Wall clock time and date at job start Sat Apr 11 2020 06:12:17 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 1.42897 * 1 3 3 C 1.42893 * 114.00223 * 2 1 4 4 H 1.08997 * 109.47086 * 30.00006 * 3 2 1 5 5 C 1.50702 * 109.47180 * 269.99934 * 3 2 1 6 6 O 1.21282 * 119.99945 * 170.73216 * 5 3 2 7 7 N 1.34771 * 120.00289 * 350.74359 * 5 3 2 8 8 C 1.46495 * 120.00592 * 184.44433 * 7 5 3 9 9 H 1.09005 * 110.88708 * 34.29509 * 8 7 5 10 10 C 1.54909 * 111.00319 * 270.41543 * 8 7 5 11 11 N 1.47470 * 104.80907 * 204.94609 * 10 8 7 12 12 C 1.36936 * 125.62868 * 204.04591 * 11 10 8 13 13 H 1.08003 * 120.00215 * 0.02562 * 12 11 10 14 14 C 1.38811 * 120.00056 * 179.97438 * 12 11 10 15 15 N 1.31621 * 120.00187 * 0.02562 * 14 12 11 16 16 Si 1.86807 * 120.00069 * 180.02562 * 14 12 11 17 17 H 1.48503 * 109.47118 * 359.97438 * 16 14 12 18 18 H 1.48492 * 109.47130 * 120.00061 * 16 14 12 19 19 H 1.48499 * 109.47048 * 240.00140 * 16 14 12 20 20 C 1.47023 * 108.72339 * 24.07392 * 11 10 8 21 21 C 1.54322 * 107.27101 * 358.97185 * 20 11 10 22 22 H 1.09000 * 110.71999 * 96.17097 * 21 20 11 23 23 O 1.42898 * 110.87189 * 219.37632 * 21 20 11 24 24 C 1.42901 * 113.99750 * 263.61094 * 23 21 20 25 25 C 1.53001 * 109.47842 * 150.00085 * 3 2 1 26 26 C 1.52998 * 109.46785 * 306.04620 * 25 3 2 27 27 C 1.53000 * 109.47293 * 179.97438 * 26 25 3 28 28 C 1.53000 * 109.47233 * 59.99347 * 27 26 25 29 29 C 1.53002 * 109.47196 * 300.00353 * 28 27 26 30 30 C 1.52990 * 109.47680 * 186.04439 * 25 3 2 31 31 H 1.09001 * 109.46960 * 180.02562 * 1 2 3 32 32 H 1.08997 * 109.47095 * 299.99920 * 1 2 3 33 33 H 1.08992 * 109.47428 * 60.00298 * 1 2 3 34 34 H 0.97009 * 119.99591 * 4.43991 * 7 5 3 35 35 H 1.08996 * 110.36697 * 323.75315 * 10 8 7 36 36 H 1.09001 * 110.36462 * 86.07809 * 10 8 7 37 37 H 0.96998 * 119.99998 * 179.97438 * 15 14 12 38 38 H 1.09003 * 109.87664 * 239.55474 * 20 11 10 39 39 H 1.08995 * 109.88588 * 118.39457 * 20 11 10 40 40 H 1.09002 * 109.47150 * 180.02562 * 24 23 21 41 41 H 1.09002 * 109.47436 * 299.99586 * 24 23 21 42 42 H 1.08997 * 109.47093 * 60.00407 * 24 23 21 43 43 H 1.09007 * 109.46836 * 66.03600 * 25 3 2 44 44 H 1.09004 * 109.47372 * 59.99157 * 26 25 3 45 45 H 1.09003 * 109.47191 * 299.99812 * 26 25 3 46 46 H 1.08996 * 109.47545 * 180.02562 * 27 26 25 47 47 H 1.09007 * 109.46704 * 299.99210 * 27 26 25 48 48 H 1.09003 * 109.46530 * 60.00480 * 28 27 26 49 49 H 1.09003 * 109.46768 * 180.02562 * 28 27 26 50 50 H 1.08999 * 109.46872 * 299.99934 * 29 28 27 51 51 H 1.08998 * 109.46972 * 179.97438 * 29 28 27 52 52 H 1.09011 * 109.46927 * 299.99780 * 30 25 3 53 53 H 1.08999 * 109.47441 * 59.99504 * 30 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 1 1.3450 1.9993 0.5138 5 6 2.2146 1.7643 -1.4208 6 8 2.5398 2.9106 -1.6470 7 7 2.0357 0.9010 -2.4402 8 6 2.3281 1.3184 -3.8136 9 1 3.1724 2.0075 -3.8389 10 6 1.0790 1.9461 -4.4810 11 7 1.2861 1.7499 -5.9279 12 6 0.7260 2.5051 -6.9235 13 1 0.0696 3.3258 -6.6745 14 6 1.0026 2.2163 -8.2528 15 7 1.8029 1.2164 -8.5563 16 14 0.2391 3.2469 -9.6109 17 1 -0.6163 4.3019 -9.0103 18 1 1.3144 3.8797 -10.4161 19 1 -0.5884 2.3780 -10.4859 20 6 2.1927 0.6093 -6.1245 21 6 2.5855 0.0897 -4.7255 22 1 1.9514 -0.7472 -4.4329 23 8 3.9637 -0.2861 -4.6904 24 6 4.1909 -1.6821 -4.8945 25 6 3.3589 1.2633 0.7212 26 6 3.1741 0.6557 2.1132 27 6 4.5229 0.6130 2.8342 28 6 5.0755 2.0336 2.9670 29 6 5.2603 2.6410 1.5749 30 6 3.9109 2.6840 0.8541 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5138 0.8900 33 1 -0.3634 0.5137 -0.8899 34 1 1.7133 0.0031 -2.2644 35 1 0.1754 1.4315 -4.1543 36 1 1.0173 3.0088 -4.2466 37 1 1.9959 1.0144 -9.4852 38 1 3.0834 0.9325 -6.6635 39 1 1.6841 -0.1767 -6.6826 40 1 5.2608 -1.8860 -4.8530 41 1 3.6826 -2.2506 -4.1157 42 1 3.8025 -1.9745 -5.8700 43 1 4.0582 0.6538 0.1487 44 1 2.7808 -0.3565 2.0186 45 1 2.4748 1.2651 2.6857 46 1 4.3913 0.1798 3.8257 47 1 5.2218 0.0032 2.2616 48 1 4.3765 2.6432 3.5396 49 1 6.0366 2.0030 3.4803 50 1 5.9592 2.0313 1.0024 51 1 5.6535 3.6532 1.6696 52 1 4.0426 3.1168 -0.1377 53 1 3.2116 3.2934 1.4265 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 ZINC001214005367.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 06:12:17 Heat of formation + Delta-G solvation = -116.227836 kcal Electronic energy + Delta-G solvation = -31836.733157 eV Core-core repulsion = 27708.730881 eV Total energy + Delta-G solvation = -4128.002276 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -40.45121 -38.78382 -37.84398 -37.39267 -35.87593 -33.94968 -32.16875 -31.67516 -30.84653 -28.86330 -27.82518 -26.98595 -26.10139 -25.78390 -24.12207 -22.72143 -22.05453 -20.60805 -20.47711 -19.96812 -19.83030 -17.76025 -17.10740 -16.64079 -16.33821 -16.14901 -15.39312 -15.01885 -14.79118 -14.57623 -14.45186 -14.28856 -14.27566 -14.18557 -14.02905 -13.78717 -13.23308 -12.97540 -12.64913 -12.47035 -12.34536 -12.22367 -12.00314 -11.86788 -11.69559 -11.52295 -11.26279 -11.20433 -11.07826 -11.00272 -10.83260 -10.81042 -10.72136 -10.58690 -10.42299 -10.18428 -10.11090 -9.97408 -9.78984 -9.28428 -9.03217 -8.72005 -8.54650 -6.88307 -5.72923 -3.07944 2.71420 3.26129 3.39915 3.42346 3.46251 3.48644 4.15937 4.49281 4.50226 4.53978 4.61297 4.80464 4.87596 5.06272 5.07895 5.14195 5.17524 5.20727 5.22583 5.36918 5.37824 5.41071 5.42861 5.49293 5.49478 5.55242 5.60514 5.66840 5.72663 5.74188 5.87091 5.90750 5.94231 5.94874 5.98445 5.99530 6.06097 6.15073 6.19298 6.30606 6.34499 6.56649 6.63445 6.71033 6.90415 7.27198 7.48808 7.71353 7.76008 7.88031 8.20545 8.41191 9.17967 9.78007 10.41351 11.38493 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.016415 B = 0.002763 C = 0.002694 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1705.324827 B =10133.119675 C =10392.325222 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.022 3.978 2 O -0.377 6.377 3 C 0.080 3.920 4 H 0.092 0.908 5 C 0.495 3.505 6 O -0.534 6.534 7 N -0.705 5.705 8 C 0.132 3.868 9 H 0.103 0.897 10 C 0.132 3.868 11 N -0.600 5.600 12 C -0.227 4.227 13 H 0.081 0.919 14 C -0.008 4.008 15 N -0.922 5.922 16 Si 0.914 3.086 17 H -0.279 1.279 18 H -0.290 1.290 19 H -0.291 1.291 20 C 0.165 3.835 21 C 0.057 3.943 22 H 0.062 0.938 23 O -0.378 6.378 24 C 0.035 3.965 25 C -0.072 4.072 26 C -0.107 4.107 27 C -0.119 4.119 28 C -0.121 4.121 29 C -0.117 4.117 30 C -0.121 4.121 31 H 0.091 0.909 32 H 0.045 0.955 33 H 0.047 0.953 34 H 0.401 0.599 35 H 0.021 0.979 36 H 0.050 0.950 37 H 0.252 0.748 38 H 0.062 0.938 39 H 0.048 0.952 40 H 0.079 0.921 41 H 0.033 0.967 42 H 0.044 0.956 43 H 0.080 0.920 44 H 0.072 0.928 45 H 0.059 0.941 46 H 0.060 0.940 47 H 0.062 0.938 48 H 0.060 0.940 49 H 0.058 0.942 50 H 0.062 0.938 51 H 0.062 0.938 52 H 0.087 0.913 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 2.543 -5.918 22.880 23.770 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 -0.074 4.074 2 O -0.295 6.295 3 C 0.019 3.981 4 H 0.109 0.891 5 C 0.280 3.720 6 O -0.411 6.411 7 N -0.357 5.357 8 C 0.026 3.974 9 H 0.121 0.879 10 C 0.004 3.996 11 N -0.328 5.328 12 C -0.355 4.355 13 H 0.099 0.901 14 C -0.204 4.204 15 N -0.569 5.569 16 Si 0.745 3.255 17 H -0.204 1.204 18 H -0.217 1.217 19 H -0.218 1.218 20 C 0.040 3.960 21 C -0.002 4.002 22 H 0.080 0.920 23 O -0.296 6.296 24 C -0.062 4.062 25 C -0.091 4.091 26 C -0.145 4.145 27 C -0.156 4.156 28 C -0.158 4.158 29 C -0.155 4.155 30 C -0.159 4.159 31 H 0.110 0.890 32 H 0.064 0.936 33 H 0.065 0.935 34 H 0.236 0.764 35 H 0.039 0.961 36 H 0.068 0.932 37 H 0.063 0.937 38 H 0.080 0.920 39 H 0.066 0.934 40 H 0.097 0.903 41 H 0.052 0.948 42 H 0.063 0.937 43 H 0.099 0.901 44 H 0.090 0.910 45 H 0.078 0.922 46 H 0.079 0.921 47 H 0.081 0.919 48 H 0.079 0.921 49 H 0.077 0.923 50 H 0.080 0.920 51 H 0.081 0.919 52 H 0.105 0.895 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 3.050 -5.130 22.504 23.282 hybrid contribution -0.995 -0.067 -0.836 1.301 sum 2.055 -5.197 21.668 22.377 Atomic orbital electron populations 1.22943 0.80504 1.03312 1.00648 1.87906 1.20113 1.26701 1.94773 1.22514 0.97211 0.85532 0.92844 0.89062 1.21081 0.77508 0.85817 0.87628 1.90710 1.47257 1.18155 1.84971 1.45949 1.66685 1.16516 1.06504 1.22403 0.99634 0.96503 0.78838 0.87875 1.21816 0.93463 0.98605 0.85680 1.44280 1.54673 1.34602 0.99267 1.19120 1.22328 1.09167 0.84924 0.90128 1.24823 0.99799 0.98649 0.97128 1.69952 1.39550 1.30389 1.17049 0.86007 0.78301 0.79259 0.81975 1.20447 1.21663 1.21762 1.21552 0.95097 0.90251 0.89111 1.23829 0.82246 0.95470 0.98692 0.92013 1.87903 1.24871 1.23768 1.93024 1.22706 1.01379 0.82472 0.99670 1.21084 0.93549 0.98302 0.96137 1.21483 0.97230 1.01452 0.94338 1.21528 0.96995 0.96957 1.00140 1.21570 1.00644 0.96377 0.97236 1.21520 0.97338 1.00845 0.95784 1.21708 0.96554 0.94997 1.02614 0.89029 0.93621 0.93459 0.76363 0.96145 0.93172 0.93717 0.91960 0.93372 0.90262 0.94792 0.93687 0.90128 0.90952 0.92224 0.92115 0.91938 0.92129 0.92296 0.91966 0.91880 0.89495 0.91961 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 0.02 0.18 10.75 101.05 1.09 1.27 16 2 O -0.38 -3.87 8.20 -35.23 -0.29 -4.16 16 3 C 0.08 0.91 2.20 -27.88 -0.06 0.85 16 4 H 0.09 0.96 7.79 -51.93 -0.40 0.56 16 5 C 0.49 7.56 6.99 -10.99 -0.08 7.48 16 6 O -0.53 -10.00 14.59 5.56 0.08 -9.92 16 7 N -0.71 -10.90 5.16 -51.73 -0.27 -11.16 16 8 C 0.13 2.53 3.06 -65.78 -0.20 2.33 16 9 H 0.10 2.26 7.70 -51.93 -0.40 1.86 16 10 C 0.13 2.87 6.93 -2.50 -0.02 2.85 16 11 N -0.60 -15.63 3.40 -170.04 -0.58 -16.21 16 12 C -0.23 -6.42 10.28 -15.06 -0.15 -6.58 16 13 H 0.08 2.21 7.83 -52.48 -0.41 1.80 16 14 C -0.01 -0.22 5.49 -17.43 -0.10 -0.32 16 15 N -0.92 -27.14 10.31 55.49 0.57 -26.57 16 16 Si 0.91 22.30 29.55 -169.99 -5.02 17.28 16 17 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 18 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 19 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 20 C 0.17 4.07 5.15 -3.06 -0.02 4.05 16 21 C 0.06 1.10 3.08 -24.90 -0.08 1.02 16 22 H 0.06 1.07 7.68 -51.93 -0.40 0.67 16 23 O -0.38 -7.11 10.44 -35.23 -0.37 -7.48 16 24 C 0.03 0.50 10.85 101.05 1.10 1.60 16 25 C -0.07 -0.76 1.95 -90.62 -0.18 -0.94 16 26 C -0.11 -0.92 4.99 -26.73 -0.13 -1.06 16 27 C -0.12 -0.93 5.92 -26.73 -0.16 -1.09 16 28 C -0.12 -0.95 5.92 -26.73 -0.16 -1.11 16 29 C -0.12 -1.10 5.93 -26.70 -0.16 -1.26 16 30 C -0.12 -1.34 4.87 -26.71 -0.13 -1.47 16 31 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 32 H 0.05 0.31 8.08 -51.93 -0.42 -0.11 16 33 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 34 H 0.40 5.39 7.31 -40.82 -0.30 5.09 16 35 H 0.02 0.43 8.14 -51.93 -0.42 0.01 16 36 H 0.05 1.14 8.14 -51.93 -0.42 0.71 16 37 H 0.25 7.20 8.31 -40.82 -0.34 6.86 16 38 H 0.06 1.74 7.30 -51.93 -0.38 1.36 16 39 H 0.05 1.28 7.50 -51.93 -0.39 0.89 16 40 H 0.08 0.98 8.14 -51.93 -0.42 0.56 16 41 H 0.03 0.42 8.11 -51.93 -0.42 0.00 16 42 H 0.04 0.67 8.14 -51.93 -0.42 0.24 16 43 H 0.08 0.95 8.14 -51.92 -0.42 0.53 16 44 H 0.07 0.63 7.54 -51.93 -0.39 0.24 16 45 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 46 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 47 H 0.06 0.51 8.14 -51.92 -0.42 0.09 16 48 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 49 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 50 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 51 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 52 H 0.09 1.21 6.02 -51.92 -0.31 0.90 16 53 H 0.06 0.65 8.14 -51.93 -0.42 0.23 16 LS Contribution 410.63 15.07 6.19 6.19 Total: -1.00 -32.13 410.63 -8.82 -40.95 By element: Atomic # 1 Polarization: 13.14 SS G_CDS: -9.70 Total: 3.44 kcal Atomic # 6 Polarization: 7.07 SS G_CDS: 0.57 Total: 7.64 kcal Atomic # 7 Polarization: -53.67 SS G_CDS: -0.27 Total: -53.94 kcal Atomic # 8 Polarization: -20.98 SS G_CDS: -0.58 Total: -21.55 kcal Atomic # 14 Polarization: 22.30 SS G_CDS: -5.02 Total: 17.28 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -32.13 -8.82 -40.95 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. ZINC001214005367.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 -75.282 kcal (2) G-P(sol) polarization free energy of solvation -32.128 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.409 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.818 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.946 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.228 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds