Wall clock time and date at job start Tue Mar 31 2020 23:31:54 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 O 1.42906 * 1 3 3 C 1.42894 * 113.99865 * 2 1 4 4 C 1.52999 * 109.46887 * 179.97438 * 3 2 1 5 5 C 1.50696 * 109.54512 * 299.99881 * 4 3 2 6 6 O 1.21280 * 119.99745 * 240.00325 * 5 4 3 7 7 N 1.34770 * 120.00162 * 60.00230 * 5 4 3 8 8 C 1.46502 * 120.00294 * 180.02562 * 7 5 4 9 9 H 1.08995 * 109.49450 * 324.99714 * 8 7 5 10 10 C 1.53037 * 109.49854 * 204.93469 * 8 7 5 11 11 C 1.53115 * 109.50274 * 301.37862 * 10 8 7 12 12 C 1.53193 * 109.33011 * 298.65949 * 11 10 8 13 13 H 1.09008 * 109.58326 * 294.84746 * 12 11 10 14 14 C 1.52991 * 109.58923 * 174.42245 * 12 11 10 15 15 N 1.46927 * 108.77817 * 54.63204 * 12 11 10 16 16 C 1.36940 * 120.62859 * 126.36835 * 15 12 11 17 17 H 1.07991 * 120.00344 * 331.65378 * 16 15 12 18 18 C 1.38815 * 119.99428 * 151.65410 * 16 15 12 19 19 N 1.31626 * 119.99550 * 160.47098 * 18 16 15 20 20 Si 1.86798 * 120.00143 * 340.47275 * 18 16 15 21 21 H 1.48502 * 109.47180 * 94.91185 * 20 18 16 22 22 H 1.48504 * 109.46870 * 214.90510 * 20 18 16 23 23 H 1.48496 * 109.47055 * 334.90805 * 20 18 16 24 24 C 1.46934 * 118.73843 * 306.39499 * 15 12 11 25 25 C 1.53180 * 109.54338 * 60.17723 * 4 3 2 26 26 C 1.53286 * 109.06145 * 176.84900 * 25 4 3 27 27 O 1.42901 * 109.46405 * 302.44244 * 26 25 4 28 28 C 1.42904 * 114.09251 * 61.16019 * 27 26 25 29 29 C 1.53098 * 109.41531 * 298.83846 * 28 27 26 30 30 H 1.08994 * 109.46976 * 60.00288 * 1 2 3 31 31 H 1.08998 * 109.47004 * 180.02562 * 1 2 3 32 32 H 1.08999 * 109.46918 * 299.99618 * 1 2 3 33 33 H 1.09003 * 109.47475 * 59.99925 * 3 2 1 34 34 H 1.09003 * 109.46884 * 299.99961 * 3 2 1 35 35 H 0.97001 * 119.99565 * 0.27296 * 7 5 4 36 36 H 1.08996 * 109.46044 * 61.42713 * 10 8 7 37 37 H 1.08998 * 109.46223 * 181.39607 * 10 8 7 38 38 H 1.08993 * 109.48747 * 178.70276 * 11 10 8 39 39 H 1.08996 * 109.51418 * 58.62873 * 11 10 8 40 40 H 1.09003 * 109.47399 * 300.71004 * 14 12 11 41 41 H 1.08999 * 109.47247 * 60.70767 * 14 12 11 42 42 H 1.08995 * 109.47754 * 180.70619 * 14 12 11 43 43 H 0.97001 * 119.99785 * 179.97438 * 19 18 16 44 44 H 1.08997 * 109.58353 * 293.82109 * 24 15 12 45 45 H 1.09003 * 109.58290 * 173.38970 * 24 15 12 46 46 H 1.08993 * 109.52212 * 296.84124 * 25 4 3 47 47 H 1.09006 * 109.52374 * 57.03188 * 25 4 3 48 48 H 1.09003 * 109.45634 * 182.44955 * 26 25 4 49 49 H 1.08998 * 109.46703 * 62.45287 * 26 25 4 50 50 H 1.09003 * 109.47681 * 178.85941 * 28 27 26 51 51 H 1.08998 * 109.49258 * 58.83586 * 28 27 26 52 52 H 1.08999 * 109.52429 * 297.70670 * 29 28 27 53 53 H 1.09008 * 109.56984 * 177.54678 * 29 28 27 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 8 1.4291 0.0000 0.0000 3 6 2.0102 1.3054 0.0000 4 6 3.5354 1.1846 0.0006 5 6 3.9814 0.4372 1.2308 6 8 4.7232 0.9703 2.0286 7 7 3.5560 -0.8236 1.4446 8 6 3.9891 -1.5501 2.6408 9 1 5.0135 -1.2696 2.8857 10 6 3.9212 -3.0559 2.3765 11 6 2.4888 -3.4448 2.0003 12 6 1.5511 -3.1150 3.1660 13 1 1.8012 -3.7391 4.0240 14 6 0.1022 -3.3710 2.7469 15 7 1.7182 -1.6992 3.5214 16 6 0.6362 -0.8618 3.5786 17 1 -0.2288 -1.0542 2.9613 18 6 0.6513 0.2344 4.4300 19 7 -0.1780 1.2364 4.2276 20 14 1.8484 0.2877 5.8630 21 1 3.0704 1.0289 5.4599 22 1 1.2108 0.9740 7.0153 23 1 2.2155 -1.0973 6.2530 24 6 3.0684 -1.1988 3.8137 25 6 3.9901 0.4282 -1.2514 26 6 5.5220 0.3822 -1.2798 27 8 6.0390 1.7141 -1.2512 28 6 5.6837 2.4527 -0.0805 29 6 4.1602 2.5832 -0.0039 30 1 -0.3633 0.5138 -0.8900 31 1 -0.3633 -1.0277 0.0005 32 1 -0.3633 0.5138 0.8900 33 1 1.6886 1.8464 0.8900 34 1 1.6886 1.8463 -0.8900 35 1 2.9659 -1.2514 0.8045 36 1 4.5944 -3.3117 1.5584 37 1 4.2198 -3.5961 3.2749 38 1 2.4456 -4.5133 1.7898 39 1 2.1804 -2.8869 1.1163 40 1 -0.1420 -2.7499 1.8850 41 1 -0.0197 -4.4217 2.4837 42 1 -0.5642 -3.1239 3.5732 43 1 -0.1677 2.0023 4.8228 44 1 3.4422 -1.6666 4.7244 45 1 3.0372 -0.1168 3.9424 46 1 3.5934 -0.5867 -1.2279 47 1 3.6249 0.9426 -2.1404 48 1 5.8534 -0.1168 -2.1905 49 1 5.8851 -0.1675 -0.4115 50 1 6.1316 3.4454 -0.1272 51 1 6.0488 1.9305 0.8038 52 1 3.7985 3.1409 -0.8677 53 1 3.8842 3.1084 0.9105 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 ZINC001132102598.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 23:31:54 Heat of formation + Delta-G solvation = -105.215558 kcal Electronic energy + Delta-G solvation = -34680.732245 eV Core-core repulsion = 30553.207497 eV Total energy + Delta-G solvation = -4127.524748 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.35 seconds Orbital eigenvalues (eV) -40.71858 -38.72317 -37.41407 -37.19033 -34.19521 -33.92718 -32.69742 -31.20359 -30.64785 -30.37189 -27.93373 -26.40786 -25.61095 -24.86112 -23.56207 -23.16580 -22.62062 -21.96140 -20.40322 -19.36801 -18.78680 -16.79078 -16.53579 -16.19331 -15.98094 -15.70280 -15.49896 -15.20668 -15.08690 -14.73881 -14.55353 -14.15342 -14.06987 -13.74647 -13.48518 -13.41849 -13.25953 -12.91678 -12.50557 -12.29509 -12.16263 -12.00460 -11.87242 -11.73424 -11.57748 -11.46350 -11.27226 -11.21038 -10.97329 -10.90260 -10.52242 -10.47944 -10.37073 -10.34124 -10.23904 -9.91261 -9.65691 -9.51179 -9.32931 -9.21456 -8.97719 -8.62258 -8.26089 -6.84385 -5.89607 -3.23015 3.13254 3.44273 3.55133 3.55187 3.73497 3.95661 4.03961 4.61264 4.69824 4.81366 4.92414 4.96453 5.18067 5.20174 5.28324 5.31408 5.35744 5.36785 5.52457 5.53519 5.60771 5.69459 5.72345 5.77781 5.79604 5.83163 5.93073 5.98539 6.00317 6.02626 6.05698 6.11477 6.16820 6.19816 6.25201 6.27616 6.30445 6.35393 6.41852 6.46993 6.53104 6.57005 6.76724 6.97119 7.06241 7.20803 7.28792 7.50390 8.02354 8.21762 8.38891 8.86433 8.99863 9.80512 10.18355 11.26032 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011827 B = 0.005563 C = 0.005286 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2366.818768 B = 5031.767554 C = 5295.972589 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.043 3.957 2 O -0.384 6.384 3 C 0.079 3.921 4 C -0.075 4.075 5 C 0.529 3.471 6 O -0.555 6.555 7 N -0.685 5.685 8 C 0.125 3.875 9 H 0.075 0.925 10 C -0.118 4.118 11 C -0.132 4.132 12 C 0.172 3.828 13 H 0.027 0.973 14 C -0.135 4.135 15 N -0.594 5.594 16 C -0.241 4.241 17 H 0.090 0.910 18 C 0.025 3.975 19 N -0.912 5.912 20 Si 0.872 3.128 21 H -0.288 1.288 22 H -0.307 1.307 23 H -0.272 1.272 24 C 0.118 3.882 25 C -0.136 4.136 26 C 0.060 3.940 27 O -0.387 6.387 28 C 0.052 3.948 29 C -0.127 4.127 30 H 0.026 0.974 31 H 0.079 0.921 32 H 0.063 0.937 33 H 0.064 0.936 34 H 0.051 0.949 35 H 0.407 0.593 36 H 0.056 0.944 37 H 0.069 0.931 38 H 0.055 0.945 39 H 0.063 0.937 40 H 0.056 0.944 41 H 0.038 0.962 42 H 0.062 0.938 43 H 0.259 0.741 44 H 0.028 0.972 45 H 0.078 0.922 46 H 0.083 0.917 47 H 0.078 0.922 48 H 0.093 0.907 49 H 0.049 0.951 50 H 0.090 0.910 51 H 0.079 0.921 52 H 0.074 0.926 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.260 -4.687 -11.976 14.303 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 -0.053 4.053 2 O -0.302 6.302 3 C 0.002 3.998 4 C -0.079 4.079 5 C 0.315 3.685 6 O -0.435 6.435 7 N -0.337 5.337 8 C 0.019 3.981 9 H 0.093 0.907 10 C -0.156 4.156 11 C -0.171 4.171 12 C 0.065 3.935 13 H 0.045 0.955 14 C -0.192 4.192 15 N -0.318 5.318 16 C -0.369 4.369 17 H 0.107 0.893 18 C -0.173 4.173 19 N -0.556 5.556 20 Si 0.703 3.297 21 H -0.216 1.216 22 H -0.236 1.236 23 H -0.197 1.197 24 C -0.009 4.009 25 C -0.174 4.174 26 C -0.017 4.017 27 O -0.306 6.306 28 C -0.024 4.024 29 C -0.165 4.165 30 H 0.044 0.956 31 H 0.098 0.902 32 H 0.082 0.918 33 H 0.082 0.918 34 H 0.069 0.931 35 H 0.246 0.754 36 H 0.074 0.926 37 H 0.088 0.912 38 H 0.073 0.927 39 H 0.082 0.918 40 H 0.075 0.925 41 H 0.057 0.943 42 H 0.081 0.919 43 H 0.068 0.932 44 H 0.046 0.954 45 H 0.096 0.904 46 H 0.102 0.898 47 H 0.097 0.903 48 H 0.111 0.889 49 H 0.067 0.933 50 H 0.108 0.892 51 H 0.097 0.903 52 H 0.092 0.908 53 H 0.102 0.898 Dipole moment (debyes) X Y Z Total from point charges 6.895 -4.287 -11.488 14.068 hybrid contribution -0.168 0.169 0.953 0.982 sum 6.727 -4.118 -10.535 13.161 Atomic orbital electron populations 1.22665 0.79984 1.02457 1.00194 1.87605 1.20604 1.26643 1.95390 1.22353 0.90303 0.86069 1.01068 1.20902 0.95624 0.96748 0.94585 1.20034 0.80044 0.81953 0.86514 1.90600 1.37791 1.67599 1.47510 1.45865 1.49377 1.13975 1.24455 1.21447 0.98393 0.90960 0.87328 0.90677 1.21690 0.97595 0.94987 1.01355 1.22077 0.95180 0.99607 1.00258 1.20437 0.93552 0.85953 0.93532 0.95521 1.21791 0.96779 0.98561 1.02073 1.44328 1.02013 1.04382 1.81116 1.18790 0.95976 1.04161 1.17991 0.89286 1.25213 0.96906 0.96938 0.98242 1.69790 1.40078 1.07042 1.38706 0.87086 0.80765 0.77715 0.84131 1.21561 1.23611 1.19713 1.21715 0.85804 0.99679 0.93668 1.22209 0.96684 1.01709 0.96809 1.22599 0.92739 0.84491 1.01911 1.87859 1.74627 1.25409 1.42694 1.22813 0.93811 0.96831 0.88928 1.21945 0.96813 0.94420 1.03336 0.95567 0.90223 0.91831 0.91803 0.93108 0.75369 0.92576 0.91226 0.92659 0.91829 0.92508 0.94337 0.91893 0.93153 0.95414 0.90375 0.89839 0.90303 0.88929 0.93300 0.89215 0.90283 0.90755 0.89794 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.04 0.67 11.01 101.05 1.11 1.78 16 2 O -0.38 -6.21 7.62 -35.23 -0.27 -6.48 16 3 C 0.08 1.25 4.80 37.16 0.18 1.43 16 4 C -0.08 -1.15 0.53 -155.48 -0.08 -1.23 16 5 C 0.53 9.75 5.11 -10.99 -0.06 9.70 16 6 O -0.56 -11.91 13.51 5.56 0.08 -11.84 16 7 N -0.68 -12.03 4.44 -53.69 -0.24 -12.27 16 8 C 0.13 2.27 2.81 -67.81 -0.19 2.08 16 9 H 0.08 1.39 7.58 -51.93 -0.39 0.99 16 10 C -0.12 -1.74 5.59 -26.65 -0.15 -1.88 16 11 C -0.13 -1.97 5.21 -26.57 -0.14 -2.11 16 12 C 0.17 3.12 3.50 -67.60 -0.24 2.88 16 13 H 0.03 0.50 8.14 -51.92 -0.42 0.08 16 14 C -0.13 -2.29 7.94 37.15 0.29 -1.99 16 15 N -0.59 -13.08 2.68 -164.77 -0.44 -13.52 16 16 C -0.24 -6.15 9.06 -15.06 -0.14 -6.28 16 17 H 0.09 2.37 6.37 -52.49 -0.33 2.03 16 18 C 0.03 0.70 5.24 -17.43 -0.09 0.61 16 19 N -0.91 -26.85 13.97 55.49 0.78 -26.07 16 20 Si 0.87 22.93 24.35 -169.99 -4.14 18.79 16 21 H -0.29 -7.80 6.72 56.52 0.38 -7.42 16 22 H -0.31 -8.30 7.11 56.52 0.40 -7.90 16 23 H -0.27 -6.99 6.44 56.52 0.36 -6.62 16 24 C 0.12 2.60 3.79 -3.71 -0.01 2.59 16 25 C -0.14 -1.71 4.68 -26.49 -0.12 -1.84 16 26 C 0.06 0.75 6.62 37.31 0.25 1.00 16 27 O -0.39 -5.56 10.77 -35.23 -0.38 -5.94 16 28 C 0.05 0.75 6.55 37.21 0.24 1.00 16 29 C -0.13 -1.84 4.56 -26.59 -0.12 -1.96 16 30 H 0.03 0.34 8.14 -51.93 -0.42 -0.08 16 31 H 0.08 1.15 8.14 -51.93 -0.42 0.73 16 32 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 33 H 0.06 1.22 8.14 -51.93 -0.42 0.80 16 34 H 0.05 0.68 8.14 -51.93 -0.42 0.26 16 35 H 0.41 6.80 4.15 -40.82 -0.17 6.63 16 36 H 0.06 0.72 8.14 -51.93 -0.42 0.29 16 37 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 38 H 0.05 0.71 8.14 -51.93 -0.42 0.28 16 39 H 0.06 0.98 6.41 -51.93 -0.33 0.65 16 40 H 0.06 0.99 7.45 -51.93 -0.39 0.61 16 41 H 0.04 0.54 8.14 -51.93 -0.42 0.12 16 42 H 0.06 1.19 7.61 -51.93 -0.40 0.79 16 43 H 0.26 7.48 8.31 -40.82 -0.34 7.14 16 44 H 0.03 0.62 6.95 -51.93 -0.36 0.26 16 45 H 0.08 2.02 4.60 -51.93 -0.24 1.78 16 46 H 0.08 1.02 7.15 -51.93 -0.37 0.65 16 47 H 0.08 0.90 8.14 -51.93 -0.42 0.48 16 48 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 49 H 0.05 0.68 7.38 -51.93 -0.38 0.30 16 50 H 0.09 1.11 8.14 -51.93 -0.42 0.69 16 51 H 0.08 1.32 5.81 -51.93 -0.30 1.02 16 52 H 0.07 0.92 8.14 -51.93 -0.42 0.50 16 53 H 0.08 1.33 8.03 -51.92 -0.42 0.91 16 LS Contribution 386.38 15.07 5.82 5.82 Total: -1.00 -30.64 386.38 -7.25 -37.89 By element: Atomic # 1 Polarization: 17.04 SS G_CDS: -9.20 Total: 7.84 kcal Atomic # 6 Polarization: 5.04 SS G_CDS: 0.74 Total: 5.78 kcal Atomic # 7 Polarization: -51.96 SS G_CDS: 0.10 Total: -51.87 kcal Atomic # 8 Polarization: -23.69 SS G_CDS: -0.57 Total: -24.26 kcal Atomic # 14 Polarization: 22.93 SS G_CDS: -4.14 Total: 18.79 kcal Total LS contribution 5.82 Total: 5.82 kcal Total: -30.64 -7.25 -37.89 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. ZINC001132102598.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 -67.322 kcal (2) G-P(sol) polarization free energy of solvation -30.640 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -97.961 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.254 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.894 kcal (6) G-S(sol) free energy of system = (1) + (5) -105.216 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.35 seconds