Wall clock time and date at job start Tue Mar 31 2020 05:39:45 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 N 2 2 C 1.31512 * 1 3 3 Si 1.86796 * 119.99861 * 2 1 4 4 H 1.48507 * 109.47069 * 270.00089 * 3 2 1 5 5 H 1.48504 * 109.47084 * 30.00034 * 3 2 1 6 6 H 1.48502 * 109.47224 * 150.00170 * 3 2 1 7 7 C 1.37874 * 119.99982 * 180.02562 * 2 1 3 8 8 H 1.08007 * 120.00338 * 359.97438 * 7 2 1 9 9 C 1.50705 * 120.00005 * 179.97438 * 7 2 1 10 10 N 1.46505 * 109.47150 * 179.97438 * 9 7 2 11 11 N 1.40065 * 125.87330 * 270.31295 * 10 9 7 12 12 C 1.30249 * 109.69128 * 180.16223 * 11 10 9 13 13 C 1.41168 * 108.46928 * 359.57642 * 12 11 10 14 14 C 1.36308 * 125.86988 * 90.00495 * 10 9 7 15 15 N 1.33199 * 134.61952 * 359.97438 * 14 10 9 16 16 C 1.31512 * 120.68272 * 180.02562 * 15 14 10 17 17 N 1.32124 * 122.64693 * 359.97438 * 16 15 14 18 18 C 1.32858 * 121.19386 * 0.02562 * 17 16 15 19 19 N 1.38108 * 120.81367 * 179.97438 * 18 17 16 20 20 C 1.46494 * 120.00075 * 0.02562 * 19 18 17 21 21 C 1.52999 * 109.47484 * 179.97438 * 20 19 18 22 22 C 1.52996 * 109.47155 * 179.97438 * 21 20 19 23 23 O 1.42905 * 109.47031 * 180.02562 * 22 21 20 24 24 C 1.42891 * 114.00060 * 180.02562 * 23 22 21 25 25 C 1.52999 * 109.47079 * 269.99993 * 24 23 22 26 26 C 1.53001 * 109.47117 * 180.02562 * 25 24 23 27 27 C 1.53002 * 109.47571 * 60.00139 * 26 25 24 28 28 C 1.53009 * 109.46491 * 299.99828 * 27 26 25 29 29 C 1.52999 * 109.47075 * 60.00254 * 28 27 26 30 30 H 0.97001 * 120.00605 * 359.97438 * 1 2 3 31 31 H 1.09004 * 109.46776 * 60.00100 * 9 7 2 32 32 H 1.08998 * 109.47449 * 300.00035 * 9 7 2 33 33 H 1.08002 * 125.76682 * 179.84835 * 12 11 10 34 34 H 1.08001 * 118.67412 * 179.97438 * 16 15 14 35 35 H 0.96999 * 119.99740 * 180.02562 * 19 18 17 36 36 H 1.08997 * 109.47529 * 300.00389 * 20 19 18 37 37 H 1.09003 * 109.46889 * 59.99897 * 20 19 18 38 38 H 1.08997 * 109.47189 * 300.00762 * 21 20 19 39 39 H 1.08999 * 109.46538 * 60.00232 * 21 20 19 40 40 H 1.08994 * 109.47269 * 300.00417 * 22 21 20 41 41 H 1.08999 * 109.47153 * 60.00676 * 22 21 20 42 42 H 1.09004 * 109.47483 * 29.99908 * 24 23 22 43 43 H 1.08999 * 109.47164 * 299.99890 * 25 24 23 44 44 H 1.08999 * 109.47420 * 59.99979 * 25 24 23 45 45 H 1.09004 * 109.47251 * 299.99796 * 26 25 24 46 46 H 1.09000 * 109.47327 * 179.97438 * 26 25 24 47 47 H 1.08999 * 109.47483 * 180.02562 * 27 26 25 48 48 H 1.08997 * 109.46761 * 59.99476 * 27 26 25 49 49 H 1.08995 * 109.47063 * 300.00211 * 28 27 26 50 50 H 1.09003 * 109.46484 * 179.97438 * 28 27 26 51 51 H 1.09000 * 109.47329 * 179.97438 * 29 28 27 52 52 H 1.09004 * 109.47566 * 59.99620 * 29 28 27 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 7 0.0000 0.0000 0.0000 2 6 1.3151 0.0000 0.0000 3 14 2.2491 1.6177 0.0000 4 1 2.4965 2.0464 -1.4001 5 1 1.4465 2.6526 0.7001 6 1 3.5467 1.4402 0.7000 7 6 2.0045 -1.1940 -0.0005 8 1 1.4645 -2.1294 -0.0005 9 6 3.5115 -1.1940 -0.0011 10 7 3.9999 -2.5753 -0.0010 11 7 4.2681 -3.3509 1.1340 12 6 4.6900 -4.5285 0.7712 13 6 4.7085 -4.5819 -0.6394 14 6 4.2658 -3.3285 -1.1055 15 7 4.1916 -3.1214 -2.4192 16 6 4.5259 -4.0688 -3.2679 17 7 4.9473 -5.2588 -2.8779 18 6 5.0555 -5.5622 -1.5890 19 7 5.4964 -6.8087 -1.1902 20 6 5.8521 -7.8154 -2.1933 21 6 6.3061 -9.0968 -1.4913 22 6 6.6769 -10.1483 -2.5390 23 8 7.1003 -11.3454 -1.8833 24 6 7.4719 -12.3970 -2.7765 25 6 6.2446 -13.2532 -3.0949 26 6 6.6426 -14.3796 -4.0507 27 6 7.7155 -15.2506 -3.3941 28 6 8.9429 -14.3943 -3.0758 29 6 8.5449 -13.2679 -2.1199 30 1 -0.4851 0.8400 0.0004 31 1 3.8752 -0.6804 0.8889 32 1 3.8746 -0.6800 -0.8911 33 1 4.9733 -5.3304 1.4369 34 1 4.4529 -3.8660 -4.3261 35 1 5.5706 -7.0177 -0.2459 36 1 4.9839 -8.0301 -2.8164 37 1 6.6620 -7.4366 -2.8168 38 1 7.1743 -8.8818 -0.8685 39 1 5.4964 -9.4757 -0.8676 40 1 5.8083 -10.3631 -3.1614 41 1 7.4863 -9.7697 -3.1631 42 1 7.8652 -11.9687 -3.6985 43 1 5.8513 -13.6815 -2.1729 44 1 5.4800 -12.6327 -3.5623 45 1 7.0361 -13.9517 -4.9728 46 1 5.7683 -14.9899 -4.2772 47 1 7.9994 -16.0528 -4.0753 48 1 7.3219 -15.6785 -2.4721 49 1 9.3363 -13.9663 -3.9978 50 1 9.7071 -15.0147 -2.6076 51 1 9.4194 -12.6582 -1.8927 52 1 8.1514 -13.6959 -1.1978 RHF calculation, no. of doubly occupied orbitals= 68 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 ZINC000097200072.mol2 52 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 05:39:45 Heat of formation + Delta-G solvation = 45.404539 kcal Electronic energy + Delta-G solvation = -30424.731036 eV Core-core repulsion = 26231.919755 eV Total energy + Delta-G solvation = -4192.811281 eV No. of doubly occupied orbitals = 68 Molecular weight (most abundant/longest-lived isotopes) = 359.206 amu Computer time = 1.27 seconds Orbital eigenvalues (eV) -41.43946 -39.68190 -38.58789 -37.37131 -36.44320 -33.93479 -33.15160 -31.77047 -31.40500 -31.27592 -30.11782 -29.12929 -27.79495 -25.53519 -23.98072 -23.20915 -22.98352 -22.60459 -22.31965 -21.79082 -20.31093 -20.02895 -17.89353 -17.56924 -17.10613 -17.06486 -16.44737 -16.34981 -15.99534 -15.33556 -15.13387 -14.95113 -14.85786 -14.42402 -14.22601 -14.17925 -13.88875 -13.71881 -13.61327 -13.42641 -13.07380 -12.75848 -12.65874 -12.45686 -12.19486 -12.00479 -11.96399 -11.78359 -11.62124 -11.42662 -11.24633 -11.06169 -11.02005 -10.95850 -10.84778 -10.76949 -10.69678 -10.26229 -10.13953 -9.80429 -9.68747 -9.30845 -8.73899 -8.72270 -8.26443 -7.67468 -6.21511 -4.24119 1.25948 1.89242 2.77095 2.91727 3.00487 3.21790 3.27454 3.29238 3.34806 4.19623 4.22958 4.26894 4.34304 4.41230 4.52501 4.55707 4.62010 4.67238 4.68899 4.71719 4.79758 4.88759 4.96121 4.97841 4.98735 5.05688 5.09664 5.10246 5.15387 5.19184 5.32890 5.37095 5.45398 5.51994 5.52408 5.62435 5.65366 5.66348 5.70534 5.75504 5.80186 5.82168 5.90539 6.24715 6.50367 6.53544 6.83611 6.86673 6.90201 7.18813 7.31512 7.42157 7.81135 8.12423 8.31715 8.75114 8.80934 9.33306 10.91264 Molecular weight = 359.21amu Principal moments of inertia in cm(-1) A = 0.030272 B = 0.001374 C = 0.001362 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 924.728327 B =20375.254293 C =20554.323587 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 N -0.888 5.888 2 C 0.080 3.920 3 Si 0.874 3.126 4 H -0.270 1.270 5 H -0.280 1.280 6 H -0.264 1.264 7 C -0.538 4.538 8 H 0.078 0.922 9 C 0.237 3.763 10 N -0.332 5.332 11 N -0.241 5.241 12 C 0.073 3.927 13 C -0.336 4.336 14 C 0.367 3.633 15 N -0.557 5.557 16 C 0.369 3.631 17 N -0.617 5.617 18 C 0.510 3.490 19 N -0.706 5.706 20 C 0.135 3.865 21 C -0.133 4.133 22 C 0.068 3.932 23 O -0.383 6.383 24 C 0.092 3.908 25 C -0.142 4.142 26 C -0.118 4.118 27 C -0.123 4.123 28 C -0.117 4.117 29 C -0.117 4.117 30 H 0.268 0.732 31 H 0.052 0.948 32 H 0.052 0.948 33 H 0.185 0.815 34 H 0.196 0.804 35 H 0.410 0.590 36 H 0.070 0.930 37 H 0.069 0.931 38 H 0.077 0.923 39 H 0.078 0.922 40 H 0.052 0.948 41 H 0.052 0.948 42 H 0.060 0.940 43 H 0.071 0.929 44 H 0.064 0.936 45 H 0.062 0.938 46 H 0.065 0.935 47 H 0.063 0.937 48 H 0.064 0.936 49 H 0.063 0.937 50 H 0.067 0.933 51 H 0.068 0.932 52 H 0.071 0.929 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 18.521 -28.763 -7.526 35.028 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 N -0.525 5.525 2 C -0.124 4.124 3 Si 0.700 3.300 4 H -0.195 1.195 5 H -0.205 1.205 6 H -0.189 1.189 7 C -0.577 4.577 8 H 0.096 0.904 9 C 0.118 3.882 10 N -0.118 5.118 11 N -0.056 5.056 12 C -0.122 4.122 13 C -0.354 4.354 14 C 0.119 3.881 15 N -0.282 5.282 16 C 0.076 3.924 17 N -0.348 5.348 18 C 0.258 3.742 19 N -0.340 5.340 20 C 0.011 3.989 21 C -0.171 4.171 22 C -0.009 4.009 23 O -0.302 6.302 24 C 0.034 3.966 25 C -0.180 4.180 26 C -0.156 4.156 27 C -0.161 4.161 28 C -0.155 4.155 29 C -0.154 4.154 30 H 0.079 0.921 31 H 0.069 0.931 32 H 0.069 0.931 33 H 0.202 0.798 34 H 0.212 0.788 35 H 0.247 0.753 36 H 0.088 0.912 37 H 0.087 0.913 38 H 0.096 0.904 39 H 0.097 0.903 40 H 0.071 0.929 41 H 0.071 0.929 42 H 0.078 0.922 43 H 0.089 0.911 44 H 0.083 0.917 45 H 0.081 0.919 46 H 0.084 0.916 47 H 0.082 0.918 48 H 0.082 0.918 49 H 0.082 0.918 50 H 0.086 0.914 51 H 0.087 0.913 52 H 0.089 0.911 Dipole moment (debyes) X Y Z Total from point charges 17.946 -27.498 -7.314 33.641 hybrid contribution 0.330 0.206 0.243 0.459 sum 18.276 -27.292 -7.071 33.599 Atomic orbital electron populations 1.69870 1.06171 1.27368 1.49084 1.24763 0.94827 0.98813 0.93974 0.86876 0.80349 0.83622 0.79114 1.19489 1.20517 1.18869 1.21115 0.87909 0.95483 1.53169 0.90408 1.20085 0.96663 0.72500 0.98905 1.48953 1.50636 1.13131 0.99120 1.76947 1.16164 1.03615 1.08874 1.23404 1.00213 0.96254 0.92365 1.19588 1.22174 0.98306 0.95355 1.18896 0.92392 0.88337 0.88465 1.67510 1.24917 1.35807 0.99926 1.24425 0.86694 0.82121 0.99189 1.67949 1.28754 1.23599 1.14520 1.17876 0.84190 0.83950 0.88192 1.44236 1.70342 1.10165 1.09212 1.21119 1.00778 0.86258 0.90752 1.21696 1.02822 0.93675 0.98882 1.22343 0.98774 0.84974 0.94858 1.87890 1.86104 1.22417 1.33819 1.22100 0.94341 0.87556 0.92613 1.22049 0.98094 0.97505 1.00360 1.21503 0.98880 0.96826 0.98355 1.21586 0.95619 0.97940 1.00919 1.21514 0.97773 0.96747 0.99452 1.21592 0.98001 0.96551 0.99276 0.92148 0.93057 0.93071 0.79842 0.78751 0.75315 0.91203 0.91258 0.90390 0.90344 0.92935 0.92946 0.92211 0.91062 0.91730 0.91913 0.91614 0.91835 0.91756 0.91840 0.91392 0.91304 0.91068 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 N -0.89 -27.13 13.96 55.43 0.77 -26.36 16 2 C 0.08 2.32 5.47 -17.82 -0.10 2.22 16 3 Si 0.87 20.94 27.47 -169.99 -4.67 16.27 16 4 H -0.27 -6.33 7.11 56.52 0.40 -5.93 16 5 H -0.28 -6.59 7.11 56.52 0.40 -6.19 16 6 H -0.26 -6.01 6.54 56.52 0.37 -5.64 16 7 C -0.54 -15.74 9.94 -34.44 -0.34 -16.08 16 8 H 0.08 2.56 8.06 -52.48 -0.42 2.13 16 9 C 0.24 5.98 5.26 -5.19 -0.03 5.96 16 10 N -0.33 -7.83 3.63 -61.64 -0.22 -8.05 16 11 N -0.24 -5.08 12.45 30.80 0.38 -4.70 16 12 C 0.07 1.22 11.87 -17.11 -0.20 1.01 16 13 C -0.34 -6.04 6.14 -106.82 -0.66 -6.69 16 14 C 0.37 8.00 8.04 -156.24 -1.26 6.75 16 15 N -0.56 -11.57 10.47 -13.97 -0.15 -11.71 16 16 C 0.37 6.10 12.24 -92.11 -1.13 4.98 16 17 N -0.62 -9.65 9.69 -13.62 -0.13 -9.78 16 18 C 0.51 7.74 7.55 -154.85 -1.17 6.57 16 19 N -0.71 -7.53 5.68 -60.09 -0.34 -7.87 16 20 C 0.14 1.16 5.73 -4.04 -0.02 1.13 16 21 C -0.13 -0.90 5.70 -26.73 -0.15 -1.06 16 22 C 0.07 0.46 5.75 37.16 0.21 0.67 16 23 O -0.38 -3.15 9.99 -35.23 -0.35 -3.50 16 24 C 0.09 0.59 2.61 -26.73 -0.07 0.52 16 25 C -0.14 -0.85 5.54 -26.73 -0.15 -0.99 16 26 C -0.12 -0.56 5.92 -26.73 -0.16 -0.72 16 27 C -0.12 -0.54 5.92 -26.73 -0.16 -0.69 16 28 C -0.12 -0.52 5.92 -26.73 -0.16 -0.68 16 29 C -0.12 -0.67 5.57 -26.73 -0.15 -0.82 16 30 H 0.27 7.59 8.31 -40.82 -0.34 7.25 16 31 H 0.05 1.26 7.20 -51.93 -0.37 0.89 16 32 H 0.05 1.27 7.57 -51.93 -0.39 0.87 16 33 H 0.18 2.05 8.06 -52.49 -0.42 1.63 16 34 H 0.20 2.40 8.06 -52.49 -0.42 1.98 16 35 H 0.41 3.47 8.34 -40.82 -0.34 3.13 16 36 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 37 H 0.07 0.62 8.14 -51.93 -0.42 0.19 16 38 H 0.08 0.52 8.14 -51.93 -0.42 0.10 16 39 H 0.08 0.55 8.14 -51.93 -0.42 0.13 16 40 H 0.05 0.33 7.87 -51.93 -0.41 -0.08 16 41 H 0.05 0.32 8.08 -51.93 -0.42 -0.10 16 42 H 0.06 0.36 7.79 -51.93 -0.40 -0.05 16 43 H 0.07 0.47 8.14 -51.93 -0.42 0.05 16 44 H 0.06 0.39 7.87 -51.93 -0.41 -0.02 16 45 H 0.06 0.28 8.14 -51.93 -0.42 -0.14 16 46 H 0.07 0.29 8.14 -51.93 -0.42 -0.13 16 47 H 0.06 0.24 8.14 -51.93 -0.42 -0.19 16 48 H 0.06 0.29 8.14 -51.93 -0.42 -0.13 16 49 H 0.06 0.27 8.14 -51.93 -0.42 -0.16 16 50 H 0.07 0.26 8.14 -51.93 -0.42 -0.16 16 51 H 0.07 0.40 8.14 -51.93 -0.42 -0.02 16 52 H 0.07 0.45 8.14 -51.93 -0.42 0.02 16 LS Contribution 422.33 15.07 6.36 6.36 Total: -1.00 -34.88 422.33 -12.71 -47.59 By element: Atomic # 1 Polarization: 8.34 SS G_CDS: -8.68 Total: -0.34 kcal Atomic # 6 Polarization: 7.77 SS G_CDS: -5.68 Total: 2.09 kcal Atomic # 7 Polarization: -68.79 SS G_CDS: 0.31 Total: -68.47 kcal Atomic # 8 Polarization: -3.15 SS G_CDS: -0.35 Total: -3.50 kcal Atomic # 14 Polarization: 20.94 SS G_CDS: -4.67 Total: 16.27 kcal Total LS contribution 6.36 Total: 6.36 kcal Total: -34.88 -12.71 -47.59 kcal The number of atoms in the molecule is 52 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. ZINC000097200072.mol2 52 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 92.995 kcal (2) G-P(sol) polarization free energy of solvation -34.884 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 58.111 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -12.707 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -47.590 kcal (6) G-S(sol) free energy of system = (1) + (5) 45.405 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.27 seconds