Wall clock time and date at job start Sat Apr 11 2020 06:09:52 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 1.52998 * 1 3 3 C 1.53001 * 109.47529 * 2 1 4 4 C 1.50704 * 109.46715 * 119.99357 * 2 1 3 5 5 O 1.21286 * 119.99600 * 119.99986 * 4 2 1 6 6 N 1.34775 * 120.00367 * 300.00042 * 4 2 1 7 7 C 1.46505 * 119.99967 * 179.97438 * 6 4 2 8 8 C 1.52997 * 109.46885 * 179.97438 * 7 6 4 9 9 H 1.09001 * 109.51438 * 305.10669 * 8 7 6 10 10 C 1.53297 * 109.51313 * 184.99583 * 8 7 6 11 11 N 1.47145 * 108.38755 * 187.72394 * 10 8 7 12 12 C 1.36940 * 120.98820 * 230.51966 * 11 10 8 13 13 H 1.07997 * 119.99429 * 26.25483 * 12 11 10 14 14 C 1.38808 * 120.00036 * 206.25945 * 12 11 10 15 15 N 1.31621 * 120.00268 * 16.91565 * 14 12 11 16 16 Si 1.86801 * 119.99598 * 196.92068 * 14 12 11 17 17 H 1.48500 * 109.47585 * 359.97438 * 16 14 12 18 18 H 1.48496 * 109.47264 * 119.99933 * 16 14 12 19 19 H 1.48499 * 109.47031 * 239.99548 * 16 14 12 20 20 C 1.47158 * 118.03377 * 50.53917 * 11 10 8 21 21 C 1.53301 * 108.41588 * 309.44629 * 20 11 10 22 22 O 1.42970 * 109.55150 * 65.22975 * 8 7 6 23 23 C 1.52996 * 109.47279 * 239.99066 * 2 1 3 24 24 C 1.53178 * 109.54539 * 179.55897 * 23 2 1 25 25 C 1.53088 * 109.16194 * 183.15908 * 24 23 2 26 26 O 1.42897 * 109.41825 * 57.61102 * 25 24 23 27 27 C 1.42905 * 114.09862 * 298.83765 * 26 25 24 28 28 C 1.53092 * 109.40947 * 61.15787 * 27 26 25 29 29 H 1.09003 * 109.47139 * 300.00738 * 1 2 3 30 30 H 1.09001 * 109.46605 * 60.00284 * 1 2 3 31 31 H 1.08997 * 109.47760 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.47162 * 180.02562 * 3 2 1 33 33 H 1.09009 * 109.46678 * 299.99763 * 3 2 1 34 34 H 1.09003 * 109.47513 * 59.99490 * 3 2 1 35 35 H 0.96995 * 120.00060 * 359.97438 * 6 4 2 36 36 H 1.09006 * 109.46793 * 60.00164 * 7 6 4 37 37 H 1.08998 * 109.46856 * 299.99948 * 7 6 4 38 38 H 1.09006 * 109.67611 * 68.00466 * 10 8 7 39 39 H 1.08993 * 109.71299 * 307.47063 * 10 8 7 40 40 H 0.97003 * 119.99665 * 180.02562 * 15 14 12 41 41 H 1.08999 * 109.67778 * 69.18743 * 20 11 10 42 42 H 1.09002 * 109.68327 * 189.70241 * 20 11 10 43 43 H 1.08998 * 109.50759 * 172.24580 * 21 20 11 44 44 H 1.09001 * 109.51105 * 292.39693 * 21 20 11 45 45 H 1.08998 * 109.54776 * 299.82766 * 23 2 1 46 46 H 1.09004 * 109.52194 * 303.06048 * 24 23 2 47 47 H 1.08989 * 109.52375 * 63.24958 * 24 23 2 48 48 H 1.09005 * 109.47870 * 297.62319 * 25 24 23 49 49 H 1.09002 * 109.48038 * 177.59293 * 25 24 23 50 50 H 1.09003 * 109.48085 * 301.18242 * 27 26 25 51 51 H 1.08991 * 109.48656 * 181.14409 * 27 26 25 52 52 H 1.09001 * 109.52021 * 182.48661 * 28 27 26 53 53 H 1.09000 * 109.52178 * 62.30101 * 28 27 26 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 2.0401 1.4425 0.0000 4 6 2.0322 -0.7103 1.2306 5 8 2.7295 -1.6965 1.1194 6 7 1.7066 -0.2498 2.4547 7 6 2.1945 -0.9407 3.6509 8 6 1.6851 -0.2189 4.9000 9 1 1.9723 0.8317 4.8561 10 6 2.2952 -0.8648 6.1493 11 7 1.6509 -0.2799 7.3359 12 6 2.3977 0.2174 8.3704 13 1 3.3988 0.5794 8.1885 14 6 1.8679 0.2561 9.6529 15 7 0.8102 -0.4686 9.9502 16 14 2.6562 1.3370 10.9567 17 1 3.8234 2.0455 10.3730 18 1 1.6649 2.3309 11.4412 19 1 3.1071 0.4934 12.0926 20 6 0.1804 -0.2456 7.3782 21 6 -0.3276 0.3705 6.0696 22 8 0.2606 -0.3221 4.9648 23 6 2.0400 -0.7214 -1.2491 24 6 3.5717 -0.7128 -1.2563 25 6 4.0718 -1.3664 -2.5472 26 8 3.5366 -0.6667 -3.6723 27 6 2.1094 -0.6818 -3.7438 28 6 1.5304 -0.0007 -2.5010 29 1 -0.3633 0.5140 0.8899 30 1 -0.3632 0.5138 -0.8900 31 1 -0.3634 -1.0276 0.0005 32 1 3.1300 1.4424 -0.0005 33 1 1.6768 1.9563 -0.8901 34 1 1.6767 1.9564 0.8899 35 1 1.1493 0.5391 2.5436 36 1 3.2845 -0.9411 3.6511 37 1 1.8306 -1.9682 3.6508 38 1 3.3668 -0.6672 6.1784 39 1 2.1206 -1.9405 6.1294 40 1 0.4398 -0.4412 10.8463 41 1 -0.2076 -1.2590 7.4818 42 1 -0.1486 0.3614 8.2217 43 1 -1.4127 0.2795 6.0216 44 1 -0.0476 1.4231 6.0300 45 1 1.6799 -1.7502 -1.2486 46 1 3.9304 0.3153 -1.2060 47 1 3.9432 -1.2716 -0.3975 48 1 3.7468 -2.4064 -2.5776 49 1 5.1606 -1.3247 -2.5776 50 1 1.7587 -1.7128 -3.7898 51 1 1.7844 -0.1470 -4.6361 52 1 0.4420 -0.0503 -2.5322 53 1 1.8479 1.0418 -2.4758 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 ZINC001732381009.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 06:09:52 Heat of formation + Delta-G solvation = -117.628346 kcal Electronic energy + Delta-G solvation = -31280.394627 eV Core-core repulsion = 27152.331620 eV Total energy + Delta-G solvation = -4128.063006 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.99 seconds Orbital eigenvalues (eV) -40.91679 -39.14989 -38.44868 -36.22551 -34.98642 -34.34437 -32.14867 -31.37411 -31.30978 -30.47152 -27.72773 -27.56211 -25.70269 -25.43527 -23.89305 -23.25699 -22.72476 -21.72291 -20.54742 -19.79150 -18.92142 -17.19140 -16.79525 -16.52072 -16.17341 -16.09863 -15.87639 -15.26788 -15.11586 -14.85032 -14.68058 -14.42974 -14.26268 -14.02379 -13.83346 -13.67774 -13.28710 -13.20232 -12.99602 -12.75141 -12.59585 -12.36323 -12.22544 -12.15595 -11.93627 -11.62670 -11.50561 -11.20943 -11.17213 -10.95452 -10.89561 -10.83383 -10.74782 -10.45164 -10.35658 -10.29057 -10.03294 -9.79427 -9.72156 -9.44158 -9.10926 -8.95174 -8.59158 -6.80562 -5.88996 -3.32801 2.65197 3.17541 3.30348 3.38536 3.40523 3.67134 4.17798 4.25466 4.38229 4.41316 4.45387 4.75798 4.78558 4.87052 4.91754 4.99199 5.07850 5.12073 5.25125 5.28521 5.34622 5.35508 5.43505 5.45187 5.47109 5.50454 5.53978 5.56267 5.67536 5.73080 5.75277 5.78825 5.81645 5.85932 5.96524 5.98917 6.09304 6.16134 6.21166 6.25903 6.31952 6.43640 6.53964 6.70702 6.98900 7.05362 7.46629 7.55361 7.66570 7.80170 8.25681 8.28565 9.06566 9.69238 10.25899 11.19124 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.027702 B = 0.002117 C = 0.002059 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1010.512226 B =13225.810479 C =13598.408650 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.075 4.075 3 C -0.146 4.146 4 C 0.521 3.479 5 O -0.541 6.541 6 N -0.717 5.717 7 C 0.130 3.870 8 C 0.066 3.934 9 H 0.058 0.942 10 C 0.122 3.878 11 N -0.594 5.594 12 C -0.255 4.255 13 H 0.069 0.931 14 C 0.002 3.998 15 N -0.902 5.902 16 Si 0.905 3.095 17 H -0.277 1.277 18 H -0.288 1.288 19 H -0.289 1.289 20 C 0.139 3.861 21 C 0.040 3.960 22 O -0.390 6.390 23 C -0.061 4.061 24 C -0.163 4.163 25 C 0.062 3.938 26 O -0.387 6.387 27 C 0.062 3.938 28 C -0.155 4.155 29 H 0.063 0.937 30 H 0.069 0.931 31 H 0.061 0.939 32 H 0.065 0.935 33 H 0.070 0.930 34 H 0.060 0.940 35 H 0.402 0.598 36 H 0.080 0.920 37 H 0.074 0.926 38 H 0.063 0.937 39 H 0.030 0.970 40 H 0.255 0.745 41 H 0.028 0.972 42 H 0.094 0.906 43 H 0.082 0.918 44 H 0.040 0.960 45 H 0.076 0.924 46 H 0.068 0.932 47 H 0.101 0.899 48 H 0.049 0.951 49 H 0.091 0.909 50 H 0.048 0.952 51 H 0.091 0.909 52 H 0.075 0.925 53 H 0.076 0.924 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.916 3.048 -24.365 24.572 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 -0.201 4.201 2 C -0.079 4.079 3 C -0.203 4.203 4 C 0.307 3.693 5 O -0.419 6.419 6 N -0.368 5.368 7 C 0.006 3.994 8 C 0.006 3.994 9 H 0.076 0.924 10 C -0.006 4.006 11 N -0.318 5.318 12 C -0.384 4.384 13 H 0.087 0.913 14 C -0.197 4.197 15 N -0.547 5.547 16 Si 0.735 3.265 17 H -0.202 1.202 18 H -0.215 1.215 19 H -0.216 1.216 20 C 0.013 3.987 21 C -0.038 4.038 22 O -0.309 6.309 23 C -0.080 4.080 24 C -0.200 4.200 25 C -0.014 4.014 26 O -0.306 6.306 27 C -0.015 4.015 28 C -0.193 4.193 29 H 0.082 0.918 30 H 0.088 0.912 31 H 0.080 0.920 32 H 0.084 0.916 33 H 0.089 0.911 34 H 0.079 0.921 35 H 0.236 0.764 36 H 0.098 0.902 37 H 0.093 0.907 38 H 0.082 0.918 39 H 0.047 0.953 40 H 0.065 0.935 41 H 0.046 0.954 42 H 0.112 0.888 43 H 0.100 0.900 44 H 0.059 0.941 45 H 0.095 0.905 46 H 0.086 0.914 47 H 0.119 0.881 48 H 0.067 0.933 49 H 0.109 0.891 50 H 0.066 0.934 51 H 0.109 0.891 52 H 0.094 0.906 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -0.470 2.309 -24.496 24.609 hybrid contribution -0.101 0.868 1.433 1.679 sum -0.572 3.178 -23.063 23.288 Atomic orbital electron populations 1.21915 0.92433 1.02851 1.02866 1.20773 0.97155 0.96633 0.93307 1.21993 1.01990 0.93566 1.02742 1.20466 0.80016 0.84358 0.84456 1.90619 1.38193 1.26495 1.86612 1.45981 1.53276 1.32026 1.05508 1.21414 0.98812 0.97003 0.82166 1.22795 0.82860 0.98928 0.94848 0.92443 1.21440 0.96596 0.95752 0.86777 1.44079 1.01366 1.69418 1.16922 1.19235 0.99074 1.33935 0.86183 0.91288 1.25057 0.98652 0.99032 0.96956 1.70046 1.25121 1.39651 1.19838 0.86180 0.78671 0.80108 0.81559 1.20199 1.21462 1.21599 1.21446 0.83678 0.99192 0.94343 1.23337 0.96740 0.95108 0.88610 1.87799 1.19086 1.75386 1.48664 1.20933 0.95801 0.99311 0.91921 1.22541 0.95387 1.02429 0.99689 1.22591 0.98682 0.94864 0.85284 1.87906 1.20201 1.76084 1.46434 1.22542 0.81310 0.99805 0.97854 1.22405 1.01027 1.00959 0.94904 0.91780 0.91227 0.91990 0.91649 0.91133 0.92069 0.76371 0.90216 0.90728 0.91808 0.95251 0.93519 0.95370 0.88758 0.90038 0.94117 0.90515 0.91381 0.88070 0.93285 0.89084 0.93368 0.89112 0.90647 0.90567 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 -0.14 -1.14 8.02 37.16 0.30 -0.84 16 2 C -0.08 -0.69 0.43 -155.66 -0.07 -0.76 16 3 C -0.15 -1.14 7.67 37.16 0.28 -0.86 16 4 C 0.52 6.55 6.20 -10.98 -0.07 6.48 16 5 O -0.54 -8.47 13.70 5.55 0.08 -8.40 16 6 N -0.72 -8.96 5.29 -60.29 -0.32 -9.28 16 7 C 0.13 1.90 5.35 -4.04 -0.02 1.88 16 8 C 0.07 1.11 2.81 -26.58 -0.07 1.03 16 9 H 0.06 0.96 8.14 -51.93 -0.42 0.54 16 10 C 0.12 2.49 6.02 -3.54 -0.02 2.47 16 11 N -0.59 -14.62 3.05 -171.83 -0.52 -15.14 16 12 C -0.26 -6.84 9.65 -15.06 -0.15 -6.98 16 13 H 0.07 1.81 7.88 -52.49 -0.41 1.40 16 14 C 0.00 0.05 4.95 -17.43 -0.09 -0.04 16 15 N -0.90 -25.69 11.14 55.49 0.62 -25.07 16 16 Si 0.91 21.18 29.59 -169.99 -5.03 16.15 16 17 H -0.28 -6.32 7.11 56.52 0.40 -5.92 16 18 H -0.29 -6.73 7.11 56.52 0.40 -6.33 16 19 H -0.29 -6.85 7.11 56.52 0.40 -6.45 16 20 C 0.14 3.25 5.44 -3.53 -0.02 3.23 16 21 C 0.04 0.74 6.99 37.31 0.26 1.00 16 22 O -0.39 -7.07 10.34 -35.23 -0.36 -7.44 16 23 C -0.06 -0.56 1.27 -90.44 -0.11 -0.68 16 24 C -0.16 -1.65 4.77 -26.59 -0.13 -1.77 16 25 C 0.06 0.59 6.84 37.20 0.25 0.85 16 26 O -0.39 -3.98 10.77 -35.23 -0.38 -4.36 16 27 C 0.06 0.48 6.84 37.21 0.25 0.73 16 28 C -0.16 -1.13 4.70 -26.59 -0.12 -1.26 16 29 H 0.06 0.50 7.57 -51.93 -0.39 0.11 16 30 H 0.07 0.43 6.51 -51.93 -0.34 0.09 16 31 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 32 H 0.06 0.56 6.36 -51.93 -0.33 0.23 16 33 H 0.07 0.46 6.37 -51.92 -0.33 0.13 16 34 H 0.06 0.45 7.56 -51.93 -0.39 0.06 16 35 H 0.40 4.44 7.31 -40.82 -0.30 4.15 16 36 H 0.08 1.13 8.14 -51.93 -0.42 0.71 16 37 H 0.07 1.19 8.14 -51.93 -0.42 0.77 16 38 H 0.06 1.24 7.96 -51.93 -0.41 0.83 16 39 H 0.03 0.63 8.14 -51.93 -0.42 0.20 16 40 H 0.25 6.98 8.31 -40.82 -0.34 6.64 16 41 H 0.03 0.71 8.14 -51.93 -0.42 0.29 16 42 H 0.09 2.42 6.14 -51.93 -0.32 2.10 16 43 H 0.08 1.33 8.14 -51.93 -0.42 0.91 16 44 H 0.04 0.74 8.14 -51.93 -0.42 0.32 16 45 H 0.08 0.81 8.10 -51.93 -0.42 0.39 16 46 H 0.07 0.67 6.27 -51.93 -0.33 0.34 16 47 H 0.10 1.24 5.65 -51.94 -0.29 0.95 16 48 H 0.05 0.46 8.14 -51.93 -0.42 0.03 16 49 H 0.09 0.77 8.14 -51.93 -0.42 0.35 16 50 H 0.05 0.36 8.14 -51.93 -0.42 -0.07 16 51 H 0.09 0.56 8.14 -51.93 -0.42 0.14 16 52 H 0.07 0.45 6.62 -51.93 -0.34 0.11 16 53 H 0.08 0.55 6.28 -51.93 -0.33 0.22 16 LS Contribution 395.74 15.07 5.96 5.96 Total: -1.00 -31.09 395.74 -8.62 -39.71 By element: Atomic # 1 Polarization: 12.49 SS G_CDS: -9.15 Total: 3.35 kcal Atomic # 6 Polarization: 4.01 SS G_CDS: 0.48 Total: 4.50 kcal Atomic # 7 Polarization: -49.26 SS G_CDS: -0.22 Total: -49.49 kcal Atomic # 8 Polarization: -19.52 SS G_CDS: -0.67 Total: -20.19 kcal Atomic # 14 Polarization: 21.18 SS G_CDS: -5.03 Total: 16.15 kcal Total LS contribution 5.96 Total: 5.96 kcal Total: -31.09 -8.62 -39.71 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. ZINC001732381009.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 -77.914 kcal (2) G-P(sol) polarization free energy of solvation -31.093 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -109.007 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.621 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.714 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.628 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.99 seconds