Wall clock time and date at job start Sat Apr 11 2020 06:09:58 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 1.52996 * 109.46922 * 2 1 4 4 O 1.42901 * 109.47212 * 120.00009 * 2 1 3 5 5 C 1.42898 * 113.99987 * 90.00458 * 4 2 1 6 6 C 1.53002 * 109.47135 * 180.02562 * 5 4 2 7 7 C 1.50698 * 109.47191 * 179.97438 * 6 5 4 8 8 O 1.21282 * 120.00021 * 0.02562 * 7 6 5 9 9 N 1.34771 * 120.00308 * 179.97438 * 7 6 5 10 10 C 1.47171 * 121.07173 * 0.02562 * 9 7 6 11 11 C 1.53286 * 108.52899 * 231.28058 * 10 9 7 12 12 H 1.08994 * 109.55548 * 66.88952 * 11 10 9 13 13 C 1.53001 * 109.50822 * 187.01300 * 11 10 9 14 14 O 1.43112 * 109.22265 * 306.93258 * 11 10 9 15 15 C 1.41877 * 114.42268 * 60.88016 * 14 11 10 16 16 C 1.54364 * 110.74649 * 63.52461 * 15 14 11 17 17 C 1.54470 * 102.87882 * 83.65673 * 16 15 14 18 18 N 1.47083 * 107.29361 * 21.49669 * 17 16 15 19 19 C 1.36933 * 125.62991 * 180.97659 * 18 17 16 20 20 H 1.08000 * 120.00460 * 173.98250 * 19 18 17 21 21 C 1.38814 * 120.00039 * 353.97929 * 19 18 17 22 22 N 1.31619 * 119.99917 * 6.85739 * 21 19 18 23 23 Si 1.86800 * 120.00260 * 186.85905 * 21 19 18 24 24 H 1.48501 * 109.47101 * 94.98478 * 23 21 19 25 25 H 1.48500 * 109.47334 * 214.98807 * 23 21 19 26 26 H 1.48502 * 109.46874 * 334.98546 * 23 21 19 27 27 C 1.47566 * 108.73985 * 0.99802 * 18 17 16 28 28 C 1.47321 * 121.08074 * 179.97438 * 9 7 6 29 29 H 1.09004 * 109.47507 * 60.00184 * 1 2 3 30 30 H 1.09004 * 109.47176 * 179.97438 * 1 2 3 31 31 H 1.09001 * 109.47524 * 299.99477 * 1 2 3 32 32 H 1.08996 * 109.47400 * 240.00047 * 2 1 3 33 33 H 1.09004 * 109.47139 * 179.97438 * 3 2 1 34 34 H 1.08996 * 109.47470 * 300.00063 * 3 2 1 35 35 H 1.09005 * 109.47309 * 59.99917 * 3 2 1 36 36 H 1.08997 * 109.47738 * 59.99743 * 5 4 2 37 37 H 1.09007 * 109.47013 * 299.99715 * 5 4 2 38 38 H 1.08999 * 109.47349 * 59.99983 * 6 5 4 39 39 H 1.08996 * 109.47097 * 300.00100 * 6 5 4 40 40 H 1.09000 * 109.62568 * 111.56771 * 10 9 7 41 41 H 1.08996 * 109.62944 * 350.99136 * 10 9 7 42 42 H 1.09005 * 109.46879 * 179.74292 * 13 11 10 43 43 H 1.09001 * 109.47377 * 59.75085 * 13 11 10 44 44 H 1.08996 * 109.47649 * 299.74588 * 13 11 10 45 45 H 1.08998 * 110.73662 * 202.00544 * 16 15 14 46 46 H 1.09004 * 110.73244 * 325.31454 * 16 15 14 47 47 H 1.09004 * 109.87792 * 262.07270 * 17 16 15 48 48 H 1.08997 * 110.00384 * 140.99515 * 17 16 15 49 49 H 0.97008 * 120.00221 * 179.97438 * 22 21 19 50 50 H 1.08993 * 110.37704 * 217.85169 * 27 18 17 51 51 H 1.08996 * 110.37756 * 95.50216 * 27 18 17 52 52 H 1.09005 * 109.63438 * 11.18679 * 28 9 7 53 53 H 1.08994 * 109.81802 * 250.66274 * 28 9 7 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 2.0399 1.4425 0.0000 4 8 2.0063 -0.6736 1.1668 5 6 2.2002 -2.0782 0.9886 6 6 2.7080 -2.6926 2.2945 7 6 2.9118 -4.1739 2.1068 8 8 2.6747 -4.6875 1.0340 9 7 3.3585 -4.9278 3.1307 10 6 3.6541 -4.3292 4.4423 11 6 5.0629 -4.7586 4.8674 12 1 5.7980 -4.3111 4.1986 13 6 5.3274 -4.2950 6.3012 14 8 5.1611 -6.1848 4.8003 15 6 4.9505 -6.7271 3.5062 16 6 6.0419 -6.2447 2.5270 17 6 7.2005 -7.2321 2.7891 18 7 6.6188 -8.4360 3.4020 19 6 7.3170 -9.5428 3.8050 20 1 6.8115 -10.3375 4.3335 21 6 8.6748 -9.6436 3.5343 22 7 9.3193 -8.6216 3.0123 23 14 9.5871 -11.2295 3.9107 24 1 9.6417 -12.0713 2.6885 25 1 10.9680 -10.9126 4.3556 26 1 8.8769 -11.9655 4.9873 27 6 5.1584 -8.2543 3.5104 28 6 3.5656 -6.3779 2.9737 29 1 -0.3634 0.5138 -0.8900 30 1 -0.3634 -1.0277 -0.0005 31 1 -0.3634 0.5137 0.8900 32 1 1.8933 -0.5138 -0.8899 33 1 3.1299 1.4425 0.0005 34 1 1.6766 1.9563 -0.8899 35 1 1.6765 1.9564 0.8900 36 1 2.9320 -2.2467 0.1986 37 1 1.2538 -2.5434 0.7124 38 1 1.9758 -2.5243 3.0842 39 1 3.6541 -2.2275 2.5711 40 1 2.9278 -4.6785 5.1762 41 1 3.6096 -3.2428 4.3673 42 1 6.3276 -4.6047 6.6045 43 1 4.5909 -4.7415 6.9692 44 1 5.2524 -3.2088 6.3517 45 1 5.6962 -6.3204 1.4960 46 1 6.3451 -5.2238 2.7594 47 1 7.9240 -6.7825 3.4693 48 1 7.6879 -7.4930 1.8497 49 1 10.2682 -8.6918 2.8234 50 1 4.7905 -8.6848 4.4417 51 1 4.6551 -8.7080 2.6567 52 1 3.5005 -6.6451 1.9189 53 1 2.8080 -6.9226 3.5370 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 ZINC001131629096.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 06:09:58 Heat of formation + Delta-G solvation = -97.906133 kcal Electronic energy + Delta-G solvation = -31360.821979 eV Core-core repulsion = 27233.614192 eV Total energy + Delta-G solvation = -4127.207787 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.21 seconds Orbital eigenvalues (eV) -40.68609 -39.11131 -38.37526 -36.37899 -34.65281 -33.69881 -33.06649 -31.36295 -31.14961 -29.28519 -28.48108 -27.58659 -26.52424 -25.83526 -24.16522 -22.94073 -21.90618 -21.65542 -20.20765 -19.64613 -18.83281 -17.71394 -17.02575 -16.64206 -16.57554 -16.29233 -15.83073 -15.20222 -15.14544 -14.68013 -14.51470 -14.27596 -14.09954 -13.81559 -13.50661 -13.36216 -13.21274 -12.86567 -12.79311 -12.57884 -12.48732 -12.28373 -12.24169 -12.08445 -11.97547 -11.85719 -11.61745 -11.57182 -11.43807 -10.99665 -10.98259 -10.90967 -10.86202 -10.38149 -10.23937 -10.09637 -10.05744 -9.84314 -9.81479 -9.63117 -9.53038 -8.53608 -8.40142 -6.79006 -5.68152 -3.00304 2.49978 2.66827 3.42764 3.43339 3.48214 3.50318 3.85098 4.39824 4.50452 4.52514 4.65975 4.66597 4.75897 4.77967 4.86457 4.90805 5.02946 5.12852 5.15152 5.21715 5.23670 5.30695 5.37868 5.43692 5.46036 5.48636 5.53272 5.55731 5.58541 5.59980 5.60220 5.78633 5.80897 5.81974 5.86966 5.91587 5.99689 6.13895 6.18336 6.32517 6.48665 6.50460 6.56223 6.65475 6.94164 7.26625 7.58459 7.65661 7.68376 7.86329 8.03019 8.28656 9.25049 9.85280 10.51511 11.44171 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020324 B = 0.002340 C = 0.002272 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1377.343290 B =11962.752172 C =12319.487321 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.176 4.176 2 C 0.082 3.918 3 C -0.150 4.150 4 O -0.387 6.387 5 C 0.078 3.922 6 C -0.138 4.138 7 C 0.521 3.479 8 O -0.542 6.542 9 N -0.609 5.609 10 C 0.077 3.923 11 C 0.068 3.932 12 H 0.066 0.934 13 C -0.141 4.141 14 O -0.344 6.344 15 C 0.093 3.907 16 C -0.165 4.165 17 C 0.185 3.815 18 N -0.599 5.599 19 C -0.225 4.225 20 H 0.079 0.921 21 C -0.009 4.009 22 N -0.921 5.921 23 Si 0.911 3.089 24 H -0.289 1.289 25 H -0.292 1.292 26 H -0.281 1.281 27 C 0.153 3.847 28 C 0.097 3.903 29 H 0.064 0.936 30 H 0.057 0.943 31 H 0.063 0.937 32 H 0.061 0.939 33 H 0.062 0.938 34 H 0.068 0.932 35 H 0.063 0.937 36 H 0.059 0.941 37 H 0.057 0.943 38 H 0.101 0.899 39 H 0.102 0.898 40 H 0.078 0.922 41 H 0.092 0.908 42 H 0.071 0.929 43 H 0.063 0.937 44 H 0.069 0.931 45 H 0.065 0.935 46 H 0.061 0.939 47 H 0.043 0.957 48 H 0.045 0.955 49 H 0.251 0.749 50 H 0.050 0.950 51 H 0.037 0.963 52 H 0.102 0.898 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -16.381 18.975 -0.601 25.075 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 -0.233 4.233 2 C 0.024 3.976 3 C -0.207 4.207 4 O -0.306 6.306 5 C 0.001 3.999 6 C -0.178 4.178 7 C 0.309 3.691 8 O -0.419 6.419 9 N -0.343 5.343 10 C -0.046 4.046 11 C 0.009 3.991 12 H 0.083 0.917 13 C -0.199 4.199 14 O -0.262 6.262 15 C 0.051 3.949 16 C -0.203 4.203 17 C 0.060 3.940 18 N -0.325 5.325 19 C -0.353 4.353 20 H 0.096 0.904 21 C -0.205 4.205 22 N -0.568 5.568 23 Si 0.742 3.258 24 H -0.217 1.217 25 H -0.218 1.218 26 H -0.206 1.206 27 C 0.026 3.974 28 C -0.025 4.025 29 H 0.083 0.917 30 H 0.076 0.924 31 H 0.082 0.918 32 H 0.079 0.921 33 H 0.081 0.919 34 H 0.087 0.913 35 H 0.082 0.918 36 H 0.077 0.923 37 H 0.075 0.925 38 H 0.119 0.881 39 H 0.120 0.880 40 H 0.097 0.903 41 H 0.110 0.890 42 H 0.090 0.910 43 H 0.083 0.917 44 H 0.088 0.912 45 H 0.083 0.917 46 H 0.079 0.921 47 H 0.061 0.939 48 H 0.064 0.936 49 H 0.062 0.938 50 H 0.069 0.931 51 H 0.055 0.945 52 H 0.120 0.880 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -16.205 18.598 -0.848 24.682 hybrid contribution 0.466 -0.712 -0.168 0.868 sum -15.738 17.886 -1.017 23.846 Atomic orbital electron populations 1.22306 0.96018 1.02474 1.02522 1.22069 0.93623 0.93724 0.88181 1.21866 1.01907 0.94447 1.02466 1.87839 1.86749 1.20106 1.35944 1.22148 1.00501 0.80855 0.96356 1.21488 1.04372 0.92070 0.99862 1.20338 0.76686 0.88565 0.83500 1.90711 1.51334 1.74360 1.25503 1.48160 1.65501 1.08984 1.11641 1.22580 0.98383 0.99061 0.84621 1.22449 0.94432 0.83914 0.98281 0.91658 1.21694 1.03604 1.00428 0.94163 1.87918 1.91623 1.18304 1.28366 1.22417 0.91981 0.96822 0.83637 1.23354 0.98489 1.00231 0.98267 1.21110 0.90661 0.84456 0.97737 1.44422 0.99663 1.16357 1.72105 1.19052 0.91190 0.94770 1.30276 0.90362 1.24815 0.96560 0.97856 1.01237 1.69985 1.08544 1.28781 1.49516 0.86102 0.79151 0.82854 0.77697 1.21670 1.21846 1.20623 1.21332 0.88150 0.88816 0.99092 1.22170 0.97367 0.79298 1.03697 0.91661 0.92390 0.91791 0.92056 0.91913 0.91268 0.91805 0.92313 0.92492 0.88119 0.87993 0.90335 0.89017 0.91025 0.91744 0.91242 0.91660 0.92074 0.93917 0.93645 0.93832 0.93136 0.94534 0.87990 0.90873 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 -0.18 -1.23 9.53 37.16 0.35 -0.87 16 2 C 0.08 0.66 3.34 -26.74 -0.09 0.57 16 3 C -0.15 -0.99 9.56 37.16 0.36 -0.63 16 4 O -0.39 -3.92 9.99 -35.23 -0.35 -4.27 16 5 C 0.08 0.82 5.04 37.16 0.19 1.00 16 6 C -0.14 -1.35 4.44 -27.88 -0.12 -1.48 16 7 C 0.52 6.93 7.71 -10.99 -0.08 6.85 16 8 O -0.54 -9.07 15.47 5.56 0.09 -8.98 16 9 N -0.61 -8.02 2.95 -172.66 -0.51 -8.53 16 10 C 0.08 0.81 5.81 -3.53 -0.02 0.79 16 11 C 0.07 0.90 3.20 -26.58 -0.09 0.82 16 12 H 0.07 0.93 6.24 -51.93 -0.32 0.60 16 13 C -0.14 -1.52 9.57 37.16 0.36 -1.16 16 14 O -0.34 -6.14 9.92 -35.22 -0.35 -6.49 16 15 C 0.09 1.68 0.84 -89.61 -0.08 1.60 16 16 C -0.16 -3.25 5.88 -25.24 -0.15 -3.40 16 17 C 0.18 4.64 5.39 -2.95 -0.02 4.63 16 18 N -0.60 -15.66 3.40 -170.31 -0.58 -16.24 16 19 C -0.22 -6.37 10.26 -15.06 -0.15 -6.53 16 20 H 0.08 2.14 7.84 -52.49 -0.41 1.73 16 21 C -0.01 -0.25 5.48 -17.43 -0.10 -0.34 16 22 N -0.92 -27.55 10.35 55.49 0.57 -26.98 16 23 Si 0.91 22.45 29.56 -169.99 -5.02 17.42 16 24 H -0.29 -7.12 7.11 56.52 0.40 -6.72 16 25 H -0.29 -7.25 7.11 56.52 0.40 -6.84 16 26 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 27 C 0.15 3.23 6.42 -2.87 -0.02 3.21 16 28 C 0.10 1.48 5.30 -3.89 -0.02 1.46 16 29 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 30 H 0.06 0.43 7.87 -51.93 -0.41 0.02 16 31 H 0.06 0.45 8.14 -51.93 -0.42 0.02 16 32 H 0.06 0.48 7.79 -51.93 -0.40 0.08 16 33 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 35 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.06 0.66 8.04 -51.93 -0.42 0.24 16 37 H 0.06 0.61 7.83 -51.92 -0.41 0.20 16 38 H 0.10 0.81 8.01 -51.93 -0.42 0.40 16 39 H 0.10 0.89 7.67 -51.93 -0.40 0.49 16 40 H 0.08 0.77 8.14 -51.93 -0.42 0.34 16 41 H 0.09 0.71 6.05 -51.93 -0.31 0.40 16 42 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 43 H 0.06 0.66 8.14 -51.93 -0.42 0.23 16 44 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 45 H 0.06 1.27 7.82 -51.93 -0.41 0.86 16 46 H 0.06 1.13 6.09 -51.93 -0.32 0.81 16 47 H 0.04 1.19 7.55 -51.93 -0.39 0.80 16 48 H 0.05 1.26 7.36 -51.93 -0.38 0.88 16 49 H 0.25 7.30 8.31 -40.82 -0.34 6.96 16 50 H 0.05 1.06 8.14 -51.93 -0.42 0.63 16 51 H 0.04 0.74 7.99 -51.93 -0.42 0.33 16 52 H 0.10 1.67 6.86 -51.93 -0.36 1.31 16 53 H 0.07 1.03 8.14 -51.93 -0.42 0.61 16 LS Contribution 409.63 15.07 6.17 6.17 Total: -1.00 -33.63 409.63 -9.22 -42.84 By element: Atomic # 1 Polarization: 8.07 SS G_CDS: -9.55 Total: -1.48 kcal Atomic # 6 Polarization: 6.20 SS G_CDS: 0.32 Total: 6.52 kcal Atomic # 7 Polarization: -51.23 SS G_CDS: -0.51 Total: -51.74 kcal Atomic # 8 Polarization: -19.12 SS G_CDS: -0.62 Total: -19.74 kcal Atomic # 14 Polarization: 22.45 SS G_CDS: -5.02 Total: 17.42 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -33.63 -9.22 -42.84 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. ZINC001131629096.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 -55.063 kcal (2) G-P(sol) polarization free energy of solvation -33.628 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -88.691 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.216 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.844 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.906 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.22 seconds