Wall clock time and date at job start Mon Mar 8 2021 17:40:06 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= 0 * 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 O 2 2 C 1.42901 * 1 3 3 Si 1.86306 * 109.47066 * 2 1 4 4 C 1.50703 * 109.46865 * 240.00228 * 2 1 3 5 5 C 1.38658 * 120.00779 * 245.68529 * 4 2 1 6 6 O 1.35982 * 119.97887 * 0.02562 * 5 4 2 7 7 C 1.42904 * 116.99205 * 180.02562 * 6 5 4 8 8 C 1.53004 * 109.46641 * 179.97438 * 7 6 5 9 9 H 1.09000 * 109.46536 * 179.97438 * 8 7 6 10 10 O 1.42966 * 109.47097 * 299.99903 * 8 7 6 11 11 C 1.43086 * 113.76807 * 178.79698 * 10 8 7 12 12 C 1.53256 * 108.94478 * 302.02786 * 11 10 8 13 13 H 1.09001 * 109.57770 * 294.71835 * 12 11 10 14 14 N 1.46503 * 109.68135 * 174.39779 * 12 11 10 15 15 C 1.34525 * 124.45774 * 300.26834 * 14 12 11 16 16 O 1.21443 * 125.71508 * 0.02562 * 15 14 12 17 17 C 1.47824 * 108.57850 * 179.90921 * 15 14 12 18 18 C 1.40951 * 105.87617 * 0.34916 * 17 15 14 19 19 C 1.38569 * 119.81885 * 179.82928 * 18 17 15 20 20 C 1.38613 * 119.71673 * 359.93693 * 19 18 17 21 21 C 1.38227 * 120.46136 * 0.06445 * 20 19 18 22 22 C 1.38562 * 134.29902 * 180.10912 * 17 15 14 23 23 C 1.34523 * 124.46016 * 120.58060 * 14 12 11 24 24 O 1.21450 * 125.71219 * 359.97438 * 23 14 12 25 25 C 1.53265 * 108.84462 * 54.52462 * 12 11 10 26 26 O 1.42965 * 109.47122 * 59.99790 * 8 7 6 27 27 C 1.38691 * 120.02692 * 180.02562 * 5 4 2 28 28 C 1.38210 * 120.08806 * 359.97438 * 27 5 4 29 29 C 1.38533 * 120.10033 * 359.97438 * 28 27 5 30 30 C 1.38536 * 120.00481 * 65.66234 * 4 2 1 31 31 O 1.36507 * 131.47384 * 359.96653 * 30 4 2 32 32 C 1.43977 * 105.50208 * 197.28459 * 31 30 4 33 33 O 1.36601 * 131.46329 * 180.02562 * 29 28 27 34 34 H 0.96699 * 113.99849 * 179.97438 * 1 2 3 35 35 H 1.09001 * 109.47636 * 120.00541 * 2 1 3 36 36 H 1.48501 * 109.99847 * 54.87497 * 3 2 1 37 37 H 1.48499 * 109.99684 * 176.19647 * 3 2 1 38 38 H 1.09003 * 109.46994 * 299.99794 * 7 6 5 39 39 H 1.09000 * 109.47070 * 59.99914 * 7 6 5 40 40 H 1.09003 * 109.56320 * 182.19025 * 11 10 8 41 41 H 1.09000 * 109.64841 * 61.92149 * 11 10 8 42 42 H 1.07989 * 120.13995 * 179.97438 * 19 18 17 43 43 H 1.07996 * 119.77144 * 180.02562 * 20 19 18 44 44 H 1.08001 * 119.76900 * 179.97438 * 21 20 19 45 45 H 1.08002 * 120.14291 * 0.28982 * 22 17 15 46 46 H 1.08997 * 109.55552 * 185.64056 * 25 12 11 47 47 H 1.09000 * 109.55567 * 65.31661 * 25 12 11 48 48 H 1.08008 * 119.95494 * 179.97438 * 27 5 4 49 49 H 1.08002 * 119.95134 * 180.02562 * 28 27 5 50 50 H 1.09004 * 110.56982 * 91.41755 * 32 31 30 51 51 H 1.08994 * 110.57580 * 214.14052 * 32 31 30 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0500 1.7565 0.0000 4 6 1.9313 -0.7104 -1.2305 5 6 2.6285 -1.9025 -1.1070 6 8 2.8585 -2.4307 0.1248 7 6 3.5837 -3.6609 0.1779 8 6 3.7439 -4.0958 1.6361 9 1 4.2966 -5.0343 1.6766 10 8 4.4587 -3.0896 2.3577 11 6 4.6372 -3.3918 3.7448 12 6 3.2623 -3.5933 4.3911 13 1 2.7079 -2.6550 4.3703 14 7 3.4290 -4.0341 5.7783 15 6 4.0686 -5.1583 6.1481 16 8 4.5917 -5.9562 5.3966 17 6 4.0307 -5.2586 7.6224 18 6 3.3220 -4.1246 8.0679 19 6 3.1123 -3.9319 9.4240 20 6 3.6004 -4.8574 10.3331 21 6 4.2955 -5.9695 9.8961 22 6 4.5135 -6.1750 8.5428 23 6 2.9575 -3.3710 6.8496 24 8 2.3361 -2.3280 6.8207 25 6 2.4958 -4.6603 3.6018 26 8 2.4533 -4.2774 2.2238 27 6 3.0914 -2.5563 -2.2391 28 6 2.8583 -2.0215 -3.4921 29 6 2.1613 -0.8313 -3.6208 30 6 1.6960 -0.1727 -2.4854 31 8 1.0481 0.9639 -2.8750 32 6 0.7670 0.7857 -4.2758 33 8 1.8048 -0.1064 -4.7223 34 1 -0.3933 -0.8834 -0.0004 35 1 1.7924 -0.5139 0.8899 36 1 1.4623 2.5030 1.1413 37 1 3.5320 1.7712 0.0926 38 1 3.0388 -4.4279 -0.3726 39 1 4.5678 -3.5222 -0.2697 40 1 5.1533 -2.5661 4.2348 41 1 5.2263 -4.3031 3.8485 42 1 2.5704 -3.0647 9.7710 43 1 3.4371 -4.7083 11.3902 44 1 4.6712 -6.6833 10.6143 45 1 5.0575 -7.0455 8.2072 46 1 1.4803 -4.7416 3.9895 47 1 3.0030 -5.6202 3.6985 48 1 3.6348 -3.4847 -2.1415 49 1 3.2194 -2.5328 -4.3723 50 1 -0.2139 0.3310 -4.4148 51 1 0.8243 1.7384 -4.8022 There are 80 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 80 No. of singly occupied orbitals= 1 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=0 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 s_7_15096578_13594088.mol2 51 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Mon Mar 8 2021 17:40:06 Heat of formation + Delta-G solvation = -170.027289 kcal Electronic energy + Delta-G solvation = -44229.984569 eV Core-core repulsion = 38416.280685 eV Total energy + Delta-G solvation = -5813.703884 eV No. of doubly occupied orbitals = 80 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 442.133 amu Computer time = 3.34 seconds Orbital eigenvalues (eV) -43.71612 -43.13559 -41.46588 -40.67144 -39.85427 -39.62247 -38.09369 -37.34288 -37.10972 -37.02958 -36.75209 -34.60811 -32.56870 -32.39792 -31.67937 -30.37899 -29.56965 -27.46474 -26.71570 -26.60384 -26.38204 -25.61877 -24.60989 -23.60095 -23.27621 -22.68771 -22.34236 -21.05826 -19.82697 -19.11191 -19.03627 -18.87906 -18.77188 -18.65837 -18.02814 -17.87754 -17.61957 -17.54689 -17.05881 -17.02029 -16.65148 -16.52750 -16.25084 -16.12668 -16.11262 -15.88969 -15.64454 -15.55306 -15.36194 -15.27368 -15.20647 -14.93071 -14.73146 -14.65794 -14.28251 -14.08585 -14.01873 -13.92716 -13.79604 -13.56720 -13.51016 -13.42469 -12.93420 -12.81747 -12.72740 -12.47363 -12.32235 -12.14704 -11.96064 -11.74147 -11.59694 -11.29375 -11.15203 -10.96509 -10.93646 -10.81105 -10.48371 -10.45741 -9.59695 -8.76319 -4.61141 -1.20007 -0.29161 0.04687 0.19354 0.77414 0.87700 1.49076 1.63448 1.64121 1.87505 2.11495 2.17304 2.19299 2.26319 2.34586 2.34823 2.53467 2.65977 3.02854 3.16221 3.25317 3.33295 3.37891 3.43659 3.66292 3.69406 3.71778 3.76262 3.81328 3.83492 3.90274 3.92419 3.98080 3.98842 4.00911 4.05133 4.07535 4.07957 4.13846 4.23327 4.28259 4.36984 4.44318 4.48001 4.50747 4.56994 4.66704 4.85943 4.87776 4.96260 4.98912 5.07539 5.16789 5.20665 5.29887 5.37150 5.43753 5.74387 5.94080 6.04917 6.26032 6.38386 6.72776 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.533 6.533 2 C -0.064 4.064 3 Si 0.747 3.253 4 C -0.139 4.139 5 C 0.153 3.847 6 O -0.289 6.289 7 C 0.076 3.924 8 C 0.244 3.756 9 H 0.088 0.912 10 O -0.370 6.370 11 C 0.048 3.952 12 C 0.074 3.926 13 H 0.129 0.871 14 N -0.570 5.570 15 C 0.576 3.424 16 O -0.460 6.460 17 C -0.143 4.143 18 C -0.140 4.140 19 C -0.042 4.042 20 C -0.092 4.092 21 C -0.093 4.093 22 C -0.041 4.041 23 C 0.575 3.425 24 O -0.452 6.452 25 C 0.048 3.952 26 O -0.369 6.369 27 C -0.204 4.204 28 C -0.053 4.053 29 C -0.006 4.006 30 C 0.097 3.903 31 O -0.289 6.289 32 C 0.211 3.789 33 O -0.307 6.307 34 H 0.364 0.636 35 H 0.085 0.915 36 H -0.250 1.250 37 H -0.251 1.251 38 H 0.093 0.907 39 H 0.093 0.907 40 H 0.109 0.891 41 H 0.075 0.925 42 H 0.145 0.855 43 H 0.146 0.854 44 H 0.145 0.855 45 H 0.144 0.856 46 H 0.110 0.890 47 H 0.075 0.925 48 H 0.143 0.857 49 H 0.141 0.859 50 H 0.086 0.914 51 H 0.136 0.864 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.732 -5.480 3.301 6.628 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 O -0.338 6.338 2 C -0.173 4.173 3 Si 0.645 3.355 4 C -0.141 4.141 5 C 0.107 3.893 6 O -0.201 6.201 7 C 0.001 3.999 8 C 0.149 3.851 9 H 0.105 0.895 10 O -0.289 6.289 11 C -0.030 4.030 12 C -0.028 4.028 13 H 0.147 0.853 14 N -0.316 5.316 15 C 0.366 3.634 16 O -0.331 6.331 17 C -0.147 4.147 18 C -0.143 4.143 19 C -0.061 4.061 20 C -0.110 4.110 21 C -0.111 4.111 22 C -0.060 4.060 23 C 0.365 3.635 24 O -0.321 6.321 25 C -0.029 4.029 26 O -0.289 6.289 27 C -0.223 4.223 28 C -0.072 4.072 29 C -0.050 4.050 30 C 0.051 3.949 31 O -0.204 6.204 32 C 0.100 3.900 33 O -0.224 6.224 34 H 0.211 0.789 35 H 0.103 0.897 36 H -0.175 1.175 37 H -0.176 1.176 38 H 0.111 0.889 39 H 0.111 0.889 40 H 0.127 0.873 41 H 0.094 0.906 42 H 0.163 0.837 43 H 0.163 0.837 44 H 0.163 0.837 45 H 0.162 0.838 46 H 0.128 0.872 47 H 0.093 0.907 48 H 0.161 0.839 49 H 0.159 0.841 50 H 0.103 0.897 51 H 0.153 0.847 Dipole moment (debyes) X Y Z Total from point charges 2.038 -3.568 3.076 5.133 hybrid contribution 0.023 -2.001 0.592 2.087 sum 2.060 -5.569 3.668 6.979 Atomic orbital electron populations 1.86756 1.16930 1.32981 1.97145 1.25139 0.84624 1.12813 0.94685 0.92734 0.78486 0.76294 0.88023 1.18342 1.06742 0.95704 0.93277 1.18190 0.94924 0.91845 0.84380 1.86188 1.71191 1.37815 1.24956 1.22938 0.97675 0.85885 0.93446 1.23635 0.81302 0.90909 0.89226 0.89503 1.88262 1.74511 1.46380 1.19711 1.23018 0.94387 1.03771 0.81775 1.22648 1.00102 1.01711 0.78325 0.85310 1.46450 1.52775 1.24179 1.08172 1.18458 0.76477 0.79846 0.88630 1.90811 1.40675 1.41907 1.59687 1.20461 1.03133 0.97935 0.93131 1.20467 1.02658 0.96820 0.94402 1.20875 0.96251 0.99158 0.89775 1.21565 0.95590 0.93185 1.00643 1.21560 0.96734 0.97616 0.95230 1.20856 0.95899 0.97511 0.91736 1.18427 0.77595 0.83650 0.83875 1.90866 1.34846 1.20048 1.86379 1.23028 1.02551 0.96155 0.81182 1.88252 1.28677 1.88751 1.23175 1.20954 1.07414 1.03006 0.90951 1.19830 0.97853 0.91414 0.98098 1.19624 1.04911 0.95812 0.84635 1.19048 0.96218 0.86441 0.93189 1.87390 1.73331 1.34013 1.25692 1.25733 0.91344 0.95334 0.77609 1.87397 1.54256 1.50023 1.30678 0.78914 0.89731 1.17467 1.17567 0.88904 0.88919 0.87253 0.90638 0.83742 0.83665 0.83683 0.83790 0.87227 0.90663 0.83893 0.84113 0.89661 0.84667 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 O -0.53 -2.05 12.62 -35.23 -0.44 -2.49 16 2 C -0.06 -0.25 2.72 36.01 0.10 -0.15 16 3 Si 0.75 2.90 31.11 -169.99 -5.29 -2.39 16 4 C -0.14 -0.47 4.62 -104.36 -0.48 -0.95 16 5 C 0.15 0.36 6.66 -39.26 -0.26 0.10 16 6 O -0.29 -0.72 8.69 -40.17 -0.35 -1.07 16 7 C 0.08 -0.04 4.83 37.16 0.18 0.13 16 8 C 0.24 0.11 3.59 37.16 0.13 0.25 16 9 H 0.09 -0.14 8.14 -51.93 -0.42 -0.57 16 10 O -0.37 -0.79 10.43 -63.56 -0.66 -1.45 16 11 C 0.05 0.04 6.33 37.29 0.24 0.28 16 12 C 0.07 0.08 3.07 -67.66 -0.21 -0.12 16 13 H 0.13 0.28 7.59 -51.93 -0.39 -0.12 16 14 N -0.57 -0.61 2.53 -110.22 -0.28 -0.89 16 15 C 0.58 0.60 7.35 -12.45 -0.09 0.51 16 16 O -0.46 -1.17 15.17 5.42 0.08 -1.08 16 17 C -0.14 0.05 6.41 -104.83 -0.67 -0.63 16 18 C -0.14 0.00 6.41 -104.83 -0.67 -0.67 16 19 C -0.04 0.09 10.09 -39.32 -0.40 -0.31 16 20 C -0.09 0.35 10.04 -39.45 -0.40 -0.04 16 21 C -0.09 0.37 10.03 -39.45 -0.40 -0.03 16 22 C -0.04 0.10 10.09 -39.32 -0.40 -0.30 16 23 C 0.58 1.09 8.02 -12.46 -0.10 0.99 16 24 O -0.45 -2.08 17.44 5.41 0.09 -1.99 16 25 C 0.05 0.03 6.32 37.29 0.24 0.27 16 26 O -0.37 -0.68 10.43 -63.56 -0.66 -1.34 16 27 C -0.20 -0.08 9.03 -39.42 -0.36 -0.44 16 28 C -0.05 -0.05 10.05 -39.48 -0.40 -0.45 16 29 C -0.01 -0.02 7.15 -39.09 -0.28 -0.29 16 30 C 0.10 0.31 6.02 -39.09 -0.24 0.08 16 31 O -0.29 -0.69 9.71 -45.71 -0.44 -1.14 16 32 C 0.21 -0.05 8.89 101.05 0.90 0.85 16 33 O -0.31 -0.75 11.41 -46.02 -0.52 -1.28 16 34 H 0.36 0.39 9.07 45.56 0.41 0.81 16 35 H 0.09 0.38 6.83 -51.93 -0.35 0.02 16 36 H -0.25 -1.48 7.11 56.52 0.40 -1.08 16 37 H -0.25 -1.34 7.11 56.52 0.40 -0.93 16 38 H 0.09 -0.24 7.66 -51.93 -0.40 -0.64 16 39 H 0.09 -0.22 7.66 -51.93 -0.40 -0.62 16 40 H 0.11 0.03 8.14 -51.93 -0.42 -0.39 16 41 H 0.08 0.05 6.68 -51.93 -0.35 -0.30 16 42 H 0.14 -0.46 8.06 -52.49 -0.42 -0.89 16 43 H 0.15 -0.90 8.06 -52.49 -0.42 -1.32 16 44 H 0.15 -0.92 8.06 -52.49 -0.42 -1.34 16 45 H 0.14 -0.54 8.06 -52.49 -0.42 -0.97 16 46 H 0.11 0.00 8.14 -51.93 -0.42 -0.42 16 47 H 0.08 0.04 6.68 -51.93 -0.35 -0.30 16 48 H 0.14 -0.35 6.29 -52.48 -0.33 -0.68 16 49 H 0.14 -0.16 8.06 -52.49 -0.42 -0.58 16 50 H 0.09 -0.16 8.14 -51.93 -0.42 -0.58 16 51 H 0.14 -0.43 8.14 -51.93 -0.42 -0.86 16 LS Contribution 430.94 15.07 6.49 6.49 Total: 0.00 -10.19 430.94 -11.12 -21.31 By element: Atomic # 1 Polarization: -6.18 SS G_CDS: -5.58 Total: -11.76 kcal Atomic # 6 Polarization: 2.63 SS G_CDS: -3.56 Total: -0.93 kcal Atomic # 7 Polarization: -0.61 SS G_CDS: -0.28 Total: -0.89 kcal Atomic # 8 Polarization: -8.92 SS G_CDS: -2.91 Total: -11.83 kcal Atomic # 14 Polarization: 2.90 SS G_CDS: -5.29 Total: -2.39 kcal Total LS contribution 6.49 Total: 6.49 kcal Total: -10.19 -11.12 -21.31 kcal The number of atoms in the molecule is 51 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. s_7_15096578_13594088.mol2 51 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 -148.717 kcal (2) G-P(sol) polarization free energy of solvation -10.188 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -158.905 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -11.123 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -21.310 kcal (6) G-S(sol) free energy of system = (1) + (5) -170.027 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 3.34 seconds