Wall clock time and date at job start Tue Mar 31 2020 07:00:31 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.42901 * 1 3 3 C 1.35999 * 116.99903 * 2 1 4 4 C 1.38574 * 120.07058 * 0.02562 * 3 2 1 5 5 C 1.38244 * 119.99493 * 179.97438 * 4 3 2 6 6 C 1.38247 * 120.14687 * 0.02562 * 5 4 3 7 7 C 1.50703 * 119.92543 * 179.97438 * 6 5 4 8 8 N 1.46899 * 109.47107 * 89.99920 * 7 6 5 9 9 C 1.46904 * 111.00029 * 179.97438 * 8 7 6 10 10 H 1.08998 * 109.46835 * 325.00273 * 9 8 7 11 11 C 1.52997 * 109.46874 * 85.00270 * 9 8 7 12 12 C 1.53002 * 109.46992 * 205.00108 * 9 8 7 13 13 N 1.46498 * 109.47327 * 55.00149 * 12 9 8 14 14 C 1.46766 * 124.34872 * 89.99568 * 13 12 9 15 15 C 1.54478 * 105.47443 * 197.02070 * 14 13 12 16 16 C 1.54630 * 101.76464 * 334.58259 * 15 14 13 17 17 C 1.34413 * 124.35359 * 269.70051 * 13 12 9 18 18 O 1.21286 * 124.93831 * 359.57733 * 17 13 12 19 19 C 1.38244 * 120.15049 * 0.23457 * 6 5 4 20 20 C 1.38570 * 119.99583 * 359.48994 * 19 6 5 21 21 O 1.35992 * 120.07371 * 180.25012 * 20 19 6 22 22 C 1.42900 * 116.99900 * 0.28032 * 21 20 19 23 23 C 1.53003 * 109.47443 * 179.97438 * 22 21 20 24 24 C 1.50696 * 109.47436 * 179.97438 * 23 22 21 25 25 H 1.08000 * 119.99801 * 0.02562 * 24 23 22 26 26 C 1.37879 * 119.99606 * 180.02562 * 24 23 22 27 27 N 1.31503 * 120.00318 * 0.02562 * 26 24 23 28 28 Si 1.86801 * 119.99438 * 180.02562 * 26 24 23 29 29 H 1.48499 * 109.47226 * 0.02562 * 28 26 24 30 30 H 1.48504 * 109.46966 * 120.00033 * 28 26 24 31 31 H 1.48501 * 109.47067 * 240.00131 * 28 26 24 32 32 H 1.09011 * 109.47141 * 299.99989 * 1 2 3 33 33 H 1.08995 * 109.47266 * 60.00068 * 1 2 3 34 34 H 1.08998 * 109.46876 * 180.02562 * 1 2 3 35 35 H 1.07995 * 119.99789 * 359.95570 * 4 3 2 36 36 H 1.07995 * 119.92178 * 180.02562 * 5 4 3 37 37 H 1.09002 * 109.47152 * 330.00008 * 7 6 5 38 38 H 1.09001 * 109.46980 * 210.00108 * 7 6 5 39 39 H 1.00902 * 111.00582 * 303.95889 * 8 7 6 40 40 H 1.09007 * 109.47004 * 300.00081 * 11 9 8 41 41 H 1.09007 * 109.47280 * 59.99720 * 11 9 8 42 42 H 1.08997 * 109.47489 * 179.97438 * 11 9 8 43 43 H 1.08995 * 109.46473 * 175.00444 * 12 9 8 44 44 H 1.09002 * 109.47052 * 295.00087 * 12 9 8 45 45 H 1.09004 * 110.24448 * 316.02246 * 14 13 12 46 46 H 1.08997 * 110.24581 * 77.92637 * 14 13 12 47 47 H 1.08997 * 110.96916 * 92.70363 * 15 14 13 48 48 H 1.09003 * 110.96885 * 216.47057 * 15 14 13 49 49 H 1.08994 * 110.48719 * 143.47565 * 16 15 14 50 50 H 1.09000 * 110.48682 * 265.99315 * 16 15 14 51 51 H 1.07999 * 120.00343 * 179.74368 * 19 6 5 52 52 H 1.08993 * 109.47459 * 299.99855 * 22 21 20 53 53 H 1.09000 * 109.47145 * 59.99837 * 22 21 20 54 54 H 1.09002 * 109.46934 * 300.00802 * 23 22 21 55 55 H 1.09007 * 109.46641 * 59.99416 * 23 22 21 56 56 H 0.97004 * 120.00310 * 179.97438 * 27 26 24 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 1.4290 0.0000 0.0000 3 6 2.0464 1.2118 0.0000 4 6 1.2931 2.3749 0.0005 5 6 1.9223 3.6058 0.0011 6 6 3.3028 3.6799 0.0005 7 6 3.9835 5.0244 0.0005 8 7 4.2053 5.4610 1.3855 9 6 4.8692 6.7709 1.4247 10 1 5.5690 6.8485 0.5927 11 6 3.8193 7.8782 1.3131 12 6 5.6280 6.9187 2.7451 13 7 6.5497 5.7916 2.9075 14 6 7.9377 5.7816 2.4307 15 6 8.3599 4.2957 2.4222 16 6 7.4184 3.6943 3.4913 17 6 6.2346 4.6360 3.5173 18 8 5.1571 4.3837 4.0136 19 6 4.0602 2.5234 -0.0054 20 6 3.4359 1.2864 -0.0002 21 8 4.1795 0.1477 -0.0009 22 6 5.6003 0.3008 -0.0010 23 6 6.2619 -1.0788 -0.0012 24 6 7.7602 -0.9175 -0.0019 25 1 8.1969 0.0703 -0.0017 26 6 8.5734 -2.0309 -0.0027 27 7 8.0416 -3.2336 -0.0034 28 14 10.4307 -1.8308 -0.0028 29 1 10.7729 -0.3858 -0.0013 30 1 10.9979 -2.4746 1.2092 31 1 10.9976 -2.4730 -1.2158 32 1 -0.3634 0.5139 0.8901 33 1 -0.3633 0.5138 -0.8899 34 1 -0.3633 -1.0277 0.0005 35 1 0.2146 2.3196 0.0002 36 1 1.3341 4.5115 0.0019 37 1 3.3534 5.7507 -0.5129 38 1 4.9415 4.9466 -0.5137 39 1 3.3388 5.4788 1.9023 40 1 3.2787 7.7728 0.3725 41 1 3.1194 7.8005 2.1452 42 1 4.3118 8.8502 1.3427 43 1 6.1921 7.8513 2.7373 44 1 4.9186 6.9301 3.5725 45 1 7.9936 6.1954 1.4238 46 1 8.5733 6.3519 3.1080 47 1 8.1803 3.8447 1.4462 48 1 9.4039 4.1851 2.7153 49 1 7.1051 2.6910 3.2028 50 1 7.9093 3.6748 4.4643 51 1 5.1385 2.5841 -0.0100 52 1 5.9064 0.8510 -0.8906 53 1 5.9066 0.8501 0.8893 54 1 5.9556 -1.6288 0.8887 55 1 5.9555 -1.6285 -0.8912 56 1 8.6137 -4.0169 -0.0043 RHF calculation, no. of doubly occupied orbitals= 72 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=WATER ZINC000064614274.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 07:00:31 Heat of formation + Delta-G solvation = -110.702967 kcal Electronic energy + Delta-G solvation = -35873.875534 eV Core-core repulsion = 31361.434413 eV Total energy + Delta-G solvation = -4512.441121 eV No. of doubly occupied orbitals = 72 Molecular weight (most abundant/longest-lived isotopes) = 376.220 amu Computer time = 1.54 seconds Orbital eigenvalues (eV) -41.54314 -41.11860 -39.48439 -38.84369 -37.56743 -36.96507 -35.46907 -33.90464 -32.52328 -32.03895 -30.93333 -30.02828 -28.31718 -28.17068 -27.10250 -27.00257 -25.50003 -23.97251 -22.72639 -22.51772 -21.99544 -21.88852 -20.21565 -19.51200 -18.63211 -17.84525 -17.62406 -17.53294 -17.31765 -17.16397 -16.60685 -16.51176 -16.35783 -15.97768 -15.83979 -15.63080 -15.15957 -15.10217 -14.60229 -14.51415 -14.40557 -14.31198 -14.24738 -14.08184 -13.80206 -13.68596 -13.28464 -13.24720 -13.05961 -12.98152 -12.92688 -12.67724 -12.66683 -12.56709 -12.45034 -12.21906 -12.13102 -11.92902 -11.88273 -11.87076 -11.74302 -11.59748 -11.57582 -11.37087 -10.61770 -10.58762 -9.66351 -9.55677 -9.12039 -8.71596 -8.24206 -6.38568 0.30869 0.43726 1.42055 1.44280 1.57616 1.83707 2.27970 2.29999 2.40925 2.52224 2.67293 3.10093 3.40038 3.62141 3.74503 3.76876 3.86156 3.97964 4.04956 4.09740 4.14004 4.23868 4.24402 4.25152 4.28236 4.37721 4.39522 4.42547 4.44194 4.56076 4.58363 4.62707 4.69713 4.70361 4.73241 4.76685 4.80026 4.84459 4.96775 4.99462 5.04305 5.12573 5.20007 5.25912 5.26749 5.29850 5.32359 5.45485 5.58912 5.69198 5.79119 5.82977 6.06647 6.19043 6.23917 6.37373 6.50954 6.70664 6.75951 7.31459 7.45575 8.89656 Molecular weight = 376.22amu Principal moments of inertia in cm(-1) A = 0.005639 B = 0.003616 C = 0.002379 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 4964.561817 B = 7741.276753 C =11766.436284 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.019 3.981 2 O -0.343 6.343 3 C 0.072 3.928 4 C -0.166 4.166 5 C -0.110 4.110 6 C -0.080 4.080 7 C 0.117 3.883 8 N -0.684 5.684 9 C 0.068 3.932 10 H 0.085 0.915 11 C -0.172 4.172 12 C 0.135 3.865 13 N -0.605 5.605 14 C 0.107 3.893 15 C -0.126 4.126 16 C -0.164 4.164 17 C 0.520 3.480 18 O -0.574 6.574 19 C -0.158 4.158 20 C 0.068 3.932 21 O -0.338 6.338 22 C 0.090 3.910 23 C 0.032 3.968 24 C -0.540 4.540 25 H 0.074 0.926 26 C 0.000 4.000 27 N -0.934 5.934 28 Si 0.978 3.022 29 H -0.251 1.251 30 H -0.278 1.278 31 H -0.278 1.278 32 H 0.067 0.933 33 H 0.071 0.929 34 H 0.110 0.890 35 H 0.163 0.837 36 H 0.157 0.843 37 H 0.060 0.940 38 H 0.071 0.929 39 H 0.340 0.660 40 H 0.060 0.940 41 H 0.055 0.945 42 H 0.079 0.921 43 H 0.111 0.889 44 H 0.062 0.938 45 H 0.091 0.909 46 H 0.091 0.909 47 H 0.069 0.931 48 H 0.109 0.891 49 H 0.074 0.926 50 H 0.111 0.889 51 H 0.124 0.876 52 H 0.058 0.942 53 H 0.051 0.949 54 H -0.008 1.008 55 H -0.005 1.005 56 H 0.266 0.734 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.664 28.188 1.579 29.254 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 -0.075 4.075 2 O -0.257 6.257 3 C 0.027 3.973 4 C -0.185 4.185 5 C -0.129 4.129 6 C -0.081 4.081 7 C -0.011 4.011 8 N -0.315 5.315 9 C -0.043 4.043 10 H 0.103 0.897 11 C -0.231 4.231 12 C 0.013 3.987 13 N -0.337 5.337 14 C -0.015 4.015 15 C -0.164 4.164 16 C -0.204 4.204 17 C 0.308 3.692 18 O -0.453 6.453 19 C -0.178 4.178 20 C 0.023 3.977 21 O -0.253 6.253 22 C 0.015 3.985 23 C -0.006 4.006 24 C -0.578 4.578 25 H 0.092 0.908 26 C -0.198 4.198 27 N -0.573 5.573 28 Si 0.801 3.199 29 H -0.174 1.174 30 H -0.203 1.203 31 H -0.203 1.203 32 H 0.085 0.915 33 H 0.090 0.910 34 H 0.128 0.872 35 H 0.181 0.819 36 H 0.174 0.826 37 H 0.078 0.922 38 H 0.090 0.910 39 H 0.159 0.841 40 H 0.079 0.921 41 H 0.074 0.926 42 H 0.098 0.902 43 H 0.129 0.871 44 H 0.080 0.920 45 H 0.109 0.891 46 H 0.110 0.890 47 H 0.088 0.912 48 H 0.127 0.873 49 H 0.092 0.908 50 H 0.129 0.871 51 H 0.142 0.858 52 H 0.076 0.924 53 H 0.069 0.931 54 H 0.010 0.990 55 H 0.014 0.986 56 H 0.075 0.925 Dipole moment (debyes) X Y Z Total from point charges -7.607 27.220 1.889 28.326 hybrid contribution -0.130 -0.359 -0.191 0.427 sum -7.737 26.861 1.698 28.005 Atomic orbital electron populations 1.23339 0.76497 1.05279 1.02412 1.86183 1.23480 1.26766 1.89293 1.18641 0.89045 0.86287 1.03373 1.21297 1.00914 0.90517 1.05731 1.21017 0.93456 0.97724 1.00676 1.19696 0.93640 0.94494 1.00290 1.20717 0.99245 0.90936 0.90238 1.60407 1.30199 1.28634 1.12249 1.22053 0.96352 0.87369 0.98500 0.89684 1.22357 0.99132 0.99542 1.02097 1.21541 0.91864 0.88377 0.96957 1.48053 1.13428 1.15319 1.56926 1.22209 0.80967 0.96983 1.01365 1.22568 1.00532 0.94758 0.98507 1.22352 0.96149 0.99169 1.02742 1.20946 0.88130 0.83569 0.76521 1.90641 1.27368 1.78509 1.48793 1.20990 1.00307 0.90752 1.05712 1.18909 0.89442 0.86802 1.02568 1.86168 1.20420 1.29857 1.88824 1.22792 0.75850 0.99993 0.99823 1.18943 0.95136 0.90901 0.95578 1.21380 0.90644 0.93802 1.51982 0.90819 1.26101 1.05165 0.94498 0.94079 1.70150 1.37674 0.98751 1.50746 0.85209 0.77532 0.79372 0.77795 1.17381 1.20314 1.20313 0.91453 0.91042 0.87165 0.81922 0.82582 0.92205 0.91027 0.84127 0.92126 0.92626 0.90200 0.87145 0.91989 0.89061 0.89049 0.91226 0.87279 0.90764 0.87131 0.85823 0.92384 0.93095 0.98954 0.98644 0.92503 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 0.02 0.41 9.81 113.37 1.11 1.53 16 2 O -0.34 -12.42 10.28 -79.67 -0.82 -13.24 16 3 C 0.07 2.57 6.70 22.57 0.15 2.72 16 4 C -0.17 -4.31 9.04 22.35 0.20 -4.11 16 5 C -0.11 -2.55 9.69 22.27 0.22 -2.33 16 6 C -0.08 -2.16 5.39 -19.86 -0.11 -2.26 16 7 C 0.12 2.35 5.61 85.56 0.48 2.83 16 8 N -0.68 -14.04 5.13 -495.57 -2.54 -16.58 16 9 C 0.07 0.93 2.89 44.91 0.13 1.06 16 10 H 0.08 1.09 7.80 -2.39 -0.02 1.07 16 11 C -0.17 -1.61 9.16 71.98 0.66 -0.95 16 12 C 0.14 1.98 5.66 86.38 0.49 2.47 16 13 N -0.60 -11.61 2.80 -817.99 -2.29 -13.90 16 14 C 0.11 1.39 7.35 86.83 0.64 2.03 16 15 C -0.13 -2.20 7.18 31.65 0.23 -1.97 16 16 C -0.16 -4.03 6.86 30.59 0.21 -3.82 16 17 C 0.52 14.68 7.38 87.90 0.65 15.33 16 18 O -0.57 -21.43 17.31 -3.05 -0.05 -21.48 16 19 C -0.16 -5.55 8.69 22.35 0.19 -5.36 16 20 C 0.07 2.81 6.70 22.57 0.15 2.96 16 21 O -0.34 -16.68 9.92 -79.60 -0.79 -17.47 16 22 C 0.09 4.37 4.68 71.98 0.34 4.70 16 23 C 0.03 1.85 5.34 29.85 0.16 2.01 16 24 C -0.54 -31.35 9.11 25.60 0.23 -31.11 16 25 H 0.07 3.95 7.74 -2.91 -0.02 3.92 16 26 C 0.00 -0.02 5.46 84.66 0.46 0.45 16 27 N -0.93 -58.45 13.28 21.45 0.28 -58.17 16 28 Si 0.98 43.71 29.54 68.60 2.03 45.74 16 29 H -0.25 -10.26 7.11 99.48 0.71 -9.55 16 30 H -0.28 -12.11 7.11 99.48 0.71 -11.40 16 31 H -0.28 -12.09 7.11 99.48 0.71 -11.39 16 32 H 0.07 1.24 7.66 -2.38 -0.02 1.22 16 33 H 0.07 1.24 7.66 -2.39 -0.02 1.23 16 34 H 0.11 2.06 8.14 -2.39 -0.02 2.04 16 35 H 0.16 2.99 6.30 -2.91 -0.02 2.98 16 36 H 0.16 2.40 8.06 -2.91 -0.02 2.37 16 37 H 0.06 0.91 7.38 -2.39 -0.02 0.89 16 38 H 0.07 1.50 7.99 -2.39 -0.02 1.48 16 39 H 0.34 7.53 8.47 -89.69 -0.76 6.77 16 40 H 0.06 0.56 7.45 -2.38 -0.02 0.54 16 41 H 0.05 0.59 8.13 -2.38 -0.02 0.57 16 42 H 0.08 0.49 8.14 -2.39 -0.02 0.47 16 43 H 0.11 0.88 8.14 -2.39 -0.02 0.86 16 44 H 0.06 1.15 7.92 -2.39 -0.02 1.13 16 45 H 0.09 0.90 8.14 -2.38 -0.02 0.88 16 46 H 0.09 0.79 8.14 -2.39 -0.02 0.77 16 47 H 0.07 1.43 8.14 -2.39 -0.02 1.41 16 48 H 0.11 1.43 8.14 -2.39 -0.02 1.41 16 49 H 0.07 2.26 8.14 -2.39 -0.02 2.24 16 50 H 0.11 2.32 8.14 -2.39 -0.02 2.30 16 51 H 0.12 4.45 6.30 -2.91 -0.02 4.43 16 52 H 0.06 2.62 7.65 -2.39 -0.02 2.61 16 53 H 0.05 2.39 7.68 -2.39 -0.02 2.38 16 54 H -0.01 -0.51 8.14 -2.39 -0.02 -0.53 16 55 H 0.00 -0.31 8.14 -2.38 -0.02 -0.33 16 56 H 0.27 15.46 8.31 -92.71 -0.77 14.69 16 Total: -1.00 -83.98 454.35 2.52 -81.46 By element: Atomic # 1 Polarization: 27.35 SS G_CDS: 0.11 Total: 27.46 kcal Atomic # 6 Polarization: -20.41 SS G_CDS: 6.59 Total: -13.82 kcal Atomic # 7 Polarization: -84.10 SS G_CDS: -4.55 Total: -88.65 kcal Atomic # 8 Polarization: -50.53 SS G_CDS: -1.66 Total: -52.19 kcal Atomic # 14 Polarization: 43.71 SS G_CDS: 2.03 Total: 45.74 kcal Total: -83.98 2.52 -81.46 kcal The number of atoms in the molecule is 56 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. ZINC000064614274.mol2 56 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 -29.246 kcal (2) G-P(sol) polarization free energy of solvation -83.980 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -113.226 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.523 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -81.457 kcal (6) G-S(sol) free energy of system = (1) + (5) -110.703 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.54 seconds