Wall clock time and date at job start Tue Mar 31 2020 20:12:49 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 1.52998 * 1 3 3 H 1.08991 * 109.47817 * 2 1 4 4 C 1.53003 * 109.46736 * 239.99561 * 2 1 3 5 5 C 1.53007 * 109.47129 * 180.02562 * 4 2 1 6 6 C 1.52999 * 109.46979 * 59.99976 * 5 4 2 7 7 C 1.53004 * 109.47608 * 300.00516 * 6 5 4 8 8 H 1.09003 * 109.46701 * 299.99797 * 7 6 5 9 9 N 1.46494 * 109.47335 * 180.02562 * 7 6 5 10 10 C 1.34775 * 120.00375 * 84.99656 * 9 7 6 11 11 O 1.21355 * 119.99730 * 0.02562 * 10 9 7 12 12 C 1.49446 * 120.00158 * 179.97438 * 10 9 7 13 13 O 1.21348 * 120.00431 * 353.07144 * 12 10 9 14 14 N 1.34774 * 120.00042 * 173.07147 * 12 10 9 15 15 C 1.46927 * 120.63005 * 1.67288 * 14 12 10 16 16 C 1.52765 * 109.01134 * 233.58568 * 15 14 12 17 17 C 1.53044 * 109.38195 * 305.58784 * 16 15 14 18 18 C 1.53042 * 109.53751 * 61.23960 * 17 16 15 19 19 H 1.09007 * 109.49802 * 58.58210 * 18 17 16 20 20 C 1.50695 * 109.52753 * 178.66751 * 18 17 16 21 21 H 1.08007 * 119.99591 * 359.85258 * 20 18 17 22 22 C 1.37877 * 120.00610 * 179.85357 * 20 18 17 23 23 N 1.31515 * 119.99662 * 0.02562 * 22 20 18 24 24 Si 1.86797 * 120.00475 * 179.97438 * 22 20 18 25 25 H 1.48508 * 109.46826 * 0.02562 * 24 22 20 26 26 H 1.48501 * 109.47211 * 119.99944 * 24 22 20 27 27 H 1.48494 * 109.47264 * 240.00287 * 24 22 20 28 28 C 1.46924 * 120.63269 * 181.95881 * 14 12 10 29 29 C 1.52997 * 109.47294 * 59.99621 * 7 6 5 30 30 H 1.09000 * 109.47345 * 59.99957 * 29 7 6 31 31 C 1.52995 * 109.47167 * 180.02562 * 29 7 6 32 32 H 1.09003 * 109.47173 * 300.00111 * 1 2 3 33 33 H 1.08998 * 109.47251 * 59.99914 * 1 2 3 34 34 H 1.08994 * 109.47575 * 180.02562 * 1 2 3 35 35 H 1.08998 * 109.47107 * 60.00731 * 4 2 1 36 36 H 1.08998 * 109.47707 * 299.99962 * 4 2 1 37 37 H 1.08996 * 109.46944 * 300.00930 * 5 4 2 38 38 H 1.08998 * 109.47135 * 180.02562 * 5 4 2 39 39 H 1.09003 * 109.46924 * 60.00177 * 6 5 4 40 40 H 1.08995 * 109.47602 * 180.02562 * 6 5 4 41 41 H 0.97007 * 119.99728 * 264.99384 * 9 7 6 42 42 H 1.08994 * 109.58620 * 353.42270 * 15 14 12 43 43 H 1.09006 * 109.58714 * 113.84522 * 15 14 12 44 44 H 1.09001 * 109.56510 * 185.55887 * 16 15 14 45 45 H 1.08997 * 109.38417 * 65.50976 * 16 15 14 46 46 H 1.09002 * 109.46051 * 301.22385 * 17 16 15 47 47 H 1.08999 * 109.44989 * 181.25206 * 17 16 15 48 48 H 0.96998 * 120.00121 * 180.02562 * 23 22 20 49 49 H 1.09009 * 109.58398 * 246.15505 * 28 14 12 50 50 H 1.09006 * 109.58862 * 6.57558 * 28 14 12 51 51 H 1.08998 * 109.47472 * 60.00327 * 31 29 7 52 52 H 1.09004 * 109.46928 * 179.97438 * 31 29 7 53 53 H 1.08998 * 109.47225 * 299.99630 * 31 29 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 6 1.5300 0.0000 0.0000 3 1 1.8934 1.0275 0.0000 4 6 2.0399 -0.7214 -1.2492 5 6 3.5700 -0.7220 -1.2490 6 6 4.0794 -1.4435 0.0003 7 6 3.5695 -0.7223 1.2496 8 1 3.9332 0.3052 1.2498 9 7 4.0578 -1.4128 2.4457 10 6 5.2798 -1.1271 2.9372 11 8 5.9754 -0.2974 2.3891 12 6 5.7777 -1.8312 4.1577 13 8 5.0379 -2.5656 4.7789 14 7 7.0485 -1.6505 4.5687 15 6 7.9453 -0.7363 3.8485 16 6 9.2238 -1.4846 3.4753 17 6 9.8356 -2.1039 4.7340 18 6 8.8496 -3.1028 5.3441 19 1 8.6150 -3.8757 4.6120 20 6 9.4652 -3.7365 6.5649 21 1 10.4616 -3.4570 6.8741 22 6 8.7566 -4.6731 7.2871 23 7 7.5435 -5.0138 6.9103 24 14 9.5199 -5.4591 8.8000 25 1 10.8834 -4.9089 9.0091 26 1 8.6799 -5.1639 9.9885 27 1 9.6033 -6.9289 8.6055 28 6 7.5653 -2.3686 5.7417 29 6 2.0395 -0.7217 1.2493 30 1 1.6757 -1.7492 1.2490 31 6 1.5296 0.0001 2.4982 32 1 -0.3634 0.5139 0.8900 33 1 -0.3633 0.5138 -0.8899 34 1 -0.3634 -1.0276 0.0005 35 1 1.6766 -0.2075 -2.1392 36 1 1.6766 -1.7490 -1.2492 37 1 3.9337 0.3055 -1.2487 38 1 3.9332 -1.2355 -2.1392 39 1 3.7157 -2.4711 0.0001 40 1 5.1694 -1.4436 0.0008 41 1 3.5016 -2.0758 2.8840 42 1 7.4541 -0.3807 2.9428 43 1 8.1944 0.1106 4.4880 44 1 9.9357 -0.7906 3.0284 45 1 8.9862 -2.2727 2.7608 46 1 10.0505 -1.3177 5.4579 47 1 10.7597 -2.6194 4.4725 48 1 7.0448 -5.6725 7.4186 49 1 7.7827 -1.6576 6.5388 50 1 6.8233 -3.0897 6.0848 51 1 1.8932 1.0276 2.4981 52 1 0.4395 0.0009 2.4978 53 1 1.8925 -0.5137 3.3884 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 ZINC001327894383.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 20:12:49 Heat of formation + Delta-G solvation = -87.478295 kcal Electronic energy + Delta-G solvation = -30756.594556 eV Core-core repulsion = 26820.295005 eV Total energy + Delta-G solvation = -3936.299551 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.03 seconds Orbital eigenvalues (eV) -40.76269 -39.50298 -37.97051 -36.82912 -34.75814 -33.33327 -33.21355 -31.72994 -30.84268 -29.74282 -27.51811 -26.13523 -25.52969 -24.96300 -23.12656 -21.79574 -21.43164 -21.10712 -20.56389 -19.73629 -18.75756 -17.23648 -16.63304 -16.22292 -15.59694 -15.47643 -15.07976 -14.94690 -14.87461 -14.54345 -14.39498 -14.20281 -13.78360 -13.53516 -13.35965 -13.07989 -12.87388 -12.78260 -12.57789 -12.39322 -12.12331 -12.10172 -12.01783 -11.79878 -11.76636 -11.42622 -11.30545 -11.11545 -10.99421 -10.74012 -10.65134 -10.58210 -10.43109 -10.34771 -10.27559 -10.02703 -9.85246 -9.18845 -9.15655 -9.10513 -8.49114 -8.39366 -7.80836 -6.01621 -4.09799 1.83729 2.72283 3.29451 3.37736 3.41154 3.68382 3.96767 4.28849 4.39183 4.41975 4.49063 4.70908 4.74243 4.85807 5.08268 5.11327 5.16160 5.18218 5.27468 5.28825 5.35598 5.44999 5.52541 5.63987 5.65010 5.68264 5.71589 5.76246 5.78356 5.84146 5.89913 5.95562 5.98666 6.03969 6.10480 6.15013 6.24873 6.29386 6.40299 6.61283 6.65906 6.78861 6.87638 7.00091 7.06962 7.20043 7.29907 7.60629 7.83983 7.96206 8.04180 8.19441 8.36503 8.61146 8.94487 9.55768 11.03864 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.020504 B = 0.002636 C = 0.002470 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1365.261878 B =10618.669324 C =11333.703107 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.083 4.083 3 H 0.073 0.927 4 C -0.117 4.117 5 C -0.116 4.116 6 C -0.132 4.132 7 C 0.149 3.851 8 H 0.091 0.909 9 N -0.698 5.698 10 C 0.514 3.486 11 O -0.516 6.516 12 C 0.492 3.508 13 O -0.525 6.525 14 N -0.566 5.566 15 C 0.049 3.951 16 C -0.131 4.131 17 C -0.113 4.113 18 C 0.041 3.959 19 H 0.029 0.971 20 C -0.518 4.518 21 H 0.060 0.940 22 C 0.061 3.939 23 N -0.882 5.882 24 Si 0.893 3.107 25 H -0.273 1.273 26 H -0.284 1.284 27 H -0.284 1.284 28 C 0.107 3.893 29 C -0.093 4.093 30 H 0.077 0.923 31 C -0.152 4.152 32 H 0.059 0.941 33 H 0.054 0.946 34 H 0.055 0.945 35 H 0.063 0.937 36 H 0.063 0.937 37 H 0.064 0.936 38 H 0.065 0.935 39 H 0.066 0.934 40 H 0.070 0.930 41 H 0.412 0.588 42 H 0.146 0.854 43 H 0.056 0.944 44 H 0.059 0.941 45 H 0.056 0.944 46 H 0.049 0.951 47 H 0.050 0.950 48 H 0.263 0.737 49 H 0.048 0.952 50 H 0.124 0.876 51 H 0.055 0.945 52 H 0.060 0.940 53 H 0.060 0.940 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.656 10.839 -15.786 22.954 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 -0.206 4.206 2 C -0.102 4.102 3 H 0.091 0.909 4 C -0.154 4.154 5 C -0.154 4.154 6 C -0.171 4.171 7 C 0.045 3.955 8 H 0.109 0.891 9 N -0.350 5.350 10 C 0.297 3.703 11 O -0.394 6.394 12 C 0.273 3.727 13 O -0.403 6.403 14 N -0.297 5.297 15 C -0.073 4.073 16 C -0.169 4.169 17 C -0.151 4.151 18 C 0.021 3.979 19 H 0.047 0.953 20 C -0.557 4.557 21 H 0.078 0.922 22 C -0.141 4.141 23 N -0.520 5.520 24 Si 0.721 3.279 25 H -0.198 1.198 26 H -0.210 1.210 27 H -0.210 1.210 28 C -0.013 4.013 29 C -0.112 4.112 30 H 0.096 0.904 31 C -0.210 4.210 32 H 0.078 0.922 33 H 0.073 0.927 34 H 0.074 0.926 35 H 0.081 0.919 36 H 0.082 0.918 37 H 0.083 0.917 38 H 0.084 0.916 39 H 0.084 0.916 40 H 0.089 0.911 41 H 0.248 0.752 42 H 0.162 0.838 43 H 0.075 0.925 44 H 0.078 0.922 45 H 0.074 0.926 46 H 0.068 0.932 47 H 0.069 0.931 48 H 0.073 0.927 49 H 0.066 0.934 50 H 0.142 0.858 51 H 0.074 0.926 52 H 0.079 0.921 53 H 0.079 0.921 Dipole moment (debyes) X Y Z Total from point charges -12.691 10.916 -15.755 22.988 hybrid contribution 0.302 -0.843 1.153 1.460 sum -12.389 10.074 -14.602 21.638 Atomic orbital electron populations 1.21881 0.94948 1.01961 1.01806 1.21111 0.95661 0.99644 0.93743 0.90894 1.21648 0.95571 1.00819 0.97378 1.21481 0.95412 1.01002 0.97472 1.21955 1.01606 0.99699 0.93810 1.21102 0.93314 0.97416 0.83716 0.89119 1.45911 1.17132 1.42917 1.29030 1.20760 0.81904 0.82569 0.85098 1.90270 1.53564 1.34303 1.61292 1.19795 0.83912 0.83514 0.85440 1.90760 1.55340 1.37712 1.56477 1.48452 1.09271 1.42130 1.29876 1.23059 0.91991 0.91576 1.00636 1.21839 0.96544 0.99487 0.99026 1.21665 0.99175 0.98981 0.95269 1.18971 0.90208 0.92464 0.96209 0.95301 1.21132 1.01367 1.22490 1.10681 0.92212 1.25064 0.94941 0.96387 0.97722 1.69886 1.10455 1.32230 1.39396 0.86518 0.79360 0.79127 0.82905 1.19772 1.20962 1.21002 1.22484 1.00371 0.94972 0.83431 1.21436 0.93479 1.00723 0.95597 0.90418 1.21916 1.01144 1.00663 0.97227 0.92222 0.92708 0.92628 0.91851 0.91815 0.91707 0.91638 0.91553 0.91081 0.75165 0.83783 0.92548 0.92226 0.92550 0.93224 0.93124 0.92711 0.93405 0.85837 0.92556 0.92061 0.92136 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 8.84 37.16 0.33 -0.56 16 2 C -0.08 -0.57 2.25 -90.61 -0.20 -0.77 16 3 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 4 C -0.12 -0.78 5.20 -26.73 -0.14 -0.92 16 5 C -0.12 -0.90 5.92 -26.73 -0.16 -1.06 16 6 C -0.13 -1.30 5.49 -26.73 -0.15 -1.45 16 7 C 0.15 1.54 1.90 -67.93 -0.13 1.41 16 8 H 0.09 1.04 7.58 -51.93 -0.39 0.65 16 9 N -0.70 -9.02 4.38 -54.24 -0.24 -9.25 16 10 C 0.51 8.44 7.77 -11.59 -0.09 8.35 16 11 O -0.52 -8.70 12.68 5.49 0.07 -8.63 16 12 C 0.49 10.02 7.76 -11.59 -0.09 9.93 16 13 O -0.53 -12.06 15.91 5.50 0.09 -11.97 16 14 N -0.57 -11.96 2.98 -173.53 -0.52 -12.47 16 15 C 0.05 0.89 6.20 -3.93 -0.02 0.86 16 16 C -0.13 -2.35 6.07 -26.83 -0.16 -2.51 16 17 C -0.11 -2.36 5.11 -26.69 -0.14 -2.50 16 18 C 0.04 1.02 2.25 -91.65 -0.21 0.81 16 19 H 0.03 0.81 8.14 -51.93 -0.42 0.38 16 20 C -0.52 -14.12 8.57 -34.44 -0.30 -14.41 16 21 H 0.06 1.60 7.74 -52.48 -0.41 1.20 16 22 C 0.06 1.70 5.30 -17.82 -0.09 1.60 16 23 N -0.88 -25.51 11.39 55.43 0.63 -24.88 16 24 Si 0.89 21.25 29.54 -169.99 -5.02 16.23 16 25 H -0.27 -6.38 7.11 56.52 0.40 -5.98 16 26 H -0.28 -6.72 7.11 56.52 0.40 -6.32 16 27 H -0.28 -6.74 7.11 56.52 0.40 -6.34 16 28 C 0.11 2.64 5.40 -3.71 -0.02 2.62 16 29 C -0.09 -0.76 1.83 -90.62 -0.17 -0.93 16 30 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 31 C -0.15 -1.28 8.68 37.16 0.32 -0.96 16 32 H 0.06 0.35 6.43 -51.93 -0.33 0.02 16 33 H 0.05 0.30 8.14 -51.93 -0.42 -0.13 16 34 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 35 H 0.06 0.38 8.14 -51.93 -0.42 -0.05 16 36 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 37 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 38 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 39 H 0.07 0.64 8.14 -51.93 -0.42 0.22 16 40 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 41 H 0.41 5.16 7.88 -40.82 -0.32 4.83 16 42 H 0.15 2.53 3.79 -56.97 -0.22 2.32 16 43 H 0.06 0.98 8.14 -51.93 -0.42 0.55 16 44 H 0.06 0.91 8.14 -51.93 -0.42 0.48 16 45 H 0.06 1.04 8.14 -51.93 -0.42 0.62 16 46 H 0.05 1.01 8.14 -51.93 -0.42 0.59 16 47 H 0.05 1.03 8.14 -51.93 -0.42 0.61 16 48 H 0.26 7.28 8.31 -40.82 -0.34 6.94 16 49 H 0.05 1.17 8.14 -51.92 -0.42 0.75 16 50 H 0.12 3.47 5.13 -51.93 -0.27 3.20 16 51 H 0.06 0.48 8.14 -51.93 -0.42 0.06 16 52 H 0.06 0.44 6.43 -51.93 -0.33 0.11 16 53 H 0.06 0.59 7.45 -51.93 -0.39 0.20 16 LS Contribution 400.02 15.07 6.03 6.03 Total: -1.00 -29.98 400.02 -9.77 -39.75 By element: Atomic # 1 Polarization: 15.08 SS G_CDS: -9.40 Total: 5.68 kcal Atomic # 6 Polarization: 0.93 SS G_CDS: -1.41 Total: -0.48 kcal Atomic # 7 Polarization: -46.49 SS G_CDS: -0.12 Total: -46.61 kcal Atomic # 8 Polarization: -20.76 SS G_CDS: 0.16 Total: -20.60 kcal Atomic # 14 Polarization: 21.25 SS G_CDS: -5.02 Total: 16.23 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -29.98 -9.77 -39.75 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. ZINC001327894383.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 -47.729 kcal (2) G-P(sol) polarization free energy of solvation -29.977 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -77.707 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.772 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.749 kcal (6) G-S(sol) free energy of system = (1) + (5) -87.478 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.03 seconds