Wall clock time and date at job start Tue Mar 31 2020 20:32:34 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 1.31004 * 1 3 3 C 1.50698 * 119.99964 * 2 1 4 4 C 1.53003 * 109.47427 * 130.03874 * 3 2 1 5 5 C 1.53003 * 109.47228 * 250.04056 * 3 2 1 6 6 C 1.53005 * 109.46926 * 299.99925 * 5 3 2 7 7 O 1.42894 * 109.46898 * 179.97438 * 6 5 3 8 8 C 1.42907 * 114.00003 * 180.02562 * 7 6 5 9 9 C 1.50702 * 109.47056 * 10.03956 * 3 2 1 10 10 O 1.21285 * 119.99804 * 240.43181 * 9 3 2 11 11 N 1.34773 * 120.00333 * 60.15878 * 9 3 2 12 12 C 1.47175 * 125.58747 * 355.53862 * 11 9 3 13 13 C 1.54662 * 107.34525 * 180.88123 * 12 11 9 14 14 C 1.53302 * 102.72108 * 20.50471 * 13 12 11 15 15 C 1.53312 * 112.22222 * 88.17406 * 14 13 12 16 16 C 1.54662 * 102.71832 * 155.00569 * 15 14 13 17 17 N 1.47168 * 107.34993 * 339.49275 * 16 15 14 18 18 C 1.36939 * 125.59284 * 179.12420 * 17 16 15 19 19 H 1.07998 * 119.99971 * 179.97438 * 18 17 16 20 20 C 1.38802 * 120.00095 * 359.97171 * 18 17 16 21 21 N 1.31623 * 119.99963 * 0.02562 * 20 18 17 22 22 Si 1.86801 * 120.00134 * 180.02562 * 20 18 17 23 23 H 1.48490 * 109.47376 * 59.99823 * 22 20 18 24 24 H 1.48503 * 109.47379 * 180.02562 * 22 20 18 25 25 H 1.48503 * 109.46894 * 299.99800 * 22 20 18 26 26 C 1.47792 * 108.81497 * 359.10056 * 17 16 15 27 27 C 1.47784 * 125.59758 * 175.22199 * 11 9 3 28 28 H 1.07996 * 120.00022 * 359.97438 * 1 2 3 29 29 H 1.08004 * 119.99776 * 180.02562 * 1 2 3 30 30 H 1.07996 * 120.00022 * 180.02562 * 2 1 3 31 31 H 1.08997 * 109.46826 * 296.95681 * 4 3 2 32 32 H 1.09001 * 109.46893 * 56.95236 * 4 3 2 33 33 H 1.09000 * 109.47076 * 176.95477 * 4 3 2 34 34 H 1.08998 * 109.47062 * 59.99758 * 5 3 2 35 35 H 1.09000 * 109.47500 * 180.02562 * 5 3 2 36 36 H 1.08998 * 109.47113 * 299.99801 * 6 5 3 37 37 H 1.09000 * 109.46887 * 59.99802 * 6 5 3 38 38 H 1.08998 * 109.46699 * 299.99987 * 8 7 6 39 39 H 1.08997 * 109.46778 * 59.99843 * 8 7 6 40 40 H 1.08992 * 109.47204 * 179.97438 * 8 7 6 41 41 H 1.09001 * 109.86799 * 300.31527 * 12 11 9 42 42 H 1.08992 * 109.87213 * 61.30450 * 12 11 9 43 43 H 1.09007 * 110.76251 * 138.81260 * 13 12 11 44 44 H 1.09002 * 110.76360 * 262.01207 * 13 12 11 45 45 H 1.09007 * 110.76148 * 273.30953 * 15 14 13 46 46 H 1.08994 * 110.76279 * 36.51058 * 15 14 13 47 47 H 1.08999 * 109.86796 * 98.93474 * 16 15 14 48 48 H 1.09005 * 109.86819 * 219.91335 * 16 15 14 49 49 H 0.97008 * 119.99870 * 179.97438 * 21 20 18 50 50 H 1.09003 * 110.39815 * 263.37930 * 26 17 16 51 51 H 1.08992 * 110.40166 * 140.95763 * 26 17 16 52 52 H 1.08999 * 110.40010 * 276.64363 * 27 11 9 53 53 H 1.09003 * 110.39688 * 39.06002 * 27 11 9 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 2.0635 1.3051 0.0000 4 6 3.1222 1.2829 1.1044 5 6 2.7450 1.5006 -1.3559 6 6 3.7201 0.3487 -1.6073 7 8 4.3561 0.5310 -2.8739 8 6 5.2915 -0.4965 -3.2078 9 6 1.1030 2.4397 0.2477 10 8 0.9703 3.3140 -0.5824 11 7 0.3875 2.4799 1.3891 12 6 0.3771 1.4401 2.4306 13 6 -0.5997 1.9045 3.5361 14 6 -1.4726 2.9314 2.8057 15 6 -2.6837 2.2833 2.1248 16 6 -3.6960 3.4501 2.0481 17 7 -3.2917 4.4485 3.0509 18 6 -3.9221 5.6409 3.2875 19 1 -3.5468 6.3084 4.0491 20 6 -5.0433 5.9919 2.5484 21 7 -5.5010 5.1783 1.6205 22 14 -5.9028 7.6188 2.8706 23 1 -4.9533 8.7357 2.6340 24 1 -7.0650 7.7544 1.9561 25 1 -6.3739 7.6594 4.2783 26 6 -2.0941 3.9529 3.7611 27 6 -0.5103 3.5783 1.8033 28 1 -0.5400 0.9353 0.0004 29 1 -0.5400 -0.9354 0.0004 30 1 1.8500 -0.9353 -0.0004 31 1 2.6332 1.1979 2.0748 32 1 3.7847 0.4301 0.9555 33 1 3.7029 2.2046 1.0696 34 1 1.9908 1.5165 -2.1426 35 1 3.2904 2.4443 -1.3558 36 1 4.4743 0.3328 -0.8206 37 1 3.1751 -0.5953 -1.6073 38 1 6.0786 -0.5301 -2.4545 39 1 4.7788 -1.4578 -3.2407 40 1 5.7302 -0.2856 -4.1830 41 1 0.0356 0.4954 2.0074 42 1 1.3783 1.3202 2.8444 43 1 -1.2026 1.0700 3.8945 44 1 -0.0581 2.3696 4.3598 45 1 -2.4233 1.9315 1.1265 46 1 -3.0762 1.4666 2.7305 47 1 -3.6743 3.8945 1.0531 48 1 -4.6992 3.0853 2.2690 49 1 -6.2849 5.4234 1.1042 50 1 -2.3792 3.4729 4.6974 51 1 -1.3981 4.7704 3.9486 52 1 0.0598 4.3756 2.2802 53 1 -1.0598 3.9640 0.9446 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 ZINC001733295018.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 20:32:34 Heat of formation + Delta-G solvation = -19.126574 kcal Electronic energy + Delta-G solvation = -31051.823912 eV Core-core repulsion = 27118.488314 eV Total energy + Delta-G solvation = -3933.335598 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.20 seconds Orbital eigenvalues (eV) -40.97948 -39.00661 -38.03503 -36.21704 -35.65561 -32.71305 -31.90800 -30.61107 -29.52285 -29.01943 -28.24953 -26.62463 -25.97666 -24.93678 -23.85922 -22.52398 -21.93780 -20.77351 -20.23657 -18.91079 -18.10234 -17.06215 -16.74165 -16.67063 -16.30250 -16.02458 -15.39568 -15.08919 -14.77944 -14.65463 -14.43129 -13.98284 -13.87008 -13.66462 -13.45080 -13.22218 -12.93957 -12.68330 -12.51128 -12.28955 -12.18622 -11.98409 -11.88106 -11.76392 -11.69851 -11.62110 -11.20480 -11.12074 -11.00567 -10.87112 -10.82120 -10.72475 -10.25431 -10.07063 -9.92084 -9.89757 -9.73640 -9.63392 -9.55111 -9.37905 -8.56503 -8.42680 -6.80453 -5.67665 -3.01338 2.01345 2.70476 2.97553 3.43286 3.47507 3.48808 3.55365 4.26200 4.48739 4.51994 4.68911 4.70415 4.76065 4.87559 4.89760 4.98754 5.02982 5.05116 5.11485 5.15435 5.21086 5.24294 5.35103 5.39508 5.45264 5.50434 5.55397 5.59664 5.73654 5.80093 5.87628 5.90909 5.95412 5.98583 6.05234 6.11558 6.16245 6.21617 6.33606 6.35365 6.39559 6.47765 6.54216 6.62036 6.74207 6.81094 6.88966 7.58403 7.65018 7.65490 7.85952 8.26039 8.28593 9.24944 9.85163 10.50848 11.43820 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.021928 B = 0.002613 C = 0.002508 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1276.582871 B =10713.559145 C =11160.347268 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.175 4.175 2 C -0.160 4.160 3 C -0.041 4.041 4 C -0.152 4.152 5 C -0.090 4.090 6 C 0.062 3.938 7 O -0.391 6.391 8 C 0.032 3.968 9 C 0.538 3.462 10 O -0.535 6.535 11 N -0.612 5.612 12 C 0.086 3.914 13 C -0.118 4.118 14 C -0.082 4.082 15 C -0.128 4.128 16 C 0.179 3.821 17 N -0.605 5.605 18 C -0.228 4.228 19 H 0.077 0.923 20 C -0.008 4.008 21 N -0.922 5.922 22 Si 0.911 3.089 23 H -0.285 1.285 24 H -0.291 1.291 25 H -0.286 1.286 26 C 0.152 3.848 27 C 0.129 3.871 28 H 0.107 0.893 29 H 0.105 0.895 30 H 0.119 0.881 31 H 0.075 0.925 32 H 0.068 0.932 33 H 0.064 0.936 34 H 0.080 0.920 35 H 0.080 0.920 36 H 0.052 0.948 37 H 0.051 0.949 38 H 0.040 0.960 39 H 0.040 0.960 40 H 0.085 0.915 41 H 0.080 0.920 42 H 0.071 0.929 43 H 0.081 0.919 44 H 0.075 0.925 45 H 0.058 0.942 46 H 0.059 0.941 47 H 0.045 0.955 48 H 0.042 0.958 49 H 0.252 0.748 50 H 0.024 0.976 51 H 0.040 0.960 52 H 0.066 0.934 53 H 0.085 0.915 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 19.726 -16.458 -1.014 25.710 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 -0.212 4.212 2 C -0.178 4.178 3 C -0.045 4.045 4 C -0.209 4.209 5 C -0.128 4.128 6 C -0.015 4.015 7 O -0.310 6.310 8 C -0.065 4.065 9 C 0.326 3.674 10 O -0.411 6.411 11 N -0.346 5.346 12 C -0.036 4.036 13 C -0.156 4.156 14 C -0.083 4.083 15 C -0.166 4.166 16 C 0.054 3.946 17 N -0.332 5.332 18 C -0.357 4.357 19 H 0.095 0.905 20 C -0.204 4.204 21 N -0.569 5.569 22 Si 0.742 3.258 23 H -0.212 1.212 24 H -0.216 1.216 25 H -0.212 1.212 26 C 0.025 3.975 27 C 0.008 3.992 28 H 0.125 0.875 29 H 0.124 0.876 30 H 0.137 0.863 31 H 0.094 0.906 32 H 0.087 0.913 33 H 0.083 0.917 34 H 0.099 0.901 35 H 0.098 0.902 36 H 0.070 0.930 37 H 0.069 0.931 38 H 0.058 0.942 39 H 0.059 0.941 40 H 0.103 0.897 41 H 0.098 0.902 42 H 0.089 0.911 43 H 0.100 0.900 44 H 0.093 0.907 45 H 0.077 0.923 46 H 0.078 0.922 47 H 0.063 0.937 48 H 0.060 0.940 49 H 0.063 0.937 50 H 0.042 0.958 51 H 0.058 0.942 52 H 0.084 0.916 53 H 0.103 0.897 Dipole moment (debyes) X Y Z Total from point charges 19.457 -15.695 -1.750 25.060 hybrid contribution -0.459 0.496 0.344 0.758 sum 18.998 -15.200 -1.406 24.371 Atomic orbital electron populations 1.24196 0.96120 1.03152 0.97684 1.22631 0.95760 0.96507 1.02907 1.19800 0.95166 0.92380 0.97109 1.22143 0.97797 1.02888 0.98095 1.21264 0.98077 0.98462 0.95004 1.22652 0.95080 0.98524 0.85203 1.87896 1.57986 1.47976 1.37144 1.22730 0.91919 0.90864 1.00955 1.19883 0.80513 0.86696 0.80339 1.90741 1.66359 1.40189 1.43808 1.48667 1.44837 1.21774 1.19325 1.22683 0.99794 0.92232 0.88911 1.22434 0.97091 0.99289 0.96830 1.21606 0.94532 0.96100 0.96093 1.22648 0.95698 0.99195 0.99083 1.21214 0.93903 0.85943 0.93506 1.44576 1.29265 1.18881 1.40442 1.18986 1.07042 0.93542 1.16105 0.90537 1.24795 0.98539 0.98591 0.98498 1.69957 1.25703 1.36092 1.25146 0.86207 0.79015 0.83307 0.77271 1.21173 1.21644 1.21235 1.21211 0.89462 0.93661 0.93153 1.22010 0.90148 0.88529 0.98509 0.87499 0.87624 0.86314 0.90648 0.91310 0.91712 0.90148 0.90153 0.93033 0.93071 0.94164 0.94145 0.89660 0.90228 0.91134 0.89995 0.90681 0.92328 0.92189 0.93676 0.93976 0.93733 0.95843 0.94224 0.91582 0.89709 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.82 10.93 29.01 0.32 -1.50 16 2 C -0.16 -1.47 6.85 -36.03 -0.25 -1.72 16 3 C -0.04 -0.45 0.51 -156.81 -0.08 -0.53 16 4 C -0.15 -1.27 7.88 37.16 0.29 -0.98 16 5 C -0.09 -1.04 3.92 -26.73 -0.10 -1.15 16 6 C 0.06 0.57 5.34 37.16 0.20 0.76 16 7 O -0.39 -4.23 10.70 -35.23 -0.38 -4.61 16 8 C 0.03 0.22 11.01 101.05 1.11 1.34 16 9 C 0.54 8.08 5.12 -10.99 -0.06 8.02 16 10 O -0.53 -10.41 16.24 5.55 0.09 -10.32 16 11 N -0.61 -8.63 2.55 -170.91 -0.44 -9.07 16 12 C 0.09 0.93 5.28 -2.80 -0.01 0.91 16 13 C -0.12 -1.39 5.97 -25.70 -0.15 -1.55 16 14 C -0.08 -1.32 0.62 -154.02 -0.10 -1.42 16 15 C -0.13 -2.30 5.92 -25.70 -0.15 -2.46 16 16 C 0.18 4.32 5.38 -2.80 -0.02 4.30 16 17 N -0.60 -15.22 3.41 -170.60 -0.58 -15.80 16 18 C -0.23 -6.36 10.28 -15.06 -0.15 -6.52 16 19 H 0.08 2.05 7.83 -52.49 -0.41 1.64 16 20 C -0.01 -0.23 5.49 -17.43 -0.10 -0.32 16 21 N -0.92 -27.39 10.30 55.49 0.57 -26.81 16 22 Si 0.91 22.40 29.55 -169.99 -5.02 17.38 16 23 H -0.29 -6.94 7.11 56.52 0.40 -6.53 16 24 H -0.29 -7.22 7.11 56.52 0.40 -6.81 16 25 H -0.29 -6.88 7.11 56.52 0.40 -6.48 16 26 C 0.15 2.98 6.28 -3.31 -0.02 2.96 16 27 C 0.13 2.21 5.89 -3.20 -0.02 2.19 16 28 H 0.11 1.45 5.70 -52.49 -0.30 1.15 16 29 H 0.11 0.90 8.06 -52.48 -0.42 0.48 16 30 H 0.12 0.81 7.42 -52.49 -0.39 0.42 16 31 H 0.07 0.59 4.53 -51.93 -0.24 0.36 16 32 H 0.07 0.43 6.60 -51.93 -0.34 0.09 16 33 H 0.06 0.58 8.14 -51.93 -0.42 0.15 16 34 H 0.08 1.09 8.09 -51.93 -0.42 0.67 16 35 H 0.08 1.03 8.10 -51.93 -0.42 0.61 16 36 H 0.05 0.39 6.50 -51.93 -0.34 0.05 16 37 H 0.05 0.41 6.83 -51.93 -0.35 0.05 16 38 H 0.04 0.23 8.14 -51.93 -0.42 -0.19 16 39 H 0.04 0.24 8.14 -51.93 -0.42 -0.18 16 40 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 41 H 0.08 0.79 4.84 -51.93 -0.25 0.54 16 42 H 0.07 0.62 5.26 -51.93 -0.27 0.35 16 43 H 0.08 0.88 7.78 -51.92 -0.40 0.47 16 44 H 0.07 0.81 8.08 -51.93 -0.42 0.39 16 45 H 0.06 1.02 8.01 -51.93 -0.42 0.61 16 46 H 0.06 0.99 7.82 -51.93 -0.41 0.58 16 47 H 0.05 1.24 7.39 -51.93 -0.38 0.85 16 48 H 0.04 1.13 7.49 -51.93 -0.39 0.74 16 49 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 50 H 0.02 0.46 8.07 -51.93 -0.42 0.04 16 51 H 0.04 0.77 7.80 -51.93 -0.41 0.36 16 52 H 0.07 1.13 7.85 -51.93 -0.41 0.72 16 53 H 0.08 1.75 7.91 -51.93 -0.41 1.34 16 LS Contribution 395.58 15.07 5.96 5.96 Total: -1.00 -33.28 395.58 -8.13 -41.41 By element: Atomic # 1 Polarization: 8.57 SS G_CDS: -9.04 Total: -0.48 kcal Atomic # 6 Polarization: 1.63 SS G_CDS: 0.71 Total: 2.35 kcal Atomic # 7 Polarization: -51.23 SS G_CDS: -0.45 Total: -51.68 kcal Atomic # 8 Polarization: -14.65 SS G_CDS: -0.29 Total: -14.93 kcal Atomic # 14 Polarization: 22.40 SS G_CDS: -5.02 Total: 17.38 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -33.28 -8.13 -41.41 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. ZINC001733295018.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 22.279 kcal (2) G-P(sol) polarization free energy of solvation -33.278 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -10.999 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.127 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.405 kcal (6) G-S(sol) free energy of system = (1) + (5) -19.127 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.20 seconds