Wall clock time and date at job start Sat Apr 11 2020 06:10:24 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 1.52988 * 1 3 3 C 1.53000 * 110.89095 * 2 1 4 4 C 1.54917 * 111.00488 * 236.07922 * 2 1 3 5 5 N 1.47420 * 104.83196 * 278.93627 * 4 2 1 6 6 C 1.36937 * 125.64893 * 155.92454 * 5 4 2 7 7 H 1.07995 * 120.00304 * 0.02562 * 6 5 4 8 8 C 1.38813 * 120.00018 * 179.97438 * 6 5 4 9 9 N 1.31618 * 119.99968 * 0.02562 * 8 6 5 10 10 Si 1.86799 * 120.00002 * 179.97438 * 8 6 5 11 11 H 1.48498 * 109.47419 * 0.02562 * 10 8 6 12 12 H 1.48508 * 109.46984 * 120.00155 * 10 8 6 13 13 H 1.48492 * 109.47225 * 239.99986 * 10 8 6 14 14 C 1.47494 * 108.75867 * 335.88928 * 5 4 2 15 15 C 1.54322 * 107.03421 * 1.02584 * 14 5 4 16 16 H 1.08998 * 110.72159 * 140.69228 * 15 14 5 17 17 N 1.46496 * 110.71827 * 263.79023 * 15 14 5 18 18 C 1.34777 * 119.99875 * 271.15396 * 17 15 14 19 19 O 1.21279 * 120.00162 * 0.02562 * 18 17 15 20 20 C 1.50706 * 120.00146 * 180.02562 * 18 17 15 21 21 C 1.52999 * 109.46953 * 180.02562 * 20 18 17 22 22 O 1.42905 * 109.46728 * 180.02562 * 21 20 18 23 23 C 1.42899 * 113.99778 * 179.97438 * 22 21 20 24 24 C 1.52999 * 109.46889 * 179.97438 * 23 22 21 25 25 H 1.09008 * 110.27531 * 55.63848 * 24 23 22 26 26 C 1.54948 * 110.31037 * 177.83220 * 24 23 22 27 27 C 1.55300 * 100.94398 * 155.36014 * 26 24 23 28 28 C 1.54375 * 102.25422 * 325.86863 * 27 26 24 29 29 O 1.43242 * 107.58802 * 21.35555 * 28 27 26 30 30 H 1.09011 * 109.46964 * 296.11755 * 1 2 3 31 31 H 1.08997 * 109.47640 * 56.11581 * 1 2 3 32 32 H 1.08998 * 109.47675 * 176.11780 * 1 2 3 33 33 H 1.08997 * 109.47704 * 183.88390 * 3 2 1 34 34 H 1.09003 * 109.46950 * 303.88966 * 3 2 1 35 35 H 1.09003 * 109.46866 * 63.87873 * 3 2 1 36 36 H 1.09000 * 110.36450 * 37.77319 * 4 2 1 37 37 H 1.08999 * 110.36667 * 159.98736 * 4 2 1 38 38 H 0.97003 * 120.00041 * 180.02562 * 9 8 6 39 39 H 1.09001 * 110.03095 * 241.65974 * 14 5 4 40 40 H 1.09001 * 109.96268 * 120.34913 * 14 5 4 41 41 H 0.96999 * 120.00082 * 91.16415 * 17 15 14 42 42 H 1.09000 * 109.46974 * 60.00144 * 20 18 17 43 43 H 1.09001 * 109.46547 * 300.00234 * 20 18 17 44 44 H 1.09000 * 109.47486 * 60.00062 * 21 20 18 45 45 H 1.09001 * 109.47362 * 299.99339 * 21 20 18 46 46 H 1.08997 * 109.47171 * 299.99768 * 23 22 21 47 47 H 1.08997 * 109.47442 * 59.99964 * 23 22 21 48 48 H 1.09005 * 111.12389 * 273.28146 * 26 24 23 49 49 H 1.09003 * 111.12435 * 37.43756 * 26 24 23 50 50 H 1.08999 * 110.85010 * 207.67600 * 27 26 24 51 51 H 1.09000 * 110.84741 * 84.05719 * 27 26 24 52 52 H 1.09001 * 109.83220 * 261.84551 * 28 27 26 53 53 H 1.09000 * 109.83548 * 140.86480 * 28 27 26 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 1.5299 0.0000 0.0000 3 6 2.0755 1.4294 0.0000 4 6 2.0852 -0.8071 -1.2001 5 7 2.0138 -2.2161 -0.7727 6 6 1.9463 -3.3005 -1.6062 7 1 1.9427 -3.1593 -2.6768 8 6 1.8834 -4.5814 -1.0749 9 7 1.8883 -4.7536 0.2300 10 14 1.7906 -6.0606 -2.2119 11 1 1.7996 -5.6010 -3.6239 12 1 2.9602 -6.9437 -1.9718 13 1 0.5389 -6.8132 -1.9438 14 6 2.0279 -2.2660 0.7014 15 6 2.0861 -0.8075 1.2025 16 1 1.4541 -0.6760 