Wall clock time and date at job start Sat Apr 11 2020 06:12:58 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 N 1.46505 * 1 3 3 C 1.34779 * 120.00059 * 2 1 4 4 O 1.21581 * 119.99744 * 0.02562 * 3 2 1 5 5 N 1.34774 * 119.99626 * 179.97438 * 3 2 1 6 6 C 1.46501 * 119.99526 * 179.97438 * 5 3 2 7 7 C 1.53008 * 109.46960 * 184.50477 * 6 5 3 8 8 H 1.08998 * 109.58544 * 308.60700 * 7 6 5 9 9 C 1.53189 * 109.70212 * 188.24929 * 7 6 5 10 10 C 1.53040 * 109.31144 * 185.51060 * 9 7 6 11 11 C 1.53041 * 109.54201 * 61.36141 * 10 9 7 12 12 C 1.53623 * 109.24011 * 298.51567 * 11 10 9 13 13 N 1.46922 * 108.54502 * 54.85677 * 12 11 10 14 14 C 1.34776 * 120.63122 * 126.36952 * 13 12 11 15 15 O 1.21590 * 119.99488 * 185.78572 * 14 13 12 16 16 N 1.34775 * 120.00121 * 5.78149 * 14 13 12 17 17 C 1.46499 * 119.99692 * 185.15574 * 16 14 13 18 18 C 1.53000 * 109.47090 * 180.02562 * 17 16 14 19 19 C 1.53006 * 109.47139 * 59.99550 * 18 17 16 20 20 C 1.52997 * 109.47121 * 300.00253 * 18 17 16 21 21 C 1.50695 * 109.47463 * 179.97438 * 18 17 16 22 22 H 1.08000 * 119.99770 * 3.78681 * 21 18 17 23 23 C 1.37876 * 120.00144 * 183.79085 * 21 18 17 24 24 N 1.31513 * 119.99864 * 353.69830 * 23 21 18 25 25 Si 1.86800 * 120.00148 * 173.69818 * 23 21 18 26 26 H 1.48492 * 109.47218 * 59.99857 * 25 23 21 27 27 H 1.48501 * 109.46970 * 299.99950 * 25 23 21 28 28 H 1.48501 * 109.47279 * 180.02562 * 25 23 21 29 29 H 1.08994 * 109.47117 * 180.02562 * 1 2 3 30 30 H 1.08999 * 109.46967 * 300.00113 * 1 2 3 31 31 H 1.09000 * 109.47034 * 60.00108 * 1 2 3 32 32 H 0.96998 * 119.99621 * 179.97438 * 2 1 3 33 33 H 0.97002 * 120.00538 * 0.02562 * 5 3 2 34 34 H 1.08993 * 109.46986 * 64.50793 * 6 5 3 35 35 H 1.09003 * 109.47127 * 304.50402 * 6 5 3 36 36 H 1.09003 * 109.49838 * 305.45509 * 9 7 6 37 37 H 1.08991 * 109.49914 * 65.55845 * 9 7 6 38 38 H 1.08996 * 109.46403 * 181.38555 * 10 9 7 39 39 H 1.09006 * 109.45725 * 301.35752 * 10 9 7 40 40 H 1.09002 * 109.49339 * 58.58576 * 11 10 9 41 41 H 1.09000 * 109.49772 * 178.68508 * 11 10 9 42 42 H 1.08997 * 109.74162 * 295.11047 * 12 11 10 43 43 H 1.09006 * 109.66177 * 174.54760 * 12 11 10 44 44 H 0.96996 * 120.00108 * 5.15581 * 16 14 13 45 45 H 1.09002 * 109.47307 * 60.00109 * 17 16 14 46 46 H 1.09004 * 109.47249 * 299.99690 * 17 16 14 47 47 H 1.08995 * 109.47216 * 174.58085 * 19 18 17 48 48 H 1.08996 * 109.47125 * 294.58940 * 19 18 17 49 49 H 1.09003 * 109.46539 * 54.58611 * 19 18 17 50 50 H 1.08999 * 109.47052 * 305.34510 * 20 18 17 51 51 H 1.08999 * 109.47539 * 65.34202 * 20 18 17 52 52 H 1.09002 * 109.47719 * 185.34880 * 20 18 17 53 53 H 0.96998 * 120.00472 * 4.67542 * 24 23 21 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 7 1.4651 0.0000 0.0000 3 6 2.1390 1.1672 0.0000 4 8 1.5310 2.2201 0.0005 5 7 3.4867 1.1671 0.0005 6 6 4.2192 2.4358 0.0000 7 6 5.7197 2.1584 -0.1126 8 1 6.0146 1.4315 0.6442 9 6 6.5022 3.4593 0.0923 10 6 7.9897 3.1998 -0.1575 11 6 8.1929 2.7361 -1.6018 12 6 7.4292 1.4218 -1.8237 13 7 6.0238 1.6290 -1.4490 14 6 5.0321 1.3337 -2.3127 15 8 3.8809 1.6069 -2.0328 16 7 5.3167 0.7356 -3.4865 17 6 4.2560 0.5169 -4.4731 18 6 4.8411 -0.1746 -5.7061 19 6 5.4439 -1.5205 -5.2982 20 6 5.9314 0.7083 -6.3167 21 6 3.7500 -0.4003 -6.7208 22 1 2.7536 -0.0281 -6.5339 23 6 4.0239 -1.0820 -7.8875 24 7 5.2605 -1.4267 -8.1729 25 14 2.6384 -1.5158 -9.0629 26 1 1.9713 -0.2714 -9.5227 27 1 1.6506 -2.3788 -8.3666 28 1 3.1917 -2.2429 -10.2336 29 1 -0.3633 -1.0276 0.0005 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 1.9500 -0.8401 0.0004 33 1 3.9717 0.3271 0.0005 34 1 4.0175 2.9722 0.9271 35 1 3.8970 3.0410 -0.8475 36 1 6.1423 4.2143 -0.6067 37 1 6.3610 3.8118 1.1139 38 1 8.5519 4.1182 0.0115 39 1 8.3430 2.4268 0.5249 40 1 7.8170 3.4980 -2.2847 41 1 9.2550 2.5740 -1.7858 42 1 7.8608 0.6360 -1.2037 43 1 7.4891 1.1356 -2.8738 44 1 6.2236 0.4501 -3.6781 45 1 3.8263 1.4756 -4.7634 46 1 3.4795 -0.1126 -4.0383 47 1 5.7742 -2.0555 -6.1885 48 1 6.2952 -1.3523 -4.6386 49 1 4.6916 -2.1124 -4.7769 50 1 5.5251 1.6991 -6.5199 51 1 6.7638 0.7932 -5.6181 52 1 6.2821 0.2616 -7.2471 53 1 5.9700 -1.2621 -7.5323 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 ZINC000875661607.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 06:12:58 Heat of formation + Delta-G solvation = -20.186949 kcal Electronic energy + Delta-G solvation = -32448.352179 eV Core-core repulsion = 28356.807299 eV Total energy + Delta-G solvation = -4091.544879 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.82 seconds Orbital eigenvalues (eV) -40.80488 -39.26613 -37.83790 -36.65853 -35.08129 -34.13304 -33.36215 -32.65773 -31.52629 -30.27756 -27.45128 -26.15735 -26.08265 -25.61072 -24.44602 -24.13597 -22.13078 -21.16490 -20.55381 -19.65802 -18.91536 -18.49142 -17.59636 -16.60467 -16.22610 -16.07888 -15.45196 -15.29609 -14.70368 -14.55372 -14.46655 -14.16942 -14.02019 -13.86117 -13.75014 -13.53653 -13.13740 -12.94315 -12.76592 -12.61354 -12.50297 -12.31694 -12.17012 -12.10492 -11.59133 -11.40503 -11.28306 -11.20969 -10.94523 -10.91623 -10.83699 -10.64577 -10.64205 -10.09254 -9.91496 -9.85199 -9.52770 -9.09931 -9.00874 -8.83246 -8.53113 -8.29188 -8.23814 -8.01582 -6.27558 -4.11888 2.79804 3.04213 3.43557 3.44087 3.54930 3.62632 3.73636 4.16898 4.45236 4.49763 4.55269 4.58975 4.68116 4.88735 5.00184 5.02521 5.21178 5.27897 5.31109 5.36842 5.49214 5.59803 5.63520 5.65111 5.72992 5.79696 5.81651 5.89988 5.97496 6.05700 6.18654 6.22893 6.26160 6.52094 6.53289 6.64565 6.68448 6.69323 6.78727 6.88765 6.95120 7.04256 7.10554 7.16614 7.22466 7.48068 7.64220 8.18176 8.32892 8.34715 8.39280 8.82686 9.00453 9.02527 9.58353 10.98337 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009664 B = 0.003895 C = 0.002918 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2896.782481 B = 7186.685460 C = 9591.857770 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.112 3.888 2 N -0.756 5.756 3 C 0.717 3.283 4 O -0.601 6.601 5 N -0.709 5.709 6 C 0.154 3.846 7 C 0.155 3.845 8 H 0.070 0.930 9 C -0.128 4.128 10 C -0.116 4.116 11 C -0.135 4.135 12 C 0.113 3.887 13 N -0.635 5.635 14 C 0.688 3.312 15 O -0.563 6.563 16 N -0.737 5.737 17 C 0.162 3.838 18 C 0.042 3.958 19 C -0.142 4.142 20 C -0.141 4.141 21 C -0.584 4.584 22 H 0.051 0.949 23 C 0.027 3.973 24 N -0.917 5.917 25 Si 1.064 2.936 26 H -0.288 1.288 27 H -0.288 1.288 28 H -0.283 1.283 29 H 0.069 0.931 30 H 0.052 0.948 31 H 0.056 0.944 32 H 0.392 0.608 33 H 0.385 0.615 34 H 0.051 0.949 35 H 0.096 0.904 36 H 0.072 0.928 37 H 0.076 0.924 38 H 0.066 0.934 39 H 0.063 0.937 40 H 0.069 0.931 41 H 0.073 0.927 42 H 0.065 0.935 43 H 0.079 0.921 44 H 0.389 0.611 45 H 0.050 0.950 46 H 0.052 0.948 47 H 0.071 0.929 48 H 0.013 0.987 49 H 0.036 0.964 50 H 0.036 0.964 51 H 0.012 0.988 52 H 0.070 0.930 53 H 0.280 0.720 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.209 3.331 18.649 19.936 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 -0.033 4.033 2 N -0.411 5.411 3 C 0.417 3.583 4 O -0.480 6.480 5 N -0.362 5.362 6 C 0.030 3.970 7 C 0.050 3.950 8 H 0.088 0.912 9 C -0.167 4.167 10 C -0.153 4.153 11 C -0.174 4.174 12 C -0.011 4.011 13 N -0.375 5.375 14 C 0.390 3.610 15 O -0.440 6.440 16 N -0.394 5.394 17 C 0.039 3.961 18 C 0.041 3.959 19 C -0.200 4.200 20 C -0.199 4.199 21 C -0.623 4.623 22 H 0.069 0.931 23 C -0.177 4.177 24 N -0.558 5.558 25 Si 0.892 3.108 26 H -0.215 1.215 27 H -0.215 1.215 28 H -0.209 1.209 29 H 0.088 0.912 30 H 0.071 0.929 31 H 0.074 0.926 32 H 0.224 0.776 33 H 0.217 0.783 34 H 0.069 0.931 35 H 0.114 0.886 36 H 0.091 0.909 37 H 0.094 0.906 38 H 0.084 0.916 39 H 0.082 0.918 40 H 0.087 0.913 41 H 0.092 0.908 42 H 0.083 0.917 43 H 0.098 0.902 44 H 0.225 0.775 45 H 0.069 0.931 46 H 0.070 0.930 47 H 0.090 0.910 48 H 0.032 0.968 49 H 0.055 0.945 50 H 0.055 0.945 51 H 0.031 0.969 52 H 0.088 0.912 53 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges 4.428 3.851 17.331 18.297 hybrid contribution 1.355 -0.311 1.235 1.859 sum 5.783 3.539 18.565 19.765 Atomic orbital electron populations 1.21280 0.78806 1.01361 1.01864 1.44831 1.07383 1.07237 1.81699 1.15671 0.81722 0.83796 0.77150 1.90851 1.68043 1.30491 1.58619 1.44686 1.04315 1.08573 1.78607 1.21247 0.87440 0.86716 1.01641 1.21271 0.95123 0.95203 0.83355 0.91220 1.21897 0.95248 0.97089 1.02490 1.21473 0.95896 1.01429 0.96533 1.21994 1.00243 0.97711 0.97433 1.21673 0.81382 0.97214 1.00828 1.47314 1.05233 1.69805 1.15171 1.16152 0.84632 0.79650 0.80608 1.91080 1.18752 1.58974 1.75166 1.45754 1.13517 1.63273 1.16843 1.21372 0.88089 0.99365 0.87278 1.18523 0.94675 0.91145 0.91576 1.22012 0.97730 0.99913 1.00334 1.22048 0.97203 0.99684 1.00981 1.21735 0.96004 1.39485 1.05074 0.93055 1.25650 1.00686 0.93731 0.97638 1.70888 1.00288 1.46858 1.37761 0.83613 0.74544 0.76589 0.76004 1.21482 1.21467 1.20862 0.91195 0.92943 0.92574 0.77550 0.78264 0.93109 0.88632 0.90936 0.90575 0.91566 0.91816 0.91264 0.90828 0.91667 0.90241 0.77471 0.93140 0.92957 0.91027 0.96776 0.94503 0.94509 0.96906 0.91178 0.90371 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 0.11 1.34 10.70 59.85 0.64 1.98 16 2 N -0.76 -10.23 5.72 -72.07 -0.41 -10.64 16 3 C 0.72 12.19 7.73 -86.92 -0.67 11.52 16 4 O -0.60 -12.77 16.34 5.29 0.09 -12.68 16 5 N -0.71 -10.12 3.27 -65.22 -0.21 -10.34 16 6 C 0.15 2.09 4.30 -4.04 -0.02 2.08 16 7 C 0.16 1.60 2.92 -67.59 -0.20 1.40 16 8 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 9 C -0.13 -1.08 5.37 -26.61 -0.14 -1.22 16 10 C -0.12 -0.82 5.88 -26.69 -0.16 -0.97 16 11 C -0.14 -1.09 6.10 -26.39 -0.16 -1.26 16 12 C 0.11 1.07 6.37 -3.49 -0.02 1.05 16 13 N -0.63 -7.60 2.97 -170.64 -0.51 -8.10 16 14 C 0.69 11.16 7.84 -86.92 -0.68 10.48 16 15 O -0.56 -10.82 9.77 5.29 0.05 -10.77 16 16 N -0.74 -12.54 4.88 -65.22 -0.32 -12.86 16 17 C 0.16 3.42 4.51 -4.04 -0.02 3.40 16 18 C 0.04 0.95 0.50 -155.66 -0.08 0.87 16 19 C -0.14 -3.08 7.88 37.16 0.29 -2.78 16 20 C -0.14 -3.09 7.94 37.16 0.30 -2.80 16 21 C -0.58 -15.53 8.01 -34.44 -0.28 -15.81 16 22 H 0.05 1.40 7.75 -52.49 -0.41 1.00 16 23 C 0.03 0.72 5.10 -17.82 -0.09 0.63 16 24 N -0.92 -25.62 12.20 55.43 0.68 -24.94 16 25 Si 1.06 24.47 29.91 -169.99 -5.08 19.39 16 26 H -0.29 -6.46 7.11 56.52 0.40 -6.06 16 27 H -0.29 -6.41 7.11 56.52 0.40 -6.01 16 28 H -0.28 -6.54 7.11 56.52 0.40 -6.14 16 29 H 0.07 0.60 8.14 -51.93 -0.42 0.17 16 30 H 0.05 0.62 8.14 -51.93 -0.42 0.20 16 31 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 32 H 0.39 4.24 8.84 -40.82 -0.36 3.88 16 33 H 0.38 4.80 8.27 -40.82 -0.34 4.47 16 34 H 0.05 0.65 8.13 -51.93 -0.42 0.23 16 35 H 0.10 1.69 6.33 -51.93 -0.33 1.37 16 36 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 37 H 0.08 0.53 8.14 -51.93 -0.42 0.10 16 38 H 0.07 0.42 8.14 -51.93 -0.42 -0.01 16 39 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 40 H 0.07 0.66 8.14 -51.93 -0.42 0.24 16 41 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 42 H 0.07 0.53 8.14 -51.93 -0.42 0.10 16 43 H 0.08 0.82 5.76 -51.93 -0.30 0.52 16 44 H 0.39 6.03 3.85 -40.82 -0.16 5.87 16 45 H 0.05 1.16 8.14 -51.93 -0.42 0.74 16 46 H 0.05 1.19 8.14 -51.93 -0.42 0.76 16 47 H 0.07 1.72 5.16 -51.93 -0.27 1.45 16 48 H 0.01 0.25 7.02 -51.93 -0.36 -0.11 16 49 H 0.04 0.80 8.14 -51.93 -0.42 0.37 16 50 H 0.04 0.81 8.14 -51.93 -0.42 0.39 16 51 H 0.01 0.23 7.02 -51.93 -0.36 -0.14 16 52 H 0.07 1.70 5.29 -51.93 -0.27 1.42 16 53 H 0.28 7.53 3.50 -40.82 -0.14 7.39 16 LS Contribution 396.59 15.07 5.98 5.98 Total: -1.00 -33.39 396.59 -9.89 -43.28 By element: Atomic # 1 Polarization: 21.97 SS G_CDS: -8.86 Total: 13.11 kcal Atomic # 6 Polarization: 9.85 SS G_CDS: -1.29 Total: 8.57 kcal Atomic # 7 Polarization: -66.10 SS G_CDS: -0.77 Total: -66.88 kcal Atomic # 8 Polarization: -23.59 SS G_CDS: 0.14 Total: -23.45 kcal Atomic # 14 Polarization: 24.47 SS G_CDS: -5.08 Total: 19.39 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -33.39 -9.89 -43.28 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. ZINC000875661607.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 23.096 kcal (2) G-P(sol) polarization free energy of solvation -33.389 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -10.293 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.893 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.283 kcal (6) G-S(sol) free energy of system = (1) + (5) -20.187 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.82 seconds