Wall clock time and date at job start Sat Apr 11 2020 06:09:58 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 1.53002 * 1 3 3 C 1.53005 * 109.46737 * 2 1 4 4 C 1.53004 * 109.47176 * 240.00487 * 2 1 3 5 5 O 1.45194 * 109.47345 * 120.00186 * 2 1 3 6 6 C 1.34637 * 117.00067 * 59.99605 * 5 2 1 7 7 O 1.21518 * 119.99830 * 0.02562 * 6 5 2 8 8 N 1.34768 * 120.00228 * 179.97438 * 6 5 2 9 9 C 1.46504 * 120.00182 * 180.02562 * 8 6 5 10 10 H 1.08997 * 112.86407 * 351.52778 * 9 8 6 11 11 C 1.53873 * 113.63886 * 220.25629 * 9 8 6 12 12 C 1.54149 * 87.06122 * 220.35965 * 11 9 8 13 13 H 1.08999 * 113.71438 * 270.56901 * 12 11 9 14 14 N 1.46894 * 113.64348 * 139.60605 * 12 11 9 15 15 C 1.46901 * 111.00219 * 107.63836 * 14 12 11 16 16 C 1.50698 * 109.46820 * 180.02562 * 15 14 12 17 17 H 1.07998 * 120.00567 * 0.02562 * 16 15 14 18 18 C 1.37879 * 119.99604 * 180.02562 * 16 15 14 19 19 N 1.31512 * 120.00181 * 179.97438 * 18 16 15 20 20 Si 1.86802 * 120.00147 * 0.02562 * 18 16 15 21 21 H 1.48505 * 109.46946 * 89.99765 * 20 18 16 22 22 H 1.48498 * 109.47128 * 209.99729 * 20 18 16 23 23 H 1.48503 * 109.47095 * 330.00123 * 20 18 16 24 24 C 1.53306 * 86.94465 * 25.08928 * 12 11 9 25 25 C 1.52833 * 113.64048 * 89.60120 * 24 12 11 26 26 C 1.53267 * 108.88367 * 184.13269 * 25 24 12 27 27 O 1.42895 * 109.32226 * 304.68907 * 26 25 24 28 28 C 1.42896 * 114.35897 * 63.00048 * 27 26 25 29 29 C 1.52826 * 113.64394 * 220.05611 * 24 12 11 30 30 H 1.08994 * 109.47264 * 300.00012 * 1 2 3 31 31 H 1.09001 * 109.47114 * 59.99709 * 1 2 3 32 32 H 1.09000 * 109.47090 * 180.02562 * 1 2 3 33 33 H 1.09007 * 109.46492 * 180.02562 * 3 2 1 34 34 H 1.08994 * 109.47220 * 299.99962 * 3 2 1 35 35 H 1.08996 * 109.47021 * 60.00720 * 3 2 1 36 36 H 1.09000 * 109.46696 * 299.99734 * 4 2 1 37 37 H 1.09001 * 109.47259 * 59.99893 * 4 2 1 38 38 H 1.09000 * 109.47055 * 180.02562 * 4 2 1 39 39 H 0.97003 * 120.00119 * 0.02562 * 8 6 5 40 40 H 1.08998 * 113.59859 * 334.87765 * 11 9 8 41 41 H 1.08997 * 113.59930 * 105.74431 * 11 9 8 42 42 H 1.00896 * 111.00252 * 231.60039 * 14 12 11 43 43 H 1.08997 * 109.46991 * 300.00357 * 15 14 12 44 44 H 1.08993 * 109.46473 * 60.00482 * 15 14 12 45 45 H 0.97001 * 120.00634 * 180.02562 * 19 18 16 46 46 H 1.09000 * 109.56421 * 303.94969 * 25 24 12 47 47 H 1.08994 * 109.57136 * 64.30818 * 25 24 12 48 48 H 1.08998 * 109.49116 * 184.73543 * 26 25 24 49 49 H 1.08996 * 109.49597 * 64.64693 * 26 25 24 50 50 H 1.09007 * 109.49600 * 177.04235 * 28 27 26 51 51 H 1.08997 * 109.52302 * 56.96938 * 28 27 26 52 52 H 1.09006 * 109.56937 * 295.69329 * 29 24 12 53 53 H 1.08997 * 109.57042 * 56.04803 * 29 24 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 2.0399 1.4426 0.0000 4 6 2.0400 -0.7212 -1.2493 5 8 2.0141 -0.6845 1.1855 6 6 1.6523 -1.9723 1.3383 7 8 0.9515 -2.5097 0.5035 8 7 2.0681 -2.6657 2.4165 9 6 1.6749 -4.0672 2.5824 10 1 0.9325 -4.3882 1.8517 11 6 1.3155 -4.4397 4.0315 12 6 2.0607 -5.7675 3.7910 13 1 1.4264 -6.5608 3.3954 14 7 2.8726 -6.2031 4.9351 15 6 2.2592 -7.3562 5.6074 16 6 3.1181 -7.7731 6.7734 17 1 4.0283 -7.2351 6.9933 18 6 2.7417 -8.8415 7.5595 19 7 3.4915 -9.2057 8.5767 20 14 1.1677 -9.7726 7.1788 21 1 1.4654 -10.8859 6.2421 22 1 0.6010 -10.3221 8.4366 23 1 0.1855 -8.8501 6.5547 24 6 2.8628 -5.0275 2.7143 25 6 4.1322 -4.3619 3.2448 26 6 4.7904 -3.5722 2.1080 27 8 5.0206 -4.4431 0.9988 28 6 3.8327 -4.9884 0.4212 29 6 3.1184 -5.8610 1.4591 30 1 -0.3633 0.5138 0.8899 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3633 -1.0277 0.0005 33 1 3.1300 1.4425 -0.0005 34 1 1.6766 1.9564 -0.8899 35 1 1.6767 1.9563 0.8900 36 1 1.6767 -1.7488 -1.2493 37 1 1.6767 -0.2073 -2.1393 38 1 3.1300 -0.7215 -1.2491 39 1 2.6277 -2.2369 3.0827 40 1 1.7905 -3.8016 4.7767 41 1 0.2453 -4.5622 4.1980 42 1 3.8176 -6.4116 4.6495 43 1 1.2674 -7.0818 5.9669 44 1 2.1745 -8.1841 4.9037 45 1 3.2270 -9.9576 9.1296 46 1 3.8761 -3.6845 4.0593 47 1 4.8213 -5.1254 3.6056 48 1 5.7401 -3.1626 2.4521 49 1 4.1326 -2.7589 1.8017 50 1 4.0951 -5.5951 -0.4456 51 1 3.1731 -4.1778 0.1115 52 1 3.7453 -6.7166 1.7104 53 1 2.1689 -6.2090 1.0523 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 ZINC000894082439.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 06:09:58 Heat of formation + Delta-G solvation = -106.270660 kcal Electronic energy + Delta-G solvation = -32212.364910 eV Core-core repulsion = 28084.794409 eV Total energy + Delta-G solvation = -4127.570500 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.04 seconds Orbital eigenvalues (eV) -41.46323 -40.42654 -37.73050 -37.12466 -34.82609 -34.26530 -33.14728 -31.94889 -31.13617 -30.74703 -27.70212 -27.64683 -27.21990 -24.57873 -24.17558 -23.71998 -21.94975 -21.22452 -20.84239 -20.32538 -18.84927 -17.93534 -17.07777 -16.73128 -16.30239 -16.15325 -16.00565 -15.63364 -15.04487 -14.93061 -14.73715 -14.56127 -14.37276 -13.96126 -13.82832 -13.43421 -13.35028 -13.12465 -12.80298 -12.59932 -12.46712 -12.28110 -12.18618 -12.17852 -12.09371 -11.86691 -11.69390 -11.56917 -11.53156 -11.26775 -11.19671 -10.98363 -10.81129 -10.61322 -10.48668 -10.35902 -10.20178 -10.15412 -9.79959 -9.35326 -9.26995 -8.95201 -8.63142 -7.57692 -6.08839 -4.07060 2.02115 2.68122 3.25992 3.34015 3.35983 3.88255 3.96008 4.36373 4.39126 4.42960 4.46697 4.51303 4.61581 4.62348 4.90035 4.99378 5.01810 5.11677 5.16964 5.19670 5.24582 5.24749 5.31498 5.38584 5.39497 5.44952 5.47200 5.53440 5.57536 5.61688 5.65841 5.69305 5.71958 5.89814 5.91231 5.98192 6.01567 6.07921 6.09083 6.12320 6.21574 6.35240 6.40859 6.52902 6.75776 6.96502 7.20840 7.31035 7.57989 7.85083 8.24139 8.25413 8.60547 8.98847 9.53012 11.04386 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.019318 B = 0.002724 C = 0.002591 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1449.049948 B =10276.106957 C =10803.217890 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.183 4.183 2 C 0.137 3.863 3 C -0.141 4.141 4 C -0.183 4.183 5 O -0.367 6.367 6 C 0.649 3.351 7 O -0.570 6.570 8 N -0.692 5.692 9 C 0.143 3.857 10 H 0.121 0.879 11 C -0.133 4.133 12 C 0.074 3.926 13 H 0.070 0.930 14 N -0.661 5.661 15 C 0.163 3.837 16 C -0.516 4.516 17 H 0.079 0.921 18 C 0.069 3.931 19 N -0.900 5.900 20 Si 0.878 3.122 21 H -0.278 1.278 22 H -0.286 1.286 23 H -0.267 1.267 24 C -0.095 4.095 25 C -0.121 4.121 26 C 0.056 3.944 27 O -0.383 6.383 28 C 0.065 3.935 29 C -0.140 4.140 30 H 0.059 0.941 31 H 0.069 0.931 32 H 0.088 0.912 33 H 0.067 0.933 34 H 0.079 0.921 35 H 0.066 0.934 36 H 0.088 0.912 37 H 0.069 0.931 38 H 0.059 0.941 39 H 0.407 0.593 40 H 0.096 0.904 41 H 0.070 0.930 42 H 0.338 0.662 43 H 0.027 0.973 44 H -0.020 1.020 45 H 0.264 0.736 46 H 0.081 0.919 47 H 0.082 0.918 48 H 0.090 0.910 49 H 0.051 0.949 50 H 0.088 0.912 51 H 0.049 0.951 52 H 0.075 0.925 53 H 0.073 0.927 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.141 19.086 -19.515 27.477 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 -0.241 4.241 2 C 0.100 3.900 3 C -0.198 4.198 4 C -0.241 4.241 5 O -0.282 6.282 6 C 0.403 3.597 7 O -0.460 6.460 8 N -0.350 5.350 9 C 0.039 3.961 10 H 0.139 0.861 11 C -0.173 4.173 12 C -0.038 4.038 13 H 0.088 0.912 14 N -0.293 5.293 15 C 0.036 3.964 16 C -0.554 4.554 17 H 0.097 0.903 18 C -0.133 4.133 19 N -0.538 5.538 20 Si 0.705 3.295 21 H -0.204 1.204 22 H -0.212 1.212 23 H -0.192 1.192 24 C -0.097 4.097 25 C -0.159 4.159 26 C -0.021 4.021 27 O -0.302 6.302 28 C -0.012 4.012 29 C -0.178 4.178 30 H 0.078 0.922 31 H 0.088 0.912 32 H 0.107 0.893 33 H 0.086 0.914 34 H 0.098 0.902 35 H 0.085 0.915 36 H 0.107 0.893 37 H 0.088 0.912 38 H 0.078 0.922 39 H 0.243 0.757 40 H 0.114 0.886 41 H 0.089 0.911 42 H 0.158 0.842 43 H 0.045 0.955 44 H -0.003 1.003 45 H 0.074 0.926 46 H 0.099 0.901 47 H 0.101 0.899 48 H 0.108 0.892 49 H 0.070 0.930 50 H 0.106 0.894 51 H 0.067 0.933 52 H 0.094 0.906 53 H 0.092 0.908 Dipole moment (debyes) X Y Z Total from point charges -3.575 19.174 -19.457 27.550 hybrid contribution -0.785 -1.134 -0.270 1.405 sum -4.359 18.040 -19.727 27.085 Atomic orbital electron populations 1.22516 0.94033 1.05120 1.02394 1.22041 0.94316 0.91478 0.82141 1.21864 1.02296 0.92596 1.03069 1.22516 1.01600 1.03526 0.96414 1.86308 1.71594 1.23828 1.46433 1.18174 0.78715 0.80370 0.82482 1.90884 1.41324 1.70435 1.43347 1.44940 1.54608 1.12300 1.23200 1.22657 0.97206 0.77127 0.99128 0.86076 1.23594 1.00969 0.97955 0.94733 1.22762 0.95410 0.95059 0.90569 0.91230 1.60619 1.04911 1.39845 1.23883 1.20061 0.96204 0.86378 0.93800 1.21039 1.09328 1.14261 1.10802 0.90322 1.24908 0.96719 0.96859 0.94838 1.69895 1.38241 1.27902 1.17810 0.86828 0.84357 0.80412 0.77901 1.20381 1.21183 1.19156 1.22384 0.95280 0.96257 0.95733 1.21768 0.95683 1.00588 0.97887 1.22808 1.00760 0.91984 0.86506 1.87869 1.30727 1.64274 1.47346 1.22527 0.87006 0.96410 0.95211 1.22129 1.01366 0.98889 0.95393 0.92203 0.91247 0.89313 0.91443 0.90214 0.91465 0.89347 0.91244 0.92156 0.75697 0.88583 0.91098 0.84220 0.95542 1.00280 0.92634 0.90083 0.89915 0.89195 0.93050 0.89401 0.93269 0.90637 0.90801 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 -0.18 -1.63 8.37 37.16 0.31 -1.32 16 2 C 0.14 1.24 1.13 -90.61 -0.10 1.14 16 3 C -0.14 -0.92 8.85 37.16 0.33 -0.59 16 4 C -0.18 -1.64 8.37 37.16 0.31 -1.33 16 5 O -0.37 -4.01 9.94 -40.32 -0.40 -4.41 16 6 C 0.65 7.76 7.66 54.05 0.41 8.17 16 7 O -0.57 -7.85 11.35 -19.29 -0.22 -8.07 16 8 N -0.69 -7.39 3.14 -58.12 -0.18 -7.57 16 9 C 0.14 1.67 3.73 -67.31 -0.25 1.42 16 10 H 0.12 1.52 7.08 -51.93 -0.37 1.16 16 11 C -0.13 -1.73 7.36 -25.68 -0.19 -1.92 16 12 C 0.07 1.11 3.61 -66.96 -0.24 0.86 16 13 H 0.07 1.08 7.82 -51.93 -0.41 0.68 16 14 N -0.66 -12.47 6.06 -107.20 -0.65 -13.12 16 15 C 0.16 3.80 4.35 -4.98 -0.02 3.78 16 16 C -0.52 -14.39 9.87 -34.44 -0.34 -14.73 16 17 H 0.08 2.38 8.06 -52.49 -0.42 1.95 16 18 C 0.07 1.97 5.47 -17.82 -0.10 1.87 16 19 N -0.90 -27.37 13.96 55.43 0.77 -26.59 16 20 Si 0.88 21.35 27.47 -169.99 -4.67 16.68 16 21 H -0.28 -6.66 7.11 56.52 0.40 -6.26 16 22 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 23 H -0.27 -6.24 6.54 56.52 0.37 -5.87 16 24 C -0.09 -1.16 0.66 -154.36 -0.10 -1.27 16 25 C -0.12 -1.45 4.00 -26.68 -0.11 -1.56 16 26 C 0.06 0.64 6.60 37.30 0.25 0.88 16 27 O -0.38 -5.09 10.72 -35.23 -0.38 -5.47 16 28 C 0.07 0.78 6.78 37.30 0.25 1.03 16 29 C -0.14 -1.69 5.33 -26.68 -0.14 -1.84 16 30 H 0.06 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.07 0.48 8.14 -51.93 -0.42 0.06 16 32 H 0.09 1.00 5.88 -51.93 -0.31 0.69 16 33 H 0.07 0.43 8.14 -51.93 -0.42 0.01 16 34 H 0.08 0.38 8.14 -51.93 -0.42 -0.04 16 35 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 36 H 0.09 1.00 5.88 -51.93 -0.31 0.69 16 37 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 38 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 39 H 0.41 3.81 7.39 -40.82 -0.30 3.50 16 40 H 0.10 1.27 7.65 -51.93 -0.40 0.87 16 41 H 0.07 0.92 8.14 -51.93 -0.42 0.49 16 42 H 0.34 6.32 6.99 -39.29 -0.27 6.04 16 43 H 0.03 0.64 7.20 -51.93 -0.37 0.26 16 44 H -0.02 -0.48 7.56 -51.93 -0.39 -0.87 16 45 H 0.26 7.52 8.31 -40.82 -0.34 7.18 16 46 H 0.08 0.92 6.73 -51.93 -0.35 0.57 16 47 H 0.08 1.12 6.91 -51.93 -0.36 0.76 16 48 H 0.09 0.91 8.14 -51.93 -0.42 0.49 16 49 H 0.05 0.56 5.44 -51.93 -0.28 0.28 16 50 H 0.09 0.94 8.14 -51.92 -0.42 0.51 16 51 H 0.05 0.62 8.12 -51.93 -0.42 0.19 16 52 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 53 H 0.07 0.84 8.04 -51.93 -0.42 0.42 16 LS Contribution 400.15 15.07 6.03 6.03 Total: -1.00 -31.22 400.15 -8.62 -39.83 By element: Atomic # 1 Polarization: 17.28 SS G_CDS: -9.19 Total: 8.09 kcal Atomic # 6 Polarization: -5.67 SS G_CDS: 0.27 Total: -5.40 kcal Atomic # 7 Polarization: -47.22 SS G_CDS: -0.06 Total: -47.28 kcal Atomic # 8 Polarization: -16.96 SS G_CDS: -1.00 Total: -17.96 kcal Atomic # 14 Polarization: 21.35 SS G_CDS: -4.67 Total: 16.68 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -31.22 -8.62 -39.83 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. ZINC000894082439.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 -66.436 kcal (2) G-P(sol) polarization free energy of solvation -31.216 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.653 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.618 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.834 kcal (6) G-S(sol) free energy of system = (1) + (5) -106.271 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.04 seconds