Wall clock time and date at job start Sat Apr 11 2020 06:12:09 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 1.42902 * 1 3 3 C 1.42903 * 114.00186 * 2 1 4 4 C 1.53002 * 109.47015 * 180.02562 * 3 2 1 5 5 C 1.50695 * 109.61651 * 300.22581 * 4 3 2 6 6 O 1.21288 * 120.00009 * 239.78270 * 5 4 3 7 7 N 1.34779 * 120.00439 * 59.77752 * 5 4 3 8 8 C 1.46493 * 120.00224 * 180.02562 * 7 5 4 9 9 H 1.09002 * 110.01940 * 325.69485 * 8 7 5 10 10 C 1.54259 * 110.03677 * 87.09229 * 8 7 5 11 11 C 1.54883 * 104.20045 * 142.89348 * 10 8 7 12 12 C 1.54892 * 102.74825 * 322.05824 * 11 10 8 13 13 H 1.09000 * 110.48715 * 279.12751 * 12 11 10 14 14 C 1.53005 * 110.48720 * 156.62010 * 12 11 10 15 15 N 1.46495 * 109.47198 * 66.45401 * 14 12 11 16 16 C 1.36940 * 120.00012 * 179.97438 * 15 14 12 17 17 H 1.08001 * 119.99477 * 0.02562 * 16 15 14 18 18 C 1.38803 * 120.00129 * 180.02562 * 16 15 14 19 19 N 1.31622 * 120.00224 * 0.02562 * 18 16 15 20 20 Si 1.86800 * 120.00098 * 179.97438 * 18 16 15 21 21 H 1.48500 * 109.47038 * 0.02562 * 20 18 16 22 22 H 1.48502 * 109.46896 * 120.00050 * 20 18 16 23 23 H 1.48500 * 109.47502 * 239.99984 * 20 18 16 24 24 C 1.53878 * 110.03038 * 204.31035 * 8 7 5 25 25 C 1.53176 * 109.53933 * 180.02562 * 4 3 2 26 26 C 1.53091 * 109.21206 * 183.12122 * 25 4 3 27 27 O 1.43035 * 109.34424 * 57.57779 * 26 25 4 28 28 C 1.42902 * 114.13534 * 298.88074 * 27 26 25 29 29 C 1.53097 * 109.41493 * 61.15611 * 28 27 26 30 30 H 1.08997 * 109.47068 * 59.99109 * 1 2 3 31 31 H 1.08991 * 109.47353 * 179.97438 * 1 2 3 32 32 H 1.08999 * 109.46956 * 299.99632 * 1 2 3 33 33 H 1.09002 * 109.46490 * 60.00588 * 3 2 1 34 34 H 1.08998 * 109.47181 * 300.00899 * 3 2 1 35 35 H 0.97003 * 119.99720 * 359.97438 * 7 5 4 36 36 H 1.09000 * 110.49046 * 261.57710 * 10 8 7 37 37 H 1.09004 * 110.48980 * 24.08280 * 10 8 7 38 38 H 1.08999 * 110.76185 * 80.37174 * 11 10 8 39 39 H 1.08997 * 110.76427 * 203.56179 * 11 10 8 40 40 H 1.09003 * 109.46974 * 186.45794 * 14 12 11 41 41 H 1.09001 * 109.46682 * 306.45259 * 14 12 11 42 42 H 0.97003 * 119.99793 * 0.02562 * 15 14 12 43 43 H 0.96995 * 120.00013 * 179.97438 * 19 18 16 44 44 H 1.09000 * 110.03500 * 0.02562 * 24 8 7 45 45 H 1.09001 * 110.03307 * 121.43238 * 24 8 7 46 46 H 1.09002 * 109.52410 * 303.05964 * 25 4 3 47 47 H 1.09004 * 109.52533 * 63.18610 * 25 4 3 48 48 H 1.09007 * 109.48127 * 177.62276 * 26 25 4 49 49 H 1.09000 * 109.48171 * 297.66002 * 26 25 4 50 50 H 1.08997 * 109.47976 * 301.17973 * 28 27 26 51 51 H 1.08996 * 109.49557 * 181.14748 * 28 27 26 52 52 H 1.08995 * 109.52587 * 182.48591 * 29 28 27 53 53 H 1.09004 * 109.57034 * 62.33092 * 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 3.5355 1.1846 -0.0006 5 6 3.9839 0.4320 1.2255 6 8 4.7299 0.9607 2.0225 7 7 3.5560 -0.8284 1.4368 8 6 3.9914 -1.5597 2.6291 9 1 5.0129 -1.2796 2.8863 10 6 3.0467 -1.2556 3.8100 11 6 2.9371 -2.6031 4.5657 12 6 2.9139 -3.6395 3.4148 13 1 1.9137 -3.7129 2.9877 14 6 3.3822 -5.0071 3.9162 15 7 2.4096 -5.5345 4.8763 16 6 2.6181 -6.7547 5.4621 17 1 3.4999 -7.3279 5.2164 18 6 1.6963 -7.2546 6.3714 19 7 0.6215 -6.5563 6.6704 20 14 1.9805 -8.9193 7.1698 21 1 3.2527 -9.4982 6.6682 22 1 2.0593 -8.7544 8.6436 23 1 0.8557 -9.8284 6.8330 24 6 3.9082 -3.0755 2.3773 25 6 4.1603 2.5831 0.0000 26 6 5.6837 2.4544 -0.0794 27 8 6.0365 1.7197 -1.2548 28 6 5.5195 0.3879 -1.2886 29 6 3.9896 0.4350 -1.2569 30 1 -0.3633 0.5140 -0.8899 31 1 -0.3633 -1.0276 -0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.6887 1.8463 0.8901 34 1 1.6886 1.8465 -0.8899 35 1 2.9590 -1.2511 0.7996 36 1 3.4772 -0.4901 4.4556 37 1 2.0692 -0.9400 3.4452 38 1 3.8045 -2.7579 5.2074 39 1 2.0161 -2.6465 5.1469 40 1 3.4693 -5.6928 3.0733 41 1 4.3526 -4.9032 4.4017 42 1 1.6175 -5.0198 5.0966 43 1 -0.0228 -6.9059 7.3056 44 1 3.5443 -3.2670 1.3679 45 1 4.8891 -3.5310 2.5133 46 1 3.7969 3.1449 -0.8605 47 1 3.8861 3.1042 0.9173 48 1 6.1308 3.4477 -0.1218 49 1 6.0504 1.9278 0.8017 50 1 5.8840 -0.1656 -0.4233 51 1 5.8490 -0.1071 -2.2021 52 1 3.5941 -0.5805 -1.2381 53 1 3.6218 0.9528 -2.1429 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 ZINC001486201987.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 06:12:09 Heat of formation + Delta-G solvation = -133.051716 kcal Electronic energy + Delta-G solvation = -31558.710507 eV Core-core repulsion = 27429.978693 eV Total energy + Delta-G solvation = -4128.731814 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.72 seconds Orbital eigenvalues (eV) -41.25191 -38.94368 -38.13232 -37.64359 -34.80869 -34.50542 -33.27897 -31.42033 -30.93473 -28.76290 -28.65320 -27.64304 -26.37432 -24.56052 -23.89945 -23.54071 -22.30994 -22.16599 -20.23898 -19.75992 -19.47409 -17.17699 -17.01803 -16.87249 -16.82826 -16.26237 -16.10115 -15.84208 -15.36375 -14.97737 -14.87260 -14.60193 -14.45097 -14.17025 -13.78941 -13.76139 -13.39234 -12.99986 -12.81589 -12.77815 -12.63539 -12.53072 -12.33129 -12.09095 -11.88806 -11.66593 -11.58372 -11.27635 -11.04720 -10.99726 -10.84964 -10.78981 -10.62637 -10.51072 -10.24587 -10.18961 -10.16468 -9.93522 -9.89534 -9.65206 -9.51422 -8.93682 -8.84273 -6.87994 -5.74297 -3.02131 2.47756 3.06492 3.25132 3.44462 3.50152 3.52353 3.63741 4.16446 4.25701 4.43388 4.60224 4.63609 4.68754 4.80614 4.84882 4.88438 4.89116 4.98554 5.03229 5.08357 5.11948 5.25023 5.27572 5.31640 5.39869 5.43750 5.50540 5.56633 5.59943 5.65712 5.67833 5.70413 5.71646 5.73457 5.84562 5.94010 5.97553 6.14854 6.25504 6.29571 6.35285 6.59349 6.62339 6.64144 6.68424 6.84022 6.94217 6.98380 7.54620 7.72815 8.20182 8.45203 9.56289 10.15629 10.50325 11.48876 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020089 B = 0.002292 C = 0.002196 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1393.455087 B =12211.232474 C =12748.258102 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.034 3.966 2 O -0.391 6.391 3 C 0.075 3.925 4 C -0.079 4.079 5 C 0.524 3.476 6 O -0.544 6.544 7 N -0.706 5.706 8 C 0.139 3.861 9 H 0.087 0.913 10 C -0.131 4.131 11 C -0.110 4.110 12 C -0.095 4.095 13 H 0.074 0.926 14 C 0.160 3.840 15 N -0.732 5.732 16 C -0.236 4.236 17 H 0.070 0.930 18 C -0.016 4.016 19 N -0.934 5.934 20 Si 0.906 3.094 21 H -0.281 1.281 22 H -0.292 1.292 23 H -0.292 1.292 24 C -0.121 4.121 25 C -0.127 4.127 26 C 0.051 3.949 27 O -0.385 6.385 28 C 0.058 3.942 29 C -0.138 4.138 30 H 0.042 0.958 31 H 0.091 0.909 32 H 0.043 0.957 33 H 0.056 0.944 34 H 0.062 0.938 35 H 0.407 0.593 36 H 0.064 0.936 37 H 0.065 0.935 38 H 0.069 0.931 39 H 0.071 0.929 40 H 0.016 0.984 41 H 0.019 0.981 42 H 0.384 0.616 43 H 0.254 0.746 44 H 0.067 0.933 45 H 0.075 0.925 46 H 0.077 0.923 47 H 0.082 0.918 48 H 0.093 0.907 49 H 0.079 0.921 50 H 0.051 0.949 51 H 0.097 0.903 52 H 0.086 0.914 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.647 20.418 -19.097 28.194 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 -0.062 4.062 2 O -0.310 6.310 3 C -0.002 4.002 4 C -0.082 4.082 5 C 0.310 3.690 6 O -0.422 6.422 7 N -0.359 5.359 8 C 0.035 3.965 9 H 0.105 0.895 10 C -0.170 4.170 11 C -0.148 4.148 12 C -0.114 4.114 13 H 0.092 0.908 14 C 0.032 3.968 15 N -0.376 5.376 16 C -0.367 4.367 17 H 0.088 0.912 18 C -0.212 4.212 19 N -0.584 5.584 20 Si 0.737 3.263 21 H -0.206 1.206 22 H -0.219 1.219 23 H -0.219 1.219 24 C -0.160 4.160 25 C -0.165 4.165 26 C -0.025 4.025 27 O -0.303 6.303 28 C -0.019 4.019 29 C -0.176 4.176 30 H 0.061 0.939 31 H 0.110 0.890 32 H 0.062 0.938 33 H 0.075 0.925 34 H 0.080 0.920 35 H 0.246 0.754 36 H 0.082 0.918 37 H 0.084 0.916 38 H 0.088 0.912 39 H 0.090 0.910 40 H 0.034 0.966 41 H 0.037 0.963 42 H 0.217 0.783 43 H 0.064 0.936 44 H 0.086 0.914 45 H 0.094 0.906 46 H 0.096 0.904 47 H 0.101 0.899 48 H 0.111 0.889 49 H 0.097 0.903 50 H 0.069 0.931 51 H 0.115 0.885 52 H 0.104 0.896 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges 4.484 20.515 -18.635 28.075 hybrid contribution -1.076 -0.849 0.513 1.464 sum 3.408 19.666 -18.121 26.958 Atomic orbital electron populations 1.22773 0.79947 1.03421 1.00088 1.87699 1.20535 1.27311 1.95439 1.22485 0.91036 0.85439 1.01265 1.20973 0.94921 0.97301 0.95007 1.20202 0.80251 0.82096 0.86490 1.90646 1.36505 1.67945 1.47122 1.46346 1.49592 1.14294 1.25623 1.21710 0.98993 0.91225 0.84565 0.89515 1.22760 0.99256 0.98372 0.96578 1.22443 1.02752 0.92457 0.97150 1.22144 0.98664 0.95709 0.94890 0.90786 1.20697 0.92977 0.90942 0.92156 1.42359 1.24825 1.20917 1.49488 1.19289 1.04774 0.94747 1.17909 0.91214 1.24731 0.97219 0.98803 1.00425 1.69670 1.12289 1.38241 1.38153 0.86126 0.77215 0.83878 0.79052 1.20587 1.21910 1.21926 1.22435 1.00865 0.93124 0.99576 1.21970 0.97329 0.93853 1.03379 1.22840 0.93391 0.97269 0.89033 1.87922 1.74715 1.25524 1.42175 1.22594 0.92332 0.84519 1.02458 1.22207 0.97230 1.01820 0.96377 0.93946 0.89017 0.93814 0.92532 0.91962 0.75449 0.91753 0.91594 0.91237 0.91011 0.96579 0.96304 0.78277 0.93640 0.91444 0.90625 0.90441 0.89898 0.88897 0.90273 0.93108 0.88477 0.89574 0.89973 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 0.03 0.22 11.01 101.05 1.11 1.33 16 2 O -0.39 -3.14 7.61 -35.23 -0.27 -3.41 16 3 C 0.07 0.56 4.81 37.16 0.18 0.73 16 4 C -0.08 -0.68 0.53 -155.48 -0.08 -0.76 16 5 C 0.52 6.06 5.14 -10.99 -0.06 6.00 16 6 O -0.54 -7.94 13.50 5.55 0.07 -7.87 16 7 N -0.71 -7.78 4.57 -52.73 -0.24 -8.02 16 8 C 0.14 1.75 3.23 -66.82 -0.22 1.54 16 9 H 0.09 1.19 7.59 -51.93 -0.39 0.80 16 10 C -0.13 -1.78 6.53 -25.08 -0.16 -1.94 16 11 C -0.11 -1.73 6.01 -24.74 -0.15 -1.88 16 12 C -0.10 -1.51 2.93 -88.90 -0.26 -1.77 16 13 H 0.07 1.21 8.14 -51.93 -0.42 0.79 16 14 C 0.16 3.21 5.55 -4.04 -0.02 3.19 16 15 N -0.73 -18.61 5.44 -59.91 -0.33 -18.93 16 16 C -0.24 -6.67 9.99 -15.06 -0.15 -6.82 16 17 H 0.07 1.92 7.83 -52.49 -0.41 1.51 16 18 C -0.02 -0.47 5.50 -17.43 -0.10 -0.56 16 19 N -0.93 -28.44 13.06 55.49 0.72 -27.71 16 20 Si 0.91 22.60 29.55 -169.99 -5.02 17.57 16 21 H -0.28 -6.78 7.11 56.52 0.40 -6.38 16 22 H -0.29 -7.31 7.11 56.52 0.40 -6.91 16 23 H -0.29 -7.30 7.11 56.52 0.40 -6.90 16 24 C -0.12 -1.54 6.15 -25.55 -0.16 -1.69 16 25 C -0.13 -1.06 4.56 -26.59 -0.12 -1.18 16 26 C 0.05 0.50 6.57 37.20 0.24 0.74 16 27 O -0.38 -4.07 10.77 -35.23 -0.38 -4.45 16 28 C 0.06 0.52 6.62 37.21 0.25 0.76 16 29 C -0.14 -1.06 4.67 -26.59 -0.12 -1.19 16 30 H 0.04 0.21 8.14 -51.93 -0.42 -0.21 16 31 H 0.09 0.55 8.14 -51.93 -0.42 0.13 16 32 H 0.04 0.28 8.14 -51.93 -0.42 -0.15 16 33 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 34 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 35 H 0.41 4.08 5.68 -40.82 -0.23 3.84 16 36 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 37 H 0.07 0.89 8.05 -51.93 -0.42 0.47 16 38 H 0.07 1.15 8.02 -51.93 -0.42 0.74 16 39 H 0.07 1.23 8.14 -51.93 -0.42 0.81 16 40 H 0.02 0.33 8.14 -51.93 -0.42 -0.09 16 41 H 0.02 0.39 8.10 -51.93 -0.42 -0.03 16 42 H 0.38 10.21 7.52 -40.82 -0.31 9.90 16 43 H 0.25 7.45 8.31 -40.82 -0.34 7.11 16 44 H 0.07 0.76 7.61 -51.93 -0.40 0.37 16 45 H 0.08 0.95 7.84 -51.93 -0.41 0.54 16 46 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 47 H 0.08 0.71 8.03 -51.93 -0.42 0.29 16 48 H 0.09 0.75 8.14 -51.92 -0.42 0.33 16 49 H 0.08 0.94 5.80 -51.93 -0.30 0.64 16 50 H 0.05 0.52 7.38 -51.93 -0.38 0.13 16 51 H 0.10 0.70 8.14 -51.93 -0.42 0.28 16 52 H 0.09 0.63 7.19 -51.93 -0.37 0.26 16 53 H 0.08 0.56 8.14 -51.93 -0.42 0.13 16 LS Contribution 406.39 15.07 6.12 6.12 Total: -1.00 -32.65 406.39 -8.64 -41.29 By element: Atomic # 1 Polarization: 18.44 SS G_CDS: -9.51 Total: 8.93 kcal Atomic # 6 Polarization: -3.70 SS G_CDS: 0.18 Total: -3.52 kcal Atomic # 7 Polarization: -54.83 SS G_CDS: 0.16 Total: -54.67 kcal Atomic # 8 Polarization: -15.16 SS G_CDS: -0.57 Total: -15.73 kcal Atomic # 14 Polarization: 22.60 SS G_CDS: -5.02 Total: 17.57 kcal Total LS contribution 6.12 Total: 6.12 kcal Total: -32.65 -8.64 -41.29 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. ZINC001486201987.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 -91.763 kcal (2) G-P(sol) polarization free energy of solvation -32.651 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -124.414 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.638 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.289 kcal (6) G-S(sol) free energy of system = (1) + (5) -133.052 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.72 seconds