Wall clock time and date at job start Sat Apr 11 2020 06:11:33 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 1.52997 * 1 3 3 C 1.53000 * 109.47253 * 2 1 4 4 C 1.53003 * 109.47203 * 120.00269 * 2 1 3 5 5 H 1.08997 * 109.47679 * 300.02166 * 4 2 1 6 6 C 1.53094 * 109.47724 * 180.02562 * 4 2 1 7 7 C 1.53178 * 109.16041 * 182.39790 * 6 4 2 8 8 H 1.08998 * 109.54788 * 176.93556 * 7 6 4 9 9 C 1.53001 * 109.54206 * 297.11292 * 7 6 4 10 10 C 1.50702 * 109.47125 * 185.00129 * 9 7 6 11 11 O 1.21275 * 119.99952 * 359.97438 * 10 9 7 12 12 N 1.34774 * 119.99914 * 179.97438 * 10 9 7 13 13 C 1.46496 * 120.00247 * 179.97438 * 12 10 9 14 14 C 1.53000 * 109.47482 * 180.02562 * 13 12 10 15 15 O 1.42899 * 113.28012 * 51.94173 * 14 13 12 16 16 C 1.53500 * 114.20404 * 185.00304 * 14 13 12 17 17 N 1.47061 * 87.98486 * 87.71933 * 16 14 13 18 18 C 1.36943 * 136.05729 * 207.07634 * 17 16 14 19 19 H 1.08004 * 119.99922 * 6.79161 * 18 17 16 20 20 C 1.38808 * 119.99969 * 186.78396 * 18 17 16 21 21 N 1.31618 * 119.99632 * 172.28195 * 20 18 17 22 22 Si 1.86798 * 120.00152 * 352.28246 * 20 18 17 23 23 H 1.48497 * 109.47240 * 55.35716 * 22 20 18 24 24 H 1.48498 * 109.47102 * 295.35486 * 22 20 18 25 25 H 1.48504 * 109.46987 * 175.35538 * 22 20 18 26 26 C 1.47062 * 87.88530 * 27.33997 * 17 16 14 27 27 C 1.53182 * 109.03988 * 56.97777 * 7 6 4 28 28 C 1.53098 * 109.15982 * 303.02067 * 27 7 6 29 29 O 1.42899 * 109.48941 * 60.05473 * 4 2 1 30 30 H 1.09010 * 109.46956 * 179.97438 * 1 2 3 31 31 H 1.08998 * 109.47541 * 299.99601 * 1 2 3 32 32 H 1.09000 * 109.47169 * 60.00084 * 1 2 3 33 33 H 1.09006 * 109.47181 * 239.99861 * 2 1 3 34 34 H 1.08996 * 109.47359 * 179.97438 * 3 2 1 35 35 H 1.09002 * 109.47257 * 300.00492 * 3 2 1 36 36 H 1.08998 * 109.46522 * 59.99774 * 3 2 1 37 37 H 1.08990 * 109.52423 * 62.49152 * 6 4 2 38 38 H 1.09000 * 109.51960 * 302.29901 * 6 4 2 39 39 H 1.09003 * 109.47231 * 64.99860 * 9 7 6 40 40 H 1.08998 * 109.46984 * 304.99913 * 9 7 6 41 41 H 0.96999 * 120.00232 * 0.02562 * 12 10 9 42 42 H 1.09003 * 109.46850 * 60.00299 * 13 12 10 43 43 H 1.09006 * 109.47625 * 300.00837 * 13 12 10 44 44 H 0.96704 * 113.99708 * 313.06161 * 15 14 13 45 45 H 1.08998 * 113.46994 * 332.93300 * 16 14 13 46 46 H 1.09006 * 113.51688 * 202.51067 * 16 14 13 47 47 H 0.97003 * 120.00461 * 4.86280 * 21 20 18 48 48 H 1.09004 * 113.47112 * 87.44379 * 26 17 16 49 49 H 1.09001 * 113.46858 * 217.87714 * 26 17 16 50 50 H 1.08999 * 109.52277 * 62.92537 * 27 7 6 51 51 H 1.08998 * 109.52225 * 183.11724 * 27 7 6 52 52 H 1.08997 * 109.48007 * 297.62526 * 28 27 7 53 53 H 1.08998 * 109.47536 * 177.58771 * 28 27 7 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 2.0400 1.4425 0.0000 4 6 2.0400 -0.7213 1.2492 5 1 1.6764 -0.2078 2.1393 6 6 3.5709 -0.7208 1.2497 7 6 4.0736 -1.4962 2.4714 8 1 5.1622 -1.5464 2.4489 9 6 3.6202 -0.7875 3.7493 10 6 4.2172 -1.4807 4.9469 11 8 4.9342 -2.4466 4.7934 12 7 3.9543 -1.0271 6.1885 13 6 4.5341 -1.7012 7.3527 14 6 4.0809 -0.9924 8.6307 15 8 2.6642 -0.8238 8.7109 16 6 4.7236 -1.5368 9.9140 17 7 5.8324 -0.5957 9.6960 18 6 7.1616 -0.5456 10.0216 19 1 7.6371 -1.3986 10.4829 20 6 7.8978 0.6015 9.7587 21 7 9.1310 0.7088 10.2061 22 14 7.1384 1.9926 8.7700 23 1 5.8689 2.4198 9.4110 24 1 6.8621 1.5243 7.3882 25 1 8.0806 3.1396 8.7250 26 6 4.8841 0.2711 8.9804 27 6 3.4927 -2.9132 2.4377 28 6 1.9647 -2.8288 2.3913 29 8 1.5649 -2.0690 1.2489 30 1 -0.3633 -1.0278 -0.0005 31 1 -0.3634 0.5137 0.8900 32 1 -0.3633 0.5138 -0.8900 33 1 1.8933 -0.5139 -0.8900 34 1 3.1300 1.4425 0.0005 35 1 1.6766 1.9564 -0.8899 36 1 1.6766 1.9562 0.8900 37 1 3.9349 0.3055 1.2946 38 1 3.9356 -1.1981 0.3401 39 1 2.5327 -0.8189 3.8160 40 1 3.9530 0.2502 3.7269 41 1 3.3805 -0.2547 6.3113 42 1 5.6217 -1.6704 7.2860 43 1 4.2008 -2.7387 7.3753 44 1 2.2625 -0.4808 7.9009 45 1 5.0211 -2.5828 9.8405 46 1 4.1452 -1.3255 10.8135 47 1 9.5499 -0.0402 10.6581 48 1 4.3476 0.9597 9.6332 49 1 5.3185 0.7654 8.1114 50 1 3.8557 -3.4347 1.5521 51 1 3.8006 -3.4544 3.3322 52 1 1.5999 -2.3432 3.2963 53 1 1.5472 -3.8334 2.3240 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 ZINC001278923173.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 06:11:33 Heat of formation + Delta-G solvation = -85.768016 kcal Electronic energy + Delta-G solvation = -31288.988505 eV Core-core repulsion = 27162.307066 eV Total energy + Delta-G solvation = -4126.681439 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.13 seconds Orbital eigenvalues (eV) -40.75899 -39.82764 -38.82580 -35.79182 -35.45164 -34.74681 -34.16100 -32.33114 -30.37858 -29.65072 -28.14065 -27.41512 -25.99137 -25.59358 -24.57792 -23.84435 -21.88364 -20.88377 -20.59507 -19.56131 -19.09697 -17.71115 -17.52271 -16.85639 -16.67063 -16.35912 -15.96065 -15.75268 -15.16249 -14.86841 -14.69241 -14.49126 -14.36734 -13.96981 -13.82561 -13.70438 -13.44221 -13.21687 -13.16864 -12.93231 -12.65286 -12.49745 -12.27276 -12.15032 -11.96106 -11.76454 -11.66302 -11.55252 -11.41822 -11.32756 -11.12704 -11.09887 -10.76871 -10.68045 -10.43000 -10.34220 -10.18203 -9.81885 -9.50084 -9.29744 -9.15983 -8.95547 -8.94522 -7.26765 -6.40294 -3.32525 2.60220 3.06146 3.30733 3.35481 3.47312 3.56495 4.18654 4.25541 4.41905 4.48290 4.51006 4.59802 4.61876 4.71097 4.71974 4.76427 4.91566 4.92208 4.93803 4.97073 5.04436 5.13422 5.24787 5.30220 5.32270 5.37731 5.41989 5.46148 5.51409 5.57314 5.63322 5.68793 5.75509 5.81556 5.89193 5.96587 5.97821 6.04030 6.04576 6.05235 6.10545 6.18266 6.19961 6.23156 6.39248 6.54697 6.95673 7.01954 7.38523 7.70205 8.16152 8.18318 8.89140 9.40359 10.23829 11.12510 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015504 B = 0.002628 C = 0.002513 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1805.495863 B =10651.823335 C =11141.048413 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.144 4.144 2 C -0.089 4.089 3 C -0.149 4.149 4 C 0.094 3.906 5 H 0.058 0.942 6 C -0.147 4.147 7 C -0.073 4.073 8 H 0.085 0.915 9 C -0.144 4.144 10 C 0.513 3.487 11 O -0.532 6.532 12 N -0.731 5.731 13 C 0.124 3.876 14 C 0.065 3.935 15 O -0.546 6.546 16 C 0.144 3.856 17 N -0.619 5.619 18 C -0.305 4.305 19 H 0.086 0.914 20 C -0.023 4.023 21 N -0.930 5.930 22 Si 1.071 2.929 23 H -0.287 1.287 24 H -0.294 1.294 25 H -0.294 1.294 26 C 0.080 3.920 27 C -0.156 4.156 28 C 0.060 3.940 29 O -0.378 6.378 30 H 0.062 0.938 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.076 0.924 34 H 0.060 0.940 35 H 0.059 0.941 36 H 0.057 0.943 37 H 0.077 0.923 38 H 0.074 0.926 39 H 0.093 0.907 40 H 0.096 0.904 41 H 0.395 0.605 42 H 0.094 0.906 43 H 0.075 0.925 44 H 0.364 0.636 45 H 0.054 0.946 46 H 0.053 0.947 47 H 0.262 0.738 48 H 0.055 0.945 49 H 0.052 0.948 50 H 0.069 0.931 51 H 0.093 0.907 52 H 0.047 0.953 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -19.047 -1.106 -20.535 28.030 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 -0.201 4.201 2 C -0.107 4.107 3 C -0.207 4.207 4 C 0.036 3.964 5 H 0.076 0.924 6 C -0.185 4.185 7 C -0.091 4.091 8 H 0.103 0.897 9 C -0.184 4.184 10 C 0.300 3.700 11 O -0.409 6.409 12 N -0.384 5.384 13 C 0.000 4.000 14 C 0.022 3.978 15 O -0.349 6.349 16 C 0.016 3.984 17 N -0.350 5.350 18 C -0.431 4.431 19 H 0.104 0.896 20 C -0.222 4.222 21 N -0.572 5.572 22 Si 0.903 3.097 23 H -0.214 1.214 24 H -0.223 1.223 25 H -0.221 1.221 26 C -0.046 4.046 27 C -0.193 4.193 28 C -0.016 4.016 29 O -0.298 6.298 30 H 0.082 0.918 31 H 0.071 0.929 32 H 0.071 0.929 33 H 0.094 0.906 34 H 0.079 0.921 35 H 0.078 0.922 36 H 0.076 0.924 37 H 0.095 0.905 38 H 0.093 0.907 39 H 0.111 0.889 40 H 0.114 0.886 41 H 0.229 0.771 42 H 0.112 0.888 43 H 0.093 0.907 44 H 0.210 0.790 45 H 0.073 0.927 46 H 0.071 0.929 47 H 0.073 0.927 48 H 0.073 0.927 49 H 0.069 0.931 50 H 0.088 0.912 51 H 0.111 0.889 52 H 0.065 0.935 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges -17.975 -0.588 -20.657 27.389 hybrid contribution -0.407 -0.794 0.529 1.037 sum -18.382 -1.382 -20.129 27.294 Atomic orbital electron populations 1.21770 0.94656 1.02377 1.01337 1.21104 0.96499 0.95646 0.97477 1.21889 1.01441 0.95148 1.02195 1.22163 0.92869 0.83386 0.97994 0.92438 1.22332 0.96210 1.01230 0.98705 1.20924 1.01575 0.94629 0.92020 0.89679 1.21898 1.02155 1.01156 0.93214 1.20591 0.80969 0.84402 0.84041 1.90689 1.37178 1.27202 1.85785 1.45987 1.52137 1.33865 1.06361 1.21562 1.00580 0.95848 0.81988 1.23729 0.79389 0.98507 0.96148 1.86614 1.20294 1.87871 1.40153 1.22274 0.87771 0.95306 0.93010 1.45678 1.03686 1.20357 1.65248 1.20096 0.80589 1.02576 1.39815 0.89591 1.25736 0.96667 0.99255 1.00521 1.70914 1.13955 1.32393 1.39928 0.83690 0.74401 0.76098 0.75483 1.21352 1.22284 1.22080 1.23449 0.90924 0.94092 0.96165 1.22318 0.95558 0.97189 1.04284 1.22622 0.94643 0.96086 0.88290 1.87899 1.74629 1.23198 1.44034 0.91850 0.92927 0.92891 0.90556 0.92080 0.92172 0.92440 0.90490 0.90683 0.88900 0.88576 0.77147 0.88755 0.90709 0.78965 0.92740 0.92927 0.92735 0.92729 0.93053 0.91195 0.88852 0.93461 0.89027 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 -0.14 -0.97 9.05 37.16 0.34 -0.63 16 2 C -0.09 -0.61 2.72 -90.62 -0.25 -0.86 16 3 C -0.15 -0.84 8.84 37.16 0.33 -0.52 16 4 C 0.09 0.73 1.95 -26.68 -0.05 0.68 16 5 H 0.06 0.42 6.72 -51.93 -0.35 0.08 16 6 C -0.15 -1.15 4.49 -26.59 -0.12 -1.27 16 7 C -0.07 -0.69 2.33 -90.43 -0.21 -0.91 16 8 H 0.08 0.96 7.95 -51.93 -0.41 0.55 16 9 C -0.14 -1.29 4.60 -27.88 -0.13 -1.42 16 10 C 0.51 6.62 7.53 -10.99 -0.08 6.53 16 11 O -0.53 -8.90 14.01 5.56 0.08 -8.82 16 12 N -0.73 -9.03 5.32 -60.29 -0.32 -9.35 16 13 C 0.12 1.96 5.33 -4.04 -0.02 1.94 16 14 C 0.06 1.08 1.73 -89.97 -0.16 0.92 16 15 O -0.55 -7.68 13.55 -35.23 -0.48 -8.16 16 16 C 0.14 2.83 8.10 -8.52 -0.07 2.76 16 17 N -0.62 -14.93 3.48 -184.61 -0.64 -15.57 16 18 C -0.31 -8.68 11.08 -15.06 -0.17 -8.85 16 19 H 0.09 2.57 8.05 -52.48 -0.42 2.15 16 20 C -0.02 -0.67 5.50 -17.43 -0.10 -0.76 16 21 N -0.93 -29.19 13.70 55.49 0.76 -28.43 16 22 Si 1.07 26.39 25.13 -169.99 -4.27 22.12 16 23 H -0.29 -6.55 6.13 56.52 0.35 -6.21 16 24 H -0.29 -6.84 6.64 56.52 0.38 -6.47 16 25 H -0.29 -7.38 7.11 56.52 0.40 -6.98 16 26 C 0.08 1.62 5.14 -8.39 -0.04 1.58 16 27 C -0.16 -1.57 5.41 -26.59 -0.14 -1.71 16 28 C 0.06 0.54 6.57 37.21 0.24 0.78 16 29 O -0.38 -3.64 9.74 -35.23 -0.34 -3.98 16 30 H 0.06 0.49 7.69 -51.92 -0.40 0.09 16 31 H 0.05 0.34 8.14 -51.93 -0.42 -0.09 16 32 H 0.05 0.31 8.14 -51.93 -0.42 -0.11 16 33 H 0.08 0.56 8.14 -51.93 -0.42 0.14 16 34 H 0.06 0.33 6.48 -51.93 -0.34 0.00 16 35 H 0.06 0.31 8.14 -51.93 -0.42 -0.12 16 36 H 0.06 0.31 8.14 -51.93 -0.42 -0.11 16 37 H 0.08 0.52 6.57 -51.93 -0.34 0.18 16 38 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 39 H 0.09 0.67 5.03 -51.93 -0.26 0.41 16 40 H 0.10 0.73 8.14 -51.93 -0.42 0.31 16 41 H 0.39 3.61 7.24 -40.82 -0.30 3.32 16 42 H 0.09 1.86 7.95 -51.93 -0.41 1.45 16 43 H 0.07 1.16 8.14 -51.93 -0.42 0.74 16 44 H 0.36 3.46 7.50 45.56 0.34 3.80 16 45 H 0.05 1.02 8.12 -51.93 -0.42 0.60 16 46 H 0.05 1.02 8.14 -51.93 -0.42 0.60 16 47 H 0.26 8.13 8.73 -40.82 -0.36 7.77 16 48 H 0.06 1.12 7.73 -51.93 -0.40 0.72 16 49 H 0.05 1.06 4.64 -51.93 -0.24 0.82 16 50 H 0.07 0.70 8.14 -51.93 -0.42 0.28 16 51 H 0.09 1.13 5.96 -51.93 -0.31 0.82 16 52 H 0.05 0.39 6.49 -51.93 -0.34 0.06 16 53 H 0.09 0.75 8.14 -51.93 -0.42 0.32 16 LS Contribution 397.58 15.07 5.99 5.99 Total: -1.00 -34.29 397.58 -8.33 -42.63 By element: Atomic # 1 Polarization: 13.79 SS G_CDS: -8.48 Total: 5.31 kcal Atomic # 6 Polarization: -1.10 SS G_CDS: -0.63 Total: -1.73 kcal Atomic # 7 Polarization: -53.15 SS G_CDS: -0.20 Total: -53.36 kcal Atomic # 8 Polarization: -20.22 SS G_CDS: -0.74 Total: -20.96 kcal Atomic # 14 Polarization: 26.39 SS G_CDS: -4.27 Total: 22.12 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -34.29 -8.33 -42.63 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. ZINC001278923173.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 -43.141 kcal (2) G-P(sol) polarization free energy of solvation -34.292 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -77.433 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.335 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.627 kcal (6) G-S(sol) free energy of system = (1) + (5) -85.768 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.13 seconds