Wall clock time and date at job start Tue Mar 31 2020 19:18:03 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 1.53010 * 1 3 3 C 1.53001 * 109.47051 * 2 1 4 4 C 1.52994 * 109.46804 * 180.02562 * 3 2 1 5 5 H 1.09001 * 109.50076 * 304.93410 * 4 3 2 6 6 C 1.53042 * 109.52267 * 184.85358 * 4 3 2 7 7 C 1.53048 * 109.53803 * 178.66698 * 6 4 3 8 8 C 1.53192 * 109.31223 * 61.36648 * 7 6 4 9 9 N 1.46966 * 108.88760 * 305.44280 * 8 7 6 10 10 C 1.34775 * 120.65207 * 233.53591 * 9 8 7 11 11 O 1.21352 * 119.99724 * 174.76137 * 10 9 8 12 12 C 1.49451 * 120.00017 * 354.76235 * 10 9 8 13 13 O 1.21352 * 119.99944 * 85.41465 * 12 10 9 14 14 N 1.34774 * 120.00131 * 265.41104 * 12 10 9 15 15 C 1.46930 * 120.62882 * 4.78492 * 14 12 10 16 16 C 1.53620 * 108.54067 * 126.37043 * 15 14 12 17 17 C 1.53042 * 109.24593 * 54.85629 * 16 15 14 18 18 C 1.50699 * 109.45981 * 178.49102 * 17 16 15 19 19 H 1.07996 * 119.99806 * 120.06893 * 18 17 16 20 20 C 1.37877 * 120.00026 * 300.06539 * 18 17 16 21 21 N 1.31516 * 119.99944 * 0.02562 * 20 18 17 22 22 Si 1.86802 * 119.99723 * 180.02562 * 20 18 17 23 23 H 1.48494 * 109.47583 * 60.00019 * 22 20 18 24 24 H 1.48502 * 109.46826 * 180.02562 * 22 20 18 25 25 H 1.48500 * 109.47103 * 299.99670 * 22 20 18 26 26 C 1.53044 * 109.53631 * 298.50990 * 17 16 15 27 27 C 1.46921 * 120.63161 * 185.06370 * 14 12 10 28 28 C 1.46927 * 118.71521 * 53.35574 * 9 8 7 29 29 H 1.09005 * 109.46698 * 300.00034 * 1 2 3 30 30 H 1.08996 * 109.46777 * 59.99718 * 1 2 3 31 31 H 1.08999 * 109.47014 * 179.97438 * 1 2 3 32 32 H 1.09005 * 109.46698 * 239.99966 * 2 1 3 33 33 H 1.08996 * 109.46777 * 120.00281 * 2 1 3 34 34 H 1.08996 * 109.46950 * 59.99971 * 3 2 1 35 35 H 1.09001 * 109.46865 * 299.99771 * 3 2 1 36 36 H 1.09003 * 109.46221 * 298.68797 * 6 4 3 37 37 H 1.09002 * 109.45909 * 58.64869 * 6 4 3 38 38 H 1.08998 * 109.49702 * 181.31778 * 7 6 4 39 39 H 1.09000 * 109.49531 * 301.41845 * 7 6 4 40 40 H 1.08997 * 109.58423 * 65.14889 * 8 7 6 41 41 H 1.08996 * 109.58445 * 185.57706 * 8 7 6 42 42 H 1.08997 * 109.58604 * 246.19914 * 15 14 12 43 43 H 1.08995 * 109.58531 * 6.62414 * 15 14 12 44 44 H 1.09005 * 109.63686 * 294.86470 * 16 15 14 45 45 H 1.08998 * 109.45638 * 174.74055 * 16 15 14 46 46 H 1.08997 * 109.46092 * 58.52791 * 17 16 15 47 47 H 0.97002 * 119.99760 * 179.97438 * 21 20 18 48 48 H 1.09004 * 109.49579 * 301.41671 * 26 17 16 49 49 H 1.08993 * 109.52457 * 181.33033 * 26 17 16 50 50 H 1.08999 * 109.58925 * 353.37747 * 27 14 12 51 51 H 1.09008 * 109.58421 * 113.65475 * 27 14 12 52 52 H 1.09001 * 109.58538 * 186.78030 * 28 9 8 53 53 H 1.09005 * 109.58632 * 66.49647 * 28 9 8 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 1.5301 0.0000 0.0000 3 6 2.0401 1.4425 0.0000 4 6 3.5700 1.4425 -0.0006 5 1 3.9342 0.8539 0.8415 6 6 4.0816 2.8797 0.1214 7 6 5.6117 2.8773 0.1542 8 6 6.1456 2.2835 -1.1531 9 7 5.5441 0.9577 -1.3540 10 6 6.3196 -0.1230 -1.5710 11 8 5.8179 -1.2257 -1.6407 12 6 7.7975 0.0368 -1.7259 13 8 8.5109 0.0641 -0.7447 14 7 8.3378 0.1504 -2.9553 15 6 7.4802 0.2241 -4.1461 16 6 7.8652 1.4761 -4.9487 17 6 9.3641 1.4374 -5.2555 18 6 9.7402 2.6451 -6.0747 19 1 10.4701 3.3466 -5.6986 20 6 9.1525 2.8544 -7.3042 21 7 8.2633 2.0003 -7.7619 22 14 9.6193 4.3511 -8.3198 23 1 11.0732 4.3124 -8.6192 24 1 8.8514 4.3458 -9.5909 25 1 9.3037 5.5853 -7.5566 26 6 10.1550 1.4435 -3.9453 27 6 9.7958 0.1968 -3.1309 28 6 4.0808 0.8323 -1.3097 29 1 -0.3633 0.5139 0.8900 30 1 -0.3633 0.5139 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 1.8934 -0.5139 -0.8900 33 1 1.8934 -0.5139 0.8899 34 1 1.6767 1.9563 0.8900 35 1 1.6768 1.9563 -0.8900 36 1 3.7376 3.4614 -0.7338 37 1 3.6993 3.3244 1.0403 38 1 5.9748 3.8991 0.2647 39 1 5.9566 2.2752 0.9948 40 1 5.8779 2.9337 -1.9859 41 1 7.2298 2.1880 -1.0951 42 1 7.6279 -0.6655 -4.7584 43 1 6.4360 0.2908 -3.8407 44 1 7.6360 2.3690 -4.3670 45 1 7.3032 1.4959 -5.8823 46 1 9.5968 0.5319 -5.8159 47 1 7.8495 2.1478 -8.6268 48 1 9.9041 2.3366 -3.3731 49 1 11.2227 1.4398 -4.1644 50 1 10.2799 0.2454 -2.1555 51 1 10.1287 -0.6963 -3.6599 52 1 3.8028 -0.2206 -1.3551 53 1 3.6429 1.3627 -2.1553 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001348251529.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 19:18:03 Heat of formation + Delta-G solvation = -97.660547 kcal Electronic energy + Delta-G solvation = -31000.570354 eV Core-core repulsion = 27063.829268 eV Total energy + Delta-G solvation = -3936.741086 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -40.89272 -39.19816 -37.79278 -36.88780 -35.46475 -33.63085 -32.85421 -31.42297 -31.21011 -30.20820 -27.31501 -26.46096 -25.90195 -23.87193 -23.12862 -22.60161 -21.97178 -21.10778 -20.35905 -19.45072 -18.49936 -17.50263 -16.89255 -16.35892 -16.20595 -15.75274 -14.87159 -14.68381 -14.64734 -14.59532 -14.55365 -14.27075 -13.95417 -13.63304 -13.25878 -13.21194 -13.06712 -12.84610 -12.81331 -12.69205 -12.42747 -12.34042 -11.81976 -11.74597 -11.50548 -11.48033 -11.28243 -11.17568 -11.07052 -10.97644 -10.82670 -10.73944 -10.72437 -10.48604 -10.39468 -10.16655 -9.73410 -9.32052 -9.26698 -9.05013 -8.79682 -8.45398 -8.21399 -6.08984 -4.15627 2.26091 2.32965 2.80592 3.25584 3.31071 3.33563 3.51344 4.27671 4.35711 4.39042 4.53825 4.60851 4.77868 4.88880 4.90460 4.97470 5.14748 5.20099 5.28305 5.34555 5.39807 5.43629 5.49879 5.55818 5.58352 5.64876 5.67006 5.67571 5.77890 5.81376 5.82688 5.86203 5.89422 5.99464 6.02085 6.02610 6.08558 6.14049 6.19533 6.30519 6.33386 6.53067 6.72798 6.90939 6.99609 7.11184 7.15418 7.54907 7.64011 7.82550 7.86660 7.94954 8.12854 8.32275 8.87598 9.49921 10.96534 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012992 B = 0.003090 C = 0.002841 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2154.672458 B = 9060.774014 C = 9854.063604 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 -0.130 4.130 3 C -0.111 4.111 4 C -0.103 4.103 5 H 0.075 0.925 6 C -0.115 4.115 7 C -0.133 4.133 8 C 0.103 3.897 9 N -0.597 5.597 10 C 0.524 3.476 11 O -0.520 6.520 12 C 0.511 3.489 13 O -0.534 6.534 14 N -0.579 5.579 15 C 0.102 3.898 16 C -0.119 4.119 17 C 0.048 3.952 18 C -0.513 4.513 19 H 0.055 0.945 20 C 0.062 3.938 21 N -0.891 5.891 22 Si 0.891 3.109 23 H -0.277 1.277 24 H -0.287 1.287 25 H -0.278 1.278 26 C -0.122 4.122 27 C 0.109 3.891 28 C 0.113 3.887 29 H 0.052 0.948 30 H 0.054 0.946 31 H 0.053 0.947 32 H 0.066 0.934 33 H 0.061 0.939 34 H 0.065 0.935 35 H 0.065 0.935 36 H 0.067 0.933 37 H 0.066 0.934 38 H 0.079 0.921 39 H 0.069 0.931 40 H 0.079 0.921 41 H 0.087 0.913 42 H 0.070 0.930 43 H 0.062 0.938 44 H 0.040 0.960 45 H 0.107 0.893 46 H 0.029 0.971 47 H 0.262 0.738 48 H 0.054 0.946 49 H 0.064 0.936 50 H 0.082 0.918 51 H 0.067 0.933 52 H 0.095 0.905 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.842 0.529 13.818 18.206 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 -0.168 4.168 3 C -0.149 4.149 4 C -0.122 4.122 5 H 0.094 0.906 6 C -0.152 4.152 7 C -0.171 4.171 8 C -0.019 4.019 9 N -0.331 5.331 10 C 0.307 3.693 11 O -0.395 6.395 12 C 0.293 3.707 13 O -0.412 6.412 14 N -0.312 5.312 15 C -0.020 4.020 16 C -0.158 4.158 17 C 0.029 3.971 18 C -0.551 4.551 19 H 0.073 0.927 20 C -0.139 4.139 21 N -0.530 5.530 22 Si 0.719 3.281 23 H -0.203 1.203 24 H -0.213 1.213 25 H -0.203 1.203 26 C -0.160 4.160 27 C -0.012 4.012 28 C -0.009 4.009 29 H 0.071 0.929 30 H 0.073 0.927 31 H 0.072 0.928 32 H 0.084 0.916 33 H 0.080 0.920 34 H 0.084 0.916 35 H 0.084 0.916 36 H 0.086 0.914 37 H 0.085 0.915 38 H 0.098 0.902 39 H 0.087 0.913 40 H 0.097 0.903 41 H 0.105 0.895 42 H 0.088 0.912 43 H 0.080 0.920 44 H 0.059 0.941 45 H 0.125 0.875 46 H 0.047 0.953 47 H 0.072 0.928 48 H 0.072 0.928 49 H 0.083 0.917 50 H 0.100 0.900 51 H 0.085 0.915 52 H 0.114 0.886 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -11.831 -0.095 14.102 18.408 hybrid contribution 0.182 0.834 -0.670 1.084 sum -11.649 0.738 13.432 17.796 Atomic orbital electron populations 1.21770 0.95919 1.01590 1.01647 1.21614 0.95787 0.96866 1.02494 1.21603 0.93801 0.97068 1.02383 1.21565 0.95529 0.96938 0.98184 0.90632 1.21595 0.95168 0.96090 1.02381 1.21895 0.96008 1.01623 0.97592 1.21865 0.98836 0.83015 0.98193 1.48103 1.06881 1.07906 1.70254 1.20390 0.87639 0.84754 0.76510 1.90759 1.73706 1.24689 1.50328 1.20081 0.88386 0.77909 0.84321 1.90752 1.61252 1.51254 1.37937 1.48312 1.08577 1.68550 1.05741 1.22242 0.92158 1.01961 0.85619 1.22103 1.01637 0.92292 0.99757 1.18655 0.90272 0.97761 0.90407 1.21129 1.23484 1.08393 1.02103 0.92660 1.24960 0.95020 0.96401 0.97525 1.69820 1.27746 1.35930 1.19476 0.86672 0.78625 0.83294 0.79492 1.20285 1.21314 1.20330 1.22012 1.00661 0.95100 0.98220 1.21864 0.78172 0.99974 1.01227 1.21809 0.78424 1.03244 0.97411 0.92934 0.92727 0.92823 0.91558 0.91996 0.91609 0.91593 0.91427 0.91519 0.90230 0.91269 0.90272 0.89487 0.91188 0.91961 0.94093 0.87512 0.95281 0.92838 0.92756 0.91714 0.89973 0.91492 0.88636 0.90830 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 -0.15 -1.05 9.91 37.16 0.37 -0.68 16 2 C -0.13 -1.03 5.69 -26.73 -0.15 -1.18 16 3 C -0.11 -0.82 4.69 -26.73 -0.13 -0.95 16 4 C -0.10 -0.93 2.34 -90.50 -0.21 -1.14 16 5 H 0.08 0.77 8.14 -51.93 -0.42 0.35 16 6 C -0.11 -0.95 5.17 -26.68 -0.14 -1.09 16 7 C -0.13 -1.28 6.08 -26.61 -0.16 -1.45 16 8 C 0.10 1.26 6.32 -3.69 -0.02 1.24 16 9 N -0.60 -8.24 2.98 -173.24 -0.52 -8.76 16 10 C 0.52 9.06 5.49 -11.59 -0.06 9.00 16 11 O -0.52 -10.10 16.51 5.49 0.09 -10.01 16 12 C 0.51 9.47 5.61 -11.59 -0.07 9.41 16 13 O -0.53 -10.86 16.31 5.50 0.09 -10.77 16 14 N -0.58 -10.54 2.97 -173.01 -0.51 -11.06 16 15 C 0.10 1.87 6.35 -3.49 -0.02 1.85 16 16 C -0.12 -2.52 5.17 -26.39 -0.14 -2.66 16 17 C 0.05 1.08 2.06 -91.73 -0.19 0.89 16 18 C -0.51 -13.08 8.56 -34.44 -0.29 -13.37 16 19 H 0.06 1.40 7.74 -52.49 -0.41 1.00 16 20 C 0.06 1.61 5.30 -17.82 -0.09 1.52 16 21 N -0.89 -23.74 11.30 55.43 0.63 -23.11 16 22 Si 0.89 20.24 29.54 -169.99 -5.02 15.22 16 23 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 24 H -0.29 -6.53 7.11 56.52 0.40 -6.12 16 25 H -0.28 -6.25 7.11 56.52 0.40 -5.85 16 26 C -0.12 -2.35 5.30 -26.61 -0.14 -2.49 16 27 C 0.11 1.93 6.44 -3.71 -0.02 1.90 16 28 C 0.11 1.28 5.33 -3.71 -0.02 1.26 16 29 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 30 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 31 H 0.05 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.07 0.58 6.70 -51.93 -0.35 0.23 16 33 H 0.06 0.51 8.14 -51.93 -0.42 0.08 16 34 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 35 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 36 H 0.07 0.54 8.14 -51.93 -0.42 0.11 16 37 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 38 H 0.08 0.66 8.14 -51.93 -0.42 0.23 16 39 H 0.07 0.73 8.14 -51.93 -0.42 0.31 16 40 H 0.08 0.91 8.14 -51.93 -0.42 0.49 16 41 H 0.09 1.23 6.23 -51.93 -0.32 0.90 16 42 H 0.07 1.30 8.14 -51.93 -0.42 0.87 16 43 H 0.06 1.08 6.37 -51.93 -0.33 0.75 16 44 H 0.04 0.86 8.14 -51.93 -0.42 0.43 16 45 H 0.11 2.54 6.03 -51.93 -0.31 2.23 16 46 H 0.03 0.72 8.14 -51.93 -0.42 0.30 16 47 H 0.26 6.74 8.31 -40.82 -0.34 6.40 16 48 H 0.05 1.06 8.14 -51.93 -0.42 0.63 16 49 H 0.06 1.20 8.14 -51.93 -0.42 0.77 16 50 H 0.08 1.41 7.00 -51.93 -0.36 1.05 16 51 H 0.07 1.12 8.14 -51.92 -0.42 0.70 16 52 H 0.10 1.19 5.71 -51.93 -0.30 0.90 16 53 H 0.07 0.76 8.14 -51.93 -0.42 0.33 16 LS Contribution 405.53 15.07 6.11 6.11 Total: -1.00 -29.01 405.53 -10.18 -39.19 By element: Atomic # 1 Polarization: 10.68 SS G_CDS: -9.55 Total: 1.13 kcal Atomic # 6 Polarization: 3.56 SS G_CDS: -1.49 Total: 2.07 kcal Atomic # 7 Polarization: -42.52 SS G_CDS: -0.40 Total: -42.92 kcal Atomic # 8 Polarization: -20.97 SS G_CDS: 0.18 Total: -20.79 kcal Atomic # 14 Polarization: 20.24 SS G_CDS: -5.02 Total: 15.22 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -29.01 -10.18 -39.19 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. ZINC001348251529.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 -58.472 kcal (2) G-P(sol) polarization free energy of solvation -29.013 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.485 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.176 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.188 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.661 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.94 seconds