2.0807 17 7 3.4667 -0.4151 1.4962 18 6 3.9812 -0.6284 2.7235 19 8 3.3015 -1.1455 3.5846 20 6 5.4012 -0.2242 3.0259 21 6 5.7331 -0.5749 4.4777 22 8 7.0794 -0.1911 4.7646 23 6 7.4923 -0.4758 6.1027 24 6 8.9419 -0.0260 6.2956 25 1 9.0472 1.0286 6.0409 26 6 9.3926 -0.2761 7.7569 27 6 10.9310 -0.3872 7.5760 28 6 11.0505 -1.0572 6.1903 29 8 9.8231 -0.8241 5.4896 30 1 -0.3633 0.4524 0.9228 31 1 -0.3634 0.5729 -0.8531 32 1 -0.3634 -1.0253 -0.0696 33 1 3.1629 1.4034 -0.0696 34 1 1.6696 1.9732 -0.8531 35 1 1.7823 1.9302 0.9227 36 1 1.4671 -0.6468 -2.0835 37 1 3.1175 -0.5224 -1.4035 38 1 1.8448 -5.6487 0.6012 39 1 2.9050 -2.8124 1.0481 40 1 1.1206 -2.7473 1.0662 41 1 4.0104 -0.0018 0.8075 42 1 5.5130 0.8497 2.8765 43 1 6.0801 -0.7564 2.3596 44 1 5.6214 -1.6489 4.6268 45 1 5.0542 -0.0430 5.1443 46 1 6.8496 0.0580 6.8026 47 1 7.4175 -1.5477 6.2858 48 1 9.1322 0.5662 8.3979 49 1 8.9744 -1.2055 8.1434 50 1 11.3683 -1.0172 8.3505 51 1 11.3933 0.6000 7.5706 52 1 11.2099 -2.1288 6.3103 53 1 11.8810 -0.6182 5.6375 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 ZINC001725291797.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 06:10:24 Heat of formation + Delta-G solvation = -110.815484 kcal Electronic energy + Delta-G solvation = -30282.279298 eV Core-core repulsion = 26154.511720 eV Total energy + Delta-G solvation = -4127.767579 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.76 seconds Orbital eigenvalues (eV) -39.88394 -39.71914 -38.17203 -37.40569 -33.82327 -32.97516 -32.58194 -32.02908 -30.66891 -30.31624 -28.01325 -26.80527 -25.68068 -25.57689 -23.96855 -22.80358 -21.99921 -21.54252 -20.37672 -19.76782 -18.63468 -17.48582 -17.12702 -16.65720 -16.34411 -16.11005 -15.81272 -15.69534 -15.15664 -14.76101 -14.49099 -14.11450 -13.88766 -13.80884 -13.72651 -13.42760 -13.25346 -12.84332 -12.69807 -12.47403 -12.13284 -12.02679 -11.95417 -11.72887 -11.65736 -11.49604 -11.35982 -11.33375 -11.25210 -11.12238 -11.03971 -10.95436 -10.77045 -10.35938 -10.20957 -9.97690 -9.83791 -9.75927 -9.65525 -9.61749 -9.44999 -8.61012 -8.40071 -6.79680 -5.66114 -3.00799 3.02957 3.16506 3.42381 3.47432 3.48783 3.50388 3.88767 4.07522 4.45217 4.52697 4.56530 4.79392 4.85410 4.91142 4.96544 5.00345 5.10959 5.19059 5.21264 5.27678 5.29646 5.32821 5.35704 5.40108 5.48413 5.56456 5.57368 5.60517 5.67646 5.74182 5.83127 5.85687 5.90973 5.94518 6.05325 6.18429 6.22646 6.26981 6.41600 6.60672 6.64118 6.70241 6.75324 6.78468 6.98803 7.11991 7.58882 7.67682 7.85769 7.97884 8.28153 8.64921 9.24584 9.85756 10.51299 11.44622 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012421 B = 0.002211 C = 0.001975 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2253.727881 B =12659.946452 C =14172.472138 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.126 4.126 2 C -0.090 4.090 3 C -0.130 4.130 4 C 0.144 3.856 5 N -0.604 5.604 6 C -0.228 4.228 7 H 0.078 0.922 8 C -0.008 4.008 9 N -0.918 5.918 10 Si 0.910 3.090 11 H -0.280 1.280 12 H -0.291 1.291 13 H -0.291 1.291 14 C 0.176 3.824 15 C 0.123 3.877 16 H 0.087 0.913 17 N -0.708 5.708 18 C 0.517 3.483 19 O -0.545 6.545 20 C -0.138 4.138 21 C 0.079 3.921 22 O -0.384 6.384 23 C 0.066 3.934 24 C 0.084 3.916 25 H 0.079 0.921 26 C -0.151 4.151 27 C -0.155 4.155 28 C 0.047 3.953 29 O -0.369 6.369 30 H 0.047 0.953 31 H 0.052 0.948 32 H 0.069 0.931 33 H 0.051 0.949 34 H 0.054 0.946 35 H 0.052 0.948 36 H 0.040 0.960 37 H 0.015 0.985 38 H 0.252 0.748 39 H 0.048 0.952 40 H 0.053 0.947 41 H 0.396 0.604 42 H 0.097 0.903 43 H 0.101 0.899 44 H 0.060 0.940 45 H 0.056 0.944 46 H 0.062 0.938 47 H 0.057 0.943 48 H 0.086 0.914 49 H 0.082 0.918 50 H 0.083 0.917 51 H 0.077 0.923 52 H 0.069 0.931 53 H 0.068 0.932 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 12.982 14.717 12.922 23.497 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 -0.183 4.183 2 C -0.091 4.091 3 C -0.188 4.188 4 C 0.018 3.982 5 N -0.330 5.330 6 C -0.357 4.357 7 H 0.095 0.905 8 C -0.205 4.205 9 N -0.566 5.566 10 Si 0.741 3.259 11 H -0.206 1.206 12 H -0.218 1.218 13 H -0.218 1.218 14 C 0.050 3.950 15 C 0.019 3.981 16 H 0.105 0.895 17 N -0.359 5.359 18 C 0.302 3.698 19 O -0.423 6.423 20 C -0.178 4.178 21 C 0.003 3.997 22 O -0.303 6.303 23 C -0.011 4.011 24 C 0.026 3.974 25 H 0.097 0.903 26 C -0.188 4.188 27 C -0.193 4.193 28 C -0.030 4.030 29 O -0.288 6.288 30 H 0.066 0.934 31 H 0.071 0.929 32 H 0.088 0.912 33 H 0.070 0.930 34 H 0.073 0.927 35 H 0.071 0.929 36 H 0.058 0.942 37 H 0.033 0.967 38 H 0.062 0.938 39 H 0.067 0.933 40 H 0.071 0.929 41 H 0.231 0.769 42 H 0.115 0.885 43 H 0.119 0.881 44 H 0.078 0.922 45 H 0.074 0.926 46 H 0.080 0.920 47 H 0.075 0.925 48 H 0.105 0.895 49 H 0.101 0.899 50 H 0.101 0.899 51 H 0.096 0.904 52 H 0.087 0.913 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 12.539 14.103 13.204 23.032 hybrid contribution 0.221 -0.783 -0.527 0.970 sum 12.760 13.319 12.677 22.381 Atomic orbital electron populations 1.21595 0.93337 1.02928 1.00467 1.22010 0.96332 0.94134 0.96659 1.21673 1.00277 0.95572 1.01297 1.21616 0.96536 0.85760 0.94284 1.44564 1.86914 0.99694 1.01837 1.19068 1.43674 0.84000 0.88920 0.90451 1.24814 1.02317 0.97387 0.95955 1.69974 1.56782 1.20675 1.09127 0.86070 0.77224 0.83047 0.79560 1.20573 1.21845 1.21810 1.21600 1.01590 0.88532 0.83230 1.22477 0.81135 0.97565 0.96971 0.89492 1.45981 1.15006 1.62461 1.12475 1.20225 0.88430 0.78616 0.82500 1.90702 1.61765 1.43327 1.46507 1.21449 0.94758 1.03896 0.97736 1.22124 0.82329 1.00120 0.95176 1.87847 1.29552 1.83839 1.29077 1.22608 0.93472 1.00309 0.84754 1.23003 0.89122 0.95861 0.89404 0.90345 1.23260 0.95600 1.03532 0.96454 1.23115 0.96256 1.02021 0.97887 1.23148 0.87797 1.00278 0.91756 1.88556 1.26374 1.72346 1.41548 0.93382 0.92912 0.91205 0.93001 0.92688 0.92895 0.94159 0.96715 0.93774 0.93340 0.92864 0.76883 0.88499 0.88062 0.92191 0.92579 0.91980 0.92459 0.89503 0.89927 0.89851 0.90397 0.91283 0.91395 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 -0.13 -2.01 8.57 37.15 0.32 -1.69 16 2 C -0.09 -1.49 0.83 -152.36 -0.13 -1.62 16 3 C -0.13 -1.67 8.22 37.16 0.31 -1.37 16 4 C 0.14 2.86 6.14 -2.53 -0.02 2.85 16 5 N -0.60 -15.14 3.39 -169.69 -0.58 -15.71 16 6 C -0.23 -6.35 10.28 -15.06 -0.15 -6.51 16 7 H 0.08 2.08 7.83 -52.49 -0.41 1.67 16 8 C -0.01 -0.24 5.49 -17.43 -0.10 -0.33 16 9 N -0.92 -27.66 10.31 55.49 0.57 -27.08 16 10 Si 0.91 22.47 29.55 -169.99 -5.02 17.44 16 11 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 12 H -0.29 -7.28 7.11 56.52 0.40 -6.88 16 13 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 14 C 0.18 4.35 4.82 -2.81 -0.01 4.34 16 15 C 0.12 2.36 2.54 -66.10 -0.17 2.19 16 16 H 0.09 1.73 7.53 -51.93 -0.39 1.34 16 17 N -0.71 -11.74 4.51 -52.03 -0.23 -11.98 16 18 C 0.52 8.78 7.83 -10.98 -0.09 8.70 16 19 O -0.55 -11.35 15.67 5.56 0.09 -11.26 16 20 C -0.14 -1.83 6.07 -27.88 -0.17 -2.00 16 21 C 0.08 1.08 5.23 37.16 0.19 1.27 16 22 O -0.38 -5.12 10.33 -36.86 -0.38 -5.50 16 23 C 0.07 0.69 5.65 37.16 0.21 0.90 16 24 C 0.08 0.79 3.73 -25.70 -0.10 0.69 16 25 H 0.08 0.71 8.14 -51.92 -0.42 0.29 16 26 C -0.15 -0.95 6.57 -24.48 -0.16 -1.11 16 27 C -0.16 -0.88 7.02 -24.79 -0.17 -1.06 16 28 C 0.05 0.38 7.79 37.88 0.30 0.67 16 29 O -0.37 -4.38 11.03 -36.86 -0.41 -4.79 16 30 H 0.05 0.69 8.14 -51.92 -0.42 0.27 16 31 H 0.05 0.75 8.14 -51.93 -0.42 0.32 16 32 H 0.07 1.33 7.91 -51.93 -0.41 0.91 16 33 H 0.05 0.61 6.43 -51.93 -0.33 0.28 16 34 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 35 H 0.05 0.65 8.14 -51.93 -0.42 0.22 16 36 H 0.04 0.79 8.05 -51.93 -0.42 0.37 16 37 H 0.02 0.29 7.98 -51.93 -0.41 -0.12 16 38 H 0.25 7.42 8.31 -40.82 -0.34 7.08 16 39 H 0.05 1.38 7.41 -51.93 -0.38 1.00 16 40 H 0.05 1.49 7.39 -51.93 -0.38 1.11 16 41 H 0.40 5.66 7.01 -40.82 -0.29 5.37 16 42 H 0.10 1.05 8.14 -51.93 -0.42 0.63 16 43 H 0.10 1.32 8.14 -51.93 -0.42 0.89 16 44 H 0.06 0.89 8.10 -51.93 -0.42 0.47 16 45 H 0.06 0.73 8.10 -51.93 -0.42 0.31 16 46 H 0.06 0.53 8.14 -51.93 -0.42 0.10 16 47 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 48 H 0.09 0.40 8.14 -51.93 -0.42 -0.02 16 49 H 0.08 0.50 8.06 -51.93 -0.42 0.09 16 50 H 0.08 0.36 8.14 -51.93 -0.42 -0.06 16 51 H 0.08 0.38 8.14 -51.93 -0.42 -0.05 16 52 H 0.07 0.51 8.14 -51.93 -0.42 0.09 16 53 H 0.07 0.49 8.14 -51.93 -0.42 0.06 16 LS Contribution 416.99 15.07 6.28 6.28 Total: -1.00 -34.27 416.99 -9.36 -43.63 By element: Atomic # 1 Polarization: 12.80 SS G_CDS: -9.75 Total: 3.05 kcal Atomic # 6 Polarization: 5.86 SS G_CDS: 0.06 Total: 5.92 kcal Atomic # 7 Polarization: -54.54 SS G_CDS: -0.24 Total: -54.78 kcal Atomic # 8 Polarization: -20.85 SS G_CDS: -0.70 Total: -21.55 kcal Atomic # 14 Polarization: 22.47 SS G_CDS: -5.02 Total: 17.44 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -34.27 -9.36 -43.63 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. ZINC001725291797.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 -67.187 kcal (2) G-P(sol) polarization free energy of solvation -34.266 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.453 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.362 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.629 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.815 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.76 seconds