Wall clock time and date at job start Sat Apr 11 2020 04:52:30 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 1.30996 * 1 3 3 C 1.50698 * 119.99842 * 2 1 4 4 C 1.52999 * 109.47151 * 125.00261 * 3 2 1 5 5 C 1.50704 * 109.47090 * 300.00085 * 4 3 2 6 6 O 1.21280 * 119.99937 * 239.99817 * 5 4 3 7 7 N 1.34769 * 119.99877 * 59.99945 * 5 4 3 8 8 C 1.46504 * 120.00029 * 180.02562 * 7 5 4 9 9 H 1.09003 * 109.45810 * 324.97008 * 8 7 5 10 10 C 1.53037 * 109.46026 * 84.93087 * 8 7 5 11 11 C 1.53198 * 109.31124 * 181.38924 * 10 8 7 12 12 N 1.46924 * 108.77285 * 305.36331 * 11 10 8 13 13 C 1.36937 * 120.63097 * 233.62955 * 12 11 10 14 14 H 1.07999 * 120.00134 * 152.59677 * 13 12 11 15 15 C 1.38810 * 120.00051 * 332.60670 * 13 12 11 16 16 N 1.31620 * 120.00446 * 159.35861 * 15 13 12 17 17 Si 1.86803 * 119.99938 * 339.35855 * 15 13 12 18 18 H 1.48494 * 109.47624 * 92.90025 * 17 15 13 19 19 H 1.48501 * 109.47137 * 212.90555 * 17 15 13 20 20 H 1.48502 * 109.46956 * 332.90173 * 17 15 13 21 21 C 1.46928 * 118.73842 * 53.60828 * 12 11 10 22 22 C 1.53042 * 109.46036 * 205.00083 * 8 7 5 23 23 H 1.09006 * 109.49575 * 298.56306 * 22 8 7 24 24 O 1.42898 * 109.50044 * 58.62676 * 22 8 7 25 25 C 1.53003 * 109.47176 * 59.99980 * 4 3 2 26 26 C 1.52999 * 109.47176 * 180.02562 * 25 4 3 27 27 C 1.52994 * 109.47012 * 300.00070 * 26 25 4 28 28 C 1.53001 * 109.47450 * 60.00442 * 27 26 25 29 29 C 1.53003 * 109.47151 * 180.02562 * 4 3 2 30 30 H 1.07997 * 120.00365 * 359.97438 * 1 2 3 31 31 H 1.07997 * 119.99857 * 179.97438 * 1 2 3 32 32 H 1.08000 * 119.99906 * 180.02562 * 2 1 3 33 33 H 1.08996 * 109.47595 * 5.00226 * 3 2 1 34 34 H 1.09003 * 109.47153 * 245.00351 * 3 2 1 35 35 H 0.97005 * 120.00639 * 359.97438 * 7 5 4 36 36 H 1.08999 * 109.49656 * 301.33536 * 10 8 7 37 37 H 1.08997 * 109.50115 * 61.43340 * 10 8 7 38 38 H 1.08994 * 109.58670 * 185.57678 * 11 10 8 39 39 H 1.08998 * 109.70285 * 65.21641 * 11 10 8 40 40 H 0.97003 * 120.00012 * 179.97438 * 16 15 13 41 41 H 1.09004 * 109.58585 * 186.60196 * 21 12 11 42 42 H 1.08996 * 109.58500 * 66.18670 * 21 12 11 43 43 H 0.96694 * 114.00187 * 179.97438 * 24 22 8 44 44 H 1.09003 * 109.46989 * 59.99995 * 25 4 3 45 45 H 1.09002 * 109.47118 * 300.00683 * 25 4 3 46 46 H 1.09005 * 109.46841 * 179.97438 * 26 25 4 47 47 H 1.09003 * 109.47166 * 60.00103 * 26 25 4 48 48 H 1.09001 * 109.46821 * 179.97438 * 27 26 25 49 49 H 1.08997 * 109.47603 * 299.99479 * 27 26 25 50 50 H 1.08989 * 109.47277 * 59.99591 * 28 27 26 51 51 H 1.08997 * 109.47080 * 180.02562 * 28 27 26 52 52 H 1.08994 * 109.47194 * 59.99714 * 29 4 3 53 53 H 1.08996 * 109.46995 * 299.99652 * 29 4 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 6 1.3100 0.0000 0.0000 3 6 2.0634 1.3051 0.0000 4 6 3.0350 1.3331 1.1816 5 6 2.2638 1.1982 2.4693 6 8 2.3205 2.0755 3.3048 7 7 1.5113 0.1027 2.6925 8 6 0.7611 -0.0282 3.9441 9 1 1.3321 0.4187 4.7580 10 6 -0.5834 0.6904 3.8102 11 6 -1.3500 0.5811 5.1321 12 7 -1.4579 -0.8371 5.5002 13 6 -2.6777 -1.3962 5.7735 14 1 -2.8367 -2.4518 5.6098 15 6 -3.7098 -0.6062 6.2607 16 7 -4.9576 -1.0088 6.1452 17 14 -3.3279 1.0284 7.0803 18 1 -3.3886 2.1149 6.0699 19 1 -4.3242 1.2906 8.1498 20 1 -1.9671 0.9790 7.6729 21 6 -0.2321 -1.6443 5.5692 22 6 0.5220 -1.5100 4.2426 23 1 -0.0703 -1.9516 3.4411 24 8 1.7773 -2.1864 4.3363 25 6 4.0245 0.1729 1.0558 26 6 4.9957 0.2005 2.2377 27 6 5.7607 1.5255 2.2383 28 6 4.7712 2.6857 2.3642 29 6 3.7995 2.6584 1.1819 30 1 -0.5400 0.9352 0.0004 31 1 -0.5400 -0.9353 -0.0004 32 1 1.8499 -0.9353 -0.0004 33 1 1.3586 2.1316 0.0896 34 1 2.6212 1.4027 -0.9314 35 1 1.4656 -0.5988 2.0241 36 1 -0.4126 1.7408 3.5746 37 1 -1.1652 0.2282 3.0129 38 1 -2.3473 1.0043 5.0121 39 1 -0.8151 1.1217 5.9129 40 1 -5.6788 -0.4568 6.4861 41 1 -0.4918 -2.6894 5.7378 42 1 0.3961 -1.2857 6.3846 43 1 1.7016 -3.1317 4.5247 44 1 4.5823 0.2705 0.1244 45 1 3.4795 -0.7711 1.0557 46 1 5.7004 -0.6263 2.1483 47 1 4.4376 0.1027 3.1689 48 1 6.4522 1.5453 3.0806 49 1 6.3188 1.6233 1.3072 50 1 4.2132 2.5879 3.2953 51 1 5.3162 3.6296 2.3642 52 1 3.0943 3.4846 1.2717 53 1 4.3572 2.7564 0.2506 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001100122497.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 04:52:30 Heat of formation + Delta-G solvation = -58.372485 kcal Electronic energy + Delta-G solvation = -32212.877761 eV Core-core repulsion = 28277.840333 eV Total energy + Delta-G solvation = -3935.037428 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -41.00481 -38.73873 -37.01644 -35.64025 -35.58244 -34.08786 -32.04470 -31.46304 -30.86969 -30.03816 -29.10189 -26.25275 -25.31899 -23.21997 -22.87568 -22.71594 -21.66997 -20.78238 -20.09482 -19.68877 -19.02273 -17.20931 -16.70800 -16.34652 -16.18027 -15.82027 -15.29381 -14.83259 -14.64673 -14.51441 -14.27404 -13.97115 -13.89783 -13.73073 -13.56765 -13.26268 -12.88324 -12.71231 -12.47071 -12.40710 -12.22778 -12.15228 -12.05472 -11.94376 -11.61813 -11.52898 -11.28803 -11.21414 -11.11285 -10.99680 -10.68107 -10.28294 -10.20277 -10.11236 -10.10021 -9.91835 -9.86197 -9.54614 -9.43157 -9.23721 -8.67246 -8.59940 -7.07282 -6.01232 -3.38837 2.08987 2.88815 3.31152 3.39360 3.47579 3.51304 4.30339 4.37843 4.48926 4.55371 4.58281 4.85047 4.86241 4.92194 5.02581 5.09217 5.16279 5.18337 5.28979 5.33260 5.36419 5.41652 5.43188 5.46147 5.52299 5.58620 5.69661 5.74538 5.77578 5.80742 5.82869 5.85305 5.90220 6.06754 6.07604 6.14121 6.19388 6.22923 6.26598 6.31828 6.41544 6.46034 6.52070 6.54249 6.58402 6.59359 6.81774 6.85121 7.76650 7.80040 7.91222 8.25028 8.51420 8.84937 9.64453 10.00122 11.14191 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016461 B = 0.003605 C = 0.003571 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1700.539995 B = 7764.371231 C = 7840.103726 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.170 4.170 2 C -0.178 4.178 3 C -0.081 4.081 4 C -0.071 4.071 5 C 0.527 3.473 6 O -0.542 6.542 7 N -0.710 5.710 8 C 0.162 3.838 9 H 0.086 0.914 10 C -0.138 4.138 11 C 0.126 3.874 12 N -0.601 5.601 13 C -0.266 4.266 14 H 0.086 0.914 15 C 0.028 3.972 16 N -0.906 5.906 17 Si 0.881 3.119 18 H -0.287 1.287 19 H -0.302 1.302 20 H -0.269 1.269 21 C 0.124 3.876 22 C 0.080 3.920 23 H 0.059 0.941 24 O -0.569 6.569 25 C -0.104 4.104 26 C -0.123 4.123 27 C -0.117 4.117 28 C -0.134 4.134 29 C -0.091 4.091 30 H 0.098 0.902 31 H 0.101 0.899 32 H 0.113 0.887 33 H 0.072 0.928 34 H 0.081 0.919 35 H 0.397 0.603 36 H 0.065 0.935 37 H 0.068 0.932 38 H 0.077 0.923 39 H 0.030 0.970 40 H 0.264 0.736 41 H 0.069 0.931 42 H 0.033 0.967 43 H 0.375 0.625 44 H 0.071 0.929 45 H 0.067 0.933 46 H 0.062 0.938 47 H 0.066 0.934 48 H 0.058 0.942 49 H 0.056 0.944 50 H 0.094 0.906 51 H 0.055 0.945 52 H 0.067 0.933 53 H 0.063 0.937 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 18.772 1.625 -14.017 23.484 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 -0.207 4.207 2 C -0.196 4.196 3 C -0.118 4.118 4 C -0.075 4.075 5 C 0.313 3.687 6 O -0.420 6.420 7 N -0.362 5.362 8 C 0.057 3.943 9 H 0.104 0.896 10 C -0.178 4.178 11 C 0.000 4.000 12 N -0.326 5.326 13 C -0.393 4.393 14 H 0.104 0.896 15 C -0.172 4.172 16 N -0.548 5.548 17 Si 0.711 3.289 18 H -0.215 1.215 19 H -0.230 1.230 20 H -0.194 1.194 21 C -0.003 4.003 22 C 0.019 3.981 23 H 0.077 0.923 24 O -0.373 6.373 25 C -0.142 4.142 26 C -0.160 4.160 27 C -0.155 4.155 28 C -0.172 4.172 29 C -0.128 4.128 30 H 0.116 0.884 31 H 0.119 0.881 32 H 0.130 0.870 33 H 0.091 0.909 34 H 0.100 0.900 35 H 0.235 0.765 36 H 0.084 0.916 37 H 0.086 0.914 38 H 0.095 0.905 39 H 0.047 0.953 40 H 0.073 0.927 41 H 0.087 0.913 42 H 0.051 0.949 43 H 0.221 0.779 44 H 0.089 0.911 45 H 0.086 0.914 46 H 0.081 0.919 47 H 0.085 0.915 48 H 0.077 0.923 49 H 0.075 0.925 50 H 0.112 0.888 51 H 0.074 0.926 52 H 0.085 0.915 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges 18.851 2.847 -13.486 23.352 hybrid contribution -0.300 -0.033 0.281 0.413 sum 18.551 2.814 -13.205 22.944 Atomic orbital electron populations 1.23979 0.95833 1.02451 0.98391 1.22907 0.96158 0.98377 1.02119 1.20784 0.97629 0.96080 0.97346 1.20868 0.95371 0.98101 0.93124 1.20287 0.78680 0.81745 0.87973 1.90607 1.63993 1.40486 1.46901 1.46332 1.47753 1.21676 1.20476 1.20888 0.92694 0.93972 0.86700 0.89601 1.22391 0.94956 0.99899 1.00565 1.21378 0.99288 0.86312 0.93015 1.44305 1.02879 1.05834 1.79614 1.18882 0.85789 0.95997 1.38682 0.89606 1.25249 0.95104 0.98052 0.98783 1.69827 0.98275 1.39126 1.47580 0.86992 0.77812 0.84461 0.79635 1.21457 1.22998 1.19442 1.21547 0.88322 0.96807 0.93635 1.22716 0.84228 0.91693 0.99425 0.92347 1.86479 1.30460 1.25573 1.94790 1.21616 0.96514 0.96837 0.99239 1.21559 0.98197 0.97478 0.98805 1.21527 0.97773 0.94965 1.01194 1.21809 0.97032 0.97429 1.00897 1.21350 0.97821 0.95065 0.98612 0.88405 0.88068 0.86953 0.90929 0.90022 0.76507 0.91619 0.91373 0.90466 0.95252 0.92650 0.91299 0.94907 0.77881 0.91057 0.91428 0.91940 0.91540 0.92338 0.92514 0.88808 0.92578 0.91454 0.91800 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 -0.17 -1.68 13.91 29.02 0.40 -1.28 16 2 C -0.18 -1.61 5.81 -36.03 -0.21 -1.82 16 3 C -0.08 -0.74 4.72 -27.88 -0.13 -0.87 16 4 C -0.07 -0.76 0.50 -155.66 -0.08 -0.84 16 5 C 0.53 7.56 4.89 -10.99 -0.05 7.51 16 6 O -0.54 -9.70 13.32 5.56 0.07 -9.63 16 7 N -0.71 -9.95 4.14 -53.76 -0.22 -10.17 16 8 C 0.16 2.73 2.12 -67.89 -0.14 2.58 16 9 H 0.09 1.66 7.58 -51.93 -0.39 1.27 16 10 C -0.14 -2.54 5.65 -26.61 -0.15 -2.69 16 11 C 0.13 2.78 4.21 -3.71 -0.02 2.77 16 12 N -0.60 -13.92 2.77 -172.32 -0.48 -14.40 16 13 C -0.27 -7.22 10.03 -15.06 -0.15 -7.37 16 14 H 0.09 2.46 8.06 -52.49 -0.42 2.04 16 15 C 0.03 0.79 5.23 -17.43 -0.09 0.69 16 16 N -0.91 -27.31 13.97 55.49 0.78 -26.53 16 17 Si 0.88 22.41 24.34 -169.99 -4.14 18.27 16 18 H -0.29 -7.09 6.62 56.52 0.37 -6.71 16 19 H -0.30 -7.80 7.11 56.52 0.40 -7.39 16 20 H -0.27 -6.82 6.64 56.52 0.38 -6.44 16 21 C 0.12 2.36 6.14 -3.71 -0.02 2.33 16 22 C 0.08 1.28 3.14 -26.61 -0.08 1.20 16 23 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 24 O -0.57 -7.83 13.16 -35.23 -0.46 -8.29 16 25 C -0.10 -0.96 4.38 -26.73 -0.12 -1.08 16 26 C -0.12 -1.27 5.70 -26.73 -0.15 -1.43 16 27 C -0.12 -1.16 5.92 -26.73 -0.16 -1.32 16 28 C -0.13 -1.54 5.63 -26.70 -0.15 -1.69 16 29 C -0.09 -0.96 4.38 -26.70 -0.12 -1.07 16 30 H 0.10 1.01 7.84 -52.49 -0.41 0.60 16 31 H 0.10 0.96 8.06 -52.49 -0.42 0.54 16 32 H 0.11 0.89 6.67 -52.49 -0.35 0.54 16 33 H 0.07 0.73 7.79 -51.93 -0.40 0.32 16 34 H 0.08 0.60 8.14 -51.93 -0.42 0.18 16 35 H 0.40 4.88 5.02 -40.82 -0.21 4.68 16 36 H 0.07 1.20 8.14 -51.93 -0.42 0.78 16 37 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 38 H 0.08 1.85 4.50 -51.93 -0.23 1.62 16 39 H 0.03 0.66 7.07 -51.93 -0.37 0.30 16 40 H 0.26 7.57 8.31 -40.82 -0.34 7.23 16 41 H 0.07 1.25 7.93 -51.93 -0.41 0.83 16 42 H 0.03 0.64 8.14 -51.93 -0.42 0.22 16 43 H 0.37 3.65 9.08 45.56 0.41 4.06 16 44 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 45 H 0.07 0.60 5.97 -51.93 -0.31 0.29 16 46 H 0.06 0.57 8.14 -51.93 -0.42 0.15 16 47 H 0.07 0.87 7.22 -51.93 -0.37 0.50 16 48 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 49 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 50 H 0.09 1.38 5.51 -51.94 -0.29 1.09 16 51 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 52 H 0.07 0.78 8.10 -51.93 -0.42 0.36 16 53 H 0.06 0.55 8.14 -51.93 -0.42 0.12 16 LS Contribution 388.70 15.07 5.86 5.86 Total: -1.00 -31.82 388.70 -8.46 -40.28 By element: Atomic # 1 Polarization: 17.43 SS G_CDS: -8.44 Total: 8.99 kcal Atomic # 6 Polarization: -2.96 SS G_CDS: -1.42 Total: -4.38 kcal Atomic # 7 Polarization: -51.17 SS G_CDS: 0.08 Total: -51.10 kcal Atomic # 8 Polarization: -17.53 SS G_CDS: -0.39 Total: -17.92 kcal Atomic # 14 Polarization: 22.41 SS G_CDS: -4.14 Total: 18.27 kcal Total LS contribution 5.86 Total: 5.86 kcal Total: -31.82 -8.46 -40.28 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. ZINC001100122497.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 -18.092 kcal (2) G-P(sol) polarization free energy of solvation -31.823 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -49.915 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.458 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.281 kcal (6) G-S(sol) free energy of system = (1) + (5) -58.372 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds