Wall clock time and date at job start Sat Apr 11 2020 06:10:28 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 1.53005 * 1 3 3 H 1.09005 * 110.91050 * 2 1 4 4 C 1.54910 * 111.00221 * 236.09998 * 2 1 3 5 5 N 1.47420 * 104.82886 * 204.91038 * 4 2 1 6 6 C 1.36942 * 125.64891 * 204.15973 * 5 4 2 7 7 H 1.08001 * 119.99680 * 179.97438 * 6 5 4 8 8 C 1.38810 * 119.99674 * 359.96885 * 6 5 4 9 9 N 1.31618 * 120.00279 * 359.97438 * 8 6 5 10 10 Si 1.86807 * 119.99455 * 179.97438 * 8 6 5 11 11 H 1.48493 * 109.47264 * 60.00150 * 10 8 6 12 12 H 1.48506 * 109.46603 * 179.97438 * 10 8 6 13 13 H 1.48501 * 109.47367 * 299.99706 * 10 8 6 14 14 C 1.47016 * 108.70482 * 24.13504 * 5 4 2 15 15 C 1.54330 * 107.27083 * 358.93480 * 14 5 4 16 16 H 1.09004 * 110.71831 * 96.35138 * 15 14 5 17 17 C 1.53006 * 110.72036 * 219.44537 * 15 14 5 18 18 C 1.52995 * 109.46895 * 293.54810 * 17 15 14 19 19 N 1.46505 * 109.47004 * 180.02562 * 18 17 15 20 20 C 1.34768 * 120.00462 * 180.02562 * 19 18 17 21 21 O 1.21288 * 120.00077 * 359.97438 * 20 19 18 22 22 C 1.50698 * 120.00465 * 179.97438 * 20 19 18 23 23 O 1.42903 * 109.47169 * 179.97438 * 22 20 19 24 24 C 1.42897 * 113.99796 * 179.97438 * 23 22 20 25 25 C 1.53000 * 109.47220 * 179.97438 * 24 23 22 26 26 H 1.09002 * 110.74972 * 54.30024 * 25 24 23 27 27 C 1.55305 * 110.84837 * 177.77474 * 25 24 23 28 28 C 1.55503 * 100.69731 * 152.42225 * 27 25 24 29 29 O 1.43649 * 105.17486 * 323.57822 * 28 27 25 30 30 C 1.43232 * 109.97368 * 24.43551 * 29 28 27 31 31 H 1.09004 * 109.47165 * 296.09350 * 1 2 3 32 32 H 1.08999 * 109.47405 * 56.09769 * 1 2 3 33 33 H 1.08997 * 109.46783 * 176.09518 * 1 2 3 34 34 H 1.09003 * 110.36573 * 86.07879 * 4 2 1 35 35 H 1.08999 * 110.37041 * 323.75656 * 4 2 1 36 36 H 0.97002 * 119.99722 * 180.02562 * 9 8 6 37 37 H 1.08996 * 109.88436 * 239.52146 * 14 5 4 38 38 H 1.09001 * 110.01773 * 118.42450 * 14 5 4 39 39 H 1.08995 * 109.46593 * 173.54772 * 17 15 14 40 40 H 1.09001 * 109.46731 * 53.54833 * 17 15 14 41 41 H 1.08994 * 109.47512 * 59.99983 * 18 17 15 42 42 H 1.09001 * 109.47450 * 299.99583 * 18 17 15 43 43 H 0.97003 * 119.99621 * 359.97438 * 19 18 17 44 44 H 1.08994 * 109.47171 * 59.99588 * 22 20 19 45 45 H 1.09004 * 109.47128 * 299.99591 * 22 20 19 46 46 H 1.09000 * 109.47146 * 60.00377 * 24 23 22 47 47 H 1.09003 * 109.47483 * 300.00313 * 24 23 22 48 48 H 1.09007 * 111.12701 * 270.44253 * 27 25 24 49 49 H 1.08995 * 111.13053 * 34.60501 * 27 25 24 50 50 H 1.08999 * 110.28337 * 204.65226 * 28 27 25 51 51 H 1.09000 * 110.37770 * 82.55185 * 28 27 25 52 52 H 1.09009 * 109.83173 * 238.77615 * 30 29 28 53 53 H 1.08995 * 109.83171 * 117.80322 * 30 29 28 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 1 1.9191 1.0183 0.0000 4 6 2.0853 -0.8066 -1.2004 5 7 3.4271 -1.2429 -0.7734 6 6 4.4645 -1.5652 -1.6073 7 1 5.4132 -1.8747 -1.1942 8 6 4.2965 -1.4943 -2.9834 9 7 3.1401 -1.1178 -3.4867 10 14 5.7118 -1.9334 -4.1208 11 1 6.1210 -3.3406 -3.8814 12 1 5.2785 -1.7777 -5.5328 13 1 6.8605 -1.0313 -3.8527 14 6 3.4675 -1.2741 0.6959 15 6 2.0861 -0.8079 1.2022 16 1 1.4479 -1.6633 1.4239 17 6 2.2350 0.0876 2.4338 18 6 2.7850 -0.7363 3.5998 19 7 2.9269 0.1210 4.7794 20 6 3.3977 -0.3925 5.9330 21 8 3.7035 -1.5646 5.9949 22 6 3.5442 0.4894 7.1461 23 8 4.0578 -0.2801 8.2353 24 6 4.2360 0.4660 9.4409 25 6 4.7864 -0.4534 10.5330 26 1 5.6947 -0.9529 10.1958 27 6 5.0452 0.3385 11.8436 28 6 4.8693 -0.7880 12.9011 29 8 3.8112 -1.6171 12.3947 30 6 3.7233 -1.4835 10.9714 31 1 -0.3634 0.4520 0.9229 32 1 -0.3634 0.5732 -0.8529 33 1 -0.3633 -1.0253 -0.0700 34 1 2.1560 -0.1719 -2.0837 35 1 1.4519 -1.6703 -1.4026 36 1 3.0227 -1.0686 -4.4483 37 1 4.2426 -0.5997 1.0598 38 1 3.6663 -2.2883 1.0422 39 1 1.2619 0.4968 2.7051 40 1 2.9223 0.9032 2.2091 41 1 3.7580 -1.1456 3.3285 42 1 2.0976 -1.5519 3.8246 43 1 2.6827 1.0585 4.7297 44 1 2.5711 0.8984 7.4177 45 1 4.2313 1.3052 6.9214 46 1 3.2774 0.8751 9.7600 47 1 4.9379 1.2809 9.2636 48 1 6.0559 0.7463 11.8632 49 1 4.3034 1.1254 11.9802 50 1 4.5882 -0.3618 13.8641 51 1 5.7890 -1.3651 12.9974 52 1 2.7300 -1.1306 10.6937 53 1 3.9217 -2.4444 10.4968 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 ZINC001103487733.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 06:10:28 Heat of formation + Delta-G solvation = -115.906792 kcal Electronic energy + Delta-G solvation = -29101.459751 eV Core-core repulsion = 24973.471396 eV Total energy + Delta-G solvation = -4127.988354 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.14047 -39.71971 -38.26131 -37.69858 -35.23624 -33.41595 -33.25540 -31.36806 -30.67972 -30.12117 -28.55630 -26.61358 -25.79692 -25.42623 -23.98515 -22.82727 -22.04137 -21.28822 -20.74786 -19.67297 -19.22152 -17.68720 -17.28704 -17.08030 -16.78975 -16.46890 -16.24259 -15.66940 -15.46196 -15.14711 -14.92818 -14.40757 -14.32930 -13.93664 -13.69519 -13.57171 -13.46564 -13.03740 -12.84731 -12.79163 -12.39754 -12.17467 -12.05736 -11.99922 -11.74789 -11.65763 -11.49005 -11.43497 -11.24874 -11.12258 -11.00689 -10.84511 -10.72042 -10.16683 -10.14437 -10.01109 -9.91400 -9.87017 -9.78462 -9.69668 -9.30984 -9.15041 -8.61791 -6.78973 -5.62048 -3.03402 2.46551 2.51666 3.40743 3.42374 3.46461 3.47801 3.57210 3.93580 4.32119 4.36778 4.50837 4.51882 4.66457 4.70036 4.71339 4.77646 4.81887 4.91779 4.97086 5.05882 5.10050 5.21682 5.28181 5.30462 5.37031 5.47330 5.53821 5.56037 5.56968 5.67314 5.68372 5.77842 5.93398 5.97485 6.14299 6.24073 6.26342 6.31808 6.34824 6.53324 6.56589 6.61679 6.63269 6.71491 6.84784 7.03649 7.34047 7.57665 7.66774 7.89586 8.08305 8.39999 9.25957 9.86943 10.52408 11.41526 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020809 B = 0.001556 C = 0.001484 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1345.222201 B =17990.563969 C =18862.736757 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C -0.115 4.115 3 H 0.068 0.932 4 C 0.159 3.841 5 N -0.605 5.605 6 C -0.222 4.222 7 H 0.076 0.924 8 C -0.012 4.012 9 N -0.923 5.923 10 Si 0.914 3.086 11 H -0.286 1.286 12 H -0.290 1.290 13 H -0.286 1.286 14 C 0.139 3.861 15 C -0.093 4.093 16 H 0.073 0.927 17 C -0.115 4.115 18 C 0.119 3.881 19 N -0.728 5.728 20 C 0.509 3.491 21 O -0.518 6.518 22 C 0.045 3.955 23 O -0.361 6.361 24 C 0.071 3.929 25 C -0.122 4.122 26 H 0.097 0.903 27 C -0.149 4.149 28 C 0.051 3.949 29 O -0.387 6.387 30 C 0.059 3.941 31 H 0.042 0.958 32 H 0.052 0.948 33 H 0.051 0.949 34 H 0.104 0.896 35 H 0.011 0.989 36 H 0.252 0.748 37 H 0.022 0.978 38 H 0.019 0.981 39 H 0.065 0.935 40 H 0.069 0.931 41 H 0.074 0.926 42 H 0.068 0.932 43 H 0.399 0.601 44 H 0.080 0.920 45 H 0.080 0.920 46 H 0.055 0.945 47 H 0.057 0.943 48 H 0.087 0.913 49 H 0.081 0.919 50 H 0.086 0.914 51 H 0.062 0.938 52 H 0.072 0.928 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.944 9.575 28.531 30.158 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 -0.191 4.191 2 C -0.134 4.134 3 H 0.086 0.914 4 C 0.034 3.966 5 N -0.331 5.331 6 C -0.350 4.350 7 H 0.094 0.906 8 C -0.207 4.207 9 N -0.572 5.572 10 Si 0.744 3.256 11 H -0.212 1.212 12 H -0.216 1.216 13 H -0.212 1.212 14 C 0.013 3.987 15 C -0.112 4.112 16 H 0.091 0.909 17 C -0.153 4.153 18 C -0.004 4.004 19 N -0.381 5.381 20 C 0.294 3.706 21 O -0.392 6.392 22 C -0.035 4.035 23 O -0.279 6.279 24 C -0.006 4.006 25 C -0.140 4.140 26 H 0.115 0.885 27 C -0.187 4.187 28 C -0.025 4.025 29 O -0.307 6.307 30 C -0.017 4.017 31 H 0.061 0.939 32 H 0.071 0.929 33 H 0.070 0.930 34 H 0.122 0.878 35 H 0.029 0.971 36 H 0.062 0.938 37 H 0.040 0.960 38 H 0.037 0.963 39 H 0.084 0.916 40 H 0.088 0.912 41 H 0.092 0.908 42 H 0.086 0.914 43 H 0.233 0.767 44 H 0.098 0.902 45 H 0.098 0.902 46 H 0.074 0.926 47 H 0.075 0.925 48 H 0.106 0.894 49 H 0.100 0.900 50 H 0.104 0.896 51 H 0.080 0.920 52 H 0.090 0.910 53 H 0.093 0.907 Dipole moment (debyes) X Y Z Total from point charges -1.744 8.336 28.448 29.695 hybrid contribution 0.713 0.642 -0.801 1.250 sum -1.031 8.978 27.647 29.087 Atomic orbital electron populations 1.21636 0.95774 1.01351 1.00329 1.22636 0.94363 0.99319 0.97118 0.91399 1.21970 0.84097 0.95829 0.94712 1.44487 1.10479 1.78966 0.99143 1.19053 0.91052 1.37653 0.87259 0.90611 1.24775 0.97257 1.02101 0.96594 1.69794 1.22368 1.53980 1.11028 0.86163 0.81256 0.78214 0.79936 1.21244 1.21578 1.21219 1.21367 0.93689 0.97250 0.86376 1.22149 0.98169 0.97642 0.93284 0.90877 1.21780 1.00933 0.98677 0.93958 1.21526 1.02202 0.93300 0.83365 1.45959 1.66988 1.14051 1.11132 1.20184 0.77873 0.88613 0.83957 1.90762 1.47767 1.16775 1.83922 1.22210 1.00132 0.93924 0.87230 1.88024 1.85482 1.35518 1.18901 1.22507 0.99775 0.93900 0.84405 1.22722 1.00362 0.96700 0.94262 0.88489 1.23367 1.03376 0.98522 0.93433 1.23452 0.91143 0.90604 0.97318 1.88417 1.54240 1.66990 1.21006 1.23177 0.98649 0.99273 0.80623 0.93863 0.92903 0.93004 0.87794 0.97067 0.93764 0.96035 0.96263 0.91607 0.91206 0.90817 0.91398 0.76688 0.90249 0.90173 0.92637 0.92473 0.89394 0.90025 0.89602 0.91963 0.91014 0.90654 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 -0.13 -2.00 9.31 37.16 0.35 -1.65 16 2 C -0.11 -2.07 3.09 -88.47 -0.27 -2.35 16 3 H 0.07 1.23 8.05 -51.93 -0.42 0.81 16 4 C 0.16 3.83 5.36 -2.53 -0.01 3.81 16 5 N -0.61 -15.65 3.39 -170.08 -0.58 -16.22 16 6 C -0.22 -6.28 10.27 -15.06 -0.15 -6.43 16 7 H 0.08 2.08 7.83 -52.49 -0.41 1.67 16 8 C -0.01 -0.34 5.49 -17.43 -0.10 -0.44 16 9 N -0.92 -27.03 10.09 55.49 0.56 -26.47 16 10 Si 0.91 22.32 29.55 -169.99 -5.02 17.30 16 11 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 12 H -0.29 -7.10 7.11 56.52 0.40 -6.70 16 13 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 14 C 0.14 2.91 5.99 -3.06 -0.02 2.89 16 15 C -0.09 -1.54 2.45 -88.78 -0.22 -1.75 16 16 H 0.07 1.20 8.04 -51.93 -0.42 0.78 16 17 C -0.12 -1.42 4.72 -26.73 -0.13 -1.55 16 18 C 0.12 1.49 5.52 -4.04 -0.02 1.47 16 19 N -0.73 -7.29 5.56 -60.30 -0.33 -7.62 16 20 C 0.51 6.10 7.91 -10.99 -0.09 6.01 16 21 O -0.52 -8.91 16.50 -14.36 -0.24 -9.15 16 22 C 0.05 0.36 6.42 36.00 0.23 0.59 16 23 O -0.36 -3.67 9.78 -55.14 -0.54 -4.21 16 24 C 0.07 0.46 5.26 37.16 0.20 0.65 16 25 C -0.12 -0.83 3.25 -88.67 -0.29 -1.11 16 26 H 0.10 0.72 8.14 -51.93 -0.42 0.29 16 27 C -0.15 -0.70 6.66 -24.18 -0.16 -0.86 16 28 C 0.05 0.31 7.79 38.49 0.30 0.61 16 29 O -0.39 -3.71 11.36 -35.23 -0.40 -4.11 16 30 C 0.06 0.51 7.31 37.88 0.28 0.79 16 31 H 0.04 0.54 8.14 -51.93 -0.42 0.11 16 32 H 0.05 0.78 8.14 -51.93 -0.42 0.36 16 33 H 0.05 0.79 8.07 -51.93 -0.42 0.37 16 34 H 0.10 2.83 5.87 -51.93 -0.31 2.53 16 35 H 0.01 0.29 7.98 -51.93 -0.41 -0.12 16 36 H 0.25 7.17 8.31 -40.82 -0.34 6.83 16 37 H 0.02 0.45 7.76 -51.93 -0.40 0.04 16 38 H 0.02 0.42 8.14 -51.93 -0.42 -0.01 16 39 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 40 H 0.07 0.86 8.06 -51.93 -0.42 0.44 16 41 H 0.07 1.09 7.49 -51.93 -0.39 0.70 16 42 H 0.07 0.91 8.14 -51.93 -0.42 0.48 16 43 H 0.40 2.61 8.47 -40.82 -0.35 2.26 16 44 H 0.08 0.41 8.14 -51.93 -0.42 -0.01 16 45 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 46 H 0.06 0.28 8.00 -51.93 -0.42 -0.13 16 47 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 48 H 0.09 0.28 8.14 -51.93 -0.42 -0.14 16 49 H 0.08 0.32 8.04 -51.93 -0.42 -0.10 16 50 H 0.09 0.40 8.14 -51.93 -0.42 -0.03 16 51 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 52 H 0.07 0.60 7.72 -51.92 -0.40 0.20 16 53 H 0.08 0.72 8.14 -51.93 -0.42 0.29 16 LS Contribution 419.89 15.07 6.33 6.33 Total: -1.00 -35.33 419.89 -10.14 -45.47 By element: Atomic # 1 Polarization: 7.81 SS G_CDS: -9.81 Total: -1.99 kcal Atomic # 6 Polarization: 0.78 SS G_CDS: -0.11 Total: 0.68 kcal Atomic # 7 Polarization: -49.96 SS G_CDS: -0.35 Total: -50.32 kcal Atomic # 8 Polarization: -16.29 SS G_CDS: -1.18 Total: -17.46 kcal Atomic # 14 Polarization: 22.32 SS G_CDS: -5.02 Total: 17.30 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -35.33 -10.14 -45.47 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. ZINC001103487733.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 -70.435 kcal (2) G-P(sol) polarization free energy of solvation -35.332 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -105.767 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.139 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.471 kcal (6) G-S(sol) free energy of system = (1) + (5) -115.907 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds