Wall clock time and date at job start Tue Mar 31 2020 23:19:30 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 1.42905 * 1 3 3 C 1.42902 * 113.99461 * 2 1 4 4 C 1.53008 * 109.46843 * 179.97438 * 3 2 1 5 5 H 1.09010 * 109.46725 * 54.99913 * 4 3 2 6 6 O 1.42898 * 109.47494 * 295.00170 * 4 3 2 7 7 C 1.42895 * 114.00254 * 149.99840 * 6 4 3 8 8 C 1.50701 * 109.47031 * 174.99526 * 4 3 2 9 9 O 1.21282 * 119.99427 * 115.00224 * 8 4 3 10 10 N 1.34769 * 119.99988 * 295.00263 * 8 4 3 11 11 C 1.47567 * 125.63358 * 359.97438 * 10 8 4 12 12 C 1.54141 * 104.78418 * 203.34597 * 11 10 8 13 13 C 1.54377 * 102.47439 * 323.91289 * 12 11 10 14 14 C 1.47088 * 125.62719 * 179.97438 * 10 8 4 15 15 H 1.09002 * 109.87736 * 59.40744 * 14 10 8 16 16 C 1.53001 * 109.87893 * 298.40813 * 14 10 8 17 17 C 1.52105 * 110.65896 * 206.02620 * 12 11 10 18 18 C 1.53347 * 109.44377 * 295.59668 * 17 12 11 19 19 N 1.46929 * 108.69140 * 306.70387 * 18 17 12 20 20 C 1.36929 * 120.55786 * 234.37730 * 19 18 17 21 21 H 1.07999 * 120.00073 * 27.94765 * 20 19 18 22 22 C 1.38812 * 120.00510 * 207.95238 * 20 19 18 23 23 N 1.31623 * 119.99446 * 17.47336 * 22 20 19 24 24 Si 1.86794 * 120.00475 * 197.47653 * 22 20 19 25 25 H 1.48507 * 109.47156 * 359.97438 * 24 22 20 26 26 H 1.48496 * 109.47380 * 119.99745 * 24 22 20 27 27 H 1.48501 * 109.47023 * 239.99957 * 24 22 20 28 28 C 1.46940 * 118.88968 * 54.35469 * 19 18 17 29 29 C 1.52102 * 110.65374 * 81.78607 * 12 11 10 30 30 H 1.08997 * 109.46572 * 60.00989 * 1 2 3 31 31 H 1.09003 * 109.46477 * 180.02562 * 1 2 3 32 32 H 1.08996 * 109.47428 * 300.00446 * 1 2 3 33 33 H 1.09001 * 109.47592 * 59.99589 * 3 2 1 34 34 H 1.08997 * 109.47044 * 299.99053 * 3 2 1 35 35 H 1.09000 * 109.47279 * 180.02562 * 7 6 4 36 36 H 1.08998 * 109.47222 * 299.99838 * 7 6 4 37 37 H 1.09002 * 109.47167 * 59.99796 * 7 6 4 38 38 H 1.08997 * 110.37592 * 322.17410 * 11 10 8 39 39 H 1.09001 * 110.37462 * 84.52168 * 11 10 8 40 40 H 1.08998 * 110.73210 * 276.29884 * 13 12 11 41 41 H 1.08996 * 110.73161 * 152.98470 * 13 12 11 42 42 H 1.09005 * 109.47090 * 61.45092 * 16 14 10 43 43 H 1.09004 * 109.47127 * 301.45522 * 16 14 10 44 44 H 1.08997 * 109.47451 * 181.45399 * 16 14 10 45 45 H 1.08993 * 109.47363 * 55.58903 * 17 12 11 46 46 H 1.08994 * 109.47270 * 175.60919 * 17 12 11 47 47 H 1.08994 * 109.59729 * 186.94173 * 18 17 12 48 48 H 1.09005 * 109.72932 * 66.54681 * 18 17 12 49 49 H 0.97003 * 119.99657 * 180.02562 * 23 22 20 50 50 H 1.09000 * 109.59935 * 185.88546 * 28 19 18 51 51 H 1.09000 * 109.73624 * 65.48059 * 28 19 18 52 52 H 1.08996 * 109.48120 * 184.39212 * 29 12 11 53 53 H 1.09002 * 109.48065 * 304.40430 * 29 12 11 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 1.4290 0.0000 0.0000 3 6 2.0102 1.3055 0.0000 4 6 3.5355 1.1848 0.0006 5 1 3.8514 0.5683 -0.8410 6 8 3.9650 0.5798 1.2219 7 6 5.1683 -0.1814 1.1018 8 6 4.1480 2.5561 -0.1233 9 8 4.8062 3.0108 0.7883 10 7 3.9643 3.2771 -1.2470 11 6 3.1903 2.8470 -2.4275 12 6 3.7565 3.6804 -3.5940 13 6 4.0582 5.0360 -2.9198 14 6 4.5022 4.6227 -1.4992 15 1 5.5904 4.6039 -1.4395 16 6 3.9419 5.6080 -0.4715 17 6 2.7141 3.8487 -4.6889 18 6 2.3832 2.4790 -5.2936 19 7 3.6353 1.8344 -5.7128 20 6 3.7912 1.3857 -6.9971 21 1 3.2525 1.8600 -7.8040 22 6 4.6417 0.3210 -7.2619 23 7 5.0268 -0.4723 -6.2848 24 14 5.2394 0.0142 -9.0048 25 1 4.6656 1.0398 -9.9127 26 1 6.7218 0.0942 -9.0410 27 1 4.8056 -1.3356 -9.4465 28 6 4.7175 1.6799 -4.7310 29 6 5.0351 3.0543 -4.1296 30 1 -0.3632 0.5137 -0.8901 31 1 -0.3632 -1.0277 0.0005 32 1 -0.3634 0.5139 0.8899 33 1 1.6885 1.8465 0.8899 34 1 1.6886 1.8463 -0.8900 35 1 5.4268 -0.6079 2.0710 36 1 5.0196 -0.9845 0.3799 37 1 5.9761 0.4670 0.7626 38 1 3.3404 1.7835 -2.6129 39 1 2.1312 3.0627 -2.2861 40 1 3.1617 5.6546 -2.8789 41 1 4.8632 5.5550 -3.4401 42 1 4.2486 5.3031 0.5290 43 1 2.8535 5.6157 -0.5314 44 1 4.3243 6.6072 -0.6801 45 1 1.8104 4.2871 -4.2658 46 1 3.1065 4.5040 -5.4665 47 1 1.7315 2.6086 -6.1576 48 1 1.8841 1.8588 -4.5489 49 1 5.6214 -1.2161 -6.4698 50 1 5.6047 1.2827 -5.2242 51 1 4.4028 0.9987 -3.9404 52 1 5.4604 3.6982 -4.8993 53 1 5.7514 2.9383 -3.3162 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 ZINC001707125632.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 23:19:30 Heat of formation + Delta-G solvation = -98.709119 kcal Electronic energy + Delta-G solvation = -32955.477728 eV Core-core repulsion = 28828.235121 eV Total energy + Delta-G solvation = -4127.242607 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.39 seconds Orbital eigenvalues (eV) -40.81487 -39.09515 -37.83829 -36.98102 -35.94157 -33.21762 -32.50037 -30.86366 -30.28528 -30.01706 -27.30139 -26.84416 -26.13143 -25.90379 -24.40037 -23.67405 -22.46625 -21.67084 -20.75993 -19.17577 -18.30779 -17.61560 -16.91331 -16.54645 -16.43274 -16.03722 -15.75200 -15.26273 -15.00047 -14.81253 -14.32158 -14.14132 -14.08586 -13.79760 -13.73783 -13.33905 -13.27790 -13.00470 -12.86088 -12.65910 -12.42803 -12.31581 -11.97967 -11.81844 -11.79377 -11.49826 -11.40331 -11.28172 -11.16841 -11.00349 -10.87380 -10.76298 -10.58042 -10.43973 -10.24631 -10.21849 -9.90204 -9.77746 -9.59405 -9.44761 -9.22905 -8.57859 -8.50370 -6.72056 -5.83943 -3.26137 2.51678 2.85097 3.33787 3.42455 3.43892 3.65995 3.73096 4.44923 4.46685 4.62373 4.80224 4.87512 4.90487 4.97072 5.13600 5.22824 5.23434 5.27515 5.31998 5.35692 5.36814 5.38086 5.49384 5.50584 5.54109 5.58196 5.59176 5.69635 5.71314 5.74773 5.82497 5.88923 5.96901 6.02261 6.09608 6.21847 6.23940 6.38984 6.42428 6.54776 6.60004 6.64383 6.77273 6.87466 6.95113 7.01730 7.27341 7.54912 7.58841 7.75646 8.18241 8.39979 9.16197 9.79724 10.35492 11.24350 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010636 B = 0.003974 C = 0.003518 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2632.040265 B = 7044.032505 C = 7956.181738 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.379 6.379 3 C 0.069 3.931 4 C 0.078 3.922 5 H 0.099 0.901 6 O -0.353 6.353 7 C 0.030 3.970 8 C 0.512 3.488 9 O -0.527 6.527 10 N -0.607 5.607 11 C 0.101 3.899 12 C -0.054 4.054 13 C -0.122 4.122 14 C 0.136 3.864 15 H 0.074 0.926 16 C -0.160 4.160 17 C -0.118 4.118 18 C 0.144 3.856 19 N -0.590 5.590 20 C -0.252 4.252 21 H 0.066 0.934 22 C 0.003 3.997 23 N -0.901 5.901 24 Si 0.900 3.100 25 H -0.278 1.278 26 H -0.289 1.289 27 H -0.290 1.290 28 C 0.171 3.829 29 C -0.127 4.127 30 H 0.044 0.956 31 H 0.088 0.912 32 H 0.040 0.960 33 H 0.061 0.939 34 H 0.073 0.927 35 H 0.088 0.912 36 H 0.047 0.953 37 H 0.044 0.956 38 H 0.088 0.912 39 H 0.066 0.934 40 H 0.074 0.926 41 H 0.080 0.920 42 H 0.067 0.933 43 H 0.054 0.946 44 H 0.063 0.937 45 H 0.053 0.947 46 H 0.065 0.935 47 H 0.054 0.946 48 H 0.017 0.983 49 H 0.253 0.747 50 H 0.088 0.912 51 H 0.016 0.984 52 H 0.060 0.940 53 H 0.048 0.952 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.796 7.423 11.380 14.771 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 -0.065 4.065 2 O -0.298 6.298 3 C -0.008 4.008 4 C 0.017 3.983 5 H 0.117 0.883 6 O -0.270 6.270 7 C -0.066 4.066 8 C 0.299 3.701 9 O -0.403 6.403 10 N -0.343 5.343 11 C -0.021 4.021 12 C -0.055 4.055 13 C -0.160 4.160 14 C 0.034 3.966 15 H 0.092 0.908 16 C -0.219 4.219 17 C -0.157 4.157 18 C 0.017 3.983 19 N -0.312 5.312 20 C -0.382 4.382 21 H 0.083 0.917 22 C -0.195 4.195 23 N -0.546 5.546 24 Si 0.730 3.270 25 H -0.203 1.203 26 H -0.216 1.216 27 H -0.217 1.217 28 C 0.046 3.954 29 C -0.166 4.166 30 H 0.062 0.938 31 H 0.106 0.894 32 H 0.059 0.941 33 H 0.079 0.921 34 H 0.091 0.909 35 H 0.107 0.893 36 H 0.066 0.934 37 H 0.062 0.938 38 H 0.106 0.894 39 H 0.084 0.916 40 H 0.093 0.907 41 H 0.099 0.901 42 H 0.086 0.914 43 H 0.073 0.927 44 H 0.082 0.918 45 H 0.071 0.929 46 H 0.084 0.916 47 H 0.073 0.927 48 H 0.035 0.965 49 H 0.063 0.937 50 H 0.106 0.894 51 H 0.034 0.966 52 H 0.078 0.922 53 H 0.067 0.933 Dipole moment (debyes) X Y Z Total from point charges -5.317 7.295 12.117 15.110 hybrid contribution 0.371 -0.070 -1.151 1.211 sum -4.945 7.226 10.967 14.033 Atomic orbital electron populations 1.22769 0.80667 1.03028 1.00008 1.87928 1.19884 1.26541 1.95417 1.22515 0.90467 0.86071 1.01712 1.21935 0.94037 0.91994 0.90370 0.88324 1.87963 1.42274 1.67021 1.29703 1.22863 0.86463 0.94542 1.02750 1.20693 0.81355 0.86782 0.81220 1.90679 1.40229 1.70922 1.38464 1.48735 1.52235 1.17371 1.15931 1.22641 0.94573 1.00989 0.83913 1.20981 0.97490 0.93304 0.93706 1.22823 1.01909 0.97750 0.93492 1.21581 0.98361 0.81695 0.95012 0.90816 1.22131 1.00922 0.98578 1.00221 1.21871 0.96493 1.00329 0.97055 1.20945 0.89583 0.90745 0.97003 1.44028 1.09822 1.68387 1.08998 1.19210 1.25293 1.09967 0.83740 0.91664 1.25019 1.01985 0.95332 0.97187 1.70035 1.37227 1.16420 1.30910 0.86267 0.78516 0.77664 0.84583 1.20264 1.21588 1.21742 1.20813 0.93601 0.90049 0.90973 1.22032 0.94412 1.00991 0.99187 0.93756 0.89355 0.94118 0.92089 0.90937 0.89324 0.93436 0.93758 0.89362 0.91571 0.90717 0.90121 0.91444 0.92687 0.91849 0.92870 0.91647 0.92699 0.96517 0.93672 0.89368 0.96558 0.92157 0.93310 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 19. 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 0.03 0.32 11.01 101.05 1.11 1.43 16 2 O -0.38 -5.23 10.67 -40.08 -0.43 -5.66 16 3 C 0.07 0.91 5.50 37.16 0.20 1.11 16 4 C 0.08 1.16 2.16 -27.88 -0.06 1.10 16 5 H 0.10 1.48 7.27 -51.92 -0.38 1.10 16 6 O -0.35 -5.55 9.85 -59.70 -0.59 -6.14 16 7 C 0.03 0.40 10.81 101.05 1.09 1.49 16 8 C 0.51 8.08 6.99 -10.99 -0.08 8.00 16 9 O -0.53 -9.74 15.54 -14.30 -0.22 -9.96 16 10 N -0.61 -8.61 3.06 -163.24 -0.50 -9.11 16 11 C 0.10 1.41 3.36 -2.86 -0.01 1.40 16 12 C -0.05 -0.78 0.54 -154.10 -0.08 -0.86 16 13 C -0.12 -1.46 5.42 -25.24 -0.14 -1.59 16 14 C 0.14 1.77 3.10 -66.84 -0.21 1.56 16 15 H 0.07 1.03 8.14 -51.93 -0.42 0.61 16 16 C -0.16 -1.87 9.10 37.16 0.34 -1.54 16 17 C -0.12 -1.75 4.83 -27.01 -0.13 -1.88 16 18 C 0.14 2.68 6.24 -3.63 -0.02 2.66 16 19 N -0.59 -13.61 2.98 -172.12 -0.51 -14.12 16 20 C -0.25 -6.58 9.57 -15.06 -0.14 -6.72 16 21 H 0.07 1.68 7.89 -52.49 -0.41 1.27 16 22 C 0.00 0.09 4.90 -17.43 -0.09 0.01 16 23 N -0.90 -25.24 11.20 55.49 0.62 -24.62 16 24 Si 0.90 21.06 29.59 -169.99 -5.03 16.03 16 25 H -0.28 -6.35 7.11 56.52 0.40 -5.95 16 26 H -0.29 -6.83 7.11 56.52 0.40 -6.43 16 27 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 28 C 0.17 3.78 5.01 -3.62 -0.02 3.76 16 29 C -0.13 -2.22 4.83 -27.01 -0.13 -2.35 16 30 H 0.04 0.40 8.14 -51.93 -0.42 -0.02 16 31 H 0.09 0.77 8.14 -51.93 -0.42 0.34 16 32 H 0.04 0.35 8.14 -51.93 -0.42 -0.07 16 33 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 34 H 0.07 0.86 5.44 -51.93 -0.28 0.57 16 35 H 0.09 0.97 8.14 -51.93 -0.42 0.54 16 36 H 0.05 0.58 8.08 -51.93 -0.42 0.16 16 37 H 0.04 0.60 8.14 -51.93 -0.42 0.18 16 38 H 0.09 1.41 5.41 -51.93 -0.28 1.13 16 39 H 0.07 0.82 6.88 -51.93 -0.36 0.46 16 40 H 0.07 0.79 7.70 -51.93 -0.40 0.39 16 41 H 0.08 0.93 8.01 -51.93 -0.42 0.51 16 42 H 0.07 0.92 6.88 -51.93 -0.36 0.57 16 43 H 0.05 0.61 8.14 -51.93 -0.42 0.18 16 44 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 45 H 0.05 0.66 8.09 -51.93 -0.42 0.24 16 46 H 0.06 1.01 8.14 -51.93 -0.42 0.59 16 47 H 0.05 1.02 7.93 -51.93 -0.41 0.61 16 48 H 0.02 0.31 7.65 -51.93 -0.40 -0.08 16 49 H 0.25 6.90 8.31 -40.82 -0.34 6.56 16 50 H 0.09 2.25 6.01 -51.93 -0.31 1.94 16 51 H 0.02 0.38 6.58 -51.93 -0.34 0.04 16 52 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 53 H 0.05 0.83 7.84 -51.93 -0.41 0.42 16 LS Contribution 403.13 15.07 6.08 6.08 Total: -1.00 -31.02 403.13 -8.32 -39.34 By element: Atomic # 1 Polarization: 9.96 SS G_CDS: -9.38 Total: 0.58 kcal Atomic # 6 Polarization: 5.94 SS G_CDS: 1.64 Total: 7.59 kcal Atomic # 7 Polarization: -47.45 SS G_CDS: -0.39 Total: -47.84 kcal Atomic # 8 Polarization: -20.52 SS G_CDS: -1.24 Total: -21.76 kcal Atomic # 14 Polarization: 21.06 SS G_CDS: -5.03 Total: 16.03 kcal Total LS contribution 6.08 Total: 6.08 kcal Total: -31.02 -8.32 -39.34 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. ZINC001707125632.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 -59.372 kcal (2) G-P(sol) polarization free energy of solvation -31.016 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -90.388 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.321 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.337 kcal (6) G-S(sol) free energy of system = (1) + (5) -98.709 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.39 seconds