Wall clock time and date at job start Sat Apr 11 2020 06:11:22 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 1.52994 * 1 3 3 C 1.53003 * 109.47309 * 2 1 4 4 O 1.42896 * 109.47437 * 120.00319 * 2 1 3 5 5 C 1.42901 * 114.00382 * 149.99807 * 4 2 1 6 6 C 1.52995 * 109.47025 * 179.97438 * 5 4 2 7 7 C 1.53004 * 109.46838 * 179.97438 * 6 5 4 8 8 C 1.50704 * 109.47118 * 179.97438 * 7 6 5 9 9 O 1.21280 * 119.99784 * 0.02562 * 8 7 6 10 10 N 1.34774 * 119.99919 * 179.97438 * 8 7 6 11 11 C 1.47081 * 125.63277 * 0.04992 * 10 8 7 12 12 C 1.54466 * 107.29846 * 180.95714 * 11 10 8 13 13 C 1.54356 * 102.88004 * 21.49344 * 12 11 10 14 14 C 1.47568 * 125.62818 * 180.02562 * 10 8 7 15 15 C 1.52356 * 110.41910 * 207.65324 * 13 12 11 16 16 N 1.47323 * 108.46449 * 286.29243 * 15 13 12 17 17 C 1.36943 * 121.07683 * 130.84425 * 16 15 13 18 18 H 1.07998 * 119.99631 * 205.67039 * 17 16 15 19 19 C 1.38813 * 119.99783 * 25.66746 * 17 16 15 20 20 N 1.31618 * 120.00207 * 16.72045 * 19 17 16 21 21 Si 1.86800 * 119.99505 * 196.71408 * 19 17 16 22 22 H 1.48497 * 109.47460 * 359.97438 * 21 19 17 23 23 H 1.48501 * 109.47192 * 120.00381 * 21 19 17 24 24 H 1.48499 * 109.47109 * 240.00106 * 21 19 17 25 25 C 1.47174 * 117.84653 * 310.85841 * 16 15 13 26 26 C 1.53282 * 108.51424 * 51.31692 * 25 16 15 27 27 O 1.41874 * 110.76119 * 83.66236 * 13 12 11 28 28 H 1.09003 * 109.46929 * 299.99968 * 1 2 3 29 29 H 1.08998 * 109.47421 * 59.99871 * 1 2 3 30 30 H 1.08997 * 109.47289 * 180.02562 * 1 2 3 31 31 H 1.09003 * 109.46929 * 240.00032 * 2 1 3 32 32 H 1.09000 * 109.47272 * 180.02562 * 3 2 1 33 33 H 1.08998 * 109.46984 * 300.00396 * 3 2 1 34 34 H 1.09003 * 109.47099 * 60.00136 * 3 2 1 35 35 H 1.09005 * 109.46497 * 59.99855 * 5 4 2 36 36 H 1.08998 * 109.46858 * 300.00229 * 5 4 2 37 37 H 1.08995 * 109.47362 * 60.00526 * 6 5 4 38 38 H 1.08998 * 109.47643 * 299.99937 * 6 5 4 39 39 H 1.09007 * 109.46779 * 60.00582 * 7 6 5 40 40 H 1.08995 * 109.47622 * 300.00280 * 7 6 5 41 41 H 1.08995 * 109.87785 * 300.38331 * 11 10 8 42 42 H 1.09001 * 109.87932 * 61.53394 * 11 10 8 43 43 H 1.09000 * 110.73242 * 263.14558 * 12 11 10 44 44 H 1.08997 * 110.72784 * 139.83589 * 12 11 10 45 45 H 1.09001 * 110.38078 * 37.89646 * 14 10 8 46 46 H 1.09008 * 110.47219 * 275.59781 * 14 10 8 47 47 H 1.09001 * 109.64343 * 166.59526 * 15 13 12 48 48 H 1.09004 * 109.63960 * 45.98148 * 15 13 12 49 49 H 0.97006 * 119.99776 * 180.02562 * 20 19 17 50 50 H 1.09003 * 109.62974 * 291.60798 * 25 16 15 51 51 H 1.08993 * 109.79181 * 171.11478 * 25 16 15 52 52 H 1.08994 * 109.51493 * 66.83905 * 26 25 16 53 53 H 1.09002 * 109.51252 * 186.99429 * 26 25 16 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 1.5299 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 8 2.0063 -0.6737 1.1667 5 6 3.2660 -1.3245 0.9885 6 6 3.6760 -2.0081 2.2944 7 6 5.0244 -2.7055 2.1034 8 6 5.4287 -3.3784 3.3899 9 8 4.7089 -3.3075 4.3634 10 7 6.5895 -4.0597 3.4581 11 6 7.5522 -4.2247 2.3585 12 6 8.7120 -5.0953 2.8901 13 6 8.0723 -5.8249 4.0906 14 6 7.1047 -4.7630 4.6487 15 6 9.1335 -6.1768 5.1257 16 7 9.9359 -7.2988 4.6083 17 6 11.3045 -7.2539 4.6210 18 1 11.8704 -7.8341 3.9071 19 6 11.9644 -6.4627 5.5513 20 7 11.3235 -6.0216 6.6128 21 14 13.7623 -6.0242 5.2965 22 1 14.2482 -6.6402 4.0357 23 1 13.9050 -4.5483 5.2141 24 1 14.5631 -6.5359 6.4375 25 6 9.2190 -8.4693 4.0772 26 6 8.1829 -7.9839 3.0573 27 8 7.3643 -6.9765 3.6601 28 1 -0.3633 0.5138 0.8900 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3634 -1.0276 0.0005 31 1 1.8932 -0.5138 -0.8900 32 1 3.1300 1.4425 -0.0005 33 1 1.6766 1.9563 -0.8899 34 1 1.6767 1.9564 0.8900 35 1 4.0199 -0.5873 0.7123 36 1 3.1808 -2.0707 0.1985 37 1 2.9222 -2.7452 2.5709 38 1 3.7613 -1.2617 3.0841 39 1 5.7785 -1.9687 1.8266 40 1 4.9388 -3.4520 1.3138 41 1 7.0712 -4.7221 1.5163 42 1 7.9316 -3.2509 2.0488 43 1 9.5444 -4.4718 3.2165 44 1 9.0368 -5.8093 2.1332 45 1 6.2883 -5.2407 5.1903 46 1 7.6370 -4.0699 5.3003 47 1 8.6522 -6.4701 6.0586 48 1 9.7776 -5.3144 5.2977 49 1 11.7846 -5.4684 7.2627 50 1 8.7153 -8.9905 4.8913 51 1 9.9234 -9.1439 3.5908 52 1 8.6938 -7.5667 2.1896 53 1 7.5589 -8.8215 2.7454 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 ZINC001330170264.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 06:11:22 Heat of formation + Delta-G solvation = -107.751660 kcal Electronic energy + Delta-G solvation = -30618.922512 eV Core-core repulsion = 26491.287791 eV Total energy + Delta-G solvation = -4127.634721 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -40.25888 -38.96972 -38.53220 -36.14957 -34.48987 -34.37662 -32.41259 -31.49250 -31.25072 -29.55023 -27.92712 -27.57973 -26.95152 -25.28837 -23.60035 -22.77194 -21.95077 -21.61804 -21.14625 -19.26055 -18.65764 -17.36813 -17.09442 -16.80446 -16.42940 -15.97927 -15.45917 -15.24573 -15.17509 -14.71069 -14.45296 -14.37850 -14.15595 -13.76161 -13.42001 -13.30472 -13.18334 -12.95038 -12.75875 -12.67683 -12.53813 -12.49818 -12.26309 -12.10524 -11.97207 -11.78092 -11.41977 -11.36737 -11.10926 -11.07563 -10.95857 -10.92959 -10.89692 -10.73120 -10.32510 -10.30049 -9.99448 -9.83131 -9.72662 -9.57019 -9.08653 -8.58974 -8.43356 -6.80182 -5.89422 -3.32107 2.77459 3.00344 3.29464 3.38002 3.39631 3.45868 4.15982 4.38049 4.47252 4.57080 4.64741 4.77277 4.81520 4.85987 4.92354 4.98355 5.10121 5.14131 5.22365 5.24625 5.27359 5.32521 5.36341 5.40465 5.41394 5.46830 5.49478 5.57684 5.70081 5.79259 5.80927 5.83709 5.84040 5.94439 5.98329 6.05478 6.11471 6.14461 6.25445 6.29219 6.42841 6.48506 6.61609 6.75510 6.99276 7.02114 7.39691 7.66751 7.69865 7.90192 8.26674 8.30805 9.05516 9.68623 10.26061 11.18960 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.021430 B = 0.002035 C = 0.001966 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1306.255363 B =13754.912121 C =14239.072772 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.150 4.150 2 C 0.080 3.920 3 C -0.176 4.176 4 O -0.382 6.382 5 C 0.063 3.937 6 C -0.103 4.103 7 C -0.132 4.132 8 C 0.527 3.473 9 O -0.544 6.544 10 N -0.612 5.612 11 C 0.104 3.896 12 C -0.144 4.144 13 C 0.085 3.915 14 C 0.123 3.877 15 C 0.163 3.837 16 N -0.592 5.592 17 C -0.252 4.252 18 H 0.069 0.931 19 C 0.002 3.998 20 N -0.903 5.903 21 Si 0.903 3.097 22 H -0.278 1.278 23 H -0.288 1.288 24 H -0.290 1.290 25 C 0.109 3.891 26 C 0.046 3.954 27 O -0.374 6.374 28 H 0.064 0.936 29 H 0.068 0.932 30 H 0.061 0.939 31 H 0.059 0.941 32 H 0.056 0.944 33 H 0.064 0.936 34 H 0.064 0.936 35 H 0.048 0.952 36 H 0.048 0.952 37 H 0.079 0.921 38 H 0.078 0.922 39 H 0.092 0.908 40 H 0.093 0.907 41 H 0.064 0.936 42 H 0.065 0.935 43 H 0.087 0.913 44 H 0.086 0.914 45 H 0.083 0.917 46 H 0.085 0.915 47 H 0.030 0.970 48 H 0.098 0.902 49 H 0.255 0.745 50 H 0.027 0.973 51 H 0.062 0.938 52 H 0.047 0.953 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.138 9.615 -15.596 23.142 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 -0.208 4.208 2 C 0.022 3.978 3 C -0.233 4.233 4 O -0.301 6.301 5 C -0.013 4.013 6 C -0.141 4.141 7 C -0.172 4.172 8 C 0.316 3.684 9 O -0.422 6.422 10 N -0.346 5.346 11 C -0.019 4.019 12 C -0.182 4.182 13 C 0.043 3.957 14 C 0.001 3.999 15 C 0.036 3.964 16 N -0.316 5.316 17 C -0.381 4.381 18 H 0.087 0.913 19 C -0.196 4.196 20 N -0.547 5.547 21 Si 0.732 3.268 22 H -0.203 1.203 23 H -0.215 1.215 24 H -0.217 1.217 25 C -0.018 4.018 26 C -0.031 4.031 27 O -0.293 6.293 28 H 0.083 0.917 29 H 0.087 0.913 30 H 0.080 0.920 31 H 0.077 0.923 32 H 0.075 0.925 33 H 0.083 0.917 34 H 0.083 0.917 35 H 0.066 0.934 36 H 0.067 0.933 37 H 0.097 0.903 38 H 0.097 0.903 39 H 0.111 0.889 40 H 0.111 0.889 41 H 0.082 0.918 42 H 0.083 0.917 43 H 0.106 0.894 44 H 0.104 0.896 45 H 0.102 0.898 46 H 0.103 0.897 47 H 0.048 0.952 48 H 0.116 0.884 49 H 0.065 0.935 50 H 0.044 0.956 51 H 0.081 0.919 52 H 0.065 0.935 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -14.799 9.763 -14.755 23.066 hybrid contribution 1.559 0.185 -0.418 1.625 sum -13.239 9.948 -15.172 22.460 Atomic orbital electron populations 1.21864 0.93653 1.02761 1.02473 1.22076 0.95035 0.92449 0.88234 1.22308 1.01581 0.96862 1.02571 1.87944 1.36709 1.69976 1.35481 1.22541 0.85527 0.95301 0.97957 1.21217 0.95715 1.00428 0.96728 1.21508 0.98555 1.00745 0.96395 1.20147 0.79586 0.78536 0.90125 1.90707 1.51677 1.61366 1.38465 1.48582 1.20054 1.52019 1.13964 1.22100 0.90254 0.99685 0.89867 1.23027 0.96782 0.98971 0.99445 1.22695 0.92556 0.85177 0.95239 1.22103 0.97378 0.92732 0.87711 1.21145 0.90387 0.93493 0.91327 1.44077 1.02202 1.12705 1.72639 1.19209 0.80944 1.26564 1.11410 0.91281 1.25033 0.97897 1.01882 0.94822 1.70024 1.36289 1.38311 1.10069 0.86218 0.84860 0.78054 0.77619 1.20253 1.21481 1.21658 1.21590 0.94008 0.90938 0.95236 1.23092 0.93889 0.90389 0.95777 1.87650 1.34552 1.27660 1.79441 0.91739 0.91350 0.91960 0.92329 0.92475 0.91744 0.91703 0.93387 0.93328 0.90275 0.90286 0.88942 0.88894 0.91755 0.91711 0.89407 0.89559 0.89814 0.89711 0.95183 0.88400 0.93466 0.95554 0.91909 0.93502 0.89997 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -0.15 -1.00 9.56 37.15 0.36 -0.65 16 2 C 0.08 0.62 3.34 -26.73 -0.09 0.53 16 3 C -0.18 -1.19 9.53 37.16 0.35 -0.83 16 4 O -0.38 -4.03 9.99 -35.23 -0.35 -4.39 16 5 C 0.06 0.57 5.75 37.16 0.21 0.78 16 6 C -0.10 -1.13 4.87 -26.73 -0.13 -1.26 16 7 C -0.13 -1.38 4.89 -27.88 -0.14 -1.52 16 8 C 0.53 8.04 7.85 -10.98 -0.09 7.96 16 9 O -0.54 -10.36 16.25 5.56 0.09 -10.27 16 10 N -0.61 -9.42 3.33 -170.76 -0.57 -9.99 16 11 C 0.10 1.35 6.50 -2.96 -0.02 1.33 16 12 C -0.14 -2.30 5.88 -25.25 -0.15 -2.45 16 13 C 0.09 1.58 0.84 -89.65 -0.08 1.51 16 14 C 0.12 2.17 6.08 -2.87 -0.02 2.16 16 15 C 0.16 3.69 4.07 -3.92 -0.02 3.68 16 16 N -0.59 -14.04 2.99 -172.25 -0.51 -14.55 16 17 C -0.25 -6.51 9.67 -15.06 -0.15 -6.66 16 18 H 0.07 1.75 7.88 -52.49 -0.41 1.34 16 19 C 0.00 0.06 4.96 -17.43 -0.09 -0.02 16 20 N -0.90 -25.10 11.12 55.49 0.62 -24.49 16 21 Si 0.90 20.72 29.59 -169.99 -5.03 15.69 16 22 H -0.28 -6.20 7.11 56.52 0.40 -5.80 16 23 H -0.29 -6.62 7.11 56.52 0.40 -6.22 16 24 H -0.29 -6.80 7.11 56.52 0.40 -6.39 16 25 C 0.11 2.18 6.71 -3.53 -0.02 2.16 16 26 C 0.05 0.79 6.79 37.30 0.25 1.04 16 27 O -0.37 -7.08 10.28 -35.22 -0.36 -7.44 16 28 H 0.06 0.46 8.14 -51.93 -0.42 0.04 16 29 H 0.07 0.33 8.14 -51.93 -0.42 -0.09 16 30 H 0.06 0.43 8.14 -51.93 -0.42 0.01 16 31 H 0.06 0.39 7.79 -51.93 -0.40 -0.01 16 32 H 0.06 0.39 7.87 -51.93 -0.41 -0.02 16 33 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 34 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 35 H 0.05 0.37 7.87 -51.93 -0.41 -0.04 16 36 H 0.05 0.38 8.08 -51.93 -0.42 -0.04 16 37 H 0.08 0.99 8.10 -51.93 -0.42 0.57 16 38 H 0.08 0.98 8.10 -51.93 -0.42 0.56 16 39 H 0.09 0.78 8.14 -51.93 -0.42 0.36 16 40 H 0.09 0.82 8.14 -51.93 -0.42 0.39 16 41 H 0.06 0.75 8.14 -51.93 -0.42 0.32 16 42 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 43 H 0.09 1.47 7.82 -51.93 -0.41 1.07 16 44 H 0.09 1.37 6.10 -51.93 -0.32 1.05 16 45 H 0.08 1.59 8.06 -51.93 -0.42 1.17 16 46 H 0.08 1.49 7.99 -51.92 -0.41 1.07 16 47 H 0.03 0.75 8.14 -51.93 -0.42 0.33 16 48 H 0.10 2.42 5.93 -51.93 -0.31 2.11 16 49 H 0.26 6.88 8.31 -40.82 -0.34 6.54 16 50 H 0.03 0.56 8.14 -51.93 -0.42 0.13 16 51 H 0.06 1.19 7.96 -51.93 -0.41 0.77 16 52 H 0.05 0.76 6.25 -51.93 -0.32 0.44 16 53 H 0.08 1.18 8.14 -51.93 -0.42 0.76 16 LS Contribution 413.95 15.07 6.24 6.24 Total: -1.00 -31.41 413.95 -9.39 -40.80 By element: Atomic # 1 Polarization: 10.35 SS G_CDS: -9.71 Total: 0.64 kcal Atomic # 6 Polarization: 7.56 SS G_CDS: 0.20 Total: 7.76 kcal Atomic # 7 Polarization: -48.57 SS G_CDS: -0.47 Total: -49.03 kcal Atomic # 8 Polarization: -21.47 SS G_CDS: -0.62 Total: -22.09 kcal Atomic # 14 Polarization: 20.72 SS G_CDS: -5.03 Total: 15.69 kcal Total LS contribution 6.24 Total: 6.24 kcal Total: -31.41 -9.39 -40.80 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. ZINC001330170264.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 -66.956 kcal (2) G-P(sol) polarization free energy of solvation -31.410 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -98.366 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.385 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.795 kcal (6) G-S(sol) free energy of system = (1) + (5) -107.752 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds