Wall clock time and date at job start Mon Mar 8 2021 05:28:20 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.53001 * 1 3 3 N 1.46497 * 109.47399 * 2 1 4 4 C 1.34779 * 120.00205 * 179.97438 * 3 2 1 5 5 O 1.21859 * 119.99873 * 0.02562 * 4 3 2 6 6 C 1.40182 * 119.99793 * 180.02562 * 4 3 2 7 7 S 1.55360 * 120.00071 * 180.02562 * 6 4 3 8 8 O 1.52197 * 102.99816 * 286.87605 * 7 6 4 9 9 C 1.76201 * 103.00146 * 180.02562 * 7 6 4 10 10 C 1.38258 * 119.96610 * 29.98005 * 9 7 6 11 11 C 1.38301 * 120.13995 * 179.97438 * 10 9 7 12 12 C 1.38096 * 120.07285 * 359.72500 * 11 10 9 13 13 C 1.38892 * 119.92555 * 0.56879 * 12 11 10 14 14 N 1.39918 * 120.07032 * 179.70117 * 13 12 11 15 15 C 1.34773 * 120.00117 * 326.55922 * 14 13 12 16 16 O 1.21288 * 120.00163 * 354.72075 * 15 14 13 17 17 C 1.50701 * 120.00114 * 174.72608 * 15 14 13 18 18 N 1.46498 * 109.47260 * 179.97438 * 17 15 14 19 19 C 1.36838 * 125.06011 * 265.02637 * 18 17 15 20 20 C 1.34239 * 109.93617 * 179.97438 * 19 18 17 21 21 C 1.50704 * 126.50057 * 180.02562 * 20 19 18 22 22 O 1.42900 * 109.47253 * 104.97217 * 21 20 19 23 23 Si 1.86301 * 109.46982 * 344.97182 * 21 20 19 24 24 H 1.48503 * 109.46941 * 59.99998 * 23 21 20 25 25 H 1.48497 * 109.46870 * 179.97438 * 23 21 20 26 26 H 1.48494 * 109.47181 * 300.00374 * 23 21 20 27 27 C 1.46497 * 107.00011 * 359.97438 * 20 19 18 28 28 C 1.39588 * 134.03586 * 180.02562 * 27 20 19 29 29 C 1.36667 * 119.76198 * 179.97438 * 28 27 20 30 30 C 1.38790 * 120.52941 * 0.02562 * 29 28 27 31 31 C 1.37794 * 120.66539 * 359.97438 * 30 29 28 32 32 C 1.37690 * 125.06407 * 84.71633 * 18 17 15 33 33 C 1.38139 * 119.96019 * 210.00023 * 9 7 6 34 34 H 1.09003 * 109.47056 * 299.99523 * 1 2 3 35 35 H 1.08998 * 109.47520 * 59.99517 * 1 2 3 36 36 H 1.08994 * 109.47377 * 180.02562 * 1 2 3 37 37 H 1.09011 * 109.46791 * 240.00559 * 2 1 3 38 38 H 1.08998 * 109.47520 * 120.00483 * 2 1 3 39 39 H 0.97004 * 119.99878 * 0.02562 * 3 2 1 40 40 H 1.08005 * 120.00731 * 0.02562 * 6 4 3 41 41 H 1.08000 * 119.92894 * 0.02562 * 10 9 7 42 42 H 1.08004 * 119.96065 * 180.02562 * 11 10 9 43 43 H 1.07997 * 120.03509 * 180.28114 * 12 11 10 44 44 H 0.97000 * 120.00005 * 146.54948 * 14 13 12 45 45 H 1.08999 * 109.47024 * 299.99732 * 17 15 14 46 46 H 1.09003 * 109.47060 * 60.00094 * 17 15 14 47 47 H 1.07994 * 125.03484 * 359.95960 * 19 18 17 48 48 H 1.09004 * 109.46909 * 224.97349 * 21 20 19 49 49 H 0.96705 * 113.99825 * 300.00257 * 22 21 20 50 50 H 1.08001 * 120.12133 * 359.97438 * 28 27 20 51 51 H 1.07995 * 119.73361 * 180.02562 * 29 28 27 52 52 H 1.07994 * 119.67087 * 180.02562 * 30 29 28 53 53 H 1.07995 * 120.11255 * 180.02562 * 31 30 29 54 54 H 1.07995 * 120.03583 * 0.02562 * 33 9 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 7 2.0184 1.3812 0.0000 4 6 3.3435 1.6274 0.0005 5 8 4.1353 0.7012 0.0005 6 6 3.8107 2.9491 0.0011 7 16 5.3382 3.2330 0.0011 8 8 5.7535 2.8717 1.4200 9 6 5.4141 4.9934 0.0026 10 6 4.4075 5.7275 0.6019 11 6 4.4637 7.1094 0.6057 12 6 5.5291 7.7602 0.0154 13 6 6.5389 7.0257 -0.5929 14 7 7.6166 7.6822 -1.1973 15 6 7.4293 8.8753 -1.7954 16 8 6.3114 9.3354 -1.8942 17 6 8.6088 9.6379 -2.3416 18 7 8.1451 10.8931 -2.9379 19 6 7.8640 11.0765 -4.2645 20 6 7.4634 12.3400 -4.4771 21 6 7.0618 12.9427 -5.7987 22 8 5.6404 13.0823 -5.8462 23 14 7.6233 11.8311 -7.1843 24 1 6.9895 10.4964 -7.0359 25 1 7.2270 12.4247 -8.4865 26 1 9.1003 11.6859 -7.1349 27 6 7.4895 13.0215 -3.1806 28 6 7.1877 14.3177 -2.7595 29 6 7.3179 14.6500 -1.4402 30 6 7.7485 13.7090 -0.5153 31 6 8.0517 12.4239 -0.9093 32 6 7.9214 12.0624 -2.2460 33 6 6.4793 5.6385 -0.5954 34 1 -0.3633 0.5138 0.8900 35 1 -0.3634 0.5139 -0.8899 36 1 -0.3634 -1.0276 0.0005 37 1 1.8933 -0.5138 -0.8901 38 1 1.8934 -0.5139 0.8899 39 1 1.3881 2.1185 0.0004 40 1 3.1090 3.7701 0.0015 41 1 3.5759 5.2208 1.0689 42 1 3.6760 7.6800 1.0751 43 1 5.5747 8.8392 0.0227 44 1 8.4986 7.2787 -1.1858 45 1 9.3067 9.8553 -1.5331 46 1 9.1088 9.0379 -3.1019 47 1 7.9517 10.3173 -5.0275 48 1 7.5270 13.9224 -5.9075 49 1 5.1600 12.2480 -5.7553 50 1 6.8525 15.0553 -3.4736 51 1 7.0840 15.6529 -1.1149 52 1 7.8460 13.9866 0.5238 53 1 8.3855 11.6988 -0.1820 54 1 7.2649 5.0644 -1.0640 RHF calculation, no. of doubly occupied orbitals= 79 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). S: (AM1): M.J.S. DEWAR, Y.-C. YUAN, INORGANIC CHEM., 29, 589 (1990) 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=WATER s_22_9704022_9818708.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Mon Mar 8 2021 05:28:20 Heat of formation + Delta-G solvation = -121.613966 kcal Electronic energy + Delta-G solvation = -39504.122584 eV Core-core repulsion = 34303.396776 eV Total energy + Delta-G solvation = -5200.725808 eV No. of doubly occupied orbitals = 79 Molecular weight (most abundant/longest-lived isotopes) = 442.144 amu Computer time = 2.01 seconds Orbital eigenvalues (eV) -42.56112 -41.42615 -39.89019 -39.47113 -38.05737 -37.57122 -35.94942 -35.81560 -34.09432 -33.83347 -32.03213 -31.87123 -31.61324 -30.74152 -30.20272 -29.16421 -28.54474 -25.83646 -24.36885 -24.01725 -23.58646 -23.34722 -22.53530 -21.70467 -21.26940 -20.63984 -19.34407 -18.71723 -18.43851 -17.82430 -17.58109 -17.53426 -17.08583 -17.03564 -16.48505 -16.40860 -16.29822 -16.19557 -16.06164 -15.76792 -15.54787 -15.43565 -15.17913 -14.75787 -14.72499 -14.65043 -14.55412 -14.47861 -14.41383 -14.38486 -13.97453 -13.63771 -13.37896 -13.22530 -13.11353 -12.89622 -12.68003 -12.66797 -12.61727 -12.51779 -12.38038 -12.29774 -12.29423 -12.09478 -11.86359 -11.63801 -11.52244 -11.18036 -10.56016 -10.51533 -10.31906 -10.23085 -9.97022 -9.80363 -9.20897 -9.13039 -9.10526 -8.60537 -7.71769 0.11070 0.17808 0.26790 0.67309 1.27347 1.36927 1.40865 1.55472 1.61884 1.71728 1.81207 1.99703 2.14359 2.64652 2.76173 2.98969 2.99277 3.33317 3.47832 3.66049 3.69889 3.75949 3.87241 3.90369 4.05571 4.08519 4.14678 4.15993 4.18627 4.19870 4.25859 4.34552 4.39591 4.48556 4.49363 4.55764 4.58767 4.64403 4.75627 4.76543 4.82799 4.87911 4.94223 5.01595 5.12991 5.14784 5.18206 5.20487 5.33565 5.41030 5.47963 5.54971 5.70386 5.78249 5.79381 5.80069 5.95855 6.02473 6.19072 6.25948 6.39806 6.78055 7.01440 7.08960 8.05025 Molecular weight = 442.14amu Principal moments of inertia in cm(-1) A = 0.009326 B = 0.001309 C = 0.001242 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3001.742754 B =21389.622175 C =22532.766560 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C 0.116 3.884 3 N -0.756 5.756 4 C 0.587 3.413 5 O -0.679 6.679 6 C -1.098 5.098 7 S 1.502 4.498 8 O -1.016 7.016 9 C -0.414 4.414 10 C -0.103 4.103 11 C -0.125 4.125 12 C -0.109 4.109 13 C 0.134 3.866 14 N -0.649 5.649 15 C 0.489 3.511 16 O -0.549 6.549 17 C 0.095 3.905 18 N -0.468 5.468 19 C 0.062 3.938 20 C -0.216 4.216 21 C -0.051 4.051 22 O -0.561 6.561 23 Si 0.990 3.010 24 H -0.253 1.253 25 H -0.270 1.270 26 H -0.246 1.246 27 C -0.112 4.112 28 C -0.083 4.083 29 C -0.153 4.153 30 C -0.107 4.107 31 C -0.139 4.139 32 C 0.090 3.910 33 C -0.075 4.075 34 H 0.059 0.941 35 H 0.069 0.931 36 H 0.093 0.907 37 H 0.047 0.953 38 H 0.029 0.971 39 H 0.394 0.606 40 H 0.101 0.899 41 H 0.092 0.908 42 H 0.134 0.866 43 H 0.132 0.868 44 H 0.435 0.565 45 H 0.152 0.848 46 H 0.172 0.828 47 H 0.192 0.808 48 H 0.114 0.886 49 H 0.384 0.616 50 H 0.127 0.873 51 H 0.140 0.860 52 H 0.143 0.857 53 H 0.127 0.873 54 H 0.175 0.825 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.937 22.892 -14.997 29.858 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 -0.202 4.202 2 C -0.008 4.008 3 N -0.408 5.408 4 C 0.395 3.605 5 O -0.576 6.576 6 C -1.229 5.229 7 S 1.707 4.293 8 O -1.012 7.012 9 C -0.510 4.510 10 C -0.122 4.122 11 C -0.145 4.145 12 C -0.130 4.130 13 C 0.039 3.961 14 N -0.297 5.297 15 C 0.276 3.724 16 O -0.424 6.424 17 C -0.030 4.030 18 N -0.150 5.150 19 C -0.064 4.064 20 C -0.223 4.223 21 C -0.161 4.161 22 O -0.367 6.367 23 Si 0.812 3.188 24 H -0.177 1.177 25 H -0.194 1.194 26 H -0.169 1.169 27 C -0.116 4.116 28 C -0.101 4.101 29 C -0.171 4.171 30 C -0.126 4.126 31 C -0.159 4.159 32 C -0.015 4.015 33 C -0.096 4.096 34 H 0.078 0.922 35 H 0.088 0.912 36 H 0.111 0.889 37 H 0.065 0.935 38 H 0.048 0.952 39 H 0.227 0.773 40 H 0.120 0.880 41 H 0.110 0.890 42 H 0.152 0.848 43 H 0.150 0.850 44 H 0.275 0.725 45 H 0.170 0.830 46 H 0.189 0.811 47 H 0.209 0.791 48 H 0.131 0.869 49 H 0.232 0.768 50 H 0.145 0.855 51 H 0.158 0.842 52 H 0.161 0.839 53 H 0.145 0.855 54 H 0.192 0.808 Dipole moment (debyes) X Y Z Total from point charges 12.932 21.801 -15.688 29.810 hybrid contribution -2.835 0.748 2.699 3.985 sum 10.098 22.549 -12.990 27.913 Atomic orbital electron populations 1.21891 0.91455 1.04161 1.02683 1.21163 0.96266 0.83697 0.99701 1.45702 1.06813 1.07788 1.80503 1.15551 0.81900 0.88238 0.74823 1.90555 1.56357 1.48457 1.62221 1.26948 1.21429 1.00658 1.73889 1.65459 0.83532 0.77175 1.03099 1.94373 1.84867 1.81416 1.40583 1.28094 0.98940 1.21142 1.02854 1.21133 0.98103 0.94794 0.98194 1.21244 0.99205 0.93679 1.00326 1.21146 0.94586 1.00165 0.97057 1.17670 0.90850 0.91161 0.96468 1.43276 1.11532 1.20393 1.54541 1.21887 0.91921 0.81154 0.77413 1.90813 1.26881 1.68122 1.56631 1.21958 0.93280 0.83897 1.03823 1.43426 1.57307 1.08051 1.06262 1.22033 1.01151 0.97723 0.85446 1.20859 1.11967 0.94266 0.95216 1.24532 0.84418 1.08187 0.98947 1.86442 1.17177 1.37139 1.95947 0.85185 0.80355 0.77576 0.75705 1.17680 1.19418 1.16897 1.19320 1.04754 0.94394 0.93175 1.20484 0.98650 0.94514 0.96490 1.20924 1.02655 1.00696 0.92873 1.21123 0.98703 0.92252 1.00517 1.20252 1.05676 0.97874 0.92101 1.18427 1.02740 0.86346 0.93975 1.20840 0.97766 0.92360 0.98684 0.92190 0.91190 0.88850 0.93458 0.95221 0.77311 0.88037 0.89011 0.84823 0.85012 0.72473 0.83043 0.81085 0.79124 0.86851 0.76812 0.85550 0.84237 0.83894 0.85467 0.80801 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 C -0.14 -3.91 10.03 71.98 0.72 -3.19 16 2 C 0.12 4.66 6.39 86.38 0.55 5.21 16 3 N -0.76 -36.67 5.54 -473.39 -2.62 -39.30 16 4 C 0.59 35.14 7.50 84.71 0.64 35.77 16 5 O -0.68 -44.73 16.28 -4.86 -0.08 -44.81 16 6 C -1.10 -63.49 8.32 68.29 0.57 -62.92 16 7 S 1.50 78.24 12.78 -56.49 -0.72 77.52 16 8 O -1.02 -69.34 18.25 -148.98 -2.72 -72.06 16 9 C -0.41 -18.04 5.67 22.25 0.13 -17.91 16 10 C -0.10 -4.60 8.93 22.29 0.20 -4.41 16 11 C -0.12 -4.67 10.04 22.25 0.22 -4.44 16 12 C -0.11 -3.62 8.66 22.39 0.19 -3.43 16 13 C 0.13 3.82 6.28 38.15 0.24 4.06 16 14 N -0.65 -11.02 5.34 -303.51 -1.62 -12.64 16 15 C 0.49 8.88 7.64 87.66 0.67 9.55 16 16 O -0.55 -16.02 14.11 -3.05 -0.04 -16.07 16 17 C 0.10 0.82 6.48 85.63 0.56 1.37 16 18 N -0.47 -7.56 2.27 -519.99 -1.18 -8.75 16 19 C 0.06 0.95 9.89 83.00 0.82 1.77 16 20 C -0.22 -3.92 5.58 -18.62 -0.10 -4.02 16 21 C -0.05 -0.75 3.06 71.24 0.22 -0.54 16 22 O -0.56 -9.98 12.88 -148.98 -1.92 -11.90 16 23 Si 0.99 10.68 26.08 68.60 1.79 12.47 16 24 H -0.25 -2.76 7.03 99.48 0.70 -2.07 16 25 H -0.27 -3.62 7.11 99.48 0.71 -2.92 16 26 H -0.25 -2.45 7.11 99.48 0.71 -1.74 16 27 C -0.11 -2.46 6.35 -20.20 -0.13 -2.59 16 28 C -0.08 -1.69 10.05 22.23 0.22 -1.47 16 29 C -0.15 -2.72 9.97 22.03 0.22 -2.50 16 30 C -0.11 -1.87 10.01 22.30 0.22 -1.65 16 31 C -0.14 -2.64 10.00 22.37 0.22 -2.41 16 32 C 0.09 1.87 6.79 39.03 0.27 2.13 16 33 C -0.08 -2.41 9.67 22.39 0.22 -2.20 16 34 H 0.06 1.58 8.14 -2.39 -0.02 1.56 16 35 H 0.07 1.72 8.14 -2.39 -0.02 1.70 16 36 H 0.09 2.00 8.14 -2.39 -0.02 1.98 16 37 H 0.05 1.92 8.14 -2.38 -0.02 1.90 16 38 H 0.03 1.29 8.14 -2.39 -0.02 1.27 16 39 H 0.39 17.03 8.42 -92.71 -0.78 16.25 16 40 H 0.10 5.74 6.09 -7.37 -0.04 5.69 16 41 H 0.09 4.57 6.49 -2.91 -0.02 4.55 16 42 H 0.13 4.36 8.06 -2.91 -0.02 4.34 16 43 H 0.13 4.24 6.43 -2.91 -0.02 4.22 16 44 H 0.43 3.21 8.82 -92.71 -0.82 2.40 16 45 H 0.15 0.46 8.14 -2.39 -0.02 0.44 16 46 H 0.17 -0.06 8.12 -2.39 -0.02 -0.08 16 47 H 0.19 1.74 6.29 -2.91 -0.02 1.72 16 48 H 0.11 1.51 7.96 -2.38 -0.02 1.49 16 49 H 0.38 5.03 8.70 -74.05 -0.64 4.39 16 50 H 0.13 2.29 8.06 -2.91 -0.02 2.27 16 51 H 0.14 1.81 8.06 -2.91 -0.02 1.79 16 52 H 0.14 1.80 8.06 -2.91 -0.02 1.78 16 53 H 0.13 1.97 8.06 -2.91 -0.02 1.95 16 54 H 0.17 3.89 8.06 -2.91 -0.02 3.87 16 Total: -1.00 -107.83 466.60 -2.78 -110.61 By element: Atomic # 1 Polarization: 59.26 SS G_CDS: -0.53 Total: 58.74 kcal Atomic # 6 Polarization: -60.67 SS G_CDS: 6.86 Total: -53.81 kcal Atomic # 7 Polarization: -55.26 SS G_CDS: -5.43 Total: -60.68 kcal Atomic # 8 Polarization: -140.08 SS G_CDS: -4.76 Total: -144.84 kcal Atomic # 14 Polarization: 10.68 SS G_CDS: 1.79 Total: 12.47 kcal Atomic # 16 Polarization: 78.24 SS G_CDS: -0.72 Total: 77.52 kcal Total: -107.83 -2.78 -110.61 kcal The number of atoms in the molecule is 54 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. s_22_9704022_9818708.mol2 54 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 -11.005 kcal (2) G-P(sol) polarization free energy of solvation -107.827 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -118.832 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.782 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -110.609 kcal (6) G-S(sol) free energy of system = (1) + (5) -121.614 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.02 seconds