Wall clock time and date at job start Tue Mar 31 2020 19:27:50 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 1.52997 * 1 3 3 C 1.53001 * 109.47016 * 2 1 4 4 C 1.53003 * 109.46956 * 180.02562 * 3 2 1 5 5 H 1.08996 * 109.48423 * 54.97189 * 4 3 2 6 6 C 1.53087 * 109.47978 * 174.99929 * 4 3 2 7 7 C 1.53188 * 109.16351 * 177.58710 * 6 4 3 8 8 H 1.09000 * 109.54384 * 183.05991 * 7 6 4 9 9 C 1.50697 * 109.54080 * 62.88316 * 7 6 4 10 10 O 1.21286 * 120.00256 * 0.02562 * 9 7 6 11 11 N 1.34777 * 119.99973 * 180.02562 * 9 7 6 12 12 C 1.47854 * 134.36272 * 180.02562 * 11 9 7 13 13 C 1.52566 * 85.65912 * 156.36815 * 12 11 9 14 14 C 1.47846 * 134.36341 * 359.97438 * 11 9 7 15 15 C 1.53855 * 115.92267 * 265.01215 * 13 12 11 16 16 C 1.55146 * 101.41177 * 264.41760 * 15 13 12 17 17 N 1.47538 * 105.01541 * 324.35503 * 16 15 13 18 18 C 1.36935 * 125.66378 * 203.89857 * 17 16 15 19 19 H 1.08000 * 119.99923 * 170.05365 * 18 17 16 20 20 C 1.38809 * 119.99800 * 350.05076 * 18 17 16 21 21 N 1.31616 * 120.00204 * 350.39860 * 20 18 17 22 22 Si 1.86798 * 119.99813 * 170.39685 * 20 18 17 23 23 H 1.48501 * 109.47544 * 94.14145 * 22 20 18 24 24 H 1.48502 * 109.47236 * 214.14483 * 22 20 18 25 25 H 1.48501 * 109.47058 * 334.14125 * 22 20 18 26 26 C 1.47364 * 108.67569 * 23.92160 * 17 16 15 27 27 C 1.53174 * 109.03338 * 303.02052 * 7 6 4 28 28 C 1.53088 * 109.16900 * 56.98067 * 27 7 6 29 29 O 1.42905 * 109.41261 * 302.38845 * 28 27 7 30 30 H 1.09001 * 109.47041 * 300.00302 * 1 2 3 31 31 H 1.09000 * 109.47301 * 59.99817 * 1 2 3 32 32 H 1.09001 * 109.47368 * 180.02562 * 1 2 3 33 33 H 1.09001 * 109.47041 * 239.99698 * 2 1 3 34 34 H 1.09004 * 109.46906 * 119.99882 * 2 1 3 35 35 H 1.09001 * 109.47462 * 59.99956 * 3 2 1 36 36 H 1.09004 * 109.47186 * 299.99710 * 3 2 1 37 37 H 1.09000 * 109.52358 * 57.68412 * 6 4 3 38 38 H 1.09000 * 109.57671 * 297.52195 * 6 4 3 39 39 H 1.09000 * 113.84623 * 42.18418 * 12 11 9 40 40 H 1.09003 * 113.94930 * 270.56764 * 12 11 9 41 41 H 1.09001 * 113.83744 * 89.44757 * 14 11 9 42 42 H 1.09001 * 113.84700 * 317.81912 * 14 11 9 43 43 H 1.09002 * 111.02995 * 22.44866 * 15 13 12 44 44 H 1.08997 * 111.03724 * 146.37659 * 15 13 12 45 45 H 1.09001 * 110.33297 * 205.47301 * 16 15 13 46 46 H 1.08997 * 110.42600 * 83.29067 * 16 15 13 47 47 H 0.97000 * 119.99915 * 180.02562 * 21 20 18 48 48 H 1.09000 * 109.98407 * 238.60836 * 26 17 16 49 49 H 1.09005 * 109.98590 * 117.31165 * 26 17 16 50 50 H 1.08999 * 109.52007 * 176.88507 * 27 7 6 51 51 H 1.09003 * 109.52423 * 297.07160 * 27 7 6 52 52 H 1.08993 * 109.48585 * 182.40613 * 28 27 7 53 53 H 1.08998 * 109.49023 * 62.37252 * 28 27 7 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 6 2.0399 1.4425 0.0000 4 6 3.5700 1.4425 -0.0006 5 1 3.9332 0.8528 -0.8423 6 6 4.0804 2.8803 -0.1265 7 6 5.6111 2.8775 -0.0657 8 1 5.9792 3.9029 -0.1001 9 6 6.1607 2.1051 -1.2371 10 8 5.4042 1.6054 -2.0428 11 7 7.4929 1.9693 -1.3895 12 6 8.3567 1.3014 -2.3865 13 6 9.4342 2.2852 -1.9407 14 6 8.6729 2.4298 -0.6270 15 6 9.5676 3.5646 -2.7848 16 6 10.7084 3.1715 -3.7600 17 7 11.6195 2.3285 -2.9625 18 6 12.9499 2.1280 -3.2174 19 1 13.5694 1.6252 -2.4895 20 6 13.5022 2.5710 -4.4113 21 7 12.7208 3.0109 -5.3747 22 14 15.3546 2.5428 -4.6507 23 1 15.7473 1.2804 -5.3270 24 1 15.7634 3.7001 -5.4866 25 1 16.0258 2.6256 -3.3286 26 6 10.8601 1.7377 -1.8463 27 6 6.0580 2.2142 1.2406 28 6 5.4712 0.8021 1.3137 29 8 4.0470 0.8742 1.2208 30 1 -0.3633 0.5139 0.8900 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3634 -1.0277 0.0005 33 1 1.8933 -0.5139 -0.8900 34 1 1.8933 -0.5138 0.8900 35 1 1.6766 1.9564 0.8900 36 1 1.6766 1.9564 -0.8900 37 1 3.6845 3.4804 0.6928 38 1 3.7545 3.3017 -1.0774 39 1 8.0305 1.4423 -3.4169 40 1 8.5837 0.2620 -2.1495 41 1 8.9954 1.7345 0.1480 42 1 8.5954 3.4581 -0.2737 43 1 8.6449 3.7741 -3.3260 44 1 9.8573 4.4135 -2.1655 45 1 11.2283 4.0619 -4.1134 46 1 10.3104 2.6067 -4.6030 47 1 13.1068 3.3201 -6.2092 48 1 11.3082 2.0278 -0.8960 49 1 10.8488 0.6515 -1.9371 50 1 7.1463 2.1581 1.2669 51 1 5.7020 2.8008 2.0875 52 1 5.7508 0.3408 2.2608 53 1 5.8594 0.2039 0.4894 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 ZINC001073083480.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 19:27:50 Heat of formation + Delta-G solvation = -37.126767 kcal Electronic energy + Delta-G solvation = -30497.758187 eV Core-core repulsion = 26563.642042 eV Total energy + Delta-G solvation = -3934.116144 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.24 seconds Orbital eigenvalues (eV) -41.06302 -39.76061 -37.81845 -35.67650 -35.21139 -33.83984 -32.23353 -31.41940 -29.56185 -28.68710 -27.52439 -26.49676 -25.87937 -24.53789 -23.63809 -22.93175 -21.36097 -21.15571 -20.41821 -18.67828 -18.41517 -16.92148 -16.65628 -16.55365 -16.38785 -15.83382 -15.59640 -15.02566 -14.77772 -14.65981 -14.41431 -14.17328 -13.87476 -13.70841 -13.39078 -13.17997 -12.94128 -12.70806 -12.53199 -12.38490 -12.20551 -12.05712 -12.04250 -11.76123 -11.68181 -11.53037 -11.24384 -11.12328 -10.94328 -10.85812 -10.82375 -10.79668 -10.55757 -10.36448 -10.18228 -10.08035 -9.92007 -9.78608 -9.65724 -9.25241 -8.65251 -8.56559 -6.85694 -5.78830 -3.11677 2.61463 2.83553 3.36851 3.42781 3.44622 3.64228 4.23127 4.35934 4.44049 4.55478 4.57888 4.63616 4.73953 4.88721 4.90947 4.96682 5.07551 5.13152 5.15821 5.27911 5.37398 5.41762 5.43214 5.44484 5.47334 5.51025 5.55947 5.57086 5.58502 5.69578 5.71363 5.74462 5.78711 5.79569 5.84783 5.91686 5.93925 6.01183 6.11790 6.13769 6.19102 6.21194 6.42027 6.48820 6.62605 6.68354 7.13694 7.44041 7.53236 7.73822 7.76720 8.17172 8.20778 9.14515 9.76383 10.43553 11.34239 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.031754 B = 0.002192 C = 0.002151 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 881.560638 B =12769.091850 C =13016.320389 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 -0.123 4.123 3 C -0.108 4.108 4 C 0.079 3.921 5 H 0.085 0.915 6 C -0.127 4.127 7 C -0.107 4.107 8 H 0.099 0.901 9 C 0.536 3.464 10 O -0.544 6.544 11 N -0.637 5.637 12 C 0.125 3.875 13 C -0.100 4.100 14 C 0.113 3.887 15 C -0.121 4.121 16 C 0.175 3.825 17 N -0.602 5.602 18 C -0.230 4.230 19 H 0.076 0.924 20 C -0.007 4.007 21 N -0.917 5.917 22 Si 0.911 3.089 23 H -0.289 1.289 24 H -0.290 1.290 25 H -0.280 1.280 26 C 0.151 3.849 27 C -0.147 4.147 28 C 0.061 3.939 29 O -0.380 6.380 30 H 0.052 0.948 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.060 0.940 34 H 0.068 0.932 35 H 0.066 0.934 36 H 0.074 0.926 37 H 0.075 0.925 38 H 0.079 0.921 39 H 0.083 0.917 40 H 0.085 0.915 41 H 0.087 0.913 42 H 0.082 0.918 43 H 0.060 0.940 44 H 0.065 0.935 45 H 0.069 0.931 46 H 0.028 0.972 47 H 0.253 0.747 48 H 0.030 0.970 49 H 0.026 0.974 50 H 0.080 0.920 51 H 0.082 0.918 52 H 0.095 0.905 53 H 0.047 0.953 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -18.647 -0.781 14.383 23.563 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 -0.160 4.160 3 C -0.145 4.145 4 C 0.022 3.978 5 H 0.103 0.897 6 C -0.165 4.165 7 C -0.128 4.128 8 H 0.117 0.883 9 C 0.326 3.674 10 O -0.422 6.422 11 N -0.372 5.372 12 C 0.004 3.996 13 C -0.102 4.102 14 C -0.010 4.010 15 C -0.159 4.159 16 C 0.050 3.950 17 N -0.329 5.329 18 C -0.359 4.359 19 H 0.094 0.906 20 C -0.204 4.204 21 N -0.564 5.564 22 Si 0.741 3.259 23 H -0.216 1.216 24 H -0.216 1.216 25 H -0.206 1.206 26 C 0.024 3.976 27 C -0.185 4.185 28 C -0.015 4.015 29 O -0.299 6.299 30 H 0.071 0.929 31 H 0.071 0.929 32 H 0.071 0.929 33 H 0.079 0.921 34 H 0.086 0.914 35 H 0.085 0.915 36 H 0.093 0.907 37 H 0.093 0.907 38 H 0.098 0.902 39 H 0.101 0.899 40 H 0.103 0.897 41 H 0.105 0.895 42 H 0.100 0.900 43 H 0.079 0.921 44 H 0.084 0.916 45 H 0.087 0.913 46 H 0.046 0.954 47 H 0.063 0.937 48 H 0.048 0.952 49 H 0.044 0.956 50 H 0.098 0.902 51 H 0.101 0.899 52 H 0.113 0.887 53 H 0.066 0.934 Dipole moment (debyes) X Y Z Total from point charges -19.244 -1.041 13.943 23.787 hybrid contribution 1.317 0.148 -0.393 1.383 sum -17.927 -0.893 13.550 22.489 Atomic orbital electron populations 1.21778 0.96106 1.01450 1.01559 1.21475 0.95348 0.96713 1.02491 1.21599 0.92933 0.97643 1.02347 1.22425 0.94359 0.93293 0.87745 0.89719 1.21993 0.92891 0.98500 1.03149 1.21346 0.97252 1.00652 0.93561 0.88284 1.20236 0.80404 0.80408 0.86375 1.90647 1.56415 1.49921 1.45213 1.50193 1.03498 1.54307 1.29188 1.23066 0.85720 0.96748 0.94096 1.22431 0.95128 0.97821 0.94781 1.23160 0.81794 1.00247 0.95769 1.22689 1.00304 0.94436 0.98508 1.21447 0.87425 0.95448 0.90704 1.44554 1.06250 1.53278 1.28790 1.18999 0.82737 1.33727 1.00395 0.90581 1.24829 0.98098 1.01888 0.95551 1.69951 1.32975 1.48418 1.05073 0.86135 0.84952 0.77233 0.77604 1.21615 1.21625 1.20591 1.20999 0.88065 0.95757 0.92740 1.22211 1.01795 0.97889 0.96630 1.22506 0.81631 0.95351 1.02061 1.87880 1.20292 1.82583 1.39131 0.92889 0.92897 0.92903 0.92143 0.91373 0.91527 0.90720 0.90651 0.90203 0.89879 0.89730 0.89546 0.89983 0.92082 0.91590 0.91268 0.95436 0.93659 0.95187 0.95575 0.90161 0.89935 0.88719 0.93432 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 -1.17 9.91 37.16 0.37 -0.80 16 2 C -0.12 -1.16 5.83 -26.73 -0.16 -1.31 16 3 C -0.11 -1.04 4.92 -26.73 -0.13 -1.17 16 4 C 0.08 0.90 2.35 -26.68 -0.06 0.84 16 5 H 0.09 1.20 5.80 -51.93 -0.30 0.90 16 6 C -0.13 -1.33 4.56 -26.59 -0.12 -1.45 16 7 C -0.11 -1.13 2.87 -91.59 -0.26 -1.39 16 8 H 0.10 0.93 8.14 -51.93 -0.42 0.50 16 9 C 0.54 7.46 6.05 -10.99 -0.07 7.39 16 10 O -0.54 -9.33 14.57 5.55 0.08 -9.25 16 11 N -0.64 -8.56 3.58 -185.68 -0.66 -9.22 16 12 C 0.13 1.88 8.08 -3.52 -0.03 1.86 16 13 C -0.10 -1.55 0.97 -154.73 -0.15 -1.70 16 14 C 0.11 1.32 6.24 -3.55 -0.02 1.29 16 15 C -0.12 -2.10 6.42 -25.15 -0.16 -2.26 16 16 C 0.17 4.03 5.44 -2.34 -0.01 4.01 16 17 N -0.60 -14.60 3.41 -170.36 -0.58 -15.18 16 18 C -0.23 -6.20 10.24 -15.06 -0.15 -6.35 16 19 H 0.08 1.98 7.85 -52.49 -0.41 1.57 16 20 C -0.01 -0.19 5.40 -17.43 -0.09 -0.28 16 21 N -0.92 -26.41 10.68 55.49 0.59 -25.82 16 22 Si 0.91 21.58 29.56 -169.99 -5.03 16.56 16 23 H -0.29 -6.87 7.11 56.52 0.40 -6.47 16 24 H -0.29 -6.94 7.11 56.52 0.40 -6.54 16 25 H -0.28 -6.46 7.11 56.52 0.40 -6.06 16 26 C 0.15 2.83 6.75 -3.56 -0.02 2.81 16 27 C -0.15 -1.31 5.55 -26.60 -0.15 -1.46 16 28 C 0.06 0.63 6.62 37.20 0.25 0.87 16 29 O -0.38 -4.46 9.95 -35.23 -0.35 -4.81 16 30 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 31 H 0.05 0.39 8.14 -51.93 -0.42 -0.04 16 32 H 0.05 0.38 8.14 -51.93 -0.42 -0.05 16 33 H 0.06 0.61 8.14 -51.93 -0.42 0.19 16 34 H 0.07 0.69 7.83 -51.93 -0.41 0.28 16 35 H 0.07 0.60 8.14 -51.93 -0.42 0.18 16 36 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 37 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 38 H 0.08 0.87 8.03 -51.93 -0.42 0.46 16 39 H 0.08 1.37 8.12 -51.93 -0.42 0.95 16 40 H 0.08 1.19 8.00 -51.93 -0.42 0.78 16 41 H 0.09 0.85 7.90 -51.93 -0.41 0.44 16 42 H 0.08 0.84 8.12 -51.93 -0.42 0.42 16 43 H 0.06 1.02 8.06 -51.93 -0.42 0.60 16 44 H 0.07 1.09 8.14 -51.93 -0.42 0.67 16 45 H 0.07 1.79 6.94 -51.93 -0.36 1.43 16 46 H 0.03 0.70 8.06 -51.93 -0.42 0.28 16 47 H 0.25 7.09 8.31 -40.82 -0.34 6.75 16 48 H 0.03 0.54 8.09 -51.93 -0.42 0.12 16 49 H 0.03 0.50 7.86 -51.93 -0.41 0.09 16 50 H 0.08 0.65 6.06 -51.93 -0.31 0.34 16 51 H 0.08 0.64 8.14 -51.93 -0.42 0.22 16 52 H 0.09 0.79 8.14 -51.93 -0.42 0.37 16 53 H 0.05 0.56 7.38 -51.93 -0.38 0.18 16 LS Contribution 403.21 15.07 6.08 6.08 Total: -1.00 -31.17 403.21 -10.57 -41.74 By element: Atomic # 1 Polarization: 8.72 SS G_CDS: -9.71 Total: -0.99 kcal Atomic # 6 Polarization: 1.88 SS G_CDS: -0.98 Total: 0.90 kcal Atomic # 7 Polarization: -49.57 SS G_CDS: -0.65 Total: -50.22 kcal Atomic # 8 Polarization: -13.79 SS G_CDS: -0.27 Total: -14.06 kcal Atomic # 14 Polarization: 21.58 SS G_CDS: -5.03 Total: 16.56 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -31.17 -10.57 -41.74 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. ZINC001073083480.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 4.612 kcal (2) G-P(sol) polarization free energy of solvation -31.173 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -26.561 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.566 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.739 kcal (6) G-S(sol) free energy of system = (1) + (5) -37.127 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.24 seconds