Wall clock time and date at job start Sat Apr 11 2020 06:11:25 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 O 1.42909 * 1 3 3 C 1.42903 * 113.99516 * 2 1 4 4 H 1.09002 * 109.47382 * 30.00095 * 3 2 1 5 5 C 1.50699 * 109.47184 * 270.00097 * 3 2 1 6 6 O 1.21286 * 119.99722 * 355.00184 * 5 3 2 7 7 N 1.34777 * 120.00178 * 175.00129 * 5 3 2 8 8 C 1.46923 * 120.62840 * 359.72281 * 7 5 3 9 9 C 1.52757 * 109.00654 * 233.58299 * 8 7 5 10 10 C 1.53041 * 109.38372 * 305.58507 * 9 8 7 11 11 O 1.42897 * 109.45251 * 301.22846 * 10 9 8 12 12 C 1.52998 * 109.46333 * 181.25916 * 10 9 8 13 13 N 1.46508 * 109.46997 * 59.93294 * 12 10 9 14 14 C 1.36932 * 119.99940 * 180.02562 * 13 12 10 15 15 H 1.08002 * 120.00478 * 359.97438 * 14 13 12 16 16 C 1.38817 * 119.99870 * 180.02562 * 14 13 12 17 17 N 1.31621 * 119.99986 * 359.97438 * 16 14 13 18 18 Si 1.86800 * 120.00015 * 180.02562 * 16 14 13 19 19 H 1.48499 * 109.47326 * 359.97438 * 18 16 14 20 20 H 1.48500 * 109.47349 * 119.99909 * 18 16 14 21 21 H 1.48507 * 109.46833 * 239.99864 * 18 16 14 22 22 C 1.53039 * 109.53557 * 61.24052 * 10 9 8 23 23 C 1.46926 * 120.63340 * 179.97438 * 7 5 3 24 24 C 1.53000 * 109.46726 * 150.00349 * 3 2 1 25 25 C 1.54265 * 110.03396 * 57.90632 * 24 3 2 26 26 C 1.54967 * 104.15866 * 217.13439 * 25 24 3 27 27 C 1.54888 * 102.77697 * 37.88980 * 26 25 24 28 28 C 1.53875 * 110.03278 * 300.68659 * 24 3 2 29 29 H 1.08996 * 109.46835 * 299.99639 * 1 2 3 30 30 H 1.08994 * 109.47272 * 60.00221 * 1 2 3 31 31 H 1.09002 * 109.46835 * 179.97438 * 1 2 3 32 32 H 1.09003 * 109.58636 * 353.41640 * 8 7 5 33 33 H 1.09003 * 109.59035 * 113.83934 * 8 7 5 34 34 H 1.09010 * 109.56751 * 185.55358 * 9 8 7 35 35 H 1.09001 * 109.36341 * 65.50029 * 9 8 7 36 36 H 0.96704 * 114.00002 * 300.06536 * 11 10 9 37 37 H 1.08998 * 109.47763 * 179.97438 * 12 10 9 38 38 H 1.09003 * 109.47533 * 299.93849 * 12 10 9 39 39 H 0.97002 * 119.99498 * 0.02562 * 13 12 10 40 40 H 0.96999 * 119.99832 * 179.97438 * 17 16 14 41 41 H 1.08999 * 109.49675 * 178.68077 * 22 10 9 42 42 H 1.09004 * 109.49707 * 58.58621 * 22 10 9 43 43 H 1.08998 * 109.58990 * 246.16374 * 23 7 5 44 44 H 1.09007 * 109.58572 * 6.58185 * 23 7 5 45 45 H 1.09003 * 110.01105 * 179.30115 * 24 3 2 46 46 H 1.08993 * 110.48454 * 335.78064 * 25 24 3 47 47 H 1.09003 * 110.48159 * 98.43035 * 25 24 3 48 48 H 1.09002 * 110.72287 * 279.57569 * 26 25 24 49 49 H 1.09001 * 110.76569 * 156.22351 * 26 25 24 50 50 H 1.09001 * 110.48631 * 203.40754 * 27 26 25 51 51 H 1.08997 * 110.60280 * 80.81710 * 27 26 25 52 52 H 1.08999 * 110.03490 * 238.57809 * 28 24 3 53 53 H 1.09004 * 110.02826 * 0.02562 * 28 24 3 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 2.0102 1.3055 0.0000 4 1 1.3449 1.9994 0.5138 5 6 2.2145 1.7645 -1.4208 6 8 1.9791 1.0106 -2.3413 7 7 2.6587 3.0126 -1.6686 8 6 2.9424 3.9391 -0.5642 9 6 2.1721 5.2381 -0.7943 10 6 2.5101 5.7902 -2.1810 11 8 3.9176 6.0196 -2.2718 12 6 1.7637 7.1076 -2.4010 13 7 2.1675 8.0745 -1.3771 14 6 1.6267 9.3325 -1.3721 15 1 0.9028 9.6121 -2.1233 16 6 2.0097 10.2488 -0.4022 17 7 2.8922 9.9083 0.5129 18 14 1.2714 11.9647 -0.3950 19 1 0.3107 12.0950 -1.5199 20 1 0.5634 12.1936 0.8901 21 1 2.3536 12.9698 -0.5500 22 6 2.0881 4.7804 -3.2507 23 6 2.8633 3.4743 -3.0483 24 6 3.3589 1.2633 0.7212 25 6 4.2934 0.2455 0.0352 26 6 5.0702 -0.4057 1.2074 27 6 3.9917 -0.5165 2.3135 28 6 3.1674 0.7795 2.1693 29 1 -0.3633 0.5138 0.8900 30 1 -0.3633 0.5138 -0.8899 31 1 -0.3633 -1.0277 -0.0005 32 1 2.6277 3.4914 0.3785 33 1 4.0109 4.1521 -0.5312 34 1 2.4515 5.9678 -0.0342 35 1 1.1021 5.0395 -0.7326 36 1 4.2560 6.6508 -1.6220 37 1 2.0047 7.5013 -3.3885 38 1 0.6900 6.9328 -2.3323 39 1 2.8180 7.8235 -0.7027 40 1 3.1601 10.5487 1.1904 41 1 2.3077 5.1843 -4.2391 42 1 1.0189 4.5860 -3.1660 43 1 3.9252 3.6486 -3.2217 44 1 2.4964 2.7198 -3.7443 45 1 3.8161 2.2528 0.7156 46 1 3.7123 -0.5049 -0.5007 47 1 4.9794 0.7539 -0.6423 48 1 5.8902 0.2357 1.5302 49 1 5.4380 -1.3926 0.9263 50 1 4.4581 -0.5644 3.2976 51 1 3.3612 -1.3901 2.1483 52 1 3.5324 1.5337 2.8664 53 1 2.1136 0.5743 2.3581 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 ZINC001733889793.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 06:11:25 Heat of formation + Delta-G solvation = -125.825036 kcal Electronic energy + Delta-G solvation = -32126.695935 eV Core-core repulsion = 27998.277493 eV Total energy + Delta-G solvation = -4128.418442 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -40.87502 -39.17556 -37.92464 -36.91414 -35.49128 -34.05317 -32.37099 -31.54098 -30.54017 -30.24957 -28.85937 -27.02582 -26.79223 -25.43339 -23.68118 -23.41933 -21.86716 -20.91157 -20.37786 -19.96809 -19.17803 -17.58550 -17.40644 -16.93403 -16.23141 -15.95967 -15.72923 -15.42371 -15.01754 -14.87909 -14.61038 -14.33436 -14.28620 -14.06478 -13.49058 -13.43951 -13.38721 -13.21924 -12.99730 -12.88210 -12.50002 -12.36339 -11.94263 -11.78771 -11.56641 -11.53348 -11.27951 -11.18506 -11.15047 -11.08669 -11.05230 -10.89921 -10.86304 -10.76597 -10.65921 -10.52083 -10.32407 -10.14428 -9.73802 -9.47679 -9.24890 -8.99880 -8.56793 -7.06054 -5.88767 -3.17693 2.54681 2.86263 3.36697 3.43303 3.44856 3.55235 4.21018 4.40618 4.44604 4.47805 4.51557 4.57697 4.75307 4.82187 4.96883 5.00473 5.08243 5.13145 5.15674 5.24512 5.31143 5.36311 5.38839 5.42904 5.46836 5.49248 5.53384 5.55067 5.58356 5.60056 5.72571 5.77295 5.78563 5.84864 5.92688 5.95203 5.99591 6.06922 6.07983 6.13674 6.27201 6.28602 6.33757 6.52703 6.63072 6.65918 6.83154 7.39044 7.61226 8.03855 8.14682 8.30332 9.41203 9.94377 10.28680 11.34039 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015439 B = 0.002750 C = 0.002602 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1813.197169 B =10178.063527 C =10759.455800 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.029 3.971 2 O -0.351 6.351 3 C 0.080 3.920 4 H 0.084 0.916 5 C 0.494 3.506 6 O -0.534 6.534 7 N -0.603 5.603 8 C 0.106 3.894 9 C -0.159 4.159 10 C 0.131 3.869 11 O -0.560 6.560 12 C 0.128 3.872 13 N -0.729 5.729 14 C -0.240 4.240 15 H 0.071 0.929 16 C -0.012 4.012 17 N -0.934 5.934 18 Si 0.908 3.092 19 H -0.280 1.280 20 H -0.291 1.291 21 H -0.291 1.291 22 C -0.117 4.117 23 C 0.118 3.882 24 C -0.093 4.093 25 C -0.117 4.117 26 C -0.123 4.123 27 C -0.119 4.119 28 C -0.114 4.114 29 H 0.041 0.959 30 H 0.044 0.956 31 H 0.088 0.912 32 H 0.082 0.918 33 H 0.078 0.922 34 H 0.093 0.907 35 H 0.072 0.928 36 H 0.383 0.617 37 H 0.029 0.971 38 H 0.025 0.975 39 H 0.380 0.620 40 H 0.256 0.744 41 H 0.082 0.918 42 H 0.076 0.924 43 H 0.076 0.924 44 H 0.087 0.913 45 H 0.095 0.905 46 H 0.080 0.920 47 H 0.062 0.938 48 H 0.065 0.935 49 H 0.064 0.936 50 H 0.061 0.939 51 H 0.067 0.933 52 H 0.066 0.934 53 H 0.067 0.933 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.572 -20.505 2.227 20.633 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 -0.068 4.068 2 O -0.268 6.268 3 C 0.018 3.982 4 H 0.102 0.898 5 C 0.282 3.718 6 O -0.411 6.411 7 N -0.338 5.338 8 C -0.016 4.016 9 C -0.197 4.197 10 C 0.090 3.910 11 O -0.367 6.367 12 C 0.000 4.000 13 N -0.375 5.375 14 C -0.371 4.371 15 H 0.089 0.911 16 C -0.208 4.208 17 N -0.582 5.582 18 Si 0.739 3.261 19 H -0.206 1.206 20 H -0.218 1.218 21 H -0.218 1.218 22 C -0.155 4.155 23 C -0.004 4.004 24 C -0.112 4.112 25 C -0.155 4.155 26 C -0.160 4.160 27 C -0.157 4.157 28 C -0.152 4.152 29 H 0.060 0.940 30 H 0.062 0.938 31 H 0.107 0.893 32 H 0.101 0.899 33 H 0.096 0.904 34 H 0.111 0.889 35 H 0.091 0.909 36 H 0.232 0.768 37 H 0.047 0.953 38 H 0.043 0.957 39 H 0.215 0.785 40 H 0.065 0.935 41 H 0.100 0.900 42 H 0.094 0.906 43 H 0.094 0.906 44 H 0.105 0.895 45 H 0.113 0.887 46 H 0.098 0.902 47 H 0.081 0.919 48 H 0.084 0.916 49 H 0.083 0.917 50 H 0.080 0.920 51 H 0.085 0.915 52 H 0.085 0.915 53 H 0.086 0.914 Dipole moment (debyes) X Y Z Total from point charges 0.386 -21.381 1.203 21.418 hybrid contribution -0.498 1.860 0.745 2.065 sum -0.112 -19.521 1.948 19.618 Atomic orbital electron populations 1.22857 0.80876 1.03046 1.00024 1.87971 1.19670 1.24801 1.94366 1.22066 0.97002 0.86617 0.92467 0.89789 1.21279 0.76991 0.81455 0.92108 1.90675 1.50834 1.53437 1.46108 1.48164 1.65455 1.12364 1.07837 1.21837 1.00993 0.89918 0.88896 1.22495 1.01081 0.96822 0.99320 1.21270 0.82001 0.94325 0.93437 1.86378 1.21653 1.67051 1.61647 1.21318 0.96407 0.88650 0.93577 1.42287 1.51719 1.10794 1.32701 1.19243 1.18910 0.88704 1.10238 0.91106 1.24728 0.99578 0.98548 0.97931 1.69636 1.35371 1.35059 1.18152 0.86106 0.78280 0.84470 0.77249 1.20568 1.21822 1.21783 1.21854 1.00100 0.94196 0.99359 1.21522 1.00826 0.95581 0.82467 1.22117 0.92588 1.01237 0.95242 1.22378 0.97405 0.98228 0.97483 1.22481 0.97605 1.00487 0.95463 1.22294 0.97145 0.97871 0.98387 1.22115 1.00829 0.97523 0.94732 0.94004 0.93761 0.89322 0.89945 0.90356 0.88890 0.90937 0.76818 0.95327 0.95713 0.78548 0.93457 0.89956 0.90588 0.90586 0.89471 0.88655 0.90167 0.91945 0.91635 0.91719 0.91983 0.91457 0.91510 0.91415 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 0.03 0.27 10.81 101.05 1.09 1.36 16 2 O -0.35 -4.17 8.34 -55.09 -0.46 -4.63 16 3 C 0.08 0.89 1.22 -27.88 -0.03 0.85 16 4 H 0.08 0.82 7.06 -51.93 -0.37 0.45 16 5 C 0.49 6.76 6.45 -10.99 -0.07 6.69 16 6 O -0.53 -9.11 15.92 -14.31 -0.23 -9.33 16 7 N -0.60 -7.68 2.98 -173.01 -0.52 -8.20 16 8 C 0.11 1.23 4.70 -3.94 -0.02 1.21 16 9 C -0.16 -2.19 4.91 -26.83 -0.13 -2.32 16 10 C 0.13 1.99 0.71 -90.58 -0.06 1.92 16 11 O -0.56 -8.86 11.70 -35.23 -0.41 -9.28 16 12 C 0.13 2.44 5.40 -4.04 -0.02 2.42 16 13 N -0.73 -16.93 5.07 -59.90 -0.30 -17.23 16 14 C -0.24 -6.41 9.99 -15.06 -0.15 -6.56 16 15 H 0.07 1.87 7.83 -52.49 -0.41 1.46 16 16 C -0.01 -0.33 5.50 -17.43 -0.10 -0.42 16 17 N -0.93 -26.59 13.06 55.49 0.72 -25.87 16 18 Si 0.91 21.71 29.55 -169.99 -5.02 16.69 16 19 H -0.28 -6.55 7.11 56.52 0.40 -6.15 16 20 H -0.29 -7.00 7.11 56.52 0.40 -6.60 16 21 H -0.29 -7.02 7.11 56.52 0.40 -6.61 16 22 C -0.12 -1.57 5.11 -26.59 -0.14 -1.71 16 23 C 0.12 1.56 6.20 -3.69 -0.02 1.54 16 24 C -0.09 -0.91 2.38 -89.50 -0.21 -1.12 16 25 C -0.12 -1.23 5.65 -25.03 -0.14 -1.37 16 26 C -0.12 -1.06 6.91 -24.70 -0.17 -1.23 16 27 C -0.12 -0.98 6.83 -25.07 -0.17 -1.15 16 28 C -0.11 -0.97 6.22 -25.61 -0.16 -1.13 16 29 H 0.04 0.32 8.08 -51.93 -0.42 -0.10 16 30 H 0.04 0.47 8.14 -51.93 -0.42 0.04 16 31 H 0.09 0.70 8.14 -51.93 -0.42 0.28 16 32 H 0.08 0.80 4.70 -51.93 -0.24 0.56 16 33 H 0.08 0.90 7.81 -51.93 -0.41 0.49 16 34 H 0.09 1.43 6.82 -51.92 -0.35 1.08 16 35 H 0.07 1.01 8.14 -51.93 -0.42 0.59 16 36 H 0.38 6.06 7.85 45.56 0.36 6.42 16 37 H 0.03 0.58 8.14 -51.93 -0.42 0.16 16 38 H 0.03 0.48 8.14 -51.93 -0.42 0.06 16 39 H 0.38 8.91 5.58 -40.82 -0.23 8.68 16 40 H 0.26 7.09 8.31 -40.82 -0.34 6.75 16 41 H 0.08 1.08 8.14 -51.93 -0.42 0.65 16 42 H 0.08 1.00 8.14 -51.93 -0.42 0.58 16 43 H 0.08 1.03 7.81 -51.93 -0.41 0.62 16 44 H 0.09 1.20 7.01 -51.93 -0.36 0.84 16 45 H 0.10 0.88 5.49 -51.93 -0.29 0.59 16 46 H 0.08 1.01 7.15 -51.93 -0.37 0.64 16 47 H 0.06 0.68 8.14 -51.93 -0.42 0.26 16 48 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 49 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 50 H 0.06 0.44 8.14 -51.93 -0.42 0.02 16 51 H 0.07 0.58 8.14 -51.93 -0.42 0.16 16 52 H 0.07 0.51 8.14 -51.93 -0.42 0.08 16 53 H 0.07 0.58 7.40 -51.93 -0.38 0.19 16 LS Contribution 401.67 15.07 6.05 6.05 Total: -1.00 -31.22 401.67 -9.19 -40.41 By element: Atomic # 1 Polarization: 20.91 SS G_CDS: -8.51 Total: 12.40 kcal Atomic # 6 Polarization: -0.50 SS G_CDS: -0.51 Total: -1.01 kcal Atomic # 7 Polarization: -51.21 SS G_CDS: -0.09 Total: -51.30 kcal Atomic # 8 Polarization: -22.14 SS G_CDS: -1.10 Total: -23.24 kcal Atomic # 14 Polarization: 21.71 SS G_CDS: -5.02 Total: 16.69 kcal Total LS contribution 6.05 Total: 6.05 kcal Total: -31.22 -9.19 -40.41 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. ZINC001733889793.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 -85.418 kcal (2) G-P(sol) polarization free energy of solvation -31.222 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -116.639 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.186 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.407 kcal (6) G-S(sol) free energy of system = (1) + (5) -125.825 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds