Wall clock time and date at job start Tue Mar 9 2021 13:06:31 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= 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 C 2 2 C 1.17396 * 1 3 3 C 1.47200 * 179.97438 * 2 1 4 4 O 1.42893 * 109.47122 * 66.80140 * 3 2 1 5 5 C 1.42900 * 114.00135 * 179.97438 * 4 3 2 6 6 H 1.09001 * 109.47240 * 330.00027 * 5 4 3 7 7 C 1.53009 * 109.47167 * 89.99814 * 5 4 3 8 8 C 1.53002 * 109.47090 * 180.02562 * 7 5 4 9 9 C 1.52996 * 109.47141 * 300.00105 * 8 7 5 10 10 H 1.09001 * 109.47066 * 300.00262 * 9 8 7 11 11 N 1.46496 * 109.47084 * 180.02562 * 9 8 7 12 12 C 1.34777 * 120.00271 * 84.99619 * 11 9 8 13 13 O 1.21278 * 119.99854 * 0.02562 * 12 11 9 14 14 C 1.50703 * 120.00161 * 180.02562 * 12 11 9 15 15 O 1.42898 * 109.47171 * 180.02562 * 14 12 11 16 16 C 1.35897 * 117.00481 * 180.02562 * 15 14 12 17 17 C 1.38742 * 120.03212 * 179.72602 * 16 15 14 18 18 C 1.50700 * 119.97132 * 359.97072 * 17 16 15 19 19 O 1.42898 * 109.46853 * 75.00537 * 18 17 16 20 20 Si 1.86302 * 109.47180 * 195.00214 * 18 17 16 21 21 C 1.38201 * 120.05694 * 179.71855 * 17 16 15 22 22 C 1.38152 * 120.10462 * 0.55360 * 21 17 16 23 23 C 1.38802 * 120.05755 * 359.72295 * 22 21 17 24 24 O 1.35896 * 120.02843 * 180.02562 * 23 22 21 25 25 C 1.42903 * 117.00261 * 359.97293 * 24 23 22 26 26 C 1.38612 * 119.94132 * 359.97438 * 23 22 21 27 27 C 1.53002 * 109.47405 * 60.00131 * 9 8 7 28 28 C 1.52998 * 109.47476 * 209.99764 * 5 4 3 29 29 H 4.38440 * 5.44433 * 179.97438 * 4 1 2 30 30 H 1.08999 * 109.47422 * 306.79681 * 3 2 1 31 31 H 1.09004 * 109.47086 * 186.80247 * 3 2 1 32 32 H 1.09004 * 109.46811 * 300.00511 * 7 5 4 33 33 H 1.09001 * 109.46866 * 59.99984 * 7 5 4 34 34 H 1.09002 * 109.46730 * 180.02562 * 8 7 5 35 35 H 1.08999 * 109.46674 * 60.00484 * 8 7 5 36 36 H 0.97005 * 120.00266 * 265.00202 * 11 9 8 37 37 H 1.09002 * 109.47152 * 60.00245 * 14 12 11 38 38 H 1.09001 * 109.46980 * 300.00345 * 14 12 11 39 39 H 1.08991 * 109.47683 * 315.00187 * 18 17 16 40 40 H 0.96699 * 114.00558 * 59.99552 * 19 18 17 41 41 H 1.48500 * 110.00246 * 180.02562 * 20 18 17 42 42 H 1.48503 * 109.99781 * 301.32039 * 20 18 17 43 43 H 1.07990 * 119.95063 * 180.27252 * 21 17 16 44 44 H 1.07998 * 119.97417 * 179.69826 * 22 21 17 45 45 H 1.08988 * 109.47563 * 180.02562 * 25 24 23 46 46 H 1.09003 * 109.47385 * 300.00803 * 25 24 23 47 47 H 1.09003 * 109.46702 * 60.00084 * 25 24 23 48 48 H 1.07998 * 120.04829 * 179.97438 * 26 23 22 49 49 H 1.08997 * 109.46609 * 59.99617 * 27 9 8 50 50 H 1.09002 * 109.47469 * 179.97438 * 27 9 8 51 51 H 1.09002 * 109.46949 * 60.00275 * 28 5 4 52 52 H 1.08997 * 109.47585 * 300.00411 * 28 5 4 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 1.1740 0.0000 0.0000 3 6 2.6460 0.0007 0.0000 4 8 3.1225 -0.5298 -1.2383 5 6 4.5471 -0.5731 -1.3423 6 1 4.9790 0.2378 -0.7558 7 6 5.0567 -1.9144 -0.8109 8 6 6.5820 -1.9605 -0.9216 9 6 6.9919 -1.8036 -2.3872 10 1 6.5603 -2.6145 -2.9740 11 7 8.4524 -1.8483 -2.4933 12 6 9.0859 -3.0349 -2.5775 13 8 8.4470 -4.0656 -2.5658 14 6 10.5883 -3.0809 -2.6860 15 8 11.0190 -4.4413 -2.7620 16 6 12.3563 -4.6604 -2.8640 17 6 12.8439 -5.9573 -2.9362 18 6 11.8899 -7.1234 -2.9007 19 8 11.2263 -7.2343 -4.1613 20 14 12.8372 -8.6905 -2.5576 21 6 14.2034 -6.1806 -3.0458 22 6 15.0809 -5.1139 -3.0723 23 6 14.5984 -3.8147 -2.9946 24 8 15.4621 -2.7659 -3.0213 25 6 16.8534 -3.0736 -3.1301 26 6 13.2349 -3.5881 -2.8910 27 6 6.4824 -0.4624 -2.9186 28 6 4.9565 -0.4165 -2.8081 29 1 -1.0499 -0.0002 -0.0001 30 1 3.0096 -0.6147 0.8229 31 1 3.0088 1.0213 0.1217 32 1 4.7650 -2.0259 0.2335 33 1 4.6248 -2.7253 -1.3974 34 1 6.9450 -2.9162 -0.5434 35 1 7.0135 -1.1496 -0.3348 36 1 8.9635 -1.0239 -2.5030 37 1 11.0306 -2.6079 -1.8092 38 1 10.9042 -2.5495 -3.5838 39 1 11.1520 -6.9654 -2.1143 40 1 11.8230 -7.3764 -4.9089 41 1 11.9077 -9.8481 -2.5207 42 1 13.8680 -8.9007 -3.6058 43 1 14.5807 -7.1906 -3.1062 44 1 16.1432 -5.2910 -3.1531 45 1 17.4303 -2.1490 -3.1401 46 1 17.1585 -3.6827 -2.2792 47 1 17.0325 -3.6240 -4.0537 48 1 12.8577 -2.5780 -2.8300 49 1 6.9139 0.3485 -2.3318 50 1 6.7748 -0.3504 -3.9627 51 1 4.5935 0.5390 -3.1866 52 1 4.5246 -1.2274 -3.3946 There are 70 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 70 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_22_14940684_4974312.mol2 52 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 13:06:31 Heat of formation + Delta-G solvation = -96.833523 kcal Electronic energy + Delta-G solvation = -33788.070065 eV Core-core repulsion = 29108.104522 eV Total energy + Delta-G solvation = -4679.965542 eV No. of doubly occupied orbitals = 70 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 376.181 amu Computer time = 1.07 seconds Orbital eigenvalues (eV) -41.82595 -41.15392 -40.24673 -39.66688 -38.35635 -37.74023 -36.89678 -35.04209 -33.90083 -32.29153 -31.96544 -31.55877 -30.47870 -28.86691 -28.48151 -27.54002 -26.06911 -24.08226 -23.85081 -22.98613 -22.45802 -21.57663 -21.12987 -19.96616 -19.37446 -18.58791 -18.05234 -17.90966 -17.81869 -17.50522 -17.34292 -16.92216 -16.77970 -16.63034 -16.43005 -16.30307 -15.91079 -15.62149 -15.47368 -15.15060 -15.02587 -14.84486 -14.64805 -14.46854 -14.31090 -13.83704 -13.65829 -13.54272 -13.49920 -13.40095 -13.31454 -13.12814 -12.72044 -12.58266 -12.37112 -12.27521 -12.24680 -11.97400 -11.87015 -11.70522 -11.68278 -11.53070 -11.34904 -11.26371 -10.82943 -10.45392 -10.36963 -10.13124 -9.69615 -9.07847 -4.88524 0.21293 0.33498 1.39760 1.41351 1.53003 1.56521 1.63223 1.88084 2.05422 2.14648 2.53736 2.58901 2.86978 3.44220 3.46838 3.56884 3.59117 3.65126 3.68531 3.79325 3.86936 3.91371 3.93462 4.00975 4.03288 4.04462 4.05220 4.13570 4.13937 4.23978 4.25539 4.30203 4.34353 4.37695 4.40475 4.41059 4.51716 4.54823 4.69285 4.77249 4.86430 4.92606 4.99851 5.02799 5.04265 5.08337 5.18099 5.22192 5.23206 5.28625 5.39588 5.46114 6.11403 6.15056 6.30106 6.39230 6.63680 6.64392 7.13142 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.169 4.169 2 C -0.199 4.199 3 C 0.173 3.827 4 O -0.375 6.375 5 C 0.089 3.911 6 H 0.066 0.934 7 C -0.140 4.140 8 C -0.127 4.127 9 C 0.145 3.855 10 H 0.094 0.906 11 N -0.726 5.726 12 C 0.516 3.484 13 O -0.506 6.506 14 C 0.037 3.963 15 O -0.272 6.272 16 C 0.193 3.807 17 C -0.182 4.182 18 C -0.059 4.059 19 O -0.521 6.521 20 Si 0.686 3.314 21 C -0.043 4.043 22 C -0.239 4.239 23 C 0.174 3.826 24 O -0.315 6.315 25 C 0.025 3.975 26 C -0.247 4.247 27 C -0.123 4.123 28 C -0.113 4.113 29 H 0.223 0.777 30 H 0.074 0.926 31 H 0.074 0.926 32 H 0.069 0.931 33 H 0.077 0.923 34 H 0.074 0.926 35 H 0.067 0.933 36 H 0.402 0.598 37 H 0.096 0.904 38 H 0.095 0.905 39 H 0.118 0.882 40 H 0.369 0.631 41 H -0.257 1.257 42 H -0.261 1.261 43 H 0.138 0.862 44 H 0.134 0.866 45 H 0.103 0.897 46 H 0.060 0.940 47 H 0.058 0.942 48 H 0.138 0.862 49 H 0.072 0.928 50 H 0.079 0.921 51 H 0.078 0.922 52 H 0.077 0.923 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.760 5.481 2.378 8.299 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 -0.186 4.186 2 C -0.199 4.199 3 C 0.098 3.902 4 O -0.295 6.295 5 C 0.032 3.968 6 H 0.084 0.916 7 C -0.178 4.178 8 C -0.166 4.166 9 C 0.041 3.959 10 H 0.112 0.888 11 N -0.379 5.379 12 C 0.301 3.699 13 O -0.379 6.379 14 C -0.042 4.042 15 O -0.183 6.183 16 C 0.146 3.854 17 C -0.183 4.183 18 C -0.169 4.169 19 O -0.326 6.326 20 Si 0.588 3.412 21 C -0.060 4.060 22 C -0.258 4.258 23 C 0.128 3.872 24 O -0.228 6.228 25 C -0.069 4.069 26 C -0.267 4.267 27 C -0.161 4.161 28 C -0.151 4.151 29 H 0.239 0.761 30 H 0.092 0.908 31 H 0.092 0.908 32 H 0.088 0.912 33 H 0.095 0.905 34 H 0.093 0.907 35 H 0.085 0.915 36 H 0.236 0.764 37 H 0.114 0.886 38 H 0.113 0.887 39 H 0.135 0.865 40 H 0.216 0.784 41 H -0.182 1.182 42 H -0.186 1.186 43 H 0.156 0.844 44 H 0.152 0.848 45 H 0.121 0.879 46 H 0.078 0.922 47 H 0.077 0.923 48 H 0.156 0.844 49 H 0.091 0.909 50 H 0.097 0.903 51 H 0.096 0.904 52 H 0.096 0.904 Dipole moment (debyes) X Y Z Total from point charges 4.677 3.998 2.338 6.582 hybrid contribution 0.496 0.975 -0.946 1.446 sum 5.174 4.973 1.393 7.310 Atomic orbital electron populations 1.25050 0.95984 0.99883 0.97674 1.22508 0.93899 1.01264 1.02268 1.19110 0.84840 0.98716 0.87569 1.87999 1.21261 1.84410 1.35823 1.22199 0.80362 0.97011 0.97229 0.91635 1.22015 0.95173 0.98455 1.02196 1.21884 0.95412 1.03116 0.96167 1.21079 0.78818 0.99088 0.96946 0.88824 1.45878 1.07906 1.08063 1.76081 1.20001 0.88833 0.84140 0.76961 1.90808 1.67341 1.32840 1.46899 1.22529 0.93484 0.84125 1.04091 1.86265 1.19334 1.25444 1.87232 1.18398 0.81847 0.92613 0.92531 1.19510 0.94281 0.92951 1.11546 1.24817 1.00069 1.02724 0.89301 1.86703 1.36251 1.93838 1.15830 0.95216 0.79767 0.76430 0.89816 1.20783 0.91327 0.99273 0.94663 1.21120 1.00810 0.91478 1.12397 1.18694 0.89373 0.86470 0.92641 1.86074 1.17624 1.31458 1.87630 1.23147 0.78609 1.03550 1.01644 1.20392 0.91104 0.99276 1.15907 1.21780 0.95572 0.96378 1.02346 1.21521 0.94406 1.03905 0.95271 0.76074 0.90807 0.90790 0.91185 0.90457 0.90705 0.91462 0.76417 0.88616 0.88694 0.86455 0.78406 1.18187 1.18637 0.84445 0.84784 0.87879 0.92158 0.92300 0.84415 0.90916 0.90279 0.90357 0.90396 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 C -0.17 -0.26 19.25 29.55 0.57 0.31 16 2 C -0.20 -0.52 13.73 -37.12 -0.51 -1.03 16 3 C 0.17 0.10 6.22 34.37 0.21 0.32 16 4 O -0.38 -0.75 9.95 -35.23 -0.35 -1.10 16 5 C 0.09 -0.06 2.61 -26.73 -0.07 -0.13 16 6 H 0.07 -0.14 7.79 -51.93 -0.40 -0.55 16 7 C -0.14 0.05 5.54 -26.73 -0.15 -0.10 16 8 C -0.13 0.10 5.49 -26.73 -0.15 -0.05 16 9 C 0.14 -0.13 2.45 -67.93 -0.17 -0.30 16 10 H 0.09 0.15 7.58 -51.93 -0.39 -0.24 16 11 N -0.73 1.23 5.08 -53.81 -0.27 0.95 16 12 C 0.52 0.84 7.87 -10.98 -0.09 0.76 16 13 O -0.51 -3.41 16.16 -14.35 -0.23 -3.64 16 14 C 0.04 -0.01 5.22 36.01 0.19 0.17 16 15 O -0.27 -0.92 8.99 -39.32 -0.35 -1.27 16 16 C 0.19 0.45 6.66 -39.24 -0.26 0.19 16 17 C -0.18 -0.34 5.27 -104.45 -0.55 -0.89 16 18 C -0.06 -0.14 2.37 36.01 0.09 -0.05 16 19 O -0.52 -2.13 12.88 -35.23 -0.45 -2.58 16 20 Si 0.69 0.20 30.25 -169.99 -5.14 -4.94 16 21 C -0.04 -0.01 8.65 -39.63 -0.34 -0.36 16 22 C -0.24 -0.03 9.04 -39.40 -0.36 -0.38 16 23 C 0.17 0.20 6.68 -39.24 -0.26 -0.06 16 24 O -0.32 -0.25 10.49 -19.41 -0.20 -0.46 16 25 C 0.03 -0.06 9.81 101.05 0.99 0.93 16 26 C -0.25 -0.28 8.97 -39.29 -0.35 -0.63 16 27 C -0.12 0.34 5.39 -26.70 -0.14 0.20 16 28 C -0.11 0.15 5.58 -26.70 -0.15 0.00 16 29 H 0.22 -0.43 7.80 -54.09 -0.42 -0.85 16 30 H 0.07 -0.07 7.87 -51.93 -0.41 -0.48 16 31 H 0.07 -0.09 8.08 -51.93 -0.42 -0.51 16 32 H 0.07 -0.04 7.87 -51.93 -0.41 -0.45 16 33 H 0.08 0.08 8.14 -51.93 -0.42 -0.34 16 34 H 0.07 0.10 8.14 -51.93 -0.42 -0.32 16 35 H 0.07 -0.13 8.14 -51.93 -0.42 -0.56 16 36 H 0.40 -1.99 8.60 -40.82 -0.35 -2.34 16 37 H 0.10 -0.29 7.66 -51.93 -0.40 -0.69 16 38 H 0.10 -0.24 7.66 -51.93 -0.40 -0.64 16 39 H 0.12 0.37 7.82 -51.93 -0.41 -0.04 16 40 H 0.37 0.23 8.70 45.56 0.40 0.62 16 41 H -0.26 -0.97 7.11 56.52 0.40 -0.57 16 42 H -0.26 -0.32 6.67 56.52 0.38 0.05 16 43 H 0.14 -0.18 4.85 -52.49 -0.25 -0.44 16 44 H 0.13 -0.27 6.29 -52.49 -0.33 -0.60 16 45 H 0.10 -0.41 8.14 -51.94 -0.42 -0.84 16 46 H 0.06 -0.21 7.66 -51.93 -0.40 -0.60 16 47 H 0.06 -0.19 7.66 -51.93 -0.40 -0.59 16 48 H 0.14 -0.12 6.30 -52.49 -0.33 -0.45 16 49 H 0.07 -0.30 8.14 -51.93 -0.42 -0.72 16 50 H 0.08 -0.24 8.14 -51.93 -0.42 -0.66 16 51 H 0.08 -0.11 8.14 -51.93 -0.42 -0.54 16 52 H 0.08 -0.01 8.14 -51.93 -0.42 -0.44 16 LS Contribution 429.74 15.07 6.48 6.48 Total: 0.00 -11.47 429.74 -9.96 -21.43 By element: Atomic # 1 Polarization: -5.83 SS G_CDS: -7.93 Total: -13.76 kcal Atomic # 6 Polarization: 0.41 SS G_CDS: -1.50 Total: -1.09 kcal Atomic # 7 Polarization: 1.23 SS G_CDS: -0.27 Total: 0.95 kcal Atomic # 8 Polarization: -7.47 SS G_CDS: -1.59 Total: -9.06 kcal Atomic # 14 Polarization: 0.20 SS G_CDS: -5.14 Total: -4.94 kcal Total LS contribution 6.48 Total: 6.48 kcal Total: -11.47 -9.96 -21.43 kcal The number of atoms in the molecule is 52 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_22_14940684_4974312.mol2 52 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 -75.407 kcal (2) G-P(sol) polarization free energy of solvation -11.466 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -86.873 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.960 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -21.426 kcal (6) G-S(sol) free energy of system = (1) + (5) -96.834 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds