Wall clock time and date at job start Tue Mar 31 2020 21:06:50 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 1.52993 * 1 3 3 C 1.53002 * 109.47134 * 2 1 4 4 C 1.53005 * 109.47308 * 119.99896 * 2 1 3 5 5 H 1.08993 * 109.46760 * 300.00346 * 4 2 1 6 6 C 1.53002 * 109.46938 * 59.99984 * 4 2 1 7 7 C 1.52996 * 109.47109 * 180.02562 * 6 4 2 8 8 C 1.53001 * 109.47325 * 300.00081 * 7 6 4 9 9 C 1.53001 * 109.46804 * 59.99665 * 8 7 6 10 10 H 1.09003 * 109.46782 * 179.97438 * 9 8 7 11 11 N 1.46502 * 109.47045 * 60.00648 * 9 8 7 12 12 C 1.34774 * 120.00095 * 84.99392 * 11 9 8 13 13 O 1.21339 * 120.00436 * 0.02562 * 12 11 9 14 14 C 1.49459 * 119.99559 * 180.02562 * 12 11 9 15 15 O 1.21346 * 120.00352 * 5.08702 * 14 12 11 16 16 N 1.34775 * 119.99456 * 185.09582 * 14 12 11 17 17 C 1.46502 * 119.99926 * 184.97857 * 16 14 12 18 18 C 1.52993 * 109.47372 * 175.98368 * 17 16 14 19 19 C 1.50698 * 115.55403 * 279.45332 * 18 17 16 20 20 H 1.08003 * 119.99720 * 92.77713 * 19 18 17 21 21 C 1.37878 * 119.99913 * 272.77846 * 19 18 17 22 22 N 1.31512 * 120.00043 * 8.33415 * 21 19 18 23 23 Si 1.86801 * 119.99537 * 188.33629 * 21 19 18 24 24 H 1.48500 * 109.47403 * 90.00045 * 23 21 19 25 25 H 1.48509 * 109.46839 * 209.99867 * 23 21 19 26 26 H 1.48495 * 109.47486 * 329.99610 * 23 21 19 27 27 C 1.53002 * 117.49705 * 133.74546 * 18 17 16 28 28 C 1.53003 * 60.00097 * 252.51316 * 27 18 17 29 29 C 1.52993 * 109.47308 * 179.97438 * 4 2 1 30 30 H 1.09001 * 109.47013 * 179.97438 * 1 2 3 31 31 H 1.08993 * 109.47492 * 300.00207 * 1 2 3 32 32 H 1.09008 * 109.47160 * 60.00179 * 1 2 3 33 33 H 1.09003 * 109.47606 * 239.99804 * 2 1 3 34 34 H 1.09001 * 109.46913 * 180.02562 * 3 2 1 35 35 H 1.09000 * 109.47190 * 299.99748 * 3 2 1 36 36 H 1.08995 * 109.47153 * 60.00097 * 3 2 1 37 37 H 1.09003 * 109.47071 * 300.00714 * 6 4 2 38 38 H 1.09005 * 109.47087 * 60.00124 * 6 4 2 39 39 H 1.08993 * 109.46792 * 60.00237 * 7 6 4 40 40 H 1.09001 * 109.46843 * 180.02562 * 7 6 4 41 41 H 1.09005 * 109.46956 * 300.00071 * 8 7 6 42 42 H 1.09000 * 109.47096 * 179.97438 * 8 7 6 43 43 H 0.97002 * 119.99417 * 264.99959 * 11 9 8 44 44 H 0.96995 * 120.00590 * 4.70469 * 16 14 12 45 45 H 1.09005 * 109.47054 * 295.98992 * 17 16 14 46 46 H 1.08998 * 109.46884 * 55.98367 * 17 16 14 47 47 H 0.96999 * 119.99817 * 185.00576 * 22 21 19 48 48 H 1.08999 * 117.50164 * 0.02562 * 27 18 17 49 49 H 1.08997 * 117.49733 * 145.02331 * 27 18 17 50 50 H 1.08998 * 117.49657 * 252.51245 * 28 27 18 51 51 H 1.08995 * 117.51679 * 107.48162 * 28 27 18 52 52 H 1.08999 * 109.47347 * 60.00089 * 29 4 2 53 53 H 1.09003 * 109.47606 * 299.99908 * 29 4 2 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 2.0399 1.4425 0.0000 4 6 2.0400 -0.7212 1.2493 5 1 1.6766 -0.2074 2.1392 6 6 1.5300 -2.1638 1.2493 7 6 2.0395 -2.8848 2.4988 8 6 3.5695 -2.8848 2.4995 9 6 4.0794 -1.4423 2.4994 10 1 5.1694 -1.4423 2.5003 11 7 3.5906 -0.7515 3.6953 12 6 4.2670 -0.8542 4.8565 13 8 5.2810 -1.5183 4.9115 14 6 3.7679 -0.1499 6.0767 15 8 2.7067 0.4378 6.0467 16 7 4.4967 -0.1674 7.2102 17 6 3.9592 0.4285 8.4359 18 6 4.9342 0.1877 9.5901 19 6 4.8619 -1.1755 10.2285 20 1 5.5067 -1.9692 9.8812 21 6 3.9726 -1.4093 11.2559 22 7 3.0764 -0.4993 11.5697 23 14 4.0407 -3.0186 12.2019 24 1 4.9576 -2.8731 13.3609 25 1 2.6806 -3.3654 12.6872 26 1 4.5377 -4.0966 11.3098 27 6 5.2637 1.3759 10.4960 28 6 6.3078 0.8563 9.5056 29 6 3.5699 -0.7218 1.2490 30 1 -0.3633 -1.0277 -0.0005 31 1 -0.3634 0.5138 0.8899 32 1 -0.3634 0.5138 -0.8901 33 1 1.8934 -0.5139 -0.8900 34 1 3.1300 1.4425 -0.0005 35 1 1.6767 1.9563 -0.8900 36 1 1.6766 1.9563 0.8899 37 1 0.4399 -2.1637 1.2492 38 1 1.8933 -2.6776 0.3593 39 1 1.6757 -2.3709 3.3885 40 1 1.6765 -3.9126 2.4985 41 1 3.9332 -3.3988 1.6097 42 1 3.9324 -3.3981 3.3899 43 1 2.7802 -0.2204 3.6513 44 1 5.3755 -0.5780 7.2156 45 1 3.8258 1.5005 8.2905 46 1 2.9980 -0.0286 8.6709 47 1 2.4990 -0.6320 12.3378 48 1 4.7856 2.3290 10.2699 49 1 5.4282 1.1717 11.5540 50 1 7.1591 0.3103 9.9121 51 1 6.5170 1.4673 8.6276 52 1 3.9337 0.3057 1.2487 53 1 3.9330 -1.2359 0.3590 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 ZINC001258148662.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 21:06:50 Heat of formation + Delta-G solvation = -81.733218 kcal Electronic energy + Delta-G solvation = -30023.113433 eV Core-core repulsion = 26087.063008 eV Total energy + Delta-G solvation = -3936.050425 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -40.70827 -39.39528 -37.98582 -36.74991 -35.72406 -33.73999 -33.01412 -31.96392 -30.49432 -29.55839 -27.46547 -26.97619 -25.46358 -23.83579 -23.27544 -22.34388 -21.27433 -20.37170 -20.11894 -19.48868 -19.19146 -18.11721 -16.50905 -16.21468 -16.00179 -15.62890 -15.35253 -14.93784 -14.68281 -14.64226 -14.26107 -14.13037 -13.86234 -13.78990 -13.45502 -13.34217 -13.19612 -12.72031 -12.60972 -12.53393 -12.40772 -11.92965 -11.83053 -11.68349 -11.55867 -11.44494 -11.31982 -11.24316 -11.08096 -10.98913 -10.86776 -10.68261 -10.54974 -10.30077 -10.28745 -10.14836 -9.70233 -9.24835 -9.13887 -9.01763 -8.50795 -8.35191 -8.24833 -6.10641 -4.17558 1.80549 2.71776 3.27479 3.35191 3.38089 3.61334 4.04822 4.28610 4.36314 4.37146 4.44757 4.73648 4.78592 4.87883 4.94548 5.04747 5.07569 5.17693 5.18161 5.28179 5.31109 5.33908 5.38423 5.40139 5.45345 5.59212 5.62407 5.64358 5.73724 5.84594 5.86466 5.89858 5.95177 5.95752 6.06869 6.11444 6.14045 6.24185 6.29473 6.36527 6.39307 6.48414 6.64128 6.72762 6.99427 7.04181 7.27456 7.38121 7.44766 7.81474 7.86805 8.15111 8.32168 8.51642 8.84913 9.49801 10.98195 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.016459 B = 0.002489 C = 0.002400 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1700.790810 B =11248.719284 C =11662.595602 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.090 4.090 3 C -0.152 4.152 4 C -0.087 4.087 5 H 0.072 0.928 6 C -0.115 4.115 7 C -0.122 4.122 8 C -0.131 4.131 9 C 0.145 3.855 10 H 0.090 0.910 11 N -0.699 5.699 12 C 0.508 3.492 13 O -0.521 6.521 14 C 0.495 3.505 15 O -0.538 6.538 16 N -0.672 5.672 17 C 0.159 3.841 18 C 0.025 3.975 19 C -0.499 4.499 20 H 0.062 0.938 21 C 0.073 3.927 22 N -0.874 5.874 23 Si 0.889 3.111 24 H -0.280 1.280 25 H -0.287 1.287 26 H -0.273 1.273 27 C -0.144 4.144 28 C -0.210 4.210 29 C -0.123 4.123 30 H 0.057 0.943 31 H 0.056 0.944 32 H 0.051 0.949 33 H 0.068 0.932 34 H 0.057 0.943 35 H 0.052 0.948 36 H 0.056 0.944 37 H 0.066 0.934 38 H 0.061 0.939 39 H 0.065 0.935 40 H 0.062 0.938 41 H 0.071 0.929 42 H 0.070 0.930 43 H 0.410 0.590 44 H 0.410 0.590 45 H 0.045 0.955 46 H 0.080 0.920 47 H 0.262 0.738 48 H 0.066 0.934 49 H 0.084 0.916 50 H 0.081 0.919 51 H 0.066 0.934 52 H 0.074 0.926 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -2.122 0.434 -23.526 23.626 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 -0.108 4.108 3 C -0.209 4.209 4 C -0.105 4.105 5 H 0.090 0.910 6 C -0.152 4.152 7 C -0.159 4.159 8 C -0.170 4.170 9 C 0.040 3.960 10 H 0.109 0.891 11 N -0.354 5.354 12 C 0.289 3.711 13 O -0.396 6.396 14 C 0.274 3.726 15 O -0.417 6.417 16 N -0.322 5.322 17 C 0.037 3.963 18 C 0.024 3.976 19 C -0.537 4.537 20 H 0.080 0.920 21 C -0.131 4.131 22 N -0.510 5.510 23 Si 0.716 3.284 24 H -0.206 1.206 25 H -0.212 1.212 26 H -0.198 1.198 27 C -0.182 4.182 28 C -0.247 4.247 29 C -0.161 4.161 30 H 0.076 0.924 31 H 0.075 0.925 32 H 0.070 0.930 33 H 0.087 0.913 34 H 0.076 0.924 35 H 0.071 0.929 36 H 0.075 0.925 37 H 0.084 0.916 38 H 0.080 0.920 39 H 0.084 0.916 40 H 0.081 0.919 41 H 0.090 0.910 42 H 0.088 0.912 43 H 0.247 0.753 44 H 0.246 0.754 45 H 0.063 0.937 46 H 0.099 0.901 47 H 0.071 0.929 48 H 0.084 0.916 49 H 0.103 0.897 50 H 0.099 0.901 51 H 0.085 0.915 52 H 0.092 0.908 53 H 0.098 0.902 Dipole moment (debyes) X Y Z Total from point charges -2.353 0.379 -23.380 23.501 hybrid contribution -0.037 -0.781 0.706 1.053 sum -2.389 -0.402 -22.674 22.803 Atomic orbital electron populations 1.21908 0.95264 1.01871 1.01755 1.21118 0.95768 0.96102 0.97815 1.21925 1.01218 0.95965 1.01829 1.21247 0.94824 0.96155 0.98294 0.90995 1.21657 1.00571 0.94848 0.98127 1.21527 0.95413 1.00563 0.98428 1.21934 0.96151 0.96120 1.02777 1.21036 0.99612 0.91705 0.83622 0.89149 1.45900 1.29337 1.51393 1.08771 1.20500 0.83982 0.81746 0.84830 1.90736 1.24124 1.40016 1.84744 1.19994 0.85527 0.82283 0.84796 1.90715 1.22675 1.43824 1.84459 1.45988 1.20671 1.56318 1.09175 1.21325 0.98826 0.95199 0.80944 1.19051 0.90324 0.94111 0.94091 1.20418 1.20600 0.94428 1.18215 0.92006 1.24970 0.94108 0.96770 0.97250 1.70024 1.19363 1.35141 1.26497 0.86643 0.77291 0.84100 0.80350 1.20581 1.21246 1.19754 1.22503 1.01990 0.97070 0.96683 1.23016 0.94758 1.05712 1.01237 1.21956 0.95806 1.01266 0.97044 0.92377 0.92525 0.92953 0.91308 0.92364 0.92911 0.92479 0.91587 0.91978 0.91636 0.91923 0.90993 0.91160 0.75298 0.75440 0.93707 0.90130 0.92864 0.91576 0.89697 0.90072 0.91529 0.90783 0.90246 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.98 8.84 37.15 0.33 -0.65 16 2 C -0.09 -0.58 2.51 -90.62 -0.23 -0.81 16 3 C -0.15 -1.01 8.84 37.16 0.33 -0.68 16 4 C -0.09 -0.64 1.60 -90.62 -0.15 -0.78 16 5 H 0.07 0.62 6.50 -51.93 -0.34 0.28 16 6 C -0.11 -0.85 4.85 -26.73 -0.13 -0.98 16 7 C -0.12 -1.12 5.77 -26.73 -0.15 -1.28 16 8 C -0.13 -1.29 5.60 -26.73 -0.15 -1.44 16 9 C 0.14 1.46 2.78 -67.91 -0.19 1.27 16 10 H 0.09 1.00 7.58 -51.93 -0.39 0.61 16 11 N -0.70 -8.70 4.23 -54.21 -0.23 -8.93 16 12 C 0.51 8.21 7.85 -11.58 -0.09 8.12 16 13 O -0.52 -9.35 16.16 5.51 0.09 -9.26 16 14 C 0.49 9.28 7.88 -11.58 -0.09 9.19 16 15 O -0.54 -11.01 16.49 5.50 0.09 -10.92 16 16 N -0.67 -13.34 5.50 -60.73 -0.33 -13.67 16 17 C 0.16 3.58 5.57 -4.04 -0.02 3.55 16 18 C 0.03 0.59 1.38 -155.66 -0.21 0.37 16 19 C -0.50 -13.12 8.83 -34.44 -0.30 -13.42 16 20 H 0.06 1.63 7.83 -52.48 -0.41 1.22 16 21 C 0.07 1.95 5.36 -17.82 -0.10 1.86 16 22 N -0.87 -24.20 12.89 55.43 0.71 -23.49 16 23 Si 0.89 20.84 29.55 -169.99 -5.02 15.82 16 24 H -0.28 -6.50 7.11 56.52 0.40 -6.09 16 25 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 26 H -0.27 -6.38 7.11 56.52 0.40 -5.97 16 27 C -0.14 -3.24 9.32 -26.73 -0.25 -3.49 16 28 C -0.21 -4.32 9.84 -26.73 -0.26 -4.59 16 29 C -0.12 -0.92 4.54 -26.71 -0.12 -1.04 16 30 H 0.06 0.36 6.43 -51.93 -0.33 0.03 16 31 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 32 H 0.05 0.31 8.14 -51.92 -0.42 -0.11 16 33 H 0.07 0.43 8.14 -51.93 -0.42 0.00 16 34 H 0.06 0.37 6.43 -51.93 -0.33 0.04 16 35 H 0.05 0.32 8.14 -51.93 -0.42 -0.10 16 36 H 0.06 0.41 8.14 -51.93 -0.42 -0.01 16 37 H 0.07 0.48 6.43 -51.93 -0.33 0.14 16 38 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 39 H 0.06 0.72 7.60 -51.93 -0.39 0.32 16 40 H 0.06 0.55 8.14 -51.93 -0.42 0.13 16 41 H 0.07 0.59 8.14 -51.93 -0.42 0.16 16 42 H 0.07 0.86 8.14 -51.93 -0.42 0.43 16 43 H 0.41 4.85 6.35 -40.82 -0.26 4.59 16 44 H 0.41 7.89 7.91 -40.82 -0.32 7.57 16 45 H 0.04 0.98 7.94 -51.93 -0.41 0.57 16 46 H 0.08 2.06 8.12 -51.93 -0.42 1.64 16 47 H 0.26 6.95 8.32 -40.82 -0.34 6.61 16 48 H 0.07 1.40 8.08 -51.93 -0.42 0.98 16 49 H 0.08 2.03 8.14 -51.93 -0.42 1.61 16 50 H 0.08 1.65 8.14 -51.93 -0.42 1.23 16 51 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 52 H 0.07 0.55 6.43 -51.93 -0.33 0.22 16 53 H 0.08 0.50 8.14 -51.93 -0.42 0.08 16 LS Contribution 415.31 15.07 6.26 6.26 Total: -1.00 -28.80 415.31 -9.56 -38.37 By element: Atomic # 1 Polarization: 19.96 SS G_CDS: -9.34 Total: 10.62 kcal Atomic # 6 Polarization: -3.01 SS G_CDS: -1.79 Total: -4.80 kcal Atomic # 7 Polarization: -46.24 SS G_CDS: 0.15 Total: -46.09 kcal Atomic # 8 Polarization: -20.36 SS G_CDS: 0.18 Total: -20.18 kcal Atomic # 14 Polarization: 20.84 SS G_CDS: -5.02 Total: 15.82 kcal Total LS contribution 6.26 Total: 6.26 kcal Total: -28.80 -9.56 -38.37 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. ZINC001258148662.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 -43.367 kcal (2) G-P(sol) polarization free energy of solvation -28.804 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -72.171 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.563 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.367 kcal (6) G-S(sol) free energy of system = (1) + (5) -81.733 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds