Wall clock time and date at job start Tue Mar 31 2020 19:49:28 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 1.53005 * 1 3 3 H 1.08993 * 109.46996 * 2 1 4 4 C 1.53000 * 109.47014 * 119.99899 * 2 1 3 5 5 C 1.50697 * 109.46955 * 295.00193 * 4 2 1 6 6 O 1.21277 * 120.00458 * 359.97438 * 5 4 2 7 7 N 1.34785 * 120.00054 * 180.02562 * 5 4 2 8 8 C 1.46498 * 120.00112 * 179.97438 * 7 5 4 9 9 C 1.53000 * 109.47013 * 179.97438 * 8 7 5 10 10 C 1.50699 * 109.47010 * 179.97438 * 9 8 7 11 11 C 1.29454 * 117.69260 * 94.98047 * 10 9 8 12 12 C 1.50319 * 123.65446 * 180.87841 * 11 10 9 13 13 N 1.47006 * 109.16647 * 349.02497 * 12 11 10 14 14 C 1.36935 * 121.37843 * 222.92253 * 13 12 11 15 15 H 1.07998 * 120.00124 * 155.98758 * 14 13 12 16 16 C 1.38805 * 119.99840 * 335.99439 * 14 13 12 17 17 N 1.31624 * 120.00303 * 344.51428 * 16 14 13 18 18 Si 1.86805 * 120.00020 * 164.51440 * 16 14 13 19 19 H 1.48504 * 109.47033 * 60.00052 * 18 16 14 20 20 H 1.48505 * 109.47048 * 179.97438 * 18 16 14 21 21 H 1.48496 * 109.47110 * 300.00254 * 18 16 14 22 22 C 1.47343 * 117.24709 * 42.94367 * 13 12 11 23 23 C 1.49964 * 117.69718 * 275.00143 * 10 9 8 24 24 C 1.53000 * 109.47042 * 239.99770 * 2 1 3 25 25 H 1.08996 * 109.87315 * 299.29923 * 24 2 1 26 26 C 1.54106 * 109.87829 * 60.30697 * 24 2 1 27 27 C 1.54812 * 104.18522 * 121.45401 * 26 24 2 28 28 C 1.54995 * 102.09263 * 20.87830 * 27 26 24 29 29 O 1.43743 * 109.87832 * 178.29482 * 24 2 1 30 30 H 1.09001 * 109.46769 * 59.99955 * 1 2 3 31 31 H 1.09001 * 109.47336 * 179.97438 * 1 2 3 32 32 H 1.09002 * 109.47397 * 300.00453 * 1 2 3 33 33 H 1.08995 * 109.47374 * 175.00186 * 4 2 1 34 34 H 1.09007 * 109.47139 * 54.99710 * 4 2 1 35 35 H 0.96997 * 119.99434 * 359.97438 * 7 5 4 36 36 H 1.09000 * 109.47343 * 59.99902 * 8 7 5 37 37 H 1.08999 * 109.47012 * 300.00151 * 8 7 5 38 38 H 1.09000 * 109.47112 * 59.99802 * 9 8 7 39 39 H 1.08999 * 109.47389 * 299.99962 * 9 8 7 40 40 H 1.08008 * 118.17578 * 0.87874 * 11 10 9 41 41 H 1.08995 * 109.52755 * 229.11553 * 12 11 10 42 42 H 1.09008 * 109.57534 * 108.95944 * 12 11 10 43 43 H 0.96998 * 119.99771 * 179.97438 * 17 16 14 44 44 H 1.09008 * 109.77881 * 178.62021 * 22 13 12 45 45 H 1.08999 * 109.82612 * 57.84066 * 22 13 12 46 46 H 1.08994 * 109.31474 * 40.69384 * 23 10 9 47 47 H 1.09003 * 109.31474 * 281.26899 * 23 10 9 48 48 H 1.08994 * 110.48699 * 240.12952 * 26 24 2 49 49 H 1.08992 * 110.48483 * 2.64633 * 26 24 2 50 50 H 1.08998 * 110.90790 * 139.08145 * 27 26 24 51 51 H 1.09007 * 110.90529 * 262.64946 * 27 26 24 52 52 H 1.09002 * 110.61612 * 81.48085 * 28 27 26 53 53 H 1.09006 * 110.61633 * 204.47593 * 28 27 26 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 1 1.8933 1.0276 0.0000 4 6 2.0400 -0.7212 1.2493 5 6 1.6413 0.0571 2.4765 6 8 1.0117 1.0874 2.3632 7 7 1.9853 -0.3913 3.7002 8 6 1.5981 0.3656 4.8932 9 6 2.1080 -0.3557 6.1425 10 6 1.7103 0.4232 7.3697 11 6 0.6198 0.0766 7.9751 12 6 0.0884 0.7719 9.1973 13 7 1.1142 1.6884 9.7156 14 6 1.3735 1.7834 11.0568 15 1 2.3368 2.1336 11.3971 16 6 0.3984 1.4292 11.9790 17 7 -0.8537 1.2976 11.5951 18 14 0.8631 1.1394 13.7649 19 1 1.4574 2.3780 14.3290 20 1 -0.3508 0.7762 14.5395 21 1 1.8518 0.0345 13.8461 22 6 1.8516 2.5011 8.7323 23 6 2.6054 1.5456 7.8033 24 6 2.0400 -0.7213 -1.2492 25 1 1.6906 -1.7537 -1.2495 26 6 1.5379 0.0023 -2.5138 27 6 2.8327 0.3894 -3.2688 28 6 3.8664 -0.5965 -2.6674 29 8 3.4769 -0.6917 -1.2784 30 1 -0.3633 0.5139 -0.8900 31 1 -0.3634 -1.0277 -0.0005 32 1 -0.3634 0.5139 0.8899 33 1 3.1263 -0.7995 1.2057 34 1 1.6053 -1.7198 1.2952 35 1 2.4891 -1.2152 3.7908 36 1 0.5118 0.4439 4.9373 37 1 2.0327 1.3641 4.8469 38 1 3.1943 -0.4344 6.0987 39 1 1.6730 -1.3541 6.1886 40 1 0.0606 -0.7588 7.5801 41 1 -0.1577 0.0322 9.9592 42 1 -0.8064 1.3370 8.9360 43 1 -1.5350 1.0498 12.2395 44 1 2.5599 3.1503 9.2472 45 1 1.1527 3.1042 8.1527 46 1 2.9489 2.0925 6.9253 47 1 3.4676 1.1363 8.3298 48 1 0.9286 -0.6679 -3.1201 49 1 0.9705 0.8928 -2.2437 50 1 2.7205 0.2292 -4.3411 51 1 3.1115 1.4221 -3.0587 52 1 3.7947 -1.5704 -3.1516 53 1 4.8762 -0.1957 -2.7566 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001161785373.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 19:49:28 Heat of formation + Delta-G solvation = -65.366741 kcal Electronic energy + Delta-G solvation = -28712.512321 eV Core-core repulsion = 24777.171599 eV Total energy + Delta-G solvation = -3935.340722 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.11 seconds Orbital eigenvalues (eV) -40.36466 -39.47621 -37.89152 -35.66745 -34.82512 -33.52702 -32.49108 -31.40818 -29.93229 -29.40765 -28.39998 -27.49832 -25.24872 -23.77989 -22.97078 -22.49912 -22.06690 -20.94775 -20.60849 -20.08740 -17.60094 -17.36007 -16.76161 -16.23355 -16.09031 -15.95233 -15.62137 -15.36677 -14.99100 -14.39800 -14.11152 -14.05452 -14.00474 -13.61249 -13.55388 -13.44360 -13.11002 -12.70718 -12.57030 -12.31998 -12.18057 -12.01521 -11.94155 -11.69932 -11.61602 -11.50557 -11.37372 -11.17961 -11.07524 -10.95569 -10.94687 -10.87106 -10.70374 -10.31302 -10.23133 -10.04556 -9.80343 -9.74912 -9.49229 -9.05232 -8.62364 -7.88724 -6.69512 -5.75764 -3.14485 2.61474 2.86756 3.23677 3.40791 3.44509 3.46089 3.47455 4.13946 4.26708 4.48632 4.52250 4.54589 4.58553 4.76061 4.86636 4.96897 5.10730 5.15061 5.24715 5.26166 5.27603 5.29455 5.33452 5.37036 5.39864 5.42665 5.49501 5.58831 5.60012 5.64529 5.68705 5.82028 5.85767 6.04868 6.05826 6.08727 6.14409 6.20885 6.25616 6.43143 6.44390 6.54080 6.58963 6.82570 6.94044 7.26841 7.35663 7.43003 7.47235 7.77703 7.91747 8.20089 8.42331 9.23714 9.86636 10.45518 11.34564 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.037529 B = 0.001608 C = 0.001588 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 745.905855 B =17412.724916 C =17632.383991 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.155 4.155 2 C -0.071 4.071 3 H 0.085 0.915 4 C -0.135 4.135 5 C 0.510 3.490 6 O -0.539 6.539 7 N -0.732 5.732 8 C 0.124 3.876 9 C -0.091 4.091 10 C -0.142 4.142 11 C -0.147 4.147 12 C 0.196 3.804 13 N -0.595 5.595 14 C -0.246 4.246 15 H 0.068 0.932 16 C -0.002 4.002 17 N -0.910 5.910 18 Si 0.905 3.095 19 H -0.283 1.283 20 H -0.291 1.291 21 H -0.285 1.285 22 C 0.143 3.857 23 C -0.091 4.091 24 C 0.080 3.920 25 H 0.068 0.932 26 C -0.153 4.153 27 C -0.156 4.156 28 C 0.046 3.954 29 O -0.373 6.373 30 H 0.055 0.945 31 H 0.049 0.951 32 H 0.082 0.918 33 H 0.099 0.901 34 H 0.090 0.910 35 H 0.399 0.601 36 H 0.068 0.932 37 H 0.068 0.932 38 H 0.066 0.934 39 H 0.065 0.935 40 H 0.091 0.909 41 H 0.090 0.910 42 H 0.038 0.962 43 H 0.254 0.746 44 H 0.056 0.944 45 H 0.023 0.977 46 H 0.053 0.947 47 H 0.062 0.938 48 H 0.075 0.925 49 H 0.083 0.917 50 H 0.078 0.922 51 H 0.077 0.923 52 H 0.059 0.941 53 H 0.091 0.909 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.982 -7.413 -29.681 31.379 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 -0.212 4.212 2 C -0.090 4.090 3 H 0.103 0.897 4 C -0.175 4.175 5 C 0.297 3.703 6 O -0.416 6.416 7 N -0.384 5.384 8 C 0.001 3.999 9 C -0.129 4.129 10 C -0.143 4.143 11 C -0.166 4.166 12 C 0.072 3.928 13 N -0.318 5.318 14 C -0.375 4.375 15 H 0.085 0.915 16 C -0.200 4.200 17 N -0.555 5.555 18 Si 0.735 3.265 19 H -0.209 1.209 20 H -0.216 1.216 21 H -0.211 1.211 22 C 0.016 3.984 23 C -0.130 4.130 24 C 0.022 3.978 25 H 0.086 0.914 26 C -0.190 4.190 27 C -0.194 4.194 28 C -0.031 4.031 29 O -0.293 6.293 30 H 0.074 0.926 31 H 0.069 0.931 32 H 0.101 0.899 33 H 0.118 0.882 34 H 0.108 0.892 35 H 0.232 0.768 36 H 0.086 0.914 37 H 0.086 0.914 38 H 0.085 0.915 39 H 0.084 0.916 40 H 0.109 0.891 41 H 0.108 0.892 42 H 0.056 0.944 43 H 0.064 0.936 44 H 0.074 0.926 45 H 0.041 0.959 46 H 0.071 0.929 47 H 0.080 0.920 48 H 0.093 0.907 49 H 0.102 0.898 50 H 0.097 0.903 51 H 0.096 0.904 52 H 0.077 0.923 53 H 0.110 0.890 Dipole moment (debyes) X Y Z Total from point charges 6.505 -6.701 -29.430 30.877 hybrid contribution 0.287 -0.752 0.750 1.100 sum 6.792 -7.453 -28.680 30.401 Atomic orbital electron populations 1.21994 0.93791 1.01753 1.03645 1.21022 0.96384 1.00188 0.91412 0.89679 1.21691 1.03575 0.99828 0.92387 1.20699 0.79156 0.85808 0.84652 1.90676 1.39723 1.24573 1.86626 1.46162 1.58042 1.27923 1.06255 1.21415 1.00422 0.95449 0.82605 1.20905 1.00923 0.98404 0.92684 1.20234 0.98108 0.99591 0.96387 1.23111 0.95988 0.98706 0.98839 1.19700 0.89973 0.92469 0.90708 1.44119 1.42548 1.43087 1.02084 1.19146 0.96561 1.40644 0.81160 0.91459 1.24986 0.94779 1.02235 0.97954 1.70013 0.99429 1.52147 1.33915 0.86325 0.77134 0.78279 0.84775 1.20947 1.21644 1.21134 1.20952 0.94352 0.92039 0.91015 1.20757 0.97795 0.95807 0.98655 1.22839 0.81246 0.98723 0.94993 0.91408 1.23034 0.98180 1.01662 0.96149 1.23135 0.95186 1.00692 1.00395 1.23570 0.99032 0.98243 0.82260 1.88924 1.20372 1.95119 1.24843 0.92560 0.93150 0.89909 0.88234 0.89155 0.76781 0.91411 0.91385 0.91516 0.91600 0.89114 0.89189 0.94440 0.93604 0.92563 0.95874 0.92892 0.91965 0.90676 0.89809 0.90311 0.90418 0.92261 0.89044 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 -1.36 8.68 37.16 0.32 -1.03 16 2 C -0.07 -0.63 1.69 -90.62 -0.15 -0.78 16 3 H 0.08 0.92 7.95 -51.93 -0.41 0.51 16 4 C -0.13 -1.16 5.11 -27.88 -0.14 -1.31 16 5 C 0.51 6.05 7.55 -10.98 -0.08 5.97 16 6 O -0.54 -8.44 13.97 5.56 0.08 -8.36 16 7 N -0.73 -7.87 5.56 -60.30 -0.33 -8.20 16 8 C 0.12 1.64 5.66 -4.04 -0.02 1.62 16 9 C -0.09 -1.21 5.32 -27.88 -0.15 -1.36 16 10 C -0.14 -2.50 5.11 -100.99 -0.52 -3.01 16 11 C -0.15 -2.89 9.47 -35.78 -0.34 -3.23 16 12 C 0.20 4.80 5.23 -5.10 -0.03 4.78 16 13 N -0.60 -15.29 3.01 -173.67 -0.52 -15.81 16 14 C -0.25 -6.85 9.71 -15.06 -0.15 -7.00 16 15 H 0.07 1.83 7.88 -52.49 -0.41 1.42 16 16 C 0.00 -0.05 5.01 -17.43 -0.09 -0.14 16 17 N -0.91 -26.61 11.08 55.49 0.61 -26.00 16 18 Si 0.90 21.92 29.58 -169.99 -5.03 16.90 16 19 H -0.28 -6.77 7.11 56.52 0.40 -6.37 16 20 H -0.29 -7.07 7.11 56.52 0.40 -6.67 16 21 H -0.28 -6.83 7.11 56.52 0.40 -6.43 16 22 C 0.14 3.08 6.58 -3.53 -0.02 3.06 16 23 C -0.09 -1.64 5.95 -28.18 -0.17 -1.81 16 24 C 0.08 0.59 2.97 -26.15 -0.08 0.51 16 25 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 26 C -0.15 -0.91 6.03 -25.20 -0.15 -1.06 16 27 C -0.16 -0.83 7.16 -24.72 -0.18 -1.01 16 28 C 0.05 0.27 7.72 38.21 0.29 0.57 16 29 O -0.37 -3.27 10.54 -35.23 -0.37 -3.64 16 30 H 0.06 0.43 6.55 -51.93 -0.34 0.09 16 31 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 32 H 0.08 0.96 5.95 -51.93 -0.31 0.65 16 33 H 0.10 0.82 7.61 -51.93 -0.40 0.42 16 34 H 0.09 0.62 8.14 -51.93 -0.42 0.19 16 35 H 0.40 3.12 8.47 -40.82 -0.35 2.78 16 36 H 0.07 1.01 8.14 -51.93 -0.42 0.59 16 37 H 0.07 0.99 8.09 -51.93 -0.42 0.57 16 38 H 0.07 0.80 8.11 -51.93 -0.42 0.38 16 39 H 0.07 0.81 7.78 -51.93 -0.40 0.41 16 40 H 0.09 1.58 7.73 -52.48 -0.41 1.18 16 41 H 0.09 2.43 6.41 -51.93 -0.33 2.09 16 42 H 0.04 0.99 8.14 -51.92 -0.42 0.57 16 43 H 0.25 7.20 8.31 -40.82 -0.34 6.86 16 44 H 0.06 1.17 7.96 -51.92 -0.41 0.76 16 45 H 0.02 0.50 8.14 -51.93 -0.42 0.08 16 46 H 0.05 0.83 8.08 -51.93 -0.42 0.41 16 47 H 0.06 1.13 8.14 -51.93 -0.42 0.71 16 48 H 0.07 0.36 8.14 -51.93 -0.42 -0.06 16 49 H 0.08 0.53 6.50 -51.93 -0.34 0.19 16 50 H 0.08 0.30 8.14 -51.93 -0.42 -0.12 16 51 H 0.08 0.44 8.14 -51.92 -0.42 0.02 16 52 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 53 H 0.09 0.46 8.14 -51.93 -0.42 0.04 16 LS Contribution 411.08 15.07 6.19 6.19 Total: -1.00 -32.45 411.08 -10.59 -43.05 By element: Atomic # 1 Polarization: 10.68 SS G_CDS: -9.58 Total: 1.10 kcal Atomic # 6 Polarization: -3.58 SS G_CDS: -1.64 Total: -5.23 kcal Atomic # 7 Polarization: -49.76 SS G_CDS: -0.24 Total: -50.01 kcal Atomic # 8 Polarization: -11.71 SS G_CDS: -0.29 Total: -12.01 kcal Atomic # 14 Polarization: 21.92 SS G_CDS: -5.03 Total: 16.90 kcal Total LS contribution 6.19 Total: 6.19 kcal Total: -32.45 -10.59 -43.05 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. ZINC001161785373.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 -22.320 kcal (2) G-P(sol) polarization free energy of solvation -32.452 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -54.772 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.595 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.047 kcal (6) G-S(sol) free energy of system = (1) + (5) -65.367 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.11 seconds