Wall clock time and date at job start Tue Mar 9 2021 14:19:11 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 1.42892 * 1 3 3 Si 1.86304 * 109.47088 * 2 1 4 4 C 1.50697 * 109.47706 * 120.00336 * 2 1 3 5 5 C 1.35085 * 126.07864 * 255.27149 * 4 2 1 6 6 N 1.35037 * 107.98198 * 180.19357 * 5 4 2 7 7 C 1.46499 * 125.93314 * 179.83653 * 6 5 4 8 8 C 1.50700 * 109.47257 * 124.71328 * 7 6 5 9 9 O 1.21283 * 119.99803 * 359.97438 * 8 7 6 10 10 N 1.34777 * 119.99675 * 180.27849 * 8 7 6 11 11 C 1.46497 * 119.99525 * 179.72583 * 10 8 7 12 12 H 1.09007 * 109.47747 * 35.00142 * 11 10 8 13 13 C 1.53006 * 109.47036 * 154.99621 * 11 10 8 14 14 C 1.52998 * 109.47344 * 179.97438 * 13 11 10 15 15 C 1.52999 * 109.46921 * 300.00334 * 14 13 11 16 16 H 1.08999 * 109.47539 * 299.99851 * 15 14 13 17 17 C 1.53007 * 109.47279 * 180.02562 * 15 14 13 18 18 F 1.39890 * 109.47168 * 59.99394 * 17 15 14 19 19 F 1.39895 * 109.47348 * 180.02562 * 17 15 14 20 20 F 1.39902 * 109.46701 * 299.99898 * 17 15 14 21 21 C 1.52999 * 109.47579 * 59.99872 * 15 14 13 22 22 C 1.52998 * 109.47099 * 300.00018 * 21 15 14 23 23 N 1.40078 * 108.13807 * 359.56934 * 6 5 4 24 24 C 1.31626 * 108.10257 * 0.26750 * 23 6 5 25 25 C 1.48423 * 126.02973 * 179.97438 * 24 23 6 26 26 C 1.39324 * 120.11630 * 144.74894 * 25 24 23 27 27 C 1.38026 * 119.87261 * 179.71491 * 26 25 24 28 28 C 1.38314 * 120.12234 * 0.55550 * 27 26 25 29 29 C 1.38319 * 120.24213 * 359.71885 * 28 27 26 30 30 C 1.38024 * 120.11840 * 359.97438 * 29 28 27 31 31 H 0.96705 * 114.00051 * 299.99554 * 1 2 3 32 32 H 1.09008 * 109.46800 * 240.00470 * 2 1 3 33 33 H 1.48501 * 110.00056 * 178.68273 * 3 2 1 34 34 H 1.48498 * 109.99876 * 300.00420 * 3 2 1 35 35 H 1.08001 * 126.00913 * 0.06057 * 5 4 2 36 36 H 1.09009 * 109.46700 * 4.71222 * 7 6 5 37 37 H 1.08998 * 109.46827 * 244.71796 * 7 6 5 38 38 H 0.97000 * 119.99894 * 359.71837 * 10 8 7 39 39 H 1.09001 * 109.47081 * 299.99960 * 13 11 10 40 40 H 1.09002 * 109.47134 * 59.99771 * 13 11 10 41 41 H 1.09002 * 109.47122 * 59.99850 * 14 13 11 42 42 H 1.08998 * 109.47333 * 180.02562 * 14 13 11 43 43 H 1.09002 * 109.47185 * 60.00042 * 21 15 14 44 44 H 1.09001 * 109.47276 * 180.02562 * 21 15 14 45 45 H 1.09002 * 109.47122 * 300.00063 * 22 21 15 46 46 H 1.08998 * 109.47333 * 179.97438 * 22 21 15 47 47 H 1.07991 * 120.06019 * 359.97103 * 26 25 24 48 48 H 1.08001 * 119.93746 * 180.27712 * 27 26 25 49 49 H 1.08005 * 119.87948 * 179.69858 * 28 27 26 50 50 H 1.07997 * 119.94130 * 180.02562 * 29 28 27 51 51 H 1.08002 * 120.05724 * 179.97438 * 30 29 28 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 1.4289 0.0000 0.0000 3 14 2.0499 1.7565 0.0000 4 6 1.9314 -0.7104 1.2304 5 6 2.4583 -0.1248 2.3277 6 7 2.7897 -1.0993 3.2018 7 6 3.3958 -0.9013 4.5208 8 6 2.5430 -1.5662 5.5704 9 8 1.5285 -2.1477 5.2484 10 7 2.9044 -1.5093 6.8676 11 6 2.0722 -2.1506 7.8885 12 1 1.6357 -3.0627 7.4814 13 6 2.9333 -2.4963 9.1051 14 6 2.0640 -3.1654 10.1717 15 6 0.9468 -2.2087 10.5929 16 1 1.3835 -1.2967 10.9998 17 6 0.0779 -2.8775 11.6600 18 9 0.8655 -3.1932 12.7721 19 9 -0.9440 -2.0030 12.0447 20 9 -0.4827 -4.0483 11.1382 21 6 0.0857 -1.8630 9.3764 22 6 0.9549 -1.1939 8.3098 23 7 2.4477 -2.3319 2.6310 24 6 1.9301 -2.1028 1.4427 25 6 1.4332 -3.1304 0.4940 26 6 0.3269 -2.8632 -0.3096 27 6 -0.1273 -3.8203 -1.1944 28 6 0.5066 -5.0469 -1.2758 29 6 1.6019 -5.3195 -0.4763 30 6 2.0684 -4.3674 0.4074 31 1 -0.3933 0.4417 0.7651 32 1 1.7922 -0.5138 -0.8901 33 1 3.5345 1.7703 0.0321 34 1 1.5613 2.4679 -1.2084 35 1 2.5930 0.9361 2.4784 36 1 3.4659 0.1658 4.7320 37 1 4.3935 -1.3401 4.5317 38 1 3.7156 -1.0440 7.1251 39 1 3.7295 -3.1775 8.8049 40 1 3.3698 -1.5843 9.5123 41 1 1.6272 -4.0774 9.7648 42 1 2.6774 -3.4113 11.0385 43 1 -0.3512 -2.7750 8.9695 44 1 -0.7100 -1.1810 9.6764 45 1 1.3918 -0.2819 8.7167 46 1 0.3416 -0.9480 7.4430 47 1 -0.1717 -1.9076 -0.2434 48 1 -0.9821 -3.6127 -1.8211 49 1 0.1449 -5.7948 -1.9661 50 1 2.0935 -6.2787 -0.5442 51 1 2.9234 -4.5814 1.0316 There are 75 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 75 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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_12301704_12622748.mol2 51 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 14:19:11 Heat of formation + Delta-G solvation = -117.720350 kcal Electronic energy + Delta-G solvation = -39061.871805 eV Core-core repulsion = 33514.069610 eV Total energy + Delta-G solvation = -5547.802195 eV No. of doubly occupied orbitals = 75 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 410.160 amu Computer time = 1.33 seconds Orbital eigenvalues (eV) -51.08809 -48.57184 -48.54400 -42.45731 -41.17418 -39.68550 -39.30770 -37.74623 -35.66634 -34.75993 -32.42257 -32.18141 -31.92868 -31.51874 -31.14904 -28.74871 -26.55982 -25.79071 -24.23189 -24.08377 -23.30315 -22.96660 -21.78694 -21.53316 -21.33963 -20.81207 -19.35704 -19.24063 -18.80277 -18.65164 -18.38677 -17.67328 -17.57965 -16.80428 -16.77828 -16.35791 -16.09853 -15.89275 -15.71472 -15.64336 -15.44353 -15.36918 -15.22773 -15.09028 -14.95399 -14.74919 -14.73334 -14.71130 -14.60573 -14.41693 -14.19960 -14.04356 -13.97687 -13.81032 -13.68545 -13.59345 -13.47753 -13.28770 -12.69459 -12.48274 -12.40953 -12.31095 -12.20612 -11.95982 -11.85279 -11.83112 -11.64050 -11.42931 -11.20095 -10.57865 -10.27739 -10.25799 -9.67298 -9.62467 -9.14832 -5.08607 0.27375 0.71074 0.81863 1.19356 1.34750 1.40180 1.61934 1.70361 1.89002 1.93952 1.99553 2.73927 2.86387 2.94726 3.10424 3.25915 3.36291 3.44784 3.50644 3.53259 3.61272 3.71071 3.73231 3.80215 3.84145 3.90711 3.99875 4.05922 4.13556 4.13877 4.24387 4.27899 4.34737 4.44729 4.45811 4.49554 4.64238 4.68724 4.69585 4.78106 4.78954 4.83965 4.86182 4.95156 4.96002 5.02778 5.17336 5.25361 5.37890 5.46074 5.77615 5.80316 5.84479 5.86373 6.23360 6.25995 6.65413 6.70972 7.00802 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.539 6.539 2 C -0.028 4.028 3 Si 0.685 3.315 4 C -0.252 4.252 5 C 0.064 3.936 6 N -0.359 5.359 7 C 0.116 3.884 8 C 0.499 3.501 9 O -0.500 6.500 10 N -0.727 5.727 11 C 0.144 3.856 12 H 0.093 0.907 13 C -0.121 4.121 14 C -0.117 4.117 15 C -0.133 4.133 16 H 0.117 0.883 17 C 0.453 3.547 18 F -0.183 7.183 19 F -0.183 7.183 20 F -0.181 7.181 21 C -0.117 4.117 22 C -0.124 4.124 23 N -0.250 5.250 24 C 0.134 3.866 25 C -0.023 4.023 26 C -0.099 4.099 27 C -0.125 4.125 28 C -0.112 4.112 29 C -0.127 4.127 30 C -0.092 4.092 31 H 0.378 0.622 32 H 0.113 0.887 33 H -0.256 1.256 34 H -0.254 1.254 35 H 0.180 0.820 36 H 0.129 0.871 37 H 0.117 0.883 38 H 0.402 0.598 39 H 0.080 0.920 40 H 0.075 0.925 41 H 0.082 0.918 42 H 0.085 0.915 43 H 0.081 0.919 44 H 0.082 0.918 45 H 0.070 0.930 46 H 0.077 0.923 47 H 0.157 0.843 48 H 0.125 0.875 49 H 0.122 0.878 50 H 0.123 0.877 51 H 0.122 0.878 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.652 5.997 2.852 8.108 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 -0.345 6.345 2 C -0.139 4.139 3 Si 0.586 3.414 4 C -0.263 4.263 5 C -0.081 4.081 6 N -0.140 5.140 7 C -0.010 4.010 8 C 0.283 3.717 9 O -0.372 6.372 10 N -0.380 5.380 11 C 0.039 3.961 12 H 0.111 0.889 13 C -0.159 4.159 14 C -0.155 4.155 15 C -0.153 4.153 16 H 0.135 0.865 17 C 0.399 3.601 18 F -0.165 7.165 19 F -0.164 7.164 20 F -0.163 7.163 21 C -0.155 4.155 22 C -0.162 4.162 23 N -0.070 5.070 24 C -0.032 4.032 25 C -0.025 4.025 26 C -0.118 4.118 27 C -0.143 4.143 28 C -0.131 4.131 29 C -0.145 4.145 30 C -0.112 4.112 31 H 0.226 0.774 32 H 0.130 0.870 33 H -0.181 1.181 34 H -0.178 1.178 35 H 0.197 0.803 36 H 0.147 0.853 37 H 0.135 0.865 38 H 0.236 0.764 39 H 0.099 0.901 40 H 0.094 0.906 41 H 0.100 0.900 42 H 0.103 0.897 43 H 0.099 0.901 44 H 0.101 0.899 45 H 0.089 0.911 46 H 0.096 0.904 47 H 0.174 0.826 48 H 0.143 0.857 49 H 0.140 0.860 50 H 0.141 0.859 51 H 0.140 0.860 Dipole moment (debyes) X Y Z Total from point charges 4.872 5.008 2.684 7.485 hybrid contribution 0.242 0.098 -0.127 0.290 sum 5.113 5.106 2.557 7.665 Atomic orbital electron populations 1.86382 1.17749 1.80991 1.49409 1.24295 0.84505 1.09044 0.96104 0.95298 0.80679 0.77478 0.87895 1.20435 1.13426 0.93275 0.99190 1.22207 1.00292 0.95212 0.90365 1.47844 1.48555 1.04406 1.13232 1.21512 0.97151 1.03479 0.78845 1.20546 0.86679 0.81250 0.83272 1.90852 1.24799 1.40902 1.80649 1.45949 1.28260 1.57836 1.05991 1.21057 0.90942 0.96747 0.87320 0.88861 1.21746 0.98146 1.01804 0.94245 1.21565 0.95879 0.98178 0.99840 1.22563 0.96665 1.01205 0.94835 0.86531 1.20599 0.79661 0.77262 0.82602 1.93190 1.74054 1.93300 1.55929 1.93194 1.61944 1.69126 1.92159 1.93191 1.86392 1.50313 1.86364 1.21583 0.97803 1.02756 0.93407 1.21861 0.97035 0.98535 0.98809 1.77801 1.19147 1.01698 1.08387 1.20635 0.98032 0.92392 0.92158 1.17801 0.96753 0.92057 0.95853 1.21943 0.94931 1.01077 0.93872 1.21146 1.00345 0.93664 0.99164 1.21298 0.95745 0.97127 0.98900 1.21076 0.97344 0.99331 0.96791 1.21210 0.99671 0.92395 0.97905 0.77407 0.86966 1.18118 1.17809 0.80289 0.85304 0.86509 0.76399 0.90102 0.90644 0.89967 0.89677 0.90064 0.89928 0.91105 0.90416 0.82626 0.85721 0.86008 0.85869 0.85987 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 -0.54 0.01 10.10 -35.23 -0.36 -0.35 16 2 C -0.03 0.00 2.00 36.00 0.07 0.07 16 3 Si 0.68 -1.19 30.75 -169.99 -5.23 -6.41 16 4 C -0.25 -0.36 5.34 -104.76 -0.56 -0.92 16 5 C 0.06 -0.05 9.96 -17.26 -0.17 -0.22 16 6 N -0.36 -0.32 3.40 -62.58 -0.21 -0.53 16 7 C 0.12 -0.39 6.99 -5.19 -0.04 -0.42 16 8 C 0.50 -0.35 7.82 -10.98 -0.09 -0.44 16 9 O -0.50 -2.37 15.36 5.55 0.09 -2.28 16 10 N -0.73 2.80 5.08 -53.80 -0.27 2.53 16 11 C 0.14 -0.40 2.45 -67.93 -0.17 -0.56 16 12 H 0.09 0.01 7.58 -51.93 -0.39 -0.39 16 13 C -0.12 0.55 5.39 -26.73 -0.14 0.41 16 14 C -0.12 0.38 4.96 -26.73 -0.13 0.25 16 15 C -0.13 0.36 2.16 -90.62 -0.20 0.16 16 16 H 0.12 -0.48 8.14 -51.93 -0.42 -0.90 16 17 C 0.45 0.03 2.69 37.16 0.10 0.13 16 18 F -0.18 -0.19 16.80 2.25 0.04 -0.15 16 19 F -0.18 -0.24 16.80 2.25 0.04 -0.20 16 20 F -0.18 -0.27 16.28 2.25 0.04 -0.23 16 21 C -0.12 0.26 4.96 -26.73 -0.13 0.13 16 22 C -0.12 0.34 5.49 -26.73 -0.15 0.19 16 23 N -0.25 -1.21 11.63 33.43 0.39 -0.82 16 24 C 0.13 0.58 6.74 -82.78 -0.56 0.03 16 25 C -0.02 -0.11 5.80 -104.89 -0.61 -0.71 16 26 C -0.10 -0.38 8.94 -39.26 -0.35 -0.73 16 27 C -0.13 -0.36 10.03 -39.63 -0.40 -0.76 16 28 C -0.11 -0.28 10.04 -39.52 -0.40 -0.68 16 29 C -0.13 -0.37 10.03 -39.63 -0.40 -0.77 16 30 C -0.09 -0.39 9.75 -39.26 -0.38 -0.77 16 31 H 0.38 -1.35 8.70 45.56 0.40 -0.96 16 32 H 0.11 0.16 7.84 -51.92 -0.41 -0.25 16 33 H -0.26 -0.16 7.11 56.52 0.40 0.24 16 34 H -0.25 -0.43 7.11 56.52 0.40 -0.03 16 35 H 0.18 -0.94 6.41 -52.49 -0.34 -1.27 16 36 H 0.13 -0.99 8.07 -51.92 -0.42 -1.41 16 37 H 0.12 -0.60 8.14 -51.93 -0.42 -1.02 16 38 H 0.40 -2.88 8.60 -40.82 -0.35 -3.23 16 39 H 0.08 -0.37 8.14 -51.93 -0.42 -0.79 16 40 H 0.07 -0.44 8.14 -51.93 -0.42 -0.86 16 41 H 0.08 -0.20 7.80 -51.93 -0.41 -0.60 16 42 H 0.08 -0.30 7.80 -51.93 -0.41 -0.70 16 43 H 0.08 -0.09 7.80 -51.93 -0.41 -0.50 16 44 H 0.08 -0.18 7.80 -51.93 -0.41 -0.58 16 45 H 0.07 -0.28 8.14 -51.93 -0.42 -0.70 16 46 H 0.08 -0.05 8.14 -51.93 -0.42 -0.47 16 47 H 0.16 0.51 4.52 -52.49 -0.24 0.27 16 48 H 0.12 0.13 8.06 -52.49 -0.42 -0.30 16 49 H 0.12 0.05 8.06 -52.48 -0.42 -0.37 16 50 H 0.12 0.11 8.06 -52.49 -0.42 -0.31 16 51 H 0.12 0.46 8.06 -52.49 -0.42 0.04 16 LS Contribution 425.99 15.07 6.42 6.42 Total: 0.00 -12.22 425.99 -10.55 -22.77 By element: Atomic # 1 Polarization: -8.32 SS G_CDS: -6.79 Total: -15.11 kcal Atomic # 6 Polarization: -0.92 SS G_CDS: -4.69 Total: -5.62 kcal Atomic # 7 Polarization: 1.27 SS G_CDS: -0.10 Total: 1.17 kcal Atomic # 8 Polarization: -2.36 SS G_CDS: -0.27 Total: -2.63 kcal Atomic # 9 Polarization: -0.70 SS G_CDS: 0.11 Total: -0.59 kcal Atomic # 14 Polarization: -1.19 SS G_CDS: -5.23 Total: -6.41 kcal Total LS contribution 6.42 Total: 6.42 kcal Total: -12.22 -10.55 -22.77 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_22_12301704_12622748.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 -94.954 kcal (2) G-P(sol) polarization free energy of solvation -12.218 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.172 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.549 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -22.767 kcal (6) G-S(sol) free energy of system = (1) + (5) -117.720 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.33 seconds