Wall clock time and date at job start Tue Mar 31 2020 23:41:18 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 1.42895 * 1 3 3 C 1.42903 * 114.00216 * 2 1 4 4 C 1.52996 * 109.47503 * 180.02562 * 3 2 1 5 5 C 1.50703 * 109.54638 * 300.00812 * 4 3 2 6 6 O 1.21277 * 119.99993 * 239.99813 * 5 4 3 7 7 N 1.34775 * 119.99855 * 59.99551 * 5 4 3 8 8 C 1.46505 * 119.99631 * 180.02562 * 7 5 4 9 9 H 1.09002 * 109.44865 * 34.96804 * 8 7 5 10 10 C 1.53042 * 109.45961 * 274.99546 * 8 7 5 11 11 C 1.53191 * 109.31086 * 178.61381 * 10 8 7 12 12 N 1.46922 * 108.77453 * 54.63972 * 11 10 8 13 13 C 1.36943 * 120.63171 * 126.36483 * 12 11 10 14 14 H 1.07997 * 120.00159 * 209.02328 * 13 12 11 15 15 C 1.38811 * 119.99723 * 29.02825 * 13 12 11 16 16 N 1.31622 * 119.99967 * 15.02106 * 15 13 12 17 17 Si 1.86800 * 120.00071 * 195.01449 * 15 13 12 18 18 H 1.48508 * 109.46781 * 90.00150 * 17 15 13 19 19 H 1.48500 * 109.47543 * 209.99997 * 17 15 13 20 20 H 1.48500 * 109.47074 * 330.00617 * 17 15 13 21 21 C 1.46924 * 118.74178 * 306.38930 * 12 11 10 22 22 H 1.09005 * 109.58295 * 293.68328 * 21 12 11 23 23 C 1.52995 * 109.59278 * 173.39666 * 21 12 11 24 24 C 1.53046 * 109.45819 * 154.93065 * 8 7 5 25 25 C 1.53186 * 109.54051 * 60.18186 * 4 3 2 26 26 C 1.53276 * 109.06375 * 176.85504 * 25 4 3 27 27 O 1.42904 * 109.45768 * 302.44392 * 26 25 4 28 28 C 1.42899 * 114.10140 * 61.16287 * 27 26 25 29 29 C 1.53093 * 109.41290 * 298.83917 * 28 27 26 30 30 H 1.09005 * 109.46742 * 299.99099 * 1 2 3 31 31 H 1.08998 * 109.47462 * 59.99075 * 1 2 3 32 32 H 1.08996 * 109.47115 * 180.02562 * 1 2 3 33 33 H 1.09005 * 109.46226 * 60.00732 * 3 2 1 34 34 H 1.08996 * 109.47309 * 300.00969 * 3 2 1 35 35 H 0.96995 * 120.00661 * 359.97438 * 7 5 4 36 36 H 1.09000 * 109.49153 * 58.66606 * 10 8 7 37 37 H 1.08993 * 109.50182 * 298.57051 * 10 8 7 38 38 H 1.08998 * 109.58319 * 174.42465 * 11 10 8 39 39 H 1.08999 * 109.59202 * 294.84909 * 11 10 8 40 40 H 0.96998 * 119.99685 * 179.97438 * 16 15 13 41 41 H 1.09002 * 109.46907 * 59.99514 * 23 21 12 42 42 H 1.08996 * 109.47477 * 179.97438 * 23 21 12 43 43 H 1.09003 * 109.47124 * 300.00359 * 23 21 12 44 44 H 1.08996 * 109.49450 * 61.43213 * 24 8 7 45 45 H 1.08996 * 109.49922 * 301.33485 * 24 8 7 46 46 H 1.09000 * 109.51803 * 296.84292 * 25 4 3 47 47 H 1.09000 * 109.52149 * 57.02845 * 25 4 3 48 48 H 1.09000 * 109.45786 * 182.45246 * 26 25 4 49 49 H 1.09001 * 109.47235 * 62.44830 * 26 25 4 50 50 H 1.09002 * 109.48595 * 178.85697 * 28 27 26 51 51 H 1.09001 * 109.47997 * 58.81906 * 28 27 26 52 52 H 1.09001 * 109.52566 * 297.70532 * 29 28 27 53 53 H 1.09002 * 109.52619 * 177.50983 * 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 1.4289 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5354 1.1847 -0.0006 5 6 3.9825 0.4366 1.2288 6 8 4.7250 0.9693 2.0262 7 7 3.5571 -0.8243 1.4423 8 6 3.9913 -1.5513 2.6378 9 1 4.0841 -0.8557 3.4719 10 6 5.3465 -2.2099 2.3699 11 6 5.8135 -2.9401 3.6331 12 7 4.7614 -3.8747 4.0552 13 6 5.0451 -5.1987 4.2596 14 1 4.2796 -5.9449 4.1064 15 6 6.3167 -5.5816 4.6637 16 7 7.1564 -4.6833 5.1333 17 14 6.8362 -7.3718 4.5413 18 1 7.4542 -7.6181 3.2136 19 1 7.8215 -7.6755 5.6099 20 1 5.6458 -8.2447 4.7028 21 6 3.3989 -3.3619 4.2535 22 1 3.3868 -2.6740 5.0990 23 6 2.4467 -4.5278 4.5273 24 6 2.9589 -2.6269 2.9834 25 6 3.9890 0.4289 -1.2535 26 6 5.5208 0.3828 -1.2832 27 8 6.0378 1.7147 -1.2543 28 6 5.6836 2.4528 -0.0831 29 6 4.1603 2.5833 -0.0051 30 1 -0.3633 0.5137 0.8901 31 1 -0.3634 0.5140 -0.8899 32 1 -0.3633 -1.0276 0.0005 33 1 1.6886 1.8462 0.8901 34 1 1.6885 1.8465 -0.8898 35 1 2.9630 -1.2502 0.8048 36 1 6.0756 -1.4455 2.1010 37 1 5.2488 -2.9238 1.5521 38 1 6.7284 -3.4924 3.4186 39 1 5.9989 -2.2160 4.4264 40 1 8.0448 -4.9510 5.4161 41 1 2.7688 -5.0570 5.4241 42 1 1.4368 -4.1452 4.6745 43 1 2.4565 -5.2118 3.6786 44 1 2.8837 -3.3369 2.1598 45 1 1.9887 -2.1595 3.1512 46 1 3.5923 -0.5861 -1.2301 47 1 3.6231 0.9436 -2.1419 48 1 5.8514 -0.1157 -2.1944 49 1 5.8847 -0.1673 -0.4154 50 1 6.1315 3.4455 -0.1296 51 1 6.0494 1.9299 0.8006 52 1 3.7977 3.1414 -0.8683 53 1 3.8859 3.1076 0.9103 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 ZINC001484980171.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 23:41:18 Heat of formation + Delta-G solvation = -114.087118 kcal Electronic energy + Delta-G solvation = -32769.554277 eV Core-core repulsion = 28641.644830 eV Total energy + Delta-G solvation = -4127.909447 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.27 seconds Orbital eigenvalues (eV) -41.00343 -38.55204 -38.01011 -37.35466 -34.53029 -34.30080 -32.37934 -31.41437 -30.94141 -29.41267 -28.40590 -26.39518 -26.25940 -24.93974 -23.74189 -23.48032 -22.34989 -21.70533 -20.34285 -19.70959 -18.82299 -17.03771 -16.69154 -16.59986 -16.27512 -16.01001 -15.81213 -15.48695 -15.17986 -14.93661 -14.62811 -14.33635 -13.93833 -13.91738 -13.66026 -13.49326 -13.20267 -12.82192 -12.76896 -12.61290 -12.41424 -12.26093 -12.12860 -11.67739 -11.56819 -11.40366 -11.18799 -11.05813 -10.88337 -10.87736 -10.78815 -10.63457 -10.56993 -10.25767 -10.07955 -10.04149 -10.00097 -9.75182 -9.67329 -9.49092 -9.12970 -8.58557 -8.36416 -6.61198 -5.73799 -3.17873 2.77771 3.28953 3.39445 3.46282 3.46468 3.47565 3.85417 4.36336 4.46552 4.51546 4.60821 4.86084 4.89706 5.00347 5.02188 5.10919 5.12836 5.21039 5.32080 5.39426 5.44200 5.45423 5.45625 5.49748 5.54193 5.62621 5.65895 5.71258 5.84031 5.87552 5.91078 6.02289 6.07614 6.19480 6.33055 6.34926 6.45672 6.52881 6.57605 6.70451 6.74769 6.83230 6.98243 7.07763 7.12933 7.15842 7.43192 7.73323 7.85194 7.89014 8.49877 8.53174 9.25810 9.89491 10.46521 11.34686 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014368 B = 0.003403 C = 0.002998 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1948.329846 B = 8226.151920 C = 9338.463761 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.389 6.389 3 C 0.076 3.924 4 C -0.080 4.080 5 C 0.522 3.478 6 O -0.543 6.543 7 N -0.708 5.708 8 C 0.150 3.850 9 H 0.078 0.922 10 C -0.145 4.145 11 C 0.175 3.825 12 N -0.587 5.587 13 C -0.250 4.250 14 H 0.070 0.930 15 C 0.002 3.998 16 N -0.903 5.903 17 Si 0.900 3.100 18 H -0.288 1.288 19 H -0.292 1.292 20 H -0.280 1.280 21 C 0.171 3.829 22 H 0.026 0.974 23 C -0.135 4.135 24 C -0.131 4.131 25 C -0.137 4.137 26 C 0.057 3.943 27 O -0.385 6.385 28 C 0.050 3.950 29 C -0.126 4.126 30 H 0.042 0.958 31 H 0.041 0.959 32 H 0.089 0.911 33 H 0.056 0.944 34 H 0.061 0.939 35 H 0.403 0.597 36 H 0.050 0.950 37 H 0.054 0.946 38 H 0.090 0.910 39 H 0.019 0.981 40 H 0.253 0.747 41 H 0.062 0.938 42 H 0.037 0.963 43 H 0.053 0.947 44 H 0.062 0.938 45 H 0.053 0.947 46 H 0.085 0.915 47 H 0.079 0.921 48 H 0.096 0.904 49 H 0.054 0.946 50 H 0.092 0.908 51 H 0.081 0.919 52 H 0.075 0.925 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.534 13.014 -13.577 22.601 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 -0.062 4.062 2 O -0.308 6.308 3 C -0.001 4.001 4 C -0.083 4.083 5 C 0.306 3.694 6 O -0.421 6.421 7 N -0.359 5.359 8 C 0.046 3.954 9 H 0.096 0.904 10 C -0.185 4.185 11 C 0.049 3.951 12 N -0.311 5.311 13 C -0.380 4.380 14 H 0.088 0.912 15 C -0.196 4.196 16 N -0.547 5.547 17 Si 0.731 3.269 18 H -0.215 1.215 19 H -0.218 1.218 20 H -0.205 1.205 21 C 0.064 3.936 22 H 0.043 0.957 23 C -0.192 4.192 24 C -0.171 4.171 25 C -0.175 4.175 26 C -0.020 4.020 27 O -0.303 6.303 28 C -0.026 4.026 29 C -0.164 4.164 30 H 0.060 0.940 31 H 0.060 0.940 32 H 0.107 0.893 33 H 0.074 0.926 34 H 0.079 0.921 35 H 0.239 0.761 36 H 0.069 0.931 37 H 0.072 0.928 38 H 0.108 0.892 39 H 0.037 0.963 40 H 0.063 0.937 41 H 0.081 0.919 42 H 0.056 0.944 43 H 0.072 0.928 44 H 0.081 0.919 45 H 0.072 0.928 46 H 0.104 0.896 47 H 0.098 0.902 48 H 0.114 0.886 49 H 0.073 0.927 50 H 0.110 0.890 51 H 0.099 0.901 52 H 0.094 0.906 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -11.628 13.235 -13.057 21.929 hybrid contribution -0.451 -0.932 -0.150 1.046 sum -12.079 12.303 -13.206 21.718 Atomic orbital electron populations 1.22745 0.80348 1.03137 0.99960 1.87736 1.20209 1.27457 1.95400 1.22484 0.91325 0.85235 1.01038 1.20994 0.94652 0.97355 0.95317 1.20127 0.80557 0.82129 0.86542 1.90651 1.36376 1.68149 1.46953 1.46382 1.49551 1.14020 1.25975 1.21023 0.94944 0.92776 0.86614 0.90401 1.22556 0.95349 0.98844 1.01788 1.20748 0.93038 0.91132 0.90195 1.44159 1.03110 1.05984 1.77814 1.19189 0.96719 0.82951 1.39117 0.91228 1.25088 0.98602 0.97235 0.98695 1.70019 1.07435 1.32540 1.44742 0.86321 0.78233 0.85099 0.77276 1.21541 1.21831 1.20496 1.20361 0.86958 0.93681 0.92643 0.95687 1.21790 0.96533 0.98608 1.02315 1.22334 0.96727 0.97117 1.00873 1.22218 0.97322 1.01673 0.96247 1.22638 0.92267 0.84471 1.02658 1.87885 1.74701 1.25431 1.42315 1.22817 0.93308 0.97134 0.89342 1.21957 0.97438 0.93870 1.03127 0.93964 0.94038 0.89251 0.92621 0.92128 0.76072 0.93113 0.92771 0.89199 0.96302 0.93686 0.91900 0.94382 0.92809 0.91915 0.92843 0.89631 0.90228 0.88583 0.92745 0.89027 0.90098 0.90646 0.89970 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.24 11.01 101.05 1.11 1.35 16 2 O -0.39 -3.69 7.62 -35.23 -0.27 -3.96 16 3 C 0.08 0.69 4.81 37.16 0.18 0.87 16 4 C -0.08 -0.88 0.53 -155.47 -0.08 -0.96 16 5 C 0.52 7.73 5.11 -10.98 -0.06 7.67 16 6 O -0.54 -9.91 13.51 5.56 0.08 -9.84 16 7 N -0.71 -10.45 4.60 -53.76 -0.25 -10.70 16 8 C 0.15 2.67 2.42 -67.88 -0.16 2.51 16 9 H 0.08 1.57 7.58 -51.93 -0.39 1.17 16 10 C -0.15 -2.92 5.65 -26.61 -0.15 -3.08 16 11 C 0.18 4.27 5.29 -3.71 -0.02 4.25 16 12 N -0.59 -14.44 2.99 -164.78 -0.49 -14.93 16 13 C -0.25 -6.67 8.60 -15.06 -0.13 -6.80 16 14 H 0.07 1.81 6.21 -52.49 -0.33 1.48 16 15 C 0.00 0.06 4.96 -17.43 -0.09 -0.02 16 16 N -0.90 -26.31 11.14 55.49 0.62 -25.69 16 17 Si 0.90 21.65 29.58 -169.99 -5.03 16.62 16 18 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 19 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 20 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 21 C 0.17 3.51 3.50 -67.60 -0.24 3.28 16 22 H 0.03 0.55 8.14 -51.93 -0.42 0.13 16 23 C -0.13 -2.49 7.94 37.16 0.30 -2.20 16 24 C -0.13 -2.24 4.84 -26.61 -0.13 -2.37 16 25 C -0.14 -1.40 4.68 -26.49 -0.12 -1.52 16 26 C 0.06 0.67 6.62 37.30 0.25 0.92 16 27 O -0.38 -5.07 10.77 -35.23 -0.38 -5.45 16 28 C 0.05 0.62 6.55 37.21 0.24 0.86 16 29 C -0.13 -1.32 4.56 -26.59 -0.12 -1.44 16 30 H 0.04 0.28 8.14 -51.93 -0.42 -0.14 16 31 H 0.04 0.23 8.14 -51.93 -0.42 -0.19 16 32 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 33 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 34 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 35 H 0.40 5.32 5.97 -40.82 -0.24 5.08 16 36 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 37 H 0.05 1.09 8.14 -51.93 -0.42 0.67 16 38 H 0.09 2.45 6.06 -51.93 -0.31 2.14 16 39 H 0.02 0.50 8.14 -51.93 -0.42 0.07 16 40 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 41 H 0.06 1.26 7.62 -51.93 -0.40 0.87 16 42 H 0.04 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.05 1.00 7.44 -51.93 -0.39 0.61 16 44 H 0.06 1.08 8.14 -51.93 -0.42 0.65 16 45 H 0.05 0.81 8.14 -51.93 -0.42 0.39 16 46 H 0.09 0.86 7.16 -51.93 -0.37 0.49 16 47 H 0.08 0.70 8.14 -51.93 -0.42 0.28 16 48 H 0.10 0.97 8.14 -51.93 -0.42 0.55 16 49 H 0.05 0.77 7.38 -51.93 -0.38 0.38 16 50 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 51 H 0.08 1.22 5.81 -51.93 -0.30 0.92 16 52 H 0.07 0.65 8.14 -51.93 -0.42 0.22 16 53 H 0.08 0.87 8.02 -51.93 -0.42 0.45 16 LS Contribution 396.41 15.07 5.97 5.97 Total: -1.00 -31.10 396.41 -8.40 -39.50 By element: Atomic # 1 Polarization: 14.59 SS G_CDS: -9.43 Total: 5.16 kcal Atomic # 6 Polarization: 2.54 SS G_CDS: 0.78 Total: 3.32 kcal Atomic # 7 Polarization: -51.20 SS G_CDS: -0.12 Total: -51.32 kcal Atomic # 8 Polarization: -18.67 SS G_CDS: -0.57 Total: -19.25 kcal Atomic # 14 Polarization: 21.65 SS G_CDS: -5.03 Total: 16.62 kcal Total LS contribution 5.97 Total: 5.97 kcal Total: -31.10 -8.40 -39.50 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. ZINC001484980171.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 -74.586 kcal (2) G-P(sol) polarization free energy of solvation -31.098 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.684 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.403 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.501 kcal (6) G-S(sol) free energy of system = (1) + (5) -114.087 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.28 seconds