Wall clock time and date at job start Sat Apr 11 2020 06:11:50 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 O 1.42901 * 1 3 3 C 1.42900 * 113.99490 * 2 1 4 4 H 1.08997 * 109.47437 * 30.00037 * 3 2 1 5 5 C 1.50700 * 109.47134 * 269.99678 * 3 2 1 6 6 O 1.21279 * 119.99912 * 355.00926 * 5 3 2 7 7 N 1.34779 * 119.99900 * 174.99904 * 5 3 2 8 8 C 1.46501 * 119.99765 * 180.02562 * 7 5 3 9 9 C 1.53004 * 109.47159 * 180.02562 * 8 7 5 10 10 O 1.42901 * 110.77937 * 298.21613 * 9 8 7 11 11 C 1.55156 * 110.72207 * 174.97126 * 9 8 7 12 12 C 1.54908 * 101.58197 * 206.13348 * 11 9 8 13 13 N 1.47422 * 104.83357 * 37.01425 * 12 11 9 14 14 C 1.36938 * 125.64968 * 155.89174 * 13 12 11 15 15 H 1.07998 * 119.99809 * 179.97438 * 14 13 12 16 16 C 1.38806 * 119.99771 * 359.97251 * 14 13 12 17 17 N 1.31620 * 120.00223 * 0.02562 * 16 14 13 18 18 Si 1.86801 * 119.99586 * 180.02562 * 16 14 13 19 19 H 1.48498 * 109.47460 * 59.99975 * 18 16 14 20 20 H 1.48505 * 109.47090 * 180.02562 * 18 16 14 21 21 H 1.48503 * 109.47333 * 299.99702 * 18 16 14 22 22 C 1.47031 * 108.70136 * 335.86884 * 13 12 11 23 23 C 1.53007 * 109.47216 * 150.00255 * 3 2 1 24 24 C 1.52997 * 109.47108 * 59.99537 * 23 3 2 25 25 C 1.52998 * 109.47081 * 180.02562 * 24 23 3 26 26 C 1.52995 * 109.47271 * 60.00272 * 25 24 23 27 27 C 1.53007 * 109.46851 * 299.99757 * 26 25 24 28 28 C 1.52997 * 109.47037 * 60.00460 * 27 26 25 29 29 H 1.08997 * 109.46915 * 299.99460 * 1 2 3 30 30 H 1.08997 * 109.47455 * 60.00354 * 1 2 3 31 31 H 1.09005 * 109.46511 * 180.02562 * 1 2 3 32 32 H 0.96995 * 120.00220 * 0.02562 * 7 5 3 33 33 H 1.08993 * 109.47638 * 60.00210 * 8 7 5 34 34 H 1.09009 * 109.46891 * 299.99959 * 8 7 5 35 35 H 0.96700 * 113.99903 * 61.77942 * 10 9 8 36 36 H 1.08999 * 111.00338 * 324.21288 * 11 9 8 37 37 H 1.09003 * 110.99778 * 88.06071 * 11 9 8 38 38 H 1.09000 * 110.36459 * 155.84880 * 12 11 9 39 39 H 1.08998 * 110.36772 * 278.17049 * 12 11 9 40 40 H 0.97000 * 119.99734 * 179.97438 * 17 16 14 41 41 H 1.08998 * 109.88059 * 241.64343 * 22 13 12 42 42 H 1.08994 * 109.87878 * 120.47623 * 22 13 12 43 43 H 1.08995 * 109.47115 * 180.02562 * 23 3 2 44 44 H 1.08999 * 109.47394 * 300.00730 * 24 23 3 45 45 H 1.08996 * 109.47031 * 60.00470 * 24 23 3 46 46 H 1.09006 * 109.47080 * 300.00047 * 25 24 23 47 47 H 1.09001 * 109.47510 * 180.02562 * 25 24 23 48 48 H 1.08999 * 109.46995 * 180.02562 * 26 25 24 49 49 H 1.08989 * 109.47415 * 59.99969 * 26 25 24 50 50 H 1.08994 * 109.47054 * 299.99853 * 27 26 25 51 51 H 1.09005 * 109.46928 * 179.97438 * 27 26 25 52 52 H 1.08997 * 109.47120 * 179.97438 * 28 27 26 53 53 H 1.08999 * 109.47549 * 59.99345 * 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 8 1.4290 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 1 1.3449 1.9994 0.5138 5 6 2.2145 1.7644 -1.4208 6 8 1.9790 1.0106 -2.3413 7 7 2.6587 3.0125 -1.6686 8 6 2.8568 3.4588 -3.0498 9 6 3.3627 4.9028 -3.0517 10 8 2.4030 5.7770 -2.4544 11 6 3.7026 5.3635 -4.4937 12 6 4.7661 6.4581 -4.2279 13 7 5.5506 5.9529 -3.0866 14 6 6.8383 6.3070 -2.7841 15 1 7.3276 5.8790 -1.9217 16 6 7.5147 7.2159 -3.5860 17 7 6.9182 7.7378 -4.6368 18 14 9.2716 7.6984 -3.1737 19 1 10.1347 6.4901 -3.1943 20 1 9.7646 8.6766 -4.1764 21 1 9.3122 8.3126 -1.8223 22 6 4.7211 5.0062 -2.3266 23 6 3.3589 1.2634 0.7212 24 6 4.2927 0.2894 0.0000 25 6 5.6412 0.2469 0.7216 26 6 5.4334 -0.2193 2.1638 27 6 4.4995 0.7547 2.8851 28 6 3.1510 0.7972 2.1636 29 1 -0.3633 0.5137 0.8900 30 1 -0.3634 0.5138 -0.8900 31 1 -0.3632 -1.0278 0.0005 32 1 2.8472 3.6153 -0.9324 33 1 1.9109 3.4042 -3.5885 34 1 3.5903 2.8165 -3.5375 35 1 2.2136 5.5785 -1.5272 36 1 4.1226 4.5441 -5.0769 37 1 2.8254 5.7826 -4.9868 38 1 5.4058 6.5854 -5.1012 39 1 4.2838 7.4007 -3.9693 40 1 7.3909 8.3733 -5.1969 41 1 4.5725 5.3755 -1.3118 42 1 5.2030 4.0290 -2.3009 43 1 3.8019 2.2593 0.7216 44 1 3.8494 -0.7063 -0.0001 45 1 4.4405 0.6214 -1.0276 46 1 6.0847 1.2427 0.7219 47 1 6.3067 -0.4466 0.2075 48 1 6.3940 -0.2492 2.6780 49 1 4.9900 -1.2149 2.1636 50 1 4.9430 1.7504 2.8855 51 1 4.3511 0.4223 3.9126 52 1 2.4856 1.4908 2.6777 53 1 2.7076 -0.1985 2.1632 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 ZINC001325169934.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 06:11:50 Heat of formation + Delta-G solvation = -124.296011 kcal Electronic energy + Delta-G solvation = -31882.312673 eV Core-core repulsion = 27753.960535 eV Total energy + Delta-G solvation = -4128.352138 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.93 seconds Orbital eigenvalues (eV) -40.60483 -39.02567 -38.11273 -37.15138 -35.15558 -34.20772 -32.40480 -31.99171 -30.90813 -29.65954 -28.47626 -27.38220 -26.30935 -25.35071 -23.51222 -22.82306 -22.07127 -20.72450 -20.06650 -19.91542 -19.79591 -17.92703 -17.04407 -16.86157 -16.41545 -16.13413 -15.50499 -15.05274 -14.87263 -14.76839 -14.63170 -14.31373 -14.22710 -14.05685 -13.86306 -13.66575 -13.33846 -13.18995 -12.92807 -12.45704 -12.36662 -12.23328 -12.13903 -12.07513 -11.60825 -11.56245 -11.27685 -11.24177 -11.06146 -10.88343 -10.78991 -10.75024 -10.62288 -10.38379 -10.35123 -10.20142 -10.19739 -10.01995 -9.74451 -9.50715 -9.26148 -9.09613 -8.67379 -6.88737 -5.68586 -3.11203 2.52789 2.96013 3.38272 3.42369 3.43970 3.55553 4.34691 4.35652 4.42538 4.44617 4.54942 4.65618 4.77314 4.89051 4.98941 5.07380 5.08640 5.16167 5.19268 5.23234 5.32182 5.35724 5.38339 5.41155 5.45380 5.47204 5.47554 5.60927 5.69241 5.85579 5.86280 5.95586 5.97004 5.98978 6.04765 6.10133 6.17634 6.21205 6.30409 6.36028 6.38236 6.46816 6.57358 6.60050 6.76167 7.39223 7.53096 7.57912 7.81479 7.89443 8.15185 8.31776 9.17599 9.78124 10.42303 11.35063 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011704 B = 0.003241 C = 0.002689 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2391.843306 B = 8636.879287 C =10410.269300 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.029 3.971 2 O -0.351 6.351 3 C 0.078 3.922 4 H 0.084 0.916 5 C 0.492 3.508 6 O -0.526 6.526 7 N -0.725 5.725 8 C 0.106 3.894 9 C 0.105 3.895 10 O -0.543 6.543 11 C -0.128 4.128 12 C 0.156 3.844 13 N -0.599 5.599 14 C -0.227 4.227 15 H 0.076 0.924 16 C -0.009 4.009 17 N -0.920 5.920 18 Si 0.915 3.085 19 H -0.284 1.284 20 H -0.289 1.289 21 H -0.285 1.285 22 C 0.118 3.882 23 C -0.078 4.078 24 C -0.111 4.111 25 C -0.121 4.121 26 C -0.119 4.119 27 C -0.119 4.119 28 C -0.110 4.110 29 H 0.041 0.959 30 H 0.044 0.956 31 H 0.088 0.912 32 H 0.397 0.603 33 H 0.073 0.927 34 H 0.078 0.922 35 H 0.363 0.637 36 H 0.076 0.924 37 H 0.070 0.930 38 H 0.108 0.892 39 H 0.018 0.982 40 H 0.254 0.746 41 H 0.022 0.978 42 H 0.031 0.969 43 H 0.087 0.913 44 H 0.073 0.927 45 H 0.062 0.938 46 H 0.063 0.937 47 H 0.062 0.938 48 H 0.059 0.941 49 H 0.061 0.939 50 H 0.063 0.937 51 H 0.061 0.939 52 H 0.060 0.940 53 H 0.072 0.928 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -11.196 -14.156 13.460 22.514 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 -0.068 4.068 2 O -0.268 6.268 3 C 0.016 3.984 4 H 0.102 0.898 5 C 0.277 3.723 6 O -0.401 6.401 7 N -0.379 5.379 8 C -0.018 4.018 9 C 0.064 3.936 10 O -0.347 6.347 11 C -0.167 4.167 12 C 0.032 3.968 13 N -0.326 5.326 14 C -0.355 4.355 15 H 0.094 0.906 16 C -0.205 4.205 17 N -0.568 5.568 18 Si 0.746 3.254 19 H -0.211 1.211 20 H -0.215 1.215 21 H -0.212 1.212 22 C -0.009 4.009 23 C -0.096 4.096 24 C -0.148 4.148 25 C -0.158 4.158 26 C -0.157 4.157 27 C -0.157 4.157 28 C -0.147 4.147 29 H 0.060 0.940 30 H 0.063 0.937 31 H 0.107 0.893 32 H 0.231 0.769 33 H 0.091 0.909 34 H 0.097 0.903 35 H 0.209 0.791 36 H 0.094 0.906 37 H 0.089 0.911 38 H 0.126 0.874 39 H 0.036 0.964 40 H 0.064 0.936 41 H 0.040 0.960 42 H 0.049 0.951 43 H 0.105 0.895 44 H 0.091 0.909 45 H 0.080 0.920 46 H 0.082 0.918 47 H 0.081 0.919 48 H 0.078 0.922 49 H 0.080 0.920 50 H 0.082 0.918 51 H 0.080 0.920 52 H 0.079 0.921 53 H 0.091 0.909 Dipole moment (debyes) X Y Z Total from point charges -11.080 -14.482 12.085 21.875 hybrid contribution 0.705 0.622 1.119 1.461 sum -10.375 -13.860 13.204 21.773 Atomic orbital electron populations 1.22857 0.80898 1.03117 0.99930 1.87990 1.19710 1.24765 1.94330 1.22150 0.97124 0.86873 0.92258 0.89778 1.21298 0.77177 0.81635 0.92175 1.90713 1.49849 1.53474 1.46057 1.46048 1.68012 1.14538 1.09325 1.22066 1.01893 0.95367 0.82495 1.22569 0.87998 0.86243 0.96831 1.86634 1.62121 1.57358 1.28589 1.23054 1.00581 1.01329 0.91760 1.21939 0.90199 0.91139 0.93555 1.44406 1.10988 1.48792 1.28370 1.19001 0.87128 1.20527 1.08827 0.90589 1.24792 0.98712 0.99260 0.97688 1.69781 1.36063 1.33516 1.17485 0.86145 0.83975 0.77981 0.77328 1.21104 1.21505 1.21203 1.21911 0.90211 0.94357 0.94427 1.21301 0.92154 1.00915 0.95274 1.21502 0.94663 1.00074 0.98599 1.21542 0.97069 1.01762 0.95432 1.21535 0.99247 0.99094 0.95800 1.21531 0.95464 1.00002 0.98682 1.21520 0.97357 1.02243 0.93615 0.94047 0.93737 0.89323 0.76895 0.90868 0.90332 0.79084 0.90592 0.91093 0.87427 0.96399 0.93572 0.96049 0.95141 0.89519 0.90873 0.91968 0.91778 0.91917 0.92194 0.92044 0.91842 0.92028 0.92134 0.90892 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 0.03 0.25 10.81 101.05 1.09 1.34 16 2 O -0.35 -3.95 8.54 -55.09 -0.47 -4.42 16 3 C 0.08 0.78 2.26 -27.88 -0.06 0.72 16 4 H 0.08 0.64 7.79 -51.93 -0.40 0.24 16 5 C 0.49 6.43 5.87 -10.98 -0.06 6.37 16 6 O -0.53 -9.04 16.51 -14.30 -0.24 -9.27 16 7 N -0.73 -8.69 5.14 -60.29 -0.31 -9.00 16 8 C 0.11 1.54 4.74 -4.04 -0.02 1.52 16 9 C 0.11 1.76 0.91 -88.78 -0.08 1.68 16 10 O -0.54 -8.76 13.10 -35.23 -0.46 -9.22 16 11 C -0.13 -2.45 6.26 -24.58 -0.15 -2.60 16 12 C 0.16 3.81 5.88 -2.53 -0.01 3.79 16 13 N -0.60 -15.10 3.39 -170.07 -0.58 -15.67 16 14 C -0.23 -6.23 10.27 -15.06 -0.15 -6.39 16 15 H 0.08 2.01 7.83 -52.49 -0.41 1.59 16 16 C -0.01 -0.24 5.49 -17.43 -0.10 -0.34 16 17 N -0.92 -26.66 10.09 55.49 0.56 -26.10 16 18 Si 0.92 21.84 29.55 -169.99 -5.02 16.82 16 19 H -0.28 -6.68 7.11 56.52 0.40 -6.28 16 20 H -0.29 -6.96 7.11 56.52 0.40 -6.55 16 21 H -0.29 -6.72 7.11 56.52 0.40 -6.31 16 22 C 0.12 2.31 6.03 -3.06 -0.02 2.29 16 23 C -0.08 -0.72 2.04 -90.61 -0.19 -0.90 16 24 C -0.11 -1.22 4.81 -26.73 -0.13 -1.35 16 25 C -0.12 -1.19 5.92 -26.73 -0.16 -1.35 16 26 C -0.12 -1.00 5.92 -26.73 -0.16 -1.16 16 27 C -0.12 -0.92 5.92 -26.73 -0.16 -1.07 16 28 C -0.11 -0.86 5.06 -26.73 -0.14 -1.00 16 29 H 0.04 0.27 8.08 -51.93 -0.42 -0.15 16 30 H 0.04 0.43 8.14 -51.93 -0.42 0.01 16 31 H 0.09 0.65 8.14 -51.93 -0.42 0.23 16 32 H 0.40 3.85 7.18 -40.82 -0.29 3.55 16 33 H 0.07 1.09 8.14 -51.93 -0.42 0.66 16 34 H 0.08 1.25 8.13 -51.92 -0.42 0.82 16 35 H 0.36 4.26 8.14 45.56 0.37 4.63 16 36 H 0.08 1.38 8.04 -51.93 -0.42 0.96 16 37 H 0.07 1.26 8.14 -51.93 -0.42 0.84 16 38 H 0.11 2.93 5.87 -51.93 -0.31 2.62 16 39 H 0.02 0.48 8.14 -51.93 -0.42 0.05 16 40 H 0.25 7.14 8.31 -40.82 -0.34 6.80 16 41 H 0.02 0.41 8.05 -51.93 -0.42 -0.01 16 42 H 0.03 0.60 7.82 -51.93 -0.41 0.19 16 43 H 0.09 0.75 7.92 -51.93 -0.41 0.34 16 44 H 0.07 0.87 7.68 -51.93 -0.40 0.47 16 45 H 0.06 0.82 7.22 -51.93 -0.37 0.44 16 46 H 0.06 0.66 8.14 -51.93 -0.42 0.24 16 47 H 0.06 0.62 8.14 -51.93 -0.42 0.19 16 48 H 0.06 0.47 8.14 -51.93 -0.42 0.05 16 49 H 0.06 0.51 8.14 -51.94 -0.42 0.09 16 50 H 0.06 0.50 8.14 -51.93 -0.42 0.07 16 51 H 0.06 0.42 8.14 -51.93 -0.42 0.00 16 52 H 0.06 0.40 8.14 -51.93 -0.42 -0.02 16 53 H 0.07 0.63 7.68 -51.93 -0.40 0.23 16 LS Contribution 409.27 15.07 6.17 6.17 Total: -1.00 -33.37 409.27 -9.77 -43.14 By element: Atomic # 1 Polarization: 14.92 SS G_CDS: -8.92 Total: 6.00 kcal Atomic # 6 Polarization: 2.05 SS G_CDS: -0.50 Total: 1.56 kcal Atomic # 7 Polarization: -50.44 SS G_CDS: -0.33 Total: -50.77 kcal Atomic # 8 Polarization: -21.75 SS G_CDS: -1.17 Total: -22.92 kcal Atomic # 14 Polarization: 21.84 SS G_CDS: -5.02 Total: 16.82 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -33.37 -9.77 -43.14 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. ZINC001325169934.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 -81.158 kcal (2) G-P(sol) polarization free energy of solvation -33.372 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -114.530 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.766 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.138 kcal (6) G-S(sol) free energy of system = (1) + (5) -124.296 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.93 seconds