Wall clock time and date at job start Sat Apr 11 2020 06:11:24 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 C 1.52999 * 1 3 3 C 1.53003 * 109.47493 * 2 1 4 4 H 1.08999 * 109.47025 * 54.99779 * 3 2 1 5 5 C 1.52994 * 109.47314 * 174.99983 * 3 2 1 6 6 N 1.46496 * 109.47246 * 295.00363 * 3 2 1 7 7 C 1.34777 * 120.00249 * 154.99741 * 6 3 2 8 8 O 1.21284 * 119.99713 * 359.97438 * 7 6 3 9 9 C 1.50701 * 119.99975 * 180.02562 * 7 6 3 10 10 C 1.53007 * 109.46924 * 179.97438 * 9 7 6 11 11 N 1.46500 * 109.46896 * 179.97438 * 10 9 7 12 12 C 1.34777 * 119.99947 * 180.02562 * 11 10 9 13 13 O 1.21587 * 119.99456 * 354.92000 * 12 11 10 14 14 N 1.34773 * 120.00341 * 174.92371 * 12 11 10 15 15 C 1.47077 * 120.88281 * 184.71965 * 14 12 11 16 16 C 1.53695 * 108.27944 * 128.75043 * 15 14 12 17 17 N 1.46897 * 109.25645 * 54.08029 * 16 15 14 18 18 C 1.46898 * 111.00235 * 172.61106 * 17 16 15 19 19 C 1.50700 * 109.46909 * 294.30087 * 18 17 16 20 20 H 1.08006 * 120.00160 * 0.02562 * 19 18 17 21 21 C 1.37881 * 120.00319 * 179.97438 * 19 18 17 22 22 N 1.31509 * 119.99436 * 0.02562 * 21 19 18 23 23 Si 1.86795 * 119.99996 * 179.97438 * 21 19 18 24 24 H 1.48499 * 109.47512 * 0.02562 * 23 21 19 25 25 H 1.48504 * 109.46993 * 120.00276 * 23 21 19 26 26 H 1.48503 * 109.47086 * 240.00073 * 23 21 19 27 27 C 1.46901 * 111.26982 * 296.75923 * 17 16 15 28 28 C 1.47080 * 120.87650 * 4.98790 * 14 12 11 29 29 H 1.09003 * 109.47341 * 59.99407 * 1 2 3 30 30 H 1.08996 * 109.47172 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.46599 * 299.99949 * 1 2 3 32 32 H 1.09000 * 109.47057 * 240.00324 * 2 1 3 33 33 H 1.08993 * 109.47255 * 120.00424 * 2 1 3 34 34 H 1.08998 * 109.47480 * 300.00508 * 5 3 2 35 35 H 1.08998 * 109.46971 * 60.00405 * 5 3 2 36 36 H 1.09004 * 109.47289 * 179.97438 * 5 3 2 37 37 H 0.97002 * 119.99864 * 335.00162 * 6 3 2 38 38 H 1.08994 * 109.47363 * 299.99869 * 9 7 6 39 39 H 1.09001 * 109.47487 * 60.00263 * 9 7 6 40 40 H 1.08994 * 109.47195 * 300.00219 * 10 9 7 41 41 H 1.09001 * 109.46622 * 59.99980 * 10 9 7 42 42 H 0.96997 * 120.00344 * 0.02562 * 11 10 9 43 43 H 1.09003 * 109.62655 * 248.51740 * 15 14 12 44 44 H 1.09000 * 109.63070 * 9.09710 * 15 14 12 45 45 H 1.09001 * 109.64593 * 294.08302 * 16 15 14 46 46 H 1.09002 * 109.42443 * 173.94605 * 16 15 14 47 47 H 1.08994 * 109.47340 * 54.29800 * 18 17 16 48 48 H 1.08999 * 109.47487 * 174.30445 * 18 17 16 49 49 H 0.97006 * 119.99633 * 179.97438 * 22 21 19 50 50 H 1.08999 * 109.49130 * 303.14391 * 27 17 16 51 51 H 1.08999 * 109.49191 * 183.06713 * 27 17 16 52 52 H 1.08995 * 109.63299 * 350.90045 * 28 14 12 53 53 H 1.09006 * 109.62449 * 111.48306 * 28 14 12 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 6 2.0401 1.4425 0.0000 4 1 1.6055 1.9815 0.8418 5 6 3.5649 1.4443 0.1257 6 7 1.6525 2.0975 -1.2517 7 6 1.5257 3.4385 -1.2995 8 8 1.7321 4.1028 -0.3060 9 6 1.1265 4.1122 -2.5870 10 6 1.0547 5.6251 -2.3700 11 7 0.6671 6.2801 -3.6218 12 6 0.5405 7.6211 -3.6696 13 8 0.6570 8.2792 -2.6539 14 7 0.2846 8.2324 -4.8431 15 6 0.2446 9.6997 -4.9370 16 6 1.1578 10.1337 -6.0945 17 7 0.7613 9.4226 -7.3172 18 6 1.4914 9.9350 -8.4844 19 6 1.0855 11.3629 -8.7437 20 1 0.3581 11.8421 -8.1050 21 6 1.6433 12.0581 -9.7957 22 7 2.5292 11.4748 -10.5731 23 14 1.1395 13.8278 -10.1175 24 1 0.1344 14.2478 -9.1082 25 1 2.3325 14.7071 -10.0229 26 1 0.5515 13.9358 -11.4769 27 6 0.9479 7.9725 -7.1746 28 6 0.0321 7.4499 -6.0626 29 1 -0.3634 0.5139 -0.8899 30 1 -0.3633 -1.0276 0.0005 31 1 -0.3632 0.5138 0.8900 32 1 1.8933 -0.5138 -0.8900 33 1 1.8933 -0.5139 0.8899 34 1 3.8533 0.9569 1.0570 35 1 3.9994 0.9053 -0.7161 36 1 3.9283 2.4719 0.1253 37 1 1.4871 1.5661 -2.0462 38 1 1.8646 3.8900 -3.3575 39 1 0.1501 3.7441 -2.9022 40 1 0.3163 5.8470 -1.5996 41 1 2.0308 5.9936 -2.0546 42 1 0.5017 5.7488 -4.4163 43 1 -0.7772 10.0265 -5.1304 44 1 0.6012 10.1362 -4.0041 45 1 2.1935 9.8938 -5.8539 46 1 1.0596 11.2080 -6.2505 47 1 2.5631 9.8915 -8.2905 48 1 1.2550 9.3259 -9.3570 49 1 2.9214 11.9638 -11.3135 50 1 1.9865 7.7628 -6.9190 51 1 0.6974 7.4795 -8.1139 52 1 0.2483 6.3983 -5.8743 53 1 -1.0097 7.5646 -6.3621 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 ZINC000601564175.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 06:11:24 Heat of formation + Delta-G solvation = -65.158789 kcal Electronic energy + Delta-G solvation = -29518.546428 eV Core-core repulsion = 25425.051424 eV Total energy + Delta-G solvation = -4093.495005 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.74 seconds Orbital eigenvalues (eV) -40.46951 -40.03291 -37.70708 -36.99254 -35.20558 -34.37786 -32.93750 -32.41025 -31.33776 -30.54830 -29.90676 -28.07999 -25.60007 -24.74932 -23.91217 -23.02170 -22.11456 -21.41038 -20.88422 -20.71295 -19.31684 -17.93145 -17.52985 -16.69757 -16.40013 -16.26249 -15.95963 -15.33465 -14.92777 -14.65068 -14.59033 -14.45712 -14.37175 -14.05996 -13.93493 -13.86324 -13.69931 -13.63524 -13.44672 -12.91227 -12.70392 -12.34149 -12.26374 -12.10895 -11.97030 -11.87212 -11.72809 -11.62616 -11.29305 -11.22243 -11.13305 -10.84504 -10.73422 -10.59702 -10.50550 -10.25748 -9.95679 -9.84426 -9.53504 -9.26528 -9.13689 -8.48764 -8.31027 -7.32489 -6.06634 -4.08161 2.26237 2.47987 2.95228 3.29767 3.34119 3.37499 3.42345 3.90830 4.15111 4.34169 4.39298 4.45748 4.52178 4.58040 4.68436 4.78925 4.91541 5.01317 5.06502 5.09464 5.20885 5.25366 5.28506 5.35733 5.37522 5.41552 5.42806 5.58612 5.63861 5.66068 5.68292 5.77600 5.79473 5.84638 5.96197 6.05134 6.07798 6.18798 6.41426 6.43752 6.57523 6.69875 7.02847 7.07845 7.21714 7.28137 7.74612 7.82980 7.99866 8.02574 8.12404 8.47590 8.70734 8.99558 9.56599 11.04249 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.028130 B = 0.001626 C = 0.001599 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 995.129848 B =17218.762687 C =17509.791744 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C -0.131 4.131 3 C 0.139 3.861 4 H 0.089 0.911 5 C -0.165 4.165 6 N -0.727 5.727 7 C 0.519 3.481 8 O -0.531 6.531 9 C -0.154 4.154 10 C 0.155 3.845 11 N -0.753 5.753 12 C 0.708 3.292 13 O -0.592 6.592 14 N -0.625 5.625 15 C 0.133 3.867 16 C 0.051 3.949 17 N -0.535 5.535 18 C 0.193 3.807 19 C -0.509 4.509 20 H 0.065 0.935 21 C 0.055 3.945 22 N -0.898 5.898 23 Si 0.898 3.102 24 H -0.271 1.271 25 H -0.285 1.285 26 H -0.284 1.284 27 C 0.040 3.960 28 C 0.119 3.881 29 H 0.055 0.945 30 H 0.056 0.944 31 H 0.056 0.944 32 H 0.068 0.932 33 H 0.078 0.922 34 H 0.065 0.935 35 H 0.056 0.944 36 H 0.062 0.938 37 H 0.400 0.600 38 H 0.101 0.899 39 H 0.100 0.900 40 H 0.074 0.926 41 H 0.072 0.928 42 H 0.394 0.606 43 H 0.070 0.930 44 H 0.088 0.912 45 H 0.025 0.975 46 H 0.097 0.903 47 H -0.009 1.009 48 H 0.031 0.969 49 H 0.261 0.739 50 H 0.026 0.974 51 H 0.080 0.920 52 H 0.068 0.932 53 H 0.075 0.925 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.091 -26.071 16.732 31.133 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 -0.211 4.211 2 C -0.169 4.169 3 C 0.035 3.965 4 H 0.107 0.893 5 C -0.223 4.223 6 N -0.380 5.380 7 C 0.305 3.695 8 O -0.407 6.407 9 C -0.195 4.195 10 C 0.030 3.970 11 N -0.412 5.412 12 C 0.409 3.591 13 O -0.470 6.470 14 N -0.363 5.363 15 C 0.010 3.990 16 C -0.079 4.079 17 N -0.260 5.260 18 C 0.068 3.932 19 C -0.547 4.547 20 H 0.083 0.917 21 C -0.146 4.146 22 N -0.538 5.538 23 Si 0.726 3.274 24 H -0.196 1.196 25 H -0.211 1.211 26 H -0.210 1.210 27 C -0.089 4.089 28 C -0.005 4.005 29 H 0.075 0.925 30 H 0.075 0.925 31 H 0.075 0.925 32 H 0.086 0.914 33 H 0.097 0.903 34 H 0.084 0.916 35 H 0.075 0.925 36 H 0.081 0.919 37 H 0.234 0.766 38 H 0.119 0.881 39 H 0.119 0.881 40 H 0.092 0.908 41 H 0.091 0.909 42 H 0.230 0.770 43 H 0.089 0.911 44 H 0.107 0.893 45 H 0.043 0.957 46 H 0.115 0.885 47 H 0.009 0.991 48 H 0.049 0.951 49 H 0.070 0.930 50 H 0.044 0.956 51 H 0.098 0.902 52 H 0.087 0.913 53 H 0.094 0.906 Dipole moment (debyes) X Y Z Total from point charges -3.219 -24.965 17.992 30.940 hybrid contribution 0.618 0.084 -1.187 1.341 sum -2.601 -24.882 16.805 30.137 Atomic orbital electron populations 1.21781 0.95213 1.01797 1.02324 1.21840 0.96633 0.95318 1.03135 1.21022 0.95022 0.93035 0.87458 0.89304 1.22188 0.95260 1.02849 1.02043 1.46094 1.71212 1.06935 1.13750 1.20395 0.76723 0.82186 0.90182 1.90765 1.49347 1.63905 1.36676 1.21827 1.04333 0.96589 0.96722 1.20780 1.02076 0.88473 0.85655 1.45212 1.76328 1.05894 1.13779 1.15780 0.77963 0.81627 0.83723 1.90910 1.58784 1.64294 1.33044 1.47413 1.74120 1.07765 1.06985 1.21836 1.00654 0.77193 0.99293 1.22459 0.95442 1.00769 0.89189 1.62075 1.58925 1.00607 1.04367 1.19732 0.91096 0.95839 0.86505 1.21191 1.23826 0.96602 1.13097 0.91679 1.24992 0.95061 0.98560 0.95987 1.69967 1.28785 1.37082 1.17950 0.86434 0.78359 0.84444 0.78150 1.19576 1.21125 1.21031 1.22384 0.96750 0.92059 0.97751 1.21759 1.00611 0.93512 0.84592 0.92547 0.92483 0.92513 0.91360 0.90339 0.91602 0.92456 0.91883 0.76602 0.88090 0.88136 0.90775 0.90938 0.77000 0.91135 0.89338 0.95725 0.88473 0.99118 0.95067 0.92962 0.95560 0.90158 0.91343 0.90633 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 -0.59 9.80 37.16 0.36 -0.23 16 2 C -0.13 -0.46 5.47 -26.73 -0.15 -0.60 16 3 C 0.14 0.79 2.57 -67.93 -0.17 0.61 16 4 H 0.09 0.69 7.58 -51.93 -0.39 0.30 16 5 C -0.17 -0.96 9.48 37.15 0.35 -0.60 16 6 N -0.73 -3.89 4.53 -53.81 -0.24 -4.13 16 7 C 0.52 4.34 7.79 -10.98 -0.09 4.25 16 8 O -0.53 -6.89 15.64 5.55 0.09 -6.80 16 9 C -0.15 -0.97 5.81 -27.88 -0.16 -1.13 16 10 C 0.15 1.68 4.97 -4.04 -0.02 1.66 16 11 N -0.75 -8.59 5.47 -65.22 -0.36 -8.95 16 12 C 0.71 11.28 8.31 -86.92 -0.72 10.56 16 13 O -0.59 -11.80 15.83 5.29 0.08 -11.71 16 14 N -0.63 -9.65 3.00 -177.91 -0.53 -10.19 16 15 C 0.13 2.24 6.61 -3.37 -0.02 2.22 16 16 C 0.05 0.98 5.47 -3.46 -0.02 0.96 16 17 N -0.53 -10.96 4.62 -235.47 -1.09 -12.05 16 18 C 0.19 4.87 4.72 -4.98 -0.02 4.84 16 19 C -0.51 -13.91 8.41 -34.44 -0.29 -14.19 16 20 H 0.07 1.76 7.13 -52.48 -0.37 1.38 16 21 C 0.06 1.54 5.46 -17.82 -0.10 1.45 16 22 N -0.90 -26.25 13.29 55.43 0.74 -25.52 16 23 Si 0.90 21.35 29.54 -169.99 -5.02 16.32 16 24 H -0.27 -6.32 7.11 56.52 0.40 -5.92 16 25 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 26 H -0.28 -6.71 7.11 56.52 0.40 -6.31 16 27 C 0.04 0.66 5.62 -3.70 -0.02 0.64 16 28 C 0.12 1.54 6.59 -3.60 -0.02 1.51 16 29 H 0.06 0.22 7.75 -51.93 -0.40 -0.19 16 30 H 0.06 0.18 8.14 -51.93 -0.42 -0.24 16 31 H 0.06 0.27 8.14 -51.93 -0.42 -0.16 16 32 H 0.07 0.18 8.14 -51.93 -0.42 -0.24 16 33 H 0.08 0.24 8.14 -51.93 -0.42 -0.19 16 34 H 0.07 0.31 8.14 -51.93 -0.42 -0.11 16 35 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 36 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 37 H 0.40 1.04 8.60 -40.82 -0.35 0.69 16 38 H 0.10 0.44 8.14 -51.93 -0.42 0.02 16 39 H 0.10 0.40 8.14 -51.93 -0.42 -0.02 16 40 H 0.07 0.95 8.10 -51.93 -0.42 0.53 16 41 H 0.07 0.95 8.10 -51.93 -0.42 0.53 16 42 H 0.39 3.28 5.97 -40.82 -0.24 3.04 16 43 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 44 H 0.09 1.53 7.09 -51.93 -0.37 1.16 16 45 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.10 2.00 6.67 -51.93 -0.35 1.66 16 47 H -0.01 -0.25 8.12 -51.93 -0.42 -0.67 16 48 H 0.03 0.83 7.97 -51.93 -0.41 0.42 16 49 H 0.26 7.21 8.31 -40.82 -0.34 6.87 16 50 H 0.03 0.45 8.14 -51.93 -0.42 0.02 16 51 H 0.08 1.24 7.99 -51.93 -0.41 0.82 16 52 H 0.07 0.63 5.63 -51.93 -0.29 0.34 16 53 H 0.08 0.96 8.14 -51.93 -0.42 0.53 16 LS Contribution 421.20 15.07 6.35 6.35 Total: -1.00 -35.49 421.20 -10.57 -46.06 By element: Atomic # 1 Polarization: 8.17 SS G_CDS: -9.49 Total: -1.33 kcal Atomic # 6 Polarization: 13.04 SS G_CDS: -1.09 Total: 11.95 kcal Atomic # 7 Polarization: -59.35 SS G_CDS: -1.49 Total: -60.83 kcal Atomic # 8 Polarization: -18.69 SS G_CDS: 0.17 Total: -18.52 kcal Atomic # 14 Polarization: 21.35 SS G_CDS: -5.02 Total: 16.32 kcal Total LS contribution 6.35 Total: 6.35 kcal Total: -35.49 -10.57 -46.06 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. ZINC000601564175.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 -19.099 kcal (2) G-P(sol) polarization free energy of solvation -35.485 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -54.584 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.574 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -46.060 kcal (6) G-S(sol) free energy of system = (1) + (5) -65.159 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.74 seconds