Wall clock time and date at job start Sat Apr 11 2020 06:09:54 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 1.52993 * 1 3 3 H 1.09006 * 109.46073 * 2 1 4 4 C 1.53035 * 109.45676 * 240.02539 * 2 1 3 5 5 C 1.53118 * 109.28025 * 180.81065 * 4 2 1 6 6 C 1.53118 * 109.16427 * 57.65177 * 5 4 2 7 7 H 1.09001 * 109.49905 * 62.28387 * 6 5 4 8 8 C 1.50695 * 109.50198 * 182.36570 * 6 5 4 9 9 O 1.20827 * 119.99689 * 120.00131 * 8 6 5 10 10 O 1.34226 * 120.00428 * 299.99807 * 8 6 5 11 11 C 1.45203 * 117.00438 * 180.02562 * 10 8 6 12 12 C 1.52998 * 109.46575 * 60.00086 * 11 10 8 13 13 C 1.52999 * 109.47270 * 179.97438 * 11 10 8 14 14 C 1.52993 * 109.47135 * 300.00302 * 11 10 8 15 15 C 1.53039 * 109.27549 * 302.34676 * 6 5 4 16 16 N 1.46843 * 109.52481 * 59.18078 * 15 6 5 17 17 C 1.46900 * 111.00330 * 174.15971 * 16 15 6 18 18 C 1.50705 * 109.46890 * 288.14114 * 17 16 15 19 19 O 1.21287 * 119.99738 * 359.97438 * 18 17 16 20 20 N 1.34777 * 119.99934 * 179.97438 * 18 17 16 21 21 C 1.46497 * 119.99858 * 179.97438 * 20 18 17 22 22 C 1.50699 * 109.46931 * 179.97438 * 21 20 18 23 23 H 1.07994 * 120.00087 * 0.02562 * 22 21 20 24 24 C 1.37879 * 119.99958 * 179.97438 * 22 21 20 25 25 N 1.31517 * 119.99915 * 0.02562 * 24 22 21 26 26 Si 1.86796 * 120.00191 * 180.02562 * 24 22 21 27 27 H 1.48500 * 109.47080 * 60.00075 * 26 24 22 28 28 H 1.48501 * 109.47523 * 180.02562 * 26 24 22 29 29 H 1.48506 * 109.47210 * 300.00384 * 26 24 22 30 30 H 1.09002 * 109.47213 * 307.46692 * 1 2 3 31 31 H 1.08999 * 109.47496 * 67.47540 * 1 2 3 32 32 H 1.09003 * 109.46964 * 187.47532 * 1 2 3 33 33 H 1.08998 * 109.50237 * 300.74989 * 4 2 1 34 34 H 1.09002 * 109.50419 * 60.82676 * 4 2 1 35 35 H 1.09002 * 109.52303 * 177.56414 * 5 4 2 36 36 H 1.09007 * 109.51852 * 297.74569 * 5 4 2 37 37 H 1.08999 * 109.47574 * 60.00409 * 12 11 10 38 38 H 1.09003 * 109.46963 * 179.97438 * 12 11 10 39 39 H 1.09000 * 109.47866 * 299.99784 * 12 11 10 40 40 H 1.09006 * 109.46333 * 60.00287 * 13 11 10 41 41 H 1.08994 * 109.46912 * 179.97438 * 13 11 10 42 42 H 1.09000 * 109.47629 * 300.00663 * 13 11 10 43 43 H 1.09009 * 109.47384 * 59.99808 * 14 11 10 44 44 H 1.08994 * 109.47371 * 179.97438 * 14 11 10 45 45 H 1.09002 * 109.47497 * 299.99775 * 14 11 10 46 46 H 1.08993 * 109.46317 * 299.15943 * 15 6 5 47 47 H 1.09000 * 109.45792 * 179.19098 * 15 6 5 48 48 H 1.08993 * 109.47509 * 168.13992 * 17 16 15 49 49 H 1.08998 * 109.46929 * 48.13877 * 17 16 15 50 50 H 0.97000 * 119.99943 * 359.97438 * 20 18 17 51 51 H 1.09003 * 109.47053 * 59.99984 * 21 20 18 52 52 H 1.08998 * 109.47295 * 299.99901 * 21 20 18 53 53 H 0.97002 * 119.99867 * 179.97438 * 25 24 22 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 1.5299 0.0000 0.0000 3 1 1.8931 1.0278 0.0000 4 6 2.0397 -0.7209 -1.2500 5 6 3.5707 -0.7363 -1.2357 6 6 4.0546 -1.4191 0.0466 7 1 3.7121 -2.4538 0.0593 8 6 5.5604 -1.3867 0.0963 9 8 6.1229 -0.8308 1.0098 10 8 6.2768 -1.9755 -0.8742 11 6 7.7227 -1.9055 -0.7612 12 6 8.1654 -2.5758 0.5410 13 6 8.3627 -2.6271 -1.9489 14 6 8.1635 -0.4404 -0.7561 15 6 3.4865 -0.6778 1.2589 16 7 2.0193 -0.6917 1.1994 17 6 1.4374 -0.1104 2.4166 18 6 1.6328 -1.0605 3.5700 19 8 2.2005 -2.1180 3.3950 20 7 1.1768 -0.7351 4.7958 21 6 1.3663 -1.6590 5.9168 22 6 0.7706 -1.0620 7.1658 23 1 0.2978 -0.0918 7.1281 24 6 0.8282 -1.7551 8.3563 25 7 1.4036 -2.9369 8.4021 26 14 0.0893 -1.0156 9.9043 27 1 -1.3621 -0.7801 9.6963 28 1 0.2814 -1.9519 11.0408 29 1 0.7615 0.2736 10.2067 30 1 -0.3634 0.6251 0.8157 31 1 -0.3634 0.3937 -0.9492 32 1 -0.3633 -1.0190 0.1337 33 1 1.6656 -1.7447 -1.2576 34 1 1.6887 -0.1986 -2.1399 35 1 3.9376 -1.2865 -2.1022 36 1 3.9455 0.2868 -1.2674 37 1 7.8515 -3.6196 0.5374 38 1 9.2509 -2.5237 0.6256 39 1 7.7096 -2.0622 1.3874 40 1 8.0472 -2.1498 -2.8767 41 1 9.4481 -2.5741 -1.8642 42 1 8.0486 -3.6708 -1.9521 43 1 7.7075 0.0733 0.0904 44 1 9.2488 -0.3878 -0.6708 45 1 7.8481 0.0372 -1.6837 46 1 3.8405 0.3530 1.2530 47 1 3.8175 -1.1701 2.1734 48 1 0.3720 0.0613 2.2638 49 1 1.9299 0.8363 2.6383 50 1 0.7232 0.1108 4.9357 51 1 2.4317 -1.8314 6.0694 52 1 0.8731 -2.6054 5.6951 53 1 1.4445 -3.4243 9.2397 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 ZINC000817277069.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 06:09:54 Heat of formation + Delta-G solvation = -132.895357 kcal Electronic energy + Delta-G solvation = -31040.018635 eV Core-core repulsion = 26911.293601 eV Total energy + Delta-G solvation = -4128.725034 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -41.12949 -39.67103 -38.14910 -37.03794 -34.49834 -34.11600 -33.57354 -32.45301 -32.26300 -28.44079 -27.77313 -27.63739 -27.59328 -26.37430 -24.01217 -23.13411 -22.18819 -21.30892 -19.94491 -19.59475 -19.47900 -17.39610 -17.00990 -16.75495 -16.25620 -15.89216 -15.47109 -15.29729 -14.89585 -14.72819 -14.63549 -14.30262 -14.20328 -13.97149 -13.79324 -13.65461 -13.23144 -12.79608 -12.70681 -12.62422 -12.35639 -12.24910 -12.16033 -12.11212 -12.07819 -12.05300 -11.86452 -11.62469 -11.54582 -11.33059 -11.12437 -11.04845 -10.96466 -10.86166 -10.62523 -10.54530 -10.43339 -10.28261 -9.91733 -9.37506 -8.97632 -8.69242 -8.20251 -7.80003 -6.13419 -4.20241 2.18325 2.49430 3.26988 3.31646 3.33140 3.46482 3.65329 4.25816 4.37466 4.45394 4.48235 4.51533 4.58781 4.66730 4.67447 4.80890 4.90627 5.18384 5.21862 5.22319 5.23399 5.30262 5.34635 5.36773 5.42603 5.43207 5.45964 5.50577 5.59130 5.61894 5.64678 5.67229 5.71567 5.74615 5.77926 5.86784 5.88981 6.01918 6.03894 6.11945 6.15738 6.23495 6.43765 6.97629 7.13057 7.37417 7.51024 7.57235 7.71668 7.77927 8.01228 8.69373 8.83466 9.19360 9.46542 10.96756 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011923 B = 0.002569 C = 0.002196 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2347.929275 B =10896.638462 C =12746.101936 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C 0.077 3.923 3 H 0.040 0.960 4 C -0.108 4.108 5 C -0.110 4.110 6 C -0.076 4.076 7 H 0.119 0.881 8 C 0.472 3.528 9 O -0.499 6.499 10 O -0.350 6.350 11 C 0.116 3.884 12 C -0.185 4.185 13 C -0.140 4.140 14 C -0.182 4.182 15 C 0.074 3.926 16 N -0.513 5.513 17 C 0.031 3.969 18 C 0.498 3.502 19 O -0.537 6.537 20 N -0.717 5.717 21 C 0.252 3.748 22 C -0.543 4.543 23 H 0.062 0.938 24 C 0.063 3.937 25 N -0.886 5.886 26 Si 0.903 3.097 27 H -0.275 1.275 28 H -0.285 1.285 29 H -0.276 1.276 30 H 0.058 0.942 31 H 0.060 0.940 32 H 0.069 0.931 33 H 0.078 0.922 34 H 0.072 0.928 35 H 0.078 0.922 36 H 0.063 0.937 37 H 0.062 0.938 38 H 0.070 0.930 39 H 0.085 0.915 40 H 0.065 0.935 41 H 0.077 0.923 42 H 0.067 0.933 43 H 0.084 0.916 44 H 0.070 0.930 45 H 0.059 0.941 46 H 0.037 0.963 47 H 0.101 0.899 48 H 0.106 0.894 49 H 0.059 0.941 50 H 0.389 0.611 51 H 0.025 0.975 52 H 0.026 0.974 53 H 0.266 0.734 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 7.462 6.474 -24.622 26.530 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 -0.208 4.208 2 C -0.031 4.031 3 H 0.058 0.942 4 C -0.146 4.146 5 C -0.148 4.148 6 C -0.095 4.095 7 H 0.137 0.863 8 C 0.314 3.686 9 O -0.386 6.386 10 O -0.268 6.268 11 C 0.080 3.920 12 C -0.242 4.242 13 C -0.197 4.197 14 C -0.239 4.239 15 C -0.053 4.053 16 N -0.238 5.238 17 C -0.100 4.100 18 C 0.282 3.718 19 O -0.415 6.415 20 N -0.366 5.366 21 C 0.132 3.868 22 C -0.581 4.581 23 H 0.080 0.920 24 C -0.140 4.140 25 N -0.523 5.523 26 Si 0.731 3.269 27 H -0.201 1.201 28 H -0.211 1.211 29 H -0.201 1.201 30 H 0.076 0.924 31 H 0.079 0.921 32 H 0.088 0.912 33 H 0.097 0.903 34 H 0.091 0.909 35 H 0.096 0.904 36 H 0.081 0.919 37 H 0.082 0.918 38 H 0.089 0.911 39 H 0.104 0.896 40 H 0.084 0.916 41 H 0.095 0.905 42 H 0.086 0.914 43 H 0.102 0.898 44 H 0.089 0.911 45 H 0.079 0.921 46 H 0.055 0.945 47 H 0.119 0.881 48 H 0.124 0.876 49 H 0.076 0.924 50 H 0.221 0.779 51 H 0.043 0.957 52 H 0.044 0.956 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges 7.985 5.206 -24.355 26.154 hybrid contribution -0.155 1.584 1.188 1.986 sum 7.830 6.790 -23.167 25.380 Atomic orbital electron populations 1.21954 0.94094 1.03146 1.01617 1.21703 0.95663 0.95375 0.90393 0.94173 1.21618 0.94207 1.02193 0.96581 1.21575 0.96647 1.00580 0.96012 1.21055 0.86330 1.04427 0.97692 0.86280 1.23576 0.91018 0.74703 0.79255 1.90594 1.72466 1.41113 1.34441 1.86541 1.20697 1.70942 1.48618 1.22169 0.76462 0.96470 0.96938 1.22503 1.02381 1.01368 0.97947 1.21840 1.00272 1.00977 0.96571 1.22482 1.02446 0.95287 1.03718 1.21928 0.86573 0.98563 0.98261 1.61453 1.06799 1.54793 1.00717 1.22107 1.01937 0.95981 0.89974 1.20306 0.79976 0.87661 0.83852 1.90644 1.42298 1.24664 1.83889 1.46443 1.58037 1.22908 1.09205 1.19057 0.97277 0.88730 0.81778 1.21197 1.39029 1.04574 0.93341 0.92000 1.24954 0.95149 0.94794 0.99141 1.69969 1.42658 1.12480 1.27189 0.86483 0.79571 0.78904 0.81985 1.20074 1.21089 1.20103 0.92355 0.92053 0.91183 0.90339 0.90921 0.90379 0.91869 0.91849 0.91146 0.89592 0.91592 0.90458 0.91412 0.89763 0.91139 0.92149 0.94523 0.88092 0.87619 0.92351 0.77926 0.95685 0.95586 0.92422 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 -1.37 8.57 37.15 0.32 -1.05 16 2 C 0.08 0.80 2.44 -67.72 -0.17 0.63 16 3 H 0.04 0.40 8.14 -51.93 -0.42 -0.02 16 4 C -0.11 -0.96 5.37 -26.65 -0.14 -1.10 16 5 C -0.11 -1.04 5.21 -26.61 -0.14 -1.18 16 6 C -0.08 -0.94 2.79 -91.69 -0.26 -1.19 16 7 H 0.12 1.54 8.14 -51.93 -0.42 1.12 16 8 C 0.47 6.30 6.57 36.00 0.24 6.53 16 9 O -0.50 -7.81 11.49 -18.75 -0.22 -8.03 16 10 O -0.35 -4.15 9.82 -39.25 -0.39 -4.54 16 11 C 0.12 1.17 1.13 -90.63 -0.10 1.07 16 12 C -0.18 -1.99 8.37 37.16 0.31 -1.68 16 13 C -0.14 -1.02 8.85 37.16 0.33 -0.69 16 14 C -0.18 -1.74 8.37 37.15 0.31 -1.43 16 15 C 0.07 1.10 3.69 -3.84 -0.01 1.08 16 16 N -0.51 -7.14 4.12 -228.13 -0.94 -8.08 16 17 C 0.03 0.45 5.27 -4.97 -0.03 0.42 16 18 C 0.50 10.03 7.52 -10.98 -0.08 9.95 16 19 O -0.54 -13.00 14.85 5.55 0.08 -12.92 16 20 N -0.72 -15.23 5.55 -61.47 -0.34 -15.57 16 21 C 0.25 6.79 5.43 -5.20 -0.03 6.76 16 22 C -0.54 -14.90 9.28 -34.44 -0.32 -15.22 16 23 H 0.06 1.58 7.60 -52.49 -0.40 1.18 16 24 C 0.06 1.78 5.46 -17.82 -0.10 1.68 16 25 N -0.89 -26.44 13.29 55.43 0.74 -25.70 16 26 Si 0.90 21.06 29.54 -169.99 -5.02 16.04 16 27 H -0.28 -6.26 7.11 56.52 0.40 -5.86 16 28 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 29 H -0.28 -6.29 7.11 56.52 0.40 -5.89 16 30 H 0.06 0.51 6.44 -51.93 -0.33 0.18 16 31 H 0.06 0.44 8.13 -51.93 -0.42 0.02 16 32 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 33 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 34 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 35 H 0.08 0.65 8.14 -51.93 -0.42 0.23 16 36 H 0.06 0.58 8.14 -51.92 -0.42 0.16 16 37 H 0.06 0.67 8.14 -51.93 -0.42 0.25 16 38 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 39 H 0.09 1.16 5.89 -51.93 -0.31 0.85 16 40 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 41 H 0.08 0.44 8.14 -51.93 -0.42 0.02 16 42 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 43 H 0.08 1.00 5.89 -51.92 -0.31 0.70 16 44 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 45 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 46 H 0.04 0.53 8.08 -51.93 -0.42 0.11 16 47 H 0.10 1.88 6.32 -51.93 -0.33 1.55 16 48 H 0.11 1.30 5.55 -51.93 -0.29 1.01 16 49 H 0.06 0.76 8.05 -51.93 -0.42 0.35 16 50 H 0.39 7.03 8.32 -40.82 -0.34 6.69 16 51 H 0.03 0.75 8.14 -51.93 -0.42 0.33 16 52 H 0.03 0.78 8.14 -51.93 -0.42 0.35 16 53 H 0.27 7.46 8.31 -40.82 -0.34 7.12 16 LS Contribution 413.13 15.07 6.23 6.23 Total: -1.00 -33.40 413.13 -9.19 -42.59 By element: Atomic # 1 Polarization: 14.87 SS G_CDS: -9.46 Total: 5.41 kcal Atomic # 6 Polarization: 4.45 SS G_CDS: 0.13 Total: 4.58 kcal Atomic # 7 Polarization: -48.81 SS G_CDS: -0.54 Total: -49.36 kcal Atomic # 8 Polarization: -24.97 SS G_CDS: -0.52 Total: -25.49 kcal Atomic # 14 Polarization: 21.06 SS G_CDS: -5.02 Total: 16.04 kcal Total LS contribution 6.23 Total: 6.23 kcal Total: -33.40 -9.19 -42.59 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. ZINC000817277069.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 -90.306 kcal (2) G-P(sol) polarization free energy of solvation -33.403 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -123.710 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.186 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.589 kcal (6) G-S(sol) free energy of system = (1) + (5) -132.895 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds