Wall clock time and date at job start Tue Mar 31 2020 21:01:23 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 1.53001 * 1 3 3 H 1.08999 * 109.48330 * 2 1 4 4 C 1.53275 * 109.46859 * 119.99171 * 2 1 3 5 5 C 1.53179 * 109.06361 * 177.55672 * 4 2 1 6 6 H 1.09003 * 109.54319 * 183.14730 * 5 4 2 7 7 C 1.50703 * 109.54440 * 62.97137 * 5 4 2 8 8 O 1.21283 * 119.99841 * 349.18841 * 7 5 4 9 9 N 1.34776 * 119.99807 * 169.19037 * 7 5 4 10 10 C 1.49724 * 122.75996 * 5.06422 * 9 7 5 11 11 C 1.53165 * 105.58853 * 111.58242 * 10 9 7 12 12 C 1.50955 * 111.96511 * 99.84293 * 11 10 9 13 13 H 1.09002 * 108.82676 * 57.74674 * 12 11 10 14 14 C 1.53595 * 111.30480 * 178.51734 * 12 11 10 15 15 N 1.47171 * 105.64884 * 150.29260 * 14 12 11 16 16 C 1.36947 * 126.09760 * 149.70998 * 15 14 12 17 17 H 1.07997 * 120.00026 * 347.86169 * 16 15 14 18 18 C 1.38810 * 120.00026 * 167.86618 * 16 15 14 19 19 N 1.31621 * 119.99819 * 2.39916 * 18 16 15 20 20 Si 1.86791 * 120.00095 * 182.39674 * 18 16 15 21 21 H 1.48500 * 109.47154 * 0.02562 * 20 18 16 22 22 H 1.48504 * 109.47550 * 120.00034 * 20 18 16 23 23 H 1.48507 * 109.47212 * 240.00225 * 20 18 16 24 24 C 1.46772 * 107.80201 * 329.73769 * 15 14 12 25 25 C 1.53831 * 107.91139 * 20.29334 * 24 15 14 26 26 H 1.09004 * 111.01293 * 118.48906 * 25 24 15 27 27 C 1.51856 * 109.22675 * 241.14409 * 25 24 15 28 28 C 1.43723 * 122.81285 * 185.10837 * 9 7 5 29 29 C 1.53169 * 109.11051 * 303.05680 * 5 4 2 30 30 C 1.53096 * 109.16242 * 57.02629 * 29 5 4 31 31 O 1.42900 * 109.47881 * 239.98370 * 2 1 3 32 32 H 1.08997 * 109.47339 * 180.02562 * 1 2 3 33 33 H 1.08992 * 109.46839 * 300.02100 * 1 2 3 34 34 H 1.09010 * 109.47178 * 60.01730 * 1 2 3 35 35 H 1.09000 * 109.50631 * 57.72127 * 4 2 1 36 36 H 1.09000 * 109.63831 * 297.47446 * 4 2 1 37 37 H 1.09005 * 110.21353 * 352.57126 * 10 9 7 38 38 H 1.08999 * 110.33146 * 230.66189 * 10 9 7 39 39 H 1.09001 * 108.98341 * 339.20657 * 11 10 9 40 40 H 1.08996 * 108.91975 * 220.44182 * 11 10 9 41 41 H 1.09000 * 110.21025 * 31.24763 * 14 12 11 42 42 H 1.08999 * 110.27982 * 269.37195 * 14 12 11 43 43 H 0.97001 * 119.99601 * 180.02562 * 19 18 16 44 44 H 1.09002 * 109.77891 * 260.67666 * 24 15 14 45 45 H 1.09004 * 109.79784 * 139.91645 * 24 15 14 46 46 H 1.09002 * 108.92136 * 320.65187 * 27 25 24 47 47 H 1.09006 * 108.91525 * 79.28858 * 27 25 24 48 48 H 1.09008 * 108.52933 * 116.66549 * 28 9 7 49 49 H 1.08999 * 108.38520 * 359.37603 * 28 9 7 50 50 H 1.09002 * 109.52777 * 176.92846 * 29 5 4 51 51 H 1.08999 * 109.52170 * 297.06037 * 29 5 4 52 52 H 1.08994 * 109.48277 * 62.37429 * 30 29 5 53 53 H 1.09000 * 109.48045 * 182.40900 * 30 29 5 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 1 1.8936 1.0276 0.0000 4 6 2.0409 -0.7224 1.2516 5 6 3.5714 -0.7706 1.2118 6 1 3.9410 -1.3316 2.0702 7 6 4.1212 0.6319 1.2515 8 8 3.3773 1.5792 1.1088 9 7 5.4396 0.8336 1.4456 10 6 6.4287 -0.2880 1.5185 11 6 7.2890 -0.1607 0.2577 12 6 8.6101 0.5124 0.5412 13 1 9.1388 -0.0580 1.3049 14 6 9.4753 0.5992 -0.7250 15 7 10.2996 1.8073 -0.5604 16 6 11.5564 2.0018 -1.0685 17 1 12.1079 1.1688 -1.4787 18 6 12.1214 3.2696 -1.0561 19 7 11.4688 4.2757 -0.5136 20 14 13.8079 3.5479 -1.8095 21 1 14.3263 2.2656 -2.3500 22 1 13.7015 4.5409 -2.9086 23 1 14.7366 4.0586 -0.7692 24 6 9.5348 2.7660 0.2458 25 6 8.4524 1.9843 1.0098 26 1 8.5892 2.0786 2.0871 27 6 7.0824 2.4875 0.5905 28 6 6.0127 2.1425 1.6006 29 6 4.0179 -1.4596 -0.0813 30 6 3.4307 -0.7088 -1.2794 31 8 2.0065 -0.6739 -1.1665 32 1 -0.3634 -1.0276 0.0005 33 1 -0.3633 0.5141 0.8897 34 1 -0.3634 0.5136 -0.8902 35 1 1.6448 -1.7377 1.2730 36 1 1.7164 -0.1851 2.1428 37 1 5.9107 -1.2471 1.5257 38 1 7.0489 -0.1888 2.4093 39 1 6.7456 0.4236 -0.4849 40 1 7.4774 -1.1564 -0.1437 41 1 8.8426 0.6923 -1.6077 42 1 10.1112 -0.2820 -0.8092 43 1 11.8636 5.1617 -0.5053 44 1 9.0665 3.5044 -0.4050 45 1 10.1975 3.2653 0.9528 46 1 7.1236 3.5707 0.4755 47 1 6.8200 2.0406 -0.3685 48 1 6.4451 2.2153 2.5986 49 1 5.2135 2.8794 1.5213 50 1 5.1061 -1.4491 -0.1427 51 1 3.6626 -2.4901 -0.0864 52 1 3.8190 0.3095 -1.2961 53 1 3.7099 -1.2197 -2.2009 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 ZINC000946836890.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 21:01:23 Heat of formation + Delta-G solvation = -56.856377 kcal Electronic energy + Delta-G solvation = -31580.133753 eV Core-core repulsion = 27645.162068 eV Total energy + Delta-G solvation = -3934.971685 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) -41.12793 -39.38909 -38.04696 -35.94289 -34.12555 -33.16561 -32.83494 -32.11361 -30.74744 -28.20291 -27.71198 -27.30641 -25.12002 -24.26502 -23.05626 -22.83611 -22.29629 -21.03179 -20.26137 -19.04276 -18.29973 -17.21527 -16.86050 -16.46624 -16.29948 -15.88782 -15.57857 -14.91530 -14.74909 -14.65554 -14.19660 -14.12041 -13.94933 -13.53767 -13.23979 -12.97968 -12.80828 -12.68741 -12.58650 -12.45158 -12.35389 -12.16535 -11.98561 -11.71442 -11.56952 -11.27267 -11.26310 -11.08671 -10.94312 -10.87176 -10.80367 -10.70146 -10.59931 -10.05533 -9.97268 -9.81631 -9.75176 -9.64319 -9.58129 -9.24741 -8.66740 -8.56951 -6.81485 -5.75260 -3.10114 2.48848 2.90368 3.37613 3.43501 3.45808 3.67740 4.18984 4.39796 4.46832 4.50525 4.69009 4.74325 4.81589 4.98063 5.02664 5.07824 5.22382 5.24419 5.27190 5.34733 5.36135 5.38793 5.43553 5.48594 5.52482 5.54104 5.59750 5.62419 5.68164 5.75194 5.77672 5.81245 5.92287 5.96964 6.00626 6.04774 6.12801 6.15571 6.25222 6.28760 6.41069 6.56486 6.64885 6.68912 6.82347 6.99108 7.16966 7.38157 7.55414 7.61763 7.80335 8.10215 8.28055 9.19948 9.80484 10.49911 11.36608 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.025594 B = 0.002633 C = 0.002591 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1093.760753 B =10629.989641 C =10802.064809 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.142 4.142 2 C 0.068 3.932 3 H 0.095 0.905 4 C -0.126 4.126 5 C -0.110 4.110 6 H 0.097 0.903 7 C 0.524 3.476 8 O -0.541 6.541 9 N -0.604 5.604 10 C 0.104 3.896 11 C -0.131 4.131 12 C -0.096 4.096 13 H 0.063 0.937 14 C 0.141 3.859 15 N -0.600 5.600 16 C -0.229 4.229 17 H 0.076 0.924 18 C -0.006 4.006 19 N -0.918 5.918 20 Si 0.910 3.090 21 H -0.280 1.280 22 H -0.290 1.290 23 H -0.291 1.291 24 C 0.176 3.824 25 C -0.105 4.105 26 H 0.067 0.933 27 C -0.125 4.125 28 C 0.108 3.892 29 C -0.152 4.152 30 C 0.061 3.939 31 O -0.382 6.382 32 H 0.057 0.943 33 H 0.068 0.932 34 H 0.061 0.939 35 H 0.074 0.926 36 H 0.076 0.924 37 H 0.084 0.916 38 H 0.082 0.918 39 H 0.077 0.923 40 H 0.066 0.934 41 H 0.014 0.986 42 H 0.039 0.961 43 H 0.252 0.748 44 H 0.026 0.974 45 H 0.066 0.934 46 H 0.073 0.927 47 H 0.069 0.931 48 H 0.059 0.941 49 H 0.079 0.921 50 H 0.086 0.914 51 H 0.083 0.917 52 H 0.050 0.950 53 H 0.096 0.904 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.910 -12.491 5.703 22.568 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 -0.199 4.199 2 C 0.011 3.989 3 H 0.112 0.888 4 C -0.164 4.164 5 C -0.131 4.131 6 H 0.115 0.885 7 C 0.313 3.687 8 O -0.419 6.419 9 N -0.337 5.337 10 C -0.018 4.018 11 C -0.169 4.169 12 C -0.116 4.116 13 H 0.081 0.919 14 C 0.014 3.986 15 N -0.325 5.325 16 C -0.357 4.357 17 H 0.094 0.906 18 C -0.203 4.203 19 N -0.565 5.565 20 Si 0.741 3.259 21 H -0.205 1.205 22 H -0.217 1.217 23 H -0.218 1.218 24 C 0.050 3.950 25 C -0.124 4.124 26 H 0.085 0.915 27 C -0.163 4.163 28 C -0.016 4.016 29 C -0.190 4.190 30 C -0.016 4.016 31 O -0.302 6.302 32 H 0.076 0.924 33 H 0.087 0.913 34 H 0.080 0.920 35 H 0.093 0.907 36 H 0.095 0.905 37 H 0.102 0.898 38 H 0.100 0.900 39 H 0.095 0.905 40 H 0.085 0.915 41 H 0.032 0.968 42 H 0.057 0.943 43 H 0.062 0.938 44 H 0.044 0.956 45 H 0.085 0.915 46 H 0.092 0.908 47 H 0.087 0.913 48 H 0.078 0.922 49 H 0.097 0.903 50 H 0.104 0.896 51 H 0.101 0.899 52 H 0.069 0.931 53 H 0.114 0.886 Dipole moment (debyes) X Y Z Total from point charges -18.290 -11.871 5.455 22.477 hybrid contribution 1.345 0.277 -0.106 1.377 sum -16.945 -11.594 5.349 21.217 Atomic orbital electron populations 1.21737 0.93597 1.02241 1.02318 1.22557 0.94647 0.97688 0.83981 0.88781 1.22039 0.92763 1.01729 0.99881 1.21375 0.97493 0.93895 1.00327 0.88459 1.20458 0.81228 0.91272 0.75738 1.90603 1.56994 1.44213 1.50061 1.48095 1.06257 1.08369 1.70960 1.22566 0.90384 0.89248 0.99556 1.21779 0.96566 1.01106 0.97445 1.21775 0.94547 0.95968 0.99324 0.91897 1.21248 0.92387 0.91161 0.93809 1.44335 1.14640 1.13392 1.60105 1.19072 0.89936 0.93429 1.33271 0.90587 1.24880 0.98981 0.95494 1.00952 1.69954 1.37696 1.00066 1.48787 0.86069 0.83460 0.77744 0.78637 1.20476 1.21682 1.21774 1.21165 0.90358 0.90296 0.93134 1.22270 0.95514 0.95013 0.99621 0.91471 1.21540 0.94020 1.01717 0.99042 1.20580 0.97247 0.84468 0.99259 1.22329 1.02236 1.00493 0.93930 1.22512 0.81442 0.99744 0.97866 1.87878 1.20533 1.78251 1.43525 0.92370 0.91261 0.92029 0.90692 0.90512 0.89820 0.90007 0.90499 0.91532 0.96836 0.94306 0.93763 0.95633 0.91537 0.90830 0.91297 0.92226 0.90254 0.89573 0.89865 0.93127 0.88638 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 -0.14 -1.32 9.57 37.16 0.36 -0.96 16 2 C 0.07 0.78 2.98 -26.59 -0.08 0.70 16 3 H 0.09 1.31 5.44 -51.93 -0.28 1.03 16 4 C -0.13 -1.20 4.63 -26.50 -0.12 -1.32 16 5 C -0.11 -1.02 2.19 -91.59 -0.20 -1.22 16 6 H 0.10 0.72 7.47 -51.93 -0.39 0.33 16 7 C 0.52 6.47 5.81 -10.98 -0.06 6.40 16 8 O -0.54 -8.35 13.09 5.55 0.07 -8.27 16 9 N -0.60 -7.12 2.67 -174.21 -0.47 -7.58 16 10 C 0.10 1.01 5.41 -2.16 -0.01 1.00 16 11 C -0.13 -1.54 3.68 -27.67 -0.10 -1.64 16 12 C -0.10 -1.50 2.61 -90.13 -0.24 -1.73 16 13 H 0.06 0.95 8.14 -51.93 -0.42 0.53 16 14 C 0.14 2.78 6.71 -3.37 -0.02 2.76 16 15 N -0.60 -14.99 3.37 -171.60 -0.58 -15.57 16 16 C -0.23 -6.30 10.27 -15.06 -0.15 -6.46 16 17 H 0.08 2.03 7.83 -52.49 -0.41 1.62 16 18 C -0.01 -0.18 5.48 -17.43 -0.10 -0.28 16 19 N -0.92 -26.72 10.49 55.49 0.58 -26.14 16 20 Si 0.91 21.92 29.55 -169.99 -5.02 16.89 16 21 H -0.28 -6.52 7.11 56.52 0.40 -6.12 16 22 H -0.29 -7.05 7.11 56.52 0.40 -6.65 16 23 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 24 C 0.18 4.11 5.02 -3.46 -0.02 4.09 16 25 C -0.10 -1.80 3.13 -89.56 -0.28 -2.08 16 26 H 0.07 1.10 7.77 -51.93 -0.40 0.70 16 27 C -0.12 -1.92 4.53 -28.26 -0.13 -2.05 16 28 C 0.11 1.43 5.70 -6.46 -0.04 1.40 16 29 C -0.15 -1.31 5.28 -26.59 -0.14 -1.45 16 30 C 0.06 0.66 6.62 37.21 0.25 0.90 16 31 O -0.38 -4.70 10.41 -35.23 -0.37 -5.07 16 32 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 33 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 34 H 0.06 0.58 8.14 -51.92 -0.42 0.15 16 35 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 36 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 37 H 0.08 0.61 5.15 -51.93 -0.27 0.34 16 38 H 0.08 0.78 7.85 -51.93 -0.41 0.37 16 39 H 0.08 1.02 5.58 -51.93 -0.29 0.73 16 40 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 41 H 0.01 0.28 7.96 -51.93 -0.41 -0.13 16 42 H 0.04 0.75 8.14 -51.93 -0.42 0.32 16 43 H 0.25 7.13 8.31 -40.82 -0.34 6.79 16 44 H 0.03 0.66 7.23 -51.93 -0.38 0.29 16 45 H 0.07 1.76 6.87 -51.93 -0.36 1.41 16 46 H 0.07 1.20 7.66 -51.93 -0.40 0.80 16 47 H 0.07 1.12 5.78 -51.93 -0.30 0.82 16 48 H 0.06 0.75 7.70 -51.92 -0.40 0.35 16 49 H 0.08 1.14 7.02 -51.93 -0.36 0.78 16 50 H 0.09 0.69 5.14 -51.93 -0.27 0.42 16 51 H 0.08 0.62 8.14 -51.93 -0.42 0.19 16 52 H 0.05 0.64 7.38 -51.93 -0.38 0.25 16 53 H 0.10 0.88 8.14 -51.93 -0.42 0.46 16 LS Contribution 380.06 15.07 5.73 5.73 Total: -1.00 -31.62 380.06 -10.21 -41.83 By element: Atomic # 1 Polarization: 9.19 SS G_CDS: -9.07 Total: 0.12 kcal Atomic # 6 Polarization: -0.84 SS G_CDS: -1.09 Total: -1.93 kcal Atomic # 7 Polarization: -48.83 SS G_CDS: -0.46 Total: -49.29 kcal Atomic # 8 Polarization: -13.05 SS G_CDS: -0.29 Total: -13.34 kcal Atomic # 14 Polarization: 21.92 SS G_CDS: -5.02 Total: 16.89 kcal Total LS contribution 5.73 Total: 5.73 kcal Total: -31.62 -10.21 -41.83 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. ZINC000946836890.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 -15.028 kcal (2) G-P(sol) polarization free energy of solvation -31.618 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -46.646 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.210 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.828 kcal (6) G-S(sol) free energy of system = (1) + (5) -56.856 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.20 seconds