Wall clock time and date at job start Wed Apr 1 2020 01:06:16 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 1.42898 * 1 3 3 C 1.42897 * 113.99817 * 2 1 4 4 H 1.09001 * 109.47616 * 29.99998 * 3 2 1 5 5 C 1.53004 * 109.46990 * 150.00052 * 3 2 1 6 6 C 1.52997 * 109.47023 * 294.99601 * 5 3 2 7 7 C 1.53002 * 109.47070 * 174.99702 * 6 5 3 8 8 C 1.52992 * 109.47482 * 295.00081 * 6 5 3 9 9 C 1.50703 * 109.47137 * 269.99767 * 3 2 1 10 10 O 1.21275 * 120.00106 * 355.00267 * 9 3 2 11 11 N 1.34779 * 119.99925 * 174.99963 * 9 3 2 12 12 C 1.46497 * 120.00149 * 179.97438 * 11 9 3 13 13 C 1.52996 * 109.47340 * 180.02562 * 12 11 9 14 14 H 1.09000 * 110.52387 * 307.79546 * 13 12 11 15 15 C 1.55061 * 110.58676 * 185.00022 * 13 12 11 16 16 C 1.55023 * 102.13348 * 204.93575 * 15 13 12 17 17 C 1.53324 * 103.78694 * 20.86322 * 16 15 13 18 18 C 1.52644 * 115.56381 * 133.64309 * 17 16 15 19 19 N 1.47229 * 87.78111 * 90.04653 * 18 17 16 20 20 C 1.36929 * 135.96928 * 206.41470 * 19 18 17 21 21 H 1.08006 * 119.99870 * 7.80348 * 20 19 18 22 22 C 1.38816 * 120.00238 * 187.80548 * 20 19 18 23 23 N 1.31613 * 119.99924 * 195.33338 * 22 20 19 24 24 Si 1.86798 * 119.99528 * 15.32917 * 22 20 19 25 25 H 1.48501 * 109.47162 * 269.99583 * 24 22 20 26 26 H 1.48507 * 109.46522 * 150.00004 * 24 22 20 27 27 H 1.48498 * 109.47295 * 30.00249 * 24 22 20 28 28 C 1.47221 * 88.06476 * 26.66859 * 19 18 17 29 29 O 1.42845 * 108.32768 * 1.60407 * 17 16 15 30 30 H 1.08994 * 109.47412 * 300.00129 * 1 2 3 31 31 H 1.09005 * 109.47304 * 59.99800 * 1 2 3 32 32 H 1.08999 * 109.47419 * 179.97438 * 1 2 3 33 33 H 1.09001 * 109.46959 * 55.00181 * 5 3 2 34 34 H 1.09001 * 109.47132 * 174.99823 * 5 3 2 35 35 H 1.09003 * 109.46908 * 55.00201 * 6 5 3 36 36 H 1.09003 * 109.46848 * 60.00463 * 7 6 5 37 37 H 1.09003 * 109.47112 * 179.97438 * 7 6 5 38 38 H 1.08995 * 109.47612 * 300.00677 * 7 6 5 39 39 H 1.09003 * 109.47468 * 180.02562 * 8 6 5 40 40 H 1.08995 * 109.47398 * 299.99727 * 8 6 5 41 41 H 1.09009 * 109.47275 * 60.00056 * 8 6 5 42 42 H 0.97007 * 120.00114 * 0.02562 * 11 9 3 43 43 H 1.08997 * 109.46946 * 60.00254 * 12 11 9 44 44 H 1.08999 * 109.47092 * 300.00525 * 12 11 9 45 45 H 1.09000 * 110.87112 * 86.77724 * 15 13 12 46 46 H 1.08998 * 111.04731 * 323.17844 * 15 13 12 47 47 H 1.09001 * 110.56238 * 262.28898 * 16 15 13 48 48 H 1.08995 * 110.69137 * 139.49727 * 16 15 13 49 49 H 1.09001 * 113.50036 * 335.32317 * 18 17 16 50 50 H 1.09001 * 113.56148 * 204.78134 * 18 17 16 51 51 H 0.97000 * 120.00254 * 354.90242 * 23 22 20 52 52 H 1.08998 * 113.49938 * 88.05938 * 28 19 18 53 53 H 1.08996 * 113.50607 * 218.60684 * 28 19 18 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 2.0102 1.3054 0.0000 4 1 1.3449 1.9994 0.5138 5 6 3.3589 1.2633 0.7213 6 6 3.1382 0.9185 2.1955 7 6 4.4921 0.7536 2.8888 8 6 2.3532 2.0447 2.8707 9 6 2.2145 1.7643 -1.4208 10 8 1.9791 1.0106 -2.3413 11 7 2.6588 3.0125 -1.6686 12 6 2.8580 3.4584 -3.0497 13 6 3.3638 4.9023 -3.0516 14 1 2.7120 5.5363 -2.4504 15 6 3.4642 5.4431 -4.5013 16 6 4.5392 6.5513 -4.3621 17 6 5.2874 6.1752 -3.0777 18 6 6.8107 6.2194 -3.1658 19 7 6.7375 7.6266 -2.7392 20 6 7.5111 8.7451 -2.8983 21 1 8.3606 8.7237 -3.5650 22 6 7.2037 9.9064 -2.2028 23 7 7.7394 11.0524 -2.5662 24 14 6.0295 9.8427 -0.7514 25 1 4.6398 10.0568 -1.2292 26 1 6.3876 10.9056 0.2219 27 1 6.1277 8.5152 -0.0932 28 6 5.4714 7.3031 -2.0611 29 8 4.7254 4.9647 -2.5685 30 1 -0.3634 0.5138 0.8899 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 3.9931 0.5052 0.2617 34 1 3.8427 2.2370 0.6443 35 1 2.5758 -0.0122 2.2707 36 1 5.0545 1.6843 2.8136 37 1 4.3350 0.5084 3.9392 38 1 5.0515 -0.0487 2.4078 39 1 2.1964 1.7993 3.9211 40 1 2.9156 2.9754 2.7956 41 1 1.3886 2.1622 2.3768 42 1 2.8474 3.6153 -0.9323 43 1 1.9125 3.4036 -3.5892 44 1 3.5918 2.8161 -3.5367 45 1 2.5125 5.8639 -4.8256 46 1 3.7962 4.6640 -5.1876 47 1 4.0695 7.5295 -4.2590 48 1 5.2160 6.5408 -5.2164 49 1 7.1913 6.0917 -4.1792 50 1 7.3079 5.5716 -2.4438 51 1 8.4050 11.0747 -3.2715 52 1 5.6040 6.9493 -1.0387 53 1 4.7215 8.0899 -2.1420 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 ZINC001673538321.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 01:06:16 Heat of formation + Delta-G solvation = -78.985205 kcal Electronic energy + Delta-G solvation = -30959.250238 eV Core-core repulsion = 26832.862923 eV Total energy + Delta-G solvation = -4126.387314 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -40.52998 -40.07688 -38.02799 -36.93103 -36.23020 -34.64687 -32.38485 -32.09428 -30.97742 -29.24218 -27.51729 -27.19518 -26.59542 -25.48961 -24.89602 -23.37842 -21.58528 -21.30752 -20.54831 -20.28024 -19.16142 -17.78013 -17.49351 -17.29321 -16.73887 -16.11403 -15.79058 -15.57338 -15.21295 -14.97198 -14.74933 -14.51827 -14.34812 -14.20371 -13.75741 -13.70683 -13.35039 -13.14145 -13.07684 -12.88197 -12.62896 -12.48312 -12.33060 -12.05555 -11.99868 -11.70656 -11.62801 -11.49940 -11.29945 -11.19156 -11.05186 -10.94024 -10.86814 -10.78439 -10.73425 -10.51575 -10.32821 -9.90413 -9.46772 -9.33060 -9.26269 -8.95760 -8.75052 -7.24398 -6.35999 -3.28143 2.38384 2.82836 3.35645 3.44378 3.45738 3.58625 3.78122 4.30994 4.47143 4.52795 4.54462 4.56046 4.64233 4.67143 4.75735 4.84829 4.86552 4.91403 4.94868 5.05839 5.10651 5.14524 5.30963 5.34292 5.35439 5.37062 5.38271 5.42392 5.46612 5.53175 5.55761 5.61736 5.65025 5.77405 5.86955 5.88415 5.97526 6.09569 6.14168 6.19384 6.21622 6.23531 6.27148 6.30933 6.35088 6.53266 6.67408 7.04147 7.28001 7.29217 8.01629 8.18944 8.92156 9.44772 10.30872 11.14218 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012944 B = 0.002738 C = 0.002419 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2162.564514 B =10225.003993 C =11570.728119 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.029 3.971 2 O -0.355 6.355 3 C 0.074 3.926 4 H 0.088 0.912 5 C -0.109 4.109 6 C -0.094 4.094 7 C -0.148 4.148 8 C -0.153 4.153 9 C 0.489 3.511 10 O -0.530 6.530 11 N -0.722 5.722 12 C 0.128 3.872 13 C 0.062 3.938 14 H 0.076 0.924 15 C -0.146 4.146 16 C -0.112 4.112 17 C 0.062 3.938 18 C 0.129 3.871 19 N -0.616 5.616 20 C -0.303 4.303 21 H 0.083 0.917 22 C -0.023 4.023 23 N -0.930 5.930 24 Si 1.061 2.939 25 H -0.294 1.294 26 H -0.294 1.294 27 H -0.281 1.281 28 C 0.092 3.908 29 O -0.355 6.355 30 H 0.042 0.958 31 H 0.044 0.956 32 H 0.089 0.911 33 H 0.079 0.921 34 H 0.085 0.915 35 H 0.079 0.921 36 H 0.057 0.943 37 H 0.055 0.945 38 H 0.056 0.944 39 H 0.056 0.944 40 H 0.059 0.941 41 H 0.051 0.949 42 H 0.404 0.596 43 H 0.080 0.920 44 H 0.077 0.923 45 H 0.080 0.920 46 H 0.079 0.921 47 H 0.081 0.919 48 H 0.082 0.918 49 H 0.050 0.950 50 H 0.043 0.957 51 H 0.262 0.738 52 H 0.051 0.949 53 H 0.052 0.948 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -15.762 -19.993 6.749 26.338 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 -0.068 4.068 2 O -0.272 6.272 3 C 0.013 3.987 4 H 0.106 0.894 5 C -0.147 4.147 6 C -0.112 4.112 7 C -0.206 4.206 8 C -0.210 4.210 9 C 0.274 3.726 10 O -0.405 6.405 11 N -0.376 5.376 12 C 0.005 3.995 13 C 0.004 3.996 14 H 0.094 0.906 15 C -0.184 4.184 16 C -0.150 4.150 17 C 0.021 3.979 18 C 0.002 3.998 19 N -0.346 5.346 20 C -0.429 4.429 21 H 0.101 0.899 22 C -0.222 4.222 23 N -0.572 5.572 24 Si 0.892 3.108 25 H -0.222 1.222 26 H -0.222 1.222 27 H -0.207 1.207 28 C -0.034 4.034 29 O -0.273 6.273 30 H 0.060 0.940 31 H 0.062 0.938 32 H 0.107 0.893 33 H 0.098 0.902 34 H 0.103 0.897 35 H 0.097 0.903 36 H 0.076 0.924 37 H 0.074 0.926 38 H 0.075 0.925 39 H 0.075 0.925 40 H 0.078 0.922 41 H 0.070 0.930 42 H 0.239 0.761 43 H 0.098 0.902 44 H 0.096 0.904 45 H 0.099 0.901 46 H 0.098 0.902 47 H 0.099 0.901 48 H 0.100 0.900 49 H 0.068 0.932 50 H 0.061 0.939 51 H 0.072 0.928 52 H 0.069 0.931 53 H 0.070 0.930 Dipole moment (debyes) X Y Z Total from point charges -16.331 -19.731 7.289 26.630 hybrid contribution 0.724 -0.191 -0.862 1.142 sum -15.607 -19.923 6.427 26.112 Atomic orbital electron populations 1.22855 0.80796 1.03195 0.99926 1.87995 1.19895 1.24959 1.94318 1.22155 0.97686 0.86957 0.91952 0.89401 1.21761 0.94032 1.03673 0.95249 1.21069 0.97194 0.99594 0.93385 1.21837 0.96446 1.02075 1.00207 1.21953 0.99836 0.98696 1.00551 1.21422 0.77227 0.81627 0.92345 1.90707 1.50113 1.53584 1.46127 1.46020 1.67689 1.14621 1.09309 1.21434 1.01140 0.93774 0.83180 1.23361 0.85987 0.95100 0.95180 0.90605 1.23142 1.00138 0.99018 0.96115 1.22371 0.96812 0.98705 0.97090 1.23642 0.95591 0.84654 0.94028 1.22390 0.91097 0.87567 0.98741 1.45928 1.23053 1.04150 1.61427 1.20096 1.11329 0.87104 1.24339 0.89892 1.25773 1.03240 0.91045 1.02138 1.70901 1.29496 1.23909 1.32882 0.83803 0.75157 0.75079 0.76765 1.22162 1.22162 1.20721 1.23118 0.90032 0.94322 0.95905 1.88771 1.24022 1.41278 1.73270 0.93977 0.93765 0.89254 0.90209 0.89685 0.90299 0.92399 0.92593 0.92533 0.92451 0.92222 0.92962 0.76098 0.90222 0.90427 0.90114 0.90240 0.90084 0.89969 0.93156 0.93906 0.92778 0.93112 0.92971 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 0.23 10.81 101.05 1.09 1.32 16 2 O -0.35 -3.79 9.34 -55.09 -0.51 -4.30 16 3 C 0.07 0.68 2.38 -27.88 -0.07 0.62 16 4 H 0.09 0.62 5.99 -51.93 -0.31 0.30 16 5 C -0.11 -0.92 4.36 -26.73 -0.12 -1.03 16 6 C -0.09 -0.68 2.87 -90.62 -0.26 -0.94 16 7 C -0.15 -1.05 9.19 37.16 0.34 -0.71 16 8 C -0.15 -0.96 8.95 37.15 0.33 -0.62 16 9 C 0.49 5.76 7.13 -10.98 -0.08 5.69 16 10 O -0.53 -8.37 16.51 -14.30 -0.24 -8.60 16 11 N -0.72 -7.41 5.46 -60.30 -0.33 -7.74 16 12 C 0.13 1.39 5.41 -4.05 -0.02 1.37 16 13 C 0.06 0.72 3.38 -25.64 -0.09 0.63 16 14 H 0.08 0.81 8.14 -51.93 -0.42 0.39 16 15 C -0.15 -1.63 6.60 -24.57 -0.16 -1.80 16 16 C -0.11 -1.67 6.46 -25.49 -0.16 -1.84 16 17 C 0.06 1.07 1.66 -90.66 -0.15 0.92 16 18 C 0.13 2.58 8.20 -8.03 -0.07 2.52 16 19 N -0.62 -14.96 3.58 -184.60 -0.66 -15.63 16 20 C -0.30 -8.59 11.03 -15.06 -0.17 -8.76 16 21 H 0.08 2.48 8.06 -52.48 -0.42 2.06 16 22 C -0.02 -0.66 5.50 -17.43 -0.10 -0.76 16 23 N -0.93 -28.96 13.70 55.49 0.76 -28.20 16 24 Si 1.06 26.18 25.51 -169.99 -4.34 21.84 16 25 H -0.29 -6.89 6.97 56.52 0.39 -6.49 16 26 H -0.29 -7.35 7.11 56.52 0.40 -6.95 16 27 H -0.28 -6.48 5.65 56.52 0.32 -6.16 16 28 C 0.09 1.92 5.12 -7.88 -0.04 1.88 16 29 O -0.36 -5.41 11.02 -35.23 -0.39 -5.80 16 30 H 0.04 0.25 8.08 -51.93 -0.42 -0.17 16 31 H 0.04 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.09 0.59 8.14 -51.93 -0.42 0.17 16 33 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 34 H 0.08 0.66 7.77 -51.93 -0.40 0.25 16 35 H 0.08 0.62 7.69 -51.93 -0.40 0.22 16 36 H 0.06 0.42 8.14 -51.93 -0.42 -0.01 16 37 H 0.05 0.36 8.14 -51.93 -0.42 -0.07 16 38 H 0.06 0.41 8.14 -51.93 -0.42 -0.02 16 39 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 40 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 41 H 0.05 0.30 6.46 -51.92 -0.34 -0.04 16 42 H 0.40 3.45 8.18 -40.82 -0.33 3.12 16 43 H 0.08 0.80 8.14 -51.93 -0.42 0.38 16 44 H 0.08 0.96 8.14 -51.93 -0.42 0.54 16 45 H 0.08 0.75 8.14 -51.93 -0.42 0.32 16 46 H 0.08 0.83 8.05 -51.93 -0.42 0.41 16 47 H 0.08 1.26 7.82 -51.93 -0.41 0.86 16 48 H 0.08 1.24 7.81 -51.93 -0.41 0.84 16 49 H 0.05 0.97 7.91 -51.93 -0.41 0.56 16 50 H 0.04 0.86 8.14 -51.93 -0.42 0.44 16 51 H 0.26 8.05 8.73 -40.82 -0.36 7.70 16 52 H 0.05 1.07 6.98 -51.93 -0.36 0.71 16 53 H 0.05 1.10 6.08 -51.93 -0.32 0.79 16 LS Contribution 415.39 15.07 6.26 6.26 Total: -1.00 -34.53 415.39 -8.84 -43.37 By element: Atomic # 1 Polarization: 9.99 SS G_CDS: -9.68 Total: 0.30 kcal Atomic # 6 Polarization: -1.80 SS G_CDS: 0.29 Total: -1.51 kcal Atomic # 7 Polarization: -51.33 SS G_CDS: -0.23 Total: -51.56 kcal Atomic # 8 Polarization: -17.56 SS G_CDS: -1.14 Total: -18.70 kcal Atomic # 14 Polarization: 26.18 SS G_CDS: -4.34 Total: 21.84 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -34.53 -8.84 -43.37 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. ZINC001673538321.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 -35.615 kcal (2) G-P(sol) polarization free energy of solvation -34.531 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -70.146 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.839 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.370 kcal (6) G-S(sol) free energy of system = (1) + (5) -78.985 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds