Wall clock time and date at job start Sat Apr 11 2020 06:13:18 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 1.52999 * 1 3 3 H 1.08998 * 109.47022 * 2 1 4 4 C 1.53003 * 109.47177 * 239.99876 * 2 1 3 5 5 N 1.46500 * 109.46812 * 177.65447 * 4 2 1 6 6 C 1.46503 * 119.99714 * 276.65034 * 5 4 2 7 7 C 1.34770 * 120.00353 * 96.65450 * 5 4 2 8 8 O 1.21277 * 119.99714 * 3.74276 * 7 5 4 9 9 C 1.50700 * 120.00045 * 183.74596 * 7 5 4 10 10 H 1.08998 * 110.35507 * 330.44245 * 9 7 5 11 11 C 1.54599 * 110.30793 * 208.29805 * 9 7 5 12 12 C 1.54935 * 102.92195 * 219.12750 * 11 9 7 13 13 N 1.48540 * 103.22816 * 37.41487 * 12 11 9 14 14 C 1.46899 * 111.00046 * 200.27968 * 13 12 11 15 15 C 1.47899 * 105.81853 * 320.79218 * 13 12 11 16 16 H 1.08993 * 109.92268 * 265.97812 * 15 13 12 17 17 C 1.53001 * 109.91559 * 144.68163 * 15 13 12 18 18 N 1.46905 * 109.46953 * 119.99827 * 2 1 3 19 19 C 1.46900 * 110.99877 * 275.82222 * 18 2 1 20 20 C 1.50698 * 109.46696 * 180.02562 * 19 18 2 21 21 O 1.21290 * 120.00690 * 359.97438 * 20 19 18 22 22 N 1.34782 * 119.99599 * 180.02562 * 20 19 18 23 23 C 1.37100 * 119.99753 * 179.97438 * 22 20 19 24 24 H 1.08003 * 120.00237 * 0.02562 * 23 22 20 25 25 C 1.38949 * 119.99998 * 179.97438 * 23 22 20 26 26 N 1.31415 * 119.99954 * 359.97438 * 25 23 22 27 27 Si 1.86802 * 119.99991 * 180.02562 * 25 23 22 28 28 H 1.48498 * 109.47174 * 59.99828 * 27 25 23 29 29 H 1.48498 * 109.47145 * 180.02562 * 27 25 23 30 30 H 1.48500 * 109.46959 * 299.99572 * 27 25 23 31 31 H 1.08999 * 109.47435 * 300.00015 * 1 2 3 32 32 H 1.09001 * 109.46950 * 60.00035 * 1 2 3 33 33 H 1.09005 * 109.47113 * 180.02562 * 1 2 3 34 34 H 1.09001 * 109.46606 * 57.65193 * 4 2 1 35 35 H 1.08996 * 109.46805 * 297.65269 * 4 2 1 36 36 H 1.09004 * 109.47354 * 270.00389 * 6 5 4 37 37 H 1.09004 * 109.47480 * 30.00068 * 6 5 4 38 38 H 1.09000 * 109.47459 * 150.00363 * 6 5 4 39 39 H 1.08999 * 110.72178 * 100.76661 * 11 9 7 40 40 H 1.09000 * 110.72514 * 337.48529 * 11 9 7 41 41 H 1.08998 * 110.66408 * 278.98264 * 12 11 9 42 42 H 1.08998 * 110.66740 * 155.85200 * 12 11 9 43 43 H 1.09005 * 109.47022 * 59.87478 * 14 13 12 44 44 H 1.09000 * 109.46588 * 179.87400 * 14 13 12 45 45 H 1.08998 * 109.47108 * 299.87550 * 14 13 12 46 46 H 1.08999 * 109.47249 * 60.87405 * 17 15 13 47 47 H 1.09003 * 109.46992 * 180.87274 * 17 15 13 48 48 H 1.08994 * 109.47200 * 300.86945 * 17 15 13 49 49 H 1.00900 * 111.00029 * 151.87140 * 18 2 1 50 50 H 1.08991 * 109.47348 * 300.00208 * 19 18 2 51 51 H 1.09005 * 109.47139 * 60.00213 * 19 18 2 52 52 H 0.96992 * 120.00471 * 0.02562 * 22 20 19 53 53 H 0.97001 * 119.99524 * 180.02562 * 26 25 23 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 -0.7213 -1.2492 5 7 3.5039 -0.6725 -1.2778 6 6 4.1871 0.5090 -1.8103 7 6 4.2221 -1.7144 -0.8142 8 8 3.6581 -2.7194 -0.4365 9 6 5.7260 -1.6306 -0.7652 10 1 6.0953 -0.9771 -1.5555 11 6 6.3466 -3.0401 -0.9005 12 6 7.5330 -2.9933 0.0949 13 7 6.9964 -2.1938 1.2259 14 6 8.0849 -1.6352 2.0389 15 6 6.1881 -1.1182 0.6116 16 1 6.7951 -0.2213 0.4892 17 6 4.9725 -0.8137 1.4893 18 7 2.0196 -0.6925 1.1995 19 6 2.0639 0.2178 2.3516 20 6 2.5705 -0.5262 3.5603 21 8 2.8651 -1.6994 3.4710 22 7 2.6951 0.1119 4.7410 23 6 3.1555 -0.5651 5.8407 24 1 3.4186 -1.6095 5.7609 25 6 3.2845 0.0928 7.0578 26 7 2.9657 1.3641 7.1546 27 14 3.9124 -0.8294 8.5560 28 1 5.2766 -1.3481 8.2822 29 1 3.9566 0.0906 9.7209 30 1 3.0024 -1.9638 8.8562 31 1 -0.3634 0.5138 0.8900 32 1 -0.3633 0.5138 -0.8900 33 1 -0.3633 -1.0277 0.0005 34 1 1.6427 -0.2323 -2.1387 35 1 1.7114 -1.7603 -1.2284 36 1 4.3523 0.3819 -2.8802 37 1 3.5715 1.3923 -1.6402 38 1 5.1460 0.6321 -1.3068 39 1 6.7023 -3.2089 -1.9169 40 1 5.6289 -3.8071 -0.6095 41 1 8.3925 -2.4958 -0.3542 42 1 7.7977 -3.9977 0.4253 43 1 8.7085 -0.9916 1.4184 44 1 7.6641 -1.0527 2.8585 45 1 8.6898 -2.4469 2.4431 46 1 5.3078 -0.4778 2.4705 47 1 4.3740 -0.0314 1.0224 48 1 4.3696 -1.7149 1.6003 49 1 2.9234 -1.1091 1.0329 50 1 2.7320 1.0503 2.1315 51 1 1.0626 0.5988 2.5524 52 1 2.4585 1.0497 4.8128 53 1 3.0562 1.8234 8.0041 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 ZINC001755587895.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 06:13:18 Heat of formation + Delta-G solvation = -44.958005 kcal Electronic energy + Delta-G solvation = -32925.083240 eV Core-core repulsion = 28832.464207 eV Total energy + Delta-G solvation = -4092.619033 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.68 seconds Orbital eigenvalues (eV) -40.94836 -38.59407 -38.08795 -36.59010 -34.93790 -33.77999 -32.50099 -31.61085 -31.15313 -30.46958 -27.85480 -26.90727 -26.27595 -25.43831 -24.85396 -23.87636 -21.78675 -20.88981 -20.30511 -19.15493 -18.62307 -17.79655 -17.30716 -16.57601 -16.28587 -15.94498 -15.50707 -15.20443 -14.97379 -14.52352 -14.43652 -14.36517 -13.82096 -13.66876 -13.62341 -13.34850 -13.02924 -12.77992 -12.68986 -12.53885 -12.41238 -12.20639 -12.08723 -11.84947 -11.72481 -11.64521 -11.59298 -11.44046 -11.35068 -11.27644 -11.05261 -11.00525 -10.88182 -10.71819 -10.58946 -10.37447 -10.11944 -9.64357 -9.38354 -8.74485 -8.39897 -8.24998 -7.88781 -7.83512 -6.32682 -3.72433 2.60703 2.87229 3.26493 3.30862 3.36443 3.91951 4.02656 4.18315 4.30469 4.44808 4.47657 4.62930 4.82330 4.88840 5.01261 5.10161 5.12600 5.16910 5.23232 5.30018 5.32868 5.33245 5.34646 5.42105 5.44402 5.45294 5.51468 5.63491 5.74776 5.77760 5.79965 5.83203 5.86158 5.93064 5.99061 6.08306 6.11043 6.17019 6.26454 6.31307 6.39337 6.50537 6.74069 6.97197 7.07120 7.24678 7.42459 7.64330 7.94255 8.16886 8.20573 8.72726 9.28475 9.65154 10.18218 10.85385 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.009930 B = 0.004291 C = 0.003254 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2819.131597 B = 6523.325482 C = 8603.053887 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.138 4.138 2 C 0.065 3.935 3 H 0.038 0.962 4 C 0.109 3.891 5 N -0.627 5.627 6 C 0.075 3.925 7 C 0.524 3.476 8 O -0.507 6.507 9 C -0.121 4.121 10 H 0.092 0.908 11 C -0.112 4.112 12 C 0.036 3.964 13 N -0.508 5.508 14 C 0.017 3.983 15 C 0.082 3.918 16 H 0.055 0.945 17 C -0.158 4.158 18 N -0.671 5.671 19 C 0.048 3.952 20 C 0.443 3.557 21 O -0.568 6.568 22 N -0.568 5.568 23 C -0.293 4.293 24 H 0.102 0.898 25 C 0.021 3.979 26 N -0.906 5.906 27 Si 0.928 3.072 28 H -0.274 1.274 29 H -0.286 1.286 30 H -0.274 1.274 31 H 0.058 0.942 32 H 0.052 0.948 33 H 0.065 0.935 34 H 0.080 0.920 35 H 0.098 0.902 36 H 0.057 0.943 37 H 0.072 0.928 38 H 0.071 0.929 39 H 0.073 0.927 40 H 0.098 0.902 41 H 0.042 0.958 42 H 0.086 0.914 43 H 0.024 0.976 44 H 0.074 0.926 45 H 0.070 0.930 46 H 0.066 0.934 47 H 0.047 0.953 48 H 0.100 0.900 49 H 0.363 0.637 50 H 0.035 0.965 51 H 0.083 0.917 52 H 0.390 0.610 53 H 0.270 0.730 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.029 2.301 -20.838 21.815 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 -0.197 4.197 2 C -0.046 4.046 3 H 0.056 0.944 4 C -0.014 4.014 5 N -0.362 5.362 6 C -0.068 4.068 7 C 0.312 3.688 8 O -0.381 6.381 9 C -0.143 4.143 10 H 0.110 0.890 11 C -0.150 4.150 12 C -0.092 4.092 13 N -0.232 5.232 14 C -0.132 4.132 15 C -0.027 4.027 16 H 0.073 0.927 17 C -0.215 4.215 18 N -0.313 5.313 19 C -0.085 4.085 20 C 0.228 3.772 21 O -0.451 6.451 22 N -0.206 5.206 23 C -0.423 4.423 24 H 0.120 0.880 25 C -0.180 4.180 26 N -0.548 5.548 27 Si 0.755 3.245 28 H -0.200 1.200 29 H -0.211 1.211 30 H -0.199 1.199 31 H 0.077 0.923 32 H 0.071 0.929 33 H 0.084 0.916 34 H 0.098 0.902 35 H 0.117 0.883 36 H 0.076 0.924 37 H 0.091 0.909 38 H 0.090 0.910 39 H 0.091 0.909 40 H 0.116 0.884 41 H 0.060 0.940 42 H 0.104 0.896 43 H 0.042 0.958 44 H 0.093 0.907 45 H 0.089 0.911 46 H 0.085 0.915 47 H 0.066 0.934 48 H 0.119 0.881 49 H 0.192 0.808 50 H 0.053 0.947 51 H 0.101 0.899 52 H 0.223 0.777 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 5.050 0.478 -20.010 20.643 hybrid contribution 1.456 1.714 0.191 2.257 sum 6.506 2.192 -19.819 20.975 Atomic orbital electron populations 1.21748 0.94090 1.02722 1.01112 1.21927 0.96362 0.95728 0.90607 0.94364 1.21764 0.78730 1.03715 0.97184 1.47942 1.06808 1.17804 1.63684 1.21823 0.98237 0.87998 0.98743 1.20336 0.89390 0.82713 0.76346 1.90786 1.71842 1.30022 1.45405 1.22347 0.92742 1.00094 0.99135 0.88964 1.22531 0.97810 0.95785 0.98896 1.23243 0.95673 0.99244 0.91024 1.64678 1.19964 1.19570 1.18968 1.22538 0.93101 0.99508 0.98027 1.22270 0.96022 0.93002 0.91370 0.92697 1.22322 0.96534 1.03008 0.99680 1.60358 1.36841 1.32018 1.02032 1.21741 1.00906 0.93951 0.91878 1.19783 0.84778 0.88300 0.84293 1.90568 1.53931 1.16026 1.84577 1.41845 1.58286 1.12676 1.07745 1.19650 1.39360 0.96690 0.86572 0.88001 1.25213 0.97917 0.95770 0.99095 1.69612 1.49121 1.09155 1.26882 0.85958 0.79453 0.78861 0.80194 1.19981 1.21105 1.19939 0.92274 0.92925 0.91630 0.90177 0.88331 0.92427 0.90897 0.91019 0.90879 0.88384 0.93950 0.89585 0.95772 0.90714 0.91101 0.91474 0.93376 0.88124 0.80849 0.94723 0.89918 0.77704 0.92026 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.14 -1.66 9.41 37.16 0.35 -1.31 16 2 C 0.07 0.88 2.88 -67.71 -0.20 0.69 16 3 H 0.04 0.48 7.72 -51.93 -0.40 0.08 16 4 C 0.11 1.29 5.14 -4.04 -0.02 1.27 16 5 N -0.63 -7.32 2.19 -181.57 -0.40 -7.71 16 6 C 0.08 0.58 9.93 59.85 0.59 1.18 16 7 C 0.52 7.56 3.81 -10.99 -0.04 7.52 16 8 O -0.51 -9.52 13.60 5.56 0.08 -9.44 16 9 C -0.12 -1.45 2.47 -90.41 -0.22 -1.68 16 10 H 0.09 0.82 6.50 -51.93 -0.34 0.48 16 11 C -0.11 -1.31 6.55 -24.87 -0.16 -1.47 16 12 C 0.04 0.41 6.56 -1.90 -0.01 0.40 16 13 N -0.51 -7.36 5.18 -230.78 -1.20 -8.56 16 14 C 0.02 0.21 9.41 60.06 0.57 0.78 16 15 C 0.08 1.14 2.95 -66.64 -0.20 0.94 16 16 H 0.06 0.66 7.69 -51.93 -0.40 0.26 16 17 C -0.16 -2.79 5.56 37.16 0.21 -2.59 16 18 N -0.67 -12.32 5.74 -107.99 -0.62 -12.94 16 19 C 0.05 0.93 5.10 -4.98 -0.03 0.90 16 20 C 0.44 10.94 6.98 -10.98 -0.08 10.86 16 21 O -0.57 -16.09 14.28 5.55 0.08 -16.01 16 22 N -0.57 -14.84 5.29 -10.96 -0.06 -14.90 16 23 C -0.29 -8.38 9.68 -14.93 -0.14 -8.52 16 24 H 0.10 3.08 7.16 -52.48 -0.38 2.70 16 25 C 0.02 0.57 5.50 -17.47 -0.10 0.48 16 26 N -0.91 -25.11 13.05 55.50 0.72 -24.39 16 27 Si 0.93 21.68 29.55 -169.99 -5.02 16.66 16 28 H -0.27 -6.36 7.11 56.52 0.40 -5.96 16 29 H -0.29 -6.49 7.11 56.52 0.40 -6.09 16 30 H -0.27 -6.40 7.11 56.52 0.40 -6.00 16 31 H 0.06 0.75 7.40 -51.93 -0.38 0.37 16 32 H 0.05 0.48 8.14 -51.93 -0.42 0.06 16 33 H 0.06 0.85 8.14 -51.93 -0.42 0.43 16 34 H 0.08 0.69 8.12 -51.93 -0.42 0.26 16 35 H 0.10 1.40 7.19 -51.93 -0.37 1.03 16 36 H 0.06 0.33 8.14 -51.93 -0.42 -0.09 16 37 H 0.07 0.49 7.98 -51.93 -0.41 0.07 16 38 H 0.07 0.53 6.24 -51.93 -0.32 0.20 16 39 H 0.07 0.65 8.14 -51.93 -0.42 0.23 16 40 H 0.10 1.42 6.88 -51.93 -0.36 1.06 16 41 H 0.04 0.40 8.00 -51.93 -0.42 -0.01 16 42 H 0.09 0.95 8.14 -51.93 -0.42 0.52 16 43 H 0.02 0.26 7.99 -51.93 -0.42 -0.16 16 44 H 0.07 1.06 8.14 -51.93 -0.42 0.63 16 45 H 0.07 0.82 8.14 -51.93 -0.42 0.40 16 46 H 0.07 1.34 8.14 -51.93 -0.42 0.92 16 47 H 0.05 0.78 5.40 -51.93 -0.28 0.50 16 48 H 0.10 2.21 4.47 -51.93 -0.23 1.98 16 49 H 0.36 6.94 1.32 -39.29 -0.05 6.89 16 50 H 0.03 0.61 7.71 -51.93 -0.40 0.21 16 51 H 0.08 1.49 7.38 -51.93 -0.38 1.10 16 52 H 0.39 9.79 7.90 -40.82 -0.32 9.47 16 53 H 0.27 7.12 8.31 -40.82 -0.34 6.78 16 LS Contribution 398.61 15.07 6.01 6.01 Total: -1.00 -34.82 398.61 -8.70 -43.52 By element: Atomic # 1 Polarization: 27.14 SS G_CDS: -8.81 Total: 18.33 kcal Atomic # 6 Polarization: 8.92 SS G_CDS: 0.52 Total: 9.44 kcal Atomic # 7 Polarization: -66.96 SS G_CDS: -1.55 Total: -68.50 kcal Atomic # 8 Polarization: -25.61 SS G_CDS: 0.15 Total: -25.45 kcal Atomic # 14 Polarization: 21.68 SS G_CDS: -5.02 Total: 16.66 kcal Total LS contribution 6.01 Total: 6.01 kcal Total: -34.82 -8.70 -43.52 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. ZINC001755587895.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 -1.442 kcal (2) G-P(sol) polarization free energy of solvation -34.820 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -36.263 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.695 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.516 kcal (6) G-S(sol) free energy of system = (1) + (5) -44.958 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.68 seconds