Wall clock time and date at job start Sat Apr 11 2020 06:12:31 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 1.52995 * 1 3 3 H 1.08998 * 109.49872 * 2 1 4 4 C 1.53048 * 109.49865 * 239.93289 * 2 1 3 5 5 C 1.53035 * 109.53688 * 178.68549 * 4 2 1 6 6 C 1.53191 * 109.31594 * 61.36385 * 5 4 2 7 7 N 1.46925 * 108.77842 * 305.36516 * 6 5 4 8 8 C 1.34770 * 120.63364 * 233.58403 * 7 6 5 9 9 O 1.21279 * 120.00624 * 174.37731 * 8 7 6 10 10 C 1.50705 * 119.99832 * 354.38167 * 8 7 6 11 11 C 1.53002 * 109.47107 * 179.97438 * 10 8 7 12 12 C 1.53004 * 109.46951 * 179.97438 * 11 10 8 13 13 C 1.53002 * 109.46951 * 179.97438 * 12 11 10 14 14 N 1.46500 * 109.47055 * 180.02562 * 13 12 11 15 15 C 1.34776 * 119.99803 * 179.97438 * 14 13 12 16 16 N 1.34778 * 119.99967 * 179.97438 * 15 14 13 17 17 O 1.21593 * 120.00146 * 0.02562 * 15 14 13 18 18 C 1.46928 * 118.73398 * 53.60571 * 7 6 5 19 19 H 1.08990 * 109.59078 * 66.18300 * 18 7 6 20 20 C 1.53009 * 109.58261 * 186.60667 * 18 7 6 21 21 N 1.46499 * 109.46966 * 292.73696 * 20 18 7 22 22 C 1.36937 * 120.00062 * 185.80674 * 21 20 18 23 23 H 1.08002 * 119.99699 * 359.97438 * 22 21 20 24 24 C 1.38812 * 120.00127 * 179.97438 * 22 21 20 25 25 N 1.31612 * 120.00184 * 0.02562 * 24 22 21 26 26 Si 1.86798 * 119.99929 * 179.97438 * 24 22 21 27 27 H 1.48502 * 109.47194 * 60.00163 * 26 24 22 28 28 H 1.48494 * 109.47233 * 180.02562 * 26 24 22 29 29 H 1.48499 * 109.47037 * 300.00362 * 26 24 22 30 30 H 1.09002 * 109.47201 * 180.02562 * 1 2 3 31 31 H 1.09004 * 109.46942 * 60.06913 * 1 2 3 32 32 H 1.08995 * 109.47175 * 300.06468 * 1 2 3 33 33 H 1.08997 * 109.45875 * 298.70136 * 4 2 1 34 34 H 1.08995 * 109.45778 * 58.68062 * 4 2 1 35 35 H 1.09005 * 109.49771 * 181.31469 * 5 4 2 36 36 H 1.08997 * 109.49910 * 301.38361 * 5 4 2 37 37 H 1.09005 * 109.58388 * 65.15205 * 6 5 4 38 38 H 1.09006 * 109.58994 * 185.57500 * 6 5 4 39 39 H 1.09002 * 109.46892 * 299.99741 * 10 8 7 40 40 H 1.09001 * 109.47043 * 59.99526 * 10 8 7 41 41 H 1.08995 * 109.46997 * 300.00059 * 11 10 8 42 42 H 1.09006 * 109.46926 * 60.00077 * 11 10 8 43 43 H 1.09002 * 109.47201 * 300.00060 * 12 11 10 44 44 H 1.09001 * 109.46889 * 59.99940 * 12 11 10 45 45 H 1.09002 * 109.47217 * 300.00050 * 13 12 11 46 46 H 1.08998 * 109.46649 * 60.00155 * 13 12 11 47 47 H 0.96996 * 119.99561 * 0.02562 * 14 13 12 48 48 H 0.97004 * 119.99707 * 0.02562 * 16 15 14 49 49 H 0.96998 * 119.99949 * 180.02562 * 16 15 14 50 50 H 1.09002 * 109.46970 * 52.73646 * 20 18 7 51 51 H 1.08997 * 109.47013 * 172.73429 * 20 18 7 52 52 H 0.96995 * 119.99996 * 5.80072 * 21 20 18 53 53 H 0.96995 * 120.00295 * 179.97438 * 25 24 22 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 1 1.8938 1.0275 0.0000 4 6 2.0408 -0.7228 -1.2486 5 6 3.5708 -0.6948 -1.2661 6 6 4.1052 -1.4267 -0.0311 7 7 3.5046 -0.8295 1.1694 8 6 4.2810 -0.3871 2.1782 9 8 3.7815 0.1955 3.1174 10 6 5.7700 -0.6162 2.1393 11 6 6.4108 -0.0197 3.3942 12 6 7.9224 -0.2529 3.3549 13 6 8.5633 0.3441 4.6094 14 7 10.0108 0.1214 4.5716 15 6 10.7874 0.5652 5.5797 16 7 12.1190 0.3598 5.5451 17 8 10.2867 1.1500 6.5208 18 6 2.0413 -0.7242 1.2494 19 1 1.6052 -1.7219 1.2976 20 6 1.6517 0.0698 2.4979 21 7 2.0024 -0.6989 3.6947 22 6 1.6394 -0.2413 4.9332 23 1 1.0949 0.6866 5.0277 24 6 1.9713 -0.9699 6.0671 25 7 2.6353 -2.1004 5.9519 26 14 1.4768 -0.3452 7.7567 27 1 -0.0018 -0.2258 7.8270 28 1 1.9468 -1.2982 8.7939 29 1 2.0926 0.9854 7.9922 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3633 0.5128 -0.8906 32 1 -0.3633 0.5148 0.8894 33 1 1.6967 -1.7570 -1.2357 34 1 1.6584 -0.2238 -2.1389 35 1 3.9334 -1.1893 -2.1674 36 1 3.9159 0.3391 -1.2545 37 1 3.8375 -2.4819 -0.0874 38 1 5.1896 -1.3247 0.0135 39 1 5.9720 -1.6866 2.1015 40 1 6.1885 -0.1360 1.2547 41 1 6.2087 1.0507 3.4315 42 1 5.9923 -0.4996 4.2789 43 1 8.1241 -1.3235 3.3177 44 1 8.3411 0.2266 2.4701 45 1 8.3616 1.4147 4.6462 46 1 8.1446 -0.1351 5.4944 47 1 10.4102 -0.3448 3.8206 48 1 12.5184 -0.1070 4.7945 49 1 12.6779 0.6789 6.2708 50 1 2.1868 1.0194 2.5062 51 1 0.5781 0.2579 2.4886 52 1 2.4917 -1.5321 3.6097 53 1 2.8676 -2.6094 6.7443 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 ZINC001715484519.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 06:12:31 Heat of formation + Delta-G solvation = -36.304706 kcal Electronic energy + Delta-G solvation = -31177.318361 eV Core-core repulsion = 27085.074563 eV Total energy + Delta-G solvation = -4092.243798 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -40.16208 -39.85122 -37.37268 -35.96393 -34.67984 -33.91630 -33.32255 -32.99419 -32.01363 -30.21542 -29.04685 -26.90422 -25.87440 -24.44241 -23.45749 -22.30878 -21.44515 -21.20713 -20.67306 -19.99155 -18.49147 -18.29261 -17.38241 -16.99936 -16.08251 -16.02157 -15.51312 -15.23835 -14.84511 -14.71772 -14.64686 -14.33390 -14.28662 -13.86462 -13.54627 -13.37874 -13.17514 -12.88573 -12.61623 -12.35318 -12.30781 -12.06961 -11.94328 -11.74716 -11.49534 -11.33552 -11.27360 -10.94407 -10.92425 -10.80124 -10.62139 -10.56038 -10.50705 -10.39088 -10.37656 -10.12027 -9.87489 -9.74158 -9.43437 -9.08364 -8.63280 -8.16942 -7.94749 -6.40480 -5.49192 -2.67888 2.79414 3.12653 3.48403 3.52561 3.62190 3.64968 3.66398 4.33328 4.73461 4.79585 4.84817 4.86645 4.93749 5.03562 5.08502 5.12150 5.35470 5.43392 5.46788 5.53668 5.59688 5.63462 5.73079 5.76699 5.82196 5.82538 5.86205 5.90233 5.94040 5.94465 5.96848 6.04624 6.08187 6.15738 6.22214 6.37105 6.38333 6.46887 6.49472 6.55910 6.66031 6.72476 6.73924 6.77637 7.04163 7.36941 7.82083 7.92854 8.10722 8.51234 8.69224 9.11802 9.80764 10.40905 10.75275 11.74784 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.007766 B = 0.003475 C = 0.002497 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3604.818766 B = 8055.693603 C =11211.724883 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.099 4.099 3 H 0.071 0.929 4 C -0.112 4.112 5 C -0.134 4.134 6 C 0.113 3.887 7 N -0.621 5.621 8 C 0.464 3.536 9 O -0.438 6.438 10 C -0.128 4.128 11 C -0.101 4.101 12 C -0.126 4.126 13 C 0.134 3.866 14 N -0.744 5.744 15 C 0.701 3.299 16 N -0.871 5.871 17 O -0.592 6.592 18 C 0.148 3.852 19 H 0.065 0.935 20 C 0.163 3.837 21 N -0.692 5.692 22 C -0.207 4.207 23 H 0.063 0.937 24 C -0.019 4.019 25 N -0.939 5.939 26 Si 0.899 3.101 27 H -0.290 1.290 28 H -0.294 1.294 29 H -0.289 1.289 30 H 0.054 0.946 31 H 0.051 0.949 32 H 0.065 0.935 33 H 0.062 0.938 34 H 0.060 0.940 35 H 0.068 0.932 36 H 0.064 0.936 37 H 0.059 0.941 38 H 0.079 0.921 39 H 0.080 0.920 40 H 0.076 0.924 41 H 0.070 0.930 42 H 0.084 0.916 43 H 0.067 0.933 44 H 0.063 0.937 45 H 0.068 0.932 46 H 0.072 0.928 47 H 0.394 0.606 48 H 0.395 0.605 49 H 0.413 0.587 50 H 0.036 0.964 51 H 0.017 0.983 52 H 0.379 0.621 53 H 0.249 0.751 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 13.540 0.456 -18.240 22.721 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 -0.204 4.204 2 C -0.119 4.119 3 H 0.090 0.910 4 C -0.150 4.150 5 C -0.172 4.172 6 C -0.011 4.011 7 N -0.359 5.359 8 C 0.249 3.751 9 O -0.305 6.305 10 C -0.169 4.169 11 C -0.140 4.140 12 C -0.164 4.164 13 C 0.010 3.990 14 N -0.400 5.400 15 C 0.399 3.601 16 N -0.439 5.439 17 O -0.469 6.469 18 C 0.044 3.956 19 H 0.083 0.917 20 C 0.035 3.965 21 N -0.336 5.336 22 C -0.339 4.339 23 H 0.081 0.919 24 C -0.214 4.214 25 N -0.590 5.590 26 Si 0.732 3.268 27 H -0.218 1.218 28 H -0.220 1.220 29 H -0.216 1.216 30 H 0.073 0.927 31 H 0.070 0.930 32 H 0.084 0.916 33 H 0.081 0.919 34 H 0.078 0.922 35 H 0.086 0.914 36 H 0.083 0.917 37 H 0.078 0.922 38 H 0.097 0.903 39 H 0.099 0.901 40 H 0.094 0.906 41 H 0.089 0.911 42 H 0.102 0.898 43 H 0.086 0.914 44 H 0.082 0.918 45 H 0.086 0.914 46 H 0.090 0.910 47 H 0.228 0.772 48 H 0.222 0.778 49 H 0.245 0.755 50 H 0.054 0.946 51 H 0.034 0.966 52 H 0.213 0.787 53 H 0.059 0.941 Dipole moment (debyes) X Y Z Total from point charges 12.587 1.398 -16.774 21.018 hybrid contribution 0.712 -0.476 0.344 0.923 sum 13.299 0.923 -16.430 21.158 Atomic orbital electron populations 1.21840 0.94661 1.02007 1.01889 1.21471 0.95873 0.99953 0.94578 0.91030 1.21562 0.95086 1.00769 0.97583 1.21919 0.96434 1.01206 0.97690 1.21545 0.97935 0.96761 0.84821 1.47886 1.05984 1.63727 1.18302 1.20485 0.88545 0.83482 0.82553 1.91161 1.72026 1.35787 1.31534 1.21583 0.93823 1.02161 0.99306 1.21220 0.91893 1.02302 0.98578 1.21788 0.96751 1.01114 0.96742 1.21313 0.77209 1.01371 0.99099 1.45165 1.08438 1.62831 1.23601 1.16028 0.81560 0.79543 0.82976 1.43001 1.06778 1.65765 1.28391 1.91006 1.73359 1.47415 1.35165 1.21467 0.79447 0.99157 0.95494 0.91749 1.20899 0.95539 0.95222 0.84825 1.42253 1.66003 1.24741 1.00555 1.19093 1.27025 1.03591 0.84181 0.91918 1.24553 1.02022 0.97701 0.97107 1.69630 1.45854 1.15822 1.27677 0.86364 0.77714 0.77678 0.85094 1.21775 1.22027 1.21622 0.92667 0.93024 0.91633 0.91946 0.92153 0.91374 0.91743 0.92229 0.90301 0.90150 0.90561 0.91149 0.89765 0.91428 0.91800 0.91381 0.90989 0.77236 0.77776 0.75524 0.94630 0.96570 0.78722 0.94092 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.79 8.97 37.15 0.33 -1.45 16 2 C -0.10 -1.29 2.34 -90.50 -0.21 -1.50 16 3 H 0.07 0.99 8.14 -51.93 -0.42 0.57 16 4 C -0.11 -1.16 5.17 -26.69 -0.14 -1.30 16 5 C -0.13 -1.27 6.08 -26.61 -0.16 -1.43 16 6 C 0.11 1.25 6.32 -3.71 -0.02 1.23 16 7 N -0.62 -9.67 2.97 -165.21 -0.49 -10.17 16 8 C 0.46 8.40 6.97 -10.99 -0.08 8.32 16 9 O -0.44 -10.24 9.65 5.56 0.05 -10.18 16 10 C -0.13 -1.74 4.11 -27.88 -0.11 -1.85 16 11 C -0.10 -1.48 4.50 -26.73 -0.12 -1.60 16 12 C -0.13 -1.33 5.33 -26.73 -0.14 -1.47 16 13 C 0.13 1.68 5.67 -4.04 -0.02 1.65 16 14 N -0.74 -7.58 5.56 -65.22 -0.36 -7.94 16 15 C 0.70 8.70 8.84 -86.92 -0.77 7.93 16 16 N -0.87 -6.29 8.88 27.64 0.25 -6.05 16 17 O -0.59 -10.66 17.18 5.28 0.09 -10.57 16 18 C 0.15 2.49 2.41 -67.59 -0.16 2.33 16 19 H 0.06 1.15 8.14 -51.93 -0.42 0.73 16 20 C 0.16 3.51 4.77 -4.04 -0.02 3.49 16 21 N -0.69 -18.46 3.15 -59.90 -0.19 -18.65 16 22 C -0.21 -6.16 9.69 -15.06 -0.15 -6.31 16 23 H 0.06 1.85 7.83 -52.49 -0.41 1.44 16 24 C -0.02 -0.59 5.50 -17.43 -0.10 -0.69 16 25 N -0.94 -29.71 13.06 55.49 0.72 -28.99 16 26 Si 0.90 24.11 29.55 -169.99 -5.02 19.09 16 27 H -0.29 -7.61 7.11 56.52 0.40 -7.21 16 28 H -0.29 -7.93 7.11 56.52 0.40 -7.53 16 29 H -0.29 -7.76 7.11 56.52 0.40 -7.36 16 30 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 31 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 32 H 0.06 0.89 6.48 -51.93 -0.34 0.55 16 33 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 34 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 35 H 0.07 0.50 8.14 -51.93 -0.42 0.08 16 36 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 37 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 38 H 0.08 0.73 5.96 -51.93 -0.31 0.42 16 39 H 0.08 1.01 8.12 -51.93 -0.42 0.58 16 40 H 0.08 0.81 7.46 -51.93 -0.39 0.42 16 41 H 0.07 1.11 8.10 -51.93 -0.42 0.69 16 42 H 0.08 1.58 8.10 -51.93 -0.42 1.16 16 43 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 44 H 0.06 0.54 8.14 -51.93 -0.42 0.12 16 45 H 0.07 0.94 8.14 -51.93 -0.42 0.52 16 46 H 0.07 1.08 8.14 -51.93 -0.42 0.66 16 47 H 0.39 2.56 8.49 -40.82 -0.35 2.22 16 48 H 0.39 1.44 8.84 -40.82 -0.36 1.08 16 49 H 0.41 2.64 8.93 -40.82 -0.36 2.28 16 50 H 0.04 0.84 6.49 -51.93 -0.34 0.51 16 51 H 0.02 0.36 6.33 -51.93 -0.33 0.03 16 52 H 0.38 10.73 6.83 -40.82 -0.28 10.45 16 53 H 0.25 7.72 8.31 -40.82 -0.34 7.38 16 LS Contribution 410.12 15.07 6.18 6.18 Total: -1.00 -38.77 410.12 -10.00 -48.76 By element: Atomic # 1 Polarization: 20.51 SS G_CDS: -9.35 Total: 11.15 kcal Atomic # 6 Polarization: 9.22 SS G_CDS: -1.87 Total: 7.35 kcal Atomic # 7 Polarization: -71.71 SS G_CDS: -0.07 Total: -71.79 kcal Atomic # 8 Polarization: -20.89 SS G_CDS: 0.14 Total: -20.75 kcal Atomic # 14 Polarization: 24.11 SS G_CDS: -5.02 Total: 19.09 kcal Total LS contribution 6.18 Total: 6.18 kcal Total: -38.77 -10.00 -48.76 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. ZINC001715484519.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 12.460 kcal (2) G-P(sol) polarization free energy of solvation -38.768 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -26.308 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.997 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -48.765 kcal (6) G-S(sol) free energy of system = (1) + (5) -36.305 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds