Wall clock time and date at job start Tue Mar 31 2020 21:07:37 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 N 2 2 C 1.31623 * 1 3 3 Si 1.86794 * 120.00163 * 2 1 4 4 H 1.48505 * 109.46966 * 239.99998 * 3 2 1 5 5 H 1.48497 * 109.47305 * 359.97438 * 3 2 1 6 6 H 1.48501 * 109.47168 * 119.99912 * 3 2 1 7 7 C 1.38813 * 119.99382 * 179.97438 * 2 1 3 8 8 H 1.08001 * 119.99659 * 163.01622 * 7 2 1 9 9 N 1.36934 * 120.00264 * 343.01924 * 7 2 1 10 10 C 1.46970 * 120.77039 * 331.84601 * 9 7 2 11 11 C 1.53096 * 108.61785 * 234.30932 * 10 9 7 12 12 C 1.53158 * 109.58048 * 304.65310 * 11 10 9 13 13 H 1.09001 * 110.66256 * 299.03604 * 12 11 10 14 14 C 1.52708 * 109.44418 * 60.38650 * 12 11 10 15 15 H 1.08994 * 109.12116 * 181.42199 * 14 12 11 16 16 C 1.52864 * 109.43273 * 61.92225 * 14 12 11 17 17 C 1.53104 * 109.34437 * 61.90163 * 16 14 12 18 18 C 1.53144 * 109.48437 * 299.35177 * 17 16 14 19 19 N 1.46947 * 109.02053 * 54.07745 * 18 17 16 20 20 C 1.34776 * 120.84946 * 125.94529 * 19 18 17 21 21 O 1.21281 * 120.00370 * 180.02562 * 20 19 18 22 22 C 1.50700 * 120.00079 * 359.97438 * 20 19 18 23 23 F 1.39896 * 109.47130 * 310.00222 * 22 20 19 24 24 C 1.52998 * 109.47367 * 190.00039 * 22 20 19 25 25 C 1.53000 * 109.47085 * 180.02562 * 24 22 20 26 26 C 1.52998 * 109.47260 * 60.00077 * 25 24 22 27 27 C 1.53002 * 109.46884 * 299.99616 * 26 25 24 28 28 C 1.53002 * 109.46947 * 60.00684 * 27 26 25 29 29 C 1.44112 * 121.34891 * 151.65625 * 9 7 2 30 30 H 0.96999 * 119.99677 * 0.02562 * 1 2 3 31 31 H 1.09001 * 109.60997 * 114.56942 * 10 9 7 32 32 H 1.08995 * 109.75534 * 354.13848 * 10 9 7 33 33 H 1.09006 * 109.45238 * 184.62104 * 11 10 9 34 34 H 1.08999 * 109.44015 * 64.67751 * 11 10 9 35 35 H 1.09001 * 109.48997 * 301.94062 * 16 14 12 36 36 H 1.08998 * 109.48846 * 181.85985 * 16 14 12 37 37 H 1.09007 * 109.46888 * 179.35111 * 17 16 14 38 38 H 1.09002 * 109.47424 * 59.36214 * 17 16 14 39 39 H 1.08997 * 109.54867 * 294.21249 * 18 17 16 40 40 H 1.09002 * 109.62324 * 173.97864 * 18 17 16 41 41 H 1.08997 * 109.47327 * 59.99891 * 24 22 20 42 42 H 1.09000 * 109.47119 * 300.00147 * 24 22 20 43 43 H 1.09000 * 109.47000 * 299.99899 * 25 24 22 44 44 H 1.09008 * 109.46933 * 179.97438 * 25 24 22 45 45 H 1.09000 * 109.47259 * 59.99981 * 26 25 24 46 46 H 1.09004 * 109.47253 * 180.02562 * 26 25 24 47 47 H 1.09000 * 109.46990 * 179.97438 * 27 26 25 48 48 H 1.09000 * 109.47470 * 300.00235 * 27 26 25 49 49 H 1.08995 * 109.46926 * 180.02562 * 28 27 26 50 50 H 1.08990 * 109.47326 * 59.99543 * 28 27 26 51 51 H 1.09003 * 108.26770 * 6.35985 * 29 9 7 52 52 H 1.08998 * 109.66102 * 246.86562 * 29 9 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3162 0.0000 0.0000 3 14 2.2502 1.6177 0.0000 4 1 3.1040 1.6963 -1.2126 5 1 1.2853 2.7464 -0.0006 6 1 3.1040 1.6963 1.2125 7 6 2.0102 -1.2022 0.0005 8 1 3.0548 -1.2228 -0.2727 9 7 1.3702 -2.3621 0.3474 10 6 0.2263 -2.3427 1.2700 11 6 0.5116 -3.3093 2.4225 12 6 0.8237 -4.6997 1.8610 13 1 -0.0258 -5.0868 1.2982 14 6 2.0537 -4.6195 0.9595 15 1 2.2560 -5.6061 0.5430 16 6 3.2584 -4.1631 1.7824 17 6 3.5425 -5.1924 2.8796 18 6 2.3242 -5.3068 3.8005 19 7 1.1348 -5.5963 2.9875 20 6 0.3518 -6.6583 3.2621 21 8 -0.6260 -6.8832 2.5808 22 6 0.6918 -7.5672 4.4151 23 9 2.0363 -7.9444 4.3307 24 6 -0.1924 -8.8146 4.3593 25 6 0.1525 -9.7370 5.5302 26 6 -0.0890 -8.9994 6.8488 27 6 0.7953 -7.7520 6.9046 28 6 0.4504 -6.8295 5.7337 29 6 1.7896 -3.6362 -0.1794 30 1 -0.4849 0.8401 -0.0004 31 1 -0.6743 -2.6575 0.7428 32 1 0.0870 -1.3357 1.6630 33 1 -0.3620 -3.3678 3.0719 34 1 1.3661 -2.9489 2.9952 35 1 3.0427 -3.1964 2.2376 36 1 4.1294 -4.0737 1.1332 37 1 4.4084 -4.8747 3.4605 38 1 3.7463 -6.1617 2.4245 39 1 2.1812 -4.3674 4.3344 40 1 2.4813 -6.1132 4.5169 41 1 -0.0207 -9.3398 3.4198 42 1 -1.2399 -8.5206 4.4250 43 1 1.2001 -10.0309 5.4649 44 1 -0.4778 -10.6255 5.4907 45 1 -1.1365 -8.7054 6.9141 46 1 0.1571 -9.6563 7.6830 47 1 0.6230 -7.2263 7.8438 48 1 1.8429 -8.0460 6.8393 49 1 1.0806 -5.9411 5.7732 50 1 -0.5971 -6.5356 5.7991 51 1 2.7060 -3.4851 -0.7500 52 1 1.0144 -4.0358 -0.8332 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) 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=-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 ZINC001021708131.mol2 52 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 21:07:37 Heat of formation + Delta-G solvation = -76.705391 kcal Electronic energy + Delta-G solvation = -32422.008995 eV Core-core repulsion = 28335.404809 eV Total energy + Delta-G solvation = -4086.604186 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 338.211 amu Computer time = 1.07 seconds Orbital eigenvalues (eV) -48.22766 -40.40246 -38.62230 -37.31481 -35.70647 -32.97692 -32.30565 -31.24031 -30.99203 -29.89770 -29.71722 -25.63850 -25.38514 -23.53520 -23.17407 -22.35059 -21.96981 -21.40402 -20.06671 -19.44075 -17.86178 -17.27193 -16.80508 -16.61323 -16.13618 -15.42131 -15.19693 -14.90161 -14.70501 -14.48675 -14.26172 -13.85721 -13.80398 -13.63248 -13.57547 -13.14231 -12.96816 -12.73699 -12.63750 -12.47731 -12.29088 -12.22821 -12.18070 -12.02545 -11.39237 -11.38454 -11.17553 -10.95059 -10.89690 -10.86836 -10.73177 -10.67411 -10.52155 -10.28403 -10.19222 -10.11462 -9.93943 -9.73737 -9.55679 -9.29825 -8.54811 -8.26811 -6.68669 -5.81343 -3.24395 2.51547 2.97413 3.36776 3.42930 3.43553 4.04577 4.14625 4.30159 4.39252 4.48113 4.75930 4.78784 4.87789 4.99182 5.02180 5.14506 5.14618 5.17965 5.27929 5.37379 5.39027 5.44965 5.51621 5.58538 5.64653 5.69113 5.72802 5.73566 5.73591 5.81375 5.89260 5.94216 5.95867 6.08911 6.08951 6.12519 6.20109 6.33853 6.38266 6.45784 6.52485 6.62543 6.82180 6.83803 6.90895 6.96875 7.33102 7.53142 7.65668 7.77948 8.14552 8.44985 9.18934 9.84916 10.40542 11.27466 Molecular weight = 338.21amu Principal moments of inertia in cm(-1) A = 0.023964 B = 0.003064 C = 0.003029 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1168.163151 B = 9134.758189 C = 9241.570554 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.901 5.901 2 C 0.004 3.996 3 Si 0.902 3.098 4 H -0.283 1.283 5 H -0.291 1.291 6 H -0.284 1.284 7 C -0.253 4.253 8 H 0.066 0.934 9 N -0.583 5.583 10 C 0.170 3.830 11 C -0.146 4.146 12 C 0.152 3.848 13 H 0.094 0.906 14 C -0.110 4.110 15 H 0.058 0.942 16 C -0.107 4.107 17 C -0.131 4.131 18 C 0.089 3.911 19 N -0.591 5.591 20 C 0.498 3.502 21 O -0.532 6.532 22 C 0.112 3.888 23 F -0.190 7.190 24 C -0.122 4.122 25 C -0.121 4.121 26 C -0.123 4.123 27 C -0.118 4.118 28 C -0.142 4.142 29 C 0.157 3.843 30 H 0.255 0.745 31 H 0.020 0.980 32 H 0.091 0.909 33 H 0.048 0.952 34 H 0.062 0.938 35 H 0.080 0.920 36 H 0.059 0.941 37 H 0.069 0.931 38 H 0.061 0.939 39 H 0.068 0.932 40 H 0.095 0.905 41 H 0.079 0.921 42 H 0.089 0.911 43 H 0.068 0.932 44 H 0.070 0.930 45 H 0.065 0.935 46 H 0.066 0.934 47 H 0.071 0.929 48 H 0.070 0.930 49 H 0.083 0.917 50 H 0.086 0.914 51 H 0.055 0.945 52 H 0.015 0.985 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.069 -16.699 14.379 22.249 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 N -0.545 5.545 2 C -0.194 4.194 3 Si 0.732 3.268 4 H -0.209 1.209 5 H -0.217 1.217 6 H -0.210 1.210 7 C -0.383 4.383 8 H 0.084 0.916 9 N -0.304 5.304 10 C 0.043 3.957 11 C -0.186 4.186 12 C 0.050 3.950 13 H 0.112 0.888 14 C -0.131 4.131 15 H 0.076 0.924 16 C -0.145 4.145 17 C -0.169 4.169 18 C -0.033 4.033 19 N -0.322 5.322 20 C 0.283 3.717 21 O -0.409 6.409 22 C 0.090 3.910 23 F -0.171 7.171 24 C -0.160 4.160 25 C -0.158 4.158 26 C -0.160 4.160 27 C -0.156 4.156 28 C -0.180 4.180 29 C 0.029 3.971 30 H 0.065 0.935 31 H 0.038 0.962 32 H 0.109 0.891 33 H 0.067 0.933 34 H 0.081 0.919 35 H 0.098 0.902 36 H 0.077 0.923 37 H 0.088 0.912 38 H 0.080 0.920 39 H 0.086 0.914 40 H 0.113 0.887 41 H 0.097 0.903 42 H 0.108 0.892 43 H 0.087 0.913 44 H 0.089 0.911 45 H 0.083 0.917 46 H 0.084 0.916 47 H 0.090 0.910 48 H 0.089 0.911 49 H 0.102 0.898 50 H 0.105 0.895 51 H 0.074 0.926 52 H 0.033 0.967 Dipole moment (debyes) X Y Z Total from point charges 2.479 -16.648 13.980 21.880 hybrid contribution 0.581 0.898 -0.044 1.070 sum 3.060 -15.750 13.935 21.251 Atomic orbital electron populations 1.70022 1.05268 1.25676 1.53529 1.25044 0.95248 0.98423 1.00726 0.86378 0.78913 0.83388 0.78121 1.20891 1.21668 1.21028 1.19093 0.92537 0.84645 1.42012 0.91636 1.43335 1.35684 1.01604 1.49771 1.20774 0.88967 0.98132 0.87812 1.22567 1.00441 0.94912 1.00693 1.21380 0.98250 0.89322 0.86005 0.88768 1.21816 0.94423 0.99545 0.97352 0.92364 1.21478 0.97407 0.99020 0.96553 1.21891 0.96743 1.00318 0.97915 1.22125 0.84915 1.02202 0.94099 1.48553 1.25772 1.26333 1.31563 1.20722 0.83827 0.81769 0.85431 1.90708 1.27644 1.72463 1.50059 1.21163 0.78449 0.95785 0.95560 1.92793 1.34690 1.92297 1.97288 1.21883 1.00206 0.93905 1.00045 1.21555 1.02365 0.98080 0.93832 1.21590 1.00149 0.96780 0.97488 1.21511 1.00646 0.95925 0.97476 1.22243 1.04248 0.99107 0.92435 1.20264 0.97972 0.86745 0.92157 0.93525 0.96175 0.89111 0.93280 0.91908 0.90150 0.92261 0.91217 0.92036 0.91350 0.88704 0.90279 0.89229 0.91299 0.91128 0.91656 0.91564 0.91025 0.91115 0.89807 0.89496 0.92649 0.96728 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 N -0.90 -25.77 11.19 55.49 0.62 -25.15 16 2 C 0.00 0.12 4.93 -17.43 -0.09 0.03 16 3 Si 0.90 21.29 29.59 -169.99 -5.03 16.26 16 4 H -0.28 -6.62 7.11 56.52 0.40 -6.22 16 5 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 6 H -0.28 -6.61 7.11 56.52 0.40 -6.20 16 7 C -0.25 -6.73 9.56 -15.06 -0.14 -6.87 16 8 H 0.07 1.71 7.87 -52.49 -0.41 1.29 16 9 N -0.58 -14.13 2.59 -174.80 -0.45 -14.58 16 10 C 0.17 3.99 5.30 -3.74 -0.02 3.97 16 11 C -0.15 -2.80 5.02 -26.60 -0.13 -2.93 16 12 C 0.15 2.74 2.64 -67.56 -0.18 2.56 16 13 H 0.09 1.91 7.06 -51.93 -0.37 1.55 16 14 C -0.11 -1.95 2.49 -90.96 -0.23 -2.17 16 15 H 0.06 1.00 8.14 -51.93 -0.42 0.58 16 16 C -0.11 -1.71 4.86 -26.75 -0.13 -1.84 16 17 C -0.13 -1.70 6.08 -26.60 -0.16 -1.86 16 18 C 0.09 1.15 4.42 -3.72 -0.02 1.13 16 19 N -0.59 -9.12 2.66 -165.14 -0.44 -9.56 16 20 C 0.50 7.75 6.78 -10.99 -0.07 7.68 16 21 O -0.53 -9.99 15.43 5.56 0.09 -9.91 16 22 C 0.11 1.33 0.72 -91.77 -0.07 1.26 16 23 F -0.19 -2.31 13.32 2.25 0.03 -2.28 16 24 C -0.12 -1.31 4.35 -26.73 -0.12 -1.43 16 25 C -0.12 -0.99 5.80 -26.73 -0.16 -1.14 16 26 C -0.12 -0.88 5.92 -26.73 -0.16 -1.03 16 27 C -0.12 -0.90 5.80 -26.73 -0.16 -1.05 16 28 C -0.14 -1.37 4.67 -26.73 -0.12 -1.50 16 29 C 0.16 3.29 5.75 -5.43 -0.03 3.26 16 30 H 0.25 7.08 8.31 -40.82 -0.34 6.74 16 31 H 0.02 0.51 8.14 -51.93 -0.42 0.09 16 32 H 0.09 2.38 6.05 -51.93 -0.31 2.06 16 33 H 0.05 0.90 8.14 -51.93 -0.42 0.48 16 34 H 0.06 1.18 5.33 -51.93 -0.28 0.91 16 35 H 0.08 1.46 6.16 -51.93 -0.32 1.14 16 36 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 37 H 0.07 0.78 8.14 -51.92 -0.42 0.36 16 38 H 0.06 0.81 8.14 -51.93 -0.42 0.39 16 39 H 0.07 0.86 7.27 -51.93 -0.38 0.49 16 40 H 0.10 1.07 3.87 -51.93 -0.20 0.87 16 41 H 0.08 0.92 8.14 -51.93 -0.42 0.50 16 42 H 0.09 0.99 7.99 -51.93 -0.41 0.57 16 43 H 0.07 0.58 7.80 -51.93 -0.41 0.18 16 44 H 0.07 0.49 8.14 -51.92 -0.42 0.07 16 45 H 0.06 0.46 8.14 -51.93 -0.42 0.03 16 46 H 0.07 0.40 8.14 -51.93 -0.42 -0.03 16 47 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 48 H 0.07 0.55 7.80 -51.93 -0.41 0.15 16 49 H 0.08 0.80 5.98 -51.93 -0.31 0.49 16 50 H 0.09 0.84 8.14 -51.93 -0.42 0.42 16 51 H 0.06 1.14 7.85 -51.93 -0.41 0.73 16 52 H 0.01 0.33 8.14 -51.93 -0.42 -0.10 16 LS Contribution 376.37 15.07 5.67 5.67 Total: -1.00 -29.62 376.37 -10.33 -39.96 By element: Atomic # 1 Polarization: 10.36 SS G_CDS: -8.84 Total: 1.52 kcal Atomic # 6 Polarization: 0.04 SS G_CDS: -1.98 Total: -1.94 kcal Atomic # 7 Polarization: -49.01 SS G_CDS: -0.27 Total: -49.28 kcal Atomic # 8 Polarization: -9.99 SS G_CDS: 0.09 Total: -9.91 kcal Atomic # 9 Polarization: -2.31 SS G_CDS: 0.03 Total: -2.28 kcal Atomic # 14 Polarization: 21.29 SS G_CDS: -5.03 Total: 16.26 kcal Total LS contribution 5.67 Total: 5.67 kcal Total: -29.62 -10.33 -39.96 kcal The number of atoms in the molecule is 52 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. ZINC001021708131.mol2 52 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 -36.750 kcal (2) G-P(sol) polarization free energy of solvation -29.622 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -66.372 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.333 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.955 kcal (6) G-S(sol) free energy of system = (1) + (5) -76.705 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds