Wall clock time and date at job start Sat Apr 11 2020 06:10:46 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 1.53001 * 1 3 3 H 1.08998 * 109.55774 * 2 1 4 4 C 1.53290 * 109.51302 * 239.87605 * 2 1 3 5 5 N 1.47150 * 108.43010 * 187.74527 * 4 2 1 6 6 C 1.34775 * 120.99670 * 230.54360 * 5 4 2 7 7 O 1.21585 * 120.00336 * 184.98429 * 6 5 4 8 8 N 1.34777 * 119.99889 * 4.98175 * 6 5 4 9 9 C 1.46497 * 120.00203 * 174.91872 * 8 6 5 10 10 C 1.53004 * 109.47292 * 180.02562 * 9 8 6 11 11 C 1.52997 * 109.46941 * 60.00140 * 10 9 8 12 12 C 1.53004 * 109.47046 * 299.99999 * 10 9 8 13 13 C 1.50706 * 109.47051 * 180.02562 * 10 9 8 14 14 H 1.08001 * 119.99725 * 359.97438 * 13 10 9 15 15 C 1.37876 * 119.99760 * 180.02562 * 13 10 9 16 16 N 1.31513 * 119.99984 * 359.97438 * 15 13 10 17 17 Si 1.86801 * 119.99775 * 179.97438 * 15 13 10 18 18 H 1.48505 * 109.47056 * 179.97438 * 17 15 13 19 19 H 1.48496 * 109.47231 * 299.99604 * 17 15 13 20 20 H 1.48493 * 109.47076 * 59.99747 * 17 15 13 21 21 C 1.47174 * 118.01131 * 50.80984 * 5 4 2 22 22 C 1.53600 * 108.15024 * 309.29324 * 21 5 4 23 23 C 1.53051 * 109.43515 * 172.48194 * 22 21 5 24 24 C 1.53121 * 109.16387 * 176.79506 * 23 22 21 25 25 O 1.42900 * 109.40793 * 302.54070 * 24 23 22 26 26 C 1.42906 * 114.12809 * 61.19065 * 25 24 23 27 27 C 1.53080 * 109.59587 * 292.24229 * 22 21 5 28 28 O 1.42846 * 109.36057 * 52.39215 * 22 21 5 29 29 H 1.09003 * 109.46748 * 180.12493 * 1 2 3 30 30 H 1.08995 * 109.46651 * 300.12484 * 1 2 3 31 31 H 1.08993 * 109.47019 * 60.12626 * 1 2 3 32 32 H 1.08997 * 109.67677 * 68.00682 * 4 2 1 33 33 H 1.09003 * 109.70067 * 307.49442 * 4 2 1 34 34 H 0.97000 * 119.99795 * 354.92331 * 8 6 5 35 35 H 1.09001 * 109.47412 * 60.00202 * 9 8 6 36 36 H 1.08998 * 109.47473 * 300.00603 * 9 8 6 37 37 H 1.09001 * 109.46906 * 179.97438 * 11 10 9 38 38 H 1.08997 * 109.47328 * 299.99842 * 11 10 9 39 39 H 1.08998 * 109.46865 * 60.00236 * 11 10 9 40 40 H 1.09000 * 109.47023 * 300.00186 * 12 10 9 41 41 H 1.09005 * 109.46947 * 60.00012 * 12 10 9 42 42 H 1.08994 * 109.47031 * 179.97438 * 12 10 9 43 43 H 0.97005 * 119.99722 * 179.97438 * 16 15 13 44 44 H 1.09001 * 109.68613 * 69.07023 * 21 5 4 45 45 H 1.09000 * 109.68799 * 189.62909 * 21 5 4 46 46 H 1.08995 * 109.52637 * 296.70285 * 23 22 21 47 47 H 1.09005 * 109.52432 * 56.89153 * 23 22 21 48 48 H 1.09003 * 109.48239 * 182.55941 * 24 23 22 49 49 H 1.09001 * 109.47872 * 62.52665 * 24 23 22 50 50 H 1.09001 * 109.48096 * 178.81691 * 26 25 24 51 51 H 1.09007 * 109.48471 * 58.76999 * 26 25 24 52 52 H 1.09002 * 109.52485 * 303.18690 * 27 22 21 53 53 H 1.09004 * 109.52340 * 63.31149 * 27 22 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 6 1.5300 0.0000 0.0000 3 1 1.8949 1.0271 0.0000 4 6 2.0420 -0.7251 -1.2497 5 7 3.5013 -0.8760 -1.1349 6 6 4.3187 -0.5036 -2.1396 7 8 5.5129 -0.7191 -2.0635 8 7 3.8125 0.1079 -3.2288 9 6 4.7113 0.6124 -4.2698 10 6 3.8876 1.2575 -5.3862 11 6 3.0703 2.4166 -4.8123 12 6 2.9423 0.2164 -5.9892 13 6 4.8122 1.7759 -6.4574 14 1 5.8806 1.6576 -6.3521 15 6 4.2943 2.4023 -7.5711 16 7 2.9934 2.5468 -7.6990 17 14 5.4405 3.0456 -8.8985 18 1 4.6410 3.6715 -9.9821 19 1 6.3582 4.0557 -8.3132 20 1 6.2334 1.9204 -9.4557 21 6 4.0410 -1.4514 0.1075 22 6 3.4303 -0.6889 1.2928 23 6 3.8234 -1.3806 2.6002 24 6 3.2790 -0.5711 3.7805 25 8 3.7858 0.7634 3.7150 26 6 3.4069 1.4749 2.5351 27 6 3.9569 0.7485 1.3047 28 8 2.0076 -0.6766 1.1655 29 1 -0.3633 -1.0277 0.0022 30 1 -0.3632 0.5158 0.8888 31 1 -0.3633 0.5118 -0.8911 32 1 1.8023 -0.1401 -2.1376 33 1 1.5760 -1.7079 -1.3211 34 1 2.8529 0.2139 -3.3234 35 1 5.2939 -0.2133 -4.6784 36 1 5.3845 1.3544 -3.8403 37 1 2.4838 2.8765 -5.6078 38 1 2.4015 2.0413 -4.0378 39 1 3.7438 3.1583 -4.3828 40 1 3.5246 -0.6094 -6.3980 41 1 2.2735 -0.1590 -5.2147 42 1 2.3552 0.6760 -6.7842 43 1 2.6291 2.9878 -8.4824 44 1 3.7745 -2.5066 0.1696 45 1 5.1257 -1.3449 0.1206 46 1 3.4013 -2.3853 2.6221 47 1 4.9097 -1.4394 2.6690 48 1 3.5946 -1.0344 4.7154 49 1 2.1902 -0.5492 3.7349 50 1 3.8144 2.4852 2.5732 51 1 2.3197 1.5232 2.4730 52 1 5.0461 0.7371 1.3450 53 1 3.6312 1.2632 0.4007 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 ZINC000590948382.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 06:10:46 Heat of formation + Delta-G solvation = -116.222051 kcal Electronic energy + Delta-G solvation = -32454.442123 eV Core-core repulsion = 28326.440098 eV Total energy + Delta-G solvation = -4128.002025 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.64 seconds Orbital eigenvalues (eV) -41.14957 -39.43677 -37.95665 -36.46744 -34.68698 -34.29671 -33.17421 -31.42176 -31.11295 -30.79471 -27.83281 -26.45270 -25.76774 -25.53377 -24.71093 -24.06846 -23.02777 -21.86574 -20.10975 -19.44976 -18.93342 -18.03986 -16.93896 -16.47788 -16.37495 -16.05272 -15.75663 -15.37098 -15.17172 -15.06620 -14.77047 -14.48379 -14.20229 -13.97517 -13.65002 -13.11792 -13.01364 -12.86856 -12.77439 -12.59578 -12.42674 -12.35519 -12.30603 -12.03739 -11.81205 -11.62366 -11.42259 -11.29620 -11.21501 -10.87557 -10.74881 -10.73431 -10.58791 -10.42266 -10.22721 -10.10008 -9.85319 -9.71088 -9.66731 -9.33317 -8.83386 -8.66717 -8.41967 -8.16787 -6.04615 -4.14610 2.74424 3.28761 3.30052 3.32960 3.36965 3.49881 3.66632 4.16666 4.32502 4.39081 4.44202 4.47845 4.61763 4.74001 4.80430 4.88562 5.01427 5.07630 5.17197 5.22293 5.27886 5.35682 5.37828 5.44463 5.44812 5.49171 5.54674 5.63370 5.67022 5.76297 5.83058 5.93164 5.95233 6.13576 6.32476 6.41445 6.46312 6.74902 6.77167 6.86154 6.95852 6.97328 6.99053 7.03611 7.16919 7.34122 7.52073 7.66980 7.97491 8.08615 8.30719 8.37425 8.84487 8.94047 9.51279 10.96872 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020299 B = 0.002716 C = 0.002645 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1379.016391 B =10306.246196 C =10583.958607 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C 0.071 3.929 3 H 0.068 0.932 4 C 0.083 3.917 5 N -0.637 5.637 6 C 0.703 3.297 7 O -0.594 6.594 8 N -0.732 5.732 9 C 0.149 3.851 10 C 0.057 3.943 11 C -0.129 4.129 12 C -0.129 4.129 13 C -0.506 4.506 14 H 0.057 0.943 15 C 0.067 3.933 16 N -0.887 5.887 17 Si 0.894 3.106 18 H -0.288 1.288 19 H -0.277 1.277 20 H -0.277 1.277 21 C 0.113 3.887 22 C 0.106 3.894 23 C -0.138 4.138 24 C 0.065 3.935 25 O -0.384 6.384 26 C 0.067 3.933 27 C -0.178 4.178 28 O -0.366 6.366 29 H 0.066 0.934 30 H 0.066 0.934 31 H 0.076 0.924 32 H 0.089 0.911 33 H 0.075 0.925 34 H 0.392 0.608 35 H 0.053 0.947 36 H 0.052 0.948 37 H 0.086 0.914 38 H 0.003 0.997 39 H 0.026 0.974 40 H 0.027 0.973 41 H 0.003 0.997 42 H 0.086 0.914 43 H 0.260 0.740 44 H 0.070 0.930 45 H 0.101 0.899 46 H 0.084 0.916 47 H 0.088 0.912 48 H 0.093 0.907 49 H 0.058 0.942 50 H 0.093 0.907 51 H 0.054 0.946 52 H 0.083 0.917 53 H 0.080 0.920 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.552 -5.991 19.847 21.742 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 0.013 3.987 3 H 0.086 0.914 4 C -0.041 4.041 5 N -0.376 5.376 6 C 0.405 3.595 7 O -0.473 6.473 8 N -0.388 5.388 9 C 0.026 3.974 10 C 0.056 3.944 11 C -0.186 4.186 12 C -0.187 4.187 13 C -0.545 4.545 14 H 0.076 0.924 15 C -0.134 4.134 16 N -0.525 5.525 17 Si 0.722 3.278 18 H -0.213 1.213 19 H -0.203 1.203 20 H -0.203 1.203 21 C -0.011 4.011 22 C 0.066 3.934 23 C -0.176 4.176 24 C -0.012 4.012 25 O -0.303 6.303 26 C -0.009 4.009 27 C -0.216 4.216 28 O -0.285 6.285 29 H 0.085 0.915 30 H 0.085 0.915 31 H 0.095 0.905 32 H 0.107 0.893 33 H 0.093 0.907 34 H 0.230 0.770 35 H 0.072 0.928 36 H 0.070 0.930 37 H 0.104 0.896 38 H 0.022 0.978 39 H 0.046 0.954 40 H 0.046 0.954 41 H 0.022 0.978 42 H 0.104 0.896 43 H 0.071 0.929 44 H 0.088 0.912 45 H 0.119 0.881 46 H 0.102 0.898 47 H 0.107 0.893 48 H 0.111 0.889 49 H 0.076 0.924 50 H 0.111 0.889 51 H 0.072 0.928 52 H 0.102 0.898 53 H 0.099 0.901 Dipole moment (debyes) X Y Z Total from point charges -5.784 -6.038 19.979 21.658 hybrid contribution 0.096 0.343 -1.390 1.434 sum -5.688 -5.695 18.590 20.258 Atomic orbital electron populations 1.21739 0.92091 1.03256 1.03008 1.22502 0.95362 0.95890 0.84974 0.91436 1.22334 0.81117 1.01636 0.98998 1.47259 1.05620 1.68054 1.16710 1.15941 0.84829 0.78613 0.80145 1.90877 1.13767 1.61915 1.80701 1.45673 1.10922 1.61408 1.20846 1.21615 0.91916 0.97065 0.86787 1.18353 0.93132 0.91987 0.90897 1.21815 0.98885 0.99061 0.98884 1.21823 0.98815 0.97878 1.00206 1.20945 0.92792 1.37322 1.03446 0.92441 1.24870 0.95084 0.95595 0.97897 1.69790 1.10594 1.43244 1.28888 0.86624 0.80741 0.79200 0.81250 1.21321 1.20261 1.20267 1.22102 1.00688 0.96492 0.81798 1.21863 0.81542 0.94953 0.95048 1.22140 1.02366 1.00085 0.93032 1.22506 0.98413 0.82489 0.97743 1.87913 1.75498 1.25858 1.40992 1.22493 0.99116 0.95320 0.84006 1.22709 1.02718 0.96350 0.99785 1.87929 1.20126 1.77228 1.43255 0.91525 0.91517 0.90479 0.89326 0.90671 0.77044 0.92833 0.93010 0.89565 0.97815 0.95444 0.95386 0.97775 0.89572 0.92939 0.91226 0.88059 0.89765 0.89333 0.88872 0.92352 0.88900 0.92798 0.89800 0.90124 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 -1.10 9.57 37.16 0.36 -0.74 16 2 C 0.07 0.70 3.02 -26.58 -0.08 0.62 16 3 H 0.07 0.71 6.20 -51.93 -0.32 0.39 16 4 C 0.08 0.93 5.91 -3.54 -0.02 0.91 16 5 N -0.64 -8.88 2.60 -177.80 -0.46 -9.34 16 6 C 0.70 12.71 8.31 -86.92 -0.72 11.98 16 7 O -0.59 -12.89 15.85 5.29 0.08 -12.80 16 8 N -0.73 -13.26 4.87 -65.23 -0.32 -13.58 16 9 C 0.15 3.19 4.51 -4.04 -0.02 3.17 16 10 C 0.06 1.31 0.50 -155.66 -0.08 1.23 16 11 C -0.13 -2.84 8.08 37.16 0.30 -2.54 16 12 C -0.13 -2.89 8.08 37.16 0.30 -2.59 16 13 C -0.51 -13.18 8.01 -34.44 -0.28 -13.46 16 14 H 0.06 1.51 7.74 -52.49 -0.41 1.11 16 15 C 0.07 1.74 5.15 -17.82 -0.09 1.65 16 16 N -0.89 -23.34 9.35 55.43 0.52 -22.82 16 17 Si 0.89 20.61 29.54 -169.99 -5.02 15.58 16 18 H -0.29 -6.59 7.11 56.52 0.40 -6.18 16 19 H -0.28 -6.39 7.11 56.52 0.40 -5.99 16 20 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 21 C 0.11 1.39 5.32 -3.36 -0.02 1.37 16 22 C 0.11 1.11 0.69 -90.24 -0.06 1.05 16 23 C -0.14 -1.18 5.15 -26.64 -0.14 -1.32 16 24 C 0.07 0.57 6.70 37.22 0.25 0.82 16 25 O -0.38 -4.20 10.76 -35.23 -0.38 -4.58 16 26 C 0.07 0.68 6.70 37.21 0.25 0.93 16 27 C -0.18 -1.97 4.46 -26.63 -0.12 -2.09 16 28 O -0.37 -3.84 8.86 -35.23 -0.31 -4.15 16 29 H 0.07 0.49 8.14 -51.93 -0.42 0.07 16 30 H 0.07 0.49 8.14 -51.93 -0.42 0.06 16 31 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 32 H 0.09 0.98 5.66 -51.93 -0.29 0.69 16 33 H 0.08 0.78 8.14 -51.93 -0.42 0.35 16 34 H 0.39 6.41 3.68 -40.82 -0.15 6.26 16 35 H 0.05 1.22 8.14 -51.93 -0.42 0.80 16 36 H 0.05 1.16 8.14 -51.93 -0.42 0.74 16 37 H 0.09 2.11 6.07 -51.93 -0.32 1.79 16 38 H 0.00 0.06 6.86 -51.93 -0.36 -0.30 16 39 H 0.03 0.60 8.14 -51.93 -0.42 0.18 16 40 H 0.03 0.62 8.14 -51.93 -0.42 0.20 16 41 H 0.00 0.06 6.86 -51.93 -0.36 -0.29 16 42 H 0.09 2.12 6.07 -51.93 -0.32 1.80 16 43 H 0.26 6.65 8.31 -40.82 -0.34 6.31 16 44 H 0.07 0.78 8.14 -51.93 -0.42 0.36 16 45 H 0.10 1.39 7.12 -51.93 -0.37 1.02 16 46 H 0.08 0.63 8.14 -51.93 -0.42 0.20 16 47 H 0.09 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.09 0.64 8.14 -51.93 -0.42 0.21 16 49 H 0.06 0.51 7.83 -51.93 -0.41 0.11 16 50 H 0.09 0.86 8.14 -51.93 -0.42 0.43 16 51 H 0.05 0.53 7.83 -51.93 -0.41 0.12 16 52 H 0.08 1.00 8.14 -51.93 -0.42 0.57 16 53 H 0.08 0.99 6.05 -51.93 -0.31 0.68 16 LS Contribution 393.58 15.07 5.93 5.93 Total: -1.00 -29.50 393.58 -9.19 -38.69 By element: Atomic # 1 Polarization: 15.17 SS G_CDS: -9.07 Total: 6.10 kcal Atomic # 6 Polarization: 1.15 SS G_CDS: -0.17 Total: 0.98 kcal Atomic # 7 Polarization: -45.48 SS G_CDS: -0.26 Total: -45.75 kcal Atomic # 8 Polarization: -20.93 SS G_CDS: -0.61 Total: -21.54 kcal Atomic # 14 Polarization: 20.61 SS G_CDS: -5.02 Total: 15.58 kcal Total LS contribution 5.93 Total: 5.93 kcal Total: -29.50 -9.19 -38.69 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. ZINC000590948382.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 -77.531 kcal (2) G-P(sol) polarization free energy of solvation -29.497 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.028 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.194 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.691 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.222 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds