Wall clock time and date at job start Sat Apr 11 2020 06:11:28 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 H 1.08998 * 109.47492 * 2 1 4 4 N 1.46492 * 109.47181 * 120.00852 * 2 1 3 5 5 C 1.34780 * 119.99941 * 274.99977 * 4 2 1 6 6 O 1.21516 * 119.99792 * 359.97438 * 5 4 2 7 7 O 1.34636 * 120.00201 * 180.02562 * 5 4 2 8 8 C 1.45197 * 116.99969 * 179.97438 * 7 5 4 9 9 C 1.53003 * 109.47196 * 59.99831 * 8 7 5 10 10 C 1.53005 * 109.47222 * 179.97438 * 8 7 5 11 11 C 1.53007 * 109.47124 * 299.99600 * 8 7 5 12 12 C 1.50702 * 109.46667 * 240.00516 * 2 1 3 13 13 O 1.21284 * 119.99796 * 262.92049 * 12 2 1 14 14 N 1.34776 * 120.00405 * 82.92614 * 12 2 1 15 15 C 1.46924 * 120.63217 * 174.83528 * 14 12 2 16 16 C 1.53194 * 108.77443 * 233.58369 * 15 14 12 17 17 C 1.53037 * 109.31490 * 305.36765 * 16 15 14 18 18 C 1.52994 * 109.46270 * 181.38576 * 17 16 15 19 19 C 1.50696 * 109.47369 * 64.93040 * 18 17 16 20 20 H 1.07999 * 119.99709 * 0.02562 * 19 18 17 21 21 C 1.37875 * 120.00557 * 180.02562 * 19 18 17 22 22 N 1.31517 * 120.00711 * 180.02562 * 21 19 18 23 23 Si 1.86805 * 119.99753 * 0.02562 * 21 19 18 24 24 H 1.48509 * 109.46986 * 89.99579 * 23 21 19 25 25 H 1.48498 * 109.47363 * 210.00039 * 23 21 19 26 26 H 1.48498 * 109.47166 * 329.99947 * 23 21 19 27 27 C 1.53047 * 109.54068 * 61.36270 * 17 16 15 28 28 C 1.46925 * 120.62761 * 354.81345 * 14 12 2 29 29 H 1.09000 * 109.46802 * 301.20216 * 1 2 3 30 30 H 1.08997 * 109.47187 * 61.20173 * 1 2 3 31 31 H 1.09002 * 109.47373 * 181.20491 * 1 2 3 32 32 H 0.97007 * 120.00694 * 94.99645 * 4 2 1 33 33 H 1.08995 * 109.47132 * 59.99931 * 9 8 7 34 34 H 1.08999 * 109.46729 * 179.97438 * 9 8 7 35 35 H 1.08996 * 109.46600 * 299.99829 * 9 8 7 36 36 H 1.09002 * 109.46775 * 60.00328 * 10 8 7 37 37 H 1.08999 * 109.46935 * 179.97438 * 10 8 7 38 38 H 1.08995 * 109.47169 * 300.00107 * 10 8 7 39 39 H 1.08995 * 109.46591 * 60.00325 * 11 8 7 40 40 H 1.09004 * 109.46823 * 179.97438 * 11 8 7 41 41 H 1.08994 * 109.47139 * 299.99654 * 11 8 7 42 42 H 1.08996 * 109.59019 * 353.37453 * 15 14 12 43 43 H 1.09000 * 109.58589 * 113.80227 * 15 14 12 44 44 H 1.09000 * 109.49711 * 65.31566 * 16 15 14 45 45 H 1.08994 * 109.49973 * 185.41407 * 16 15 14 46 46 H 1.09003 * 109.46304 * 301.34551 * 17 16 15 47 47 H 1.09002 * 109.47494 * 184.93211 * 18 17 16 48 48 H 1.09001 * 109.47137 * 304.93237 * 18 17 16 49 49 H 0.96993 * 120.00554 * 180.02562 * 22 21 19 50 50 H 1.08996 * 109.50156 * 178.68238 * 27 17 16 51 51 H 1.09005 * 109.51876 * 58.60087 * 27 17 16 52 52 H 1.09002 * 109.58696 * 246.20464 * 28 14 12 53 53 H 1.09007 * 109.58861 * 6.48097 * 28 14 12 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 1.8934 1.0276 0.0000 4 7 2.0183 -0.6907 1.1960 5 6 2.1470 -0.0185 2.3571 6 8 1.8585 1.1606 2.4117 7 8 2.5963 -0.6532 3.4562 8 6 2.7102 0.1334 4.6713 9 6 1.3358 0.6887 5.0502 10 6 3.2322 -0.7518 5.8049 11 6 3.6823 1.2921 4.4395 12 6 2.0322 -0.7103 -1.2306 13 8 2.3563 -1.8773 -1.1673 14 7 2.1213 -0.0488 -2.4014 15 6 2.7137 -0.6926 -3.5818 16 6 3.8243 0.2091 -4.1299 17 6 3.2581 1.6062 -4.3936 18 6 4.3560 2.5001 -4.9736 19 6 4.7705 1.9748 -6.3238 20 1 4.2978 1.0919 -6.7281 21 6 5.7532 2.6212 -7.0431 22 7 6.1147 2.1631 -8.2218 23 14 6.5714 4.1479 -6.3436 24 1 7.7613 3.7515 -5.5484 25 1 6.9929 5.0373 -7.4556 26 1 5.6103 4.8686 -5.4706 27 6 2.7501 2.2087 -3.0817 28 6 1.6274 1.3297 -2.5218 29 1 -0.3633 0.5324 0.8790 30 1 -0.3633 0.4950 -0.9005 31 1 -0.3634 -1.0274 0.0216 32 1 2.2490 -1.6320 1.1524 33 1 0.6434 -0.1367 5.2153 34 1 1.4213 1.2788 5.9626 35 1 0.9636 1.3192 4.2427 36 1 4.2114 -1.1477 5.5352 37 1 3.3182 -0.1611 6.7169 38 1 2.5395 -1.5770 5.9699 39 1 3.3099 1.9226 3.6322 40 1 3.7674 1.8829 5.3516 41 1 4.6614 0.8965 4.1697 42 1 3.1330 -1.6583 -3.2996 43 1 1.9477 -0.8332 -4.3444 44 1 4.6319 0.2756 -3.4008 45 1 4.2072 -0.2099 -5.0604 46 1 2.4343 1.5361 -5.1039 47 1 3.9784 3.5171 -5.0797 48 1 5.2161 2.4999 -4.3040 49 1 6.8062 2.6176 -8.7276 50 1 2.3684 3.2129 -3.2662 51 1 3.5676 2.2568 -2.3623 52 1 0.7727 1.3539 -3.1979 53 1 1.3274 1.6974 -1.5404 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 ZINC000496571598.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 06:11:28 Heat of formation + Delta-G solvation = -132.867575 kcal Electronic energy + Delta-G solvation = -30985.054920 eV Core-core repulsion = 26856.331091 eV Total energy + Delta-G solvation = -4128.723829 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.94 seconds Orbital eigenvalues (eV) -41.18407 -40.32056 -38.02987 -37.29683 -35.21329 -34.40432 -34.13907 -32.23344 -31.34831 -30.35115 -28.61229 -27.73088 -27.67304 -25.50988 -24.38341 -23.19820 -22.33825 -21.30026 -20.45808 -19.86285 -19.10424 -18.46417 -17.10259 -16.89576 -16.56804 -16.43972 -16.20027 -15.47898 -15.07908 -14.67358 -14.64437 -14.40885 -14.09176 -13.83381 -13.75251 -13.51156 -13.31227 -13.07862 -12.90524 -12.79922 -12.53273 -12.49764 -12.32592 -12.23751 -12.20175 -12.13079 -12.01582 -11.69076 -11.60847 -11.49478 -11.22466 -10.93778 -10.66898 -10.65177 -10.43174 -10.30783 -10.00792 -9.88496 -9.71405 -9.55425 -9.46659 -9.09173 -8.56227 -8.55940 -6.06510 -4.04250 1.76739 2.43127 2.61016 2.95029 3.28751 3.36711 3.39331 3.86389 4.17318 4.39429 4.42992 4.44262 4.58392 4.69994 4.75337 4.93799 5.14601 5.15662 5.19010 5.22420 5.23526 5.28253 5.34027 5.37014 5.43430 5.46223 5.47932 5.53228 5.54887 5.66373 5.67522 5.80385 5.82867 5.86507 5.94507 5.98573 6.09896 6.18386 6.19825 6.28277 6.36862 6.47185 6.75376 6.81438 6.94928 7.17407 7.21804 7.31895 7.39478 7.76992 7.97671 8.13589 8.50807 8.97953 9.56352 11.06656 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015598 B = 0.002363 C = 0.002197 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1794.725290 B =11844.607072 C =12742.411545 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.161 4.161 2 C 0.142 3.858 3 H 0.116 0.884 4 N -0.695 5.695 5 C 0.656 3.344 6 O -0.568 6.568 7 O -0.362 6.362 8 C 0.136 3.864 9 C -0.183 4.183 10 C -0.141 4.141 11 C -0.185 4.185 12 C 0.512 3.488 13 O -0.542 6.542 14 N -0.597 5.597 15 C 0.110 3.890 16 C -0.120 4.120 17 C -0.072 4.072 18 C -0.009 4.009 19 C -0.517 4.517 20 H 0.074 0.926 21 C 0.066 3.934 22 N -0.903 5.903 23 Si 0.878 3.122 24 H -0.278 1.278 25 H -0.289 1.289 26 H -0.266 1.266 27 C -0.135 4.135 28 C 0.100 3.900 29 H 0.075 0.925 30 H 0.077 0.923 31 H 0.067 0.933 32 H 0.415 0.585 33 H 0.059 0.941 34 H 0.070 0.930 35 H 0.088 0.912 36 H 0.067 0.933 37 H 0.080 0.920 38 H 0.066 0.934 39 H 0.089 0.911 40 H 0.070 0.930 41 H 0.060 0.940 42 H 0.087 0.913 43 H 0.068 0.932 44 H 0.057 0.943 45 H 0.091 0.909 46 H 0.066 0.934 47 H 0.016 0.984 48 H 0.010 0.990 49 H 0.262 0.738 50 H 0.074 0.926 51 H 0.062 0.938 52 H 0.075 0.925 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.643 -3.942 25.614 28.411 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 -0.219 4.219 2 C 0.035 3.965 3 H 0.134 0.866 4 N -0.357 5.357 5 C 0.409 3.591 6 O -0.457 6.457 7 O -0.277 6.277 8 C 0.099 3.901 9 C -0.240 4.240 10 C -0.198 4.198 11 C -0.242 4.242 12 C 0.299 3.701 13 O -0.420 6.420 14 N -0.330 5.330 15 C -0.012 4.012 16 C -0.158 4.158 17 C -0.091 4.091 18 C -0.046 4.046 19 C -0.555 4.555 20 H 0.092 0.908 21 C -0.135 4.135 22 N -0.542 5.542 23 Si 0.706 3.294 24 H -0.204 1.204 25 H -0.215 1.215 26 H -0.191 1.191 27 C -0.173 4.173 28 C -0.022 4.022 29 H 0.094 0.906 30 H 0.096 0.904 31 H 0.086 0.914 32 H 0.253 0.747 33 H 0.078 0.922 34 H 0.089 0.911 35 H 0.107 0.893 36 H 0.086 0.914 37 H 0.099 0.901 38 H 0.085 0.915 39 H 0.107 0.893 40 H 0.089 0.911 41 H 0.079 0.921 42 H 0.106 0.894 43 H 0.087 0.913 44 H 0.076 0.924 45 H 0.110 0.890 46 H 0.084 0.916 47 H 0.034 0.966 48 H 0.029 0.971 49 H 0.072 0.928 50 H 0.092 0.908 51 H 0.081 0.919 52 H 0.093 0.907 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -11.463 -3.938 25.589 28.315 hybrid contribution 0.721 0.568 0.170 0.933 sum -10.743 -3.370 25.760 28.113 Atomic orbital electron populations 1.22168 0.92374 1.03570 1.03834 1.20777 0.95927 0.97698 0.82113 0.86647 1.44426 1.69714 1.15096 1.06425 1.17929 0.76543 0.83607 0.81005 1.90901 1.55338 1.14610 1.84889 1.86315 1.79269 1.43792 1.18339 1.22101 0.96506 0.90918 0.80556 1.22517 0.95722 1.02206 1.03586 1.21867 1.02131 0.99953 0.95879 1.22529 0.98990 0.98421 1.04246 1.20359 0.78297 0.87018 0.84472 1.90686 1.50297 1.16089 1.84934 1.48119 1.59564 1.14899 1.10382 1.21849 0.96442 0.97275 0.85612 1.21922 0.96373 0.95567 1.01919 1.21016 0.99190 0.94822 0.94079 1.19613 0.93481 0.94996 0.96545 1.21123 1.20397 1.13238 1.00697 0.90833 1.25034 0.96578 0.97228 0.94703 1.69908 1.31117 1.40695 1.12525 0.86810 0.80101 0.83731 0.78795 1.20415 1.21482 1.19065 1.22085 0.97576 0.98687 0.98919 1.21990 0.97616 0.80832 1.01801 0.90580 0.90434 0.91406 0.74715 0.92197 0.91117 0.89299 0.91384 0.90093 0.91454 0.89270 0.91094 0.92065 0.89442 0.91344 0.92390 0.89035 0.91568 0.96562 0.97138 0.92776 0.90756 0.91887 0.90700 0.90067 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 -0.16 -1.43 9.23 37.16 0.34 -1.08 16 2 C 0.14 1.56 2.11 -69.09 -0.15 1.42 16 3 H 0.12 1.29 6.06 -51.93 -0.31 0.97 16 4 N -0.70 -7.92 5.05 -59.87 -0.30 -8.22 16 5 C 0.66 7.92 8.02 54.06 0.43 8.35 16 6 O -0.57 -7.56 11.54 -19.28 -0.22 -7.78 16 7 O -0.36 -4.03 9.94 -40.31 -0.40 -4.43 16 8 C 0.14 1.21 1.13 -90.61 -0.10 1.11 16 9 C -0.18 -1.51 8.37 37.16 0.31 -1.20 16 10 C -0.14 -0.90 8.85 37.16 0.33 -0.57 16 11 C -0.18 -1.66 8.37 37.16 0.31 -1.35 16 12 C 0.51 6.82 6.92 -10.98 -0.08 6.74 16 13 O -0.54 -8.67 15.40 5.55 0.09 -8.59 16 14 N -0.60 -7.81 2.97 -172.77 -0.51 -8.33 16 15 C 0.11 1.59 6.42 -3.71 -0.02 1.57 16 16 C -0.12 -2.05 5.19 -26.61 -0.14 -2.19 16 17 C -0.07 -1.28 2.10 -90.58 -0.19 -1.47 16 18 C -0.01 -0.20 3.52 -27.89 -0.10 -0.30 16 19 C -0.52 -13.96 8.94 -34.44 -0.31 -14.27 16 20 H 0.07 2.12 7.30 -52.49 -0.38 1.74 16 21 C 0.07 1.86 5.47 -17.82 -0.10 1.77 16 22 N -0.90 -27.33 13.96 55.43 0.77 -26.55 16 23 Si 0.88 21.39 27.47 -169.99 -4.67 16.72 16 24 H -0.28 -6.73 7.11 56.52 0.40 -6.32 16 25 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 26 H -0.27 -6.20 6.54 56.52 0.37 -5.83 16 27 C -0.13 -1.88 5.36 -26.61 -0.14 -2.02 16 28 C 0.10 1.12 5.71 -3.71 -0.02 1.10 16 29 H 0.08 0.68 8.14 -51.93 -0.42 0.25 16 30 H 0.08 0.59 7.10 -51.93 -0.37 0.22 16 31 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 32 H 0.42 4.67 7.87 -40.82 -0.32 4.35 16 33 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 35 H 0.09 0.92 5.88 -51.93 -0.31 0.61 16 36 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 37 H 0.08 0.37 8.14 -51.93 -0.42 -0.05 16 38 H 0.07 0.41 8.14 -51.93 -0.42 -0.02 16 39 H 0.09 1.00 5.88 -51.93 -0.31 0.70 16 40 H 0.07 0.50 8.14 -51.93 -0.42 0.07 16 41 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 42 H 0.09 1.33 7.04 -51.93 -0.37 0.96 16 43 H 0.07 0.93 8.14 -51.93 -0.42 0.51 16 44 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 45 H 0.09 1.76 6.91 -51.93 -0.36 1.40 16 46 H 0.07 1.19 8.14 -51.93 -0.42 0.76 16 47 H 0.02 0.37 7.20 -51.93 -0.37 -0.01 16 48 H 0.01 0.24 7.57 -51.93 -0.39 -0.16 16 49 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 50 H 0.07 0.97 8.14 -51.93 -0.42 0.54 16 51 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 52 H 0.07 0.75 8.14 -51.93 -0.42 0.33 16 53 H 0.08 0.74 5.02 -51.93 -0.26 0.48 16 LS Contribution 407.07 15.07 6.13 6.13 Total: -1.00 -31.94 407.07 -7.99 -39.93 By element: Atomic # 1 Polarization: 12.78 SS G_CDS: -9.26 Total: 3.52 kcal Atomic # 6 Polarization: -2.79 SS G_CDS: 0.38 Total: -2.40 kcal Atomic # 7 Polarization: -43.06 SS G_CDS: -0.04 Total: -43.10 kcal Atomic # 8 Polarization: -20.26 SS G_CDS: -0.54 Total: -20.80 kcal Atomic # 14 Polarization: 21.39 SS G_CDS: -4.67 Total: 16.72 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -31.94 -7.99 -39.93 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. ZINC000496571598.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 -92.940 kcal (2) G-P(sol) polarization free energy of solvation -31.938 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -124.878 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.989 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.927 kcal (6) G-S(sol) free energy of system = (1) + (5) -132.868 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds