Wall clock time and date at job start Sat Apr 11 2020 06:11:42 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 O 1.42903 * 1 3 3 C 1.42904 * 113.99906 * 2 1 4 4 H 1.08997 * 109.47204 * 330.00123 * 3 2 1 5 5 C 1.52994 * 109.46914 * 90.00161 * 3 2 1 6 6 C 1.53000 * 109.46920 * 209.99946 * 3 2 1 7 7 C 1.50700 * 109.47390 * 65.00401 * 6 3 2 8 8 O 1.21281 * 119.99653 * 359.97438 * 7 6 3 9 9 N 1.34777 * 120.00314 * 180.02562 * 7 6 3 10 10 C 1.47160 * 120.98501 * 359.97438 * 9 7 6 11 11 C 1.53299 * 108.36927 * 230.62088 * 10 9 7 12 12 H 1.09001 * 109.51049 * 67.58397 * 11 10 9 13 13 C 1.53001 * 109.50754 * 187.67408 * 11 10 9 14 14 O 1.42965 * 109.27494 * 307.63099 * 11 10 9 15 15 C 1.42979 * 114.15401 * 62.45431 * 14 11 10 16 16 C 1.52987 * 109.55207 * 57.52931 * 15 14 11 17 17 C 1.53195 * 109.34403 * 59.00802 * 16 15 14 18 18 N 1.46924 * 108.77696 * 54.57528 * 17 16 15 19 19 C 1.36937 * 120.64265 * 126.35370 * 18 17 16 20 20 H 1.07999 * 119.99778 * 207.66426 * 19 18 17 21 21 C 1.38811 * 120.00031 * 27.66406 * 19 18 17 22 22 N 1.31619 * 120.00051 * 17.37724 * 21 19 18 23 23 Si 1.86797 * 119.99988 * 197.37267 * 21 19 18 24 24 H 1.48494 * 109.47028 * 60.00373 * 23 21 19 25 25 H 1.48507 * 109.47051 * 180.02562 * 23 21 19 26 26 H 1.48498 * 109.47244 * 299.99908 * 23 21 19 27 27 C 1.46933 * 118.72004 * 306.32778 * 18 17 16 28 28 C 1.52997 * 109.52986 * 177.81179 * 15 14 11 29 29 C 1.47145 * 120.98795 * 180.02562 * 9 7 6 30 30 H 1.08990 * 109.46962 * 300.00126 * 1 2 3 31 31 H 1.09005 * 109.46509 * 59.99926 * 1 2 3 32 32 H 1.08998 * 109.46953 * 179.97438 * 1 2 3 33 33 H 1.09007 * 109.47228 * 299.99563 * 5 3 2 34 34 H 1.09003 * 109.47591 * 59.99764 * 5 3 2 35 35 H 1.09000 * 109.47343 * 180.02562 * 5 3 2 36 36 H 1.09000 * 109.47452 * 305.00202 * 6 3 2 37 37 H 1.09007 * 109.47150 * 185.00190 * 6 3 2 38 38 H 1.08998 * 109.68635 * 110.90335 * 10 9 7 39 39 H 1.09000 * 109.68346 * 350.33917 * 10 9 7 40 40 H 1.09007 * 109.46845 * 59.90994 * 13 11 10 41 41 H 1.09000 * 109.47167 * 179.90030 * 13 11 10 42 42 H 1.08997 * 109.47540 * 299.90618 * 13 11 10 43 43 H 1.08997 * 109.49482 * 178.97109 * 16 15 14 44 44 H 1.08999 * 109.48604 * 299.05060 * 16 15 14 45 45 H 1.09003 * 109.58578 * 294.78019 * 17 16 15 46 46 H 1.09000 * 109.58460 * 174.36098 * 17 16 15 47 47 H 0.96999 * 120.00280 * 179.97438 * 22 21 19 48 48 H 1.08997 * 109.58489 * 293.88789 * 27 18 17 49 49 H 1.08998 * 109.58764 * 173.46062 * 27 18 17 50 50 H 1.09005 * 109.49142 * 60.94386 * 28 15 14 51 51 H 1.09003 * 109.49337 * 181.02118 * 28 15 14 52 52 H 1.09002 * 109.67768 * 249.21936 * 29 9 7 53 53 H 1.09000 * 109.68252 * 9.75890 * 29 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 1 1.3450 1.9994 -0.5138 5 6 2.2177 1.7713 1.4425 6 6 3.3589 1.2633 -0.7212 7 6 3.1417 0.9237 -2.1733 8 8 2.0187 0.7337 -2.5902 9 7 4.1953 0.8301 -3.0085 10 6 5.5671 1.0558 -2.5258 11 6 6.2477 2.0643 -3.4585 12 1 5.7729 3.0393 -3.3490 13 6 7.7303 2.1745 -3.0972 14 8 6.1174 1.6189 -4.8108 15 6 4.7664 1.5329 -5.2709 16 6 4.0898 2.8978 -5.1301 17 6 4.8650 3.9353 -5.9483 18 7 4.9782 3.4571 -7.3329 19 6 4.5731 4.2435 -8.3782 20 1 4.2341 3.7879 -9.2969 21 6 4.5981 5.6260 -8.2571 22 7 5.3114 6.1905 -7.3058 23 14 3.6194 6.6855 -9.4441 24 1 2.1783 6.3424 -9.3411 25 1 3.8132 8.1181 -9.1042 26 1 4.0892 6.4384 -10.8310 27 6 5.5350 2.1190 -7.5745 28 6 4.7525 1.1013 -6.7386 29 6 4.0082 0.5004 -4.4303 30 1 -0.3633 0.5138 0.8899 31 1 -0.3632 0.5139 -0.8900 32 1 -0.3633 -1.0277 -0.0005 33 1 1.2568 1.8014 1.9563 34 1 2.8829 1.0774 1.9564 35 1 2.6606 2.7673 1.4425 36 1 3.9931 0.5051 -0.2618 37 1 3.8428 2.2370 -0.6443 38 1 6.1191 0.1160 -2.5357 39 1 5.5385 1.4548 -1.5118 40 1 8.2045 1.1991 -3.2069 41 1 8.2140 2.8903 -3.7618 42 1 7.8288 2.5124 -2.0656 43 1 3.0657 2.8358 -5.4980 44 1 4.0825 3.1935 -4.0810 45 1 5.8606 4.0655 -5.5240 46 1 4.3317 4.8858 -5.9325 47 1 5.3292 7.1566 -7.2214 48 1 6.5849 2.1019 -7.2821 49 1 5.4439 1.8707 -8.6319 50 1 5.2163 0.1194 -6.8334 51 1 3.7231 1.0535 -7.0939 52 1 4.4017 -0.4961 -4.6309 53 1 2.9472 0.5332 -4.6782 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 ZINC001111538447.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 06:11:42 Heat of formation + Delta-G solvation = -100.550993 kcal Electronic energy + Delta-G solvation = -32582.776714 eV Core-core repulsion = 28455.454237 eV Total energy + Delta-G solvation = -4127.322477 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.69023 -39.15125 -37.80098 -36.35078 -34.50732 -33.63620 -32.94100 -31.47199 -30.16569 -29.76597 -28.63204 -27.01347 -26.60282 -25.96289 -24.02787 -22.61330 -21.86965 -21.58476 -20.62921 -19.10041 -18.87640 -17.25608 -17.00696 -16.93456 -16.35106 -15.63969 -15.37061 -15.16210 -14.94011 -14.77664 -14.58689 -14.30262 -13.76444 -13.57297 -13.49392 -13.22556 -13.11151 -13.04495 -12.80285 -12.55304 -12.33531 -12.30198 -12.17595 -11.89935 -11.76412 -11.53853 -11.47221 -11.42119 -11.38295 -10.99822 -10.89784 -10.71207 -10.53620 -10.35304 -10.24467 -10.07004 -9.81606 -9.76211 -9.67319 -9.45989 -9.27353 -8.42034 -8.30033 -6.61067 -5.74770 -3.15801 2.68303 2.91542 3.40768 3.46109 3.47999 3.63642 3.92017 4.35121 4.53480 4.54562 4.73344 4.89563 4.93572 5.01332 5.13921 5.16432 5.19309 5.24456 5.29060 5.30795 5.36292 5.40332 5.41825 5.46509 5.50454 5.57110 5.63919 5.64590 5.68002 5.69848 5.83689 5.89295 5.94000 6.05492 6.10799 6.22551 6.32382 6.38638 6.46013 6.49847 6.59635 6.69886 6.85819 7.08330 7.09774 7.39101 7.42597 7.61410 7.72144 7.82890 8.21467 8.49324 9.26083 9.90169 10.47834 11.33749 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.013278 B = 0.003245 C = 0.002990 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2108.252458 B = 8626.436895 C = 9363.105618 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.038 3.962 2 O -0.378 6.378 3 C 0.100 3.900 4 H 0.069 0.931 5 C -0.174 4.174 6 C -0.140 4.140 7 C 0.519 3.481 8 O -0.533 6.533 9 N -0.613 5.613 10 C 0.079 3.921 11 C 0.070 3.930 12 H 0.069 0.931 13 C -0.141 4.141 14 O -0.356 6.356 15 C 0.119 3.881 16 C -0.159 4.159 17 C 0.181 3.819 18 N -0.591 5.591 19 C -0.251 4.251 20 H 0.065 0.935 21 C 0.001 3.999 22 N -0.903 5.903 23 Si 0.901 3.099 24 H -0.284 1.284 25 H -0.291 1.291 26 H -0.283 1.283 27 C 0.152 3.848 28 C -0.118 4.118 29 C 0.090 3.910 30 H 0.034 0.966 31 H 0.047 0.953 32 H 0.080 0.920 33 H 0.059 0.941 34 H 0.064 0.936 35 H 0.067 0.933 36 H 0.100 0.900 37 H 0.105 0.895 38 H 0.075 0.925 39 H 0.088 0.912 40 H 0.061 0.939 41 H 0.071 0.929 42 H 0.067 0.933 43 H 0.063 0.937 44 H 0.048 0.952 45 H 0.021 0.979 46 H 0.084 0.916 47 H 0.253 0.747 48 H 0.027 0.973 49 H 0.052 0.948 50 H 0.059 0.941 51 H 0.072 0.928 52 H 0.067 0.933 53 H 0.097 0.903 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.133 -10.965 17.415 20.610 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 -0.059 4.059 2 O -0.297 6.297 3 C 0.041 3.959 4 H 0.087 0.913 5 C -0.232 4.232 6 C -0.180 4.180 7 C 0.307 3.693 8 O -0.410 6.410 9 N -0.346 5.346 10 C -0.044 4.044 11 C 0.011 3.989 12 H 0.087 0.913 13 C -0.199 4.199 14 O -0.275 6.275 15 C 0.079 3.921 16 C -0.198 4.198 17 C 0.055 3.945 18 N -0.314 5.314 19 C -0.380 4.380 20 H 0.083 0.917 21 C -0.197 4.197 22 N -0.548 5.548 23 Si 0.731 3.269 24 H -0.211 1.211 25 H -0.217 1.217 26 H -0.209 1.209 27 C 0.025 3.975 28 C -0.157 4.157 29 C -0.032 4.032 30 H 0.053 0.947 31 H 0.065 0.935 32 H 0.099 0.901 33 H 0.078 0.922 34 H 0.083 0.917 35 H 0.086 0.914 36 H 0.118 0.882 37 H 0.123 0.877 38 H 0.093 0.907 39 H 0.106 0.894 40 H 0.080 0.920 41 H 0.090 0.910 42 H 0.086 0.914 43 H 0.081 0.919 44 H 0.066 0.934 45 H 0.039 0.961 46 H 0.102 0.898 47 H 0.063 0.937 48 H 0.045 0.955 49 H 0.071 0.929 50 H 0.077 0.923 51 H 0.091 0.909 52 H 0.085 0.915 53 H 0.115 0.885 Dipole moment (debyes) X Y Z Total from point charges -1.454 -11.096 17.094 20.431 hybrid contribution -0.810 0.877 -0.292 1.229 sum -2.264 -10.218 16.801 19.795 Atomic orbital electron populations 1.22690 0.81047 1.02356 0.99772 1.87871 1.19795 1.27022 1.94962 1.21790 0.93599 0.85864 0.94617 0.91288 1.22299 1.02580 1.01696 0.96627 1.21878 0.99082 1.04248 0.92742 1.20474 0.84285 0.76692 0.87812 1.90677 1.22921 1.49730 1.77628 1.48119 1.06443 1.70256 1.09829 1.22533 0.82576 1.00541 0.98764 1.22386 0.96754 0.96545 0.83224 0.91307 1.21697 0.93778 1.03049 1.01360 1.88026 1.25950 1.87219 1.26297 1.21725 0.81881 0.94533 0.93996 1.22697 1.00800 0.96490 0.99862 1.20637 0.96445 0.94688 0.82729 1.44024 1.71779 1.13389 1.02179 1.19159 1.36133 0.87608 0.95130 0.91748 1.25012 0.99051 0.97119 0.98514 1.70029 1.40218 1.09478 1.35050 0.86392 0.80338 0.79435 0.80754 1.21103 1.21688 1.20910 1.20789 0.94780 0.85591 0.96330 1.21996 1.01971 0.99465 0.92287 1.22410 1.02874 0.98406 0.79526 0.94699 0.93481 0.90104 0.92184 0.91701 0.91386 0.88154 0.87682 0.90721 0.89361 0.91965 0.91000 0.91365 0.91874 0.93375 0.96070 0.89804 0.93719 0.95478 0.92926 0.92257 0.90897 0.91455 0.88496 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 0.04 0.39 10.82 101.05 1.09 1.48 16 2 O -0.38 -4.74 9.58 -49.66 -0.48 -5.21 16 3 C 0.10 1.06 2.27 -26.73 -0.06 1.00 16 4 H 0.07 0.81 7.60 -51.93 -0.39 0.41 16 5 C -0.17 -1.35 9.53 37.15 0.35 -0.99 16 6 C -0.14 -1.42 3.78 -27.88 -0.11 -1.52 16 7 C 0.52 7.40 7.59 -10.99 -0.08 7.32 16 8 O -0.53 -9.47 14.89 -8.87 -0.13 -9.60 16 9 N -0.61 -8.44 2.52 -172.32 -0.43 -8.87 16 10 C 0.08 0.88 5.83 -3.53 -0.02 0.86 16 11 C 0.07 0.94 3.01 -26.58 -0.08 0.86 16 12 H 0.07 1.04 6.29 -51.93 -0.33 0.71 16 13 C -0.14 -1.56 9.57 37.16 0.36 -1.20 16 14 O -0.36 -6.07 8.65 -35.23 -0.30 -6.37 16 15 C 0.12 2.05 0.68 -90.51 -0.06 1.99 16 16 C -0.16 -3.15 4.33 -26.64 -0.12 -3.27 16 17 C 0.18 4.37 5.08 -3.71 -0.02 4.35 16 18 N -0.59 -15.01 2.99 -172.32 -0.52 -15.53 16 19 C -0.25 -6.96 9.59 -15.06 -0.14 -7.10 16 20 H 0.06 1.75 7.89 -52.49 -0.41 1.34 16 21 C 0.00 0.04 4.91 -17.43 -0.09 -0.05 16 22 N -0.90 -26.36 11.19 55.49 0.62 -25.74 16 23 Si 0.90 21.93 29.59 -169.99 -5.03 16.90 16 24 H -0.28 -6.88 7.11 56.52 0.40 -6.48 16 25 H -0.29 -7.11 7.11 56.52 0.40 -6.71 16 26 H -0.28 -6.80 7.11 56.52 0.40 -6.39 16 27 C 0.15 3.26 6.28 -3.71 -0.02 3.23 16 28 C -0.12 -2.09 5.10 -26.63 -0.14 -2.23 16 29 C 0.09 1.39 5.29 -3.58 -0.02 1.38 16 30 H 0.03 0.29 7.87 -51.93 -0.41 -0.12 16 31 H 0.05 0.53 8.09 -51.93 -0.42 0.11 16 32 H 0.08 0.73 8.14 -51.93 -0.42 0.31 16 33 H 0.06 0.44 7.87 -51.92 -0.41 0.03 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.07 0.44 8.14 -51.93 -0.42 0.01 16 36 H 0.10 0.87 8.01 -51.93 -0.42 0.45 16 37 H 0.11 0.84 7.66 -51.93 -0.40 0.44 16 38 H 0.07 0.77 8.14 -51.93 -0.42 0.34 16 39 H 0.09 0.72 6.05 -51.93 -0.31 0.40 16 40 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 41 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 42 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 43 H 0.06 1.33 8.14 -51.93 -0.42 0.91 16 44 H 0.05 0.90 6.15 -51.93 -0.32 0.58 16 45 H 0.02 0.54 7.82 -51.93 -0.41 0.14 16 46 H 0.08 2.29 6.03 -51.93 -0.31 1.97 16 47 H 0.25 7.15 8.31 -40.82 -0.34 6.81 16 48 H 0.03 0.61 7.82 -51.93 -0.41 0.20 16 49 H 0.05 1.10 7.93 -51.93 -0.41 0.69 16 50 H 0.06 0.92 8.14 -51.93 -0.42 0.50 16 51 H 0.07 1.30 8.14 -51.93 -0.42 0.88 16 52 H 0.07 0.97 8.14 -51.93 -0.42 0.55 16 53 H 0.10 1.64 7.07 -51.93 -0.37 1.27 16 LS Contribution 402.42 15.07 6.06 6.06 Total: -1.00 -33.14 402.42 -8.87 -42.01 By element: Atomic # 1 Polarization: 9.76 SS G_CDS: -9.51 Total: 0.25 kcal Atomic # 6 Polarization: 5.26 SS G_CDS: 0.85 Total: 6.11 kcal Atomic # 7 Polarization: -49.81 SS G_CDS: -0.33 Total: -50.14 kcal Atomic # 8 Polarization: -20.28 SS G_CDS: -0.91 Total: -21.19 kcal Atomic # 14 Polarization: 21.93 SS G_CDS: -5.03 Total: 16.90 kcal Total LS contribution 6.06 Total: 6.06 kcal Total: -33.14 -8.87 -42.01 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. ZINC001111538447.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 -58.544 kcal (2) G-P(sol) polarization free energy of solvation -33.138 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -91.682 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.869 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.007 kcal (6) G-S(sol) free energy of system = (1) + (5) -100.551 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds