Wall clock time and date at job start Tue Mar 31 2020 23:55:20 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 1.42902 * 1 3 3 C 1.42902 * 114.00019 * 2 1 4 4 C 1.52998 * 109.47032 * 180.02562 * 3 2 1 5 5 C 1.52998 * 109.46357 * 60.02751 * 4 3 2 6 6 N 1.46501 * 109.46901 * 299.97414 * 5 4 3 7 7 C 1.34771 * 119.99811 * 180.02562 * 6 5 4 8 8 O 1.21283 * 120.00541 * 359.97438 * 7 6 5 9 9 C 1.50700 * 120.00154 * 179.97438 * 7 6 5 10 10 H 1.09001 * 110.45936 * 302.60484 * 9 7 6 11 11 C 1.54482 * 110.51066 * 65.35698 * 9 7 6 12 12 O 1.44420 * 104.80650 * 94.66756 * 11 9 7 13 13 C 1.44430 * 105.27279 * 40.51056 * 12 11 9 14 14 H 1.09002 * 110.37020 * 78.32324 * 13 12 11 15 15 C 1.53002 * 110.37064 * 200.65489 * 13 12 11 16 16 C 1.54477 * 104.80603 * 319.49094 * 13 12 11 17 17 C 1.53037 * 109.45762 * 180.02562 * 4 3 2 18 18 C 1.53190 * 109.31752 * 58.63882 * 17 4 3 19 19 N 1.46928 * 108.77389 * 54.63321 * 18 17 4 20 20 C 1.36941 * 120.62743 * 126.37557 * 19 18 17 21 21 H 1.08004 * 119.99410 * 207.68861 * 20 19 18 22 22 C 1.38806 * 119.99982 * 27.95642 * 20 19 18 23 23 N 1.31614 * 120.00240 * 16.96836 * 22 20 19 24 24 Si 1.86804 * 119.99802 * 196.96830 * 22 20 19 25 25 H 1.48495 * 109.47161 * 90.00057 * 24 22 20 26 26 H 1.48504 * 109.47022 * 210.00718 * 24 22 20 27 27 H 1.48503 * 109.46736 * 329.99970 * 24 22 20 28 28 C 1.46919 * 118.73869 * 306.64215 * 19 18 17 29 29 C 1.52764 * 109.00835 * 53.31418 * 28 19 18 30 30 H 1.08999 * 109.47595 * 59.99352 * 1 2 3 31 31 H 1.09003 * 109.46999 * 180.02562 * 1 2 3 32 32 H 1.09002 * 109.46514 * 299.99508 * 1 2 3 33 33 H 1.08994 * 109.46760 * 60.00392 * 3 2 1 34 34 H 1.08997 * 109.47036 * 300.00643 * 3 2 1 35 35 H 1.08995 * 109.47165 * 59.97133 * 5 4 3 36 36 H 1.08994 * 109.47032 * 179.97438 * 5 4 3 37 37 H 0.97000 * 120.00258 * 359.97438 * 6 5 4 38 38 H 1.09007 * 110.37231 * 213.49992 * 11 9 7 39 39 H 1.08999 * 110.37130 * 335.83218 * 11 9 7 40 40 H 1.08995 * 109.46998 * 175.38262 * 15 13 12 41 41 H 1.08993 * 109.47485 * 295.38381 * 15 13 12 42 42 H 1.09001 * 109.46685 * 55.38437 * 15 13 12 43 43 H 1.09005 * 110.51007 * 265.33510 * 16 13 12 44 44 H 1.08997 * 110.50953 * 142.62586 * 16 13 12 45 45 H 1.09005 * 109.49888 * 298.68113 * 17 4 3 46 46 H 1.09006 * 109.52539 * 178.61013 * 17 4 3 47 47 H 1.09001 * 109.58518 * 294.84668 * 18 17 4 48 48 H 1.08995 * 109.58761 * 174.42490 * 18 17 4 49 49 H 0.97009 * 120.00166 * 179.97438 * 23 22 20 50 50 H 1.09001 * 109.58811 * 173.14695 * 28 19 18 51 51 H 1.08997 * 109.59002 * 293.57126 * 28 19 18 52 52 H 1.08998 * 109.56609 * 185.54719 * 29 28 19 53 53 H 1.09001 * 109.38523 * 65.51373 * 29 28 19 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 2.0103 1.3055 0.0000 4 6 3.5355 1.1846 -0.0006 5 6 3.9862 0.4262 -1.2506 6 7 3.3907 -0.9123 -1.2508 7 6 3.6497 -1.7649 -2.2620 8 8 4.3754 -1.4239 -3.1720 9 6 3.0376 -3.1420 -2.2620 10 1 3.3128 -3.6812 -1.3556 11 6 1.5013 -3.0514 -2.3962 12 8 1.2452 -3.1955 -3.8102 13 6 2.1559 -4.2227 -4.2591 14 1 1.7786 -5.2089 -3.9885 15 6 2.3628 -4.1270 -5.7720 16 6 3.4781 -3.9303 -3.5158 17 6 4.1576 2.5828 0.0000 18 6 3.6767 3.3509 1.2351 19 7 3.9780 2.5558 2.4334 20 6 4.6876 3.0992 3.4709 21 1 5.2812 2.4630 4.1107 22 6 4.6395 4.4667 3.7037 23 7 3.6814 5.1923 3.1671 24 14 5.9346 5.2774 4.7784 25 1 7.0765 5.7123 3.9346 26 1 5.3445 6.4576 5.4596 27 1 6.4122 4.3064 5.7954 28 6 3.5087 1.1650 2.4947 29 6 3.9868 0.4231 1.2478 30 1 -0.3634 0.5139 -0.8899 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3632 0.5138 0.8901 33 1 1.6887 1.8463 0.8900 34 1 1.6885 1.8464 -0.8899 35 1 3.6638 0.9674 -2.1400 36 1 5.0728 0.3404 -1.2514 37 1 2.8106 -1.1853 -0.5229 38 1 1.0236 -3.8580 -1.8399 39 1 1.1459 -2.0835 -2.0429 40 1 3.1132 -4.8538 -6.0827 41 1 1.4221 -4.3357 -6.2814 42 1 2.7006 -3.1232 -6.0296 43 1 4.1386 -3.3239 -4.1356 44 1 3.9689 -4.8604 -3.2293 45 1 3.8546 3.1163 -0.9010 46 1 5.2441 2.4981 0.0245 47 1 2.6014 3.5160 1.1670 48 1 4.1926 4.3093 1.2932 49 1 3.6476 6.1480 3.3301 50 1 3.9137 0.6814 3.3836 51 1 2.4194 1.1481 2.5314 52 1 3.5621 -0.5807 1.2350 53 1 5.0747 0.3576 1.2606 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 ZINC001162335889.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 23:55:20 Heat of formation + Delta-G solvation = -109.779648 kcal Electronic energy + Delta-G solvation = -32177.831060 eV Core-core repulsion = 28050.108399 eV Total energy + Delta-G solvation = -4127.722661 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -40.59150 -39.52223 -38.19341 -36.79876 -34.85641 -33.12464 -32.48586 -31.88211 -30.94521 -29.83307 -27.45551 -27.04630 -26.09328 -25.08620 -24.23121 -23.12752 -22.25496 -21.32496 -20.80380 -19.89887 -18.37539 -17.44875 -16.82819 -16.56131 -16.21042 -15.90208 -15.75416 -15.65969 -15.04145 -14.95496 -14.63792 -14.48699 -13.96260 -13.67356 -13.56567 -13.48418 -13.25008 -13.07648 -12.62428 -12.55023 -12.53518 -12.25184 -11.98177 -11.92963 -11.62684 -11.46412 -11.37764 -11.30215 -11.23536 -11.03585 -10.97706 -10.76199 -10.49452 -10.29240 -10.18829 -10.15747 -9.89083 -9.74915 -9.56096 -9.46267 -9.35799 -8.77180 -8.48267 -6.70125 -5.82508 -3.24224 2.72082 3.26549 3.36067 3.43449 3.44014 3.66815 3.87508 4.23756 4.47126 4.56187 4.73369 4.76603 4.92543 5.00628 5.08441 5.12539 5.18901 5.26848 5.29351 5.36305 5.38762 5.40511 5.46654 5.51134 5.53364 5.58916 5.66460 5.69273 5.70071 5.76398 5.87294 5.90701 5.97404 6.03863 6.05373 6.12815 6.29422 6.46637 6.53304 6.56509 6.60950 6.64462 6.73312 6.80721 6.94525 7.22582 7.29226 7.60078 7.76861 7.81160 8.41583 8.42310 9.18062 9.81482 10.37540 11.26140 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.025077 B = 0.002598 C = 0.002500 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1116.275463 B =10773.385774 C =11198.583922 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 -0.398 6.398 3 C 0.070 3.930 4 C -0.056 4.056 5 C 0.133 3.867 6 N -0.708 5.708 7 C 0.517 3.483 8 O -0.548 6.548 9 C -0.146 4.146 10 H 0.108 0.892 11 C 0.057 3.943 12 O -0.368 6.368 13 C 0.070 3.930 14 H 0.068 0.932 15 C -0.146 4.146 16 C -0.143 4.143 17 C -0.129 4.129 18 C 0.170 3.830 19 N -0.591 5.591 20 C -0.251 4.251 21 H 0.065 0.935 22 C 0.002 3.998 23 N -0.904 5.904 24 Si 0.902 3.098 25 H -0.287 1.287 26 H -0.292 1.292 27 H -0.279 1.279 28 C 0.146 3.854 29 C -0.117 4.117 30 H 0.038 0.962 31 H 0.080 0.920 32 H 0.043 0.957 33 H 0.071 0.929 34 H 0.044 0.956 35 H 0.060 0.940 36 H 0.065 0.935 37 H 0.411 0.589 38 H 0.068 0.932 39 H 0.099 0.901 40 H 0.070 0.930 41 H 0.060 0.940 42 H 0.067 0.933 43 H 0.102 0.898 44 H 0.079 0.921 45 H 0.053 0.947 46 H 0.066 0.934 47 H 0.019 0.981 48 H 0.090 0.910 49 H 0.254 0.746 50 H 0.052 0.948 51 H 0.019 0.981 52 H 0.055 0.945 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.872 -17.505 -11.496 21.750 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 -0.063 4.063 2 O -0.317 6.317 3 C -0.006 4.006 4 C -0.057 4.057 5 C 0.009 3.991 6 N -0.364 5.364 7 C 0.302 3.698 8 O -0.427 6.427 9 C -0.168 4.168 10 H 0.126 0.874 11 C -0.020 4.020 12 O -0.287 6.287 13 C 0.013 3.987 14 H 0.085 0.915 15 C -0.204 4.204 16 C -0.181 4.181 17 C -0.169 4.169 18 C 0.044 3.956 19 N -0.314 5.314 20 C -0.380 4.380 21 H 0.083 0.917 22 C -0.196 4.196 23 N -0.548 5.548 24 Si 0.732 3.268 25 H -0.214 1.214 26 H -0.218 1.218 27 H -0.205 1.205 28 C 0.020 3.980 29 C -0.157 4.157 30 H 0.056 0.944 31 H 0.099 0.901 32 H 0.062 0.938 33 H 0.089 0.911 34 H 0.062 0.938 35 H 0.079 0.921 36 H 0.083 0.917 37 H 0.253 0.747 38 H 0.086 0.914 39 H 0.118 0.882 40 H 0.088 0.912 41 H 0.080 0.920 42 H 0.086 0.914 43 H 0.120 0.880 44 H 0.097 0.903 45 H 0.072 0.928 46 H 0.084 0.916 47 H 0.037 0.963 48 H 0.108 0.892 49 H 0.064 0.936 50 H 0.071 0.929 51 H 0.036 0.964 52 H 0.074 0.926 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -5.447 -17.108 -12.194 21.704 hybrid contribution 0.271 0.527 1.105 1.254 sum -5.176 -16.581 -11.089 20.608 Atomic orbital electron populations 1.22689 0.81308 1.02131 1.00188 1.87441 1.19404 1.29364 1.95464 1.22790 0.93070 0.83643 1.01075 1.20787 0.93013 0.97265 0.94602 1.21437 0.97757 0.82198 0.97729 1.46287 1.50270 1.14628 1.25234 1.20204 0.81077 0.86475 0.82059 1.90645 1.38295 1.77589 1.36154 1.22677 0.97520 0.95184 1.01420 0.87389 1.23378 0.92114 1.03030 0.83504 1.89168 1.59616 1.57922 1.22020 1.23015 0.88571 0.91454 0.95674 0.91452 1.21791 1.02065 1.03208 0.93303 1.23065 0.98767 1.00474 0.95781 1.22204 1.00677 0.93280 1.00759 1.20806 0.97313 0.95049 0.82392 1.44035 1.63545 1.07940 1.15899 1.19195 1.20091 0.91206 1.07540 0.91688 1.25019 0.97601 0.97753 0.99273 1.70017 1.30759 1.06110 1.47958 0.86294 0.81452 0.78978 0.80071 1.21440 1.21812 1.20475 1.20828 0.95949 0.86553 0.94687 1.21922 1.00674 0.97725 0.95339 0.94354 0.90110 0.93841 0.91085 0.93787 0.92119 0.91712 0.74719 0.91354 0.88240 0.91157 0.92043 0.91435 0.87980 0.90272 0.92806 0.91569 0.96272 0.89224 0.93640 0.92947 0.96355 0.92628 0.92212 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.34 11.01 101.05 1.11 1.45 16 2 O -0.40 -5.01 6.77 -35.23 -0.24 -5.24 16 3 C 0.07 1.03 4.04 37.16 0.15 1.18 16 4 C -0.06 -0.87 0.51 -154.47 -0.08 -0.95 16 5 C 0.13 1.97 4.56 -4.04 -0.02 1.95 16 6 N -0.71 -9.42 4.42 -60.30 -0.27 -9.69 16 7 C 0.52 7.20 7.07 -10.99 -0.08 7.13 16 8 O -0.55 -9.63 15.28 5.56 0.08 -9.54 16 9 C -0.15 -1.50 3.51 -90.20 -0.32 -1.82 16 10 H 0.11 0.87 8.14 -51.93 -0.42 0.44 16 11 C 0.06 0.56 7.17 37.94 0.27 0.83 16 12 O -0.37 -4.40 11.34 -35.23 -0.40 -4.80 16 13 C 0.07 0.67 3.92 -25.95 -0.10 0.56 16 14 H 0.07 0.52 8.14 -51.93 -0.42 0.09 16 15 C -0.15 -1.26 9.52 37.16 0.35 -0.90 16 16 C -0.14 -1.41 6.22 -25.16 -0.16 -1.57 16 17 C -0.13 -2.30 4.91 -26.61 -0.13 -2.43 16 18 C 0.17 3.79 4.84 -3.71 -0.02 3.78 16 19 N -0.59 -14.02 3.00 -172.59 -0.52 -14.54 16 20 C -0.25 -6.66 9.58 -15.06 -0.14 -6.81 16 21 H 0.07 1.71 7.89 -52.48 -0.41 1.30 16 22 C 0.00 0.05 4.92 -17.43 -0.09 -0.03 16 23 N -0.90 -25.47 11.18 55.49 0.62 -24.85 16 24 Si 0.90 21.34 29.59 -169.99 -5.03 16.32 16 25 H -0.29 -6.81 7.11 56.52 0.40 -6.41 16 26 H -0.29 -6.99 7.11 56.52 0.40 -6.59 16 27 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 28 C 0.15 2.89 6.02 -3.93 -0.02 2.86 16 29 C -0.12 -1.92 4.57 -26.83 -0.12 -2.04 16 30 H 0.04 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.08 0.64 8.14 -51.93 -0.42 0.21 16 32 H 0.04 0.45 8.14 -51.93 -0.42 0.03 16 33 H 0.07 1.21 4.99 -51.93 -0.26 0.95 16 34 H 0.04 0.63 8.14 -51.93 -0.42 0.21 16 35 H 0.06 0.94 8.14 -51.93 -0.42 0.52 16 36 H 0.06 1.02 8.14 -51.93 -0.42 0.60 16 37 H 0.41 5.02 4.69 -40.82 -0.19 4.83 16 38 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 39 H 0.10 1.01 7.72 -51.93 -0.40 0.61 16 40 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 41 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 42 H 0.07 0.68 8.14 -51.93 -0.42 0.26 16 43 H 0.10 1.25 6.23 -51.93 -0.32 0.93 16 44 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 45 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 46 H 0.07 1.22 8.14 -51.93 -0.42 0.80 16 47 H 0.02 0.44 6.69 -51.93 -0.35 0.10 16 48 H 0.09 2.29 6.04 -51.93 -0.31 1.98 16 49 H 0.25 6.95 8.31 -40.82 -0.34 6.61 16 50 H 0.05 1.04 7.93 -51.93 -0.41 0.63 16 51 H 0.02 0.37 6.70 -51.93 -0.35 0.02 16 52 H 0.06 0.81 6.49 -51.93 -0.34 0.47 16 53 H 0.06 1.04 8.14 -51.93 -0.42 0.61 16 LS Contribution 399.23 15.07 6.02 6.02 Total: -1.00 -30.89 399.23 -8.36 -39.26 By element: Atomic # 1 Polarization: 13.13 SS G_CDS: -9.25 Total: 3.88 kcal Atomic # 6 Polarization: 2.58 SS G_CDS: 0.61 Total: 3.19 kcal Atomic # 7 Polarization: -48.91 SS G_CDS: -0.16 Total: -49.08 kcal Atomic # 8 Polarization: -19.04 SS G_CDS: -0.55 Total: -19.59 kcal Atomic # 14 Polarization: 21.34 SS G_CDS: -5.03 Total: 16.32 kcal Total LS contribution 6.02 Total: 6.02 kcal Total: -30.89 -8.36 -39.26 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. ZINC001162335889.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 -70.522 kcal (2) G-P(sol) polarization free energy of solvation -30.894 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.416 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.363 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.258 kcal (6) G-S(sol) free energy of system = (1) + (5) -109.780 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds