Wall clock time and date at job start Sat Apr 11 2020 06:11:59 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 1.53007 * 1 3 3 N 1.46499 * 109.46883 * 2 1 4 4 C 1.37101 * 119.99940 * 95.61478 * 3 2 1 5 5 H 1.07997 * 119.99989 * 216.27506 * 4 3 2 6 6 C 1.38950 * 119.99841 * 36.26544 * 4 3 2 7 7 N 1.31412 * 119.99828 * 30.18987 * 6 4 3 8 8 Si 1.86803 * 119.99949 * 210.18503 * 6 4 3 9 9 H 1.48505 * 109.47235 * 270.00240 * 8 6 4 10 10 H 1.48499 * 109.46869 * 30.00307 * 8 6 4 11 11 H 1.48498 * 109.46905 * 150.00586 * 8 6 4 12 12 C 1.34776 * 120.00017 * 275.61103 * 3 2 1 13 13 O 1.21291 * 120.00188 * 355.21735 * 12 3 2 14 14 C 1.50702 * 119.99778 * 175.21687 * 12 3 2 15 15 H 1.08999 * 109.46035 * 46.59418 * 14 12 3 16 16 C 1.53033 * 109.46139 * 286.62055 * 14 12 3 17 17 C 1.53198 * 109.31705 * 178.60193 * 16 14 12 18 18 N 1.46930 * 108.75881 * 54.65242 * 17 16 14 19 19 C 1.34780 * 120.62736 * 126.41310 * 18 17 16 20 20 O 1.21507 * 119.99848 * 185.46139 * 19 18 17 21 21 O 1.34641 * 119.99963 * 5.46055 * 19 18 17 22 22 C 1.45196 * 116.99750 * 180.02562 * 21 19 18 23 23 C 1.53000 * 109.47163 * 59.99724 * 22 21 19 24 24 C 1.53008 * 109.47053 * 179.97438 * 22 21 19 25 25 C 1.52998 * 109.47261 * 299.99584 * 22 21 19 26 26 C 1.46923 * 118.74085 * 306.37978 * 18 17 16 27 27 H 1.08990 * 109.59324 * 293.82595 * 26 18 17 28 28 C 1.53000 * 109.70227 * 173.46965 * 26 18 17 29 29 C 1.53044 * 109.46044 * 166.56152 * 14 12 3 30 30 H 1.09003 * 109.46920 * 299.99434 * 1 2 3 31 31 H 1.08989 * 109.47124 * 59.99741 * 1 2 3 32 32 H 1.09005 * 109.46911 * 179.97438 * 1 2 3 33 33 H 1.08997 * 109.46797 * 239.99858 * 2 1 3 34 34 H 1.09002 * 109.47307 * 119.99962 * 2 1 3 35 35 H 0.96996 * 120.00674 * 3.68362 * 7 6 4 36 36 H 1.09001 * 109.49876 * 298.56525 * 16 14 12 37 37 H 1.09002 * 109.49958 * 58.66287 * 16 14 12 38 38 H 1.08999 * 109.59576 * 294.86852 * 17 16 14 39 39 H 1.08997 * 109.70392 * 174.50406 * 17 16 14 40 40 H 1.08997 * 109.47067 * 60.00036 * 23 22 21 41 41 H 1.09000 * 109.46939 * 179.97438 * 23 22 21 42 42 H 1.08991 * 109.47369 * 299.99938 * 23 22 21 43 43 H 1.08998 * 109.47048 * 59.99670 * 24 22 21 44 44 H 1.08997 * 109.46835 * 179.97438 * 24 22 21 45 45 H 1.09004 * 109.46799 * 300.00055 * 24 22 21 46 46 H 1.09004 * 109.47116 * 60.00292 * 25 22 21 47 47 H 1.08997 * 109.47549 * 179.97438 * 25 22 21 48 48 H 1.08998 * 109.47029 * 300.00445 * 25 22 21 49 49 H 1.09004 * 109.47086 * 302.22958 * 28 26 18 50 50 H 1.08995 * 109.47426 * 62.22943 * 28 26 18 51 51 H 1.09000 * 109.47488 * 182.23520 * 28 26 18 52 52 H 1.08997 * 109.49907 * 301.33992 * 29 14 12 53 53 H 1.09001 * 109.49016 * 61.40319 * 29 14 12 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 1.5301 0.0000 0.0000 3 7 2.0183 1.3812 0.0000 4 6 2.3563 1.9888 1.1816 5 1 2.1531 3.0396 1.3260 6 6 2.9602 1.2525 2.1935 7 7 3.7276 0.2289 1.8930 8 14 2.6813 1.7178 3.9811 9 1 3.7203 2.6893 4.4077 10 1 1.3379 2.3332 4.1285 11 1 2.7640 0.5008 4.8280 12 6 2.1353 2.0546 -1.1616 13 8 1.9198 1.4910 -2.2137 14 6 2.5340 3.5079 -1.1532 15 1 3.3861 3.6469 -0.4878 16 6 1.3591 4.3560 -0.6609 17 6 1.7791 5.8288 -0.6204 18 7 2.2866 6.2120 -1.9450 19 6 1.7813 7.2816 -2.5907 20 8 2.1378 7.5305 -3.7254 21 8 0.8815 8.0744 -1.9786 22 6 0.3797 9.2080 -2.7345 23 6 -0.3100 8.7084 -4.0055 24 6 -0.6249 9.9853 -1.8815 25 6 1.5448 10.1246 -3.1131 26 6 3.3558 5.4075 -2.5518 27 1 4.2681 5.5094 -1.9643 28 6 3.6114 5.8845 -3.9828 29 6 2.9182 3.9395 -2.5703 30 1 -0.3633 0.5138 0.8901 31 1 -0.3633 0.5138 -0.8899 32 1 -0.3633 -1.0277 -0.0005 33 1 1.8933 -0.5138 -0.8900 34 1 1.8934 -0.5138 0.8900 35 1 3.9157 0.0197 0.9648 36 1 0.5148 4.2369 -1.3398 37 1 1.0708 4.0326 0.3393 38 1 2.5630 5.9650 0.1247 39 1 0.9201 6.4490 -0.3647 40 1 -1.1400 8.0554 -3.7358 41 1 -0.6871 9.5593 -4.5727 42 1 0.4053 8.1544 -4.6133 43 1 -0.1340 10.3412 -0.9758 44 1 -1.0013 10.8365 -2.4488 45 1 -1.4549 9.3320 -1.6121 46 1 2.2602 9.5706 -3.7209 47 1 1.1682 10.9753 -3.6809 48 1 2.0362 10.4805 -2.2076 49 1 2.6893 5.8130 -4.5598 50 1 3.9496 6.9205 -3.9656 51 1 4.3771 5.2599 -4.4428 52 1 3.7396 3.3195 -2.9294 53 1 2.0591 3.8237 -3.2312 RHF calculation, no. of doubly occupied orbitals= 66 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 ZINC000930618668.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:59 Heat of formation + Delta-G solvation = -111.387279 kcal Electronic energy + Delta-G solvation = -32436.933416 eV Core-core repulsion = 28309.141042 eV Total energy + Delta-G solvation = -4127.792374 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -41.01041 -39.40399 -38.14041 -36.32589 -35.17058 -34.28654 -32.63211 -32.17429 -31.73427 -29.73221 -27.56223 -27.49475 -27.35591 -25.01091 -24.56578 -23.09768 -22.42763 -21.37584 -20.33101 -19.31759 -19.10703 -17.50347 -17.06845 -16.57671 -16.20156 -15.85336 -15.42610 -14.89827 -14.65934 -14.50451 -14.39408 -13.87729 -13.75766 -13.63999 -13.50040 -13.20233 -13.12836 -12.76559 -12.66380 -12.36261 -12.28095 -12.23998 -12.00018 -11.86258 -11.79579 -11.62742 -11.50848 -11.39090 -11.25576 -11.12535 -11.08841 -11.04025 -10.81296 -10.36652 -10.32696 -10.29983 -10.21868 -10.15758 -9.78338 -9.22343 -9.05574 -8.60404 -8.32056 -7.78281 -6.73698 -4.08549 2.21406 2.93442 3.20706 3.28609 3.44098 3.79602 3.85411 4.15218 4.54175 4.59573 4.63640 4.77659 4.92538 4.97817 5.14781 5.22922 5.30545 5.38490 5.38874 5.44119 5.48646 5.53295 5.55558 5.62882 5.72797 5.73004 5.82249 5.87934 5.93976 5.96367 6.03392 6.12419 6.16212 6.19328 6.20476 6.23496 6.32385 6.32972 6.43589 6.46293 6.49024 6.62188 6.63667 6.78339 6.82251 6.84429 7.00131 7.55247 7.62735 7.95115 8.36716 8.46084 8.94687 9.45140 9.81252 10.50433 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.014810 B = 0.003204 C = 0.002992 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1890.188990 B = 8738.335569 C = 9356.540436 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.154 4.154 2 C 0.102 3.898 3 N -0.447 5.447 4 C -0.437 4.437 5 H 0.087 0.913 6 C 0.018 3.982 7 N -0.860 5.860 8 Si 1.065 2.935 9 H -0.284 1.284 10 H -0.282 1.282 11 H -0.280 1.280 12 C 0.473 3.527 13 O -0.607 6.607 14 C -0.086 4.086 15 H 0.094 0.906 16 C -0.122 4.122 17 C 0.115 3.885 18 N -0.588 5.588 19 C 0.652 3.348 20 O -0.567 6.567 21 O -0.366 6.366 22 C 0.136 3.864 23 C -0.183 4.183 24 C -0.141 4.141 25 C -0.182 4.182 26 C 0.158 3.842 27 H 0.075 0.925 28 C -0.135 4.135 29 C -0.107 4.107 30 H 0.054 0.946 31 H 0.047 0.953 32 H 0.048 0.952 33 H 0.056 0.944 34 H 0.084 0.916 35 H 0.279 0.721 36 H 0.061 0.939 37 H 0.094 0.906 38 H 0.072 0.928 39 H 0.089 0.911 40 H 0.058 0.942 41 H 0.066 0.934 42 H 0.089 0.911 43 H 0.065 0.935 44 H 0.077 0.923 45 H 0.066 0.934 46 H 0.088 0.912 47 H 0.066 0.934 48 H 0.057 0.943 49 H 0.070 0.930 50 H 0.072 0.928 51 H 0.045 0.955 52 H 0.076 0.924 53 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.966 16.058 -4.424 17.380 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 -0.212 4.212 2 C -0.021 4.021 3 N -0.166 5.166 4 C -0.564 4.564 5 H 0.104 0.896 6 C -0.192 4.192 7 N -0.492 5.492 8 Si 0.891 3.109 9 H -0.211 1.211 10 H -0.208 1.208 11 H -0.205 1.205 12 C 0.262 3.738 13 O -0.493 6.493 14 C -0.107 4.107 15 H 0.112 0.888 16 C -0.161 4.161 17 C -0.007 4.007 18 N -0.328 5.328 19 C 0.408 3.592 20 O -0.458 6.458 21 O -0.281 6.281 22 C 0.099 3.901 23 C -0.240 4.240 24 C -0.198 4.198 25 C -0.239 4.239 26 C 0.057 3.943 27 H 0.093 0.907 28 C -0.192 4.192 29 C -0.146 4.146 30 H 0.073 0.927 31 H 0.066 0.934 32 H 0.067 0.933 33 H 0.074 0.926 34 H 0.102 0.898 35 H 0.090 0.910 36 H 0.080 0.920 37 H 0.112 0.888 38 H 0.091 0.909 39 H 0.107 0.893 40 H 0.077 0.923 41 H 0.085 0.915 42 H 0.107 0.893 43 H 0.084 0.916 44 H 0.096 0.904 45 H 0.085 0.915 46 H 0.107 0.893 47 H 0.085 0.915 48 H 0.076 0.924 49 H 0.089 0.911 50 H 0.091 0.909 51 H 0.064 0.936 52 H 0.095 0.905 53 H 0.090 0.910 Dipole moment (debyes) X Y Z Total from point charges -4.654 15.426 -3.702 16.533 hybrid contribution -0.390 0.390 -1.345 1.454 sum -5.044 15.817 -5.046 17.351 Atomic orbital electron populations 1.21999 0.97445 1.00341 1.01461 1.21319 0.93147 0.85610 1.02051 1.43585 1.55677 1.11656 1.05646 1.20244 1.45184 0.97943 0.93018 0.89566 1.26302 0.91884 0.95524 1.05500 1.70706 1.26087 1.29435 1.22990 0.83577 0.76609 0.76514 0.74157 1.21067 1.20786 1.20534 1.20343 0.80922 0.88908 0.83578 1.90520 1.56548 1.70664 1.31557 1.20924 0.99472 0.93336 0.97015 0.88806 1.21878 0.97819 0.93000 1.03384 1.21782 0.99701 0.96327 0.82922 1.47157 1.39104 1.26429 1.20112 1.18090 0.78124 0.80065 0.82955 1.90924 1.63190 1.74200 1.17437 1.86313 1.56103 1.38813 1.46899 1.21984 0.93693 0.83124 0.91266 1.22506 1.01650 1.02346 0.97487 1.21853 0.98227 0.99530 1.00158 1.22504 0.99095 0.99710 1.02580 1.21371 0.87727 0.89986 0.95263 0.90686 1.22219 1.02052 1.01016 0.93907 1.21812 1.02532 0.93228 0.97000 0.92667 0.93412 0.93267 0.92590 0.89774 0.91001 0.92034 0.88804 0.90932 0.89287 0.92280 0.91486 0.89267 0.91554 0.90399 0.91507 0.89290 0.91485 0.92350 0.91098 0.90949 0.93618 0.90507 0.91042 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 -3.08 10.20 37.16 0.38 -2.70 16 2 C 0.10 2.36 5.23 -4.04 -0.02 2.34 16 3 N -0.45 -10.68 2.32 -114.81 -0.27 -10.94 16 4 C -0.44 -10.44 7.98 -14.93 -0.12 -10.56 16 5 H 0.09 1.95 5.41 -52.49 -0.28 1.67 16 6 C 0.02 0.44 4.65 -17.47 -0.08 0.36 16 7 N -0.86 -22.70 12.35 55.50 0.69 -22.01 16 8 Si 1.07 21.53 30.01 -169.99 -5.10 16.42 16 9 H -0.28 -5.57 7.11 56.52 0.40 -5.16 16 10 H -0.28 -5.42 7.11 56.52 0.40 -5.02 16 11 H -0.28 -5.78 7.11 56.52 0.40 -5.38 16 12 C 0.47 11.04 6.83 -10.98 -0.07 10.96 16 13 O -0.61 -15.66 15.66 5.55 0.09 -15.57 16 14 C -0.09 -1.64 1.68 -91.73 -0.15 -1.79 16 15 H 0.09 1.83 7.51 -51.93 -0.39 1.44 16 16 C -0.12 -2.04 5.10 -26.61 -0.14 -2.17 16 17 C 0.11 1.61 6.43 -3.71 -0.02 1.59 16 18 N -0.59 -8.67 2.97 -170.97 -0.51 -9.18 16 19 C 0.65 9.70 7.65 54.06 0.41 10.12 16 20 O -0.57 -8.80 7.29 -19.28 -0.14 -8.94 16 21 O -0.37 -4.93 8.55 -40.33 -0.34 -5.28 16 22 C 0.14 1.48 1.13 -90.62 -0.10 1.38 16 23 C -0.18 -1.97 8.37 37.16 0.31 -1.66 16 24 C -0.14 -1.16 8.85 37.16 0.33 -0.83 16 25 C -0.18 -1.86 8.37 37.16 0.31 -1.55 16 26 C 0.16 2.34 3.49 -67.60 -0.24 2.11 16 27 H 0.08 1.05 8.14 -51.93 -0.42 0.62 16 28 C -0.13 -1.92 7.60 37.16 0.28 -1.64 16 29 C -0.11 -1.85 4.01 -26.61 -0.11 -1.96 16 30 H 0.05 1.09 8.14 -51.93 -0.42 0.66 16 31 H 0.05 0.98 8.14 -51.94 -0.42 0.56 16 32 H 0.05 0.85 8.14 -51.93 -0.42 0.42 16 33 H 0.06 1.33 7.53 -51.93 -0.39 0.94 16 34 H 0.08 2.03 5.79 -51.93 -0.30 1.73 16 35 H 0.28 7.61 7.52 -40.82 -0.31 7.30 16 36 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 37 H 0.09 1.64 5.99 -51.93 -0.31 1.32 16 38 H 0.07 0.95 8.14 -51.93 -0.42 0.53 16 39 H 0.09 1.15 6.97 -51.93 -0.36 0.79 16 40 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 41 H 0.07 0.58 8.14 -51.93 -0.42 0.15 16 42 H 0.09 1.17 5.88 -51.93 -0.31 0.86 16 43 H 0.07 0.53 8.14 -51.93 -0.42 0.11 16 44 H 0.08 0.49 8.14 -51.93 -0.42 0.07 16 45 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 46 H 0.09 1.10 5.88 -51.93 -0.31 0.80 16 47 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 48 H 0.06 0.58 8.14 -51.93 -0.42 0.16 16 49 H 0.07 1.12 6.88 -51.93 -0.36 0.76 16 50 H 0.07 1.05 6.63 -51.93 -0.34 0.71 16 51 H 0.05 0.59 8.14 -51.93 -0.42 0.17 16 52 H 0.08 1.36 8.14 -51.93 -0.42 0.94 16 53 H 0.07 1.35 8.00 -51.93 -0.42 0.94 16 LS Contribution 400.14 15.07 6.03 6.03 Total: -1.00 -28.47 400.14 -7.80 -36.27 By element: Atomic # 1 Polarization: 18.42 SS G_CDS: -9.21 Total: 9.21 kcal Atomic # 6 Polarization: 3.02 SS G_CDS: 0.97 Total: 3.99 kcal Atomic # 7 Polarization: -42.05 SS G_CDS: -0.09 Total: -42.13 kcal Atomic # 8 Polarization: -29.38 SS G_CDS: -0.40 Total: -29.78 kcal Atomic # 14 Polarization: 21.53 SS G_CDS: -5.10 Total: 16.42 kcal Total LS contribution 6.03 Total: 6.03 kcal Total: -28.47 -7.80 -36.27 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. ZINC000930618668.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 -75.121 kcal (2) G-P(sol) polarization free energy of solvation -28.469 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -103.590 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.797 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -36.266 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.387 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds