Wall clock time and date at job start Sat Apr 11 2020 06:11:19 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 1.42900 * 1 3 3 C 1.42900 * 114.00638 * 2 1 4 4 C 1.52999 * 109.47493 * 179.97438 * 3 2 1 5 5 C 1.52997 * 109.47317 * 300.00486 * 4 3 2 6 6 N 1.46505 * 109.47212 * 59.99649 * 5 4 3 7 7 C 1.34771 * 119.99622 * 179.97438 * 6 5 4 8 8 O 1.21584 * 120.00541 * 0.02562 * 7 6 5 9 9 N 1.34781 * 119.99489 * 180.02562 * 7 6 5 10 10 C 1.47023 * 125.64943 * 359.69259 * 9 7 6 11 11 C 1.54333 * 107.26279 * 178.84878 * 10 9 7 12 12 C 1.55152 * 103.02368 * 338.14260 * 11 10 9 13 13 O 1.42900 * 111.00509 * 277.23249 * 12 11 10 14 14 C 1.50710 * 111.03722 * 153.39547 * 12 11 10 15 15 H 1.07996 * 119.99882 * 6.32831 * 14 12 11 16 16 C 1.37874 * 119.99859 * 186.33385 * 14 12 11 17 17 N 1.31516 * 119.99950 * 359.97438 * 16 14 12 18 18 Si 1.86798 * 119.99890 * 179.97438 * 16 14 12 19 19 H 1.48507 * 109.47122 * 89.99938 * 18 16 14 20 20 H 1.48500 * 109.47293 * 209.99851 * 18 16 14 21 21 H 1.48502 * 109.47281 * 329.99870 * 18 16 14 22 22 C 1.47429 * 125.64459 * 180.02562 * 9 7 6 23 23 C 1.53006 * 109.46623 * 60.00305 * 4 3 2 24 24 C 1.53002 * 109.46977 * 179.97438 * 23 4 3 25 25 C 1.53000 * 109.47233 * 300.00464 * 24 23 4 26 26 C 1.52996 * 109.47328 * 59.99531 * 25 24 23 27 27 C 1.52992 * 109.46961 * 180.02562 * 4 3 2 28 28 H 1.09002 * 109.46973 * 300.00050 * 1 2 3 29 29 H 1.09003 * 109.46984 * 59.99589 * 1 2 3 30 30 H 1.08998 * 109.47433 * 179.97438 * 1 2 3 31 31 H 1.09002 * 109.46818 * 60.00039 * 3 2 1 32 32 H 1.09000 * 109.47144 * 300.00268 * 3 2 1 33 33 H 1.09002 * 109.47153 * 299.99641 * 5 4 3 34 34 H 1.09001 * 109.46832 * 179.97438 * 5 4 3 35 35 H 0.96996 * 119.99606 * 0.02562 * 6 5 4 36 36 H 1.08991 * 109.88407 * 298.39613 * 10 9 7 37 37 H 1.09001 * 109.88103 * 59.56133 * 10 9 7 38 38 H 1.09000 * 110.85265 * 219.67535 * 11 10 9 39 39 H 1.09004 * 110.51427 * 96.45697 * 11 10 9 40 40 H 0.96698 * 113.99899 * 173.64949 * 13 12 11 41 41 H 0.97008 * 119.99592 * 180.02562 * 17 16 14 42 42 H 1.08990 * 110.36777 * 322.93181 * 22 9 7 43 43 H 1.09001 * 110.36359 * 85.14761 * 22 9 7 44 44 H 1.08993 * 109.46955 * 300.00075 * 23 4 3 45 45 H 1.09000 * 109.47050 * 59.99904 * 23 4 3 46 46 H 1.08992 * 109.47063 * 180.02562 * 24 23 4 47 47 H 1.09004 * 109.46733 * 59.99806 * 24 23 4 48 48 H 1.09000 * 109.46968 * 299.99808 * 25 24 23 49 49 H 1.09001 * 109.47194 * 180.02562 * 25 24 23 50 50 H 1.08996 * 109.47261 * 179.97438 * 26 25 24 51 51 H 1.09000 * 109.46870 * 60.00217 * 26 25 24 52 52 H 1.08996 * 109.47747 * 300.00196 * 27 4 3 53 53 H 1.09002 * 109.47103 * 60.00608 * 27 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 8 1.4290 0.0000 0.0000 3 6 2.0104 1.3054 0.0000 4 6 3.5356 1.1845 0.0006 5 6 3.9865 0.4254 1.2501 6 7 3.3905 -0.9130 1.2501 7 6 3.6496 -1.7660 2.2608 8 8 4.3775 -1.4247 3.1729 9 7 3.1017 -2.9974 2.2605 10 6 2.2028 -3.5350 1.2288 11 6 1.8552 -4.9832 1.6337 12 6 3.0211 -5.3707 2.5811 13 8 4.1633 -5.8013 1.8382 14 6 2.5901 -6.4281 3.5648 15 1 1.6144 -6.8825 3.4762 16 6 3.4415 -6.8153 4.5778 17 7 4.6299 -6.2623 4.6853 18 14 2.9071 -8.1254 5.7974 19 1 3.3021 -9.4642 5.2905 20 1 3.5620 -7.8790 7.1072 21 1 1.4323 -8.0745 5.9641 22 6 3.2991 -4.0258 3.2982 23 6 3.9874 0.4250 -1.2484 24 6 5.5127 0.3046 -1.2482 25 6 6.1346 1.7025 -1.2483 26 6 5.6827 2.4620 0.0006 27 6 4.1579 2.5822 0.0013 28 1 -0.3633 0.5139 0.8900 29 1 -0.3633 0.5139 -0.8900 30 1 -0.3634 -1.0276 -0.0005 31 1 1.6888 1.8463 0.8900 32 1 1.6888 1.8464 -0.8900 33 1 3.6646 0.9664 2.1399 34 1 5.0731 0.3389 1.2503 35 1 2.8101 -1.1853 0.5222 36 1 1.2950 -2.9340 1.1783 37 1 2.7054 -3.5330 0.2616 38 1 1.8345 -5.6357 0.7608 39 1 0.9023 -5.0138 2.1621 40 1 4.9478 -5.9612 2.3806 41 1 5.2290 -6.5350 5.3979 42 1 4.3235 -3.9985 3.6694 43 1 2.5955 -3.8780 4.1174 44 1 3.5440 -0.5706 -1.2484 45 1 3.6661 0.9659 -2.1386 46 1 5.8346 -0.2360 -2.1381 47 1 5.8343 -0.2359 -0.3579 48 1 5.8130 2.2432 -2.1385 49 1 7.2212 1.6168 -1.2486 50 1 6.1262 3.4577 0.0007 51 1 6.0044 1.9213 0.8908 52 1 3.8367 3.1234 -0.8886 53 1 3.8359 3.1228 0.8913 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 ZINC000592022920.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 06:11:19 Heat of formation + Delta-G solvation = -135.520598 kcal Electronic energy + Delta-G solvation = -32504.843394 eV Core-core repulsion = 28376.004521 eV Total energy + Delta-G solvation = -4128.838873 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.57 seconds Orbital eigenvalues (eV) -40.44426 -39.04379 -37.48501 -37.10194 -34.07214 -33.98347 -32.15118 -31.94133 -30.89548 -29.87929 -27.70129 -27.34718 -26.13507 -25.31644 -24.44853 -22.85324 -22.26256 -21.30181 -19.56784 -19.28867 -18.75273 -17.34495 -16.91708 -16.42757 -16.16486 -15.96206 -15.48044 -15.09160 -14.93853 -14.63504 -14.39829 -14.35260 -14.18362 -13.87705 -13.51356 -13.18703 -12.91910 -12.85677 -12.71689 -12.38224 -12.24308 -12.14343 -11.92260 -11.82815 -11.57244 -11.49620 -11.30541 -11.21760 -11.08674 -10.98313 -10.71970 -10.49536 -10.40611 -10.33124 -10.25087 -10.19739 -10.10283 -9.81289 -9.39175 -9.25582 -8.62554 -8.46378 -8.24275 -7.48790 -6.20006 -4.29719 3.23814 3.28130 3.32810 3.35144 3.61664 3.99405 4.31602 4.40085 4.47236 4.58979 4.82600 4.84958 4.99907 5.01671 5.07181 5.11649 5.17227 5.24880 5.28072 5.29838 5.36736 5.41525 5.47931 5.53688 5.56823 5.62297 5.77807 5.80146 5.82957 5.88271 5.92363 5.95174 6.01656 6.06909 6.15544 6.16665 6.22824 6.27660 6.38671 6.62691 6.81061 6.94777 7.00754 7.13865 7.18829 7.36304 7.45502 7.81976 7.96647 8.13837 8.71844 8.84122 9.37760 9.41144 9.46724 10.86850 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017811 B = 0.003024 C = 0.002828 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1571.707647 B = 9257.682335 C = 9898.283887 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 -0.386 6.386 3 C 0.073 3.927 4 C -0.068 4.068 5 C 0.153 3.847 6 N -0.738 5.738 7 C 0.714 3.286 8 O -0.607 6.607 9 N -0.629 5.629 10 C 0.111 3.889 11 C -0.116 4.116 12 C 0.248 3.752 13 O -0.582 6.582 14 C -0.537 4.537 15 H 0.065 0.935 16 C 0.071 3.929 17 N -0.891 5.891 18 Si 0.902 3.098 19 H -0.279 1.279 20 H -0.285 1.285 21 H -0.273 1.273 22 C 0.116 3.884 23 C -0.102 4.102 24 C -0.125 4.125 25 C -0.118 4.118 26 C -0.124 4.124 27 C -0.102 4.102 28 H 0.040 0.960 29 H 0.039 0.961 30 H 0.087 0.913 31 H 0.051 0.949 32 H 0.050 0.950 33 H 0.055 0.945 34 H 0.068 0.932 35 H 0.403 0.597 36 H 0.049 0.951 37 H 0.052 0.948 38 H 0.072 0.928 39 H 0.075 0.925 40 H 0.380 0.620 41 H 0.269 0.731 42 H 0.083 0.917 43 H 0.053 0.947 44 H 0.071 0.929 45 H 0.060 0.940 46 H 0.061 0.939 47 H 0.070 0.930 48 H 0.059 0.941 49 H 0.060 0.940 50 H 0.063 0.937 51 H 0.070 0.930 52 H 0.067 0.933 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.352 17.717 -13.185 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 -0.063 4.063 2 O -0.305 6.305 3 C -0.004 4.004 4 C -0.069 4.069 5 C 0.028 3.972 6 N -0.400 5.400 7 C 0.415 3.585 8 O -0.487 6.487 9 N -0.366 5.366 10 C -0.013 4.013 11 C -0.154 4.154 12 C 0.208 3.792 13 O -0.391 6.391 14 C -0.576 4.576 15 H 0.084 0.916 16 C -0.132 4.132 17 N -0.529 5.529 18 Si 0.730 3.270 19 H -0.205 1.205 20 H -0.211 1.211 21 H -0.198 1.198 22 C -0.006 4.006 23 C -0.140 4.140 24 C -0.163 4.163 25 C -0.155 4.155 26 C -0.161 4.161 27 C -0.140 4.140 28 H 0.059 0.941 29 H 0.058 0.942 30 H 0.106 0.894 31 H 0.069 0.931 32 H 0.068 0.932 33 H 0.073 0.927 34 H 0.086 0.914 35 H 0.244 0.756 36 H 0.067 0.933 37 H 0.070 0.930 38 H 0.090 0.910 39 H 0.094 0.906 40 H 0.230 0.770 41 H 0.079 0.921 42 H 0.102 0.898 43 H 0.072 0.928 44 H 0.089 0.911 45 H 0.079 0.921 46 H 0.080 0.920 47 H 0.088 0.912 48 H 0.077 0.923 49 H 0.079 0.921 50 H 0.082 0.918 51 H 0.089 0.911 52 H 0.086 0.914 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges -3.944 17.931 -12.911 22.445 hybrid contribution -0.433 -0.558 0.891 1.137 sum -4.377 17.373 -12.021 21.575 Atomic orbital electron populations 1.22740 0.80802 1.03043 0.99706 1.87640 1.19769 1.27756 1.95295 1.22591 0.92807 0.84855 1.00113 1.20904 0.93033 0.96394 0.96560 1.21105 0.97994 0.82552 0.95548 1.45316 1.54235 1.14123 1.26332 1.15581 0.80518 0.79823 0.82535 1.90855 1.42755 1.76976 1.38095 1.47856 1.49666 1.12768 1.26290 1.21846 0.92339 0.95735 0.91385 1.22588 0.99351 0.93119 1.00349 1.19632 0.82957 0.89411 0.87250 1.86098 1.23546 1.89733 1.39709 1.21460 1.02320 1.21942 1.11831 0.91646 1.25076 0.94796 0.96092 0.97273 1.69736 1.07719 1.42025 1.33469 0.86428 0.78862 0.81553 0.80169 1.20462 1.21059 1.19763 1.23046 1.02523 0.86062 0.88984 1.21490 0.95865 1.00716 0.95907 1.21607 0.95218 0.96918 1.02543 1.21526 1.00080 0.96097 0.97811 1.21583 0.94993 1.00465 0.99061 1.21435 0.95852 0.94455 1.02269 0.94114 0.94233 0.89406 0.93101 0.93195 0.92656 0.91412 0.75557 0.93297 0.93007 0.90970 0.90634 0.77007 0.92081 0.89842 0.92825 0.91058 0.92090 0.91985 0.91150 0.92258 0.92081 0.91835 0.91125 0.91427 0.91486 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 0.29 11.01 101.05 1.11 1.40 16 2 O -0.39 -4.24 6.75 -35.23 -0.24 -4.48 16 3 C 0.07 0.68 4.80 37.16 0.18 0.86 16 4 C -0.07 -0.68 0.51 -154.51 -0.08 -0.76 16 5 C 0.15 2.14 3.87 -4.04 -0.02 2.12 16 6 N -0.74 -12.29 4.58 -65.22 -0.30 -12.59 16 7 C 0.71 15.58 8.49 -86.92 -0.74 14.84 16 8 O -0.61 -15.55 16.60 5.29 0.09 -15.46 16 9 N -0.63 -13.84 3.33 -176.22 -0.59 -14.43 16 10 C 0.11 2.06 6.15 -3.06 -0.02 2.04 16 11 C -0.12 -2.37 6.13 -24.89 -0.15 -2.53 16 12 C 0.25 6.16 0.87 -89.61 -0.08 6.08 16 13 O -0.58 -15.20 13.16 -35.23 -0.46 -15.67 16 14 C -0.54 -14.24 8.27 -34.44 -0.28 -14.53 16 15 H 0.07 1.70 7.79 -52.49 -0.41 1.29 16 16 C 0.07 1.89 5.29 -17.82 -0.09 1.79 16 17 N -0.89 -24.34 10.69 55.43 0.59 -23.75 16 18 Si 0.90 20.69 29.54 -169.99 -5.02 15.67 16 19 H -0.28 -6.37 7.11 56.52 0.40 -5.96 16 20 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 21 H -0.27 -6.17 7.11 56.52 0.40 -5.76 16 22 C 0.12 2.92 5.38 -2.52 -0.01 2.91 16 23 C -0.10 -1.02 4.42 -26.73 -0.12 -1.14 16 24 C -0.13 -1.28 5.65 -26.73 -0.15 -1.43 16 25 C -0.12 -1.00 5.92 -26.73 -0.16 -1.16 16 26 C -0.12 -1.04 5.65 -26.75 -0.15 -1.19 16 27 C -0.10 -0.82 4.73 -26.76 -0.13 -0.94 16 28 H 0.04 0.34 8.14 -51.93 -0.42 -0.08 16 29 H 0.04 0.27 8.14 -51.93 -0.42 -0.15 16 30 H 0.09 0.72 8.14 -51.93 -0.42 0.30 16 31 H 0.05 0.47 8.14 -51.93 -0.42 0.05 16 32 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 33 H 0.06 0.82 8.14 -51.93 -0.42 0.40 16 34 H 0.07 1.01 4.81 -51.93 -0.25 0.76 16 35 H 0.40 6.17 3.68 -40.82 -0.15 6.02 16 36 H 0.05 0.79 8.14 -51.93 -0.42 0.37 16 37 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 38 H 0.07 1.41 8.14 -51.93 -0.42 0.98 16 39 H 0.08 1.45 8.03 -51.93 -0.42 1.04 16 40 H 0.38 10.21 7.56 45.56 0.34 10.56 16 41 H 0.27 7.07 8.31 -40.82 -0.34 6.73 16 42 H 0.08 2.37 7.33 -51.93 -0.38 1.99 16 43 H 0.05 1.40 8.03 -51.93 -0.42 0.98 16 44 H 0.07 0.83 6.49 -51.93 -0.34 0.49 16 45 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 46 H 0.06 0.60 8.14 -51.93 -0.42 0.18 16 47 H 0.07 0.89 6.43 -51.93 -0.33 0.55 16 48 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 49 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 50 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 51 H 0.07 0.70 6.43 -51.93 -0.33 0.37 16 52 H 0.07 0.46 8.14 -51.93 -0.42 0.03 16 53 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 LS Contribution 398.29 15.07 6.00 6.00 Total: -1.00 -31.14 398.29 -9.40 -40.54 By element: Atomic # 1 Polarization: 24.37 SS G_CDS: -8.58 Total: 15.78 kcal Atomic # 6 Polarization: 9.27 SS G_CDS: -0.89 Total: 8.38 kcal Atomic # 7 Polarization: -50.48 SS G_CDS: -0.29 Total: -50.77 kcal Atomic # 8 Polarization: -34.99 SS G_CDS: -0.61 Total: -35.60 kcal Atomic # 14 Polarization: 20.69 SS G_CDS: -5.02 Total: 15.67 kcal Total LS contribution 6.00 Total: 6.00 kcal Total: -31.14 -9.40 -40.54 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. ZINC000592022920.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 -94.985 kcal (2) G-P(sol) polarization free energy of solvation -31.139 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -126.124 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.397 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.535 kcal (6) G-S(sol) free energy of system = (1) + (5) -135.521 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.57 seconds