Wall clock time and date at job start Tue Mar 31 2020 19:54:45 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 1.52995 * 1 3 3 H 1.08999 * 109.81132 * 2 1 4 4 C 1.53022 * 109.64474 * 239.47312 * 2 1 3 5 5 C 1.50062 * 110.14797 * 190.87660 * 4 2 1 6 6 C 1.29444 * 124.07756 * 17.13789 * 5 4 2 7 7 C 1.50170 * 124.14589 * 359.74993 * 6 5 4 8 8 C 1.53027 * 110.09294 * 16.72393 * 7 6 5 9 9 H 1.08998 * 109.64490 * 70.67085 * 8 7 6 10 10 C 1.50698 * 109.64287 * 191.09552 * 8 7 6 11 11 O 1.21283 * 120.00109 * 82.55159 * 10 8 7 12 12 N 1.34776 * 119.99670 * 262.55937 * 10 8 7 13 13 C 1.46498 * 120.00266 * 5.23181 * 12 10 8 14 14 C 1.50702 * 109.47304 * 265.57115 * 13 12 10 15 15 H 1.08001 * 120.00013 * 334.44832 * 14 13 12 16 16 C 1.37871 * 119.99802 * 154.72079 * 14 13 12 17 17 N 1.31515 * 120.00107 * 174.51441 * 16 14 13 18 18 Si 1.86804 * 120.00278 * 354.51681 * 16 14 13 19 19 H 1.48500 * 109.47035 * 92.70668 * 18 16 14 20 20 H 1.48496 * 109.46938 * 212.70881 * 18 16 14 21 21 H 1.48501 * 109.46797 * 332.70873 * 18 16 14 22 22 C 1.46506 * 119.99628 * 185.24266 * 12 10 8 23 23 C 1.53001 * 109.46791 * 274.29023 * 22 12 10 24 24 N 1.46899 * 109.47303 * 179.97438 * 23 22 12 25 25 C 1.47005 * 111.00207 * 293.64152 * 24 23 22 26 26 C 1.53100 * 109.26002 * 177.60734 * 25 24 23 27 27 O 1.43014 * 109.26247 * 56.84183 * 26 25 24 28 28 C 1.43023 * 113.73697 * 301.33659 * 27 26 25 29 29 C 1.47014 * 111.00254 * 169.99700 * 24 23 22 30 30 H 1.09001 * 109.47539 * 305.90809 * 1 2 3 31 31 H 1.09005 * 109.47122 * 65.90707 * 1 2 3 32 32 H 1.09003 * 109.47545 * 185.90130 * 1 2 3 33 33 H 1.08998 * 109.35649 * 311.08903 * 4 2 1 34 34 H 1.09003 * 109.35722 * 70.66788 * 4 2 1 35 35 H 1.08001 * 117.96459 * 197.10674 * 5 4 2 36 36 H 1.07998 * 117.96425 * 179.55414 * 6 5 4 37 37 H 1.08997 * 109.21089 * 256.64258 * 7 6 5 38 38 H 1.08994 * 109.55900 * 137.02312 * 7 6 5 39 39 H 1.09004 * 109.47046 * 145.57226 * 13 12 10 40 40 H 1.08999 * 109.46758 * 25.57653 * 13 12 10 41 41 H 0.96996 * 120.00338 * 180.02562 * 17 16 14 42 42 H 1.08995 * 109.47287 * 34.28697 * 22 12 10 43 43 H 1.08998 * 109.46939 * 154.29602 * 22 12 10 44 44 H 1.08996 * 109.47516 * 300.00383 * 23 22 12 45 45 H 1.09005 * 109.46899 * 60.00175 * 23 22 12 46 46 H 1.09004 * 109.50490 * 297.53633 * 25 24 23 47 47 H 1.08999 * 109.51297 * 57.66789 * 25 24 23 48 48 H 1.09008 * 109.50094 * 296.91044 * 26 25 24 49 49 H 1.08997 * 109.54610 * 176.80358 * 26 25 24 50 50 H 1.08994 * 109.50754 * 298.72864 * 28 27 26 51 51 H 1.08998 * 109.54031 * 178.62033 * 28 27 26 52 52 H 1.09003 * 109.51026 * 302.33844 * 29 24 23 53 53 H 1.09005 * 109.50205 * 62.46222 * 29 24 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 1.5300 0.0000 0.0000 3 1 1.8994 1.0255 0.0000 4 6 2.0444 -0.7320 -1.2414 5 6 3.5211 -0.9720 -1.1251 6 6 4.1817 -0.9035 -0.0140 7 6 3.5654 -0.5691 1.3139 8 6 2.0456 -0.7338 1.2444 9 1 1.7944 -1.7923 1.1759 10 6 1.4150 -0.1425 2.4788 11 8 1.2067 1.0507 2.5411 12 7 1.0826 -0.9396 3.5135 13 6 1.4375 -2.3607 3.4869 14 6 0.2769 -3.1584 2.9506 15 1 -0.7292 -2.7768 3.0430 16 6 0.4990 -4.3779 2.3470 17 7 -0.5192 -5.1231 1.9761 18 14 2.2460 -4.9717 2.0559 19 1 2.6833 -5.8052 3.2046 20 1 2.2930 -5.7803 0.8113 21 1 3.1504 -3.8017 1.9207 22 6 0.3662 -0.3848 4.6648 23 6 1.3719 0.2072 5.6542 24 7 0.6536 0.7640 6.8084 25 6 -0.1614 1.9219 6.4131 26 6 -0.9369 2.4327 7.6304 27 8 -0.0158 2.7508 8.6771 28 6 0.7939 1.6455 9.0872 29 6 1.5869 1.1268 7.8848 30 1 -0.3634 0.6027 0.8324 31 1 -0.3634 0.4195 -0.9382 32 1 -0.3634 -1.0222 0.1057 33 1 1.5293 -1.6879 -1.3365 34 1 1.8452 -0.1271 -2.1260 35 1 4.0667 -1.2177 -2.0242 36 1 5.2429 -1.1023 -0.0427 37 1 3.8056 0.4624 1.5713 38 1 3.9661 -1.2332 2.0798 39 1 1.6725 -2.6954 4.4973 40 1 2.3062 -2.5062 2.8448 41 1 -0.3630 -5.9813 1.5518 42 1 -0.3143 0.3967 4.3271 43 1 -0.2025 -1.1755 5.1542 44 1 2.0526 -0.5742 5.9919 45 1 1.9407 0.9979 5.1648 46 1 0.4879 2.7127 6.0373 47 1 -0.8626 1.6244 5.6334 48 1 -1.6253 1.6603 7.9736 49 1 -1.4989 3.3254 7.3563 50 1 0.1559 0.8503 9.4728 51 1 1.4841 1.9685 9.8665 52 1 2.1620 0.2490 8.1793 53 1 2.2641 1.9049 7.5324 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 ZINC000330503528.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 19:54:45 Heat of formation + Delta-G solvation = -67.598232 kcal Electronic energy + Delta-G solvation = -31285.127105 eV Core-core repulsion = 27349.689618 eV Total energy + Delta-G solvation = -3935.437486 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.12 seconds Orbital eigenvalues (eV) -40.07134 -39.48956 -37.57162 -36.04714 -34.91930 -32.63210 -32.33752 -31.34752 -31.04723 -29.65825 -27.81822 -26.50284 -25.84138 -24.08665 -23.64819 -22.50549 -22.02552 -20.73271 -20.34033 -18.25973 -17.77669 -17.11645 -16.69096 -16.43473 -16.14425 -15.67446 -15.16195 -15.15591 -15.01911 -14.76032 -14.44825 -14.23135 -13.88287 -13.57696 -13.38008 -13.04814 -12.93804 -12.75421 -12.51210 -12.34490 -12.31478 -12.07457 -11.93841 -11.77084 -11.71761 -11.46083 -11.33778 -11.28631 -11.07899 -10.82354 -10.69332 -10.38637 -10.31345 -10.13939 -10.02551 -9.94529 -9.77247 -9.63962 -8.97381 -8.79357 -8.72771 -8.38775 -7.75913 -6.25842 -4.27361 2.48332 3.14178 3.19372 3.23925 3.30158 3.51346 3.78165 4.11092 4.21928 4.80902 4.86862 4.96129 4.97158 4.99732 5.02977 5.08543 5.18324 5.22936 5.35418 5.44708 5.48237 5.49884 5.54377 5.55716 5.60620 5.71679 5.77678 5.79986 5.82043 5.89470 5.90580 5.93790 5.98912 6.10187 6.18417 6.21635 6.30162 6.32171 6.37695 6.39740 6.44108 6.65750 6.68115 6.85927 6.87933 6.94097 6.97075 7.06293 7.13123 7.37275 7.43921 8.07274 8.40271 8.80077 8.92833 9.33458 10.86697 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.011270 B = 0.003806 C = 0.003272 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2483.985091 B = 7354.701618 C = 8556.223428 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C -0.065 4.065 3 H 0.073 0.927 4 C -0.089 4.089 5 C -0.154 4.154 6 C -0.153 4.153 7 C -0.078 4.078 8 C -0.108 4.108 9 H 0.110 0.890 10 C 0.530 3.470 11 O -0.570 6.570 12 N -0.590 5.590 13 C 0.196 3.804 14 C -0.534 4.534 15 H 0.079 0.921 16 C 0.079 3.921 17 N -0.888 5.888 18 Si 0.860 3.140 19 H -0.274 1.274 20 H -0.282 1.282 21 H -0.256 1.256 22 C 0.127 3.873 23 C 0.044 3.956 24 N -0.533 5.533 25 C 0.016 3.984 26 C 0.064 3.936 27 O -0.389 6.389 28 C 0.065 3.935 29 C 0.018 3.982 30 H 0.061 0.939 31 H 0.049 0.951 32 H 0.063 0.937 33 H 0.078 0.922 34 H 0.070 0.930 35 H 0.100 0.900 36 H 0.101 0.899 37 H 0.075 0.925 38 H 0.072 0.928 39 H 0.030 0.970 40 H 0.046 0.954 41 H 0.266 0.734 42 H 0.069 0.931 43 H 0.087 0.913 44 H 0.074 0.926 45 H 0.039 0.961 46 H 0.043 0.957 47 H 0.091 0.909 48 H 0.060 0.940 49 H 0.096 0.904 50 H 0.060 0.940 51 H 0.095 0.905 52 H 0.085 0.915 53 H 0.040 0.960 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.881 10.089 3.967 12.333 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 -0.208 4.208 2 C -0.084 4.084 3 H 0.092 0.908 4 C -0.125 4.125 5 C -0.172 4.172 6 C -0.171 4.171 7 C -0.116 4.116 8 C -0.129 4.129 9 H 0.128 0.872 10 C 0.318 3.682 11 O -0.450 6.450 12 N -0.320 5.320 13 C 0.075 3.925 14 C -0.572 4.572 15 H 0.097 0.903 16 C -0.125 4.125 17 N -0.525 5.525 18 Si 0.687 3.313 19 H -0.200 1.200 20 H -0.208 1.208 21 H -0.181 1.181 22 C 0.003 3.997 23 C -0.085 4.085 24 N -0.259 5.259 25 C -0.112 4.112 26 C -0.013 4.013 27 O -0.308 6.308 28 C -0.012 4.012 29 C -0.110 4.110 30 H 0.080 0.920 31 H 0.068 0.932 32 H 0.082 0.918 33 H 0.097 0.903 34 H 0.089 0.911 35 H 0.118 0.882 36 H 0.119 0.881 37 H 0.093 0.907 38 H 0.091 0.909 39 H 0.048 0.952 40 H 0.064 0.936 41 H 0.077 0.923 42 H 0.087 0.913 43 H 0.106 0.894 44 H 0.093 0.907 45 H 0.057 0.943 46 H 0.061 0.939 47 H 0.109 0.891 48 H 0.078 0.922 49 H 0.114 0.886 50 H 0.078 0.922 51 H 0.113 0.887 52 H 0.103 0.897 53 H 0.058 0.942 Dipole moment (debyes) X Y Z Total from point charges 5.413 10.310 4.187 12.374 hybrid contribution 1.507 -0.459 -0.715 1.730 sum 6.920 9.851 3.471 12.529 Atomic orbital electron populations 1.21863 0.94615 1.02870 1.01404 1.20913 0.96069 0.98919 0.92507 0.90816 1.20564 0.92990 1.01057 0.97937 1.22057 0.96391 1.01126 0.97640 1.21974 0.99338 1.01394 0.94368 1.20366 0.93495 1.01819 0.95900 1.21511 0.94990 1.03278 0.93083 0.87156 1.20388 0.77830 0.86021 0.83939 1.90572 1.56688 1.15592 1.82191 1.48181 1.55787 1.10989 1.17067 1.20067 0.97282 0.77014 0.98103 1.21329 0.94310 1.02928 1.38674 0.90325 1.24919 0.96635 0.96173 0.94731 1.69889 1.30330 1.11906 1.40366 0.87060 0.85900 0.79636 0.78671 1.19967 1.20807 1.18117 1.21181 0.93605 0.98924 0.86000 1.22517 0.96646 0.98785 0.90548 1.62143 1.24117 1.30072 1.09540 1.22833 0.97940 0.92163 0.98311 1.22691 0.91202 1.00740 0.86648 1.87954 1.52604 1.35561 1.54673 1.22644 0.93730 0.89421 0.95422 1.22764 0.94804 1.00367 0.93072 0.92020 0.93234 0.91756 0.90341 0.91129 0.88154 0.88068 0.90697 0.90933 0.95176 0.93623 0.92345 0.91260 0.89436 0.90704 0.94289 0.93899 0.89052 0.92155 0.88571 0.92188 0.88711 0.89659 0.94184 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 C -0.15 -2.58 8.68 37.16 0.32 -2.26 16 2 C -0.07 -1.08 2.02 -90.41 -0.18 -1.27 16 3 H 0.07 1.24 8.08 -51.93 -0.42 0.82 16 4 C -0.09 -1.29 5.44 -28.18 -0.15 -1.44 16 5 C -0.15 -2.15 9.80 -35.90 -0.35 -2.50 16 6 C -0.15 -2.20 9.80 -35.85 -0.35 -2.55 16 7 C -0.08 -1.26 5.38 -28.13 -0.15 -1.41 16 8 C -0.11 -1.97 1.35 -91.55 -0.12 -2.10 16 9 H 0.11 2.28 6.08 -51.93 -0.32 1.97 16 10 C 0.53 10.52 5.59 -10.99 -0.06 10.46 16 11 O -0.57 -12.11 15.22 5.56 0.08 -12.03 16 12 N -0.59 -11.71 2.46 -175.06 -0.43 -12.14 16 13 C 0.20 4.19 4.44 -5.19 -0.02 4.16 16 14 C -0.53 -13.60 9.54 -34.44 -0.33 -13.93 16 15 H 0.08 2.25 8.06 -52.49 -0.42 1.82 16 16 C 0.08 2.09 5.47 -17.82 -0.10 1.99 16 17 N -0.89 -25.19 13.96 55.43 0.77 -24.41 16 18 Si 0.86 19.25 27.67 -169.99 -4.70 14.55 16 19 H -0.27 -6.09 7.11 56.52 0.40 -5.69 16 20 H -0.28 -6.41 7.11 56.52 0.40 -6.01 16 21 H -0.26 -5.32 5.98 56.52 0.34 -4.98 16 22 C 0.13 2.26 5.28 -4.04 -0.02 2.24 16 23 C 0.04 0.68 5.25 -3.82 -0.02 0.66 16 24 N -0.53 -7.39 4.73 -234.31 -1.11 -8.50 16 25 C 0.02 0.21 5.44 -3.72 -0.02 0.19 16 26 C 0.06 0.73 7.01 37.21 0.26 1.00 16 27 O -0.39 -4.91 10.83 -35.23 -0.38 -5.29 16 28 C 0.06 0.69 7.01 37.21 0.26 0.95 16 29 C 0.02 0.22 5.64 -3.71 -0.02 0.20 16 30 H 0.06 1.16 6.64 -51.93 -0.34 0.81 16 31 H 0.05 0.72 8.14 -51.93 -0.42 0.30 16 32 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 33 H 0.08 1.21 8.10 -51.93 -0.42 0.78 16 34 H 0.07 0.88 8.14 -51.93 -0.42 0.46 16 35 H 0.10 1.19 8.06 -52.49 -0.42 0.76 16 36 H 0.10 1.25 8.06 -52.49 -0.42 0.83 16 37 H 0.07 1.18 8.10 -51.93 -0.42 0.76 16 38 H 0.07 1.16 7.59 -51.93 -0.39 0.76 16 39 H 0.03 0.63 8.11 -51.93 -0.42 0.21 16 40 H 0.05 0.96 2.96 -51.93 -0.15 0.81 16 41 H 0.27 7.12 8.31 -40.82 -0.34 6.78 16 42 H 0.07 1.27 6.01 -51.93 -0.31 0.96 16 43 H 0.09 1.62 8.04 -51.93 -0.42 1.20 16 44 H 0.07 1.14 8.04 -51.93 -0.42 0.72 16 45 H 0.04 0.66 8.12 -51.93 -0.42 0.24 16 46 H 0.04 0.61 8.14 -51.93 -0.42 0.19 16 47 H 0.09 1.23 6.38 -51.93 -0.33 0.90 16 48 H 0.06 0.67 8.14 -51.92 -0.42 0.25 16 49 H 0.10 0.93 8.14 -51.93 -0.42 0.50 16 50 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 52 H 0.09 0.91 8.09 -51.93 -0.42 0.49 16 53 H 0.04 0.49 8.14 -51.93 -0.42 0.07 16 LS Contribution 404.31 15.07 6.09 6.09 Total: -1.00 -29.04 404.31 -10.22 -39.26 By element: Atomic # 1 Polarization: 17.57 SS G_CDS: -9.48 Total: 8.09 kcal Atomic # 6 Polarization: -4.55 SS G_CDS: -1.06 Total: -5.62 kcal Atomic # 7 Polarization: -44.28 SS G_CDS: -0.77 Total: -45.05 kcal Atomic # 8 Polarization: -17.02 SS G_CDS: -0.30 Total: -17.32 kcal Atomic # 14 Polarization: 19.25 SS G_CDS: -4.70 Total: 14.55 kcal Total LS contribution 6.09 Total: 6.09 kcal Total: -29.04 -10.22 -39.26 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. ZINC000330503528.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 -28.337 kcal (2) G-P(sol) polarization free energy of solvation -29.042 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -57.379 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.219 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.261 kcal (6) G-S(sol) free energy of system = (1) + (5) -67.598 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.12 seconds