Wall clock time and date at job start Sat Apr 11 2020 06:12:27 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 1.52993 * 1 3 3 C 1.53117 * 109.52337 * 2 1 4 4 C 1.53034 * 109.28056 * 182.37489 * 3 2 1 5 5 N 1.46847 * 109.52375 * 59.17710 * 4 3 2 6 6 C 1.46898 * 111.00249 * 174.15709 * 5 4 3 7 7 C 1.50697 * 109.47554 * 293.61062 * 6 5 4 8 8 O 1.21278 * 119.99621 * 353.72652 * 7 6 5 9 9 N 1.34770 * 120.00239 * 173.73158 * 7 6 5 10 10 C 1.46495 * 119.99986 * 359.97438 * 9 7 6 11 11 C 1.46503 * 120.00109 * 179.97438 * 9 7 6 12 12 C 1.53001 * 109.46803 * 89.99894 * 11 9 7 13 13 N 1.46900 * 109.46779 * 180.02562 * 12 11 9 14 14 C 1.46900 * 110.99970 * 180.02562 * 13 12 11 15 15 C 1.50703 * 109.47361 * 179.97438 * 14 13 12 16 16 O 1.21300 * 119.99767 * 359.97438 * 15 14 13 17 17 N 1.34777 * 120.00374 * 179.97438 * 15 14 13 18 18 C 1.37095 * 120.00141 * 179.97438 * 17 15 14 19 19 H 1.08001 * 119.99756 * 0.02562 * 18 17 15 20 20 C 1.38947 * 120.00171 * 179.97438 * 18 17 15 21 21 N 1.31417 * 119.99554 * 0.02562 * 20 18 17 22 22 Si 1.86794 * 120.00404 * 180.02562 * 20 18 17 23 23 H 1.48499 * 109.47161 * 89.99961 * 22 20 18 24 24 H 1.48503 * 109.47379 * 210.00540 * 22 20 18 25 25 H 1.48502 * 109.46779 * 330.00031 * 22 20 18 26 26 C 1.46851 * 111.19960 * 298.26104 * 5 4 3 27 27 C 1.53039 * 109.52277 * 61.73577 * 26 5 4 28 28 H 1.08999 * 109.47400 * 60.00334 * 1 2 3 29 29 H 1.09010 * 109.46970 * 180.02562 * 1 2 3 30 30 H 1.08998 * 109.47682 * 300.00186 * 1 2 3 31 31 H 1.09008 * 109.51965 * 120.11994 * 2 1 3 32 32 H 1.09002 * 109.50799 * 62.42857 * 3 2 1 33 33 H 1.09009 * 109.53007 * 302.33770 * 3 2 1 34 34 H 1.08997 * 109.46479 * 299.16387 * 4 3 2 35 35 H 1.09006 * 109.45070 * 179.18405 * 4 3 2 36 36 H 1.09000 * 109.47153 * 173.60422 * 6 5 4 37 37 H 1.09002 * 109.46736 * 53.60690 * 6 5 4 38 38 H 1.09006 * 109.47716 * 269.99978 * 10 9 7 39 39 H 1.09001 * 109.47341 * 29.99940 * 10 9 7 40 40 H 1.08998 * 109.47596 * 150.00116 * 10 9 7 41 41 H 1.09002 * 109.46872 * 209.99568 * 11 9 7 42 42 H 1.09000 * 109.47008 * 329.99755 * 11 9 7 43 43 H 1.09002 * 109.47140 * 299.99510 * 12 11 9 44 44 H 1.09000 * 109.47451 * 60.00133 * 12 11 9 45 45 H 1.00899 * 111.00715 * 56.04008 * 13 12 11 46 46 H 1.08996 * 109.46774 * 299.99628 * 14 13 12 47 47 H 1.09002 * 109.47657 * 59.99648 * 14 13 12 48 48 H 0.96993 * 119.99675 * 359.97438 * 17 15 14 49 49 H 0.97002 * 119.99723 * 180.02562 * 21 20 18 50 50 H 1.08993 * 109.46180 * 181.75718 * 26 5 4 51 51 H 1.08998 * 109.45684 * 301.72487 * 26 5 4 52 52 H 1.09002 * 109.49850 * 180.88263 * 27 26 5 53 53 H 1.09004 * 109.49776 * 60.76859 * 27 26 5 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 2.0416 1.4431 0.0000 4 6 3.5708 1.4371 -0.0599 5 7 4.0116 0.7425 -1.2763 6 6 5.4685 0.8374 -1.4381 7 6 5.8532 2.2718 -1.6939 8 8 4.9925 3.1118 -1.8503 9 7 7.1537 2.6212 -1.7488 10 6 8.1934 1.6066 -1.5594 11 6 7.5277 4.0156 -1.9980 12 6 7.6490 4.7570 -0.6651 13 7 8.0235 6.1553 -0.9150 14 6 8.1500 6.8996 0.3451 15 6 8.5348 8.3264 0.0494 16 8 8.6890 8.6875 -1.0983 17 7 8.7077 9.2011 1.0601 18 6 9.0583 10.4989 0.7910 19 1 9.1955 10.8204 -0.2309 20 6 9.2360 11.4008 1.8329 21 7 9.0685 11.0097 3.0763 22 14 9.7129 13.1693 1.4664 23 1 8.4857 13.9880 1.2970 24 1 10.5166 13.7089 2.5925 25 1 10.5159 13.2168 0.2180 26 6 3.5721 -0.6587 -1.2765 27 6 2.0430 -0.7152 -1.2528 28 1 -0.3634 0.5138 -0.8900 29 1 -0.3633 -1.0278 0.0005 30 1 -0.3634 0.5138 0.8899 31 1 1.8942 -0.5156 0.8887 32 1 1.7151 1.9451 0.9108 33 1 1.6455 1.9703 -0.8680 34 1 3.9665 0.9225 0.8157 35 1 3.9376 2.4635 -0.0746 36 1 5.7813 0.2214 -2.2813 37 1 5.9585 0.4862 -0.5300 38 1 8.4450 1.5373 -0.5010 39 1 7.8274 0.6415 -1.9097 40 1 9.0814 1.8860 -2.1264 41 1 8.4841 4.0475 -2.5199 42 1 6.7631 4.4929 -2.6110 43 1 6.6926 4.7251 -0.1432 44 1 8.4136 4.2797 -0.0521 45 1 7.3633 6.6014 -1.5341 46 1 7.1975 6.8822 0.8746 47 1 8.9186 6.4374 0.9647 48 1 8.5841 8.9124 1.9778 49 1 9.1921 11.6394 3.8036 50 1 3.9401 -1.1546 -2.1747 51 1 3.9678 -1.1635 -0.3952 52 1 1.7175 -1.7553 -1.2372 53 1 1.6469 -0.2226 -2.1410 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 ZINC001691525951.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 06:12:27 Heat of formation + Delta-G solvation = -69.562463 kcal Electronic energy + Delta-G solvation = -29499.371170 eV Core-core repulsion = 25405.685207 eV Total energy + Delta-G solvation = -4093.685962 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.46304 -39.01221 -38.24236 -36.36732 -34.97816 -34.83414 -33.79163 -31.23236 -31.15896 -30.50714 -29.12036 -27.06263 -26.62432 -25.28827 -23.80949 -23.51610 -22.39186 -21.82691 -19.99169 -19.51452 -19.07663 -17.86689 -17.36663 -16.68907 -16.38045 -15.86599 -15.72792 -15.44491 -15.03517 -14.81272 -14.68791 -14.51956 -14.35868 -14.04384 -13.76116 -13.62629 -13.40257 -13.34899 -13.17086 -13.02636 -12.76058 -12.61079 -12.45158 -12.20336 -12.14904 -11.97170 -11.83306 -11.50940 -11.48085 -11.47793 -11.09699 -11.01977 -10.94573 -10.64989 -10.59508 -10.37457 -10.19731 -9.86539 -9.48720 -8.92719 -8.63653 -8.42906 -8.05458 -7.93664 -6.39525 -3.80253 2.43598 2.63375 3.19799 3.28135 3.34401 3.53756 3.93512 4.14266 4.22848 4.41349 4.44388 4.47469 4.48176 4.70542 4.82607 4.86554 4.92677 4.98515 5.02630 5.05743 5.10249 5.17706 5.20802 5.24155 5.29916 5.29980 5.32697 5.35436 5.40762 5.50942 5.53232 5.63948 5.70288 5.75770 5.80870 5.86342 5.88018 5.91126 5.93749 6.01376 6.13423 6.23950 6.32616 6.61081 6.74774 7.16211 7.20662 7.57462 7.66650 8.02881 8.08678 8.63698 9.20108 9.56662 10.08238 10.78296 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.016426 B = 0.001729 C = 0.001610 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1704.223682 B =16189.296270 C =17387.135151 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.095 4.095 3 C -0.109 4.109 4 C 0.053 3.947 5 N -0.521 5.521 6 C 0.039 3.961 7 C 0.511 3.489 8 O -0.514 6.514 9 N -0.618 5.618 10 C 0.078 3.922 11 C 0.118 3.882 12 C 0.047 3.953 13 N -0.667 5.667 14 C 0.053 3.947 15 C 0.441 3.559 16 O -0.583 6.583 17 N -0.564 5.564 18 C -0.299 4.299 19 H 0.103 0.897 20 C 0.021 3.979 21 N -0.902 5.902 22 Si 0.931 3.069 23 H -0.278 1.278 24 H -0.284 1.284 25 H -0.269 1.269 26 C 0.057 3.943 27 C -0.110 4.110 28 H 0.056 0.944 29 H 0.052 0.948 30 H 0.054 0.946 31 H 0.064 0.936 32 H 0.066 0.934 33 H 0.074 0.926 34 H 0.027 0.973 35 H 0.088 0.912 36 H 0.104 0.896 37 H 0.061 0.939 38 H 0.056 0.944 39 H 0.069 0.931 40 H 0.077 0.923 41 H 0.088 0.912 42 H 0.084 0.916 43 H 0.029 0.971 44 H 0.069 0.931 45 H 0.351 0.649 46 H 0.043 0.957 47 H 0.085 0.915 48 H 0.392 0.608 49 H 0.271 0.729 50 H 0.075 0.925 51 H 0.032 0.968 52 H 0.066 0.934 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -10.227 -29.555 -4.423 31.586 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 -0.203 4.203 2 C -0.114 4.114 3 C -0.147 4.147 4 C -0.074 4.074 5 N -0.246 5.246 6 C -0.092 4.092 7 C 0.298 3.702 8 O -0.388 6.388 9 N -0.354 5.354 10 C -0.066 4.066 11 C -0.004 4.004 12 C -0.084 4.084 13 N -0.300 5.300 14 C -0.080 4.080 15 C 0.227 3.773 16 O -0.467 6.467 17 N -0.201 5.201 18 C -0.428 4.428 19 H 0.121 0.879 20 C -0.180 4.180 21 N -0.544 5.544 22 Si 0.758 3.242 23 H -0.204 1.204 24 H -0.209 1.209 25 H -0.194 1.194 26 C -0.071 4.071 27 C -0.148 4.148 28 H 0.075 0.925 29 H 0.071 0.929 30 H 0.073 0.927 31 H 0.083 0.917 32 H 0.084 0.916 33 H 0.093 0.907 34 H 0.045 0.955 35 H 0.107 0.893 36 H 0.122 0.878 37 H 0.078 0.922 38 H 0.075 0.925 39 H 0.088 0.912 40 H 0.095 0.905 41 H 0.106 0.894 42 H 0.103 0.897 43 H 0.047 0.953 44 H 0.088 0.912 45 H 0.171 0.829 46 H 0.061 0.939 47 H 0.103 0.897 48 H 0.225 0.775 49 H 0.081 0.919 50 H 0.093 0.907 51 H 0.051 0.949 52 H 0.085 0.915 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -10.118 -28.646 -5.550 30.883 hybrid contribution -0.161 0.314 1.603 1.641 sum -10.279 -28.333 -3.947 30.397 Atomic orbital electron populations 1.21804 0.95031 1.01503 1.01987 1.21205 0.95753 0.96467 0.97979 1.21612 0.94416 0.96154 1.02512 1.22205 0.96230 1.00071 0.88902 1.61565 1.09816 1.13922 1.39278 1.21981 0.89992 0.94813 1.02422 1.20532 0.82003 0.90720 0.76936 1.90719 1.48509 1.51995 1.47596 1.47859 1.05856 1.09292 1.72373 1.21835 0.91632 0.91299 1.01821 1.21424 1.02022 0.79840 0.97157 1.22246 0.99039 0.89989 0.97088 1.60011 1.55070 1.00762 1.14137 1.21650 1.00471 0.94213 0.91671 1.19800 0.84765 0.86545 0.86203 1.90523 1.56291 1.79049 1.20802 1.41857 1.60699 1.09650 1.07872 1.19715 1.43183 0.84884 0.95069 0.87891 1.25267 0.97585 1.00488 0.94671 1.69619 1.49817 1.36371 0.98579 0.85844 0.78577 0.81746 0.78040 1.20431 1.20942 1.19396 1.22110 0.96362 0.88001 1.00596 1.21635 0.94200 1.00218 0.98765 0.92488 0.92859 0.92698 0.91718 0.91568 0.90741 0.95482 0.89328 0.87848 0.92151 0.92490 0.91248 0.90468 0.89364 0.89725 0.95283 0.91239 0.82946 0.93863 0.89674 0.77469 0.91904 0.90684 0.94936 0.91534 0.90848 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 -0.15 -0.91 9.20 37.15 0.34 -0.57 16 2 C -0.10 -0.67 2.79 -90.51 -0.25 -0.92 16 3 C -0.11 -0.96 5.38 -26.65 -0.14 -1.11 16 4 C 0.05 0.53 5.12 -3.84 -0.02 0.51 16 5 N -0.52 -4.84 4.35 -236.12 -1.03 -5.86 16 6 C 0.04 0.31 3.91 -4.98 -0.02 0.29 16 7 C 0.51 5.74 7.20 -10.99 -0.08 5.66 16 8 O -0.51 -7.93 14.29 5.56 0.08 -7.85 16 9 N -0.62 -5.98 2.87 -181.57 -0.52 -6.50 16 10 C 0.08 0.45 10.17 59.84 0.61 1.05 16 11 C 0.12 1.38 5.71 -4.04 -0.02 1.35 16 12 C 0.05 0.63 6.01 -3.82 -0.02 0.61 16 13 N -0.67 -11.30 6.12 -115.06 -0.70 -12.00 16 14 C 0.05 0.98 6.17 -4.97 -0.03 0.94 16 15 C 0.44 10.74 7.82 -10.98 -0.09 10.66 16 16 O -0.58 -16.21 15.78 5.54 0.09 -16.12 16 17 N -0.56 -14.65 5.29 -10.96 -0.06 -14.70 16 18 C -0.30 -8.50 9.68 -14.94 -0.14 -8.64 16 19 H 0.10 3.06 7.16 -52.49 -0.38 2.69 16 20 C 0.02 0.58 5.50 -17.47 -0.10 0.48 16 21 N -0.90 -24.89 13.05 55.50 0.72 -24.17 16 22 Si 0.93 21.35 29.55 -169.99 -5.02 16.33 16 23 H -0.28 -6.31 7.11 56.52 0.40 -5.91 16 24 H -0.28 -6.36 7.11 56.52 0.40 -5.95 16 25 H -0.27 -6.17 7.11 56.52 0.40 -5.77 16 26 C 0.06 0.39 5.46 -3.83 -0.02 0.37 16 27 C -0.11 -0.73 5.38 -26.65 -0.14 -0.88 16 28 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 29 H 0.05 0.29 8.14 -51.92 -0.42 -0.14 16 30 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 31 H 0.06 0.45 8.14 -51.92 -0.42 0.02 16 32 H 0.07 0.55 8.14 -51.93 -0.42 0.12 16 33 H 0.07 0.76 8.14 -51.92 -0.42 0.34 16 34 H 0.03 0.24 8.14 -51.93 -0.42 -0.18 16 35 H 0.09 1.10 6.06 -51.93 -0.31 0.79 16 36 H 0.10 0.62 7.55 -51.93 -0.39 0.22 16 37 H 0.06 0.39 7.90 -51.93 -0.41 -0.02 16 38 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 39 H 0.07 0.26 6.61 -51.93 -0.34 -0.09 16 40 H 0.08 0.39 7.89 -51.93 -0.41 -0.02 16 41 H 0.09 0.94 7.89 -51.93 -0.41 0.53 16 42 H 0.08 1.14 7.42 -51.93 -0.39 0.75 16 43 H 0.03 0.42 8.14 -51.93 -0.42 0.00 16 44 H 0.07 0.86 8.14 -51.93 -0.42 0.44 16 45 H 0.35 6.26 8.43 -39.29 -0.33 5.93 16 46 H 0.04 0.75 8.14 -51.93 -0.42 0.32 16 47 H 0.09 1.44 8.14 -51.93 -0.42 1.02 16 48 H 0.39 9.72 7.90 -40.82 -0.32 9.40 16 49 H 0.27 7.07 8.31 -40.82 -0.34 6.73 16 50 H 0.07 0.43 8.01 -51.93 -0.42 0.02 16 51 H 0.03 0.21 8.14 -51.93 -0.42 -0.22 16 52 H 0.07 0.35 8.14 -51.93 -0.42 -0.07 16 53 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 LS Contribution 421.39 15.07 6.35 6.35 Total: -1.00 -34.07 421.39 -9.81 -43.88 By element: Atomic # 1 Polarization: 20.42 SS G_CDS: -9.59 Total: 10.84 kcal Atomic # 6 Polarization: 9.94 SS G_CDS: -0.13 Total: 9.81 kcal Atomic # 7 Polarization: -61.65 SS G_CDS: -1.59 Total: -63.24 kcal Atomic # 8 Polarization: -24.14 SS G_CDS: 0.17 Total: -23.97 kcal Atomic # 14 Polarization: 21.35 SS G_CDS: -5.02 Total: 16.33 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -34.07 -9.81 -43.88 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. ZINC001691525951.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 -25.686 kcal (2) G-P(sol) polarization free energy of solvation -34.067 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -59.752 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.810 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.877 kcal (6) G-S(sol) free energy of system = (1) + (5) -69.562 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds