.078 0.922 21 C 0.072 3.928 22 N -0.896 5.896 23 Si 0.879 3.121 24 H -0.274 1.274 25 H -0.296 1.296 26 H -0.261 1.261 27 C 0.098 3.902 28 C 0.087 3.913 29 C -0.124 4.124 30 H 0.060 0.940 31 H 0.051 0.949 32 H 0.052 0.948 33 H 0.061 0.939 34 H 0.058 0.942 35 H 0.064 0.936 36 H 0.063 0.937 37 H 0.067 0.933 38 H 0.076 0.924 39 H 0.066 0.934 40 H 0.090 0.910 41 H 0.065 0.935 42 H 0.134 0.866 43 H 0.066 0.934 44 H 0.057 0.943 45 H 0.056 0.944 46 H 0.059 0.941 47 H 0.265 0.735 48 H 0.080 0.920 49 H 0.072 0.928 50 H 0.126 0.874 51 H 0.068 0.932 52 H 0.065 0.935 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.361 0.595 22.554 23.441 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 -0.213 4.213 2 C -0.160 4.160 3 C -0.105 4.105 4 H 0.083 0.917 5 C -0.151 4.151 6 C -0.167 4.167 7 C -0.013 4.013 8 N -0.307 5.307 9 C 0.290 3.710 10 O -0.396 6.396 11 C 0.277 3.723 12 O -0.400 6.400 13 N -0.300 5.300 14 C -0.054 4.054 15 C -0.174 4.174 16 C -0.140 4.140 17 C -0.014 4.014 18 H 0.048 0.952 19 C -0.554 4.554 20 H 0.096 0.904 21 C -0.131 4.131 22 N -0.533 5.533 23 Si 0.709 3.291 24 H -0.200 1.200 25 H -0.223 1.223 26 H -0.186 1.186 27 C -0.022 4.022 28 C -0.035 4.035 29 C -0.162 4.162 30 H 0.079 0.921 31 H 0.070 0.930 32 H 0.071 0.929 33 H 0.080 0.920 34 H 0.077 0.923 35 H 0.083 0.917 36 H 0.082 0.918 37 H 0.086 0.914 38 H 0.095 0.905 39 H 0.084 0.916 40 H 0.108 0.892 41 H 0.083 0.917 42 H 0.151 0.849 43 H 0.085 0.915 44 H 0.076 0.924 45 H 0.075 0.925 46 H 0.077 0.923 47 H 0.075 0.925 48 H 0.098 0.902 49 H 0.091 0.909 50 H 0.143 0.857 51 H 0.086 0.914 52 H 0.084 0.916 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges 6.161 0.667 22.470 23.309 hybrid contribution -0.739 -0.055 0.718 1.032 sum 5.422 0.612 23.188 23.821 Atomic orbital electron populations 1.21864 0.95929 1.01533 1.01997 1.21711 0.96002 0.96515 1.01767 1.20199 0.95325 0.96310 0.98699 0.91691 1.21160 0.95866 0.96891 1.01143 1.21753 1.01989 0.95628 0.97293 1.21949 0.94577 0.99311 0.85487 1.47655 1.08272 1.70005 1.04792 1.20557 0.87771 0.77637 0.85016 1.90425 1.16085 1.48224 1.84844 1.19945 0.88047 0.79676 0.84605 1.90606 1.14666 1.50125 1.84625 1.48386 1.08738 1.67508 1.05373 1.22869 0.79150 0.98524 1.04897 1.21994 0.99793 0.97832 0.97754 1.21472 0.96063 1.01509 0.94965 1.19398 0.93180 0.93011 0.95782 0.95161 1.20962 0.91179 1.51524 0.91694 0.90384 1.25060 0.97746 0.94112 0.96154 1.69891 1.07911 1.49949 1.25537 0.86976 0.79225 0.78887 0.84007 1.20015 1.22320 1.18565 1.22710 0.94758 1.01794 0.82900 1.22394 0.78728 0.97802 1.04577 1.21233 1.02192 0.95486 0.97298 0.92100 0.92967 0.92936 0.92037 0.92308 0.91726 0.91778 0.91395 0.90528 0.91583 0.89177 0.91687 0.84942 0.91541 0.92373 0.92490 0.92271 0.92503 0.90190 0.90933 0.85697 0.91408 0.91629 0.90304 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 -0.16 -1.45 9.62 37.16 0.36 -1.09 16 2 C -0.12 -1.17 5.26 -26.73 -0.14 -1.31 16 3 C -0.09 -0.84 1.67 -93.68 -0.16 -1.00 16 4 H 0.06 0.57 7.34 -51.93 -0.38 0.19 16 5 C -0.11 -1.03 4.93 -28.02 -0.14 -1.17 16 6 C -0.13 -0.99 5.71 -27.30 -0.16 -1.14 16 7 C 0.11 1.05 6.06 -2.95 -0.02 1.03 16 8 N -0.57 -7.23 2.24 -173.05 -0.39 -7.62 16 9 C 0.51 7.87 7.54 -11.58 -0.09 7.79 16 10 O -0.52 -8.33 12.46 5.50 0.07 -8.26 16 11 C 0.49 9.13 7.43 -11.58 -0.09 9.04 16 12 O -0.52 -10.41 11.43 5.50 0.06 -10.35 16 13 N -0.57 -10.95 2.98 -173.54 -0.52 -11.46 16 14 C 0.07 1.10 6.03 -3.71 -0.02 1.08 16 15 C -0.14 -2.20 6.08 -26.61 -0.16 -2.36 16 16 C -0.10 -1.99 5.11 -26.69 -0.14 -2.12 16 17 C 0.01 0.14 1.83 -91.87 -0.17 -0.03 16 18 H 0.03 0.75 7.20 -51.93 -0.37 0.38 16 19 C -0.52 -14.26 9.15 -34.44 -0.32 -14.57 16 20 H 0.08 2.31 7.99 -52.48 -0.42 1.89 16 21 C 0.07 2.07 5.45 -17.82 -0.10 1.98 16 22 N -0.90 -27.25 13.96 55.43 0.77 -26.48 16 23 Si 0.88 22.67 24.32 -169.99 -4.13 18.53 16 24 H -0.27 -7.02 6.92 56.52 0.39 -6.63 16 25 H -0.30 -7.61 7.11 56.52 0.40 -7.21 16 26 H -0.26 -6.68 6.53 56.52 0.37 -6.31 16 27 C 0.10 2.20 5.10 -3.94 -0.02 2.18 16 28 C 0.09 1.06 4.96 -4.09 -0.02 1.04 16 29 C -0.12 -1.51 4.13 -28.58 -0.12 -1.63 16 30 H 0.06 0.63 6.39 -51.93 -0.33 0.30 16 31 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 32 H 0.05 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.06 0.66 8.13 -51.93 -0.42 0.24 16 34 H 0.06 0.50 7.82 -51.93 -0.41 0.09 16 35 H 0.06 0.52 7.64 -51.93 -0.40 0.12 16 36 H 0.06 0.72 7.48 -51.93 -0.39 0.34 16 37 H 0.07 0.48 7.32 -51.93 -0.38 0.10 16 38 H 0.08 0.47 8.14 -51.93 -0.42 0.05 16 39 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 40 H 0.09 0.95 7.03 -51.93 -0.37 0.58 16 41 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 42 H 0.13 2.13 4.21 -55.33 -0.23 1.90 16 43 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 44 H 0.06 0.96 8.14 -51.93 -0.42 0.54 16 45 H 0.06 1.09 8.14 -51.93 -0.42 0.66 16 46 H 0.06 1.14 8.14 -51.93 -0.42 0.72 16 47 H 0.27 7.60 8.31 -40.82 -0.34 7.26 16 48 H 0.08 1.95 2.31 -51.93 -0.12 1.83 16 49 H 0.07 1.60 8.14 -51.93 -0.42 1.17 16 50 H 0.13 1.83 5.12 -52.62 -0.27 1.56 16 51 H 0.07 0.66 8.07 -51.92 -0.42 0.24 16 52 H 0.06 0.99 7.48 -51.93 -0.39 0.60 16 53 H 0.08 0.96 6.14 -51.93 -0.32 0.65 16 LS Contribution 381.38 15.07 5.75 5.75 Total: -1.00 -30.77 381.38 -8.89 -39.66 By element: Atomic # 1 Polarization: 11.55 SS G_CDS: -9.02 Total: 2.53 kcal Atomic # 6 Polarization: -0.81 SS G_CDS: -1.48 Total: -2.29 kcal Atomic # 7 Polarization: -45.43 SS G_CDS: -0.13 Total: -45.56 kcal Atomic # 8 Polarization: -18.74 SS G_CDS: 0.13 Total: -18.61 kcal Atomic # 14 Polarization: 22.67 SS G_CDS: -4.13 Total: 18.53 kcal Total LS contribution 5.75 Total: 5.75 kcal Total: -30.77 -8.89 -39.66 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. ZINC001350228520.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 -14.058 kcal (2) G-P(sol) polarization free energy of solvation -30.767 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -44.826 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.888 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.656 kcal (6) G-S(sol) free energy of system = (1) + (5) -53.714 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds