Wall clock time and date at job start Sat Apr 11 2020 06:13:45 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 1.52994 * 1 3 3 C 1.53005 * 109.47139 * 2 1 4 4 H 1.08994 * 110.00145 * 302.38700 * 3 2 1 5 5 C 1.54325 * 109.88480 * 181.28482 * 3 2 1 6 6 H 1.08996 * 110.72227 * 336.93857 * 5 3 2 7 7 N 1.46508 * 110.71742 * 100.02842 * 5 3 2 8 8 C 1.34772 * 119.99978 * 202.55999 * 7 5 3 9 9 O 1.21274 * 120.00350 * 0.02562 * 8 7 5 10 10 C 1.50701 * 119.99690 * 179.97438 * 8 7 5 11 11 C 1.52998 * 109.46911 * 179.97438 * 10 8 7 12 12 O 1.42905 * 109.46943 * 180.02562 * 11 10 8 13 13 C 1.42905 * 113.99800 * 180.02562 * 12 11 10 14 14 C 1.53182 * 109.54368 * 90.43322 * 13 12 11 15 15 C 1.53094 * 109.16030 * 176.83655 * 14 13 12 16 16 O 1.42903 * 109.42184 * 302.40680 * 15 14 13 17 17 C 1.42904 * 114.09822 * 61.15788 * 16 15 14 18 18 C 1.53096 * 109.41220 * 298.83758 * 17 16 15 19 19 C 1.55152 * 103.10432 * 218.48103 * 5 3 2 20 20 C 1.54908 * 101.58068 * 35.41440 * 19 5 3 21 21 N 1.47320 * 110.06030 * 63.55653 * 3 2 1 22 22 C 1.36935 * 125.62066 * 298.24812 * 21 3 2 23 23 H 1.08005 * 119.99746 * 326.22075 * 22 21 3 24 24 C 1.38810 * 120.00557 * 146.21303 * 22 21 3 25 25 N 1.31610 * 120.00199 * 162.09935 * 24 22 21 26 26 Si 1.86807 * 119.99703 * 342.09748 * 24 22 21 27 27 H 1.48504 * 109.46984 * 88.97072 * 26 24 22 28 28 H 1.48501 * 109.46926 * 208.96497 * 26 24 22 29 29 H 1.48501 * 109.47356 * 328.97088 * 26 24 22 30 30 H 1.08993 * 109.47386 * 292.17778 * 1 2 3 31 31 H 1.09006 * 109.47267 * 52.18278 * 1 2 3 32 32 H 1.09004 * 109.46936 * 172.17172 * 1 2 3 33 33 H 1.08999 * 109.47683 * 240.00049 * 2 1 3 34 34 H 1.09000 * 109.47121 * 120.00041 * 2 1 3 35 35 H 0.97000 * 119.99622 * 22.56133 * 7 5 3 36 36 H 1.08999 * 109.47457 * 60.00078 * 10 8 7 37 37 H 1.08997 * 109.47523 * 300.00036 * 10 8 7 38 38 H 1.09008 * 109.47142 * 60.00405 * 11 10 8 39 39 H 1.08994 * 109.47463 * 300.00002 * 11 10 8 40 40 H 1.08996 * 109.54347 * 330.17644 * 13 12 11 41 41 H 1.08997 * 109.51445 * 56.93719 * 14 13 12 42 42 H 1.09002 * 109.52996 * 296.74568 * 14 13 12 43 43 H 1.08999 * 109.47825 * 182.42216 * 15 14 13 44 44 H 1.08995 * 109.47996 * 62.39652 * 15 14 13 45 45 H 1.08993 * 109.48536 * 58.81979 * 17 16 15 46 46 H 1.08996 * 109.47912 * 178.84917 * 17 16 15 47 47 H 1.08993 * 109.51888 * 177.51845 * 18 17 16 48 48 H 1.09003 * 109.52340 * 297.70638 * 18 17 16 49 49 H 1.09001 * 110.99994 * 153.49197 * 19 5 3 50 50 H 1.09003 * 111.00154 * 277.30080 * 19 5 3 51 51 H 1.09006 * 110.36117 * 81.82940 * 20 19 5 52 52 H 1.09004 * 110.36377 * 204.03596 * 20 19 5 53 53 H 0.96999 * 120.00278 * 180.02562 * 25 24 22 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 1 1.6470 1.9769 -0.8649 5 6 3.5828 1.4538 -0.0325 6 1 3.9835 0.5157 0.3514 7 7 4.0708 1.7063 -1.3907 8 6 5.3130 1.3202 -1.7431 9 8 6.0268 0.7634 -0.9361 10 6 5.8146 1.5794 -3.1403 11 6 7.2426 1.0474 -3.2764 12 8 7.7185 1.2937 -4.6012 13 6 9.0506 0.8323 -4.8354 14 6 9.0101 -0.6087 -5.3535 15 6 10.4347 -1.0669 -5.6762 16 8 11.0138 -0.1791 -6.6347 17 6 11.1210 1.1737 -6.1868 18 6 9.7239 1.7220 -5.8848 19 6 3.9459 2.6322 0.9091 20 6 2.8350 2.5255 1.9834 21 7 1.6274 2.1244 1.2390 22 6 0.3355 2.3464 1.6350 23 1 -0.4300 2.5375 0.8974 24 6 0.0096 2.3258 2.9841 25 7 -1.1140 2.8719 3.3982 26 14 1.1659 1.5228 4.2120 27 1 2.1476 2.5261 4.6967 28 1 0.3831 1.0011 5.3611 29 1 1.8863 0.4029 3.5545 30 1 -0.3634 0.3879 0.9516 31 1 -0.3634 0.6301 -0.8119 32 1 -0.3633 -1.0181 -0.1400 33 1 1.8934 -0.5138 -0.8899 34 1 1.8933 -0.5138 0.8900 35 1 3.4997 2.1513 -2.0362 36 1 5.8066 2.6517 -3.3362 37 1 5.1683 1.0742 -3.8580 38 1 7.2511 -0.0249 -3.0804 39 1 7.8887 1.5530 -2.5588 40 1 9.6186 0.8710 -3.9059 41 1 8.3997 -0.6543 -6.2554 42 1 8.5826 -1.2586 -4.5899 43 1 10.4078 -2.0766 -6.0858 44 1 11.0338 -1.0598 -4.7657 45 1 11.7290 1.2103 -5.2829 46 1 11.5886 1.7780 -6.9641 47 1 9.8068 2.7389 -5.5012 48 1 9.1280 1.7235 -6.7975 49 1 4.9320 2.4894 1.3511 50 1 3.8905 3.5848 0.3821 51 1 3.0941 1.7676 2.7229 52 1 2.6816 3.4900 2.4675 53 1 -1.3415 2.8578 4.3410 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 ZINC001316739150.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 06:13:45 Heat of formation + Delta-G solvation = -119.148837 kcal Electronic energy + Delta-G solvation = -30207.748761 eV Core-core repulsion = 26079.619821 eV Total energy + Delta-G solvation = -4128.128940 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.22 seconds Orbital eigenvalues (eV) -40.16946 -39.83543 -38.22032 -37.63850 -34.24205 -33.37522 -32.48583 -32.23099 -31.60974 -31.20236 -29.28280 -27.13638 -25.23913 -24.44936 -24.09332 -23.32485 -22.11884 -21.05165 -20.71345 -20.35646 -19.31338 -17.74887 -17.07019 -16.80810 -16.60620 -16.32062 -16.03605 -15.96751 -15.32654 -15.12678 -14.98657 -14.75525 -14.23571 -13.95169 -13.75456 -13.58108 -13.35454 -13.18570 -12.93755 -12.79065 -12.45976 -12.33026 -12.16180 -12.04276 -11.84240 -11.79548 -11.46630 -11.40560 -11.18784 -11.08479 -10.86191 -10.83059 -10.68112 -10.47490 -10.28240 -10.17149 -10.15065 -9.92452 -9.83250 -9.81762 -9.48196 -8.85773 -8.57343 -6.92538 -6.02578 -3.42984 2.61244 2.82959 3.33059 3.38405 3.45387 3.50039 3.58289 4.26788 4.31412 4.48135 4.50041 4.55954 4.62388 4.72413 4.77323 4.80631 4.92160 4.97269 5.06673 5.14703 5.17182 5.18764 5.20012 5.27940 5.32630 5.35349 5.48857 5.54375 5.54937 5.57967 5.67204 5.76263 5.79374 5.89132 5.94370 6.09377 6.16580 6.30750 6.39993 6.54219 6.61180 6.63564 6.69544 6.73828 6.75755 6.85485 7.02502 7.39237 7.54579 7.82524 8.21957 8.28651 8.78774 9.61205 10.16424 11.12764 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.028958 B = 0.001849 C = 0.001823 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 966.685909 B =15141.085797 C =15359.268717 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.124 4.124 3 C 0.155 3.845 4 H 0.046 0.954 5 C 0.133 3.867 6 H 0.095 0.905 7 N -0.713 5.713 8 C 0.517 3.483 9 O -0.546 6.546 10 C -0.140 4.140 11 C 0.078 3.922 12 O -0.382 6.382 13 C 0.091 3.909 14 C -0.180 4.180 15 C 0.063 3.937 16 O -0.383 6.383 17 C 0.063 3.937 18 C -0.154 4.154 19 C -0.140 4.140 20 C 0.117 3.883 21 N -0.598 5.598 22 C -0.235 4.235 23 H 0.088 0.912 24 C 0.032 3.968 25 N -0.905 5.905 26 Si 0.881 3.119 27 H -0.286 1.286 28 H -0.301 1.301 29 H -0.271 1.271 30 H 0.095 0.905 31 H 0.041 0.959 32 H 0.029 0.971 33 H 0.041 0.959 34 H 0.054 0.946 35 H 0.401 0.599 36 H 0.101 0.899 37 H 0.101 0.899 38 H 0.057 0.943 39 H 0.058 0.942 40 H 0.063 0.937 41 H 0.082 0.918 42 H 0.077 0.923 43 H 0.098 0.902 44 H 0.052 0.948 45 H 0.052 0.948 46 H 0.100 0.900 47 H 0.081 0.919 48 H 0.082 0.918 49 H 0.067 0.933 50 H 0.071 0.929 51 H 0.024 0.976 52 H 0.059 0.941 53 H 0.264 0.736 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 20.920 -3.779 -18.498 28.180 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 -0.208 4.208 2 C -0.163 4.163 3 C 0.048 3.952 4 H 0.064 0.936 5 C 0.028 3.972 6 H 0.113 0.887 7 N -0.364 5.364 8 C 0.303 3.697 9 O -0.424 6.424 10 C -0.180 4.180 11 C 0.001 3.999 12 O -0.301 6.301 13 C 0.033 3.967 14 C -0.218 4.218 15 C -0.014 4.014 16 O -0.301 6.301 17 C -0.014 4.014 18 C -0.191 4.191 19 C -0.180 4.180 20 C -0.008 4.008 21 N -0.324 5.324 22 C -0.363 4.363 23 H 0.105 0.895 24 C -0.169 4.169 25 N -0.547 5.547 26 Si 0.710 3.290 27 H -0.212 1.212 28 H -0.229 1.229 29 H -0.196 1.196 30 H 0.114 0.886 31 H 0.060 0.940 32 H 0.048 0.952 33 H 0.060 0.940 34 H 0.073 0.927 35 H 0.236 0.764 36 H 0.120 0.880 37 H 0.120 0.880 38 H 0.076 0.924 39 H 0.076 0.924 40 H 0.081 0.919 41 H 0.100 0.900 42 H 0.095 0.905 43 H 0.116 0.884 44 H 0.070 0.930 45 H 0.070 0.930 46 H 0.118 0.882 47 H 0.099 0.901 48 H 0.100 0.900 49 H 0.086 0.914 50 H 0.090 0.910 51 H 0.042 0.958 52 H 0.077 0.923 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges 21.153 -4.089 -18.060 28.113 hybrid contribution 0.199 -0.297 1.072 1.130 sum 21.352 -4.386 -16.989 27.637 Atomic orbital electron populations 1.21908 0.95120 0.98994 1.04796 1.21877 0.97479 0.97159 0.99795 1.21310 0.89464 0.92432 0.91985 0.93621 1.22135 0.95111 0.99143 0.80826 0.88740 1.46028 1.15299 1.60595 1.14478 1.20322 0.81808 0.78320 0.89257 1.90706 1.56035 1.42503 1.53169 1.21473 0.96996 1.04413 0.95096 1.22170 0.93964 1.00315 0.83427 1.87857 1.29855 1.81573 1.30864 1.22060 0.83836 0.92993 0.97801 1.22746 0.98602 0.97291 1.03148 1.22569 0.92087 0.93979 0.92745 1.87948 1.82093 1.18502 1.41591 1.22589 0.95211 0.83154 1.00403 1.22305 0.96904 0.99876 1.00056 1.23120 0.98865 0.98169 0.97823 1.21913 0.86591 0.98567 0.93775 1.44765 1.01743 1.64396 1.21532 1.18447 0.83183 1.42590 0.92062 0.89470 1.25379 0.95672 0.98534 0.97270 1.69786 1.24499 1.44840 1.15532 0.86875 0.80252 0.80887 0.80948 1.21243 1.22903 1.19586 0.88626 0.93957 0.95207 0.93990 0.92681 0.76401 0.88028 0.88024 0.92424 0.92385 0.91916 0.89981 0.90462 0.88411 0.92997 0.92961 0.88204 0.90070 0.89979 0.91447 0.91020 0.95844 0.92276 0.92583 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -0.15 -2.87 9.03 37.15 0.34 -2.53 16 2 C -0.12 -2.24 5.49 -26.73 -0.15 -2.39 16 3 C 0.15 2.85 3.03 -66.79 -0.20 2.65 16 4 H 0.05 0.81 7.70 -51.93 -0.40 0.41 16 5 C 0.13 2.16 2.79 -66.09 -0.18 1.98 16 6 H 0.09 1.69 7.33 -51.93 -0.38 1.31 16 7 N -0.71 -9.08 5.19 -52.03 -0.27 -9.35 16 8 C 0.52 6.63 7.83 -10.99 -0.09 6.55 16 9 O -0.55 -9.06 15.67 5.56 0.09 -8.97 16 10 C -0.14 -1.30 6.07 -27.88 -0.17 -1.47 16 11 C 0.08 0.77 5.04 37.16 0.19 0.96 16 12 O -0.38 -3.73 10.00 -35.23 -0.35 -4.08 16 13 C 0.09 0.73 2.70 -26.55 -0.07 0.66 16 14 C -0.18 -1.32 5.76 -26.59 -0.15 -1.48 16 15 C 0.06 0.42 6.84 37.21 0.25 0.67 16 16 O -0.38 -3.16 10.77 -35.23 -0.38 -3.54 16 17 C 0.06 0.39 6.84 37.21 0.25 0.64 16 18 C -0.15 -1.05 5.79 -26.59 -0.15 -1.20 16 19 C -0.14 -2.39 6.77 -24.59 -0.17 -2.56 16 20 C 0.12 2.46 4.98 -2.53 -0.01 2.44 16 21 N -0.60 -13.46 2.73 -162.35 -0.44 -13.90 16 22 C -0.24 -6.18 7.36 -15.06 -0.11 -6.29 16 23 H 0.09 2.45 7.81 -52.48 -0.41 2.04 16 24 C 0.03 0.88 5.45 -17.44 -0.10 0.79 16 25 N -0.90 -26.78 13.97 55.49 0.78 -26.00 16 26 Si 0.88 22.11 24.71 -169.99 -4.20 17.91 16 27 H -0.29 -7.04 7.11 56.52 0.40 -6.64 16 28 H -0.30 -7.71 7.11 56.52 0.40 -7.31 16 29 H -0.27 -6.72 6.77 56.52 0.38 -6.34 16 30 H 0.10 2.17 5.60 -51.93 -0.29 1.88 16 31 H 0.04 0.76 8.13 -51.93 -0.42 0.34 16 32 H 0.03 0.50 8.14 -51.93 -0.42 0.08 16 33 H 0.04 0.66 8.14 -51.93 -0.42 0.24 16 34 H 0.05 1.08 8.14 -51.93 -0.42 0.66 16 35 H 0.40 4.11 8.34 -40.82 -0.34 3.77 16 36 H 0.10 0.80 8.14 -51.93 -0.42 0.38 16 37 H 0.10 0.80 8.14 -51.93 -0.42 0.38 16 38 H 0.06 0.60 7.95 -51.92 -0.41 0.19 16 39 H 0.06 0.60 8.04 -51.93 -0.42 0.19 16 40 H 0.06 0.48 7.79 -51.93 -0.40 0.07 16 41 H 0.08 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.08 0.55 7.99 -51.93 -0.42 0.13 16 43 H 0.10 0.53 8.14 -51.93 -0.42 0.11 16 44 H 0.05 0.30 8.14 -51.93 -0.42 -0.12 16 45 H 0.05 0.27 8.14 -51.93 -0.42 -0.15 16 46 H 0.10 0.47 8.14 -51.93 -0.42 0.04 16 47 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 48 H 0.08 0.62 8.14 -51.93 -0.42 0.19 16 49 H 0.07 1.11 8.14 -51.93 -0.42 0.68 16 50 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 51 H 0.02 0.53 5.29 -51.93 -0.27 0.25 16 52 H 0.06 1.30 7.99 -51.93 -0.41 0.88 16 53 H 0.26 7.49 8.31 -40.82 -0.34 7.15 16 LS Contribution 408.06 15.07 6.15 6.15 Total: -1.00 -31.69 408.06 -8.81 -40.50 By element: Atomic # 1 Polarization: 11.52 SS G_CDS: -9.66 Total: 1.86 kcal Atomic # 6 Polarization: -0.06 SS G_CDS: -0.52 Total: -0.58 kcal Atomic # 7 Polarization: -49.32 SS G_CDS: 0.06 Total: -49.25 kcal Atomic # 8 Polarization: -15.94 SS G_CDS: -0.64 Total: -16.59 kcal Atomic # 14 Polarization: 22.11 SS G_CDS: -4.20 Total: 17.91 kcal Total LS contribution 6.15 Total: 6.15 kcal Total: -31.69 -8.81 -40.50 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. ZINC001316739150.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 -78.652 kcal (2) G-P(sol) polarization free energy of solvation -31.687 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -110.338 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.810 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.497 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.149 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.23 seconds