Wall clock time and date at job start Sat Apr 11 2020 06:10:01 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 1.53000 * 1 3 3 C 1.53001 * 109.47027 * 2 1 4 4 C 1.52997 * 109.46626 * 119.99600 * 2 1 3 5 5 C 1.53005 * 109.46791 * 174.99944 * 4 2 1 6 6 N 1.46506 * 109.46944 * 180.02562 * 5 4 2 7 7 C 1.46493 * 119.99898 * 269.99949 * 6 5 4 8 8 C 1.50706 * 109.47567 * 270.00190 * 7 6 5 9 9 H 1.08000 * 119.99524 * 0.02562 * 8 7 6 10 10 C 1.37874 * 120.00150 * 180.02562 * 8 7 6 11 11 N 1.31512 * 119.99809 * 179.97438 * 10 8 7 12 12 Si 1.86803 * 119.99916 * 0.02562 * 10 8 7 13 13 H 1.48494 * 109.47160 * 89.99803 * 12 10 8 14 14 H 1.48500 * 109.46559 * 209.99872 * 12 10 8 15 15 H 1.48499 * 109.47053 * 329.99483 * 12 10 8 16 16 C 1.34770 * 119.99706 * 90.00650 * 6 5 4 17 17 O 1.21283 * 120.00056 * 179.97438 * 16 6 5 18 18 C 1.50697 * 120.00486 * 359.97438 * 16 6 5 19 19 C 1.52996 * 109.47491 * 180.02562 * 18 16 6 20 20 C 1.50702 * 109.47159 * 179.97438 * 19 18 16 21 21 O 1.21283 * 120.00262 * 0.02562 * 20 19 18 22 22 N 1.34777 * 119.99928 * 179.72352 * 20 19 18 23 23 C 1.47151 * 120.98153 * 359.97438 * 22 20 19 24 24 C 1.53717 * 108.16446 * 129.42886 * 23 22 20 25 25 O 1.42967 * 109.14561 * 52.53739 * 24 23 22 26 26 C 1.42962 * 114.16617 * 297.29050 * 25 24 23 27 27 C 1.47151 * 120.98263 * 180.27616 * 22 20 19 28 28 H 1.08996 * 109.47781 * 300.00161 * 1 2 3 29 29 H 1.09002 * 109.46909 * 60.00267 * 1 2 3 30 30 H 1.08998 * 109.47558 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.46918 * 239.99874 * 2 1 3 32 32 H 1.08997 * 109.46986 * 180.02562 * 3 2 1 33 33 H 1.09002 * 109.47058 * 299.99642 * 3 2 1 34 34 H 1.08996 * 109.46971 * 59.99343 * 3 2 1 35 35 H 1.08997 * 109.47195 * 55.00674 * 4 2 1 36 36 H 1.08990 * 109.47581 * 295.00064 * 4 2 1 37 37 H 1.09002 * 109.47093 * 60.00235 * 5 4 2 38 38 H 1.09003 * 109.47435 * 300.00269 * 5 4 2 39 39 H 1.09001 * 109.47563 * 30.00286 * 7 6 5 40 40 H 1.09003 * 109.47007 * 150.00002 * 7 6 5 41 41 H 0.97006 * 120.00051 * 179.97438 * 11 10 8 42 42 H 1.09004 * 109.46801 * 60.00195 * 18 16 6 43 43 H 1.09000 * 109.47461 * 300.00727 * 18 16 6 44 44 H 1.09004 * 109.47066 * 60.00201 * 19 18 16 45 45 H 1.08994 * 109.47405 * 300.00031 * 19 18 16 46 46 H 1.08997 * 109.67944 * 249.20758 * 23 22 20 47 47 H 1.09001 * 109.68346 * 9.76100 * 23 22 20 48 48 H 1.08998 * 109.65611 * 292.57311 * 24 23 22 49 49 H 1.08994 * 109.48424 * 172.39690 * 24 23 22 50 50 H 1.09008 * 109.51186 * 302.65841 * 26 25 24 51 51 H 1.08996 * 109.55507 * 182.53559 * 26 25 24 52 52 H 1.09000 * 109.68250 * 350.23937 * 27 22 20 53 53 H 1.09002 * 109.68088 * 110.79250 * 27 22 20 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 2.0399 -0.7212 1.2493 5 6 3.5647 -0.8310 1.1881 6 7 4.0530 -1.5221 2.3841 7 6 4.4013 -0.7549 3.5824 8 6 5.8553 -0.3630 3.5231 9 1 6.4593 -0.6558 2.6770 10 6 6.4143 0.3693 4.5488 11 7 7.6833 0.7109 4.4972 12 14 5.3697 0.8751 6.0125 13 1 5.4400 -0.1771 7.0580 14 1 5.8785 2.1563 6.5645 15 1 3.9601 1.0483 5.5784 16 6 4.1817 -2.8636 2.3817 17 8 4.5863 -3.4358 3.3716 18 6 3.8229 -3.6529 1.1491 19 6 4.0583 -5.1419 1.4104 20 6 3.6989 -5.9312 0.1779 21 8 3.2948 -5.3591 -0.8122 22 7 3.8324 -7.2724 0.1739 23 6 4.3274 -7.9879 1.3607 24 6 3.3505 -9.1331 1.6719 25 8 3.1572 -9.9180 0.4927 26 6 2.5619 -9.2049 -0.5940 27 6 3.4936 -8.0638 -1.0195 28 1 -0.3634 0.5138 0.8899 29 1 -0.3633 0.5138 -0.8900 30 1 -0.3634 -1.0276 -0.0005 31 1 1.8933 -0.5139 -0.8900 32 1 3.1300 1.4425 -0.0005 33 1 1.6767 1.9563 -0.8900 34 1 1.6765 1.9563 0.8899 35 1 1.6053 -1.7197 1.2952 36 1 1.7515 -0.1583 2.1369 37 1 3.9994 0.1676 1.1421 38 1 3.8532 -1.3940 0.3003 39 1 3.7848 0.1427 3.6312 40 1 4.2254 -1.3651 4.4684 41 1 8.0766 1.2265 5.2187 42 1 4.4450 -3.3272 0.3153 43 1 2.7734 -3.4887 0.9051 44 1 3.4360 -5.4673 2.2441 45 1 5.1077 -5.3066 1.6545 46 1 5.3191 -8.3923 1.1583 47 1 4.3753 -7.3041 2.2082 48 1 2.3946 -8.7217 1.9962 49 1 3.7643 -9.7593 2.4622 50 1 1.6031 -8.7937 -0.2779 51 1 2.4084 -9.8820 -1.4342 52 1 2.9890 -7.4303 -1.7490 53 1 4.4030 -8.4758 -1.4570 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 ZINC000103440692.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 06:10:01 Heat of formation + Delta-G solvation = -130.188270 kcal Electronic energy + Delta-G solvation = -30791.272463 eV Core-core repulsion = 26662.664817 eV Total energy + Delta-G solvation = -4128.607646 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.70 seconds Orbital eigenvalues (eV) -40.59397 -39.33068 -38.45051 -36.83075 -35.01368 -34.61293 -33.04177 -32.45228 -31.57378 -29.39388 -28.43762 -27.62428 -27.06936 -25.48343 -24.22682 -23.23838 -22.53442 -21.59974 -19.88539 -19.29943 -18.42049 -17.55575 -16.91416 -16.81125 -16.36777 -16.20966 -15.75437 -15.55972 -15.45063 -15.30575 -14.98676 -14.61998 -14.15901 -14.01207 -13.81104 -13.60759 -13.44540 -13.00010 -12.73740 -12.67164 -12.52857 -12.30403 -12.21432 -12.12964 -11.86328 -11.77902 -11.66614 -11.55771 -11.20637 -11.13982 -11.10160 -10.88461 -10.79332 -10.55430 -10.54661 -10.47382 -10.32695 -10.12082 -9.90688 -9.53159 -9.01770 -8.87020 -8.58920 -7.70064 -6.08657 -4.07134 2.46742 2.58531 3.28510 3.33826 3.34558 3.36203 3.41919 3.79147 4.30793 4.36242 4.39361 4.60616 4.67207 4.82217 4.85523 4.91157 4.94106 4.96477 5.02236 5.12993 5.16095 5.20814 5.22870 5.30305 5.37067 5.40629 5.44068 5.54466 5.62818 5.67783 5.73336 5.76704 5.79503 5.89227 5.96565 5.99056 6.03156 6.13739 6.15352 6.18340 6.27671 6.49166 6.52784 6.67707 6.72162 6.94723 7.06233 7.35684 7.61557 7.95869 8.26026 8.47287 8.92373 8.98253 9.51860 11.04779 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009723 B = 0.003001 C = 0.002438 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2879.083666 B = 9328.369981 C =11484.043939 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.094 4.094 3 C -0.151 4.151 4 C -0.133 4.133 5 C 0.109 3.891 6 N -0.590 5.590 7 C 0.216 3.784 8 C -0.527 4.527 9 H 0.074 0.926 10 C 0.072 3.928 11 N -0.898 5.898 12 Si 0.875 3.125 13 H -0.274 1.274 14 H -0.285 1.285 15 H -0.266 1.266 16 C 0.508 3.492 17 O -0.546 6.546 18 C -0.124 4.124 19 C -0.123 4.123 20 C 0.520 3.480 21 O -0.539 6.539 22 N -0.621 5.621 23 C 0.069 3.931 24 C 0.047 3.953 25 O -0.381 6.381 26 C 0.048 3.952 27 C 0.076 3.924 28 H 0.053 0.947 29 H 0.051 0.949 30 H 0.052 0.948 31 H 0.071 0.929 32 H 0.062 0.938 33 H 0.050 0.950 34 H 0.054 0.946 35 H 0.060 0.940 36 H 0.066 0.934 37 H 0.086 0.914 38 H 0.070 0.930 39 H 0.029 0.971 40 H 0.035 0.965 41 H 0.264 0.736 42 H 0.095 0.905 43 H 0.093 0.907 44 H 0.100 0.900 45 H 0.104 0.896 46 H 0.080 0.920 47 H 0.103 0.897 48 H 0.058 0.942 49 H 0.108 0.892 50 H 0.056 0.944 51 H 0.106 0.894 52 H 0.101 0.899 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.508 -14.470 -10.715 22.509 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 -0.113 4.113 3 C -0.209 4.209 4 C -0.172 4.172 5 C -0.015 4.015 6 N -0.321 5.321 7 C 0.096 3.904 8 C -0.565 4.565 9 H 0.092 0.908 10 C -0.130 4.130 11 N -0.536 5.536 12 Si 0.702 3.298 13 H -0.199 1.199 14 H -0.211 1.211 15 H -0.191 1.191 16 C 0.295 3.705 17 O -0.425 6.425 18 C -0.164 4.164 19 C -0.163 4.163 20 C 0.310 3.690 21 O -0.415 6.415 22 N -0.357 5.357 23 C -0.054 4.054 24 C -0.031 4.031 25 O -0.299 6.299 26 C -0.029 4.029 27 C -0.047 4.047 28 H 0.072 0.928 29 H 0.070 0.930 30 H 0.071 0.929 31 H 0.089 0.911 32 H 0.081 0.919 33 H 0.069 0.931 34 H 0.073 0.927 35 H 0.079 0.921 36 H 0.085 0.915 37 H 0.104 0.896 38 H 0.088 0.912 39 H 0.047 0.953 40 H 0.053 0.947 41 H 0.074 0.926 42 H 0.114 0.886 43 H 0.111 0.889 44 H 0.118 0.882 45 H 0.122 0.878 46 H 0.099 0.901 47 H 0.121 0.879 48 H 0.076 0.924 49 H 0.126 0.874 50 H 0.074 0.926 51 H 0.124 0.876 52 H 0.120 0.880 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -13.307 -14.515 -10.613 22.370 hybrid contribution -0.351 0.651 0.822 1.106 sum -13.658 -13.864 -9.791 21.786 Atomic orbital electron populations 1.21826 0.95531 1.01453 1.01461 1.21056 0.95426 0.96543 0.98277 1.21917 1.01803 0.95729 1.01415 1.22107 0.96385 1.00540 0.98137 1.21603 0.93054 0.99165 0.87698 1.47894 1.63313 1.05706 1.15145 1.19639 0.96677 0.90687 0.83411 1.21331 0.93578 1.34067 1.07572 0.90777 1.24852 0.94837 0.95467 0.97840 1.69898 1.11781 1.38698 1.33268 0.86862 0.81009 0.78318 0.83578 1.19944 1.21105 1.19072 1.20309 0.78370 0.82728 0.89088 1.90652 1.46542 1.69581 1.35713 1.21425 1.04119 0.93071 0.97800 1.21414 1.04923 0.94521 0.95441 1.20934 0.76593 0.81391 0.90105 1.90683 1.46066 1.69086 1.35714 1.48166 1.66660 1.06320 1.14560 1.22611 0.98387 0.95540 0.88870 1.23086 0.98740 0.93242 0.88008 1.87966 1.82340 1.37194 1.22416 1.22999 0.95168 0.94258 0.90504 1.22277 1.00180 0.93572 0.88640 0.92818 0.92956 0.92911 0.91095 0.91895 0.93112 0.92651 0.92124 0.91499 0.89561 0.91161 0.95323 0.94665 0.92592 0.88626 0.88856 0.88183 0.87827 0.90124 0.87857 0.92387 0.87375 0.92598 0.87642 0.88029 0.90709 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -1.45 9.19 37.16 0.34 -1.11 16 2 C -0.09 -1.06 2.92 -90.62 -0.26 -1.32 16 3 C -0.15 -1.71 8.95 37.16 0.33 -1.38 16 4 C -0.13 -1.78 5.01 -26.73 -0.13 -1.92 16 5 C 0.11 1.74 4.97 -4.04 -0.02 1.72 16 6 N -0.59 -11.97 2.46 -175.05 -0.43 -12.40 16 7 C 0.22 5.24 4.23 -5.19 -0.02 5.22 16 8 C -0.53 -15.04 9.94 -34.44 -0.34 -15.39 16 9 H 0.07 2.33 8.06 -52.49 -0.42 1.90 16 10 C 0.07 2.10 5.47 -17.82 -0.10 2.00 16 11 N -0.90 -27.61 13.96 55.43 0.77 -26.84 16 12 Si 0.88 21.49 27.47 -169.99 -4.67 16.82 16 13 H -0.27 -6.75 7.11 56.52 0.40 -6.35 16 14 H -0.29 -6.89 7.11 56.52 0.40 -6.48 16 15 H -0.27 -6.15 6.54 56.52 0.37 -5.78 16 16 C 0.51 10.02 7.67 -10.99 -0.08 9.94 16 17 O -0.55 -12.70 15.56 5.55 0.09 -12.61 16 18 C -0.12 -1.86 3.54 -27.89 -0.10 -1.95 16 19 C -0.12 -1.60 3.36 -27.88 -0.09 -1.70 16 20 C 0.52 6.68 7.71 -10.98 -0.08 6.60 16 21 O -0.54 -8.40 15.45 5.55 0.09 -8.32 16 22 N -0.62 -6.44 3.01 -171.99 -0.52 -6.96 16 23 C 0.07 0.56 6.56 -3.31 -0.02 0.54 16 24 C 0.05 0.34 7.00 37.53 0.26 0.60 16 25 O -0.38 -3.42 10.74 -35.23 -0.38 -3.79 16 26 C 0.05 0.36 6.99 37.33 0.26 0.62 16 27 C 0.08 0.68 6.64 -3.51 -0.02 0.65 16 28 H 0.05 0.54 8.14 -51.93 -0.42 0.11 16 29 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 30 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 32 H 0.06 0.76 6.57 -51.93 -0.34 0.42 16 33 H 0.05 0.50 8.14 -51.93 -0.42 0.08 16 34 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 35 H 0.06 0.79 7.22 -51.93 -0.37 0.41 16 36 H 0.07 0.96 8.14 -51.93 -0.42 0.54 16 37 H 0.09 1.46 6.50 -51.93 -0.34 1.12 16 38 H 0.07 1.01 6.44 -51.93 -0.33 0.68 16 39 H 0.03 0.67 7.13 -51.93 -0.37 0.30 16 40 H 0.04 0.91 6.85 -51.93 -0.36 0.55 16 41 H 0.26 7.59 8.31 -40.82 -0.34 7.25 16 42 H 0.10 1.43 7.36 -51.93 -0.38 1.05 16 43 H 0.09 1.29 7.14 -51.93 -0.37 0.92 16 44 H 0.10 1.21 7.63 -51.93 -0.40 0.82 16 45 H 0.10 1.37 7.96 -51.93 -0.41 0.96 16 46 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.10 0.79 6.06 -51.93 -0.31 0.48 16 48 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 49 H 0.11 0.59 8.14 -51.93 -0.42 0.16 16 50 H 0.06 0.42 8.14 -51.92 -0.42 0.00 16 51 H 0.11 0.57 8.14 -51.93 -0.42 0.15 16 52 H 0.10 0.98 7.08 -51.93 -0.37 0.61 16 53 H 0.07 0.62 8.14 -51.93 -0.42 0.20 16 LS Contribution 415.69 15.07 6.26 6.26 Total: -1.00 -35.42 415.69 -8.32 -43.73 By element: Atomic # 1 Polarization: 10.42 SS G_CDS: -9.44 Total: 0.98 kcal Atomic # 6 Polarization: 3.22 SS G_CDS: -0.09 Total: 3.13 kcal Atomic # 7 Polarization: -46.03 SS G_CDS: -0.17 Total: -46.20 kcal Atomic # 8 Polarization: -24.52 SS G_CDS: -0.21 Total: -24.73 kcal Atomic # 14 Polarization: 21.49 SS G_CDS: -4.67 Total: 16.82 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -35.42 -8.32 -43.73 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. ZINC000103440692.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 -86.454 kcal (2) G-P(sol) polarization free energy of solvation -35.415 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -121.870 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.318 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.734 kcal (6) G-S(sol) free energy of system = (1) + (5) -130.188 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.70 seconds