Wall clock time and date at job start Mon Mar 8 2021 02:34:28 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 * 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 1.42905 * 1 3 3 C 1.35995 * 116.99762 * 2 1 4 4 C 1.39153 * 120.06967 * 179.97438 * 3 2 1 5 5 O 1.35995 * 120.07429 * 359.95825 * 4 3 2 6 6 C 1.42898 * 116.99959 * 179.97438 * 5 4 3 7 7 C 1.50698 * 109.47172 * 179.97438 * 6 5 4 8 8 O 1.21279 * 120.00148 * 359.97438 * 7 6 5 9 9 N 1.34779 * 120.00005 * 180.02562 * 7 6 5 10 10 C 1.46501 * 120.00133 * 179.97438 * 9 7 6 11 11 H 1.09003 * 109.46991 * 325.00041 * 10 9 7 12 12 C 1.53000 * 109.46802 * 84.99716 * 10 9 7 13 13 C 1.52999 * 109.47045 * 60.00428 * 12 10 9 14 14 C 1.52999 * 109.47357 * 60.00016 * 13 12 10 15 15 H 1.08997 * 109.47193 * 59.99717 * 14 13 12 16 16 C 1.52999 * 109.47357 * 180.02562 * 14 13 12 17 17 O 1.42895 * 109.47097 * 294.99800 * 16 14 13 18 18 C 1.53001 * 109.46657 * 300.00027 * 14 13 12 19 19 C 1.52990 * 109.47482 * 204.99806 * 10 9 7 20 20 C 1.38565 * 119.85128 * 179.97438 * 4 3 2 21 21 C 1.38239 * 120.00122 * 359.97438 * 20 4 3 22 22 N 1.48006 * 119.92599 * 180.02562 * 21 20 4 23 23 O 1.21796 * 120.00393 * 359.97438 * 22 21 20 24 24 O 1.21804 * 119.99545 * 180.02562 * 22 21 20 25 25 C 1.38253 * 120.14500 * 0.02562 * 21 20 4 26 26 C 1.50706 * 119.92566 * 179.97438 * 25 21 20 27 27 O 1.42908 * 109.46893 * 74.99981 * 26 25 21 28 28 Si 1.86299 * 109.47255 * 194.99769 * 26 25 21 29 29 C 1.38244 * 120.14683 * 359.74454 * 25 21 20 30 30 H 1.09001 * 109.46558 * 60.00239 * 1 2 3 31 31 H 1.09001 * 109.47103 * 179.97438 * 1 2 3 32 32 H 1.09000 * 109.47187 * 300.00191 * 1 2 3 33 33 H 1.09002 * 109.47403 * 299.99995 * 6 5 4 34 34 H 1.09001 * 109.47579 * 59.99400 * 6 5 4 35 35 H 0.97000 * 119.99943 * 359.97438 * 9 7 6 36 36 H 1.09001 * 109.46863 * 179.97438 * 12 10 9 37 37 H 1.08996 * 109.47569 * 299.99877 * 12 10 9 38 38 H 1.08997 * 109.47200 * 299.99737 * 13 12 10 39 39 H 1.09002 * 109.47032 * 179.97438 * 13 12 10 40 40 H 1.09004 * 109.46870 * 54.99446 * 16 14 13 41 41 H 1.08996 * 109.47061 * 174.99441 * 16 14 13 42 42 H 0.96704 * 114.00171 * 179.97438 * 17 16 14 43 43 H 1.09005 * 109.47080 * 299.99534 * 18 14 13 44 44 H 1.09005 * 109.46992 * 180.02562 * 18 14 13 45 45 H 1.09001 * 109.47299 * 59.99831 * 19 10 9 46 46 H 1.09001 * 109.47581 * 180.02562 * 19 10 9 47 47 H 1.07999 * 119.99854 * 179.97438 * 20 4 3 48 48 H 1.08997 * 109.46799 * 315.00247 * 26 25 21 49 49 H 0.96701 * 113.99973 * 60.00335 * 27 26 25 50 50 H 1.48506 * 109.99578 * 58.68298 * 28 26 25 51 51 H 1.48488 * 110.00051 * 179.97438 * 28 26 25 52 52 H 1.07996 * 119.99713 * 180.27745 * 29 25 21 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 1.4291 0.0000 0.0000 3 6 2.0464 1.2117 0.0000 4 6 3.4359 1.2863 0.0005 5 8 4.1795 0.1477 0.0019 6 6 5.6003 0.3007 0.0018 7 6 6.2519 -1.0582 0.0041 8 8 5.5670 -2.0591 0.0061 9 7 7.5957 -1.1611 0.0049 10 6 8.2292 -2.4821 0.0077 11 1 7.6269 -3.1726 0.5982 12 6 8.3369 -2.9990 -1.4283 13 6 9.1823 -2.0297 -2.2571 14 6 10.5814 -1.9233 -1.6471 15 1 11.0526 -2.9061 -1.6450 16 6 11.4265 -0.9536 -2.4755 17 8 11.6247 -1.4926 -3.7839 18 6 10.4735 -1.4064 -0.2111 19 6 9.6282 -2.3756 0.6177 20 6 4.0603 2.5234 0.0000 21 6 3.3029 3.6798 -0.0016 22 7 3.9715 5.0003 -0.0028 23 8 5.1876 5.0672 -0.0018 24 8 3.3054 6.0201 -0.0037 25 6 1.9224 3.6057 -0.0021 26 6 1.1016 4.8696 -0.0033 27 8 1.1352 5.4582 -1.3051 28 14 -0.6598 4.4667 0.4507 29 6 1.2932 2.3747 -0.0064 30 1 -0.3632 0.5138 -0.8900 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3633 0.5139 0.8900 33 1 5.9066 0.8494 -0.8888 34 1 5.9065 0.8516 0.8911 35 1 8.1435 -0.3606 0.0037 36 1 8.8087 -3.9816 -1.4263 37 1 7.3403 -3.0749 -1.8629 38 1 8.7111 -1.0469 -2.2591 39 1 9.2594 -2.3982 -3.2800 40 1 10.9113 0.0040 -2.5512 41 1 12.3926 -0.8091 -1.9918 42 1 12.1532 -0.9291 -4.3656 43 1 10.0023 -0.4235 -0.2131 44 1 11.4703 -1.3301 0.2234 45 1 9.5514 -2.0073 1.6408 46 1 10.0997 -3.3584 0.6194 47 1 5.1385 2.5840 0.0008 48 1 1.5129 5.5705 0.7230 49 1 0.7835 4.8889 -2.0033 50 1 -0.7050 3.8250 1.7892 51 1 -1.4794 5.7049 0.4537 52 1 0.2147 2.3196 -0.0113 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). 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=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV s_22_7207534_4549636.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Mon Mar 8 2021 02:34:28 Heat of formation + Delta-G solvation = -154.328547 kcal Electronic energy + Delta-G solvation = -38621.568746 eV Core-core repulsion = 33364.545878 eV Total energy + Delta-G solvation = -5257.022868 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 397.175 amu Computer time = 1.44 seconds Orbital eigenvalues (eV) -43.24421 -42.13343 -41.43829 -40.19516 -39.37536 -39.08451 -37.62508 -37.46407 -37.07226 -34.90258 -32.74968 -32.65301 -31.97902 -31.86004 -29.65556 -28.94893 -27.87073 -26.48404 -25.76900 -24.02172 -23.80006 -23.22318 -22.44642 -22.06671 -20.75139 -20.26492 -19.72000 -19.58126 -18.81135 -18.53500 -18.44710 -18.24124 -17.84150 -17.74938 -17.42857 -17.04789 -16.81303 -16.51969 -16.47847 -16.13719 -15.96999 -15.81272 -15.56401 -15.15241 -14.98432 -14.93264 -14.80209 -14.41478 -14.07438 -13.98958 -13.94804 -13.57797 -13.49557 -13.31497 -13.15362 -13.13489 -12.73808 -12.60455 -12.56554 -12.51104 -12.29124 -12.28671 -12.20827 -11.95224 -11.68618 -11.67797 -11.44423 -11.22492 -10.97717 -10.93629 -10.58807 -10.53546 -10.17968 -9.53710 -5.27890 -1.23203 -0.51549 0.31355 0.42522 1.02503 1.15969 1.41702 1.43831 1.71129 1.82229 1.86125 2.27007 2.90026 3.07705 3.09589 3.20151 3.33295 3.41684 3.45048 3.54195 3.59067 3.65328 3.69405 3.78069 3.80324 3.85112 3.91242 3.94146 3.97179 4.11094 4.15753 4.24246 4.26345 4.31741 4.32996 4.38062 4.39309 4.48924 4.53789 4.55833 4.62320 4.66426 4.85543 4.91723 4.96284 4.99617 5.16363 5.30058 5.32062 5.37945 5.45867 5.47095 5.91991 6.27603 6.43516 6.61106 6.77561 7.02993 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.013 3.987 2 O -0.284 6.284 3 C 0.171 3.829 4 C 0.110 3.890 5 O -0.264 6.264 6 C 0.030 3.970 7 C 0.518 3.482 8 O -0.508 6.508 9 N -0.719 5.719 10 C 0.148 3.852 11 H 0.092 0.908 12 C -0.133 4.133 13 C -0.108 4.108 14 C -0.089 4.089 15 H 0.081 0.919 16 C 0.079 3.921 17 O -0.573 6.573 18 C -0.115 4.115 19 C -0.126 4.126 20 C -0.118 4.118 21 C -0.025 4.025 22 N 0.032 4.968 23 O -0.174 6.174 24 O -0.129 6.129 25 C -0.043 4.043 26 C -0.074 4.074 27 O -0.515 6.515 28 Si 0.675 3.325 29 C -0.177 4.177 30 H 0.068 0.932 31 H 0.114 0.886 32 H 0.064 0.936 33 H 0.099 0.901 34 H 0.099 0.901 35 H 0.401 0.599 36 H 0.075 0.925 37 H 0.070 0.930 38 H 0.058 0.942 39 H 0.072 0.928 40 H 0.044 0.956 41 H 0.046 0.954 42 H 0.381 0.619 43 H 0.062 0.938 44 H 0.071 0.929 45 H 0.074 0.926 46 H 0.084 0.916 47 H 0.166 0.834 48 H 0.139 0.861 49 H 0.374 0.626 50 H -0.252 1.252 51 H -0.242 1.242 52 H 0.163 0.837 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.001 -2.322 -0.520 2.379 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 -0.082 4.082 2 O -0.195 6.195 3 C 0.122 3.878 4 C 0.062 3.938 5 O -0.175 6.175 6 C -0.048 4.048 7 C 0.302 3.698 8 O -0.382 6.382 9 N -0.374 5.374 10 C 0.044 3.956 11 H 0.110 0.890 12 C -0.172 4.172 13 C -0.146 4.146 14 C -0.108 4.108 15 H 0.099 0.901 16 C 0.001 3.999 17 O -0.379 6.379 18 C -0.153 4.153 19 C -0.164 4.164 20 C -0.138 4.138 21 C -0.109 4.109 22 N 0.551 4.449 23 O -0.385 6.385 24 O -0.350 6.350 25 C -0.045 4.045 26 C -0.184 4.184 27 O -0.319 6.319 28 Si 0.575 3.425 29 C -0.196 4.196 30 H 0.086 0.914 31 H 0.132 0.868 32 H 0.083 0.917 33 H 0.117 0.883 34 H 0.116 0.884 35 H 0.236 0.764 36 H 0.094 0.906 37 H 0.089 0.911 38 H 0.077 0.923 39 H 0.090 0.910 40 H 0.063 0.937 41 H 0.064 0.936 42 H 0.228 0.772 43 H 0.080 0.920 44 H 0.090 0.910 45 H 0.092 0.908 46 H 0.102 0.898 47 H 0.183 0.817 48 H 0.156 0.844 49 H 0.220 0.780 50 H -0.176 1.176 51 H -0.166 1.166 52 H 0.180 0.820 Dipole moment (debyes) X Y Z Total from point charges -1.537 -3.996 0.647 4.330 hybrid contribution 1.475 1.725 -0.012 2.269 sum -0.063 -2.271 0.635 2.359 Atomic orbital electron populations 1.23421 0.76805 1.05782 1.02164 1.86349 1.22484 1.24207 1.86487 1.18449 0.89045 0.85903 0.94394 1.17859 0.88440 0.85356 1.02129 1.86340 1.16866 1.25972 1.88370 1.22679 0.80202 0.97454 1.04483 1.19812 0.82735 0.90046 0.77182 1.90802 1.62611 1.37750 1.46994 1.45945 1.05533 1.10007 1.75911 1.21019 0.93541 0.83850 0.97191 0.88980 1.21956 1.00997 0.99436 0.94761 1.21482 0.93819 0.99576 0.99695 1.21191 0.96094 0.99910 0.93596 0.90105 1.22228 0.98293 0.95807 0.83590 1.86476 1.76529 1.50523 1.24327 1.21533 1.00625 0.98709 0.94434 1.21820 0.93941 1.01362 0.99278 1.20798 1.02183 0.88984 1.01860 1.20396 0.91980 0.83125 1.15419 1.43381 1.00977 1.02623 0.97900 1.94538 0.95814 1.93723 1.54405 1.94577 1.64436 1.24086 1.51871 1.20098 0.91595 0.97055 0.95768 1.25470 1.08483 0.93252 0.91199 1.86713 1.86620 1.43404 1.15155 0.95569 0.76331 0.85224 0.85415 1.20897 1.00500 0.89593 1.08562 0.91368 0.86773 0.91738 0.88327 0.88363 0.76375 0.90616 0.91131 0.92314 0.90977 0.93733 0.93616 0.77219 0.91976 0.90991 0.90759 0.89756 0.81677 0.84423 0.77973 1.17649 1.16602 0.82019 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 0.01 -0.05 9.81 101.05 0.99 0.94 16 2 O -0.28 -0.08 10.28 -34.23 -0.35 -0.43 16 3 C 0.17 -0.01 6.70 -39.12 -0.26 -0.27 16 4 C 0.11 0.06 6.70 -39.12 -0.26 -0.20 16 5 O -0.26 -0.47 9.45 -47.35 -0.45 -0.92 16 6 C 0.03 -0.05 5.22 36.00 0.19 0.14 16 7 C 0.52 0.37 7.87 -10.99 -0.09 0.28 16 8 O -0.51 -2.82 16.16 -14.35 -0.23 -3.05 16 9 N -0.72 1.47 4.23 -53.81 -0.23 1.24 16 10 C 0.15 -0.19 2.78 -67.94 -0.19 -0.38 16 11 H 0.09 0.04 7.58 -51.93 -0.39 -0.35 16 12 C -0.13 0.06 5.60 -26.73 -0.15 -0.09 16 13 C -0.11 0.09 4.94 -26.73 -0.13 -0.04 16 14 C -0.09 0.16 2.43 -90.62 -0.22 -0.06 16 15 H 0.08 -0.05 8.14 -51.93 -0.42 -0.48 16 16 C 0.08 -0.14 6.43 37.16 0.24 0.10 16 17 O -0.57 0.02 13.19 -35.23 -0.46 -0.45 16 18 C -0.12 0.40 5.03 -26.73 -0.13 0.27 16 19 C -0.13 0.39 5.61 -26.74 -0.15 0.24 16 20 C -0.12 0.00 8.54 -39.46 -0.34 -0.34 16 21 C -0.03 -0.04 6.85 -79.95 -0.55 -0.59 16 22 N 0.03 0.14 4.45 33.96 0.15 0.29 16 23 O -0.17 -0.85 18.44 -29.46 -0.54 -1.39 16 24 O -0.13 -0.70 14.62 -35.97 -0.53 -1.23 16 25 C -0.04 0.00 5.26 -104.61 -0.55 -0.55 16 26 C -0.07 0.01 1.74 36.01 0.06 0.07 16 27 O -0.52 -0.19 11.80 -55.48 -0.65 -0.85 16 28 Si 0.67 -1.46 29.91 -169.99 -5.09 -6.54 16 29 C -0.18 0.33 7.64 -39.46 -0.30 0.03 16 30 H 0.07 -0.42 7.65 -51.93 -0.40 -0.82 16 31 H 0.11 -0.58 8.14 -51.93 -0.42 -1.00 16 32 H 0.06 -0.34 7.68 -51.93 -0.40 -0.74 16 33 H 0.10 -0.40 7.67 -51.93 -0.40 -0.79 16 34 H 0.10 -0.40 7.66 -51.93 -0.40 -0.80 16 35 H 0.40 -1.86 6.87 -40.82 -0.28 -2.14 16 36 H 0.08 -0.06 8.14 -51.93 -0.42 -0.48 16 37 H 0.07 0.11 8.14 -51.93 -0.42 -0.31 16 38 H 0.06 -0.07 7.60 -51.93 -0.39 -0.46 16 39 H 0.07 0.07 7.82 -51.93 -0.41 -0.34 16 40 H 0.04 -0.11 8.14 -51.93 -0.42 -0.54 16 41 H 0.05 -0.11 8.14 -51.93 -0.42 -0.53 16 42 H 0.38 -1.50 9.12 45.56 0.42 -1.08 16 43 H 0.06 -0.28 6.51 -51.93 -0.34 -0.62 16 44 H 0.07 -0.27 8.14 -51.93 -0.42 -0.69 16 45 H 0.07 -0.25 8.14 -51.93 -0.42 -0.68 16 46 H 0.08 -0.26 8.14 -51.93 -0.42 -0.69 16 47 H 0.17 -0.32 5.85 -52.49 -0.31 -0.63 16 48 H 0.14 0.23 6.07 -51.93 -0.32 -0.09 16 49 H 0.37 -1.56 8.70 45.56 0.40 -1.16 16 50 H -0.25 0.04 7.11 56.52 0.40 0.44 16 51 H -0.24 -0.29 7.11 56.52 0.40 0.11 16 52 H 0.16 -0.80 3.37 -52.49 -0.18 -0.98 16 LS Contribution 419.33 15.07 6.32 6.32 Total: 0.00 -12.97 419.33 -10.30 -23.26 By element: Atomic # 1 Polarization: -9.44 SS G_CDS: -6.39 Total: -15.84 kcal Atomic # 6 Polarization: 1.41 SS G_CDS: -1.84 Total: -0.43 kcal Atomic # 7 Polarization: 1.60 SS G_CDS: -0.08 Total: 1.53 kcal Atomic # 8 Polarization: -5.08 SS G_CDS: -3.22 Total: -8.30 kcal Atomic # 14 Polarization: -1.46 SS G_CDS: -5.09 Total: -6.54 kcal Total LS contribution 6.32 Total: 6.32 kcal Total: -12.97 -10.30 -23.26 kcal The number of atoms in the molecule is 52 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_7207534_4549636.mol2 52 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 -131.067 kcal (2) G-P(sol) polarization free energy of solvation -12.965 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -144.032 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.297 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -23.262 kcal (6) G-S(sol) free energy of system = (1) + (5) -154.329 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.45 seconds