Wall clock time and date at job start Sat Apr 11 2020 06:11:25 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 1.52991 * 1 3 3 C 1.53000 * 109.47318 * 2 1 4 4 H 1.09010 * 109.46928 * 305.69054 * 3 2 1 5 5 C 1.50704 * 109.47419 * 185.69420 * 3 2 1 6 6 H 1.07998 * 119.99998 * 275.00160 * 5 3 2 7 7 C 1.37874 * 120.00139 * 95.00289 * 5 3 2 8 8 N 1.31511 * 120.00282 * 184.83070 * 7 5 3 9 9 Si 1.86807 * 119.99980 * 4.82921 * 7 5 3 10 10 H 1.48494 * 109.46914 * 84.86108 * 9 7 5 11 11 H 1.48503 * 109.47090 * 204.86541 * 9 7 5 12 12 H 1.48503 * 109.47113 * 324.86230 * 9 7 5 13 13 N 1.46497 * 109.47343 * 65.69152 * 3 2 1 14 14 C 1.34782 * 119.99844 * 275.00265 * 13 3 2 15 15 O 1.21277 * 120.00179 * 359.97438 * 14 13 3 16 16 C 1.50696 * 119.99814 * 179.97438 * 14 13 3 17 17 C 1.52999 * 109.47165 * 180.02562 * 16 14 13 18 18 H 1.09004 * 109.47194 * 304.99780 * 17 16 14 19 19 N 1.46498 * 109.47109 * 65.00189 * 17 16 14 20 20 C 1.34779 * 120.00030 * 205.00207 * 19 17 16 21 21 O 1.21513 * 119.99969 * 0.02562 * 20 19 17 22 22 O 1.34635 * 120.00442 * 179.97438 * 20 19 17 23 23 C 1.45198 * 117.00404 * 179.97438 * 22 20 19 24 24 C 1.53002 * 109.47019 * 60.00085 * 23 22 20 25 25 C 1.53002 * 109.47146 * 180.02562 * 23 22 20 26 26 C 1.53002 * 109.47121 * 300.00559 * 23 22 20 27 27 C 1.53002 * 109.47208 * 185.00110 * 17 16 14 28 28 C 1.53004 * 117.49806 * 248.74423 * 27 17 16 29 29 C 1.52997 * 117.49799 * 180.08598 * 27 17 16 30 30 H 1.09000 * 109.46969 * 180.02562 * 1 2 3 31 31 H 1.09003 * 109.47484 * 300.00122 * 1 2 3 32 32 H 1.08996 * 109.47294 * 60.00134 * 1 2 3 33 33 H 1.09003 * 109.47484 * 239.99877 * 2 1 3 34 34 H 1.09004 * 109.47607 * 119.99855 * 2 1 3 35 35 H 0.96999 * 120.00066 * 179.97438 * 8 7 5 36 36 H 0.96996 * 120.00151 * 94.99943 * 13 3 2 37 37 H 1.09008 * 109.47449 * 300.00080 * 16 14 13 38 38 H 1.09004 * 109.47380 * 60.00369 * 16 14 13 39 39 H 0.96994 * 120.00304 * 24.99664 * 19 17 16 40 40 H 1.09003 * 109.46577 * 60.00288 * 24 23 22 41 41 H 1.09001 * 109.47166 * 179.97438 * 24 23 22 42 42 H 1.08994 * 109.47315 * 300.00639 * 24 23 22 43 43 H 1.08998 * 109.47388 * 59.99706 * 25 23 22 44 44 H 1.09001 * 109.47007 * 180.02562 * 25 23 22 45 45 H 1.09001 * 109.46813 * 300.00034 * 25 23 22 46 46 H 1.08997 * 109.47356 * 59.99339 * 26 23 22 47 47 H 1.09002 * 109.47118 * 180.02562 * 26 23 22 48 48 H 1.09004 * 109.47078 * 299.99931 * 26 23 22 49 49 H 1.09001 * 115.55094 * 34.41756 * 27 17 16 50 50 H 1.08999 * 117.49728 * 0.02562 * 28 27 17 51 51 H 1.08998 * 117.49781 * 145.01999 * 28 27 17 52 52 H 1.09002 * 117.49804 * 214.97965 * 29 27 17 53 53 H 1.09001 * 117.50147 * 359.97438 * 29 27 17 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.5958 1.9849 -0.8347 5 6 3.5404 1.4448 -0.1410 6 1 4.1650 1.3334 0.7329 7 6 4.1157 1.5893 -1.3856 8 7 5.4204 1.4964 -1.5218 9 14 3.0418 1.9171 -2.8786 10 1 2.7753 3.3739 -2.9864 11 1 3.7401 1.4495 -4.1029 12 1 1.7561 1.1881 -2.7332 13 7 1.6667 2.0925 1.2587 14 6 0.4508 2.6589 1.3900 15 8 -0.3342 2.6309 0.4659 16 6 0.0667 3.3270 2.6850 17 6 -1.3540 3.8833 2.5700 18 1 -1.4167 4.5437 1.7050 19 7 -2.3003 2.7766 2.4093 20 6 -3.4852 2.9860 1.8022 21 8 -3.7684 4.0926 1.3877 22 8 -4.3548 1.9688 1.6540 23 6 -5.6118 2.2673 0.9913 24 6 -5.3334 2.7795 -0.4233 25 6 -6.4628 0.9980 0.9164 26 6 -6.3638 3.3391 1.7829 27 6 -1.6982 4.6688 3.8371 28 6 -2.7583 4.0776 4.7686 29 6 -3.0864 5.3068 3.9175 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3634 0.5139 0.8900 32 1 -0.3634 0.5138 -0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 5.8251 1.5977 -2.3975 36 1 2.2946 2.1151 1.9977 37 1 0.1069 2.5991 3.4954 38 1 0.7604 4.1415 2.8934 39 1 -2.0741 1.8932 2.7398 40 1 -4.7976 2.0159 -0.9873 41 1 -6.2770 3.0031 -0.9210 42 1 -4.7272 3.6837 -0.3696 43 1 -6.6611 0.6335 1.9243 44 1 -7.4062 1.2220 0.4185 45 1 -5.9272 0.2342 0.3526 46 1 -5.7576 4.2434 1.8367 47 1 -7.3076 3.5629 1.2856 48 1 -6.5621 2.9743 2.7907 49 1 -0.8692 5.2078 4.2959 50 1 -3.2101 3.1289 4.4789 51 1 -2.6269 4.2279 5.8402 52 1 -3.1709 6.2654 4.4295 53 1 -3.7544 5.1674 3.0675 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 ZINC000762717972.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 06:11:25 Heat of formation + Delta-G solvation = -104.486464 kcal Electronic energy + Delta-G solvation = -32192.059182 eV Core-core repulsion = 28064.566050 eV Total energy + Delta-G solvation = -4127.493132 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.64 seconds Orbital eigenvalues (eV) -40.92942 -39.47975 -38.28627 -36.37396 -35.27683 -34.39445 -33.62352 -32.39324 -31.75989 -30.41617 -27.59228 -27.53525 -27.43812 -24.92617 -22.78638 -22.71067 -22.35411 -20.53656 -19.99756 -19.94722 -19.52011 -18.13506 -17.35731 -16.70880 -16.64305 -15.90003 -15.68228 -15.57436 -15.22830 -14.61724 -14.57236 -14.32167 -14.11005 -13.68220 -13.54517 -13.19472 -12.82337 -12.70717 -12.63091 -12.30389 -12.21586 -12.07589 -11.97275 -11.93836 -11.89222 -11.76428 -11.61387 -11.56144 -11.33529 -11.31673 -10.95935 -10.70509 -10.67079 -10.42545 -10.35217 -10.08308 -10.01307 -9.86838 -9.85794 -9.23511 -9.13309 -8.93536 -8.71260 -7.99757 -6.25419 -4.29037 2.23150 2.98899 3.24242 3.29736 3.33541 3.41162 3.71232 3.93154 4.18756 4.31234 4.61800 4.63778 4.66164 4.78890 4.81012 4.93207 5.05175 5.13761 5.25768 5.32484 5.36360 5.41219 5.45125 5.54413 5.56968 5.61775 5.67109 5.68593 5.78361 5.85107 5.89126 5.95748 6.03544 6.06200 6.07339 6.14576 6.23971 6.25062 6.31570 6.49379 6.61999 6.64413 6.77246 6.96902 6.98920 7.27186 7.35647 7.53585 7.57211 8.12600 8.52157 8.56724 8.75541 8.99774 9.37226 10.86292 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013216 B = 0.003384 C = 0.002959 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2118.172701 B = 8273.405339 C = 9461.877449 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C -0.124 4.124 3 C 0.238 3.762 4 H 0.050 0.950 5 C -0.531 4.531 6 H 0.078 0.922 7 C 0.082 3.918 8 N -0.889 5.889 9 Si 0.873 3.127 10 H -0.273 1.273 11 H -0.286 1.286 12 H -0.260 1.260 13 N -0.704 5.704 14 C 0.495 3.505 15 O -0.543 6.543 16 C -0.152 4.152 17 C 0.212 3.788 18 H 0.104 0.896 19 N -0.689 5.689 20 C 0.660 3.340 21 O -0.567 6.567 22 O -0.367 6.367 23 C 0.138 3.862 24 C -0.184 4.184 25 C -0.141 4.141 26 C -0.182 4.182 27 C -0.171 4.171 28 C -0.177 4.177 29 C -0.184 4.184 30 H 0.028 0.972 31 H 0.049 0.951 32 H 0.048 0.952 33 H 0.059 0.941 34 H 0.050 0.950 35 H 0.268 0.732 36 H 0.392 0.608 37 H 0.095 0.905 38 H 0.108 0.892 39 H 0.402 0.598 40 H 0.060 0.940 41 H 0.066 0.934 42 H 0.090 0.910 43 H 0.064 0.936 44 H 0.078 0.922 45 H 0.067 0.933 46 H 0.088 0.912 47 H 0.067 0.933 48 H 0.057 0.943 49 H 0.113 0.887 50 H 0.092 0.908 51 H 0.089 0.911 52 H 0.086 0.914 53 H 0.119 0.881 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -20.128 2.548 11.705 23.424 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 -0.199 4.199 2 C -0.164 4.164 3 C 0.135 3.865 4 H 0.068 0.932 5 C -0.569 4.569 6 H 0.096 0.904 7 C -0.123 4.123 8 N -0.525 5.525 9 Si 0.700 3.300 10 H -0.199 1.199 11 H -0.212 1.212 12 H -0.184 1.184 13 N -0.353 5.353 14 C 0.279 3.721 15 O -0.421 6.421 16 C -0.193 4.193 17 C 0.108 3.892 18 H 0.122 0.878 19 N -0.346 5.346 20 C 0.414 3.586 21 O -0.457 6.457 22 O -0.281 6.281 23 C 0.101 3.899 24 C -0.241 4.241 25 C -0.198 4.198 26 C -0.239 4.239 27 C -0.190 4.190 28 C -0.215 4.215 29 C -0.220 4.220 30 H 0.047 0.953 31 H 0.068 0.932 32 H 0.068 0.932 33 H 0.077 0.923 34 H 0.069 0.931 35 H 0.078 0.922 36 H 0.225 0.775 37 H 0.113 0.887 38 H 0.126 0.874 39 H 0.236 0.764 40 H 0.079 0.921 41 H 0.085 0.915 42 H 0.109 0.891 43 H 0.083 0.917 44 H 0.097 0.903 45 H 0.086 0.914 46 H 0.107 0.893 47 H 0.086 0.914 48 H 0.076 0.924 49 H 0.131 0.869 50 H 0.110 0.890 51 H 0.107 0.893 52 H 0.105 0.895 53 H 0.137 0.863 Dipole moment (debyes) X Y Z Total from point charges -20.716 3.041 10.634 23.483 hybrid contribution 0.148 -0.226 -0.304 0.407 sum -20.568 2.814 10.330 23.188 Atomic orbital electron populations 1.21871 0.97349 0.98677 1.01961 1.22067 0.93651 0.99533 1.01105 1.19134 0.95382 0.89019 0.82940 0.93213 1.21018 0.88770 1.51714 0.95400 0.90405 1.24936 0.94850 0.93683 0.98811 1.69880 1.09778 1.48370 1.24505 0.86908 0.81232 0.79638 0.82233 1.19888 1.21249 1.18414 1.46603 1.14468 1.56035 1.18156 1.20387 0.82889 0.79617 0.89176 1.90711 1.50624 1.59544 1.41234 1.22042 0.96692 1.02547 0.97994 1.20110 0.85234 0.86771 0.97068 0.87849 1.44550 1.15050 1.13840 1.61191 1.17909 0.80987 0.82540 0.77185 1.90807 1.77408 1.24028 1.53454 1.86292 1.28565 1.39068 1.74216 1.21994 0.79820 0.95962 0.92108 1.22510 1.03021 1.03891 0.94656 1.21855 0.98799 0.96124 1.03015 1.22514 1.01010 1.00524 0.99840 1.22820 0.93820 1.03843 0.98536 1.22916 1.03505 0.98376 0.96657 1.23358 0.98823 0.96362 1.03477 0.95277 0.93197 0.93244 0.92257 0.93110 0.92240 0.77480 0.88672 0.87353 0.76358 0.92060 0.91519 0.89137 0.91653 0.90341 0.91429 0.89290 0.91403 0.92398 0.86913 0.88969 0.89293 0.89503 0.86337 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -2.74 8.53 37.15 0.32 -2.42 16 2 C -0.12 -2.62 5.59 -26.74 -0.15 -2.77 16 3 C 0.24 5.41 1.89 -69.08 -0.13 5.28 16 4 H 0.05 1.26 4.73 -51.92 -0.25 1.02 16 5 C -0.53 -13.92 9.05 -34.44 -0.31 -14.23 16 6 H 0.08 2.15 8.06 -52.49 -0.42 1.73 16 7 C 0.08 2.26 5.47 -17.82 -0.10 2.16 16 8 N -0.89 -25.95 13.96 55.43 0.77 -25.18 16 9 Si 0.87 21.55 26.99 -169.99 -4.59 16.97 16 10 H -0.27 -6.80 7.11 56.52 0.40 -6.40 16 11 H -0.29 -6.96 7.11 56.52 0.40 -6.55 16 12 H -0.26 -6.34 6.82 56.52 0.39 -5.96 16 13 N -0.70 -12.98 5.03 -54.93 -0.28 -13.26 16 14 C 0.49 8.38 6.29 -10.98 -0.07 8.31 16 15 O -0.54 -11.13 12.50 5.56 0.07 -11.06 16 16 C -0.15 -1.76 5.22 -27.89 -0.15 -1.91 16 17 C 0.21 2.63 1.99 -67.93 -0.14 2.49 16 18 H 0.10 1.61 7.39 -51.93 -0.38 1.23 16 19 N -0.69 -8.85 2.76 -58.73 -0.16 -9.01 16 20 C 0.66 9.55 6.89 54.06 0.37 9.93 16 21 O -0.57 -9.03 8.91 -19.28 -0.17 -9.20 16 22 O -0.37 -5.00 9.94 -40.31 -0.40 -5.40 16 23 C 0.14 1.57 1.13 -90.62 -0.10 1.47 16 24 C -0.18 -2.24 8.37 37.16 0.31 -1.93 16 25 C -0.14 -1.23 8.85 37.16 0.33 -0.90 16 26 C -0.18 -1.86 8.37 37.16 0.31 -1.55 16 27 C -0.17 -1.75 5.71 -90.62 -0.52 -2.27 16 28 C -0.18 -1.73 9.74 -26.69 -0.26 -1.99 16 29 C -0.18 -2.02 9.82 -26.70 -0.26 -2.28 16 30 H 0.03 0.49 8.14 -51.93 -0.42 0.07 16 31 H 0.05 0.93 5.63 -51.93 -0.29 0.63 16 32 H 0.05 1.05 7.89 -51.93 -0.41 0.64 16 33 H 0.06 1.32 8.14 -51.93 -0.42 0.89 16 34 H 0.05 1.01 8.14 -51.93 -0.42 0.59 16 35 H 0.27 7.37 8.31 -40.82 -0.34 7.03 16 36 H 0.39 6.33 8.59 -40.82 -0.35 5.98 16 37 H 0.09 0.87 8.14 -51.92 -0.42 0.45 16 38 H 0.11 1.06 8.14 -51.93 -0.42 0.64 16 39 H 0.40 4.70 8.71 -40.82 -0.36 4.34 16 40 H 0.06 0.79 8.14 -51.93 -0.42 0.37 16 41 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 42 H 0.09 1.34 5.88 -51.93 -0.31 1.03 16 43 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 44 H 0.08 0.53 8.14 -51.93 -0.42 0.11 16 45 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 46 H 0.09 1.09 5.88 -51.93 -0.31 0.79 16 47 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 48 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 49 H 0.11 0.98 8.11 -51.93 -0.42 0.56 16 50 H 0.09 0.96 6.67 -51.93 -0.35 0.61 16 51 H 0.09 0.75 8.14 -51.93 -0.42 0.32 16 52 H 0.09 0.85 8.14 -51.93 -0.42 0.42 16 53 H 0.12 1.57 5.01 -51.93 -0.26 1.31 16 LS Contribution 408.89 15.07 6.16 6.16 Total: -1.00 -31.61 408.89 -8.30 -39.91 By element: Atomic # 1 Polarization: 21.83 SS G_CDS: -9.17 Total: 12.66 kcal Atomic # 6 Polarization: -2.06 SS G_CDS: -0.54 Total: -2.60 kcal Atomic # 7 Polarization: -47.78 SS G_CDS: 0.34 Total: -47.44 kcal Atomic # 8 Polarization: -25.15 SS G_CDS: -0.50 Total: -25.66 kcal Atomic # 14 Polarization: 21.55 SS G_CDS: -4.59 Total: 16.97 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -31.61 -8.30 -39.91 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. ZINC000762717972.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 -64.575 kcal (2) G-P(sol) polarization free energy of solvation -31.609 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -96.184 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.303 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.912 kcal (6) G-S(sol) free energy of system = (1) + (5) -104.486 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds