Wall clock time and date at job start Tue Mar 31 2020 19:30:30 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 1.52999 * 1 3 3 H 1.09004 * 109.47144 * 2 1 4 4 C 1.52998 * 109.47362 * 119.99981 * 2 1 3 5 5 C 1.50699 * 109.47065 * 295.00101 * 4 2 1 6 6 O 1.21280 * 119.99999 * 359.97438 * 5 4 2 7 7 N 1.34778 * 120.00358 * 179.97438 * 5 4 2 8 8 C 1.47200 * 135.99384 * 359.63176 * 7 5 4 9 9 C 1.53209 * 87.73304 * 153.42466 * 8 7 5 10 10 C 1.47148 * 136.00109 * 180.02562 * 7 5 4 11 11 C 1.52509 * 114.05588 * 139.66294 * 9 8 7 12 12 C 1.53190 * 109.36689 * 190.02288 * 11 9 8 13 13 C 1.53144 * 109.36034 * 301.11177 * 12 11 9 14 14 N 1.46907 * 109.07788 * 56.57340 * 13 12 11 15 15 C 1.36932 * 120.70551 * 124.51883 * 14 13 12 16 16 H 1.08002 * 119.99409 * 332.83405 * 15 14 13 17 17 C 1.38807 * 120.00559 * 152.82996 * 15 14 13 18 18 N 1.31624 * 119.99836 * 343.31858 * 17 15 14 19 19 Si 1.86799 * 120.00342 * 163.31356 * 17 15 14 20 20 H 1.48500 * 109.46766 * 90.00389 * 19 17 15 21 21 H 1.48497 * 109.47277 * 210.00170 * 19 17 15 22 22 H 1.48495 * 109.46931 * 330.00301 * 19 17 15 23 23 C 1.47147 * 118.60030 * 304.54676 * 14 13 12 24 24 C 1.53002 * 109.47155 * 240.00194 * 2 1 3 25 25 H 1.09003 * 109.86919 * 299.29592 * 24 2 1 26 26 C 1.54092 * 109.88123 * 60.30378 * 24 2 1 27 27 C 1.54818 * 104.18687 * 121.60599 * 26 24 2 28 28 C 1.54991 * 102.09418 * 20.88098 * 27 26 24 29 29 O 1.43751 * 110.00265 * 178.21660 * 24 2 1 30 30 H 1.09001 * 109.46685 * 179.97438 * 1 2 3 31 31 H 1.08999 * 109.47219 * 300.00351 * 1 2 3 32 32 H 1.09004 * 109.46712 * 60.00425 * 1 2 3 33 33 H 1.08998 * 109.46910 * 54.99826 * 4 2 1 34 34 H 1.08998 * 109.47295 * 174.99828 * 4 2 1 35 35 H 1.08989 * 113.49260 * 268.11522 * 8 7 5 36 36 H 1.09000 * 113.49080 * 38.63078 * 8 7 5 37 37 H 1.09002 * 113.48873 * 321.37329 * 10 7 5 38 38 H 1.08993 * 113.49357 * 91.81645 * 10 7 5 39 39 H 1.08994 * 109.48722 * 309.99141 * 11 9 8 40 40 H 1.09000 * 109.48663 * 70.05816 * 11 9 8 41 41 H 1.08997 * 109.49035 * 181.14420 * 12 11 9 42 42 H 1.09007 * 109.50736 * 61.08866 * 12 11 9 43 43 H 1.08995 * 109.53994 * 296.69381 * 13 12 11 44 44 H 1.09007 * 109.53608 * 176.44904 * 13 12 11 45 45 H 0.96995 * 120.00073 * 179.97438 * 18 17 15 46 46 H 1.08996 * 109.62961 * 291.52179 * 23 14 13 47 47 H 1.08993 * 109.63544 * 170.91677 * 23 14 13 48 48 H 1.08998 * 110.49306 * 240.27757 * 26 24 2 49 49 H 1.08994 * 110.49185 * 2.93161 * 26 24 2 50 50 H 1.08994 * 110.90523 * 139.08198 * 27 26 24 51 51 H 1.09005 * 110.90733 * 262.64749 * 27 26 24 52 52 H 1.09001 * 110.62069 * 81.47181 * 28 27 26 53 53 H 1.08990 * 110.62110 * 204.47835 * 28 27 26 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 1.5300 0.0000 0.0000 3 1 1.8933 1.0277 0.0000 4 6 2.0400 -0.7212 1.2492 5 6 1.6414 0.0571 2.4765 6 8 1.0117 1.0874 2.3632 7 7 1.9845 -0.3918 3.7002 8 6 2.7112 -1.5544 4.2361 9 6 3.0705 -0.6929 5.4511 10 6 1.7911 0.0616 5.0866 11 6 3.0010 -1.4349 6.7817 12 6 3.1310 -0.4303 7.9309 13 6 4.4612 0.3178 7.8032 14 7 4.5257 0.9609 6.4840 15 6 4.7466 2.3077 6.3728 16 1 4.4500 2.9713 7.1717 17 6 5.3519 2.8201 5.2336 18 7 6.0041 2.0190 4.4180 19 14 5.2409 4.6466 4.8580 20 1 6.3889 5.3511 5.4832 21 1 5.2749 4.8526 3.3878 22 1 3.9707 5.1879 5.4045 23 6 4.3472 0.1275 5.2846 24 6 2.0400 -0.7212 -1.2493 25 1 1.6906 -1.7537 -1.2496 26 6 1.5379 0.0023 -2.5137 27 6 2.8327 0.3861 -3.2707 28 6 3.8650 -0.6015 -2.6698 29 8 3.4768 -0.6916 -1.2820 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3633 0.5139 0.8899 32 1 -0.3633 0.5138 -0.8901 33 1 1.6054 -1.7197 1.2951 34 1 3.1263 -0.7995 1.2055 35 1 2.0642 -2.3976 4.4776 36 1 3.5738 -1.8423 3.6352 37 1 1.8746 1.1418 5.2062 38 1 0.8962 -0.3465 5.5564 39 1 2.0458 -1.9542 6.8589 40 1 3.8143 -2.1584 6.8375 41 1 3.1019 -0.9608 8.8826 42 1 2.3072 0.2823 7.8864 43 1 5.2867 -0.3864 7.9062 44 1 4.5286 1.0769 8.5826 45 1 6.4268 2.3769 3.6217 46 1 5.2006 -0.5414 5.1732 47 1 4.2608 0.7653 4.4050 48 1 0.9264 -0.6670 -3.1189 49 1 0.9747 0.8956 -2.2439 50 1 2.7187 0.2252 -4.3427 51 1 3.1139 1.4183 -3.0619 52 1 3.7906 -1.5758 -3.1531 53 1 4.8754 -0.2031 -2.7606 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 ZINC000982131264.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 19:30:30 Heat of formation + Delta-G solvation = -33.737566 kcal Electronic energy + Delta-G solvation = -31074.630702 eV Core-core repulsion = 27140.661525 eV Total energy + Delta-G solvation = -3933.969178 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.10 seconds Orbital eigenvalues (eV) -40.47249 -39.74305 -38.17002 -35.78937 -34.60290 -32.91247 -32.19198 -30.53454 -29.83576 -28.60880 -27.53387 -25.63418 -25.55173 -25.22470 -23.25093 -22.23279 -21.86429 -20.68511 -20.09006 -18.73304 -17.81942 -16.86317 -16.66501 -16.45354 -15.90218 -15.62300 -15.24354 -15.12592 -14.74426 -14.12176 -13.94624 -13.79026 -13.58356 -13.51406 -13.32410 -13.00012 -12.81635 -12.60292 -12.31297 -12.14943 -12.03092 -11.89402 -11.65335 -11.49008 -11.37904 -11.29974 -11.20845 -10.89260 -10.82931 -10.73242 -10.67594 -10.65181 -10.41149 -10.21305 -10.02366 -9.84907 -9.73543 -9.66455 -9.39913 -9.11371 -8.42718 -8.19057 -6.65432 -5.75521 -3.16456 3.09646 3.26903 3.42797 3.51435 3.53267 3.75606 4.41386 4.51572 4.53213 4.74894 4.77372 4.81564 4.90697 5.07202 5.15969 5.19421 5.32308 5.39041 5.43004 5.50313 5.53654 5.58065 5.59440 5.61366 5.62927 5.68528 5.72382 5.74336 5.77492 5.81679 5.87474 5.88159 5.99324 6.01336 6.13203 6.23256 6.30277 6.35120 6.40729 6.42782 6.44426 6.54527 6.64276 6.79108 6.87146 6.87357 7.00557 7.32714 7.66460 7.84421 8.24491 8.47826 8.62292 9.24489 9.88467 10.44092 11.33586 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011176 B = 0.003655 C = 0.003118 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2504.845786 B = 7658.482390 C = 8977.435367 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.152 4.152 2 C -0.072 4.072 3 H 0.086 0.914 4 C -0.126 4.126 5 C 0.543 3.457 6 O -0.547 6.547 7 N -0.638 5.638 8 C 0.104 3.896 9 C -0.111 4.111 10 C 0.118 3.882 11 C -0.092 4.092 12 C -0.134 4.134 13 C 0.144 3.856 14 N -0.589 5.589 15 C -0.254 4.254 16 H 0.065 0.935 17 C 0.007 3.993 18 N -0.901 5.901 19 Si 0.898 3.102 20 H -0.287 1.287 21 H -0.289 1.289 22 H -0.279 1.279 23 C 0.201 3.799 24 C 0.081 3.919 25 H 0.066 0.934 26 C -0.152 4.152 27 C -0.157 4.157 28 C 0.046 3.954 29 O -0.369 6.369 30 H 0.047 0.953 31 H 0.081 0.919 32 H 0.054 0.946 33 H 0.085 0.915 34 H 0.101 0.899 35 H 0.076 0.924 36 H 0.076 0.924 37 H 0.083 0.917 38 H 0.068 0.932 39 H 0.050 0.950 40 H 0.061 0.939 41 H 0.051 0.949 42 H 0.058 0.942 43 H 0.018 0.982 44 H 0.053 0.947 45 H 0.254 0.746 46 H 0.023 0.977 47 H 0.093 0.907 48 H 0.073 0.927 49 H 0.082 0.918 50 H 0.077 0.923 51 H 0.077 0.923 52 H 0.058 0.942 53 H 0.092 0.908 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -8.789 -11.328 -9.963 17.459 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 -0.209 4.209 2 C -0.091 4.091 3 H 0.104 0.896 4 C -0.166 4.166 5 C 0.333 3.667 6 O -0.425 6.425 7 N -0.372 5.372 8 C -0.020 4.020 9 C -0.113 4.113 10 C -0.004 4.004 11 C -0.130 4.130 12 C -0.173 4.173 13 C 0.018 3.982 14 N -0.312 5.312 15 C -0.383 4.383 16 H 0.083 0.917 17 C -0.192 4.192 18 N -0.545 5.545 19 Si 0.728 3.272 20 H -0.214 1.214 21 H -0.215 1.215 22 H -0.204 1.204 23 C 0.075 3.925 24 C 0.023 3.977 25 H 0.084 0.916 26 C -0.189 4.189 27 C -0.194 4.194 28 C -0.031 4.031 29 O -0.288 6.288 30 H 0.066 0.934 31 H 0.100 0.900 32 H 0.073 0.927 33 H 0.103 0.897 34 H 0.119 0.881 35 H 0.094 0.906 36 H 0.095 0.905 37 H 0.102 0.898 38 H 0.086 0.914 39 H 0.068 0.932 40 H 0.080 0.920 41 H 0.070 0.930 42 H 0.077 0.923 43 H 0.036 0.964 44 H 0.071 0.929 45 H 0.064 0.936 46 H 0.041 0.959 47 H 0.111 0.889 48 H 0.092 0.908 49 H 0.101 0.899 50 H 0.095 0.905 51 H 0.096 0.904 52 H 0.076 0.924 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges -8.947 -10.628 -10.218 17.246 hybrid contribution -0.133 0.769 -0.511 0.933 sum -9.081 -9.859 -10.729 17.169 Atomic orbital electron populations 1.21970 0.94069 1.01418 1.03416 1.21029 0.96103 1.00459 0.91530 0.89584 1.21579 1.03854 0.99214 0.91918 1.20128 0.78361 0.85410 0.82754 1.90636 1.41154 1.24971 1.85736 1.49544 1.56098 1.26551 1.05050 1.23145 0.95127 0.89718 0.94037 1.22759 0.99001 0.96356 0.93207 1.22902 0.96679 1.01971 0.78885 1.21215 1.00421 0.97285 0.94054 1.22020 1.00779 0.98107 0.96412 1.20889 0.93143 0.95058 0.89147 1.44012 1.82945 1.04839 0.99361 1.19120 1.32983 0.82244 1.03975 0.91710 1.24980 0.97191 0.97541 0.99476 1.69991 1.35485 1.34120 1.14922 0.86367 0.77875 0.85538 0.77469 1.21414 1.21539 1.20449 1.20442 0.88303 0.91811 0.91956 1.22817 0.81430 0.98500 0.94919 0.91588 1.23032 0.98157 1.01560 0.96196 1.23147 0.95271 1.00865 1.00159 1.23528 0.99124 0.98005 0.82431 1.88948 1.20221 1.95058 1.24552 0.93370 0.90014 0.92744 0.89701 0.88109 0.90557 0.90522 0.89835 0.91354 0.93161 0.92027 0.93046 0.92338 0.96437 0.92879 0.93636 0.95887 0.88934 0.90828 0.89907 0.90473 0.90388 0.92418 0.89012 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 -0.15 -1.88 8.68 37.16 0.32 -1.55 16 2 C -0.07 -0.99 1.69 -90.62 -0.15 -1.15 16 3 H 0.09 1.42 7.95 -51.93 -0.41 1.00 16 4 C -0.13 -1.86 4.94 -27.88 -0.14 -2.00 16 5 C 0.54 10.12 7.79 -10.99 -0.09 10.04 16 6 O -0.55 -11.94 14.74 5.56 0.08 -11.86 16 7 N -0.64 -11.47 3.48 -184.91 -0.64 -12.11 16 8 C 0.10 1.56 7.60 -8.02 -0.06 1.50 16 9 C -0.11 -1.96 0.96 -154.86 -0.15 -2.11 16 10 C 0.12 2.17 7.54 -8.19 -0.06 2.11 16 11 C -0.09 -1.39 5.11 -26.88 -0.14 -1.52 16 12 C -0.13 -2.18 6.03 -26.56 -0.16 -2.34 16 13 C 0.14 2.92 6.46 -3.75 -0.02 2.90 16 14 N -0.59 -14.50 3.01 -172.51 -0.52 -15.02 16 15 C -0.25 -7.01 9.60 -15.06 -0.14 -7.15 16 16 H 0.07 1.77 7.88 -52.49 -0.41 1.35 16 17 C 0.01 0.20 4.93 -17.43 -0.09 0.11 16 18 N -0.90 -26.54 11.16 55.49 0.62 -25.92 16 19 Si 0.90 22.70 29.59 -169.99 -5.03 17.67 16 20 H -0.29 -7.14 7.11 56.52 0.40 -6.74 16 21 H -0.29 -7.47 7.11 56.52 0.40 -7.07 16 22 H -0.28 -7.00 7.11 56.52 0.40 -6.60 16 23 C 0.20 4.65 4.43 -3.86 -0.02 4.64 16 24 C 0.08 0.94 2.97 -26.16 -0.08 0.86 16 25 H 0.07 0.69 8.14 -51.93 -0.42 0.27 16 26 C -0.15 -1.43 6.02 -25.20 -0.15 -1.59 16 27 C -0.16 -1.40 7.15 -24.72 -0.18 -1.58 16 28 C 0.05 0.46 7.72 38.21 0.29 0.76 16 29 O -0.37 -5.02 10.54 -35.23 -0.37 -5.40 16 30 H 0.05 0.51 8.14 -51.93 -0.42 0.09 16 31 H 0.08 1.24 5.95 -51.93 -0.31 0.93 16 32 H 0.05 0.58 6.56 -51.93 -0.34 0.24 16 33 H 0.08 1.04 8.14 -51.93 -0.42 0.62 16 34 H 0.10 1.59 7.62 -51.93 -0.40 1.20 16 35 H 0.08 0.93 8.10 -51.94 -0.42 0.51 16 36 H 0.08 1.13 8.12 -51.93 -0.42 0.71 16 37 H 0.08 1.85 8.11 -51.93 -0.42 1.43 16 38 H 0.07 1.09 8.06 -51.93 -0.42 0.67 16 39 H 0.05 0.64 8.09 -51.93 -0.42 0.22 16 40 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 41 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 42 H 0.06 1.00 8.03 -51.92 -0.42 0.58 16 43 H 0.02 0.36 8.14 -51.93 -0.42 -0.06 16 44 H 0.05 1.07 7.93 -51.92 -0.41 0.66 16 45 H 0.25 7.33 8.31 -40.82 -0.34 6.99 16 46 H 0.02 0.57 8.14 -51.93 -0.42 0.14 16 47 H 0.09 2.51 5.93 -51.93 -0.31 2.20 16 48 H 0.07 0.56 8.14 -51.93 -0.42 0.14 16 49 H 0.08 0.81 6.51 -51.93 -0.34 0.47 16 50 H 0.08 0.53 8.14 -51.93 -0.42 0.11 16 51 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 52 H 0.06 0.49 8.14 -51.93 -0.42 0.07 16 53 H 0.09 0.86 8.14 -51.93 -0.42 0.44 16 LS Contribution 404.32 15.07 6.09 6.09 Total: -1.00 -32.52 404.32 -10.43 -42.96 By element: Atomic # 1 Polarization: 11.32 SS G_CDS: -9.66 Total: 1.66 kcal Atomic # 6 Polarization: 2.93 SS G_CDS: -1.01 Total: 1.92 kcal Atomic # 7 Polarization: -52.50 SS G_CDS: -0.54 Total: -53.05 kcal Atomic # 8 Polarization: -16.96 SS G_CDS: -0.29 Total: -17.25 kcal Atomic # 14 Polarization: 22.70 SS G_CDS: -5.03 Total: 17.67 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -32.52 -10.43 -42.96 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. ZINC000982131264.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 9.219 kcal (2) G-P(sol) polarization free energy of solvation -32.524 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -23.306 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.432 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.956 kcal (6) G-S(sol) free energy of system = (1) + (5) -33.738 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.10 seconds