Wall clock time and date at job start Sat Apr 11 2020 06:10:35 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 O 1.42904 * 1 3 3 C 1.42901 * 113.99863 * 2 1 4 4 C 1.53001 * 109.46957 * 179.97438 * 3 2 1 5 5 C 1.50699 * 109.61765 * 53.77868 * 4 3 2 6 6 O 1.21278 * 120.00158 * 239.40713 * 5 4 3 7 7 N 1.34780 * 119.99883 * 59.39744 * 5 4 3 8 8 C 1.47016 * 125.64589 * 5.28734 * 7 5 4 9 9 C 1.54315 * 107.27663 * 180.96461 * 8 7 5 10 10 C 1.55153 * 102.86253 * 22.52550 * 9 8 7 11 11 H 1.09003 * 111.04155 * 82.38980 * 10 9 8 12 12 C 1.53001 * 111.00627 * 206.23405 * 10 9 8 13 13 H 1.08995 * 109.47170 * 52.19312 * 12 10 9 14 14 C 1.53001 * 109.47477 * 172.19558 * 12 10 9 15 15 N 1.46505 * 109.46575 * 292.19326 * 12 10 9 16 16 C 1.36941 * 119.99498 * 155.00198 * 15 12 10 17 17 H 1.08001 * 120.00051 * 359.97438 * 16 15 12 18 18 C 1.38817 * 119.99611 * 179.97438 * 16 15 12 19 19 N 1.31620 * 119.99930 * 179.97438 * 18 16 15 20 20 Si 1.86795 * 120.00092 * 359.97438 * 18 16 15 21 21 H 1.48503 * 109.47336 * 90.00020 * 20 18 16 22 22 H 1.48498 * 109.47210 * 210.00114 * 20 18 16 23 23 H 1.48505 * 109.47064 * 330.00045 * 20 18 16 24 24 C 1.47421 * 125.65021 * 185.58804 * 7 5 4 25 25 C 1.53177 * 109.54212 * 174.00555 * 4 3 2 26 26 C 1.53091 * 109.16307 * 176.84953 * 25 4 3 27 27 O 1.42904 * 109.41403 * 302.38682 * 26 25 4 28 28 C 1.42909 * 114.09624 * 61.15919 * 27 26 25 29 29 C 1.53090 * 109.41258 * 298.83898 * 28 27 26 30 30 H 1.08993 * 109.46990 * 59.99606 * 1 2 3 31 31 H 1.09001 * 109.47112 * 180.02562 * 1 2 3 32 32 H 1.09004 * 109.46804 * 300.00289 * 1 2 3 33 33 H 1.09003 * 109.47223 * 59.99974 * 3 2 1 34 34 H 1.08993 * 109.47197 * 300.00180 * 3 2 1 35 35 H 1.09007 * 109.88572 * 300.50747 * 8 7 5 36 36 H 1.09003 * 109.89101 * 61.67285 * 8 7 5 37 37 H 1.09004 * 110.92511 * 264.11043 * 9 8 7 38 38 H 1.09000 * 110.74714 * 140.85629 * 9 8 7 39 39 H 1.08998 * 109.47201 * 59.99196 * 14 12 10 40 40 H 1.08993 * 109.47125 * 179.97438 * 14 12 10 41 41 H 1.09004 * 109.46472 * 299.99527 * 14 12 10 42 42 H 0.96992 * 120.00299 * 334.99584 * 15 12 10 43 43 H 0.96992 * 120.00079 * 180.02562 * 19 18 16 44 44 H 1.09000 * 110.36339 * 274.68164 * 24 7 5 45 45 H 1.09000 * 110.36401 * 36.88767 * 24 7 5 46 46 H 1.08993 * 109.52979 * 56.94195 * 25 4 3 47 47 H 1.08998 * 109.56816 * 296.77864 * 25 4 3 48 48 H 1.08999 * 109.48588 * 182.40718 * 26 25 4 49 49 H 1.09005 * 109.48252 * 62.36854 * 26 25 4 50 50 H 1.08994 * 109.48246 * 58.82532 * 28 27 26 51 51 H 1.09001 * 109.47854 * 178.85983 * 28 27 26 52 52 H 1.08991 * 109.52570 * 297.70646 * 29 28 27 53 53 H 1.09004 * 109.57098 * 177.54629 * 29 28 27 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5355 1.1847 0.0006 5 6 3.9741 0.3083 -1.1442 6 8 4.6030 -0.7053 -0.9256 7 7 3.6672 0.6510 -2.4111 8 6 3.0101 1.8989 -2.8259 9 6 2.8426 1.8411 -4.3588 10 6 2.8938 0.3189 -4.6547 11 1 1.9221 -0.1454 -4.4865 12 6 3.3862 0.0533 -6.0788 13 1 4.3240 0.5836 -6.2438 14 6 3.6090 -1.4483 -6.2697 15 7 2.3837 0.5240 -7.0377 16 6 2.7614 0.8745 -8.3065 17 1 3.7984 0.8043 -8.6000 18 6 1.8114 1.3200 -9.2153 19 7 2.1745 1.6574 -10.4346 20 14 0.0178 1.4407 -8.7079 21 1 -0.2482 2.7896 -8.1467 22 1 -0.8482 1.2183 -9.8936 23 1 -0.2762 0.4101 -7.6799 24 6 3.9294 -0.1663 -3.6097 25 6 4.1597 2.5753 -0.1501 26 6 5.6836 2.4536 -0.0694 27 8 6.0465 1.8459 1.1720 28 6 5.5303 0.5250 1.3480 29 6 4.0002 0.5693 1.3242 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5139 0.8900 33 1 1.6886 1.8464 0.8900 34 1 1.6886 1.8464 -0.8899 35 1 2.0341 1.9808 -2.3473 36 1 3.6309 2.7529 -2.5547 37 1 3.6605 2.3591 -4.8596 38 1 1.8819 2.2600 -4.6583 39 1 2.6712 -1.9787 -6.1045 40 1 3.9593 -1.6375 -7.2843 41 1 4.3550 -1.7985 -5.5561 42 1 1.4524 0.5873 -6.7741 43 1 1.5108 1.9691 -11.0696 44 1 4.9430 0.0057 -3.9718 45 1 3.7807 -1.2231 -3.3882 46 1 3.8032 3.2234 0.6504 47 1 3.8787 2.9990 -1.1143 48 1 6.1315 3.4453 -0.1333 49 1 6.0433 1.8383 -0.8942 50 1 5.8879 -0.1155 0.5418 51 1 5.8676 0.1274 2.3052 52 1 3.6405 1.1769 2.1545 53 1 3.6041 -0.4422 1.4146 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 ZINC001484339327.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 06:10:35 Heat of formation + Delta-G solvation = -101.305680 kcal Electronic energy + Delta-G solvation = -32454.738711 eV Core-core repulsion = 28327.383508 eV Total energy + Delta-G solvation = -4127.355203 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -41.37012 -39.02726 -38.02421 -37.56525 -35.50463 -34.49434 -32.45713 -31.40131 -30.63690 -29.75124 -28.59558 -27.68594 -26.28586 -25.08917 -23.97224 -23.55751 -22.72173 -21.53492 -21.22335 -19.87824 -19.05963 -17.61004 -17.10734 -16.79816 -16.49286 -16.37257 -16.23138 -15.94819 -15.32944 -15.16639 -14.75404 -14.42356 -14.25670 -13.94674 -13.85076 -13.65895 -13.24139 -13.17894 -12.85284 -12.76703 -12.64213 -12.49298 -12.35420 -12.10495 -12.01628 -11.93740 -11.72302 -11.65260 -11.43131 -11.02577 -10.93680 -10.84765 -10.70374 -10.62382 -10.43787 -10.28693 -10.06698 -9.95938 -9.80166 -9.62341 -9.46539 -8.97875 -8.63111 -7.31805 -5.80722 -3.16318 2.53537 2.87373 3.31035 3.32087 3.34577 3.41096 3.68545 4.04080 4.34314 4.37893 4.54338 4.55287 4.62028 4.64624 4.70821 4.82010 4.88192 4.97264 5.00192 5.03462 5.08755 5.14588 5.26616 5.32780 5.35473 5.39400 5.41559 5.45324 5.49113 5.54580 5.59287 5.61611 5.71889 5.80090 5.83795 5.85529 5.91991 5.94967 6.07542 6.12162 6.19951 6.33359 6.38688 6.46875 6.76062 6.77084 6.98366 6.99640 7.47491 7.95480 8.10129 8.38313 9.16584 9.88999 10.08808 11.37756 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016240 B = 0.003023 C = 0.002855 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1723.773750 B = 9259.595931 C = 9805.913116 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.382 6.382 3 C 0.064 3.936 4 C -0.073 4.073 5 C 0.550 3.450 6 O -0.535 6.535 7 N -0.612 5.612 8 C 0.085 3.915 9 C -0.120 4.120 10 C -0.105 4.105 11 H 0.079 0.921 12 C 0.191 3.809 13 H 0.058 0.942 14 C -0.168 4.168 15 N -0.746 5.746 16 C -0.241 4.241 17 H 0.090 0.910 18 C 0.005 3.995 19 N -0.934 5.934 20 Si 0.883 3.117 21 H -0.285 1.285 22 H -0.292 1.292 23 H -0.278 1.278 24 C 0.117 3.883 25 C -0.159 4.159 26 C 0.062 3.938 27 O -0.384 6.384 28 C 0.048 3.952 29 C -0.124 4.124 30 H 0.043 0.957 31 H 0.087 0.913 32 H 0.041 0.959 33 H 0.060 0.940 34 H 0.065 0.935 35 H 0.069 0.931 36 H 0.074 0.926 37 H 0.084 0.916 38 H 0.082 0.918 39 H 0.045 0.955 40 H 0.059 0.941 41 H 0.041 0.959 42 H 0.360 0.640 43 H 0.259 0.741 44 H 0.070 0.930 45 H 0.077 0.923 46 H 0.086 0.914 47 H 0.093 0.907 48 H 0.099 0.901 49 H 0.051 0.949 50 H 0.078 0.922 51 H 0.092 0.908 52 H 0.073 0.927 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.250 1.927 25.499 25.573 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 -0.064 4.064 2 O -0.301 6.301 3 C -0.013 4.013 4 C -0.076 4.076 5 C 0.338 3.662 6 O -0.412 6.412 7 N -0.346 5.346 8 C -0.037 4.037 9 C -0.158 4.158 10 C -0.125 4.125 11 H 0.098 0.902 12 C 0.081 3.919 13 H 0.076 0.924 14 C -0.228 4.228 15 N -0.389 5.389 16 C -0.370 4.370 17 H 0.108 0.892 18 C -0.191 4.191 19 N -0.582 5.582 20 Si 0.713 3.287 21 H -0.212 1.212 22 H -0.218 1.218 23 H -0.204 1.204 24 C -0.005 4.005 25 C -0.196 4.196 26 C -0.015 4.015 27 O -0.303 6.303 28 C -0.028 4.028 29 C -0.162 4.162 30 H 0.061 0.939 31 H 0.106 0.894 32 H 0.059 0.941 33 H 0.078 0.922 34 H 0.083 0.917 35 H 0.087 0.913 36 H 0.092 0.908 37 H 0.103 0.897 38 H 0.101 0.899 39 H 0.064 0.936 40 H 0.078 0.922 41 H 0.060 0.940 42 H 0.192 0.808 43 H 0.069 0.931 44 H 0.088 0.912 45 H 0.095 0.905 46 H 0.104 0.896 47 H 0.111 0.889 48 H 0.117 0.883 49 H 0.069 0.931 50 H 0.096 0.904 51 H 0.110 0.890 52 H 0.092 0.908 53 H 0.106 0.894 Dipole moment (debyes) X Y Z Total from point charges 0.968 1.340 25.611 25.665 hybrid contribution -2.034 0.234 -0.086 2.049 sum -1.065 1.574 25.526 25.596 Atomic orbital electron populations 1.22756 0.80649 1.03057 0.99971 1.87950 1.19878 1.26866 1.95375 1.22745 0.91241 0.85841 1.01447 1.20855 0.94945 0.96283 0.95510 1.19766 0.78751 0.85629 0.82060 1.90633 1.40112 1.26804 1.83617 1.48450 1.59840 1.20389 1.05913 1.22607 0.97215 0.86789 0.97103 1.22637 1.03987 0.97128 0.92035 1.22694 0.98883 0.95235 0.95712 0.90240 1.20102 0.93098 0.93022 0.85675 0.92358 1.22464 1.00230 0.98676 1.01470 1.42743 1.05096 1.80036 1.11031 1.19058 0.95680 1.35932 0.86372 0.89195 1.24658 0.97345 1.01403 0.95700 1.69694 1.33177 1.50774 1.04560 0.86577 0.86861 0.77742 0.77479 1.21150 1.21820 1.20402 1.22272 0.99024 0.95710 0.83543 1.22530 0.97515 0.94831 1.04738 1.22520 0.93056 0.98843 0.87082 1.87900 1.74400 1.30358 1.37613 1.22877 0.92538 0.84215 1.03187 1.21978 0.97308 1.02606 0.94266 0.93877 0.89439 0.94057 0.92222 0.91698 0.91294 0.90829 0.89734 0.89890 0.93592 0.92239 0.94000 0.80756 0.93064 0.91172 0.90478 0.89586 0.88940 0.88305 0.93100 0.90420 0.89002 0.90802 0.89417 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 0.03 0.26 11.01 101.05 1.11 1.37 16 2 O -0.38 -4.27 9.82 -35.23 -0.35 -4.61 16 3 C 0.06 0.58 4.57 37.16 0.17 0.75 16 4 C -0.07 -0.74 0.34 -155.47 -0.05 -0.79 16 5 C 0.55 7.30 4.75 -10.98 -0.05 7.25 16 6 O -0.53 -8.80 14.13 5.56 0.08 -8.72 16 7 N -0.61 -7.62 3.31 -170.53 -0.56 -8.19 16 8 C 0.09 0.87 5.35 -3.07 -0.02 0.85 16 9 C -0.12 -1.50 6.28 -24.90 -0.16 -1.66 16 10 C -0.11 -1.49 2.65 -88.47 -0.23 -1.73 16 11 H 0.08 1.16 8.14 -51.93 -0.42 0.74 16 12 C 0.19 3.36 2.42 -67.93 -0.16 3.19 16 13 H 0.06 1.07 8.02 -51.93 -0.42 0.65 16 14 C -0.17 -2.85 9.27 37.16 0.34 -2.50 16 15 N -0.75 -16.37 4.78 -53.42 -0.26 -16.63 16 16 C -0.24 -6.45 10.41 -15.06 -0.16 -6.61 16 17 H 0.09 2.61 8.06 -52.49 -0.42 2.19 16 18 C 0.00 0.13 5.50 -17.43 -0.10 0.04 16 19 N -0.93 -28.65 13.97 55.49 0.78 -27.87 16 20 Si 0.88 21.30 27.73 -169.99 -4.71 16.59 16 21 H -0.28 -6.75 7.11 56.52 0.40 -6.35 16 22 H -0.29 -7.24 7.11 56.52 0.40 -6.84 16 23 H -0.28 -6.31 6.52 56.52 0.37 -5.95 16 24 C 0.12 1.58 5.25 -2.53 -0.01 1.57 16 25 C -0.16 -1.31 4.77 -26.59 -0.13 -1.43 16 26 C 0.06 0.60 6.62 37.20 0.25 0.84 16 27 O -0.38 -4.41 10.77 -35.23 -0.38 -4.79 16 28 C 0.05 0.53 6.55 37.20 0.24 0.78 16 29 C -0.12 -1.28 4.44 -26.59 -0.12 -1.39 16 30 H 0.04 0.33 8.14 -51.93 -0.42 -0.09 16 31 H 0.09 0.66 8.14 -51.93 -0.42 0.23 16 32 H 0.04 0.27 8.14 -51.93 -0.42 -0.16 16 33 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.07 0.54 4.78 -51.93 -0.25 0.29 16 35 H 0.07 0.63 5.23 -51.93 -0.27 0.36 16 36 H 0.07 0.62 5.58 -51.93 -0.29 0.33 16 37 H 0.08 1.11 7.99 -51.93 -0.42 0.69 16 38 H 0.08 1.05 8.14 -51.93 -0.42 0.63 16 39 H 0.04 0.77 8.14 -51.93 -0.42 0.35 16 40 H 0.06 1.12 8.14 -51.93 -0.42 0.69 16 41 H 0.04 0.61 7.23 -51.93 -0.38 0.23 16 42 H 0.36 7.80 5.66 -40.82 -0.23 7.57 16 43 H 0.26 7.60 8.31 -40.82 -0.34 7.26 16 44 H 0.07 0.95 8.04 -51.93 -0.42 0.53 16 45 H 0.08 1.12 7.99 -51.93 -0.42 0.70 16 46 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 47 H 0.09 0.67 4.31 -51.93 -0.22 0.44 16 48 H 0.10 0.75 8.14 -51.93 -0.42 0.33 16 49 H 0.05 0.57 7.38 -51.93 -0.38 0.18 16 50 H 0.08 1.03 5.79 -51.93 -0.30 0.73 16 51 H 0.09 0.86 8.14 -51.93 -0.42 0.44 16 52 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.09 1.02 7.85 -51.93 -0.41 0.61 16 LS Contribution 395.34 15.07 5.96 5.96 Total: -1.00 -32.97 395.34 -7.58 -40.54 By element: Atomic # 1 Polarization: 16.26 SS G_CDS: -9.06 Total: 7.20 kcal Atomic # 6 Polarization: -0.41 SS G_CDS: 0.93 Total: 0.52 kcal Atomic # 7 Polarization: -52.65 SS G_CDS: -0.04 Total: -52.69 kcal Atomic # 8 Polarization: -17.47 SS G_CDS: -0.65 Total: -18.12 kcal Atomic # 14 Polarization: 21.30 SS G_CDS: -4.71 Total: 16.59 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -32.97 -7.58 -40.54 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. ZINC001484339327.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 -60.761 kcal (2) G-P(sol) polarization free energy of solvation -32.966 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -93.727 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.578 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.545 kcal (6) G-S(sol) free energy of system = (1) + (5) -101.306 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds