Wall clock time and date at job start Sat Apr 11 2020 06:10:41 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 1.52996 * 1 3 3 C 1.53000 * 109.47104 * 2 1 4 4 O 1.45198 * 109.47015 * 119.99814 * 2 1 3 5 5 C 1.34235 * 117.00061 * 150.00196 * 4 2 1 6 6 O 1.20823 * 119.99723 * 0.02562 * 5 4 2 7 7 C 1.50701 * 119.99759 * 179.97438 * 5 4 2 8 8 C 1.53007 * 109.46563 * 179.97438 * 7 5 4 9 9 C 1.52997 * 109.46741 * 180.02562 * 8 7 5 10 10 H 1.09000 * 109.47391 * 305.00244 * 9 8 7 11 11 C 1.52999 * 109.47282 * 185.00547 * 9 8 7 12 12 N 1.46499 * 109.47290 * 65.00198 * 9 8 7 13 13 C 1.34777 * 120.00374 * 204.99673 * 12 9 8 14 14 O 1.21588 * 119.99649 * 354.93852 * 13 12 9 15 15 N 1.34775 * 120.00086 * 174.93162 * 13 12 9 16 16 C 1.46924 * 120.63005 * 5.03563 * 15 13 12 17 17 C 1.53188 * 108.77568 * 233.58264 * 16 15 13 18 18 C 1.53043 * 109.31519 * 305.36545 * 17 16 15 19 19 C 1.53039 * 109.53449 * 61.36639 * 18 17 16 20 20 H 1.08997 * 109.50256 * 58.58495 * 19 18 17 21 21 C 1.50697 * 109.49721 * 178.68346 * 19 18 17 22 22 H 1.08000 * 120.00316 * 0.02562 * 21 19 18 23 23 C 1.37879 * 120.00295 * 179.97438 * 21 19 18 24 24 N 1.31511 * 119.99716 * 0.02562 * 23 21 19 25 25 Si 1.86797 * 120.00029 * 179.97438 * 23 21 19 26 26 H 1.48505 * 109.46854 * 90.00653 * 25 23 21 27 27 H 1.48509 * 109.46969 * 210.00280 * 25 23 21 28 28 H 1.48494 * 109.47513 * 330.00295 * 25 23 21 29 29 C 1.46929 * 120.63057 * 184.75295 * 15 13 12 30 30 H 1.08998 * 109.47328 * 299.99988 * 1 2 3 31 31 H 1.09009 * 109.47106 * 60.00248 * 1 2 3 32 32 H 1.09000 * 109.47397 * 179.97438 * 1 2 3 33 33 H 1.08998 * 109.47328 * 240.00012 * 2 1 3 34 34 H 1.09000 * 109.47457 * 300.00120 * 3 2 1 35 35 H 1.09003 * 109.47453 * 59.99984 * 3 2 1 36 36 H 1.09003 * 109.47486 * 179.97438 * 3 2 1 37 37 H 1.08996 * 109.47598 * 299.99779 * 7 5 4 38 38 H 1.09001 * 109.47055 * 60.00709 * 7 5 4 39 39 H 1.08996 * 109.47189 * 300.00282 * 8 7 5 40 40 H 1.09001 * 109.46650 * 60.00713 * 8 7 5 41 41 H 1.09000 * 109.46660 * 300.00144 * 11 9 8 42 42 H 1.08997 * 109.47023 * 59.99796 * 11 9 8 43 43 H 1.09000 * 109.47303 * 180.02562 * 11 9 8 44 44 H 0.97005 * 119.99734 * 25.00145 * 12 9 8 45 45 H 1.08996 * 109.59158 * 353.37358 * 16 15 13 46 46 H 1.09008 * 109.58741 * 113.65466 * 16 15 13 47 47 H 1.09001 * 109.50079 * 65.31930 * 17 16 15 48 48 H 1.08999 * 109.49802 * 185.41541 * 17 16 15 49 49 H 1.09001 * 109.45836 * 181.38114 * 18 17 16 50 50 H 1.09001 * 109.45809 * 301.35968 * 18 17 16 51 51 H 0.97003 * 119.99794 * 179.97438 * 24 23 21 52 52 H 1.08999 * 109.58651 * 246.20443 * 29 15 13 53 53 H 1.09006 * 109.58511 * 6.63486 * 29 15 13 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 8 2.0139 -0.6844 1.1856 5 6 3.1936 -1.3170 1.0852 6 8 3.8019 -1.2989 0.0414 7 6 3.7599 -2.0486 2.2748 8 6 5.1022 -2.6773 1.8951 9 6 5.6768 -3.4207 3.1026 10 1 5.7402 -2.7402 3.9518 11 6 7.0740 -3.9430 2.7624 12 7 4.8039 -4.5468 3.4435 13 6 4.7884 -5.0308 4.7012 14 8 5.5640 -4.5949 5.5299 15 7 3.9131 -5.9979 5.0404 16 6 3.0456 -6.6118 4.0258 17 6 1.5909 -6.5129 4.4957 18 6 1.4657 -7.1340 5.8888 19 6 2.3452 -6.3614 6.8745 20 1 2.0393 -5.3154 6.8925 21 6 2.1963 -6.9535 8.2523 22 1 1.5404 -7.7969 8.4097 23 6 2.8984 -6.4191 9.3118 24 7 3.6975 -5.3924 9.1202 25 14 2.7133 -7.1526 11.0198 26 1 3.7251 -8.2227 11.2112 27 1 2.9160 -6.0915 12.0388 28 1 1.3517 -7.7267 11.1671 29 6 3.8125 -6.4626 6.4306 30 1 -0.3634 0.5138 0.8900 31 1 -0.3634 0.5138 -0.8901 32 1 -0.3634 -1.0276 -0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 1.6766 1.9564 -0.8900 35 1 1.6766 1.9564 0.8900 36 1 3.1300 1.4426 0.0005 37 1 3.9060 -1.3478 3.0966 38 1 3.0669 -2.8313 2.5835 39 1 4.9556 -3.3782 1.0734 40 1 5.7953 -1.8949 1.5862 41 1 7.0106 -4.6235 1.9133 42 1 7.7233 -3.1051 2.5089 43 1 7.4832 -4.4730 3.6225 44 1 4.2372 -4.9442 2.7638 45 1 3.1605 -6.0841 3.0791 46 1 3.3195 -7.6589 3.8960 47 1 1.2920 -5.4655 4.5361 48 1 0.9464 -7.0490 3.7991 49 1 0.4267 -7.0870 6.2152 50 1 1.7884 -8.1745 5.8528 51 1 4.1911 -5.0162 9.8657 52 1 4.1460 -7.4983 6.4947 53 1 4.4334 -5.8362 7.0711 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 ZINC000595598534.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 06:10:41 Heat of formation + Delta-G solvation = -137.085490 kcal Electronic energy + Delta-G solvation = -30900.389143 eV Core-core repulsion = 26771.482412 eV Total energy + Delta-G solvation = -4128.906732 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.71 seconds Orbital eigenvalues (eV) -40.80772 -39.80115 -37.56668 -36.98066 -35.76298 -33.55177 -33.42361 -32.19764 -31.58873 -30.07231 -29.43626 -27.66514 -25.55615 -25.04778 -24.39411 -22.27511 -21.82369 -21.11087 -20.58310 -20.02059 -18.84104 -18.01692 -17.40573 -16.74884 -16.41291 -16.15287 -15.91155 -14.85840 -14.78513 -14.53313 -14.32768 -14.16505 -13.86556 -13.74380 -13.69745 -13.32940 -13.13442 -12.97537 -12.66958 -12.62176 -12.52302 -12.40249 -12.08158 -12.06714 -12.03945 -11.82375 -11.52738 -11.38978 -11.25272 -11.00305 -10.93661 -10.85820 -10.77254 -10.56868 -10.50135 -10.36550 -10.21215 -9.85458 -9.40366 -9.08336 -8.92498 -8.73546 -8.40342 -7.61198 -5.96528 -4.05130 2.02141 2.43480 3.23831 3.33667 3.40200 3.42322 3.88403 4.36598 4.38904 4.42403 4.47584 4.54079 4.60461 4.76860 4.82613 4.96383 5.15040 5.27045 5.33547 5.33969 5.37314 5.37890 5.38872 5.43556 5.51195 5.57902 5.62742 5.65535 5.68481 5.76454 5.79576 5.87100 5.99253 6.10874 6.17903 6.28980 6.32587 6.34851 6.60469 6.68217 6.82978 6.89783 7.00624 7.09464 7.36365 7.53101 7.56786 7.77490 7.95410 8.08652 8.43411 8.62722 8.98306 9.29785 9.60268 11.08630 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012411 B = 0.002585 C = 0.002396 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2255.484030 B =10827.704448 C =11683.345734 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.079 3.921 3 C -0.170 4.170 4 O -0.353 6.353 5 C 0.464 3.536 6 O -0.512 6.512 7 C -0.116 4.116 8 C -0.113 4.113 9 C 0.161 3.839 10 H 0.090 0.910 11 C -0.161 4.161 12 N -0.754 5.754 13 C 0.701 3.299 14 O -0.583 6.583 15 N -0.623 5.623 16 C 0.116 3.884 17 C -0.133 4.133 18 C -0.110 4.110 19 C 0.041 3.959 20 H 0.029 0.971 21 C -0.521 4.521 22 H 0.057 0.943 23 C 0.063 3.937 24 N -0.879 5.879 25 Si 0.891 3.109 26 H -0.281 1.281 27 H -0.287 1.287 28 H -0.275 1.275 29 C 0.129 3.871 30 H 0.069 0.931 31 H 0.077 0.923 32 H 0.065 0.935 33 H 0.084 0.916 34 H 0.074 0.926 35 H 0.067 0.933 36 H 0.061 0.939 37 H 0.110 0.890 38 H 0.108 0.892 39 H 0.075 0.925 40 H 0.086 0.914 41 H 0.053 0.947 42 H 0.061 0.939 43 H 0.066 0.934 44 H 0.389 0.611 45 H 0.059 0.941 46 H 0.059 0.941 47 H 0.060 0.940 48 H 0.057 0.943 49 H 0.050 0.950 50 H 0.049 0.951 51 H 0.263 0.737 52 H 0.038 0.962 53 H 0.122 0.878 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.557 8.386 -20.400 22.204 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 -0.208 4.208 2 C 0.024 3.976 3 C -0.227 4.227 4 O -0.270 6.270 5 C 0.307 3.693 6 O -0.400 6.400 7 C -0.154 4.154 8 C -0.151 4.151 9 C 0.056 3.944 10 H 0.108 0.892 11 C -0.220 4.220 12 N -0.414 5.414 13 C 0.403 3.597 14 O -0.460 6.460 15 N -0.360 5.360 16 C -0.009 4.009 17 C -0.171 4.171 18 C -0.148 4.148 19 C 0.021 3.979 20 H 0.047 0.953 21 C -0.560 4.560 22 H 0.076 0.924 23 C -0.140 4.140 24 N -0.516 5.516 25 Si 0.719 3.281 26 H -0.207 1.207 27 H -0.212 1.212 28 H -0.200 1.200 29 C 0.009 3.991 30 H 0.088 0.912 31 H 0.096 0.904 32 H 0.084 0.916 33 H 0.102 0.898 34 H 0.093 0.907 35 H 0.086 0.914 36 H 0.080 0.920 37 H 0.128 0.872 38 H 0.126 0.874 39 H 0.094 0.906 40 H 0.105 0.895 41 H 0.072 0.928 42 H 0.079 0.921 43 H 0.085 0.915 44 H 0.225 0.775 45 H 0.077 0.923 46 H 0.078 0.922 47 H 0.078 0.922 48 H 0.076 0.924 49 H 0.069 0.931 50 H 0.068 0.932 51 H 0.073 0.927 52 H 0.056 0.944 53 H 0.140 0.860 Dipole moment (debyes) X Y Z Total from point charges -1.706 8.875 -19.980 21.929 hybrid contribution -0.415 -0.563 0.403 0.808 sum -2.122 8.312 -19.577 21.374 Atomic orbital electron populations 1.21897 0.92353 1.03327 1.03199 1.22729 0.95064 0.92704 0.87080 1.22212 1.02117 0.95283 1.03127 1.86613 1.36791 1.62553 1.41057 1.23917 0.78950 0.76116 0.90283 1.90642 1.59412 1.58950 1.31038 1.21480 0.98421 1.00794 0.94670 1.21754 0.94899 1.00398 0.98034 1.20699 0.89278 0.87657 0.96786 0.89237 1.22168 0.96346 1.01391 1.02106 1.45496 1.47820 1.37422 1.10673 1.15948 0.81571 0.80206 0.81980 1.90917 1.42529 1.62836 1.49709 1.47793 1.38290 1.38632 1.11240 1.21481 0.91294 0.97682 0.90396 1.21944 0.95030 1.01367 0.98795 1.21615 1.00439 0.99250 0.93454 1.19055 0.90087 0.96059 0.92670 0.95316 1.21076 1.26655 1.16141 0.92119 0.92446 1.25049 0.95155 0.94802 0.99002 1.69896 1.27377 1.22742 1.31598 0.86612 0.78381 0.78829 0.84281 1.20664 1.21235 1.19988 1.22264 1.01732 0.98262 0.76875 0.91233 0.90438 0.91580 0.89809 0.90749 0.91418 0.91983 0.87230 0.87358 0.90592 0.89519 0.92832 0.92052 0.91453 0.77543 0.92255 0.92224 0.92171 0.92434 0.93110 0.93244 0.92691 0.94385 0.85986 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 -0.15 -0.99 9.57 37.16 0.36 -0.64 16 2 C 0.08 0.69 3.18 -26.73 -0.09 0.60 16 3 C -0.17 -1.27 9.55 37.16 0.35 -0.92 16 4 O -0.35 -3.82 9.88 -39.27 -0.39 -4.21 16 5 C 0.46 5.15 7.93 36.01 0.29 5.44 16 6 O -0.51 -6.65 15.20 -18.75 -0.28 -6.93 16 7 C -0.12 -1.14 5.70 -27.88 -0.16 -1.30 16 8 C -0.11 -1.09 4.04 -26.73 -0.11 -1.20 16 9 C 0.16 1.99 2.54 -67.93 -0.17 1.81 16 10 H 0.09 1.28 7.65 -51.93 -0.40 0.88 16 11 C -0.16 -1.90 9.48 37.16 0.35 -1.55 16 12 N -0.75 -10.61 4.44 -58.68 -0.26 -10.87 16 13 C 0.70 13.80 8.26 -86.92 -0.72 13.09 16 14 O -0.58 -14.16 15.44 5.29 0.08 -14.08 16 15 N -0.62 -12.26 2.97 -178.23 -0.53 -12.79 16 16 C 0.12 1.74 6.43 -3.71 -0.02 1.71 16 17 C -0.13 -2.07 6.08 -26.61 -0.16 -2.23 16 18 C -0.11 -2.15 5.10 -26.69 -0.14 -2.28 16 19 C 0.04 0.99 2.26 -91.43 -0.21 0.78 16 20 H 0.03 0.79 8.14 -51.93 -0.42 0.36 16 21 C -0.52 -14.05 8.56 -34.44 -0.29 -14.34 16 22 H 0.06 1.52 7.74 -52.49 -0.41 1.11 16 23 C 0.06 1.74 5.30 -17.82 -0.09 1.64 16 24 N -0.88 -25.59 11.41 55.43 0.63 -24.95 16 25 Si 0.89 21.25 29.54 -169.99 -5.02 16.23 16 26 H -0.28 -6.65 7.11 56.52 0.40 -6.25 16 27 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 28 H -0.27 -6.44 7.11 56.52 0.40 -6.03 16 29 C 0.13 3.12 5.41 -3.48 -0.02 3.10 16 30 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 31 H 0.08 0.36 8.14 -51.92 -0.42 -0.06 16 32 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 33 H 0.08 0.78 7.16 -51.93 -0.37 0.41 16 34 H 0.07 0.42 8.14 -51.93 -0.42 -0.01 16 35 H 0.07 0.49 8.14 -51.93 -0.42 0.06 16 36 H 0.06 0.54 8.14 -51.93 -0.42 0.11 16 37 H 0.11 1.04 8.14 -51.93 -0.42 0.61 16 38 H 0.11 1.07 7.75 -51.93 -0.40 0.66 16 39 H 0.08 0.71 8.10 -51.93 -0.42 0.29 16 40 H 0.09 0.80 8.10 -51.93 -0.42 0.38 16 41 H 0.05 0.57 8.14 -51.93 -0.42 0.14 16 42 H 0.06 0.61 8.14 -51.93 -0.42 0.18 16 43 H 0.07 0.98 8.09 -51.93 -0.42 0.56 16 44 H 0.39 4.48 6.06 -40.82 -0.25 4.23 16 45 H 0.06 0.69 5.57 -51.93 -0.29 0.40 16 46 H 0.06 0.85 8.14 -51.92 -0.42 0.43 16 47 H 0.06 0.97 8.14 -51.93 -0.42 0.54 16 48 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 49 H 0.05 0.98 8.14 -51.93 -0.42 0.56 16 50 H 0.05 0.95 8.14 -51.93 -0.42 0.52 16 51 H 0.26 7.39 8.31 -40.82 -0.34 7.05 16 52 H 0.04 0.92 8.14 -51.93 -0.42 0.50 16 53 H 0.12 3.47 5.18 -51.93 -0.27 3.20 16 LS Contribution 419.59 15.07 6.32 6.32 Total: -1.00 -32.94 419.59 -9.82 -42.76 By element: Atomic # 1 Polarization: 14.36 SS G_CDS: -9.54 Total: 4.81 kcal Atomic # 6 Polarization: 4.55 SS G_CDS: -0.83 Total: 3.72 kcal Atomic # 7 Polarization: -48.46 SS G_CDS: -0.16 Total: -48.62 kcal Atomic # 8 Polarization: -24.63 SS G_CDS: -0.59 Total: -25.22 kcal Atomic # 14 Polarization: 21.25 SS G_CDS: -5.02 Total: 16.23 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -32.94 -9.82 -42.76 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. ZINC000595598534.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 -94.330 kcal (2) G-P(sol) polarization free energy of solvation -32.935 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -127.266 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.820 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.755 kcal (6) G-S(sol) free energy of system = (1) + (5) -137.085 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.71 seconds