Wall clock time and date at job start Sat Mar 6 2021 19:54:39 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.50705 * 1 3 3 C 1.37782 * 119.85069 * 2 1 4 4 C 1.39709 * 119.90703 * 179.74141 * 3 2 1 5 5 C 1.47536 * 120.19039 * 180.23021 * 4 3 2 6 6 O 1.21599 * 119.99836 * 180.02562 * 5 4 3 7 7 N 1.34773 * 120.00250 * 0.02562 * 5 4 3 8 8 C 1.46502 * 119.99860 * 179.97438 * 7 5 4 9 9 H 1.08990 * 112.85286 * 25.32992 * 8 7 5 10 10 C 1.53779 * 113.60979 * 156.52930 * 8 7 5 11 11 C 1.53781 * 87.08173 * 139.97809 * 10 8 7 12 12 H 1.09004 * 113.61996 * 89.11346 * 11 10 8 13 13 C 1.53004 * 113.61529 * 220.01485 * 11 10 8 14 14 N 1.46500 * 109.47336 * 184.99627 * 13 11 10 15 15 C 1.34767 * 120.00122 * 179.97438 * 14 13 11 16 16 O 1.21511 * 120.00409 * 0.02562 * 15 14 13 17 17 O 1.34641 * 120.00039 * 180.02562 * 15 14 13 18 18 C 1.45197 * 116.99989 * 180.02562 * 17 15 14 19 19 C 1.53001 * 109.47606 * 59.99737 * 18 17 15 20 20 C 1.53001 * 109.47212 * 179.97438 * 18 17 15 21 21 C 1.53006 * 109.47053 * 299.99968 * 18 17 15 22 22 C 1.53783 * 113.61238 * 254.12938 * 8 7 5 23 23 C 1.40143 * 119.61686 * 0.26302 * 4 3 2 24 24 O 1.35655 * 120.14823 * 179.97438 * 23 4 3 25 25 C 1.38704 * 119.69803 * 359.97438 * 23 4 3 26 26 C 1.50701 * 119.95557 * 180.02562 * 25 23 4 27 27 O 1.42904 * 109.46983 * 284.99959 * 26 25 23 28 28 Si 1.86304 * 109.47111 * 164.99953 * 26 25 23 29 29 C 1.38053 * 120.08455 * 0.02562 * 25 23 4 30 30 H 1.08996 * 109.46729 * 89.99722 * 1 2 3 31 31 H 1.08997 * 109.47221 * 209.99944 * 1 2 3 32 32 H 1.09001 * 109.46850 * 330.00415 * 1 2 3 33 33 H 1.08002 * 120.04937 * 0.02727 * 3 2 1 34 34 H 0.96999 * 119.99664 * 359.97438 * 7 5 4 35 35 H 1.09009 * 113.61288 * 254.52089 * 10 8 7 36 36 H 1.08995 * 113.62255 * 25.43065 * 10 8 7 37 37 H 1.09002 * 109.47190 * 305.00062 * 13 11 10 38 38 H 1.08998 * 109.46758 * 64.99687 * 13 11 10 39 39 H 0.97004 * 119.99465 * 0.02562 * 14 13 11 40 40 H 1.09001 * 109.46757 * 59.99441 * 19 18 17 41 41 H 1.08995 * 109.47593 * 180.02562 * 19 18 17 42 42 H 1.09004 * 109.46844 * 300.00405 * 19 18 17 43 43 H 1.09007 * 109.46965 * 59.99558 * 20 18 17 44 44 H 1.09004 * 109.47006 * 179.97438 * 20 18 17 45 45 H 1.08993 * 109.46835 * 299.99945 * 20 18 17 46 46 H 1.08997 * 109.46905 * 60.00085 * 21 18 17 47 47 H 1.08994 * 109.47196 * 180.02562 * 21 18 17 48 48 H 1.09001 * 109.46595 * 299.99902 * 21 18 17 49 49 H 1.09001 * 113.61199 * 334.57544 * 22 8 7 50 50 H 1.09007 * 113.61197 * 105.46854 * 22 8 7 51 51 H 0.96695 * 114.00127 * 89.99520 * 24 23 4 52 52 H 1.09002 * 109.47079 * 45.00074 * 26 25 23 53 53 H 0.96695 * 113.99903 * 300.00140 * 27 26 25 54 54 H 1.48503 * 109.99840 * 58.68323 * 28 26 25 55 55 H 1.48499 * 109.99950 * 179.97438 * 28 26 25 56 56 H 1.07999 * 119.80281 * 180.02562 * 29 25 23 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 1.5070 0.0000 0.0000 3 6 2.1928 1.1950 0.0000 4 6 3.5899 1.1964 0.0055 5 6 4.3306 2.4724 0.0106 6 8 5.5466 2.4695 0.0149 7 7 3.6595 3.6411 0.0106 8 6 4.3950 4.9081 0.0163 9 1 5.3943 4.8193 -0.4097 10 6 3.5887 6.0909 -0.5455 11 6 4.2000 6.9408 0.5809 12 1 5.1466 7.4087 0.3104 13 6 3.2109 7.9212 1.2148 14 7 3.9126 8.7624 2.1875 15 6 3.2376 9.7059 2.8734 16 8 2.0469 9.8586 2.6855 17 8 3.8826 10.4793 3.7670 18 6 3.0922 11.4743 4.4695 19 6 1.9787 10.7793 5.2555 20 6 3.9902 12.2498 5.4356 21 6 2.4748 12.4422 3.4580 22 6 4.3657 5.6313 1.3731 23 6 4.2837 -0.0212 0.0053 24 8 5.6402 -0.0325 0.0101 25 6 3.5771 -1.2148 0.0003 26 6 4.3172 -2.5275 0.0007 27 8 4.8600 -2.7687 -1.2991 28 14 3.1426 -3.9026 0.4481 29 6 2.1966 -1.2017 -0.0051 30 1 -0.3632 0.0000 -1.0276 31 1 -0.3633 -0.8900 0.5138 32 1 -0.3633 0.8900 0.5138 33 1 1.6512 2.1294 0.0004 34 1 2.6895 3.6434 0.0068 35 1 3.9019 6.3982 -1.5433 36 1 2.5096 5.9637 -0.4599 37 1 2.7746 8.5499 0.4386 38 1 2.4206 7.3649 1.7188 39 1 4.8633 8.6407 2.3373 40 1 2.4185 10.0897 5.9760 41 1 1.3851 11.5262 5.7825 42 1 1.3389 10.2265 4.5675 43 1 4.7838 12.7450 4.8760 44 1 3.3968 12.9971 5.9626 45 1 4.4296 11.5600 6.1561 46 1 1.8350 11.8894 2.7701 47 1 1.8819 13.1894 3.9853 48 1 3.2682 12.9374 2.8981 49 1 3.4994 5.3780 1.9843 50 1 5.3053 5.5678 1.9221 51 1 6.0304 -0.0375 0.8948 52 1 5.1258 -2.4885 0.7306 53 1 4.1957 -2.8159 -2.0001 54 1 2.0185 -3.9460 -0.5214 55 1 3.8602 -5.2027 0.4514 56 1 1.6510 -2.1337 -0.0085 There are 74 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 74 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=WATER s_22_13437770_13422088.mol2 56 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Mar 6 2021 19:54:39 Heat of formation + Delta-G solvation = -143.167156 kcal Electronic energy + Delta-G solvation = -36622.169279 eV Core-core repulsion = 31691.919551 eV Total energy + Delta-G solvation = -4930.249728 eV No. of doubly occupied orbitals = 74 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 393.208 amu Computer time = 1.46 seconds Orbital eigenvalues (eV) -41.90023 -41.74903 -40.73962 -39.41937 -38.28442 -38.03388 -37.76031 -35.93683 -35.03124 -34.37259 -33.05897 -32.58021 -29.02831 -28.37264 -28.30838 -27.53101 -26.80078 -26.71846 -25.60353 -23.76434 -22.74021 -22.00614 -21.51848 -21.32899 -20.48405 -19.64681 -19.12434 -18.42042 -18.06524 -17.73416 -17.49043 -17.31615 -16.89681 -16.80372 -16.33095 -16.10470 -15.96851 -15.95494 -15.73482 -15.52106 -15.40988 -14.98230 -14.89285 -14.67936 -14.43334 -14.41581 -14.22458 -13.59141 -13.47705 -13.43347 -13.38651 -13.34173 -13.15289 -12.99712 -12.91105 -12.89286 -12.87200 -12.52922 -12.50573 -12.38529 -12.25618 -12.20021 -11.83271 -11.74354 -11.69911 -11.45269 -11.39200 -11.12802 -10.98855 -10.53144 -10.25949 -10.20026 -9.97692 -9.50213 -4.95902 -0.34841 0.07782 1.17538 1.24459 1.54278 1.70796 1.75362 1.92990 2.09907 2.55826 3.11936 3.17003 3.33546 3.42368 3.52215 3.58163 3.60982 3.73823 3.75064 3.77479 3.78987 3.82308 3.93934 4.11241 4.16984 4.20860 4.36279 4.42260 4.50991 4.52328 4.60712 4.62547 4.63156 4.71786 4.75426 4.75826 4.80942 4.81698 4.83915 4.86860 4.87362 4.89161 4.97887 4.98874 5.06366 5.08463 5.17250 5.20589 5.24829 5.26434 5.28620 5.36909 5.42644 5.56036 5.59224 5.68407 6.38392 6.45543 6.47439 6.73996 7.16653 7.33128 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.118 4.118 2 C -0.095 4.095 3 C -0.060 4.060 4 C -0.182 4.182 5 C 0.555 3.445 6 O -0.565 6.565 7 N -0.703 5.703 8 C 0.116 3.884 9 H 0.095 0.905 10 C -0.122 4.122 11 C -0.109 4.109 12 H 0.112 0.888 13 C 0.152 3.848 14 N -0.701 5.701 15 C 0.641 3.359 16 O -0.595 6.595 17 O -0.371 6.371 18 C 0.127 3.873 19 C -0.179 4.179 20 C -0.138 4.138 21 C -0.180 4.180 22 C -0.142 4.142 23 C 0.165 3.835 24 O -0.492 6.492 25 C -0.155 4.155 26 C -0.084 4.084 27 O -0.547 6.547 28 Si 0.783 3.217 29 C -0.080 4.080 30 H 0.079 0.921 31 H 0.082 0.918 32 H 0.085 0.915 33 H 0.160 0.840 34 H 0.413 0.587 35 H 0.087 0.913 36 H 0.108 0.892 37 H 0.070 0.930 38 H 0.071 0.929 39 H 0.416 0.584 40 H 0.061 0.939 41 H 0.086 0.914 42 H 0.064 0.936 43 H 0.068 0.932 44 H 0.098 0.902 45 H 0.069 0.931 46 H 0.064 0.936 47 H 0.086 0.914 48 H 0.061 0.939 49 H 0.093 0.907 50 H 0.068 0.932 51 H 0.402 0.598 52 H 0.114 0.886 53 H 0.383 0.617 54 H -0.268 1.268 55 H -0.305 1.305 56 H 0.153 0.847 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -6.622 1.246 3.565 7.623 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 -0.174 4.174 2 C -0.095 4.095 3 C -0.079 4.079 4 C -0.186 4.186 5 C 0.344 3.656 6 O -0.445 6.445 7 N -0.355 5.355 8 C 0.011 3.989 9 H 0.113 0.887 10 C -0.161 4.161 11 C -0.128 4.128 12 H 0.130 0.870 13 C 0.030 3.970 14 N -0.361 5.361 15 C 0.395 3.605 16 O -0.486 6.486 17 O -0.286 6.286 18 C 0.091 3.909 19 C -0.237 4.237 20 C -0.195 4.195 21 C -0.237 4.237 22 C -0.181 4.181 23 C 0.118 3.882 24 O -0.304 6.304 25 C -0.156 4.156 26 C -0.192 4.192 27 O -0.355 6.355 28 Si 0.687 3.313 29 C -0.098 4.098 30 H 0.098 0.902 31 H 0.101 0.899 32 H 0.104 0.896 33 H 0.177 0.823 34 H 0.252 0.748 35 H 0.105 0.895 36 H 0.126 0.874 37 H 0.089 0.911 38 H 0.089 0.911 39 H 0.252 0.748 40 H 0.080 0.920 41 H 0.105 0.895 42 H 0.083 0.917 43 H 0.087 0.913 44 H 0.117 0.883 45 H 0.088 0.912 46 H 0.083 0.917 47 H 0.105 0.895 48 H 0.080 0.920 49 H 0.112 0.888 50 H 0.087 0.913 51 H 0.261 0.739 52 H 0.132 0.868 53 H 0.232 0.768 54 H -0.194 1.194 55 H -0.233 1.233 56 H 0.171 0.829 Dipole moment (debyes) X Y Z Total from point charges -6.216 0.682 3.006 6.939 hybrid contribution 0.714 0.130 -0.787 1.071 sum -5.502 0.812 2.219 5.988 Atomic orbital electron populations 1.20923 0.88090 1.04810 1.03605 1.20109 0.98060 0.91777 0.99518 1.21426 0.90978 0.99858 0.95590 1.20456 0.95073 0.92678 1.10362 1.18353 0.86930 0.84511 0.75817 1.90809 1.15004 1.87954 1.50701 1.45798 1.10742 1.04603 1.74397 1.22516 0.97121 0.81352 0.97930 0.88659 1.23306 1.01293 0.92643 0.98831 1.22559 0.99834 0.93459 0.96970 0.87005 1.21374 0.94380 0.91278 0.89936 1.44769 1.13711 1.35300 1.42288 1.18366 0.83859 0.79636 0.78663 1.90903 1.15187 1.72562 1.69929 1.86313 1.43410 1.47197 1.51680 1.22349 0.91337 0.85792 0.91472 1.22470 0.98673 1.02030 1.00494 1.21895 0.99839 0.99922 0.97875 1.22472 1.01818 0.99489 0.99916 1.23597 1.03215 0.94686 0.96621 1.18549 0.83494 0.90830 0.95303 1.84763 1.15463 1.96064 1.34111 1.20649 0.94595 0.95065 1.05253 1.25303 1.05889 1.00108 0.87868 1.86639 1.38005 1.93550 1.17300 0.94087 0.75529 0.73184 0.88497 1.21406 0.92238 0.99735 0.96402 0.90208 0.89899 0.89626 0.82283 0.74811 0.89456 0.87351 0.91137 0.91081 0.74762 0.91989 0.89473 0.91683 0.91255 0.88305 0.91231 0.91695 0.89472 0.92017 0.88827 0.91343 0.73871 0.86788 0.76818 1.19380 1.23299 0.82947 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.12 1.18 10.00 71.24 0.71 1.89 16 2 C -0.09 0.47 5.87 -19.90 -0.12 0.36 16 3 C -0.06 0.24 9.18 22.52 0.21 0.45 16 4 C -0.18 -0.56 5.89 -20.01 -0.12 -0.67 16 5 C 0.56 3.25 7.76 86.70 0.67 3.92 16 6 O -0.57 -8.24 14.78 16.89 0.25 -7.99 16 7 N -0.70 1.47 5.31 -443.20 -2.35 -0.89 16 8 C 0.12 -0.31 4.21 45.52 0.19 -0.12 16 9 H 0.10 0.24 7.50 -2.39 -0.02 0.22 16 10 C -0.12 0.96 7.39 31.12 0.23 1.19 16 11 C -0.11 0.79 3.75 -10.21 -0.04 0.75 16 12 H 0.11 -0.91 8.14 -2.38 -0.02 -0.93 16 13 C 0.15 -0.58 5.51 86.38 0.48 -0.11 16 14 N -0.70 0.54 5.56 -590.86 -3.28 -2.75 16 15 C 0.64 3.82 8.06 129.79 1.05 4.86 16 16 O -0.59 -6.54 11.88 19.81 0.24 -6.30 16 17 O -0.37 -1.95 9.94 -55.51 -0.55 -2.50 16 18 C 0.13 0.34 1.13 -10.79 -0.01 0.33 16 19 C -0.18 -0.49 8.37 71.98 0.60 0.11 16 20 C -0.14 0.29 8.85 71.98 0.64 0.93 16 21 C -0.18 -0.52 8.37 71.98 0.60 0.09 16 22 C -0.14 0.69 7.44 31.18 0.23 0.92 16 23 C 0.16 0.93 6.69 22.84 0.15 1.08 16 24 O -0.49 -4.69 10.91 -68.79 -0.75 -5.44 16 25 C -0.15 -0.19 5.27 -19.80 -0.10 -0.29 16 26 C -0.08 -0.11 2.38 71.24 0.17 0.06 16 27 O -0.55 -3.49 12.88 -148.98 -1.92 -5.41 16 28 Si 0.78 -2.35 30.24 68.60 2.07 -0.27 16 29 C -0.08 0.26 8.30 22.30 0.19 0.45 16 30 H 0.08 -0.82 8.14 -2.39 -0.02 -0.84 16 31 H 0.08 -0.94 8.08 -2.39 -0.02 -0.96 16 32 H 0.08 -1.04 8.08 -2.39 -0.02 -1.06 16 33 H 0.16 -1.71 6.40 -2.91 -0.02 -1.73 16 34 H 0.41 -3.51 6.74 -92.71 -0.63 -4.13 16 35 H 0.09 -0.68 8.14 -2.38 -0.02 -0.70 16 36 H 0.11 -1.17 8.07 -2.39 -0.02 -1.19 16 37 H 0.07 -0.17 8.14 -2.39 -0.02 -0.19 16 38 H 0.07 -0.21 7.85 -2.39 -0.02 -0.23 16 39 H 0.42 -1.88 8.58 -92.71 -0.80 -2.68 16 40 H 0.06 0.13 8.14 -2.39 -0.02 0.11 16 41 H 0.09 -0.06 8.14 -2.39 -0.02 -0.08 16 42 H 0.06 0.50 5.88 -2.39 -0.01 0.49 16 43 H 0.07 -0.15 8.14 -2.38 -0.02 -0.17 16 44 H 0.10 -0.54 8.14 -2.39 -0.02 -0.56 16 45 H 0.07 -0.16 8.14 -2.39 -0.02 -0.18 16 46 H 0.06 0.52 5.88 -2.39 -0.01 0.50 16 47 H 0.09 -0.05 8.14 -2.39 -0.02 -0.07 16 48 H 0.06 0.14 8.14 -2.39 -0.02 0.12 16 49 H 0.09 -0.51 7.90 -2.39 -0.02 -0.53 16 50 H 0.07 -0.18 8.14 -2.38 -0.02 -0.20 16 51 H 0.40 1.06 9.06 -74.06 -0.67 0.39 16 52 H 0.11 0.08 7.83 -2.39 -0.02 0.06 16 53 H 0.38 0.02 8.70 -74.06 -0.64 -0.62 16 54 H -0.27 0.42 6.68 99.48 0.66 1.08 16 55 H -0.30 -1.64 7.11 99.48 0.71 -0.93 16 56 H 0.15 -1.07 4.83 -2.91 -0.01 -1.09 16 Total: 0.00 -29.07 448.83 -2.36 -31.43 By element: Atomic # 1 Polarization: -14.29 SS G_CDS: -1.79 Total: -16.08 kcal Atomic # 6 Polarization: 10.47 SS G_CDS: 5.73 Total: 16.20 kcal Atomic # 7 Polarization: 2.01 SS G_CDS: -5.64 Total: -3.63 kcal Atomic # 8 Polarization: -24.91 SS G_CDS: -2.74 Total: -27.65 kcal Atomic # 14 Polarization: -2.35 SS G_CDS: 2.07 Total: -0.27 kcal Total: -29.07 -2.36 -31.43 kcal The number of atoms in the molecule is 56 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_13437770_13422088.mol2 56 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 -111.736 kcal (2) G-P(sol) polarization free energy of solvation -29.069 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -140.805 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -2.362 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -31.431 kcal (6) G-S(sol) free energy of system = (1) + (5) -143.167 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.46 seconds