Wall clock time and date at job start Sat Apr 11 2020 06:09:45 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 1.31000 * 1 3 3 C 1.50703 * 120.00196 * 2 1 4 4 C 1.52995 * 109.47073 * 126.05614 * 3 2 1 5 5 C 1.53004 * 109.46817 * 6.05669 * 3 2 1 6 6 C 1.52995 * 109.46603 * 174.03487 * 5 3 2 7 7 O 1.42898 * 109.47011 * 174.85993 * 6 5 3 8 8 C 1.42905 * 114.00240 * 180.02562 * 7 6 5 9 9 C 1.50701 * 109.46931 * 246.05840 * 3 2 1 10 10 O 1.21281 * 119.99689 * 119.99725 * 9 3 2 11 11 N 1.34774 * 119.99651 * 299.99996 * 9 3 2 12 12 C 1.46506 * 119.99555 * 180.02562 * 11 9 3 13 13 C 1.52994 * 109.47085 * 185.24936 * 12 11 9 14 14 N 1.46502 * 109.54252 * 297.58197 * 13 12 11 15 15 C 1.36935 * 120.00424 * 303.66579 * 14 13 12 16 16 H 1.08000 * 119.99521 * 4.88378 * 15 14 13 17 17 C 1.38813 * 120.00120 * 184.88049 * 15 14 13 18 18 N 1.31616 * 120.00007 * 0.02562 * 17 15 14 19 19 Si 1.86804 * 119.99699 * 180.02562 * 17 15 14 20 20 H 1.48495 * 109.47166 * 359.97438 * 19 17 15 21 21 H 1.48498 * 109.47209 * 120.00203 * 19 17 15 22 22 H 1.48506 * 109.46652 * 240.00111 * 19 17 15 23 23 C 1.53178 * 109.54198 * 177.41084 * 13 12 11 24 24 C 1.53110 * 109.15543 * 183.23814 * 23 13 12 25 25 O 1.42902 * 109.48439 * 57.47734 * 24 23 13 26 26 C 1.42908 * 114.09710 * 298.88484 * 25 24 23 27 27 C 1.53089 * 109.41525 * 61.16108 * 26 25 24 28 28 H 1.07997 * 119.99728 * 354.89502 * 1 2 3 29 29 H 1.08005 * 120.00218 * 174.89540 * 1 2 3 30 30 H 1.08005 * 119.99914 * 180.27049 * 2 1 3 31 31 H 1.09007 * 109.46826 * 60.00110 * 4 3 2 32 32 H 1.08999 * 109.47338 * 179.97438 * 4 3 2 33 33 H 1.08999 * 109.47322 * 300.00504 * 4 3 2 34 34 H 1.08990 * 109.47301 * 294.03629 * 5 3 2 35 35 H 1.08999 * 109.46854 * 54.04035 * 5 3 2 36 36 H 1.09006 * 109.47768 * 294.85781 * 6 5 3 37 37 H 1.08997 * 109.47585 * 54.86347 * 6 5 3 38 38 H 1.08998 * 109.47052 * 59.99638 * 8 7 6 39 39 H 1.08999 * 109.47127 * 179.97438 * 8 7 6 40 40 H 1.08999 * 109.46852 * 299.99461 * 8 7 6 41 41 H 0.96993 * 120.00610 * 359.97438 * 11 9 3 42 42 H 1.08999 * 109.46916 * 305.24966 * 12 11 9 43 43 H 1.09004 * 109.46769 * 65.24519 * 12 11 9 44 44 H 0.97005 * 119.99875 * 123.66088 * 14 13 12 45 45 H 0.97001 * 119.99586 * 180.02562 * 18 17 15 46 46 H 1.09001 * 109.52203 * 303.05452 * 23 13 12 47 47 H 1.08998 * 109.52825 * 63.24657 * 23 13 12 48 48 H 1.08992 * 109.40655 * 297.48984 * 24 23 13 49 49 H 1.09000 * 109.49344 * 177.50579 * 24 23 13 50 50 H 1.09011 * 109.47794 * 301.17817 * 26 25 24 51 51 H 1.08993 * 109.49377 * 181.15223 * 26 25 24 52 52 H 1.08999 * 109.52649 * 182.48965 * 27 26 25 53 53 H 1.08995 * 109.57254 * 62.32642 * 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 1.3100 0.0000 0.0000 3 6 2.0636 1.3051 0.0000 4 6 3.0538 1.3222 1.1661 5 6 1.0762 2.4640 0.1522 6 6 1.8491 3.7759 0.3015 7 8 0.9303 4.8701 0.3235 8 6 1.5528 6.1492 0.4599 9 6 2.8140 1.4518 -1.2986 10 8 2.5821 2.3908 -2.0303 11 7 3.7429 0.5394 -1.6468 12 6 4.4729 0.6823 -2.9090 13 6 5.3642 -0.5424 -3.1241 14 7 6.3565 -0.6213 -2.0492 15 6 7.1950 0.4351 -1.8125 16 1 7.0733 1.3553 -2.3646 17 6 8.2013 0.3233 -0.8628 18 7 8.3497 -0.7983 -0.1903 19 14 9.3446 1.7647 -0.5395 20 1 8.9709 2.9003 -1.4203 21 1 9.2277 2.1803 0.8814 22 1 10.7448 1.3590 -0.8230 23 6 6.0791 -0.4251 -4.4737 24 6 6.9050 -1.6913 -4.7165 25 8 6.0491 -2.8348 -4.6703 26 6 5.3918 -3.0212 -3.4151 27 6 4.5035 -1.8095 -3.1210 28 1 -0.5399 0.9316 0.0832 29 1 -0.5401 -0.9316 -0.0832 30 1 1.8500 -0.9354 -0.0044 31 1 3.7571 0.4965 1.0577 32 1 3.5992 2.2660 1.1659 33 1 2.5110 1.2160 2.1054 34 1 0.4386 2.5163 -0.7301 35 1 0.4601 2.3026 1.0368 36 1 2.4167 3.7595 1.2320 37 1 2.5329 3.8926 -0.5392 38 1 2.2302 6.3148 -0.3778 39 1 0.7884 6.9263 0.4678 40 1 2.1144 6.1822 1.3935 41 1 3.9287 -0.2114 -1.0615 42 1 3.7629 0.7642 -3.7320 43 1 5.0909 1.5795 -2.8717 44 1 6.4194 -1.4219 -1.5051 45 1 9.0527 -0.8762 0.4736 46 1 5.3413 -0.3150 -5.2684 47 1 6.7369 0.4439 -4.4632 48 1 7.6699 -1.7783 -3.9450 49 1 7.3810 -1.6330 -5.6953 50 1 6.1370 -3.1256 -2.6264 51 1 4.7776 -3.9207 -3.4562 52 1 4.0355 -1.9295 -2.1439 53 1 3.7322 -1.7278 -3.8868 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 ZINC001484183653.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 06:09:45 Heat of formation + Delta-G solvation = -102.406276 kcal Electronic energy + Delta-G solvation = -32320.331609 eV Core-core repulsion = 28192.928681 eV Total energy + Delta-G solvation = -4127.402928 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.86 seconds Orbital eigenvalues (eV) -40.33589 -39.23131 -37.71298 -36.33879 -35.71352 -33.55904 -32.20483 -31.49141 -30.67045 -29.27697 -29.18757 -26.87583 -26.29290 -24.60026 -24.10082 -23.11972 -22.60905 -21.75734 -20.67328 -18.92101 -18.37608 -17.31446 -16.82954 -16.57469 -15.85993 -15.73234 -15.60968 -15.40880 -15.34365 -14.74564 -14.43866 -14.35447 -14.25376 -13.91998 -13.79901 -13.75265 -13.42016 -12.92497 -12.72203 -12.40544 -12.19028 -12.10526 -11.96272 -11.80982 -11.68692 -11.59001 -11.44059 -11.16490 -10.97829 -10.92319 -10.83443 -10.80803 -10.71424 -10.37245 -10.07964 -9.89298 -9.79613 -9.71877 -9.53461 -9.22932 -9.06639 -8.82524 -8.48150 -7.14136 -5.91350 -3.21444 2.11319 3.01645 3.33391 3.41791 3.42166 3.63074 3.76705 4.35033 4.46851 4.59836 4.85399 4.92517 5.11013 5.17476 5.21282 5.23233 5.24973 5.30819 5.33635 5.38435 5.49232 5.51091 5.53424 5.61642 5.61959 5.62152 5.71872 5.74128 5.78666 5.96485 5.97409 6.04923 6.05747 6.09407 6.12934 6.19569 6.28143 6.28610 6.38999 6.48848 6.51932 6.54910 6.64112 6.70119 6.77184 6.97159 7.21021 7.60749 7.68755 7.96911 8.25741 8.61625 9.38802 9.89362 10.26037 11.30409 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009447 B = 0.004129 C = 0.003343 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2963.210044 B = 6780.430278 C = 8373.050662 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.187 4.187 2 C -0.143 4.143 3 C -0.049 4.049 4 C -0.142 4.142 5 C -0.091 4.091 6 C 0.054 3.946 7 O -0.395 6.395 8 C 0.034 3.966 9 C 0.523 3.477 10 O -0.548 6.548 11 N -0.697 5.697 12 C 0.118 3.882 13 C 0.190 3.810 14 N -0.713 5.713 15 C -0.235 4.235 16 H 0.071 0.929 17 C -0.005 4.005 18 N -0.929 5.929 19 Si 0.900 3.100 20 H -0.281 1.281 21 H -0.292 1.292 22 H -0.292 1.292 23 C -0.154 4.154 24 C 0.070 3.930 25 O -0.393 6.393 26 C 0.065 3.935 27 C -0.150 4.150 28 H 0.105 0.895 29 H 0.100 0.900 30 H 0.116 0.884 31 H 0.071 0.929 32 H 0.065 0.935 33 H 0.067 0.933 34 H 0.080 0.920 35 H 0.074 0.926 36 H 0.045 0.955 37 H 0.071 0.929 38 H 0.041 0.959 39 H 0.082 0.918 40 H 0.038 0.962 41 H 0.401 0.599 42 H 0.055 0.945 43 H 0.068 0.932 44 H 0.384 0.616 45 H 0.255 0.745 46 H 0.054 0.946 47 H 0.076 0.924 48 H 0.068 0.932 49 H 0.078 0.922 50 H 0.059 0.941 51 H 0.081 0.919 52 H 0.068 0.932 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -12.793 1.093 0.417 12.847 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 -0.223 4.223 2 C -0.162 4.162 3 C -0.052 4.052 4 C -0.200 4.200 5 C -0.129 4.129 6 C -0.022 4.022 7 O -0.314 6.314 8 C -0.063 4.063 9 C 0.308 3.692 10 O -0.427 6.427 11 N -0.347 5.347 12 C -0.008 4.008 13 C 0.098 3.902 14 N -0.355 5.355 15 C -0.366 4.366 16 H 0.088 0.912 17 C -0.202 4.202 18 N -0.577 5.577 19 Si 0.731 3.269 20 H -0.206 1.206 21 H -0.220 1.220 22 H -0.219 1.219 23 C -0.195 4.195 24 C -0.007 4.007 25 O -0.312 6.312 26 C -0.012 4.012 27 C -0.188 4.188 28 H 0.124 0.876 29 H 0.118 0.882 30 H 0.134 0.866 31 H 0.090 0.910 32 H 0.084 0.916 33 H 0.086 0.914 34 H 0.099 0.901 35 H 0.093 0.907 36 H 0.063 0.937 37 H 0.089 0.911 38 H 0.060 0.940 39 H 0.100 0.900 40 H 0.056 0.944 41 H 0.237 0.763 42 H 0.073 0.927 43 H 0.086 0.914 44 H 0.219 0.781 45 H 0.065 0.935 46 H 0.073 0.927 47 H 0.095 0.905 48 H 0.086 0.914 49 H 0.096 0.904 50 H 0.077 0.923 51 H 0.100 0.900 52 H 0.086 0.914 53 H 0.088 0.912 Dipole moment (debyes) X Y Z Total from point charges -13.036 1.752 -0.281 13.156 hybrid contribution 1.299 0.511 1.025 1.732 sum -11.737 2.263 0.744 11.976 Atomic orbital electron populations 1.24032 0.95955 1.02454 0.99881 1.22706 0.95988 0.96501 1.00959 1.19847 0.96016 0.94748 0.94584 1.21907 0.98193 1.03600 0.96272 1.21344 0.97325 0.91140 1.03066 1.22821 0.92393 0.86110 1.00921 1.87789 1.34216 1.14532 1.94842 1.22685 0.98496 0.85325 0.99812 1.20187 0.79915 0.82280 0.86854 1.90647 1.66937 1.31884 1.53189 1.45768 1.38246 1.27606 1.23066 1.21813 0.94012 1.00483 0.84476 1.19811 0.89220 0.91449 0.89731 1.42502 1.38570 1.18853 1.35623 1.19105 1.07378 0.92937 1.17202 0.91150 1.24670 0.99017 0.96907 0.99560 1.69649 1.35102 1.24951 1.27965 0.86236 0.81037 0.81975 0.77649 1.20603 1.21960 1.21865 1.22494 1.00060 0.99379 0.97542 1.22449 0.92422 0.84360 1.01444 1.87802 1.62159 1.47017 1.34199 1.22465 0.95240 0.96672 0.86777 1.22331 0.98617 0.96052 1.01817 0.87641 0.88152 0.86581 0.91029 0.91618 0.91448 0.90111 0.90713 0.93665 0.91092 0.94016 0.89972 0.94352 0.76287 0.92705 0.91382 0.78056 0.93526 0.92701 0.90500 0.91385 0.90360 0.92264 0.90041 0.91374 0.91231 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.19 -1.86 13.71 29.01 0.40 -1.47 16 2 C -0.14 -1.60 8.54 -36.02 -0.31 -1.91 16 3 C -0.05 -0.63 0.62 -156.81 -0.10 -0.73 16 4 C -0.14 -1.79 7.84 37.16 0.29 -1.50 16 5 C -0.09 -1.19 2.95 -26.73 -0.08 -1.27 16 6 C 0.05 0.76 5.03 37.15 0.19 0.95 16 7 O -0.39 -5.68 10.70 -35.23 -0.38 -6.06 16 8 C 0.03 0.38 11.01 101.05 1.11 1.49 16 9 C 0.52 8.52 6.15 -10.99 -0.07 8.46 16 10 O -0.55 -10.62 14.04 5.56 0.08 -10.54 16 11 N -0.70 -11.21 4.90 -60.29 -0.30 -11.50 16 12 C 0.12 2.06 4.44 -4.04 -0.02 2.04 16 13 C 0.19 3.26 0.41 -131.64 -0.05 3.20 16 14 N -0.71 -14.81 4.03 -47.06 -0.19 -15.00 16 15 C -0.24 -5.68 8.65 -15.06 -0.13 -5.81 16 16 H 0.07 1.73 6.68 -52.49 -0.35 1.38 16 17 C -0.01 -0.13 5.50 -17.43 -0.10 -0.23 16 18 N -0.93 -25.34 13.06 55.49 0.72 -24.61 16 19 Si 0.90 21.19 29.55 -169.99 -5.02 16.16 16 20 H -0.28 -6.54 7.11 56.52 0.40 -6.13 16 21 H -0.29 -7.02 7.11 56.52 0.40 -6.62 16 22 H -0.29 -7.00 7.11 56.52 0.40 -6.59 16 23 C -0.15 -2.61 4.87 -26.58 -0.13 -2.74 16 24 C 0.07 1.19 6.68 37.21 0.25 1.44 16 25 O -0.39 -6.70 10.77 -35.23 -0.38 -7.08 16 26 C 0.07 1.00 6.67 37.20 0.25 1.25 16 27 C -0.15 -2.21 4.73 -26.59 -0.13 -2.34 16 28 H 0.11 1.04 5.72 -52.49 -0.30 0.74 16 29 H 0.10 0.84 8.06 -52.48 -0.42 0.42 16 30 H 0.12 1.19 8.06 -52.48 -0.42 0.77 16 31 H 0.07 0.95 7.56 -51.93 -0.39 0.55 16 32 H 0.06 0.88 6.45 -51.93 -0.34 0.55 16 33 H 0.07 0.72 8.14 -51.93 -0.42 0.30 16 34 H 0.08 1.16 7.45 -51.93 -0.39 0.77 16 35 H 0.07 0.85 7.34 -51.93 -0.38 0.47 16 36 H 0.05 0.59 6.65 -51.93 -0.35 0.24 16 37 H 0.07 1.18 5.97 -51.93 -0.31 0.87 16 38 H 0.04 0.47 8.14 -51.93 -0.42 0.05 16 39 H 0.08 0.75 8.14 -51.93 -0.42 0.33 16 40 H 0.04 0.38 8.14 -51.93 -0.42 -0.04 16 41 H 0.40 6.16 6.53 -40.82 -0.27 5.89 16 42 H 0.05 0.94 8.13 -51.93 -0.42 0.51 16 43 H 0.07 1.37 6.91 -51.93 -0.36 1.01 16 44 H 0.38 8.60 6.63 -40.82 -0.27 8.33 16 45 H 0.25 6.89 8.31 -40.82 -0.34 6.55 16 46 H 0.05 0.85 8.14 -51.93 -0.42 0.43 16 47 H 0.08 1.39 7.52 -51.93 -0.39 1.00 16 48 H 0.07 1.34 7.75 -51.93 -0.40 0.94 16 49 H 0.08 1.19 8.14 -51.93 -0.42 0.76 16 50 H 0.06 1.01 7.03 -51.92 -0.36 0.64 16 51 H 0.08 1.05 8.14 -51.93 -0.42 0.63 16 52 H 0.07 0.93 6.95 -51.93 -0.36 0.57 16 53 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 LS Contribution 407.00 15.07 6.13 6.13 Total: -1.00 -28.83 407.00 -6.95 -35.78 By element: Atomic # 1 Polarization: 24.88 SS G_CDS: -9.00 Total: 15.88 kcal Atomic # 6 Polarization: -0.55 SS G_CDS: 1.38 Total: 0.83 kcal Atomic # 7 Polarization: -51.35 SS G_CDS: 0.24 Total: -51.11 kcal Atomic # 8 Polarization: -23.00 SS G_CDS: -0.68 Total: -23.68 kcal Atomic # 14 Polarization: 21.19 SS G_CDS: -5.02 Total: 16.16 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -28.83 -6.95 -35.78 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. ZINC001484183653.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 -66.626 kcal (2) G-P(sol) polarization free energy of solvation -28.830 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -95.456 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -6.950 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -35.780 kcal (6) G-S(sol) free energy of system = (1) + (5) -102.406 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.86 seconds