Wall clock time and date at job start Sun Mar 7 2021 06:17:58 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.53005 * 1 3 3 C 1.52997 * 109.47197 * 2 1 4 4 C 1.52996 * 109.46941 * 239.99619 * 2 1 3 5 5 O 1.45200 * 109.46958 * 119.99890 * 2 1 3 6 6 C 1.34638 * 116.99938 * 59.99470 * 5 2 1 7 7 O 1.21514 * 120.00036 * 0.02562 * 6 5 2 8 8 N 1.34776 * 120.00091 * 179.97438 * 6 5 2 9 9 C 1.46496 * 120.00015 * 180.02562 * 8 6 5 10 10 H 1.09004 * 112.90889 * 336.25053 * 9 8 6 11 11 C 1.53784 * 113.61524 * 107.50411 * 9 8 6 12 12 C 1.53779 * 87.08045 * 89.11591 * 11 9 8 13 13 H 1.09006 * 113.61307 * 270.88660 * 12 11 9 14 14 C 1.53003 * 113.69268 * 139.99100 * 12 11 9 15 15 C 1.53006 * 109.47066 * 87.46249 * 14 12 11 16 16 N 1.46491 * 109.47411 * 180.02562 * 15 14 12 17 17 C 1.34770 * 120.00168 * 179.97438 * 16 15 14 18 18 O 1.21551 * 120.00000 * 0.02562 * 17 16 15 19 19 C 1.47851 * 120.00306 * 180.02562 * 17 16 15 20 20 C 1.39546 * 120.13719 * 0.02562 * 19 17 16 21 21 C 1.38072 * 119.84287 * 180.02562 * 20 19 17 22 22 Br 1.89100 * 119.93754 * 179.97438 * 21 20 19 23 23 C 1.38425 * 120.12340 * 359.97438 * 21 20 19 24 24 C 1.38366 * 120.28216 * 359.97438 * 23 21 20 25 25 C 1.50699 * 119.91864 * 180.02562 * 24 23 21 26 26 O 1.42909 * 109.47122 * 245.00101 * 25 24 23 27 27 Si 1.86301 * 109.47316 * 4.99864 * 25 24 23 28 28 C 1.37940 * 120.15645 * 359.72388 * 24 23 21 29 29 C 1.53779 * 87.08402 * 25.43458 * 12 11 9 30 30 H 1.09002 * 109.46797 * 300.00573 * 1 2 3 31 31 H 1.09003 * 109.46912 * 59.99660 * 1 2 3 32 32 H 1.08997 * 109.47508 * 179.97438 * 1 2 3 33 33 H 1.08997 * 109.46812 * 179.97438 * 3 2 1 34 34 H 1.08999 * 109.47350 * 299.99503 * 3 2 1 35 35 H 1.08999 * 109.47271 * 59.99743 * 3 2 1 36 36 H 1.08997 * 109.47510 * 300.00599 * 4 2 1 37 37 H 1.09003 * 109.46886 * 60.00078 * 4 2 1 38 38 H 1.08997 * 109.47474 * 179.97438 * 4 2 1 39 39 H 0.96998 * 119.99607 * 0.02562 * 8 6 5 40 40 H 1.09002 * 113.61478 * 203.66556 * 11 9 8 41 41 H 1.09004 * 113.61162 * 334.56734 * 11 9 8 42 42 H 1.08996 * 109.47332 * 207.46465 * 14 12 11 43 43 H 1.08996 * 109.47070 * 327.47082 * 14 12 11 44 44 H 1.09005 * 109.47084 * 300.00449 * 15 14 12 45 45 H 1.09004 * 109.46674 * 59.99850 * 15 14 12 46 46 H 0.96998 * 119.99914 * 0.02562 * 16 15 14 47 47 H 1.08005 * 120.07691 * 0.02562 * 20 19 17 48 48 H 1.08003 * 119.85813 * 179.97438 * 23 21 20 49 49 H 1.08996 * 109.47112 * 125.00287 * 25 24 23 50 50 H 0.96700 * 113.99402 * 60.00135 * 26 25 24 51 51 H 1.48506 * 109.99797 * 179.97438 * 27 25 24 52 52 H 1.48493 * 110.00140 * 301.32020 * 27 25 24 53 53 H 1.08000 * 120.06423 * 180.27798 * 28 24 23 54 54 H 1.08997 * 113.61646 * 220.02209 * 29 12 11 55 55 H 1.08998 * 113.69354 * 89.12517 * 29 12 11 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 6 2.0400 -0.7213 -1.2492 5 8 2.0140 -0.6845 1.1856 6 6 1.6521 -1.9723 1.3384 7 8 0.9514 -2.5096 0.5037 8 7 2.0679 -2.6657 2.4167 9 6 1.6746 -4.0671 2.5827 10 1 0.7607 -4.3179 2.0442 11 6 2.8230 -5.0616 2.3441 12 6 3.1507 -4.9209 3.8400 13 1 3.8470 -4.1116 4.0602 14 6 3.5413 -6.2396 4.5105 15 6 5.0462 -6.4659 4.3526 16 7 5.4201 -7.7288 4.9940 17 6 6.7044 -8.1373 4.9801 18 8 7.5525 -7.4577 4.4358 19 6 7.0817 -9.4121 5.6270 20 6 6.1103 -10.1949 6.2523 21 6 6.4695 -11.3841 6.8550 22 35 5.1555 -12.4466 7.7037 23 6 7.7897 -11.8000 6.8390 24 6 8.7569 -11.0284 6.2196 25 6 10.1916 -11.4892 6.2067 26 8 10.9920 -10.5763 6.9605 27 14 10.3053 -13.1871 6.9650 28 6 8.4099 -9.8414 5.6086 29 6 1.6758 -4.5380 4.0467 30 1 -0.3633 0.5139 0.8900 31 1 -0.3633 0.5139 -0.8900 32 1 -0.3634 -1.0276 -0.0005 33 1 3.1300 1.4424 0.0005 34 1 1.6768 1.9563 -0.8900 35 1 1.6767 1.9563 0.8899 36 1 1.6766 -1.7489 -1.2492 37 1 1.6766 -0.2075 -2.1392 38 1 3.1300 -0.7210 -1.2495 39 1 2.6275 -2.2368 3.0829 40 1 2.4854 -6.0592 2.0630 41 1 3.6040 -4.6774 1.6880 42 1 3.2895 -6.1970 5.5701 43 1 2.9993 -7.0604 4.0409 44 1 5.2981 -6.5085 3.2929 45 1 5.5883 -5.6450 4.8221 46 1 4.7433 -8.2713 5.4280 47 1 5.0799 -9.8713 6.2648 48 1 8.0660 -12.7307 7.3121 49 1 10.5523 -11.5254 5.1788 50 1 10.7272 -10.4935 7.8869 51 1 11.7153 -13.6532 6.9576 52 1 9.7868 -13.1579 8.3561 53 1 9.1653 -9.2425 5.1216 54 1 1.5307 -3.7311 4.7650 55 1 1.0234 -5.3915 4.2314 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 No. of singly occupied orbitals= 1 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). Br: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_16498394_12335870.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 06:17:58 Heat of formation + Delta-G solvation = -96.029611 kcal Electronic energy + Delta-G solvation = -35508.422208 eV Core-core repulsion = 30559.080707 eV Total energy + Delta-G solvation = -4949.341501 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 455.119 amu Computer time = 1.58 seconds Orbital eigenvalues (eV) -41.96207 -41.58175 -40.51044 -39.95370 -38.01571 -37.82364 -36.46414 -35.36441 -34.25696 -33.62864 -33.27770 -31.24664 -30.45731 -28.39853 -28.33241 -27.11134 -26.76059 -26.50711 -24.81879 -23.66166 -22.88179 -22.62160 -21.50600 -21.15395 -20.14823 -19.36715 -19.15287 -18.02159 -17.69365 -17.58387 -17.32452 -17.22367 -16.79285 -16.55871 -16.46324 -16.29813 -15.80531 -15.75087 -15.51113 -15.42586 -15.17790 -14.97154 -14.83495 -14.65063 -14.39233 -14.26497 -14.14101 -13.74876 -13.40633 -13.38005 -13.29814 -13.16391 -13.04413 -12.94892 -12.89831 -12.73184 -12.53414 -12.34875 -12.28340 -12.26603 -11.96167 -11.93238 -11.81765 -11.53595 -11.43241 -11.37545 -11.20255 -11.15098 -11.06892 -10.70132 -10.42262 -10.17250 -10.12595 -9.90877 -4.97342 -0.51862 -0.16261 0.43463 1.12326 1.20553 1.51767 1.54549 1.70323 1.90456 2.00144 2.46170 3.10275 3.24941 3.33744 3.45787 3.50472 3.51588 3.71232 3.76123 3.79326 3.86243 3.87325 3.87990 3.91418 3.96753 4.12699 4.20538 4.27822 4.33915 4.44691 4.50700 4.54770 4.57026 4.58286 4.66814 4.73425 4.75965 4.79173 4.82798 4.83528 4.84638 4.89552 4.91664 4.92911 5.01419 5.08068 5.09107 5.12796 5.22557 5.24006 5.25665 5.29842 5.33360 5.39210 5.50981 5.64158 6.36104 6.36558 6.42022 7.03510 7.31113 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.180 4.180 2 C 0.127 3.873 3 C -0.138 4.138 4 C -0.180 4.180 5 O -0.370 6.370 6 C 0.644 3.356 7 O -0.594 6.594 8 N -0.684 5.684 9 C 0.124 3.876 10 H 0.089 0.911 11 C -0.149 4.149 12 C -0.100 4.100 13 H 0.094 0.906 14 C -0.111 4.111 15 C 0.118 3.882 16 N -0.710 5.710 17 C 0.556 3.444 18 O -0.576 6.576 19 C -0.136 4.136 20 C -0.043 4.043 21 C -0.099 4.099 22 Br -0.028 7.028 23 C -0.063 4.063 24 C -0.113 4.113 25 C -0.084 4.084 26 O -0.546 6.546 27 Si 0.763 3.237 28 C -0.030 4.030 29 C -0.124 4.124 30 H 0.062 0.938 31 H 0.087 0.913 32 H 0.063 0.937 33 H 0.068 0.932 34 H 0.099 0.901 35 H 0.070 0.930 36 H 0.063 0.937 37 H 0.087 0.913 38 H 0.060 0.940 39 H 0.416 0.584 40 H 0.103 0.897 41 H 0.056 0.944 42 H 0.090 0.910 43 H 0.087 0.913 44 H 0.057 0.943 45 H 0.059 0.941 46 H 0.415 0.585 47 H 0.164 0.836 48 H 0.156 0.844 49 H 0.130 0.870 50 H 0.388 0.612 51 H -0.297 1.297 52 H -0.271 1.271 53 H 0.130 0.870 54 H 0.083 0.917 55 H 0.116 0.884 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.510 -2.093 3.318 5.978 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 -0.237 4.237 2 C 0.091 3.909 3 C -0.195 4.195 4 C -0.238 4.238 5 O -0.285 6.285 6 C 0.398 3.602 7 O -0.484 6.484 8 N -0.343 5.343 9 C 0.020 3.980 10 H 0.108 0.892 11 C -0.188 4.188 12 C -0.119 4.119 13 H 0.112 0.888 14 C -0.149 4.149 15 C -0.005 4.005 16 N -0.362 5.362 17 C 0.344 3.656 18 O -0.457 6.457 19 C -0.140 4.140 20 C -0.063 4.063 21 C -0.179 4.179 22 Br 0.058 6.942 23 C -0.082 4.082 24 C -0.115 4.115 25 C -0.193 4.193 26 O -0.354 6.354 27 Si 0.667 3.333 28 C -0.049 4.049 29 C -0.161 4.161 30 H 0.081 0.919 31 H 0.106 0.894 32 H 0.082 0.918 33 H 0.087 0.913 34 H 0.117 0.883 35 H 0.089 0.911 36 H 0.082 0.918 37 H 0.106 0.894 38 H 0.079 0.921 39 H 0.253 0.747 40 H 0.122 0.878 41 H 0.075 0.925 42 H 0.108 0.892 43 H 0.106 0.894 44 H 0.075 0.925 45 H 0.078 0.922 46 H 0.254 0.746 47 H 0.181 0.819 48 H 0.173 0.827 49 H 0.147 0.853 50 H 0.237 0.763 51 H -0.225 1.225 52 H -0.197 1.197 53 H 0.148 0.852 54 H 0.102 0.898 55 H 0.134 0.866 Dipole moment (debyes) X Y Z Total from point charges -4.177 -2.581 2.852 5.678 hybrid contribution 0.679 1.258 0.684 1.585 sum -3.499 -1.323 3.537 5.147 Atomic orbital electron populations 1.22475 0.93938 1.03719 1.03574 1.22351 0.94531 0.92548 0.81445 1.21895 1.02415 0.90895 1.04306 1.22474 1.01560 1.02266 0.97452 1.86311 1.71544 1.23337 1.47310 1.18349 0.78610 0.80712 0.82524 1.90902 1.42348 1.71043 1.44146 1.44402 1.54846 1.12003 1.23028 1.21947 0.98568 0.78001 0.99535 0.89235 1.23593 0.97924 1.00126 0.97138 1.22479 0.96931 0.97852 0.94637 0.88755 1.21732 0.92426 0.97836 1.02871 1.21456 0.96921 0.84703 0.97411 1.45834 1.08323 1.24474 1.57582 1.18373 0.82936 0.85136 0.79175 1.90805 1.50922 1.57296 1.46643 1.19886 0.94815 0.95886 1.03445 1.21470 1.00299 0.91580 0.92938 1.21738 0.94177 0.97523 1.04422 1.96862 1.51342 1.67823 1.78192 1.21423 0.91074 0.99505 0.96213 1.20242 0.96530 0.95283 0.99397 1.25309 0.87159 1.04016 1.02810 1.86621 1.57675 1.63890 1.27196 0.94127 0.80960 0.76755 0.81497 1.21270 0.95129 0.94551 0.93987 1.23357 0.96596 1.02446 0.93751 0.91856 0.89430 0.91770 0.91279 0.88262 0.91104 0.91807 0.89406 0.92089 0.74736 0.87836 0.92541 0.89150 0.89421 0.92492 0.92226 0.74630 0.81859 0.82725 0.85266 0.76274 1.22498 1.19732 0.85210 0.89794 0.86605 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.63 8.37 71.98 0.60 -0.03 16 2 C 0.13 0.45 1.13 -10.79 -0.01 0.43 16 3 C -0.14 0.21 8.85 71.98 0.64 0.85 16 4 C -0.18 -0.73 8.37 71.98 0.60 -0.12 16 5 O -0.37 -2.25 9.94 -55.48 -0.55 -2.80 16 6 C 0.64 4.58 8.06 129.79 1.05 5.63 16 7 O -0.59 -7.41 11.48 19.80 0.23 -7.18 16 8 N -0.68 -0.25 5.27 -567.59 -2.99 -3.24 16 9 C 0.12 -0.27 4.32 45.52 0.20 -0.07 16 10 H 0.09 0.16 7.47 -2.39 -0.02 0.14 16 11 C -0.15 0.59 7.43 31.12 0.23 0.82 16 12 C -0.10 0.80 3.52 -10.27 -0.04 0.76 16 13 H 0.09 -0.71 8.13 -2.38 -0.02 -0.73 16 14 C -0.11 1.08 5.17 30.60 0.16 1.24 16 15 C 0.12 -0.40 5.66 86.38 0.49 0.09 16 16 N -0.71 2.34 5.51 -465.97 -2.57 -0.23 16 17 C 0.56 2.28 7.77 86.79 0.67 2.96 16 18 O -0.58 -7.69 16.35 -3.88 -0.06 -7.75 16 19 C -0.14 -0.10 5.87 -20.09 -0.12 -0.22 16 20 C -0.04 0.18 9.28 22.55 0.21 0.39 16 21 C -0.10 0.33 6.22 22.27 0.14 0.47 16 22 Br -0.03 0.10 33.69 -20.37 -0.69 -0.59 16 23 C -0.06 0.21 8.40 22.34 0.19 0.40 16 24 C -0.11 0.15 5.34 -19.90 -0.11 0.05 16 25 C -0.08 0.15 2.80 71.24 0.20 0.35 16 26 O -0.55 -1.06 12.84 -148.98 -1.91 -2.97 16 27 Si 0.76 -2.84 29.87 68.60 2.05 -0.79 16 28 C -0.03 -0.07 9.23 22.53 0.21 0.14 16 29 C -0.12 1.04 7.39 31.12 0.23 1.27 16 30 H 0.06 0.17 8.14 -2.39 -0.02 0.15 16 31 H 0.09 0.00 8.14 -2.39 -0.02 -0.02 16 32 H 0.06 0.56 5.88 -2.39 -0.01 0.55 16 33 H 0.07 -0.11 8.14 -2.39 -0.02 -0.13 16 34 H 0.10 -0.48 8.14 -2.39 -0.02 -0.50 16 35 H 0.07 -0.14 8.14 -2.39 -0.02 -0.15 16 36 H 0.06 0.60 5.88 -2.39 -0.01 0.58 16 37 H 0.09 0.04 8.14 -2.39 -0.02 0.02 16 38 H 0.06 0.22 8.14 -2.39 -0.02 0.20 16 39 H 0.42 -1.61 8.81 -92.71 -0.82 -2.43 16 40 H 0.10 -0.57 7.90 -2.39 -0.02 -0.59 16 41 H 0.06 0.00 8.14 -2.39 -0.02 -0.02 16 42 H 0.09 -1.08 8.14 -2.39 -0.02 -1.10 16 43 H 0.09 -1.00 7.85 -2.39 -0.02 -1.02 16 44 H 0.06 0.01 8.14 -2.38 -0.02 -0.01 16 45 H 0.06 -0.04 8.14 -2.38 -0.02 -0.06 16 46 H 0.42 -4.10 6.51 -92.71 -0.60 -4.71 16 47 H 0.16 -1.65 6.41 -2.91 -0.02 -1.67 16 48 H 0.16 -0.97 4.82 -2.91 -0.01 -0.98 16 49 H 0.13 -0.39 7.96 -2.39 -0.02 -0.40 16 50 H 0.39 -1.60 8.70 -74.06 -0.64 -2.24 16 51 H -0.30 -1.25 7.11 99.48 0.71 -0.54 16 52 H -0.27 0.29 7.00 99.48 0.70 0.99 16 53 H 0.13 0.74 7.65 -2.91 -0.02 0.72 16 54 H 0.08 -0.75 8.14 -2.39 -0.02 -0.77 16 55 H 0.12 -1.26 8.10 -2.39 -0.02 -1.28 16 Total: 0.00 -24.12 462.02 -2.04 -26.17 By element: Atomic # 1 Polarization: -14.91 SS G_CDS: -1.09 Total: -16.00 kcal Atomic # 6 Polarization: 9.85 SS G_CDS: 5.54 Total: 15.39 kcal Atomic # 7 Polarization: 2.09 SS G_CDS: -5.55 Total: -3.47 kcal Atomic # 8 Polarization: -18.41 SS G_CDS: -2.30 Total: -20.71 kcal Atomic # 14 Polarization: -2.84 SS G_CDS: 2.05 Total: -0.79 kcal Atomic # 35 Polarization: 0.10 SS G_CDS: -0.69 Total: -0.59 kcal Total: -24.12 -2.04 -26.17 kcal The number of atoms in the molecule is 55 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. s_22_16498394_12335870.mol2 55 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 -69.863 kcal (2) G-P(sol) polarization free energy of solvation -24.123 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -93.987 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.043 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -26.166 kcal (6) G-S(sol) free energy of system = (1) + (5) -96.030 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.58 seconds