Wall clock time and date at job start Sat Apr 11 2020 06:11:21 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 1.53007 * 1 3 3 H 1.08998 * 109.46975 * 2 1 4 4 C 1.52999 * 109.47395 * 239.99199 * 2 1 3 5 5 N 1.46501 * 109.46909 * 65.00447 * 4 2 1 6 6 C 1.34773 * 120.00024 * 179.97438 * 5 4 2 7 7 O 1.21512 * 120.00197 * 0.02562 * 6 5 4 8 8 O 1.34641 * 119.99961 * 179.97438 * 6 5 4 9 9 C 1.45199 * 117.00102 * 180.02562 * 8 6 5 10 10 C 1.53005 * 109.46758 * 59.99972 * 9 8 6 11 11 C 1.52997 * 109.47230 * 180.02562 * 9 8 6 12 12 C 1.53001 * 109.47284 * 300.00285 * 9 8 6 13 13 C 1.50704 * 109.46767 * 119.99575 * 2 1 3 14 14 O 1.21276 * 119.99862 * 119.99797 * 13 2 1 15 15 N 1.34781 * 120.00113 * 300.00082 * 13 2 1 16 16 C 1.46494 * 120.00187 * 180.02562 * 15 13 2 17 17 H 1.09001 * 110.05522 * 326.41569 * 16 15 13 18 18 C 1.53869 * 110.03514 * 87.83057 * 16 15 13 19 19 C 1.54266 * 106.59800 * 119.28428 * 18 16 15 20 20 C 1.55238 * 104.23333 * 23.61579 * 19 18 16 21 21 H 1.08993 * 110.76342 * 80.31404 * 20 19 18 22 22 C 1.50702 * 110.89800 * 203.79412 * 20 19 18 23 23 H 1.08003 * 119.99932 * 113.21199 * 22 20 19 24 24 C 1.37871 * 119.99624 * 293.21103 * 22 20 19 25 25 N 1.31522 * 119.99963 * 179.97438 * 24 22 20 26 26 Si 1.86803 * 120.00407 * 0.02562 * 24 22 20 27 27 H 1.48499 * 109.47223 * 90.00045 * 26 24 22 28 28 H 1.48499 * 109.46941 * 210.00001 * 26 24 22 29 29 H 1.48495 * 109.46868 * 329.99898 * 26 24 22 30 30 C 1.54266 * 110.03259 * 205.00121 * 16 15 13 31 31 H 1.08998 * 109.46975 * 179.97438 * 1 2 3 32 32 H 1.08993 * 109.47397 * 300.00498 * 1 2 3 33 33 H 1.08995 * 109.46541 * 60.00678 * 1 2 3 34 34 H 1.08998 * 109.47249 * 184.99966 * 4 2 1 35 35 H 1.09000 * 109.47293 * 305.00619 * 4 2 1 36 36 H 0.97003 * 119.99715 * 359.97438 * 5 4 2 37 37 H 1.09004 * 109.47014 * 60.00449 * 10 9 8 38 38 H 1.09008 * 109.46949 * 179.97438 * 10 9 8 39 39 H 1.09001 * 109.47369 * 299.99821 * 10 9 8 40 40 H 1.08991 * 109.47339 * 60.00055 * 11 9 8 41 41 H 1.08999 * 109.47162 * 180.02562 * 11 9 8 42 42 H 1.08998 * 109.47049 * 299.99752 * 11 9 8 43 43 H 1.09008 * 109.46700 * 59.99695 * 12 9 8 44 44 H 1.08999 * 109.47137 * 179.97438 * 12 9 8 45 45 H 1.08993 * 109.46762 * 300.00200 * 12 9 8 46 46 H 0.97003 * 119.99576 * 0.02562 * 15 13 2 47 47 H 1.08999 * 110.04012 * 238.57075 * 18 16 15 48 48 H 1.09003 * 110.03070 * 0.02562 * 18 16 15 49 49 H 1.09005 * 110.48526 * 142.29451 * 19 18 16 50 50 H 1.09006 * 110.48581 * 264.93644 * 19 18 16 51 51 H 0.96990 * 120.00360 * 180.02562 * 25 24 22 52 52 H 1.09002 * 110.48629 * 335.78326 * 30 16 15 53 53 H 1.08998 * 110.48744 * 98.29230 * 30 16 15 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 1.5301 0.0000 0.0000 3 1 1.8934 1.0277 0.0000 4 6 2.0401 -0.7214 -1.2491 5 7 1.6527 0.0351 -2.4423 6 6 1.9967 -0.4134 -3.6658 7 8 2.6279 -1.4455 -3.7792 8 8 1.6402 0.2816 -4.7624 9 6 2.0443 -0.2611 -6.0471 10 6 1.4356 -1.6533 -6.2268 11 6 1.5535 0.6590 -7.1666 12 6 3.5700 -0.3607 -6.1016 13 6 2.0323 -0.7104 1.2306 14 8 2.7295 -1.6964 1.1194 15 7 1.7067 -0.2498 2.4547 16 6 2.1953 -0.9400 3.6509 17 1 2.2600 -2.0119 3.4638 18 6 3.5761 -0.3903 4.0495 19 6 3.4239 0.1974 5.4677 20 6 2.1991 -0.5496 6.0609 21 1 2.4867 -1.5364 6.4233 22 6 1.5571 0.2583 7.1592 23 1 0.5645 0.6617 7.0232 24 6 2.2369 0.4822 8.3376 25 7 1.6768 1.1876 9.2960 26 14 3.9539 -0.2151 8.5725 27 1 4.9577 0.7700 8.0959 28 1 4.1812 -0.4960 10.0129 29 1 4.0876 -1.4735 7.7956 30 6 1.2522 -0.6672 4.8408 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5139 0.8899 33 1 -0.3632 0.5137 -0.8900 34 1 3.1264 -0.7996 -1.2054 35 1 1.6055 -1.7199 -1.2950 36 1 1.1485 0.8589 -2.3518 37 1 0.3485 -1.5824 -6.1880 38 1 1.7385 -2.0606 -7.1914 39 1 1.7856 -2.3086 -5.4292 40 1 1.9874 1.6506 -7.0385 41 1 1.8564 0.2514 -8.1311 42 1 0.4665 0.7303 -7.1280 43 1 3.9200 -1.0161 -5.3039 44 1 3.8733 -0.7686 -7.0658 45 1 4.0036 0.6310 -5.9735 46 1 1.1487 0.5387 2.5435 47 1 4.3110 -1.1954 4.0559 48 1 3.8825 0.3903 3.3531 49 1 4.3162 -0.0022 6.0611 50 1 3.2295 1.2688 5.4178 51 1 2.1551 1.3455 10.1249 52 1 0.7070 0.2646 4.6896 53 1 0.5580 -1.4967 4.9752 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 ZINC000496774827.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 06:11:21 Heat of formation + Delta-G solvation = -141.450742 kcal Electronic energy + Delta-G solvation = -29915.544472 eV Core-core repulsion = 25786.448449 eV Total energy + Delta-G solvation = -4129.096023 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -41.07213 -40.09822 -38.02247 -37.33291 -35.72831 -34.43685 -33.88458 -32.68357 -31.91211 -28.55048 -27.78976 -27.72624 -27.68110 -26.99704 -24.26797 -23.36270 -22.11984 -20.68307 -20.16147 -19.81474 -19.20686 -18.49036 -17.29224 -16.99208 -16.66552 -16.54992 -15.81948 -15.59931 -15.20514 -15.00938 -14.84796 -14.66947 -14.32086 -13.87430 -13.79234 -13.62356 -13.23021 -12.88001 -12.81625 -12.61338 -12.57013 -12.49812 -12.44047 -12.26886 -12.26345 -11.97715 -11.67879 -11.66239 -11.56945 -11.48559 -11.14784 -11.01314 -10.69736 -10.50435 -10.34493 -10.16281 -10.08840 -9.78728 -9.64399 -9.52366 -9.47419 -9.06961 -8.81028 -8.56484 -6.10641 -4.10108 1.82435 2.58540 2.63278 3.23578 3.27600 3.37274 3.39300 3.87482 4.24811 4.34142 4.38513 4.40111 4.52890 4.56681 4.59986 4.94475 5.08745 5.15899 5.16544 5.17715 5.27260 5.31392 5.35184 5.36916 5.40299 5.42393 5.49313 5.50344 5.54304 5.60753 5.67986 5.80082 5.88242 5.93976 6.06973 6.08158 6.09022 6.22493 6.26232 6.37884 6.45291 6.53269 6.64413 6.79703 6.97292 7.05801 7.10254 7.46677 7.61196 7.73372 8.10571 8.27396 8.48163 8.92119 9.52420 11.02347 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.034299 B = 0.001714 C = 0.001685 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 816.161284 B =16331.358150 C =16617.099707 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.126 4.126 3 H 0.106 0.894 4 C 0.157 3.843 5 N -0.710 5.710 6 C 0.649 3.351 7 O -0.564 6.564 8 O -0.366 6.366 9 C 0.136 3.864 10 C -0.184 4.184 11 C -0.141 4.141 12 C -0.184 4.184 13 C 0.519 3.481 14 O -0.540 6.540 15 N -0.714 5.714 16 C 0.136 3.864 17 H 0.085 0.915 18 C -0.131 4.131 19 C -0.129 4.129 20 C 0.014 3.986 21 H 0.036 0.964 22 C -0.510 4.510 23 H 0.073 0.927 24 C 0.071 3.929 25 N -0.902 5.902 26 Si 0.879 3.121 27 H -0.278 1.278 28 H -0.294 1.294 29 H -0.264 1.264 30 C -0.110 4.110 31 H 0.066 0.934 32 H 0.069 0.931 33 H 0.066 0.934 34 H 0.082 0.918 35 H 0.080 0.920 36 H 0.405 0.595 37 H 0.059 0.941 38 H 0.070 0.930 39 H 0.088 0.912 40 H 0.066 0.934 41 H 0.080 0.920 42 H 0.066 0.934 43 H 0.088 0.912 44 H 0.070 0.930 45 H 0.059 0.941 46 H 0.400 0.600 47 H 0.059 0.941 48 H 0.056 0.944 49 H 0.045 0.955 50 H 0.066 0.934 51 H 0.263 0.737 52 H 0.067 0.933 53 H 0.059 0.941 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.141 0.611 -30.801 30.882 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 -0.204 4.204 2 C -0.147 4.147 3 H 0.124 0.876 4 C 0.034 3.966 5 N -0.370 5.370 6 C 0.402 3.598 7 O -0.452 6.452 8 O -0.281 6.281 9 C 0.100 3.900 10 C -0.241 4.241 11 C -0.198 4.198 12 C -0.242 4.242 13 C 0.303 3.697 14 O -0.417 6.417 15 N -0.364 5.364 16 C 0.033 3.967 17 H 0.103 0.897 18 C -0.170 4.170 19 C -0.167 4.167 20 C -0.005 4.005 21 H 0.054 0.946 22 C -0.548 4.548 23 H 0.092 0.908 24 C -0.130 4.130 25 N -0.540 5.540 26 Si 0.707 3.293 27 H -0.204 1.204 28 H -0.220 1.220 29 H -0.188 1.188 30 C -0.148 4.148 31 H 0.085 0.915 32 H 0.088 0.912 33 H 0.085 0.915 34 H 0.100 0.900 35 H 0.098 0.902 36 H 0.240 0.760 37 H 0.078 0.922 38 H 0.089 0.911 39 H 0.107 0.893 40 H 0.085 0.915 41 H 0.099 0.901 42 H 0.085 0.915 43 H 0.107 0.893 44 H 0.089 0.911 45 H 0.078 0.922 46 H 0.234 0.766 47 H 0.078 0.922 48 H 0.075 0.925 49 H 0.064 0.936 50 H 0.085 0.915 51 H 0.073 0.927 52 H 0.086 0.914 53 H 0.078 0.922 Dipole moment (debyes) X Y Z Total from point charges -1.290 -0.565 -30.823 30.855 hybrid contribution 0.539 0.572 0.348 0.859 sum -0.751 0.007 -30.475 30.485 Atomic orbital electron populations 1.21831 0.92125 1.03469 1.03011 1.21502 0.98382 1.01550 0.93306 0.87637 1.21089 1.01292 0.94507 0.79699 1.44715 1.60158 1.29034 1.03136 1.18030 0.78448 0.81902 0.81395 1.90931 1.43510 1.24709 1.86088 1.86290 1.74453 1.52717 1.14672 1.22075 0.95121 0.94092 0.78749 1.22524 1.01082 0.96376 1.04139 1.21860 1.02317 0.99583 0.96009 1.22525 0.93957 1.03354 1.04321 1.20151 0.80366 0.84616 0.84526 1.90732 1.37917 1.26317 1.86761 1.46278 1.52904 1.31758 1.05511 1.21872 0.94481 0.96768 0.83612 0.89736 1.22559 0.96191 0.99978 0.98281 1.22852 0.99665 1.00834 0.93341 1.20141 0.91306 0.96267 0.92820 0.94559 1.20958 1.03363 1.32608 0.97849 0.90846 1.24989 0.97758 0.94529 0.95741 1.69899 1.38114 1.39744 1.06226 0.86903 0.85254 0.80391 0.76710 1.20380 1.22040 1.18830 1.22572 0.97468 1.01058 0.93692 0.91519 0.91199 0.91482 0.89999 0.90160 0.76035 0.92168 0.91121 0.89296 0.91453 0.90118 0.91467 0.89300 0.91114 0.92152 0.76553 0.92228 0.92500 0.93625 0.91539 0.92675 0.91423 0.92181 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -0.97 8.96 37.16 0.33 -0.64 16 2 C -0.13 -1.06 2.76 -91.77 -0.25 -1.31 16 3 H 0.11 0.69 8.14 -51.93 -0.42 0.26 16 4 C 0.16 1.58 4.41 -4.04 -0.02 1.56 16 5 N -0.71 -6.11 5.29 -65.28 -0.35 -6.46 16 6 C 0.65 7.13 8.06 54.05 0.44 7.56 16 7 O -0.56 -7.73 11.88 -19.28 -0.23 -7.96 16 8 O -0.37 -3.52 9.94 -40.33 -0.40 -3.92 16 9 C 0.14 1.10 1.13 -90.62 -0.10 0.99 16 10 C -0.18 -1.47 8.37 37.16 0.31 -1.16 16 11 C -0.14 -0.75 8.85 37.16 0.33 -0.42 16 12 C -0.18 -1.50 8.37 37.16 0.31 -1.19 16 13 C 0.52 6.60 7.15 -10.98 -0.08 6.52 16 14 O -0.54 -9.10 15.57 5.56 0.09 -9.02 16 15 N -0.71 -9.01 4.88 -52.73 -0.26 -9.26 16 16 C 0.14 2.18 3.25 -66.82 -0.22 1.96 16 17 H 0.08 1.44 7.57 -51.93 -0.39 1.04 16 18 C -0.13 -2.25 6.59 -25.62 -0.17 -2.42 16 19 C -0.13 -2.61 5.34 -24.88 -0.13 -2.74 16 20 C 0.01 0.31 2.28 -89.59 -0.20 0.10 16 21 H 0.04 0.83 7.02 -51.93 -0.36 0.47 16 22 C -0.51 -13.62 9.08 -34.44 -0.31 -13.93 16 23 H 0.07 2.11 8.01 -52.48 -0.42 1.69 16 24 C 0.07 2.00 5.46 -17.82 -0.10 1.90 16 25 N -0.90 -26.92 13.96 55.43 0.77 -26.14 16 26 Si 0.88 21.35 24.81 -169.99 -4.22 17.14 16 27 H -0.28 -6.61 7.11 56.52 0.40 -6.21 16 28 H -0.29 -7.18 7.11 56.52 0.40 -6.78 16 29 H -0.26 -6.16 6.45 56.52 0.36 -5.79 16 30 C -0.11 -1.95 5.93 -25.07 -0.15 -2.10 16 31 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 32 H 0.07 0.42 7.56 -51.93 -0.39 0.02 16 33 H 0.07 0.33 7.18 -51.93 -0.37 -0.04 16 34 H 0.08 0.99 7.95 -51.93 -0.41 0.58 16 35 H 0.08 0.93 8.14 -51.93 -0.42 0.51 16 36 H 0.40 2.41 7.76 -40.82 -0.32 2.09 16 37 H 0.06 0.45 8.14 -51.93 -0.42 0.03 16 38 H 0.07 0.44 8.14 -51.92 -0.42 0.01 16 39 H 0.09 0.94 5.88 -51.93 -0.31 0.63 16 40 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 41 H 0.08 0.30 8.14 -51.93 -0.42 -0.12 16 42 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 43 H 0.09 0.95 5.88 -51.92 -0.31 0.65 16 44 H 0.07 0.44 8.14 -51.93 -0.42 0.02 16 45 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 46 H 0.40 4.08 7.78 -40.82 -0.32 3.76 16 47 H 0.06 1.02 8.14 -51.93 -0.42 0.60 16 48 H 0.06 0.91 7.92 -51.93 -0.41 0.50 16 49 H 0.05 0.96 5.44 -51.93 -0.28 0.67 16 50 H 0.07 1.37 8.05 -51.93 -0.42 0.95 16 51 H 0.26 7.42 8.31 -40.82 -0.34 7.08 16 52 H 0.07 1.16 7.63 -51.93 -0.40 0.77 16 53 H 0.06 1.03 8.14 -51.93 -0.42 0.61 16 LS Contribution 410.64 15.07 6.19 6.19 Total: -1.00 -33.01 410.64 -7.77 -40.78 By element: Atomic # 1 Polarization: 13.31 SS G_CDS: -9.35 Total: 3.96 kcal Atomic # 6 Polarization: -5.29 SS G_CDS: -0.01 Total: -5.31 kcal Atomic # 7 Polarization: -42.04 SS G_CDS: 0.17 Total: -41.86 kcal Atomic # 8 Polarization: -20.35 SS G_CDS: -0.54 Total: -20.89 kcal Atomic # 14 Polarization: 21.35 SS G_CDS: -4.22 Total: 17.14 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -33.01 -7.77 -40.78 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. ZINC000496774827.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 -100.669 kcal (2) G-P(sol) polarization free energy of solvation -33.013 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -133.682 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.769 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.781 kcal (6) G-S(sol) free energy of system = (1) + (5) -141.451 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds