Wall clock time and date at job start Tue Mar 31 2020 21:12:29 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 N 2 2 C 1.31622 * 1 3 3 Si 1.86809 * 119.99610 * 2 1 4 4 H 1.48497 * 109.46937 * 355.00041 * 3 2 1 5 5 H 1.48503 * 109.46954 * 234.99862 * 3 2 1 6 6 H 1.48496 * 109.47097 * 115.00235 * 3 2 1 7 7 C 1.38806 * 120.00262 * 179.97438 * 2 1 3 8 8 H 1.08007 * 119.99913 * 203.95581 * 7 2 1 9 9 N 1.36931 * 120.00111 * 23.95748 * 7 2 1 10 10 C 1.47433 * 125.64626 * 31.00982 * 9 7 2 11 11 C 1.55126 * 104.72147 * 155.81759 * 10 9 7 12 12 C 1.55149 * 101.49090 * 37.29270 * 11 10 9 13 13 C 1.47019 * 125.65275 * 211.30943 * 9 7 2 14 14 H 1.08996 * 109.88710 * 300.44250 * 13 9 7 15 15 C 1.53001 * 109.87866 * 61.45608 * 13 9 7 16 16 H 1.09002 * 109.58487 * 303.78319 * 15 13 9 17 17 C 1.53190 * 109.59094 * 64.07240 * 15 13 9 18 18 C 1.53066 * 109.29835 * 174.28173 * 17 15 13 19 19 C 1.53037 * 109.65986 * 298.84664 * 18 17 15 20 20 C 1.53200 * 109.31396 * 61.29771 * 19 18 17 21 21 N 1.46925 * 108.77153 * 305.36903 * 20 19 18 22 22 C 1.34777 * 120.62843 * 233.62550 * 21 20 19 23 23 O 1.21279 * 120.00407 * 184.41712 * 22 21 20 24 24 C 1.50699 * 119.99847 * 4.41829 * 22 21 20 25 25 C 1.53002 * 115.55039 * 267.58310 * 24 22 21 26 26 C 1.52999 * 109.47638 * 296.92886 * 25 24 22 27 27 F 1.39895 * 109.47386 * 185.11828 * 26 25 24 28 28 C 1.53006 * 117.49931 * 121.91788 * 24 22 21 29 29 C 1.53004 * 117.50098 * 53.25523 * 24 22 21 30 30 H 0.97000 * 119.99615 * 187.55334 * 1 2 3 31 31 H 1.09000 * 110.36157 * 274.74609 * 10 9 7 32 32 H 1.08995 * 110.36401 * 37.06331 * 10 9 7 33 33 H 1.09012 * 111.18961 * 279.18554 * 11 10 9 34 34 H 1.09002 * 110.94087 * 155.28933 * 11 10 9 35 35 H 1.09002 * 110.72434 * 205.97114 * 12 11 10 36 36 H 1.08998 * 110.87292 * 82.76888 * 12 11 10 37 37 H 1.09000 * 109.49069 * 294.37497 * 17 15 13 38 38 H 1.08999 * 109.49973 * 54.46753 * 17 15 13 39 39 H 1.09000 * 109.45624 * 178.75182 * 18 17 15 40 40 H 1.08998 * 109.33809 * 58.86180 * 18 17 15 41 41 H 1.09002 * 109.49948 * 301.34822 * 19 18 17 42 42 H 1.08996 * 109.52797 * 181.26948 * 19 18 17 43 43 H 1.09001 * 109.58301 * 185.58255 * 20 19 18 44 44 H 1.08998 * 109.69881 * 65.22496 * 20 19 18 45 45 H 1.09011 * 109.46937 * 56.92986 * 25 24 22 46 46 H 1.09001 * 109.47106 * 176.92341 * 25 24 22 47 47 H 1.08995 * 109.46833 * 305.12076 * 26 25 24 48 48 H 1.08996 * 109.46972 * 65.11497 * 26 25 24 49 49 H 1.08993 * 117.49703 * 359.97438 * 28 24 22 50 50 H 1.09004 * 117.49690 * 145.01920 * 28 24 22 51 51 H 1.08994 * 117.49921 * 214.97381 * 29 24 22 52 52 H 1.08993 * 117.49389 * 359.97438 * 29 24 22 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2501 1.6179 0.0000 4 1 1.2897 2.7438 -0.1220 5 1 3.1931 1.6450 -1.1469 6 1 3.0101 1.7507 1.2688 7 6 2.0103 -1.2021 0.0005 8 1 3.0206 -1.2421 0.3803 9 7 1.4142 -2.3371 -0.4805 10 6 0.4062 -2.3888 -1.5551 11 6 0.5222 -3.8227 -2.1357 12 6 0.7949 -4.6538 -0.8544 13 6 1.6687 -3.7054 -0.0067 14 1 2.7217 -3.9538 -0.1393 15 6 1.2884 -3.8236 1.4706 16 1 1.8342 -3.0782 2.0492 17 6 -0.2180 -3.5976 1.6329 18 6 -0.6146 -3.8574 3.0882 19 6 -0.2983 -5.3086 3.4570 20 6 1.2079 -5.5504 3.3159 21 7 1.6231 -5.1681 1.9593 22 6 2.2979 -6.0345 1.1780 23 8 2.7050 -5.6811 0.0916 24 6 2.5466 -7.4424 1.6543 25 6 3.8697 -7.6664 2.3893 26 6 5.0352 -7.3869 1.4383 27 9 6.2411 -7.7034 2.0729 28 6 2.0190 -8.5858 0.7852 29 6 1.3359 -8.2566 2.1150 30 1 -0.4849 -0.8328 0.1104 31 1 -0.5910 -2.2213 -1.1482 32 1 0.6324 -1.6494 -2.3233 33 1 1.3549 -3.8984 -2.8352 34 1 -0.4113 -4.1283 -2.6084 35 1 1.3390 -5.5670 -1.0955 36 1 -0.1358 -4.8864 -0.3369 37 1 -0.4626 -2.5698 1.3646 38 1 -0.7609 -4.2830 0.9820 39 1 -1.6823 -3.6758 3.2115 40 1 -0.0547 -3.1868 3.7401 41 1 -0.8386 -5.9797 2.7893 42 1 -0.6022 -5.4975 4.4865 43 1 1.4256 -6.6056 3.4809 44 1 1.7469 -4.9474 4.0466 45 1 3.9289 -6.9929 3.2444 46 1 3.9228 -8.6986 2.7356 47 1 4.9260 -7.9961 0.5411 48 1 5.0350 -6.3322 1.1636 49 1 1.4916 -8.3196 -0.1308 50 1 2.6142 -9.4977 0.7374 51 1 1.4821 -8.9521 2.9414 52 1 0.3596 -7.7737 2.0740 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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 ZINC001491280983.mol2 52 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 21:12:29 Heat of formation + Delta-G solvation = -17.628040 kcal Electronic energy + Delta-G solvation = -32891.455249 eV Core-core repulsion = 28807.412849 eV Total energy + Delta-G solvation = -4084.042400 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -47.66221 -40.94732 -38.36032 -36.87376 -36.50906 -32.64021 -32.52123 -31.40535 -31.16484 -29.03873 -27.33846 -25.26520 -24.29336 -24.01917 -23.11578 -22.72615 -22.07395 -20.74308 -19.83014 -19.43191 -18.07766 -17.45835 -16.67243 -16.28167 -15.93328 -15.54600 -15.42023 -14.91729 -14.70615 -14.56758 -14.37270 -13.98667 -13.90992 -13.66110 -13.58325 -13.17229 -12.93936 -12.88525 -12.81641 -12.29077 -11.87224 -11.80809 -11.63789 -11.46078 -11.38509 -11.30392 -10.96118 -10.85881 -10.74618 -10.68416 -10.50600 -10.38301 -10.30185 -10.22572 -10.01473 -9.98483 -9.70249 -9.63403 -9.35231 -8.79735 -8.25565 -8.04515 -6.70342 -5.93048 -3.19365 2.77081 3.08768 3.42238 3.51915 3.56937 3.73755 4.17541 4.42316 4.48713 4.58762 4.65197 4.83390 4.90810 4.93003 5.00452 5.07667 5.15028 5.21390 5.34215 5.37297 5.42358 5.51212 5.53068 5.58863 5.59922 5.62903 5.69085 5.73455 5.83425 5.84958 5.89759 5.91490 6.00365 6.01581 6.06125 6.22304 6.31528 6.41932 6.46613 6.48526 6.62348 6.78961 6.79901 6.97687 7.04077 7.11824 7.24517 7.48868 7.73474 8.05614 8.49521 8.63552 9.15472 9.89279 10.55615 11.28809 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.012671 B = 0.004217 C = 0.003921 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2209.318965 B = 6637.783792 C = 7138.940907 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.914 5.914 2 C -0.020 4.020 3 Si 1.062 2.938 4 H -0.286 1.286 5 H -0.294 1.294 6 H -0.294 1.294 7 C -0.327 4.327 8 H 0.052 0.948 9 N -0.592 5.592 10 C 0.143 3.857 11 C -0.138 4.138 12 C -0.126 4.126 13 C 0.159 3.841 14 H 0.079 0.921 15 C 0.139 3.861 16 H 0.072 0.928 17 C -0.123 4.123 18 C -0.120 4.120 19 C -0.131 4.131 20 C 0.100 3.900 21 N -0.595 5.595 22 C 0.535 3.465 23 O -0.508 6.508 24 C -0.154 4.154 25 C -0.103 4.103 26 C 0.062 3.938 27 F -0.222 7.222 28 C -0.145 4.145 29 C -0.165 4.165 30 H 0.268 0.732 31 H 0.023 0.977 32 H 0.040 0.960 33 H 0.059 0.941 34 H 0.052 0.948 35 H 0.081 0.919 36 H 0.053 0.947 37 H 0.088 0.912 38 H 0.059 0.941 39 H 0.058 0.942 40 H 0.061 0.939 41 H 0.062 0.938 42 H 0.068 0.932 43 H 0.088 0.912 44 H 0.064 0.936 45 H 0.080 0.920 46 H 0.082 0.918 47 H 0.078 0.922 48 H 0.081 0.919 49 H 0.101 0.899 50 H 0.102 0.898 51 H 0.103 0.897 52 H 0.102 0.898 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.579 -18.425 7.004 19.720 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 N -0.554 5.554 2 C -0.223 4.223 3 Si 0.892 3.108 4 H -0.212 1.212 5 H -0.221 1.221 6 H -0.221 1.221 7 C -0.456 4.456 8 H 0.070 0.930 9 N -0.317 5.317 10 C 0.017 3.983 11 C -0.177 4.177 12 C -0.164 4.164 13 C 0.053 3.947 14 H 0.096 0.904 15 C 0.036 3.964 16 H 0.090 0.910 17 C -0.161 4.161 18 C -0.158 4.158 19 C -0.169 4.169 20 C -0.023 4.023 21 N -0.328 5.328 22 C 0.322 3.678 23 O -0.384 6.384 24 C -0.157 4.157 25 C -0.141 4.141 26 C 0.007 3.993 27 F -0.203 7.203 28 C -0.182 4.182 29 C -0.202 4.202 30 H 0.079 0.921 31 H 0.041 0.959 32 H 0.058 0.942 33 H 0.078 0.922 34 H 0.070 0.930 35 H 0.099 0.901 36 H 0.071 0.929 37 H 0.107 0.893 38 H 0.078 0.922 39 H 0.077 0.923 40 H 0.079 0.921 41 H 0.081 0.919 42 H 0.087 0.913 43 H 0.106 0.894 44 H 0.082 0.918 45 H 0.098 0.902 46 H 0.101 0.899 47 H 0.096 0.904 48 H 0.099 0.901 49 H 0.120 0.880 50 H 0.121 0.879 51 H 0.121 0.879 52 H 0.121 0.879 Dipole moment (debyes) X Y Z Total from point charges 0.708 -16.464 6.364 17.665 hybrid contribution 0.015 -1.544 0.439 1.605 sum 0.723 -18.008 6.802 19.263 Atomic orbital electron populations 1.70782 1.06630 1.30307 1.47659 1.25826 0.96556 1.01259 0.98674 0.83580 0.74827 0.76250 0.76153 1.21164 1.22093 1.22120 1.19599 0.96238 0.87245 1.42530 0.93012 1.44719 1.48517 1.01650 1.36852 1.21552 0.93004 0.93075 0.90648 1.22823 0.99662 0.97899 0.97292 1.23026 0.98505 0.98815 0.96011 1.21824 0.99434 0.85353 0.88102 0.90351 1.22102 0.95024 0.80236 0.99075 0.90964 1.21950 0.95791 1.03524 0.94863 1.21535 1.00878 0.95414 0.97941 1.21897 0.95699 0.98072 1.01245 1.21855 0.95241 1.01215 0.84002 1.48258 1.55038 1.14993 1.14534 1.19331 0.79067 0.84868 0.84496 1.90702 1.50080 1.76476 1.21168 1.21377 0.96154 0.92224 1.05976 1.21562 0.91053 1.03302 0.98141 1.21961 0.79079 1.03130 0.95125 1.92746 1.48190 1.94854 1.84551 1.23046 1.02517 0.97353 0.95291 1.23203 0.96123 1.02113 0.98744 0.92054 0.95936 0.94161 0.92229 0.92964 0.90111 0.92885 0.89334 0.92220 0.92277 0.92064 0.91938 0.91326 0.89397 0.91777 0.90186 0.89944 0.90358 0.90062 0.88023 0.87949 0.87904 0.87933 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 N -0.91 -27.05 13.07 55.49 0.73 -26.33 16 2 C -0.02 -0.57 5.19 -17.43 -0.09 -0.66 16 3 Si 1.06 25.58 29.98 -169.99 -5.10 20.49 16 4 H -0.29 -6.98 7.11 56.52 0.40 -6.57 16 5 H -0.29 -6.93 7.11 56.52 0.40 -6.53 16 6 H -0.29 -6.80 7.11 56.52 0.40 -6.39 16 7 C -0.33 -9.17 9.47 -15.06 -0.14 -9.32 16 8 H 0.05 1.50 7.94 -52.48 -0.42 1.08 16 9 N -0.59 -14.98 2.41 -162.43 -0.39 -15.37 16 10 C 0.14 3.43 5.77 -2.41 -0.01 3.41 16 11 C -0.14 -2.76 7.10 -24.47 -0.17 -2.94 16 12 C -0.13 -2.43 5.01 -24.90 -0.12 -2.55 16 13 C 0.16 3.45 2.28 -66.95 -0.15 3.29 16 14 H 0.08 1.90 5.76 -52.87 -0.30 1.60 16 15 C 0.14 2.66 2.68 -67.60 -0.18 2.48 16 16 H 0.07 1.60 7.88 -51.93 -0.41 1.19 16 17 C -0.12 -2.24 4.98 -26.60 -0.13 -2.37 16 18 C -0.12 -1.73 5.88 -26.68 -0.16 -1.88 16 19 C -0.13 -1.45 6.08 -26.61 -0.16 -1.61 16 20 C 0.10 1.15 5.74 -3.71 -0.02 1.12 16 21 N -0.60 -8.88 2.94 -165.22 -0.49 -9.37 16 22 C 0.54 7.87 5.60 -10.99 -0.06 7.81 16 23 O -0.51 -9.17 10.02 5.56 0.06 -9.12 16 24 C -0.15 -1.61 0.97 -155.65 -0.15 -1.76 16 25 C -0.10 -0.99 5.55 -26.73 -0.15 -1.13 16 26 C 0.06 0.71 7.29 37.16 0.27 0.98 16 27 F -0.22 -2.87 17.36 2.25 0.04 -2.83 16 28 C -0.14 -1.31 9.96 -26.69 -0.27 -1.57 16 29 C -0.16 -1.34 7.62 -26.69 -0.20 -1.54 16 30 H 0.27 7.89 5.43 -40.82 -0.22 7.67 16 31 H 0.02 0.58 6.78 -51.93 -0.35 0.22 16 32 H 0.04 1.04 8.14 -51.93 -0.42 0.62 16 33 H 0.06 1.19 8.14 -51.92 -0.42 0.77 16 34 H 0.05 0.92 8.14 -51.93 -0.42 0.50 16 35 H 0.08 1.54 5.69 -51.93 -0.30 1.24 16 36 H 0.05 0.99 5.34 -51.93 -0.28 0.71 16 37 H 0.09 1.99 6.95 -51.93 -0.36 1.63 16 38 H 0.06 1.07 5.62 -51.93 -0.29 0.78 16 39 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 40 H 0.06 0.92 8.14 -51.93 -0.42 0.50 16 41 H 0.06 0.68 7.66 -51.93 -0.40 0.28 16 42 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 43 H 0.09 0.80 4.63 -51.93 -0.24 0.56 16 44 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 45 H 0.08 0.78 8.14 -51.92 -0.42 0.35 16 46 H 0.08 0.64 8.11 -51.93 -0.42 0.22 16 47 H 0.08 0.82 8.14 -51.93 -0.42 0.40 16 48 H 0.08 1.08 7.59 -51.93 -0.39 0.69 16 49 H 0.10 1.04 8.14 -51.93 -0.42 0.62 16 50 H 0.10 0.74 8.14 -51.93 -0.42 0.32 16 51 H 0.10 0.63 8.14 -51.93 -0.42 0.21 16 52 H 0.10 0.90 7.21 -51.93 -0.37 0.52 16 LS Contribution 384.56 15.07 5.80 5.80 Total: -1.00 -31.01 384.56 -9.90 -40.91 By element: Atomic # 1 Polarization: 12.69 SS G_CDS: -8.63 Total: 4.07 kcal Atomic # 6 Polarization: -6.34 SS G_CDS: -1.91 Total: -8.25 kcal Atomic # 7 Polarization: -50.91 SS G_CDS: -0.15 Total: -51.06 kcal Atomic # 8 Polarization: -9.17 SS G_CDS: 0.06 Total: -9.12 kcal Atomic # 9 Polarization: -2.87 SS G_CDS: 0.04 Total: -2.83 kcal Atomic # 14 Polarization: 25.58 SS G_CDS: -5.10 Total: 20.49 kcal Total LS contribution 5.80 Total: 5.80 kcal Total: -31.01 -9.90 -40.91 kcal The number of atoms in the molecule is 52 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. ZINC001491280983.mol2 52 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 23.280 kcal (2) G-P(sol) polarization free energy of solvation -31.012 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -7.733 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.896 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.908 kcal (6) G-S(sol) free energy of system = (1) + (5) -17.628 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds