Wall clock time and date at job start Tue Mar 31 2020 20:42:14 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 1.31000 * 1 3 3 C 1.50704 * 120.00066 * 2 1 4 4 C 1.53000 * 109.47109 * 124.99637 * 3 2 1 5 5 C 1.50696 * 109.54658 * 300.00558 * 4 3 2 6 6 O 1.21282 * 119.99558 * 239.82525 * 5 4 3 7 7 N 1.34774 * 120.00229 * 59.81510 * 5 4 3 8 8 C 1.46499 * 119.99648 * 180.02562 * 7 5 4 9 9 H 1.09001 * 109.53126 * 325.08424 * 8 7 5 10 10 C 1.53044 * 109.49773 * 205.00176 * 8 7 5 11 11 C 1.53037 * 109.53011 * 178.67707 * 10 8 7 12 12 C 1.53195 * 109.31199 * 61.37609 * 11 10 8 13 13 H 1.08997 * 109.58518 * 65.28968 * 12 11 10 14 14 C 1.52999 * 109.58607 * 185.57787 * 12 11 10 15 15 N 1.46933 * 108.77386 * 305.36461 * 12 11 10 16 16 C 1.36935 * 120.63053 * 233.63063 * 15 12 11 17 17 H 1.07997 * 119.99784 * 29.57251 * 16 15 12 18 18 C 1.38804 * 119.99942 * 209.57306 * 16 15 12 19 19 N 1.31625 * 120.00314 * 16.13523 * 18 16 15 20 20 Si 1.86804 * 120.00266 * 196.13187 * 18 16 15 21 21 H 1.48504 * 109.46870 * 94.02032 * 20 18 16 22 22 H 1.48496 * 109.47350 * 214.02500 * 20 18 16 23 23 H 1.48496 * 109.46696 * 334.02374 * 20 18 16 24 24 C 1.46927 * 118.73778 * 53.60873 * 15 12 11 25 25 C 1.53177 * 109.61376 * 60.22493 * 4 3 2 26 26 C 1.53099 * 109.16271 * 176.88874 * 25 4 3 27 27 O 1.42892 * 109.41450 * 302.39059 * 26 25 4 28 28 C 1.42908 * 114.09748 * 61.15696 * 27 26 25 29 29 C 1.53095 * 109.41551 * 298.83991 * 28 27 26 30 30 H 1.07999 * 119.99794 * 180.02562 * 1 2 3 31 31 H 1.07999 * 119.99810 * 0.02562 * 1 2 3 32 32 H 1.07999 * 119.99810 * 179.97438 * 2 1 3 33 33 H 1.08994 * 109.46928 * 4.99907 * 3 2 1 34 34 H 1.09001 * 109.46816 * 244.99894 * 3 2 1 35 35 H 0.96991 * 120.00195 * 0.02562 * 7 5 4 36 36 H 1.09003 * 109.45713 * 58.66092 * 10 8 7 37 37 H 1.09001 * 109.46308 * 298.69858 * 10 8 7 38 38 H 1.08998 * 109.49967 * 181.32173 * 11 10 8 39 39 H 1.08995 * 109.50011 * 301.42656 * 11 10 8 40 40 H 1.09001 * 109.47060 * 59.99896 * 14 12 11 41 41 H 1.09006 * 109.46717 * 179.97438 * 14 12 11 42 42 H 1.09000 * 109.47073 * 299.99534 * 14 12 11 43 43 H 0.96990 * 120.00372 * 179.97438 * 19 18 16 44 44 H 1.08998 * 109.58806 * 66.17311 * 24 15 12 45 45 H 1.08997 * 109.58401 * 186.46324 * 24 15 12 46 46 H 1.09001 * 109.52389 * 296.79064 * 25 4 3 47 47 H 1.09002 * 109.52762 * 56.98382 * 25 4 3 48 48 H 1.09004 * 109.47947 * 182.40541 * 26 25 4 49 49 H 1.09002 * 109.48506 * 62.38024 * 26 25 4 50 50 H 1.09002 * 109.47921 * 178.85473 * 28 27 26 51 51 H 1.08998 * 109.48975 * 58.83550 * 28 27 26 52 52 H 1.08997 * 109.51819 * 297.70285 * 29 28 27 53 53 H 1.08998 * 109.57164 * 177.54321 * 29 28 27 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 1.3100 0.0000 0.0000 3 6 2.0635 1.3051 0.0000 4 6 3.0350 1.3331 1.1817 5 6 2.2655 1.1983 2.4703 6 8 2.3257 2.0744 3.3069 7 7 1.5103 0.1045 2.6930 8 6 0.7618 -0.0261 3.9456 9 1 1.3333 0.4195 4.7598 10 6 0.5186 -1.5075 4.2432 11 6 -0.2344 -1.6462 5.5682 12 6 -1.5926 -0.9467 5.4547 13 1 -2.2102 -1.4648 4.7211 14 6 -2.2920 -0.9605 6.8154 15 7 -1.3750 0.4419 5.0267 16 6 -1.8981 1.4836 5.7454 17 1 -2.0434 1.3852 6.8111 18 6 -2.2415 2.6658 5.1043 19 7 -2.3699 2.6910 3.7946 20 14 -2.5217 4.2212 6.1002 21 1 -1.2629 5.0071 6.1553 22 1 -3.5856 5.0347 5.4589 23 1 -2.9392 3.8580 7.4783 24 6 -0.5851 0.6917 3.8133 25 6 4.0308 0.1760 1.0562 26 6 5.0448 0.2593 2.2002 27 8 5.7034 1.5268 2.1598 28 6 4.8277 2.6447 2.3198 29 6 3.8050 2.6573 1.1806 30 1 -0.5400 -0.9353 0.0004 31 1 -0.5400 0.9353 -0.0004 32 1 1.8500 -0.9353 0.0004 33 1 1.3586 2.1316 0.0895 34 1 2.6213 1.4026 -0.9314 35 1 1.4623 -0.5961 2.0240 36 1 1.4751 -2.0256 4.3131 37 1 -0.0742 -1.9466 3.4408 38 1 -0.3867 -2.7022 5.7914 39 1 0.3465 -1.1852 6.3669 40 1 -1.6751 -0.4376 7.5463 41 1 -3.2578 -0.4620 6.7325 42 1 -2.4412 -1.9913 7.1368 43 1 -2.6102 3.5170 3.3466 44 1 -1.1197 0.3086 2.9440 45 1 -0.4208 1.7630 3.6984 46 1 3.4963 -0.7723 1.1117 47 1 4.5522 0.2460 0.1015 48 1 5.7815 -0.5367 2.0917 49 1 4.5276 0.1486 3.1533 50 1 5.4080 3.5672 2.2976 51 1 4.3076 2.5655 3.2744 52 1 4.3219 2.7774 0.2285 53 1 3.1088 3.4836 1.3240 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001132454484.mol2 53 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 20:42:14 Heat of formation + Delta-G solvation = -50.342243 kcal Electronic energy + Delta-G solvation = -32420.545442 eV Core-core repulsion = 28485.856232 eV Total energy + Delta-G solvation = -3934.689211 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.28 seconds Orbital eigenvalues (eV) -40.89140 -38.44821 -37.34050 -35.97727 -34.39363 -32.83721 -32.63496 -31.21931 -30.40474 -29.80093 -27.70888 -26.07449 -25.01779 -23.80173 -23.49000 -22.30744 -21.89995 -20.44151 -19.71602 -19.48947 -18.81106 -16.64013 -16.41402 -16.12936 -15.93789 -15.58301 -15.18790 -14.91365 -14.61946 -14.34604 -14.00038 -13.89609 -13.76664 -13.58500 -13.35423 -13.00351 -12.86186 -12.54882 -12.40399 -12.21581 -12.17375 -11.78450 -11.56252 -11.45887 -11.41450 -11.17823 -11.11244 -10.86911 -10.71801 -10.57019 -10.49028 -10.39988 -10.32668 -10.23693 -9.94946 -9.71959 -9.53618 -9.47073 -9.24318 -8.96835 -8.41625 -8.37133 -6.58843 -5.72871 -3.16833 2.28534 3.07006 3.43047 3.49812 3.50944 3.59055 3.92326 4.46187 4.54280 4.66487 4.73481 4.94365 5.03317 5.13250 5.19237 5.25715 5.35546 5.38375 5.48993 5.50755 5.54189 5.58313 5.62502 5.63604 5.69874 5.73695 5.86162 5.91653 5.98087 5.99966 6.04454 6.10976 6.11612 6.20981 6.28121 6.32895 6.39959 6.46746 6.53861 6.63495 6.64889 6.77213 6.78309 7.02860 7.05740 7.13712 7.24017 7.35272 7.76594 7.87915 8.01275 8.51938 8.72682 9.26616 9.90845 10.46431 11.35053 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011732 B = 0.004388 C = 0.003990 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2385.969583 B = 6379.722167 C = 7015.992261 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.158 4.158 2 C -0.185 4.185 3 C -0.077 4.077 4 C -0.075 4.075 5 C 0.520 3.480 6 O -0.533 6.533 7 N -0.714 5.714 8 C 0.115 3.885 9 H 0.079 0.921 10 C -0.116 4.116 11 C -0.126 4.126 12 C 0.165 3.835 13 H 0.024 0.976 14 C -0.136 4.136 15 N -0.583 5.583 16 C -0.252 4.252 17 H 0.069 0.931 18 C 0.007 3.993 19 N -0.899 5.899 20 Si 0.898 3.102 21 H -0.287 1.287 22 H -0.292 1.292 23 H -0.279 1.279 24 C 0.173 3.827 25 C -0.141 4.141 26 C 0.059 3.941 27 O -0.386 6.386 28 C 0.049 3.951 29 C -0.128 4.128 30 H 0.098 0.902 31 H 0.102 0.898 32 H 0.109 0.891 33 H 0.076 0.924 34 H 0.079 0.921 35 H 0.392 0.608 36 H 0.048 0.952 37 H 0.057 0.943 38 H 0.054 0.946 39 H 0.060 0.940 40 H 0.053 0.947 41 H 0.061 0.939 42 H 0.037 0.963 43 H 0.251 0.749 44 H 0.016 0.984 45 H 0.091 0.909 46 H 0.076 0.924 47 H 0.081 0.919 48 H 0.093 0.907 49 H 0.050 0.950 50 H 0.089 0.911 51 H 0.080 0.920 52 H 0.073 0.927 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 11.239 -8.623 -8.234 16.384 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 -0.195 4.195 2 C -0.203 4.203 3 C -0.115 4.115 4 C -0.078 4.078 5 C 0.305 3.695 6 O -0.409 6.409 7 N -0.367 5.367 8 C 0.010 3.990 9 H 0.097 0.903 10 C -0.154 4.154 11 C -0.166 4.166 12 C 0.059 3.941 13 H 0.041 0.959 14 C -0.194 4.194 15 N -0.307 5.307 16 C -0.382 4.382 17 H 0.087 0.913 18 C -0.192 4.192 19 N -0.543 5.543 20 Si 0.728 3.272 21 H -0.214 1.214 22 H -0.219 1.219 23 H -0.204 1.204 24 C 0.046 3.954 25 C -0.179 4.179 26 C -0.018 4.018 27 O -0.305 6.305 28 C -0.028 4.028 29 C -0.166 4.166 30 H 0.116 0.884 31 H 0.120 0.880 32 H 0.127 0.873 33 H 0.095 0.905 34 H 0.098 0.902 35 H 0.228 0.772 36 H 0.067 0.933 37 H 0.075 0.925 38 H 0.072 0.928 39 H 0.079 0.921 40 H 0.072 0.928 41 H 0.080 0.920 42 H 0.056 0.944 43 H 0.061 0.939 44 H 0.034 0.966 45 H 0.110 0.890 46 H 0.095 0.905 47 H 0.100 0.900 48 H 0.111 0.889 49 H 0.068 0.932 50 H 0.107 0.893 51 H 0.098 0.902 52 H 0.091 0.909 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges 11.389 -7.829 -7.722 15.831 hybrid contribution -0.602 0.422 0.009 0.735 sum 10.787 -7.408 -7.713 15.190 Atomic orbital electron populations 1.24001 0.95777 1.02606 0.97095 1.22798 0.96117 0.98011 1.03330 1.20734 0.97510 0.96510 0.96707 1.20893 0.95361 0.97383 0.94161 1.20216 0.79348 0.82115 0.87799 1.90679 1.63909 1.39763 1.46568 1.46361 1.47736 1.21642 1.20943 1.21963 0.95960 0.95766 0.85321 0.90307 1.21672 0.99232 0.95872 0.98622 1.22043 0.98773 0.99340 0.96411 1.20475 0.92084 0.87073 0.94489 0.95859 1.21799 1.01405 0.98958 0.97200 1.44033 1.58080 0.99712 1.28845 1.19138 1.36088 0.92111 0.90815 0.91300 1.25053 0.99203 0.99346 0.95567 1.70012 1.50851 1.26054 1.07361 0.86342 0.77458 0.83866 0.79505 1.21416 1.21878 1.20403 1.21021 0.85712 1.00773 0.87885 1.22282 0.97040 0.97799 1.00755 1.22551 0.95592 0.86419 0.97283 1.87865 1.34590 1.14051 1.93997 1.22857 0.91875 0.88744 0.99281 1.22008 0.98393 0.96355 0.99851 0.88351 0.87972 0.87294 0.90540 0.90219 0.77161 0.93283 0.92464 0.92781 0.92121 0.92809 0.92034 0.94399 0.93867 0.96552 0.89050 0.90546 0.90049 0.88933 0.93158 0.89263 0.90222 0.90878 0.89941 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.16 -1.93 13.91 29.01 0.40 -1.53 16 2 C -0.18 -2.00 5.81 -36.02 -0.21 -2.20 16 3 C -0.08 -0.88 4.73 -27.88 -0.13 -1.01 16 4 C -0.07 -0.95 0.51 -155.48 -0.08 -1.03 16 5 C 0.52 8.77 5.08 -10.99 -0.06 8.72 16 6 O -0.53 -11.35 13.50 5.56 0.08 -11.28 16 7 N -0.71 -11.39 4.30 -53.69 -0.23 -11.62 16 8 C 0.12 2.21 2.60 -67.81 -0.18 2.03 16 9 H 0.08 1.74 7.58 -51.93 -0.39 1.35 16 10 C -0.12 -1.86 5.35 -26.69 -0.14 -2.00 16 11 C -0.13 -2.13 5.37 -26.61 -0.14 -2.28 16 12 C 0.17 3.37 3.50 -67.59 -0.24 3.13 16 13 H 0.02 0.50 8.14 -51.93 -0.42 0.07 16 14 C -0.14 -2.56 7.95 37.16 0.30 -2.26 16 15 N -0.58 -14.38 2.99 -164.77 -0.49 -14.87 16 16 C -0.25 -6.87 8.58 -15.06 -0.13 -7.00 16 17 H 0.07 1.84 6.22 -52.49 -0.33 1.52 16 18 C 0.01 0.21 4.92 -17.43 -0.09 0.12 16 19 N -0.90 -26.32 11.25 55.49 0.62 -25.70 16 20 Si 0.90 22.42 29.58 -169.99 -5.03 17.39 16 21 H -0.29 -7.33 7.11 56.52 0.40 -6.93 16 22 H -0.29 -7.32 7.11 56.52 0.40 -6.92 16 23 H -0.28 -6.74 7.11 56.52 0.40 -6.34 16 24 C 0.17 4.11 4.87 -3.71 -0.02 4.09 16 25 C -0.14 -1.46 4.52 -26.59 -0.12 -1.58 16 26 C 0.06 0.69 6.62 37.21 0.25 0.94 16 27 O -0.39 -5.35 10.77 -35.23 -0.38 -5.73 16 28 C 0.05 0.68 6.55 37.21 0.24 0.92 16 29 C -0.13 -1.65 4.56 -26.59 -0.12 -1.77 16 30 H 0.10 1.09 8.06 -52.49 -0.42 0.67 16 31 H 0.10 1.44 7.84 -52.49 -0.41 1.03 16 32 H 0.11 0.96 6.77 -52.49 -0.36 0.60 16 33 H 0.08 1.01 7.79 -51.93 -0.40 0.61 16 34 H 0.08 0.75 8.14 -51.93 -0.42 0.32 16 35 H 0.39 5.21 5.00 -40.82 -0.20 5.00 16 36 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 37 H 0.06 0.88 8.14 -51.93 -0.42 0.45 16 38 H 0.05 0.78 8.14 -51.93 -0.42 0.35 16 39 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 40 H 0.05 1.03 7.40 -51.93 -0.38 0.65 16 41 H 0.06 1.25 7.66 -51.93 -0.40 0.85 16 42 H 0.04 0.58 8.14 -51.93 -0.42 0.16 16 43 H 0.25 7.21 8.31 -40.82 -0.34 6.87 16 44 H 0.02 0.41 8.14 -51.93 -0.42 -0.02 16 45 H 0.09 2.58 6.14 -51.93 -0.32 2.27 16 46 H 0.08 0.69 6.11 -51.93 -0.32 0.37 16 47 H 0.08 0.74 8.14 -51.93 -0.42 0.32 16 48 H 0.09 0.88 8.14 -51.93 -0.42 0.46 16 49 H 0.05 0.68 7.38 -51.93 -0.38 0.30 16 50 H 0.09 1.09 8.14 -51.93 -0.42 0.66 16 51 H 0.08 1.34 5.80 -51.93 -0.30 1.03 16 52 H 0.07 0.79 8.14 -51.93 -0.42 0.37 16 53 H 0.08 1.17 8.03 -51.93 -0.42 0.75 16 LS Contribution 392.95 15.07 5.92 5.92 Total: -1.00 -31.63 392.95 -9.22 -40.84 By element: Atomic # 1 Polarization: 17.00 SS G_CDS: -9.25 Total: 7.76 kcal Atomic # 6 Polarization: -2.26 SS G_CDS: -0.46 Total: -2.72 kcal Atomic # 7 Polarization: -52.09 SS G_CDS: -0.10 Total: -52.19 kcal Atomic # 8 Polarization: -16.70 SS G_CDS: -0.30 Total: -17.00 kcal Atomic # 14 Polarization: 22.42 SS G_CDS: -5.03 Total: 17.39 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -31.63 -9.22 -40.84 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. ZINC001132454484.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 -9.498 kcal (2) G-P(sol) polarization free energy of solvation -31.628 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -41.126 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.217 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.845 kcal (6) G-S(sol) free energy of system = (1) + (5) -50.342 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.28 seconds