Wall clock time and date at job start Sat Apr 11 2020 06:11:52 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 C 1.52996 * 109.47074 * 2 1 4 4 C 1.52995 * 109.47363 * 180.02562 * 3 2 1 5 5 C 1.52996 * 109.47363 * 180.02562 * 4 3 2 6 6 H 1.08998 * 109.47017 * 304.99133 * 5 4 3 7 7 N 1.46499 * 109.47349 * 64.99521 * 5 4 3 8 8 C 1.34777 * 119.99665 * 60.27955 * 7 5 4 9 9 N 1.34775 * 119.99585 * 179.72218 * 8 7 5 10 10 O 1.21583 * 120.00270 * 359.72083 * 8 7 5 11 11 C 1.50702 * 109.47120 * 185.00034 * 5 4 3 12 12 O 1.21287 * 119.99690 * 259.99803 * 11 5 4 13 13 N 1.34775 * 120.00529 * 79.99732 * 11 5 4 14 14 C 1.47422 * 125.64384 * 359.68933 * 13 11 5 15 15 C 1.55137 * 104.72117 * 155.81867 * 14 13 11 16 16 C 1.55160 * 101.48025 * 37.29766 * 15 14 13 17 17 C 1.53001 * 110.87508 * 82.77104 * 16 15 14 18 18 C 1.53002 * 110.71382 * 205.96926 * 16 15 14 19 19 N 1.46499 * 109.47377 * 293.52078 * 18 16 15 20 20 C 1.36937 * 120.00432 * 180.02562 * 19 18 16 21 21 H 1.08000 * 119.99819 * 359.97438 * 20 19 18 22 22 C 1.38814 * 120.00161 * 180.02562 * 20 19 18 23 23 N 1.31619 * 119.99951 * 179.97438 * 22 20 19 24 24 Si 1.86798 * 120.00000 * 359.97438 * 22 20 19 25 25 H 1.48504 * 109.46950 * 89.99937 * 24 22 20 26 26 H 1.48500 * 109.47219 * 210.00126 * 24 22 20 27 27 H 1.48503 * 109.47175 * 330.00128 * 24 22 20 28 28 C 1.47020 * 125.65168 * 180.02562 * 13 11 5 29 29 H 1.09006 * 109.47279 * 180.02562 * 1 2 3 30 30 H 1.09003 * 109.47145 * 299.99685 * 1 2 3 31 31 H 1.08991 * 109.47611 * 60.00211 * 1 2 3 32 32 H 1.08994 * 109.46879 * 239.99759 * 2 1 3 33 33 H 1.09000 * 109.47023 * 119.99756 * 2 1 3 34 34 H 1.09000 * 109.47677 * 59.99719 * 3 2 1 35 35 H 1.09006 * 109.47206 * 300.00167 * 3 2 1 36 36 H 1.09000 * 109.47279 * 59.99077 * 4 3 2 37 37 H 1.09006 * 109.46770 * 300.00035 * 4 3 2 38 38 H 0.97001 * 119.99790 * 239.99668 * 7 5 4 39 39 H 0.97000 * 120.00523 * 0.02562 * 9 8 7 40 40 H 0.97004 * 120.00164 * 179.97438 * 9 8 7 41 41 H 1.09001 * 110.37151 * 274.74780 * 14 13 11 42 42 H 1.09002 * 110.36927 * 37.07349 * 14 13 11 43 43 H 1.08997 * 111.19118 * 279.19371 * 15 14 13 44 44 H 1.09004 * 110.93654 * 155.28557 * 15 14 13 45 45 H 1.09004 * 109.46598 * 306.38469 * 17 16 15 46 46 H 1.08995 * 109.47305 * 66.38475 * 17 16 15 47 47 H 1.08997 * 109.47214 * 186.38996 * 17 16 15 48 48 H 1.08997 * 109.47593 * 53.52292 * 18 16 15 49 49 H 1.09007 * 109.47150 * 173.52736 * 18 16 15 50 50 H 0.97003 * 120.00182 * 0.02562 * 19 18 16 51 51 H 0.96992 * 119.99760 * 179.97438 * 23 22 20 52 52 H 1.09002 * 109.87804 * 300.43927 * 28 13 11 53 53 H 1.09003 * 109.88683 * 61.44392 * 28 13 11 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 2.0400 1.4425 0.0000 4 6 3.5699 1.4425 -0.0006 5 6 4.0799 2.8850 0.0000 6 1 3.6451 3.4245 -0.8414 7 7 3.6928 3.5393 1.2523 8 6 4.1224 3.0465 2.4309 9 7 3.7709 3.6517 3.5826 10 8 4.8270 2.0560 2.4550 11 6 5.5818 2.8869 -0.1245 12 8 6.2718 3.0394 0.8613 13 7 6.1583 2.7192 -1.3311 14 6 5.4431 2.5180 -2.6044 15 6 6.4374 2.9965 -3.6949 16 6 7.7909 2.5082 -3.1144 17 6 8.0275 1.0341 -3.4490 18 6 8.9442 3.3704 -3.6315 19 7 9.0968 3.1676 -5.0743 20 6 10.0729 3.8393 -5.7608 21 1 10.7300 4.5190 -5.2386 22 6 10.2171 3.6475 -7.1280 23 7 11.1550 4.2935 -7.7879 24 14 9.0802 2.4725 -8.0314 25 1 7.8853 3.2116 -8.5124 26 1 9.7973 1.8827 -9.1904 27 1 8.6541 1.3890 -7.1095 28 6 7.6046 2.6996 -1.5945 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5137 -0.8899 32 1 1.8933 -0.5138 -0.8899 33 1 1.8933 -0.5138 0.8900 34 1 1.6767 1.9564 0.8899 35 1 1.6766 1.9563 -0.8900 36 1 3.9330 0.9287 -0.8908 37 1 3.9336 0.9286 0.8892 38 1 3.1307 4.3296 1.2329 39 1 3.2084 4.4418 3.5634 40 1 4.0797 3.2969 4.4309 41 1 5.2035 1.4637 -2.7426 42 1 4.5351 3.1206 -2.6289 43 1 6.4229 4.0820 -3.7924 44 1 6.2268 2.5175 -4.6512 45 1 7.1703 0.4453 -3.1223 46 1 8.1563 0.9219 -4.5255 47 1 8.9244 0.6848 -2.9374 48 1 8.7302 4.4206 -3.4329 49 1 9.8664 3.0854 -3.1251 50 1 8.5064 2.5574 -5.5435 51 1 11.2560 4.1592 -8.7431 52 1 8.0510 3.6438 -1.2824 53 1 8.0686 1.8741 -1.0547 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 ZINC001569696152.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 06:11:52 Heat of formation + Delta-G solvation = -61.360813 kcal Electronic energy + Delta-G solvation = -31237.802628 eV Core-core repulsion = 27144.472316 eV Total energy + Delta-G solvation = -4093.330312 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -40.87547 -39.62999 -37.90417 -36.45167 -34.97136 -34.41634 -33.69323 -32.69948 -30.92670 -30.49910 -29.50292 -27.69209 -26.53129 -25.33184 -23.38157 -22.83610 -22.13947 -21.67198 -20.87051 -19.27018 -18.97629 -18.78675 -17.68313 -17.40624 -16.64357 -16.18906 -15.97639 -15.49920 -15.01687 -14.63105 -14.54719 -14.30892 -14.22698 -14.12295 -13.91225 -13.74365 -13.47934 -13.31116 -13.02134 -12.72034 -12.58558 -12.43653 -12.24339 -12.06686 -11.81141 -11.64267 -11.53701 -11.40403 -11.38780 -11.19709 -10.91400 -10.90279 -10.61087 -10.43166 -10.37458 -10.28504 -10.03814 -9.91736 -9.72184 -9.57616 -9.03086 -8.90728 -8.55406 -7.23276 -5.77120 -3.12434 2.47947 2.72054 3.01376 3.31132 3.34451 3.36051 3.43406 4.19725 4.28563 4.49489 4.55108 4.57535 4.60936 4.67108 4.71373 4.87139 4.95274 5.00642 5.09151 5.23267 5.28230 5.38794 5.40034 5.42119 5.53076 5.54472 5.57673 5.58664 5.69667 5.74818 5.85754 5.87610 5.92096 5.95057 5.96412 6.07559 6.10869 6.18585 6.21802 6.31030 6.37409 6.47335 6.49635 6.65798 6.73371 6.76019 7.55440 7.77942 7.99568 8.23925 8.41880 8.60068 9.20969 9.92901 10.13070 11.41482 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.016049 B = 0.002551 C = 0.002299 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1744.226699 B =10972.196137 C =12178.781201 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.125 4.125 3 C -0.111 4.111 4 C -0.135 4.135 5 C 0.159 3.841 6 H 0.107 0.893 7 N -0.733 5.733 8 C 0.711 3.289 9 N -0.872 5.872 10 O -0.563 6.563 11 C 0.512 3.488 12 O -0.508 6.508 13 N -0.617 5.617 14 C 0.097 3.903 15 C -0.120 4.120 16 C -0.082 4.082 17 C -0.134 4.134 18 C 0.173 3.827 19 N -0.752 5.752 20 C -0.242 4.242 21 H 0.090 0.910 22 C 0.003 3.997 23 N -0.934 5.934 24 Si 0.883 3.117 25 H -0.284 1.284 26 H -0.291 1.291 27 H -0.277 1.277 28 C 0.123 3.877 29 H 0.052 0.948 30 H 0.051 0.949 31 H 0.053 0.947 32 H 0.062 0.938 33 H 0.061 0.939 34 H 0.061 0.939 35 H 0.061 0.939 36 H 0.074 0.926 37 H 0.095 0.905 38 H 0.398 0.602 39 H 0.392 0.608 40 H 0.413 0.587 41 H 0.069 0.931 42 H 0.072 0.928 43 H 0.082 0.918 44 H 0.083 0.917 45 H 0.049 0.951 46 H 0.065 0.935 47 H 0.059 0.941 48 H 0.030 0.970 49 H 0.030 0.970 50 H 0.361 0.639 51 H 0.259 0.741 52 H 0.069 0.931 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -25.043 -3.987 18.657 31.483 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 -0.209 4.209 2 C -0.163 4.163 3 C -0.149 4.149 4 C -0.173 4.173 5 C 0.050 3.950 6 H 0.125 0.875 7 N -0.390 5.390 8 C 0.409 3.591 9 N -0.440 5.440 10 O -0.437 6.437 11 C 0.298 3.702 12 O -0.381 6.381 13 N -0.353 5.353 14 C -0.026 4.026 15 C -0.158 4.158 16 C -0.083 4.083 17 C -0.191 4.191 18 C 0.046 3.954 19 N -0.398 5.398 20 C -0.372 4.372 21 H 0.108 0.892 22 C -0.192 4.192 23 N -0.583 5.583 24 Si 0.714 3.286 25 H -0.211 1.211 26 H -0.218 1.218 27 H -0.203 1.203 28 C 0.000 4.000 29 H 0.072 0.928 30 H 0.071 0.929 31 H 0.073 0.927 32 H 0.081 0.919 33 H 0.080 0.920 34 H 0.080 0.920 35 H 0.079 0.921 36 H 0.093 0.907 37 H 0.113 0.887 38 H 0.232 0.768 39 H 0.219 0.781 40 H 0.245 0.755 41 H 0.087 0.913 42 H 0.091 0.909 43 H 0.101 0.899 44 H 0.102 0.898 45 H 0.068 0.932 46 H 0.084 0.916 47 H 0.078 0.922 48 H 0.048 0.952 49 H 0.048 0.952 50 H 0.195 0.805 51 H 0.069 0.931 52 H 0.088 0.912 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges -23.890 -4.614 19.097 30.931 hybrid contribution -1.080 -0.082 -0.585 1.231 sum -24.969 -4.696 18.512 31.436 Atomic orbital electron populations 1.21766 0.95916 1.01567 1.01641 1.21513 0.95703 0.96819 1.02238 1.21541 0.94437 0.97040 1.01871 1.21998 0.96011 0.94405 1.04909 1.20662 0.91908 0.96118 0.86361 0.87519 1.44702 1.56556 1.33516 1.04243 1.15831 0.79549 0.83203 0.80501 1.42972 1.58844 1.34408 1.07806 1.90971 1.39976 1.26980 1.85793 1.20512 0.90455 0.77426 0.81781 1.90769 1.64292 1.47473 1.35592 1.48499 1.07785 1.72343 1.06646 1.22489 0.95888 1.00746 0.83484 1.22893 0.93244 1.02198 0.97424 1.21845 0.96350 0.97098 0.93000 1.21782 1.01125 0.93681 1.02528 1.20571 0.93747 0.95648 0.85461 1.42686 1.40251 1.53485 1.03389 1.19060 1.08130 1.19060 0.90911 0.89243 1.24668 0.98498 0.99761 0.96299 1.69699 1.34802 1.45601 1.08160 0.86573 0.80910 0.81428 0.79737 1.21089 1.21763 1.20317 1.21954 0.80682 1.02172 0.95201 0.92839 0.92940 0.92747 0.91903 0.92021 0.91990 0.92056 0.90715 0.88656 0.76808 0.78060 0.75529 0.91272 0.90934 0.89898 0.89798 0.93215 0.91615 0.92209 0.95214 0.95207 0.80537 0.93078 0.91232 0.91432 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.15 -0.89 9.91 37.16 0.37 -0.52 16 2 C -0.13 -0.86 5.93 -26.73 -0.16 -1.02 16 3 C -0.11 -0.75 5.10 -26.74 -0.14 -0.89 16 4 C -0.13 -1.23 4.53 -26.74 -0.12 -1.35 16 5 C 0.16 1.50 2.42 -69.08 -0.17 1.33 16 6 H 0.11 0.70 6.92 -51.93 -0.36 0.34 16 7 N -0.73 -6.20 4.66 -59.82 -0.28 -6.48 16 8 C 0.71 8.03 7.59 -86.92 -0.66 7.37 16 9 N -0.87 -6.04 8.88 27.63 0.25 -5.79 16 10 O -0.56 -9.20 13.03 -18.24 -0.24 -9.44 16 11 C 0.51 7.11 6.84 -10.99 -0.08 7.04 16 12 O -0.51 -9.34 13.99 -17.98 -0.25 -9.59 16 13 N -0.62 -7.91 3.32 -170.38 -0.57 -8.47 16 14 C 0.10 0.98 5.91 -2.41 -0.01 0.96 16 15 C -0.12 -1.51 5.74 -24.46 -0.14 -1.65 16 16 C -0.08 -1.20 0.61 -152.67 -0.09 -1.29 16 17 C -0.13 -1.91 8.28 37.16 0.31 -1.61 16 18 C 0.17 3.26 5.08 -4.04 -0.02 3.24 16 19 N -0.75 -17.18 4.96 -59.91 -0.30 -17.48 16 20 C -0.24 -6.74 10.47 -15.06 -0.16 -6.90 16 21 H 0.09 2.70 8.06 -52.49 -0.42 2.27 16 22 C 0.00 0.10 5.50 -17.43 -0.10 0.00 16 23 N -0.93 -29.22 13.97 55.49 0.78 -28.44 16 24 Si 0.88 21.60 27.73 -169.99 -4.71 16.89 16 25 H -0.28 -6.85 7.11 56.52 0.40 -6.44 16 26 H -0.29 -7.28 7.11 56.52 0.40 -6.88 16 27 H -0.28 -6.27 6.52 56.52 0.37 -5.90 16 28 C 0.12 1.77 6.04 -3.07 -0.02 1.75 16 29 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 30 H 0.05 0.30 8.14 -51.93 -0.42 -0.13 16 31 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 33 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 34 H 0.06 0.43 7.75 -51.93 -0.40 0.03 16 35 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 36 H 0.07 0.66 7.39 -51.93 -0.38 0.27 16 37 H 0.09 1.20 6.05 -51.93 -0.31 0.89 16 38 H 0.40 1.93 8.84 -40.82 -0.36 1.57 16 39 H 0.39 1.34 8.84 -40.82 -0.36 0.98 16 40 H 0.41 2.66 8.93 -40.82 -0.36 2.29 16 41 H 0.07 0.63 7.41 -51.93 -0.38 0.24 16 42 H 0.07 0.55 6.92 -51.93 -0.36 0.19 16 43 H 0.08 1.10 8.02 -51.93 -0.42 0.69 16 44 H 0.08 1.05 8.04 -51.93 -0.42 0.63 16 45 H 0.05 0.61 7.41 -51.93 -0.38 0.22 16 46 H 0.06 1.05 6.69 -51.93 -0.35 0.70 16 47 H 0.06 0.86 8.14 -51.93 -0.42 0.44 16 48 H 0.03 0.58 8.10 -51.93 -0.42 0.16 16 49 H 0.03 0.59 8.14 -51.92 -0.42 0.16 16 50 H 0.36 7.94 4.08 -40.82 -0.17 7.77 16 51 H 0.26 7.71 8.31 -40.82 -0.34 7.37 16 52 H 0.07 1.07 7.82 -51.93 -0.41 0.67 16 53 H 0.07 1.02 7.85 -51.93 -0.41 0.61 16 LS Contribution 409.80 15.07 6.18 6.18 Total: -1.00 -37.76 409.80 -9.56 -47.32 By element: Atomic # 1 Polarization: 18.09 SS G_CDS: -9.23 Total: 8.86 kcal Atomic # 6 Polarization: 7.64 SS G_CDS: -1.18 Total: 6.46 kcal Atomic # 7 Polarization: -66.54 SS G_CDS: -0.12 Total: -66.66 kcal Atomic # 8 Polarization: -18.55 SS G_CDS: -0.49 Total: -19.04 kcal Atomic # 14 Polarization: 21.60 SS G_CDS: -4.71 Total: 16.89 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -37.76 -9.56 -47.32 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. ZINC001569696152.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 -14.042 kcal (2) G-P(sol) polarization free energy of solvation -37.756 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -51.798 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.562 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -47.319 kcal (6) G-S(sol) free energy of system = (1) + (5) -61.361 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds