Wall clock time and date at job start Sat Apr 11 2020 06:11:16 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 1.52996 * 1 3 3 C 1.52998 * 109.47343 * 2 1 4 4 C 1.50705 * 109.46864 * 239.99944 * 2 1 3 5 5 H 1.08004 * 119.99738 * 239.99849 * 4 2 1 6 6 C 1.37879 * 119.99905 * 60.00246 * 4 2 1 7 7 N 1.31511 * 120.00107 * 359.97438 * 6 4 2 8 8 Si 1.86804 * 119.99670 * 179.97438 * 6 4 2 9 9 H 1.48497 * 109.47201 * 59.99967 * 8 6 4 10 10 H 1.48495 * 109.46708 * 179.97438 * 8 6 4 11 11 H 1.48501 * 109.46955 * 299.99594 * 8 6 4 12 12 C 1.53000 * 109.47264 * 120.00366 * 2 1 3 13 13 N 1.46505 * 109.46608 * 299.99545 * 12 2 1 14 14 C 1.34779 * 119.99770 * 180.02562 * 13 12 2 15 15 O 1.21350 * 120.00003 * 0.02562 * 14 13 12 16 16 C 1.49450 * 120.00179 * 180.02562 * 14 13 12 17 17 O 1.21354 * 119.99669 * 359.97438 * 16 14 13 18 18 N 1.34767 * 120.00454 * 180.02562 * 16 14 13 19 19 C 1.46496 * 120.00576 * 179.97438 * 18 16 14 20 20 C 1.52996 * 109.47617 * 179.97438 * 19 18 16 21 21 C 1.52995 * 109.47436 * 179.97438 * 20 19 18 22 22 C 1.52996 * 109.47436 * 179.97438 * 21 20 19 23 23 H 1.09001 * 109.48722 * 54.97527 * 22 21 20 24 24 C 1.53096 * 109.48342 * 175.00446 * 22 21 20 25 25 C 1.53177 * 109.16164 * 177.59301 * 24 22 21 26 26 C 1.53168 * 109.03858 * 303.01870 * 25 24 22 27 27 C 1.53090 * 109.16383 * 56.98247 * 26 25 24 28 28 O 1.42897 * 109.41529 * 302.38908 * 27 26 25 29 29 H 1.09000 * 109.46845 * 300.00262 * 1 2 3 30 30 H 1.09001 * 109.47319 * 59.99661 * 1 2 3 31 31 H 1.09000 * 109.47357 * 180.02562 * 1 2 3 32 32 H 1.08998 * 109.47615 * 180.02562 * 3 2 1 33 33 H 1.09005 * 109.46899 * 299.99992 * 3 2 1 34 34 H 1.09000 * 109.47364 * 60.00056 * 3 2 1 35 35 H 0.97000 * 120.00080 * 179.97438 * 7 6 4 36 36 H 1.08998 * 109.46854 * 180.02562 * 12 2 1 37 37 H 1.08991 * 109.47315 * 59.99650 * 12 2 1 38 38 H 0.96994 * 120.00078 * 359.97438 * 13 12 2 39 39 H 0.97007 * 119.99604 * 359.97438 * 18 16 14 40 40 H 1.09001 * 109.46895 * 59.99404 * 19 18 16 41 41 H 1.09000 * 109.46720 * 299.99884 * 19 18 16 42 42 H 1.09006 * 109.46790 * 60.00237 * 20 19 18 43 43 H 1.09000 * 109.47301 * 299.99921 * 20 19 18 44 44 H 1.09006 * 109.46598 * 60.00535 * 21 20 19 45 45 H 1.08996 * 109.47846 * 300.00412 * 21 20 19 46 46 H 1.09003 * 109.51917 * 297.49784 * 24 22 21 47 47 H 1.08996 * 109.52172 * 57.68889 * 24 22 21 48 48 H 1.09002 * 109.54233 * 62.88942 * 25 24 22 49 49 H 1.09003 * 109.54232 * 183.05959 * 25 24 22 50 50 H 1.09002 * 109.52573 * 176.88941 * 26 25 24 51 51 H 1.09007 * 109.52168 * 297.07622 * 26 25 24 52 52 H 1.09002 * 109.48158 * 62.37494 * 27 26 25 53 53 H 1.09005 * 109.48166 * 182.39603 * 27 26 25 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 6 2.0400 1.4425 0.0000 4 6 2.0322 -0.7105 -1.2305 5 1 2.6532 -1.5886 -1.1314 6 6 1.6991 -0.2394 -2.4828 7 7 0.9427 0.8297 -2.6034 8 14 2.3224 -1.1196 -4.0080 9 1 1.8279 -2.5198 -4.0082 10 1 1.8268 -0.4200 -5.2204 11 1 3.8074 -1.1190 -4.0078 12 6 2.0400 -0.7213 1.2492 13 7 1.5517 -0.0306 2.4454 14 6 1.8777 -0.4908 3.6695 15 8 2.5761 -1.4769 3.7808 16 6 1.3792 0.2134 4.8898 17 8 0.6812 1.1998 4.7784 18 7 1.7056 -0.2464 6.1138 19 6 1.2174 0.4441 7.3100 20 6 1.7279 -0.2767 8.5592 21 6 1.2185 0.4449 9.8085 22 6 1.7285 -0.2763 11.0577 23 1 2.8147 -0.3555 11.0139 24 6 1.3241 0.5145 12.3047 25 6 1.7856 -0.2443 13.5527 26 6 1.1798 -1.6510 13.5348 27 6 1.5898 -2.3581 12.2403 28 8 1.1573 -1.5848 11.1192 29 1 -0.3633 0.5139 0.8900 30 1 -0.3634 0.5139 -0.8900 31 1 -0.3634 -1.0277 0.0005 32 1 3.1300 1.4425 -0.0005 33 1 1.6767 1.9563 -0.8900 34 1 1.6767 1.9563 0.8900 35 1 0.7087 1.1613 -3.4844 36 1 3.1300 -0.7209 1.2493 37 1 1.6767 -1.7489 1.2492 38 1 0.9944 0.7582 2.3564 39 1 2.2639 -1.0347 6.2028 40 1 0.1274 0.4435 7.3104 41 1 1.5801 1.4720 7.3095 42 1 2.8179 -0.2763 8.5590 43 1 1.3649 -1.3045 8.5595 44 1 0.1284 0.4448 9.8089 45 1 1.5817 1.4726 9.8081 46 1 1.7947 1.4974 12.2811 47 1 0.2404 0.6289 12.3279 48 1 2.8733 -0.3156 13.5547 49 1 1.4534 0.2859 14.4454 50 1 1.5472 -2.2168 14.3910 51 1 0.0931 -1.5802 13.5828 52 1 2.6742 -2.4646 12.2120 53 1 1.1266 -3.3441 12.2024 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 ZINC000422390835.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:11:16 Heat of formation + Delta-G solvation = -149.527397 kcal Electronic energy + Delta-G solvation = -29208.965187 eV Core-core repulsion = 25079.518934 eV Total energy + Delta-G solvation = -4129.446253 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.64 seconds Orbital eigenvalues (eV) -40.36736 -39.90326 -38.37321 -36.48141 -36.13074 -34.09197 -33.93479 -33.19049 -30.87164 -30.85703 -27.49552 -26.10942 -25.70518 -25.27366 -24.73993 -23.53912 -22.29562 -21.65999 -20.68190 -20.02603 -18.95499 -18.14726 -16.99554 -16.70241 -16.44669 -15.97523 -15.86166 -15.37881 -15.11512 -15.05824 -14.88343 -14.84012 -14.44612 -14.11013 -13.89356 -13.48010 -13.26323 -13.00274 -12.91397 -12.85064 -12.49480 -12.25633 -12.19832 -11.89047 -11.63798 -11.56609 -11.40235 -11.37944 -11.15954 -11.13151 -11.10372 -10.84951 -10.72933 -10.68659 -10.38092 -10.18843 -9.85501 -9.63479 -9.51916 -9.27634 -9.19515 -8.79443 -8.57723 -8.35368 -6.01079 -4.11941 1.69834 2.62002 3.30796 3.33903 3.35410 3.38510 3.51576 3.93458 4.15923 4.30464 4.36847 4.40427 4.45401 4.56722 4.62744 4.78144 4.84172 4.90587 4.97253 5.03776 5.18894 5.23922 5.25406 5.27287 5.33692 5.37891 5.47199 5.51480 5.54644 5.64380 5.76415 5.86491 5.91942 6.13349 6.20201 6.25501 6.48841 6.65543 6.82934 6.84754 6.87005 6.96043 7.02150 7.15072 7.35085 7.56739 7.68843 7.74998 8.00646 8.01611 8.14524 8.34698 8.43601 8.87938 9.53796 11.00273 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.037818 B = 0.001492 C = 0.001461 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 740.214986 B =18764.906025 C =19163.527712 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.133 4.133 2 C 0.055 3.945 3 C -0.133 4.133 4 C -0.508 4.508 5 H 0.058 0.942 6 C 0.067 3.933 7 N -0.884 5.884 8 Si 0.895 3.105 9 H -0.277 1.277 10 H -0.288 1.288 11 H -0.277 1.277 12 C 0.128 3.872 13 N -0.681 5.681 14 C 0.495 3.505 15 O -0.536 6.536 16 C 0.507 3.493 17 O -0.522 6.522 18 N -0.706 5.706 19 C 0.117 3.883 20 C -0.130 4.130 21 C -0.108 4.108 22 C 0.090 3.910 23 H 0.059 0.941 24 C -0.152 4.152 25 C -0.123 4.123 26 C -0.158 4.158 27 C 0.061 3.939 28 O -0.376 6.376 29 H 0.008 0.992 30 H 0.087 0.913 31 H 0.027 0.973 32 H 0.027 0.973 33 H 0.087 0.913 34 H 0.008 0.992 35 H 0.261 0.739 36 H 0.061 0.939 37 H 0.062 0.938 38 H 0.411 0.589 39 H 0.412 0.588 40 H 0.072 0.928 41 H 0.070 0.930 42 H 0.069 0.931 43 H 0.080 0.920 44 H 0.076 0.924 45 H 0.081 0.919 46 H 0.074 0.926 47 H 0.072 0.928 48 H 0.063 0.937 49 H 0.067 0.933 50 H 0.072 0.928 51 H 0.071 0.929 52 H 0.049 0.951 53 H 0.093 0.907 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.926 -0.819 31.111 31.136 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 -0.191 4.191 2 C 0.054 3.946 3 C -0.191 4.191 4 C -0.546 4.546 5 H 0.076 0.924 6 C -0.135 4.135 7 N -0.523 5.523 8 Si 0.723 3.277 9 H -0.203 1.203 10 H -0.213 1.213 11 H -0.203 1.203 12 C 0.006 3.994 13 N -0.332 5.332 14 C 0.275 3.725 15 O -0.415 6.415 16 C 0.288 3.712 17 O -0.397 6.397 18 N -0.360 5.360 19 C -0.006 4.006 20 C -0.168 4.168 21 C -0.146 4.146 22 C 0.033 3.967 23 H 0.077 0.923 24 C -0.189 4.189 25 C -0.161 4.161 26 C -0.195 4.195 27 C -0.016 4.016 28 O -0.295 6.295 29 H 0.027 0.973 30 H 0.105 0.895 31 H 0.046 0.954 32 H 0.046 0.954 33 H 0.105 0.895 34 H 0.027 0.973 35 H 0.071 0.929 36 H 0.080 0.920 37 H 0.080 0.920 38 H 0.248 0.752 39 H 0.249 0.751 40 H 0.090 0.910 41 H 0.089 0.911 42 H 0.088 0.912 43 H 0.099 0.901 44 H 0.095 0.905 45 H 0.099 0.901 46 H 0.092 0.908 47 H 0.091 0.909 48 H 0.081 0.919 49 H 0.085 0.915 50 H 0.090 0.910 51 H 0.090 0.910 52 H 0.067 0.933 53 H 0.111 0.889 Dipole moment (debyes) X Y Z Total from point charges 0.694 -0.741 30.782 30.799 hybrid contribution 0.519 -0.372 -0.502 0.812 sum 1.212 -1.113 30.281 30.325 Atomic orbital electron populations 1.21849 0.97556 0.99276 1.00380 1.18391 0.93018 0.92892 0.90287 1.21848 0.98597 0.98234 1.00376 1.20911 1.31744 1.12188 0.89782 0.92412 1.24879 0.94820 0.94911 0.98844 1.69797 1.36419 1.22651 1.23386 0.86617 0.79199 0.79763 0.82162 1.20287 1.21329 1.20288 1.21939 0.98526 0.96038 0.82868 1.46225 1.50437 1.31383 1.05171 1.19980 0.82373 0.85212 0.84957 1.90720 1.37942 1.26011 1.86797 1.20475 0.81045 0.84693 0.85029 1.90752 1.36586 1.25478 1.86889 1.45753 1.53015 1.32359 1.04883 1.21463 0.99795 0.96440 0.82911 1.21764 1.01368 1.00899 0.92771 1.21522 1.02302 0.98737 0.92053 1.22123 0.96895 0.83238 0.94476 0.92326 1.22222 1.02491 0.99363 0.94862 1.21588 1.00569 0.95789 0.98156 1.22198 1.01948 0.96771 0.98608 1.22553 0.98944 0.94732 0.85391 1.87960 1.69746 1.25983 1.45847 0.97272 0.89451 0.95354 0.95363 0.89460 0.97269 0.92893 0.92020 0.92004 0.75191 0.75141 0.90998 0.91121 0.91189 0.90124 0.90521 0.90070 0.90782 0.90886 0.91863 0.91470 0.90973 0.91021 0.93274 0.88858 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 -0.13 -3.07 8.08 37.16 0.30 -2.77 16 2 C 0.05 1.29 0.50 -155.66 -0.08 1.21 16 3 C -0.13 -3.06 8.08 37.16 0.30 -2.76 16 4 C -0.51 -13.24 8.01 -34.44 -0.28 -13.51 16 5 H 0.06 1.50 7.74 -52.48 -0.41 1.10 16 6 C 0.07 1.76 5.15 -17.82 -0.09 1.67 16 7 N -0.88 -23.66 9.35 55.43 0.52 -23.14 16 8 Si 0.89 20.67 29.54 -169.99 -5.02 15.65 16 9 H -0.28 -6.40 7.11 56.52 0.40 -6.00 16 10 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 11 H -0.28 -6.40 7.11 56.52 0.40 -5.99 16 12 C 0.13 2.72 4.50 -4.04 -0.02 2.70 16 13 N -0.68 -12.90 4.95 -60.73 -0.30 -13.20 16 14 C 0.50 8.88 7.89 -11.58 -0.09 8.79 16 15 O -0.54 -10.44 16.48 5.50 0.09 -10.35 16 16 C 0.51 7.97 7.89 -11.59 -0.09 7.88 16 17 O -0.52 -9.24 16.48 5.49 0.09 -9.15 16 18 N -0.71 -8.50 5.55 -60.74 -0.34 -8.84 16 19 C 0.12 1.11 5.67 -4.05 -0.02 1.09 16 20 C -0.13 -0.94 5.23 -26.74 -0.14 -1.08 16 21 C -0.11 -0.67 4.92 -26.74 -0.13 -0.80 16 22 C 0.09 0.58 2.64 -26.68 -0.07 0.50 16 23 H 0.06 0.36 8.14 -51.93 -0.42 -0.07 16 24 C -0.15 -0.80 5.42 -26.59 -0.14 -0.95 16 25 C -0.12 -0.59 6.03 -26.55 -0.16 -0.75 16 26 C -0.16 -0.78 6.14 -26.60 -0.16 -0.94 16 27 C 0.06 0.36 6.84 37.20 0.25 0.61 16 28 O -0.38 -3.05 9.94 -35.23 -0.35 -3.40 16 29 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 30 H 0.09 2.22 6.07 -51.93 -0.32 1.90 16 31 H 0.03 0.64 8.14 -51.93 -0.42 0.21 16 32 H 0.03 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.09 2.21 6.07 -51.93 -0.32 1.90 16 34 H 0.01 0.18 6.86 -51.93 -0.36 -0.18 16 35 H 0.26 6.76 8.31 -40.82 -0.34 6.42 16 36 H 0.06 1.34 8.14 -51.93 -0.42 0.91 16 37 H 0.06 1.34 8.14 -51.93 -0.42 0.92 16 38 H 0.41 7.67 5.63 -40.82 -0.23 7.44 16 39 H 0.41 4.50 7.95 -40.82 -0.32 4.18 16 40 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 41 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 42 H 0.07 0.47 8.14 -51.93 -0.42 0.04 16 43 H 0.08 0.65 7.82 -51.93 -0.41 0.24 16 44 H 0.08 0.51 8.14 -51.93 -0.42 0.08 16 45 H 0.08 0.40 8.14 -51.93 -0.42 -0.02 16 46 H 0.07 0.32 8.14 -51.93 -0.42 -0.10 16 47 H 0.07 0.42 8.14 -51.93 -0.42 0.00 16 48 H 0.06 0.29 8.14 -51.93 -0.42 -0.14 16 49 H 0.07 0.28 8.14 -51.93 -0.42 -0.14 16 50 H 0.07 0.27 8.14 -51.93 -0.42 -0.15 16 51 H 0.07 0.39 8.14 -51.93 -0.42 -0.03 16 52 H 0.05 0.26 8.14 -51.93 -0.42 -0.16 16 53 H 0.09 0.48 8.14 -51.93 -0.42 0.05 16 LS Contribution 416.48 15.07 6.28 6.28 Total: -1.00 -29.35 416.48 -9.11 -38.47 By element: Atomic # 1 Polarization: 16.24 SS G_CDS: -9.45 Total: 6.78 kcal Atomic # 6 Polarization: 1.52 SS G_CDS: -0.62 Total: 0.90 kcal Atomic # 7 Polarization: -45.05 SS G_CDS: -0.12 Total: -45.17 kcal Atomic # 8 Polarization: -22.73 SS G_CDS: -0.17 Total: -22.90 kcal Atomic # 14 Polarization: 20.67 SS G_CDS: -5.02 Total: 15.65 kcal Total LS contribution 6.28 Total: 6.28 kcal Total: -29.35 -9.11 -38.47 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. ZINC000422390835.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 -111.061 kcal (2) G-P(sol) polarization free energy of solvation -29.353 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -140.415 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.113 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.466 kcal (6) G-S(sol) free energy of system = (1) + (5) -149.527 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.64 seconds