Wall clock time and date at job start Sat Apr 11 2020 06:11:04 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 H 1.09000 * 109.47557 * 2 1 4 4 C 1.50700 * 109.47426 * 239.99871 * 2 1 3 5 5 O 1.21280 * 120.00139 * 270.53968 * 4 2 1 6 6 N 1.34783 * 120.00016 * 90.54382 * 4 2 1 7 7 C 1.46496 * 119.99745 * 354.76821 * 6 4 2 8 8 C 1.46498 * 119.99896 * 174.77493 * 6 4 2 9 9 C 1.50696 * 109.47492 * 89.99677 * 8 6 4 10 10 H 1.07998 * 120.00000 * 0.02562 * 9 8 6 11 11 C 1.37878 * 119.99905 * 179.97438 * 9 8 6 12 12 N 1.31507 * 119.99988 * 359.97438 * 11 9 8 13 13 Si 1.86795 * 119.99781 * 180.02562 * 11 9 8 14 14 H 1.48505 * 109.47364 * 59.99722 * 13 11 9 15 15 H 1.48495 * 109.47260 * 179.97438 * 13 11 9 16 16 H 1.48501 * 109.47015 * 299.99884 * 13 11 9 17 17 N 1.46911 * 109.47139 * 120.00135 * 2 1 3 18 18 C 1.47019 * 110.99927 * 178.29397 * 17 2 1 19 19 C 1.53093 * 109.38448 * 182.81614 * 18 17 2 20 20 H 1.08997 * 109.51863 * 62.56020 * 19 18 17 21 21 C 1.52998 * 109.51794 * 182.68086 * 19 18 17 22 22 O 1.43145 * 109.19446 * 302.64784 * 19 18 17 23 23 C 1.42319 * 113.80558 * 57.54691 * 22 19 18 24 24 C 1.54318 * 110.10913 * 64.97254 * 23 22 19 25 25 C 1.55097 * 101.96870 * 98.26838 * 24 23 22 26 26 O 1.44436 * 103.55499 * 36.61194 * 25 24 23 27 27 C 1.43895 * 106.99700 * 320.26504 * 26 25 24 28 28 H 1.09003 * 109.90655 * 267.00278 * 27 26 25 29 29 C 1.52990 * 110.06349 * 145.82535 * 27 26 25 30 30 C 1.47135 * 110.99591 * 301.82471 * 17 2 1 31 31 H 1.08995 * 109.47613 * 305.70551 * 1 2 3 32 32 H 1.09002 * 109.46855 * 65.71203 * 1 2 3 33 33 H 1.09005 * 109.46950 * 185.70228 * 1 2 3 34 34 H 1.08998 * 109.46860 * 94.49941 * 7 6 4 35 35 H 1.08995 * 109.47161 * 214.49880 * 7 6 4 36 36 H 1.08998 * 109.47308 * 334.49684 * 7 6 4 37 37 H 1.09001 * 109.46817 * 210.00020 * 8 6 4 38 38 H 1.09001 * 109.46857 * 329.99216 * 8 6 4 39 39 H 0.97005 * 119.99595 * 180.02562 * 12 11 9 40 40 H 1.09000 * 109.48426 * 302.78788 * 18 17 2 41 41 H 1.08995 * 109.48772 * 62.84120 * 18 17 2 42 42 H 1.08993 * 109.47238 * 59.99252 * 21 19 18 43 43 H 1.09000 * 109.47284 * 179.97438 * 21 19 18 44 44 H 1.09001 * 109.46572 * 299.99509 * 21 19 18 45 45 H 1.09000 * 110.93280 * 216.43395 * 24 23 22 46 46 H 1.08998 * 110.93348 * 340.10208 * 24 23 22 47 47 H 1.08996 * 110.60663 * 278.09897 * 25 24 23 48 48 H 1.09000 * 110.61132 * 155.13060 * 25 24 23 49 49 H 1.08999 * 109.47147 * 302.26108 * 29 27 26 50 50 H 1.09005 * 109.47286 * 62.25735 * 29 27 26 51 51 H 1.08998 * 109.47527 * 182.25629 * 29 27 26 52 52 H 1.09002 * 109.49684 * 298.65101 * 30 17 2 53 53 H 1.08998 * 109.50285 * 58.75627 * 30 17 2 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 6 2.0324 -0.7104 -1.2304 5 8 2.2252 -1.9075 -1.2033 6 7 2.2675 -0.0155 -2.3611 7 6 1.9271 1.4077 -2.4302 8 6 2.8633 -0.6833 -3.5209 9 6 1.7706 -1.2456 -4.3931 10 1 0.7357 -1.1179 -4.1119 11 6 2.0920 -1.9222 -5.5506 12 7 3.3521 -2.0765 -5.8938 13 14 0.7375 -2.6186 -6.6321 14 1 -0.1434 -1.5158 -7.0939 15 1 1.3414 -3.2946 -7.8082 16 1 -0.0625 -3.5984 -5.8541 17 7 2.0197 -0.6926 1.1995 18 6 3.4888 -0.7477 1.2132 19 6 3.9563 -1.5361 2.4394 20 1 3.5925 -2.5614 2.3735 21 6 5.4853 -1.5385 2.4931 22 8 3.4362 -0.9193 3.6218 23 6 2.0168 -0.8180 3.6401 24 6 1.3848 -2.2253 3.6766 25 6 1.0755 -2.4000 5.1863 26 8 0.6745 -1.0771 5.6050 27 6 1.5402 -0.1433 4.9348 28 1 2.3959 0.0899 5.5685 29 6 0.7734 1.1382 4.6028 30 6 1.5125 -0.0511 2.4226 31 1 -0.3634 0.5997 0.8344 32 1 -0.3633 0.4227 -0.9367 33 1 -0.3633 -1.0226 0.1021 34 1 2.8050 2.0038 -2.1810 35 1 1.5955 1.6534 -3.4390 36 1 1.1275 1.6249 -1.7220 37 1 3.4505 0.0357 -4.0922 38 1 3.5100 -1.4925 -3.1815 39 1 3.5782 -2.5522 -6.7084 40 1 3.8426 -1.2404 0.3076 41 1 3.8902 0.2647 1.2571 42 1 5.8481 -0.5130 2.5609 43 1 5.8173 -2.0996 3.3666 44 1 5.8797 -2.0044 1.5900 45 1 0.4696 -2.2567 3.0854 46 1 2.0936 -2.9795 3.3346 47 1 1.9669 -2.7194 5.7261 48 1 0.2624 -3.1113 5.3316 49 1 -0.0912 0.8946 3.9852 50 1 0.4386 1.6109 5.5262 51 1 1.4262 1.8222 4.0605 52 1 1.8683 0.9782 2.4680 53 1 0.4226 -0.0597 2.4130 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 ZINC000369303961.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 06:11:04 Heat of formation + Delta-G solvation = -103.431277 kcal Electronic energy + Delta-G solvation = -32641.363147 eV Core-core repulsion = 28513.915772 eV Total energy + Delta-G solvation = -4127.447375 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.75 seconds Orbital eigenvalues (eV) -41.16976 -39.41851 -38.05878 -35.95825 -34.78534 -33.57496 -32.69836 -31.91738 -31.37202 -30.04819 -27.89976 -27.13621 -25.91187 -25.41457 -24.88090 -23.43927 -22.92563 -21.42551 -21.01663 -19.31201 -18.34100 -17.49889 -16.71098 -16.58153 -16.46432 -16.00046 -15.65993 -15.54063 -15.23908 -14.93420 -14.51700 -14.29424 -14.06986 -13.79768 -13.57377 -13.25625 -13.15804 -12.82046 -12.65675 -12.62888 -12.45638 -12.32007 -12.18654 -12.13196 -11.93698 -11.73111 -11.68796 -11.52267 -11.40895 -11.27787 -11.17937 -11.06577 -10.92763 -10.88413 -10.59023 -10.39176 -10.16827 -9.87300 -9.66867 -9.64187 -8.84161 -8.44889 -8.27884 -7.66639 -6.05847 -4.10426 3.27382 3.30941 3.34212 3.35376 3.38250 3.53053 3.64346 4.05536 4.30926 4.43345 4.51778 4.61385 4.78124 4.88439 4.90208 5.00938 5.06129 5.09657 5.16208 5.21360 5.23039 5.23918 5.29038 5.32295 5.35319 5.43263 5.52111 5.55699 5.56494 5.60581 5.70142 5.72354 5.77519 5.81840 5.86454 5.88859 5.91599 5.94954 6.00916 6.10029 6.13962 6.28521 6.58424 6.82319 6.91506 7.07274 7.16004 7.38849 7.51412 7.90378 8.21408 8.38388 8.88638 9.08220 9.54692 11.02237 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.017601 B = 0.002951 C = 0.002857 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1590.452309 B = 9485.463565 C = 9797.302513 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.140 4.140 2 C 0.065 3.935 3 H 0.056 0.944 4 C 0.509 3.491 5 O -0.519 6.519 6 N -0.604 5.604 7 C 0.081 3.919 8 C 0.249 3.751 9 C -0.525 4.525 10 H 0.056 0.944 11 C 0.061 3.939 12 N -0.896 5.896 13 Si 0.898 3.102 14 H -0.277 1.277 15 H -0.286 1.286 16 H -0.276 1.276 17 N -0.511 5.511 18 C 0.022 3.978 19 C 0.091 3.909 20 H 0.073 0.927 21 C -0.143 4.143 22 O -0.370 6.370 23 C 0.096 3.904 24 C -0.167 4.167 25 C 0.047 3.953 26 O -0.372 6.372 27 C 0.090 3.910 28 H 0.081 0.919 29 C -0.153 4.153 30 C 0.034 3.966 31 H 0.060 0.940 32 H 0.068 0.932 33 H 0.073 0.927 34 H 0.042 0.958 35 H 0.074 0.926 36 H 0.058 0.942 37 H 0.031 0.969 38 H 0.041 0.959 39 H 0.264 0.736 40 H 0.098 0.902 41 H 0.038 0.962 42 H 0.061 0.939 43 H 0.065 0.935 44 H 0.076 0.924 45 H 0.090 0.910 46 H 0.089 0.911 47 H 0.061 0.939 48 H 0.093 0.907 49 H 0.067 0.933 50 H 0.066 0.934 51 H 0.073 0.927 52 H 0.046 0.954 53 H 0.095 0.905 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.012 7.212 20.816 22.121 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 -0.198 4.198 2 C -0.047 4.047 3 H 0.073 0.927 4 C 0.294 3.706 5 O -0.394 6.394 6 N -0.338 5.338 7 C -0.063 4.063 8 C 0.129 3.871 9 C -0.564 4.564 10 H 0.075 0.925 11 C -0.141 4.141 12 N -0.535 5.535 13 Si 0.726 3.274 14 H -0.203 1.203 15 H -0.212 1.212 16 H -0.201 1.201 17 N -0.236 5.236 18 C -0.106 4.106 19 C 0.034 3.966 20 H 0.091 0.909 21 C -0.201 4.201 22 O -0.289 6.289 23 C 0.055 3.945 24 C -0.205 4.205 25 C -0.029 4.029 26 O -0.291 6.291 27 C 0.032 3.968 28 H 0.098 0.902 29 C -0.210 4.210 30 C -0.094 4.094 31 H 0.079 0.921 32 H 0.087 0.913 33 H 0.092 0.908 34 H 0.061 0.939 35 H 0.093 0.907 36 H 0.076 0.924 37 H 0.049 0.951 38 H 0.059 0.941 39 H 0.073 0.927 40 H 0.117 0.883 41 H 0.056 0.944 42 H 0.080 0.920 43 H 0.084 0.916 44 H 0.095 0.905 45 H 0.109 0.891 46 H 0.107 0.893 47 H 0.080 0.920 48 H 0.112 0.888 49 H 0.086 0.914 50 H 0.085 0.915 51 H 0.092 0.908 52 H 0.064 0.936 53 H 0.113 0.887 Dipole moment (debyes) X Y Z Total from point charges -2.000 6.129 20.919 21.890 hybrid contribution -0.358 0.376 -1.192 1.300 sum -2.358 6.504 19.727 20.905 Atomic orbital electron populations 1.21782 0.92275 1.03640 1.02114 1.21712 0.97270 0.95727 0.89951 0.92658 1.20017 0.79077 0.87710 0.83799 1.90678 1.50866 1.14036 1.83808 1.48193 1.61592 1.09493 1.14487 1.21675 0.99106 0.82583 1.02943 1.19251 0.93765 0.92898 0.81142 1.21379 0.93201 1.35587 1.06222 0.92530 1.24930 0.95626 0.95871 0.97661 1.69918 1.16500 1.42162 1.24912 0.86562 0.81878 0.79317 0.79691 1.20271 1.21175 1.20143 1.61999 1.08847 1.52398 1.00387 1.22874 0.87623 0.99606 1.00516 1.22218 0.94424 0.96623 0.83327 0.90901 1.21741 0.92529 1.02900 1.02890 1.87863 1.18889 1.81319 1.40850 1.22327 0.82099 0.95172 0.94856 1.23563 1.02865 0.97203 0.96846 1.23587 1.00338 0.85265 0.93734 1.88925 1.56708 1.15690 1.67791 1.22474 0.93115 0.90097 0.91160 0.90154 1.22028 1.00905 0.95578 1.02511 1.22875 1.01338 0.95994 0.89176 0.92101 0.91285 0.90760 0.93901 0.90747 0.92374 0.95066 0.94085 0.92666 0.88350 0.94407 0.91953 0.91643 0.90470 0.89127 0.89254 0.92029 0.88835 0.91361 0.91531 0.90831 0.93614 0.88728 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 -0.14 -1.84 8.44 37.16 0.31 -1.52 16 2 C 0.06 0.98 1.61 -68.86 -0.11 0.87 16 3 H 0.06 0.74 6.77 -51.93 -0.35 0.39 16 4 C 0.51 10.35 5.68 -10.98 -0.06 10.29 16 5 O -0.52 -12.83 15.27 5.56 0.08 -12.75 16 6 N -0.60 -12.58 2.86 -182.96 -0.52 -13.11 16 7 C 0.08 1.26 9.87 59.84 0.59 1.86 16 8 C 0.25 6.42 5.14 -5.20 -0.03 6.40 16 9 C -0.53 -14.82 9.39 -34.44 -0.32 -15.14 16 10 H 0.06 1.60 7.81 -52.49 -0.41 1.19 16 11 C 0.06 1.74 5.46 -17.82 -0.10 1.64 16 12 N -0.90 -26.51 13.29 55.43 0.74 -25.77 16 13 Si 0.90 21.84 29.54 -169.99 -5.02 16.81 16 14 H -0.28 -6.53 7.11 56.52 0.40 -6.12 16 15 H -0.29 -6.84 7.11 56.52 0.40 -6.44 16 16 H -0.28 -6.76 7.11 56.52 0.40 -6.36 16 17 N -0.51 -7.34 4.13 -228.01 -0.94 -8.28 16 18 C 0.02 0.32 4.57 -3.71 -0.02 0.30 16 19 C 0.09 1.16 3.15 -26.68 -0.08 1.08 16 20 H 0.07 0.99 6.40 -51.93 -0.33 0.65 16 21 C -0.14 -1.53 9.57 37.16 0.36 -1.17 16 22 O -0.37 -4.67 9.87 -35.23 -0.35 -5.01 16 23 C 0.10 1.10 0.99 -89.90 -0.09 1.01 16 24 C -0.17 -1.88 5.98 -24.93 -0.15 -2.03 16 25 C 0.05 0.47 7.73 38.27 0.30 0.77 16 26 O -0.37 -4.27 11.21 -35.23 -0.39 -4.67 16 27 C 0.09 0.94 3.87 -26.44 -0.10 0.84 16 28 H 0.08 0.86 7.96 -51.93 -0.41 0.44 16 29 C -0.15 -1.29 8.40 37.15 0.31 -0.98 16 30 C 0.03 0.39 2.64 -3.97 -0.01 0.38 16 31 H 0.06 0.61 6.67 -51.93 -0.35 0.27 16 32 H 0.07 0.90 7.22 -51.93 -0.37 0.52 16 33 H 0.07 1.09 8.14 -51.93 -0.42 0.66 16 34 H 0.04 0.58 8.14 -51.93 -0.42 0.16 16 35 H 0.07 1.20 8.11 -51.93 -0.42 0.77 16 36 H 0.06 0.74 5.39 -51.93 -0.28 0.46 16 37 H 0.03 0.82 8.07 -51.93 -0.42 0.40 16 38 H 0.04 1.19 7.50 -51.93 -0.39 0.80 16 39 H 0.26 7.39 8.31 -40.82 -0.34 7.05 16 40 H 0.10 1.71 6.29 -51.93 -0.33 1.38 16 41 H 0.04 0.52 8.14 -51.93 -0.42 0.10 16 42 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 43 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 44 H 0.08 0.81 8.14 -51.93 -0.42 0.38 16 45 H 0.09 1.06 7.77 -51.93 -0.40 0.65 16 46 H 0.09 1.06 6.21 -51.93 -0.32 0.74 16 47 H 0.06 0.59 8.14 -51.93 -0.42 0.16 16 48 H 0.09 0.79 8.14 -51.93 -0.42 0.37 16 49 H 0.07 0.56 6.75 -51.93 -0.35 0.21 16 50 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 51 H 0.07 0.56 6.79 -51.93 -0.35 0.21 16 52 H 0.05 0.50 6.58 -51.93 -0.34 0.16 16 53 H 0.09 1.01 5.05 -51.93 -0.26 0.75 16 LS Contribution 398.90 15.07 6.01 6.01 Total: -1.00 -33.06 398.90 -8.64 -41.69 By element: Atomic # 1 Polarization: 9.52 SS G_CDS: -9.04 Total: 0.49 kcal Atomic # 6 Polarization: 3.79 SS G_CDS: 0.80 Total: 4.58 kcal Atomic # 7 Polarization: -46.43 SS G_CDS: -0.73 Total: -47.16 kcal Atomic # 8 Polarization: -21.77 SS G_CDS: -0.66 Total: -22.43 kcal Atomic # 14 Polarization: 21.84 SS G_CDS: -5.02 Total: 16.81 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -33.06 -8.64 -41.69 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. ZINC000369303961.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 -61.739 kcal (2) G-P(sol) polarization free energy of solvation -33.056 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -94.794 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.637 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.693 kcal (6) G-S(sol) free energy of system = (1) + (5) -103.431 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.75 seconds