Wall clock time and date at job start Wed Apr 1 2020 00:18:49 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 1.45198 * 1 3 3 C 1.34227 * 116.99835 * 2 1 4 4 O 1.20819 * 120.00270 * 359.97438 * 3 2 1 5 5 C 1.50700 * 119.99648 * 180.02562 * 3 2 1 6 6 C 1.53003 * 110.30727 * 299.27430 * 5 3 2 7 7 C 1.54388 * 110.34602 * 61.45094 * 5 3 2 8 8 N 1.48146 * 104.61575 * 95.00095 * 7 5 3 9 9 C 1.34776 * 127.83797 * 219.32646 * 8 7 5 10 10 O 1.21586 * 120.00076 * 0.02562 * 9 8 7 11 11 N 1.34784 * 119.99880 * 180.02562 * 9 8 7 12 12 C 1.46501 * 119.99614 * 179.97438 * 11 9 8 13 13 C 1.53005 * 109.46722 * 179.97438 * 12 11 9 14 14 C 1.52990 * 109.47381 * 300.00181 * 13 12 11 15 15 C 1.52998 * 109.46793 * 60.00764 * 13 12 11 16 16 C 1.53005 * 109.46751 * 180.02562 * 13 12 11 17 17 C 1.50697 * 109.46839 * 180.02562 * 16 13 12 18 18 H 1.08006 * 120.00322 * 359.97438 * 17 16 13 19 19 C 1.37875 * 120.00366 * 180.02562 * 17 16 13 20 20 N 1.31509 * 120.00437 * 179.97438 * 19 17 16 21 21 Si 1.86807 * 119.99662 * 359.97438 * 19 17 16 22 22 H 1.48502 * 109.46865 * 90.00127 * 21 19 17 23 23 H 1.48494 * 109.47330 * 210.00095 * 21 19 17 24 24 H 1.48496 * 109.46973 * 330.00225 * 21 19 17 25 25 C 1.48142 * 104.32318 * 39.58929 * 8 7 5 26 26 C 1.54285 * 110.34270 * 176.98987 * 5 3 2 27 27 H 1.08997 * 110.34149 * 0.10076 * 26 5 3 28 28 C 1.52997 * 110.34541 * 122.25816 * 26 5 3 29 29 H 1.09004 * 109.47183 * 180.02562 * 1 2 3 30 30 H 1.09005 * 109.47386 * 300.00273 * 1 2 3 31 31 H 1.08998 * 109.47200 * 59.99922 * 1 2 3 32 32 H 1.09002 * 109.47455 * 180.72220 * 6 5 3 33 33 H 1.08996 * 109.47228 * 300.72743 * 6 5 3 34 34 H 1.09000 * 109.46729 * 60.72093 * 6 5 3 35 35 H 1.09001 * 110.40633 * 336.22493 * 7 5 3 36 36 H 1.08996 * 110.40921 * 213.78642 * 7 5 3 37 37 H 0.96989 * 119.99845 * 359.97438 * 11 9 8 38 38 H 1.08997 * 109.47412 * 299.99520 * 12 11 9 39 39 H 1.09004 * 109.46899 * 60.00458 * 12 11 9 40 40 H 1.09010 * 109.47222 * 60.00120 * 14 13 12 41 41 H 1.08997 * 109.47100 * 179.97438 * 14 13 12 42 42 H 1.08996 * 109.47438 * 299.99961 * 14 13 12 43 43 H 1.08998 * 109.47615 * 59.99198 * 15 13 12 44 44 H 1.08997 * 109.47063 * 179.97438 * 15 13 12 45 45 H 1.09010 * 109.46859 * 299.99297 * 15 13 12 46 46 H 1.08997 * 109.47302 * 299.99973 * 16 13 12 47 47 H 1.08996 * 109.47128 * 60.00614 * 16 13 12 48 48 H 0.97004 * 120.00210 * 180.02562 * 20 19 17 49 49 H 1.09002 * 110.40643 * 79.19769 * 25 8 7 50 50 H 1.09004 * 110.41038 * 201.62402 * 25 8 7 51 51 H 1.09000 * 109.47374 * 59.99673 * 28 26 5 52 52 H 1.09003 * 109.47337 * 180.02562 * 28 26 5 53 53 H 1.09000 * 109.46819 * 299.99959 * 28 26 5 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 1.4520 0.0000 0.0000 3 6 2.0613 1.1960 0.0000 4 8 1.4033 2.2093 -0.0005 5 6 3.5663 1.2748 -0.0006 6 6 4.1337 0.6016 1.2507 7 6 4.1380 0.6123 -1.2725 8 7 4.3265 1.7316 -2.2245 9 6 4.0933 1.7360 -3.5520 10 8 3.6766 0.7335 -4.0994 11 7 4.3221 2.8518 -4.2727 12 6 4.0692 2.8564 -5.7156 13 6 4.4071 4.2344 -6.2882 14 6 3.5343 5.2948 -5.6140 15 6 5.8820 4.5470 -6.0280 16 6 4.1423 4.2394 -7.7951 17 6 4.4757 5.5965 -8.3592 18 1 4.8396 6.3775 -7.7079 19 6 4.3152 5.8416 -9.7064 20 7 4.6057 7.0261 -10.1986 21 14 3.6851 4.4911 -10.8328 22 1 2.2028 4.5527 -10.8983 23 1 4.2489 4.6784 -12.1937 24 1 4.1026 3.1687 -10.3017 25 6 4.8356 2.8428 -1.3876 26 6 4.0263 2.7455 -0.0764 27 1 3.1637 3.4110 -0.1115 28 6 4.9129 3.0881 1.1225 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3634 0.5139 0.8900 31 1 -0.3633 0.5138 -0.8900 32 1 5.2211 0.6776 1.2428 33 1 3.7413 1.0964 2.1391 34 1 3.8430 -0.4488 1.2616 35 1 3.4304 -0.1131 -1.6741 36 1 5.0926 0.1333 -1.0552 37 1 4.6542 3.6516 -3.8359 38 1 4.6907 2.1007 -6.1959 39 1 3.0183 2.6341 -5.9010 40 1 3.7225 5.2914 -4.5403 41 1 3.7754 6.2766 -6.0216 42 1 2.4836 5.0721 -5.7994 43 1 6.5038 3.7915 -6.5083 44 1 6.1229 5.5285 -6.4363 45 1 6.0702 4.5436 -4.9543 46 1 4.7638 3.4840 -8.2758 47 1 3.0915 4.0169 -7.9801 48 1 4.4924 7.1986 -11.1464 49 1 5.8992 2.7121 -1.1883 50 1 4.6544 3.8004 -1.8759 51 1 5.7899 2.4408 1.1226 52 1 5.2290 4.1291 1.0550 53 1 4.3509 2.9385 2.0444 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 ZINC000602319196.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:18:49 Heat of formation + Delta-G solvation = -119.810798 kcal Electronic energy + Delta-G solvation = -31416.426203 eV Core-core repulsion = 27288.268559 eV Total energy + Delta-G solvation = -4128.157645 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.05 seconds Orbital eigenvalues (eV) -41.50416 -40.00767 -38.57491 -37.15015 -36.63505 -34.00433 -33.40058 -32.05475 -31.65466 -28.11353 -28.02151 -27.40733 -26.54250 -26.35847 -25.73720 -24.28357 -22.33167 -22.05910 -20.04034 -19.29695 -18.79609 -17.80432 -17.54053 -17.04161 -16.80616 -16.70243 -16.09208 -15.81821 -14.89456 -14.66271 -14.47286 -14.31495 -14.20959 -13.84749 -13.75328 -13.48259 -13.33591 -13.26252 -12.74921 -12.65973 -12.53079 -12.48672 -12.37144 -12.27226 -12.21854 -11.98889 -11.55932 -11.31425 -11.23223 -11.10838 -11.10061 -10.99591 -10.94489 -10.65175 -10.60189 -10.46398 -10.12957 -9.95520 -9.73451 -9.50737 -9.06743 -8.98059 -8.57599 -8.52094 -6.03006 -4.00169 1.87092 2.31337 2.52349 3.26826 3.33120 3.40948 3.45485 3.79273 3.98241 4.14721 4.29582 4.47153 4.50910 4.63252 4.79865 4.86382 4.89944 4.96365 5.07113 5.10703 5.18133 5.20512 5.29827 5.30396 5.37264 5.40166 5.43938 5.52659 5.56255 5.59935 5.65642 5.75774 5.81329 5.99725 6.08149 6.13391 6.14786 6.20091 6.34537 6.52062 6.61183 6.73945 6.92175 7.02838 7.03689 7.07089 7.22141 7.38598 7.40924 7.79212 8.04073 8.53935 8.68062 9.00987 9.59813 11.09711 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018303 B = 0.002474 C = 0.002357 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1529.409943 B =11313.710293 C =11874.950015 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.355 6.355 3 C 0.475 3.525 4 O -0.500 6.500 5 C -0.066 4.066 6 C -0.137 4.137 7 C 0.138 3.862 8 N -0.647 5.647 9 C 0.726 3.274 10 O -0.590 6.590 11 N -0.733 5.733 12 C 0.144 3.856 13 C -0.063 4.063 14 C -0.128 4.128 15 C -0.127 4.127 16 C -0.002 4.002 17 C -0.510 4.510 18 H 0.078 0.922 19 C 0.067 3.933 20 N -0.904 5.904 21 Si 0.874 3.126 22 H -0.278 1.278 23 H -0.289 1.289 24 H -0.265 1.265 25 C 0.106 3.894 26 C -0.099 4.099 27 H 0.106 0.894 28 C -0.143 4.143 29 H 0.103 0.897 30 H 0.062 0.938 31 H 0.064 0.936 32 H 0.081 0.919 33 H 0.068 0.932 34 H 0.071 0.929 35 H 0.093 0.907 36 H 0.086 0.914 37 H 0.395 0.605 38 H 0.063 0.937 39 H 0.061 0.939 40 H 0.029 0.971 41 H 0.072 0.928 42 H 0.047 0.953 43 H 0.047 0.953 44 H 0.072 0.928 45 H 0.029 0.971 46 H 0.019 0.981 47 H 0.014 0.986 48 H 0.262 0.738 49 H 0.077 0.923 50 H 0.080 0.920 51 H 0.064 0.936 52 H 0.064 0.936 53 H 0.063 0.937 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.371 -12.652 27.699 30.454 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 -0.058 4.058 2 O -0.271 6.271 3 C 0.318 3.682 4 O -0.387 6.387 5 C -0.069 4.069 6 C -0.195 4.195 7 C 0.014 3.986 8 N -0.386 5.386 9 C 0.428 3.572 10 O -0.468 6.468 11 N -0.388 5.388 12 C 0.021 3.979 13 C -0.063 4.063 14 C -0.185 4.185 15 C -0.184 4.184 16 C -0.040 4.040 17 C -0.548 4.548 18 H 0.096 0.904 19 C -0.134 4.134 20 N -0.543 5.543 21 Si 0.702 3.298 22 H -0.204 1.204 23 H -0.215 1.215 24 H -0.189 1.189 25 C -0.018 4.018 26 C -0.118 4.118 27 H 0.124 0.876 28 C -0.201 4.201 29 H 0.121 0.879 30 H 0.081 0.919 31 H 0.083 0.917 32 H 0.100 0.900 33 H 0.087 0.913 34 H 0.090 0.910 35 H 0.111 0.889 36 H 0.104 0.896 37 H 0.231 0.769 38 H 0.081 0.919 39 H 0.080 0.920 40 H 0.048 0.952 41 H 0.091 0.909 42 H 0.066 0.934 43 H 0.066 0.934 44 H 0.091 0.909 45 H 0.048 0.952 46 H 0.037 0.963 47 H 0.032 0.968 48 H 0.072 0.928 49 H 0.096 0.904 50 H 0.098 0.902 51 H 0.083 0.917 52 H 0.083 0.917 53 H 0.082 0.918 Dipole moment (debyes) X Y Z Total from point charges -0.941 -12.991 26.933 29.917 hybrid contribution -0.537 -0.121 -0.561 0.786 sum -1.478 -13.112 26.372 29.489 Atomic orbital electron populations 1.23302 0.76032 1.03867 1.02643 1.86477 1.23608 1.33091 1.83908 1.23374 0.91554 0.81458 0.71858 1.90650 1.66760 1.36348 1.44909 1.21511 0.87621 0.98859 0.98885 1.21932 1.02079 1.00915 0.94552 1.22141 1.01616 0.89462 0.85358 1.47999 1.70566 1.14572 1.05471 1.15387 0.78536 0.84138 0.79140 1.90922 1.53035 1.33493 1.69332 1.45323 1.70895 1.12874 1.09700 1.21534 1.00805 0.98628 0.76954 1.20700 0.95711 0.91642 0.98262 1.21765 0.99107 1.00507 0.97117 1.21758 0.95235 1.03187 0.98255 1.19589 0.96380 0.98404 0.89588 1.21075 1.43820 0.96315 0.93585 0.90394 1.24993 0.95059 0.95188 0.98188 1.69900 1.49389 1.21459 1.13599 0.86861 0.79371 0.83381 0.80185 1.20383 1.21522 1.18948 1.22469 0.98006 0.91137 0.90143 1.22281 1.00234 0.93884 0.95435 0.87629 1.21925 0.99262 1.02093 0.96799 0.87903 0.91905 0.91719 0.90036 0.91309 0.90999 0.88899 0.89573 0.76930 0.91895 0.92032 0.95194 0.90867 0.93399 0.93364 0.90878 0.95160 0.96298 0.96776 0.92811 0.90443 0.90159 0.91706 0.91742 0.91810 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 12. 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 0.28 10.56 101.05 1.07 1.35 16 2 O -0.35 -3.60 10.26 -39.25 -0.40 -4.00 16 3 C 0.48 5.27 6.54 36.01 0.24 5.50 16 4 O -0.50 -6.89 15.01 -18.74 -0.28 -7.18 16 5 C -0.07 -0.55 0.97 -154.26 -0.15 -0.70 16 6 C -0.14 -0.69 7.21 37.16 0.27 -0.43 16 7 C 0.14 1.36 6.12 -2.41 -0.01 1.35 16 8 N -0.65 -7.82 3.32 -175.02 -0.58 -8.40 16 9 C 0.73 11.71 8.57 -86.91 -0.74 10.96 16 10 O -0.59 -11.82 16.61 5.29 0.09 -11.73 16 11 N -0.73 -11.13 4.94 -65.22 -0.32 -11.45 16 12 C 0.14 2.54 4.56 -4.04 -0.02 2.52 16 13 C -0.06 -1.17 0.54 -154.51 -0.08 -1.25 16 14 C -0.13 -2.28 8.05 37.15 0.30 -1.98 16 15 C -0.13 -2.22 8.05 37.16 0.30 -1.92 16 16 C 0.00 -0.04 3.11 -27.88 -0.09 -0.13 16 17 C -0.51 -13.73 8.20 -34.44 -0.28 -14.01 16 18 H 0.08 2.21 5.92 -52.48 -0.31 1.90 16 19 C 0.07 1.90 5.47 -17.82 -0.10 1.80 16 20 N -0.90 -27.36 13.96 55.43 0.77 -26.59 16 21 Si 0.87 21.69 27.47 -169.99 -4.67 17.02 16 22 H -0.28 -6.84 7.11 56.52 0.40 -6.44 16 23 H -0.29 -7.16 7.11 56.52 0.40 -6.75 16 24 H -0.26 -6.37 6.54 56.52 0.37 -6.00 16 25 C 0.11 0.91 6.46 -2.41 -0.02 0.89 16 26 C -0.10 -0.78 3.25 -89.22 -0.29 -1.07 16 27 H 0.11 1.07 6.47 -51.93 -0.34 0.73 16 28 C -0.14 -0.71 7.94 37.16 0.30 -0.42 16 29 H 0.10 0.53 8.14 -51.93 -0.42 0.10 16 30 H 0.06 0.45 8.13 -51.93 -0.42 0.03 16 31 H 0.06 0.58 8.13 -51.93 -0.42 0.16 16 32 H 0.08 0.28 6.62 -51.93 -0.34 -0.06 16 33 H 0.07 0.32 6.99 -51.93 -0.36 -0.04 16 34 H 0.07 0.34 8.14 -51.93 -0.42 -0.08 16 35 H 0.09 1.10 7.39 -51.93 -0.38 0.72 16 36 H 0.09 0.65 7.86 -51.93 -0.41 0.24 16 37 H 0.39 5.17 4.56 -40.82 -0.19 4.98 16 38 H 0.06 1.16 8.14 -51.93 -0.42 0.73 16 39 H 0.06 1.15 8.14 -51.93 -0.42 0.73 16 40 H 0.03 0.44 6.86 -51.92 -0.36 0.08 16 41 H 0.07 1.45 6.62 -51.93 -0.34 1.10 16 42 H 0.05 0.87 8.14 -51.93 -0.42 0.44 16 43 H 0.05 0.84 8.14 -51.93 -0.42 0.42 16 44 H 0.07 1.42 6.62 -51.93 -0.34 1.08 16 45 H 0.03 0.43 6.86 -51.92 -0.36 0.07 16 46 H 0.02 0.44 7.20 -51.93 -0.37 0.07 16 47 H 0.01 0.33 7.57 -51.93 -0.39 -0.06 16 48 H 0.26 7.50 8.31 -40.82 -0.34 7.16 16 49 H 0.08 0.52 7.83 -51.93 -0.41 0.11 16 50 H 0.08 0.68 6.87 -51.93 -0.36 0.32 16 51 H 0.06 0.24 6.68 -51.93 -0.35 -0.11 16 52 H 0.06 0.30 8.14 -51.93 -0.42 -0.12 16 53 H 0.06 0.30 6.89 -51.93 -0.36 -0.06 16 LS Contribution 405.29 15.07 6.11 6.11 Total: -1.00 -34.72 405.29 -7.54 -42.27 By element: Atomic # 1 Polarization: 10.41 SS G_CDS: -8.94 Total: 1.47 kcal Atomic # 6 Polarization: 1.79 SS G_CDS: 0.68 Total: 2.47 kcal Atomic # 7 Polarization: -46.31 SS G_CDS: -0.13 Total: -46.44 kcal Atomic # 8 Polarization: -22.31 SS G_CDS: -0.60 Total: -22.91 kcal Atomic # 14 Polarization: 21.69 SS G_CDS: -4.67 Total: 17.02 kcal Total LS contribution 6.11 Total: 6.11 kcal Total: -34.72 -7.54 -42.27 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. ZINC000602319196.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 -77.544 kcal (2) G-P(sol) polarization free energy of solvation -34.724 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -112.268 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -7.543 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.267 kcal (6) G-S(sol) free energy of system = (1) + (5) -119.811 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.06 seconds