Wall clock time and date at job start Sat Apr 11 2020 06:14:24 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 O 1.42904 * 1 3 3 C 1.42905 * 114.00018 * 2 1 4 4 C 1.52992 * 109.47047 * 180.02562 * 3 2 1 5 5 C 1.50706 * 109.54351 * 299.99544 * 4 3 2 6 6 O 1.21276 * 120.00012 * 239.99991 * 5 4 3 7 7 N 1.34778 * 119.99839 * 60.00202 * 5 4 3 8 8 C 1.46498 * 119.99912 * 179.97438 * 7 5 4 9 9 H 1.08999 * 109.52132 * 34.91961 * 8 7 5 10 10 C 1.53032 * 109.49960 * 274.84007 * 8 7 5 11 11 C 1.53041 * 109.53949 * 301.41418 * 10 8 7 12 12 C 1.53194 * 109.30959 * 298.63623 * 11 10 8 13 13 N 1.46922 * 108.77555 * 54.63361 * 12 11 10 14 14 C 1.36947 * 120.62947 * 126.41209 * 13 12 11 15 15 H 1.07991 * 119.99978 * 209.01845 * 14 13 12 16 16 C 1.38813 * 119.99697 * 29.01692 * 14 13 12 17 17 N 1.31613 * 120.00284 * 15.06927 * 16 14 13 18 18 Si 1.86797 * 119.99826 * 195.06278 * 16 14 13 19 19 H 1.48504 * 109.47088 * 90.00343 * 18 16 14 20 20 H 1.48501 * 109.47387 * 210.00409 * 18 16 14 21 21 H 1.48507 * 109.47183 * 330.00528 * 18 16 14 22 22 C 1.46922 * 118.74298 * 306.38807 * 13 12 11 23 23 H 1.08997 * 109.58648 * 293.68289 * 22 13 12 24 24 C 1.52992 * 109.59002 * 173.39648 * 22 13 12 25 25 C 1.53177 * 109.54768 * 60.17481 * 4 3 2 26 26 C 1.53282 * 109.06516 * 176.85317 * 25 4 3 27 27 O 1.42907 * 109.45925 * 302.44228 * 26 25 4 28 28 C 1.42907 * 114.09486 * 61.16242 * 27 26 25 29 29 C 1.53087 * 109.41324 * 298.83796 * 28 27 26 30 30 H 1.09000 * 109.46667 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.46720 * 300.00249 * 1 2 3 32 32 H 1.09000 * 109.46903 * 59.99986 * 1 2 3 33 33 H 1.08998 * 109.47169 * 59.99734 * 3 2 1 34 34 H 1.09002 * 109.46538 * 299.99567 * 3 2 1 35 35 H 0.97000 * 119.99723 * 0.02562 * 7 5 4 36 36 H 1.08999 * 109.45898 * 181.39499 * 10 8 7 37 37 H 1.09001 * 109.44893 * 61.42557 * 10 8 7 38 38 H 1.08999 * 109.50153 * 178.68442 * 11 10 8 39 39 H 1.09000 * 109.52583 * 58.59926 * 11 10 8 40 40 H 1.08994 * 109.58842 * 294.84486 * 12 11 10 41 41 H 1.09007 * 109.70282 * 174.48757 * 12 11 10 42 42 H 0.96998 * 120.00129 * 179.97438 * 17 16 14 43 43 H 1.08999 * 109.47004 * 60.00152 * 24 22 13 44 44 H 1.09000 * 109.47117 * 300.00408 * 24 22 13 45 45 H 1.09005 * 109.47354 * 180.02562 * 24 22 13 46 46 H 1.08997 * 109.52218 * 296.84302 * 25 4 3 47 47 H 1.09003 * 109.52315 * 57.02963 * 25 4 3 48 48 H 1.09001 * 109.45658 * 182.45018 * 26 25 4 49 49 H 1.08997 * 109.46819 * 62.45129 * 26 25 4 50 50 H 1.09004 * 109.47559 * 178.85874 * 28 27 26 51 51 H 1.08997 * 109.48750 * 58.82732 * 28 27 26 52 52 H 1.09003 * 109.52738 * 297.70627 * 29 28 27 53 53 H 1.08997 * 109.52557 * 177.51558 * 29 28 27 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 8 1.4290 0.0000 0.0000 3 6 2.0103 1.3055 0.0000 4 6 3.5354 1.1847 -0.0006 5 6 3.9824 0.4368 1.2291 6 8 4.7249 0.9696 2.0263 7 7 3.5571 -0.8241 1.4427 8 6 3.9920 -1.5513 2.6378 9 1 4.0867 -0.8567 3.4724 10 6 5.3450 -2.2137 2.3685 11 6 5.2211 -3.1646 1.1758 12 6 4.2031 -4.2608 1.5056 13 7 2.9394 -3.6276 1.9064 14 6 1.7644 -3.9620 1.2876 15 1 0.9666 -3.2376 1.2160 16 6 1.5988 -5.2320 0.7523 17 7 2.4257 -6.1999 1.0864 18 14 0.2023 -5.5674 -0.4421 19 1 0.6662 -5.3135 -1.8298 20 1 -0.2284 -6.9829 -0.3153 21 1 -0.9410 -4.6722 -0.1308 22 6 2.9601 -2.6292 2.9841 23 1 3.2328 -3.1108 3.9232 24 6 1.5764 -1.9905 3.1183 25 6 3.9891 0.4287 -1.2533 26 6 5.5210 0.3827 -1.2829 27 8 6.0380 1.7146 -1.2542 28 6 5.6836 2.4529 -0.0830 29 6 4.1603 2.5832 -0.0052 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3633 0.5138 -0.8900 33 1 1.6886 1.8464 0.8899 34 1 1.6887 1.8463 -0.8901 35 1 2.9635 -1.2503 0.8048 36 1 5.6563 -2.7749 3.2495 37 1 6.0867 -1.4466 2.1457 38 1 6.1905 -3.6183 0.9699 39 1 4.8861 -2.6087 0.3000 40 1 4.5796 -4.8750 2.3235 41 1 4.0368 -4.8843 0.6270 42 1 2.3098 -7.0875 0.7127 43 1 0.8417 -2.7609 3.3522 44 1 1.3077 -1.5052 2.1800 45 1 1.5940 -1.2499 3.9179 46 1 3.5925 -0.5862 -1.2298 47 1 3.6233 0.9433 -2.1418 48 1 5.8517 -0.1160 -2.1940 49 1 5.8847 -0.1673 -0.4150 50 1 6.1315 3.4455 -0.1297 51 1 6.0494 1.9302 0.8008 52 1 3.7978 3.1413 -0.8685 53 1 3.8859 3.1077 0.9101 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 ZINC001507372371.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 06:14:24 Heat of formation + Delta-G solvation = -112.030681 kcal Electronic energy + Delta-G solvation = -34364.578776 eV Core-core repulsion = 30236.758502 eV Total energy + Delta-G solvation = -4127.820274 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 2.42 seconds Orbital eigenvalues (eV) -40.86574 -38.64991 -37.71237 -37.20480 -34.10157 -33.89975 -32.33023 -31.70118 -30.90305 -29.31125 -28.15309 -26.32066 -25.94206 -24.99593 -23.67582 -23.39876 -22.32660 -21.42255 -20.70654 -19.23079 -18.63844 -16.83580 -16.51488 -16.43614 -16.17370 -15.85328 -15.59718 -15.26855 -14.96165 -14.79822 -14.47977 -14.33659 -13.92300 -13.81822 -13.62219 -13.19097 -13.05420 -12.91262 -12.58245 -12.40128 -12.27019 -12.16949 -11.89706 -11.77267 -11.40873 -11.27350 -11.18388 -11.15854 -10.96202 -10.69982 -10.62534 -10.57686 -10.48434 -10.40601 -10.08109 -9.99137 -9.73525 -9.61235 -9.54425 -9.28515 -9.06616 -8.49377 -8.32937 -6.65205 -5.78735 -3.23086 2.96819 3.34102 3.40071 3.42710 3.58459 3.72399 3.96494 4.45943 4.57412 4.66789 4.83742 5.03711 5.12600 5.22886 5.26031 5.32591 5.34414 5.35919 5.40393 5.44345 5.60881 5.62656 5.63045 5.65416 5.71732 5.75102 5.78442 5.84048 5.87210 5.99120 6.02255 6.10193 6.15645 6.22061 6.28179 6.37328 6.46017 6.55638 6.70795 6.72755 6.82656 6.96936 7.04812 7.10477 7.21533 7.26265 7.40807 7.69489 7.80759 8.20669 8.44536 8.77230 9.20631 9.83776 10.40979 11.29296 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012638 B = 0.004948 C = 0.004456 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2214.950967 B = 5656.976827 C = 6282.410543 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.379 6.379 3 C 0.074 3.926 4 C -0.078 4.078 5 C 0.520 3.480 6 O -0.560 6.560 7 N -0.683 5.683 8 C 0.131 3.869 9 H 0.072 0.928 10 C -0.120 4.120 11 C -0.140 4.140 12 C 0.171 3.829 13 N -0.584 5.584 14 C -0.246 4.246 15 H 0.071 0.929 16 C 0.004 3.996 17 N -0.902 5.902 18 Si 0.898 3.102 19 H -0.288 1.288 20 H -0.293 1.293 21 H -0.280 1.280 22 C 0.161 3.839 23 H 0.036 0.964 24 C -0.138 4.138 25 C -0.139 4.139 26 C 0.059 3.941 27 O -0.386 6.386 28 C 0.052 3.948 29 C -0.125 4.125 30 H 0.094 0.906 31 H 0.039 0.961 32 H 0.038 0.962 33 H 0.053 0.947 34 H 0.058 0.942 35 H 0.418 0.582 36 H 0.061 0.939 37 H 0.048 0.952 38 H 0.046 0.954 39 H 0.052 0.948 40 H 0.016 0.984 41 H 0.088 0.912 42 H 0.252 0.748 43 H 0.060 0.940 44 H 0.062 0.938 45 H 0.035 0.965 46 H 0.090 0.910 47 H 0.078 0.922 48 H 0.095 0.905 49 H 0.053 0.947 50 H 0.089 0.911 51 H 0.079 0.921 52 H 0.073 0.927 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.689 14.827 -2.969 15.137 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 -0.061 4.061 2 O -0.298 6.298 3 C -0.003 4.003 4 C -0.082 4.082 5 C 0.305 3.695 6 O -0.441 6.441 7 N -0.335 5.335 8 C 0.025 3.975 9 H 0.090 0.910 10 C -0.159 4.159 11 C -0.179 4.179 12 C 0.045 3.955 13 N -0.307 5.307 14 C -0.376 4.376 15 H 0.088 0.912 16 C -0.195 4.195 17 N -0.547 5.547 18 Si 0.729 3.271 19 H -0.216 1.216 20 H -0.220 1.220 21 H -0.206 1.206 22 C 0.054 3.946 23 H 0.054 0.946 24 C -0.196 4.196 25 C -0.177 4.177 26 C -0.018 4.018 27 O -0.305 6.305 28 C -0.024 4.024 29 C -0.163 4.163 30 H 0.112 0.888 31 H 0.058 0.942 32 H 0.057 0.943 33 H 0.071 0.929 34 H 0.076 0.924 35 H 0.259 0.741 36 H 0.079 0.921 37 H 0.067 0.933 38 H 0.064 0.936 39 H 0.071 0.929 40 H 0.035 0.965 41 H 0.106 0.894 42 H 0.062 0.938 43 H 0.079 0.921 44 H 0.081 0.919 45 H 0.054 0.946 46 H 0.109 0.891 47 H 0.097 0.903 48 H 0.113 0.887 49 H 0.071 0.929 50 H 0.107 0.893 51 H 0.097 0.903 52 H 0.092 0.908 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges 1.375 14.873 -2.594 15.160 hybrid contribution -1.446 -0.422 -0.669 1.649 sum -0.071 14.451 -3.263 14.814 Atomic orbital electron populations 1.22759 0.80352 1.03572 0.99415 1.87844 1.20171 1.26499 1.95259 1.22455 0.91316 0.85842 1.00696 1.20941 0.94835 0.97001 0.95374 1.20125 0.80556 0.82347 0.86495 1.90584 1.37494 1.68638 1.47375 1.46103 1.48749 1.13059 1.25590 1.21517 0.95123 0.93668 0.87208 0.90989 1.21761 0.96453 0.98315 0.99331 1.22140 0.99604 0.98862 0.97279 1.20810 0.83427 0.91378 0.99879 1.44126 1.04062 1.45373 1.37156 1.19152 0.93826 0.94671 1.29925 0.91180 1.25062 0.98045 0.95319 1.01057 1.70011 1.39077 1.00975 1.44590 0.86362 0.82085 0.77140 0.81545 1.21551 1.21978 1.20567 1.20683 0.92869 0.89150 0.91912 0.94627 1.21818 0.97575 0.99520 1.00643 1.22229 0.97017 1.02201 0.96204 1.22625 0.92551 0.84123 1.02485 1.87873 1.74713 1.25621 1.42322 1.22784 0.93481 0.96880 0.89292 1.21933 0.97287 0.94128 1.02923 0.88795 0.94219 0.94322 0.92927 0.92414 0.74119 0.92066 0.93340 0.93576 0.92906 0.96543 0.89393 0.93751 0.92051 0.91890 0.94632 0.89127 0.90341 0.88656 0.92900 0.89320 0.90269 0.90787 0.90160 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 0.04 0.40 11.01 101.05 1.11 1.52 16 2 O -0.38 -5.16 7.33 -35.23 -0.26 -5.42 16 3 C 0.07 0.87 4.81 37.15 0.18 1.05 16 4 C -0.08 -1.02 0.53 -155.47 -0.08 -1.10 16 5 C 0.52 8.36 5.11 -10.98 -0.06 8.30 16 6 O -0.56 -10.24 13.51 5.56 0.08 -10.16 16 7 N -0.68 -11.55 2.98 -53.69 -0.16 -11.71 16 8 C 0.13 2.37 2.33 -67.81 -0.16 2.21 16 9 H 0.07 1.32 7.58 -51.93 -0.39 0.92 16 10 C -0.12 -2.14 5.58 -26.69 -0.15 -2.29 16 11 C -0.14 -2.64 5.93 -26.61 -0.16 -2.80 16 12 C 0.17 3.87 5.29 -3.71 -0.02 3.85 16 13 N -0.58 -13.26 2.65 -164.78 -0.44 -13.70 16 14 C -0.25 -6.07 8.60 -15.05 -0.13 -6.20 16 15 H 0.07 1.68 6.21 -52.49 -0.33 1.36 16 16 C 0.00 0.10 4.96 -17.43 -0.09 0.01 16 17 N -0.90 -24.98 11.14 55.49 0.62 -24.36 16 18 Si 0.90 20.61 29.58 -169.99 -5.03 15.58 16 19 H -0.29 -6.65 7.11 56.52 0.40 -6.25 16 20 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 21 H -0.28 -6.21 7.11 56.52 0.40 -5.81 16 22 C 0.16 3.19 3.20 -67.60 -0.22 2.97 16 23 H 0.04 0.74 8.14 -51.93 -0.42 0.32 16 24 C -0.14 -2.51 7.73 37.15 0.29 -2.22 16 25 C -0.14 -1.77 4.68 -26.49 -0.12 -1.90 16 26 C 0.06 0.79 6.62 37.30 0.25 1.04 16 27 O -0.39 -5.44 10.77 -35.23 -0.38 -5.82 16 28 C 0.05 0.67 6.55 37.20 0.24 0.92 16 29 C -0.12 -1.46 4.56 -26.59 -0.12 -1.59 16 30 H 0.09 1.16 8.14 -51.93 -0.42 0.74 16 31 H 0.04 0.41 8.14 -51.93 -0.42 -0.01 16 32 H 0.04 0.37 8.14 -51.93 -0.42 -0.06 16 33 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 34 H 0.06 0.57 8.14 -51.93 -0.42 0.14 16 35 H 0.42 7.51 5.14 -40.82 -0.21 7.30 16 36 H 0.06 1.07 8.14 -51.93 -0.42 0.65 16 37 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 38 H 0.05 0.81 8.14 -51.93 -0.42 0.39 16 39 H 0.05 1.01 7.53 -51.93 -0.39 0.62 16 40 H 0.02 0.40 8.14 -51.93 -0.42 -0.02 16 41 H 0.09 2.25 6.06 -51.93 -0.31 1.93 16 42 H 0.25 6.86 8.31 -40.82 -0.34 6.52 16 43 H 0.06 1.19 7.62 -51.93 -0.40 0.80 16 44 H 0.06 1.14 6.11 -51.93 -0.32 0.82 16 45 H 0.03 0.57 8.14 -51.93 -0.42 0.15 16 46 H 0.09 1.28 7.16 -51.93 -0.37 0.91 16 47 H 0.08 0.90 8.14 -51.93 -0.42 0.47 16 48 H 0.10 1.13 8.14 -51.93 -0.42 0.71 16 49 H 0.05 0.80 7.38 -51.93 -0.38 0.42 16 50 H 0.09 0.96 8.14 -51.93 -0.42 0.54 16 51 H 0.08 1.21 5.81 -51.93 -0.30 0.91 16 52 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 53 H 0.08 0.93 8.02 -51.93 -0.42 0.51 16 LS Contribution 391.80 15.07 5.90 5.90 Total: -1.00 -28.34 391.80 -8.19 -36.53 By element: Atomic # 1 Polarization: 18.68 SS G_CDS: -9.30 Total: 9.38 kcal Atomic # 6 Polarization: 3.00 SS G_CDS: 0.77 Total: 3.77 kcal Atomic # 7 Polarization: -49.79 SS G_CDS: 0.02 Total: -49.77 kcal Atomic # 8 Polarization: -20.84 SS G_CDS: -0.56 Total: -21.40 kcal Atomic # 14 Polarization: 20.61 SS G_CDS: -5.03 Total: 15.58 kcal Total LS contribution 5.90 Total: 5.90 kcal Total: -28.34 -8.19 -36.53 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. ZINC001507372371.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 -75.500 kcal (2) G-P(sol) polarization free energy of solvation -28.338 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.839 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.192 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.531 kcal (6) G-S(sol) free energy of system = (1) + (5) -112.031 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.43 seconds