Wall clock time and date at job start Sat Apr 11 2020 06:09:51 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 1.50697 * 1 3 3 O 1.21275 * 120.00533 * 2 1 4 4 N 1.34779 * 120.00027 * 179.97438 * 2 1 3 5 5 C 1.47134 * 120.91805 * 0.02562 * 4 2 1 6 6 C 1.53302 * 108.28426 * 230.23265 * 5 4 2 7 7 O 1.42842 * 109.25875 * 308.11132 * 6 5 4 8 8 C 1.43694 * 114.06848 * 63.37210 * 7 6 5 9 9 C 1.47041 * 120.92190 * 180.02562 * 4 2 1 10 10 C 1.54789 * 107.37349 * 51.78402 * 8 7 6 11 11 O 1.40117 * 109.40158 * 45.92227 * 10 8 7 12 12 C 1.44432 * 117.40002 * 93.15590 * 11 10 8 13 13 C 1.53815 * 112.79350 * 317.71690 * 12 11 10 14 14 N 1.44482 * 111.65887 * 318.76045 * 13 12 11 15 15 C 1.46897 * 110.95214 * 216.14097 * 14 13 12 16 16 H 1.09000 * 109.47274 * 53.23248 * 15 14 13 17 17 C 1.53001 * 109.46929 * 293.23896 * 15 14 13 18 18 C 1.52991 * 109.47450 * 173.24056 * 15 14 13 19 19 C 1.53001 * 109.47057 * 296.60913 * 18 15 14 20 20 C 1.50696 * 109.47414 * 184.98535 * 19 18 15 21 21 H 1.08006 * 120.00142 * 0.02562 * 20 19 18 22 22 C 1.37878 * 120.00121 * 179.97438 * 20 19 18 23 23 N 1.31512 * 119.99850 * 0.02562 * 22 20 19 24 24 Si 1.86800 * 119.99845 * 179.97438 * 22 20 19 25 25 H 1.48503 * 109.47331 * 60.00859 * 24 22 20 26 26 H 1.48501 * 109.47094 * 180.02562 * 24 22 20 27 27 H 1.48498 * 109.47668 * 300.00682 * 24 22 20 28 28 C 1.46911 * 111.50463 * 173.29855 * 8 7 6 29 29 H 1.08994 * 109.47263 * 270.00380 * 1 2 3 30 30 H 1.09004 * 109.46690 * 30.00081 * 1 2 3 31 31 H 1.09009 * 109.47304 * 149.99737 * 1 2 3 32 32 H 1.09002 * 109.70334 * 110.53259 * 5 4 2 33 33 H 1.08998 * 109.73609 * 349.94631 * 5 4 2 34 34 H 1.09004 * 109.50979 * 188.17563 * 6 5 4 35 35 H 1.09000 * 109.54728 * 68.06711 * 6 5 4 36 36 H 1.09000 * 109.68918 * 8.93604 * 9 4 2 37 37 H 1.08998 * 109.69751 * 248.35027 * 9 4 2 38 38 H 1.08999 * 109.48131 * 165.90671 * 10 8 7 39 39 H 1.08999 * 109.47791 * 285.94232 * 10 8 7 40 40 H 1.08994 * 108.81964 * 78.57343 * 12 11 10 41 41 H 1.09003 * 108.81950 * 196.97534 * 12 11 10 42 42 H 1.09004 * 109.02192 * 79.35708 * 13 12 11 43 43 H 1.09000 * 109.02352 * 198.25575 * 13 12 11 44 44 H 1.08995 * 109.47562 * 179.97438 * 17 15 14 45 45 H 1.09003 * 109.47117 * 300.00319 * 17 15 14 46 46 H 1.09005 * 109.47405 * 59.99458 * 17 15 14 47 47 H 1.08994 * 109.47373 * 56.61215 * 18 15 14 48 48 H 1.09001 * 109.47540 * 176.61665 * 18 15 14 49 49 H 1.08998 * 109.47625 * 304.98957 * 19 18 15 50 50 H 1.09001 * 109.47064 * 64.99132 * 19 18 15 51 51 H 0.97002 * 119.99653 * 179.97438 * 23 22 20 52 52 H 1.09001 * 108.79926 * 61.87434 * 28 8 7 53 53 H 1.09005 * 108.80130 * 180.22713 * 28 8 7 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 1.5070 0.0000 0.0000 3 8 2.1134 1.0502 0.0000 4 7 2.1809 -1.1672 0.0005 5 6 1.4657 -2.4531 0.0005 6 6 2.0452 -3.3257 1.1198 7 8 3.4663 -3.3810 0.9862 8 6 4.1195 -2.1107 1.1429 9 6 3.6511 -1.1909 0.0011 10 6 3.6191 -1.4944 2.4717 11 8 3.6496 -2.4693 3.4775 12 6 4.8381 -2.5444 4.2947 13 6 6.1333 -2.4029 3.4771 14 7 6.0617 -3.1354 2.2337 15 6 7.3646 -3.7228 1.8943 16 1 7.7284 -4.3113 2.7366 17 6 8.3626 -2.6052 1.5843 18 6 7.2133 -4.6258 0.6687 19 6 6.2808 -5.7910 1.0058 20 6 6.2280 -6.7455 -0.1592 21 1 6.8025 -6.5417 -1.0508 22 6 5.4471 -7.8795 -0.0866 23 7 4.7479 -8.1279 0.9992 24 14 5.3812 -9.0622 -1.5310 25 1 6.7443 -9.5825 -1.8074 26 1 4.4762 -10.1932 -1.2038 27 1 4.8703 -8.3510 -2.7303 28 6 5.5815 -2.2545 1.1531 29 1 -0.3633 0.0001 1.0276 30 1 -0.3633 0.8900 -0.5139 31 1 -0.3634 -0.8900 -0.5139 32 1 1.6020 -2.9494 -0.9603 33 1 0.4039 -2.2837 0.1792 34 1 1.6334 -4.3323 1.0468 35 1 1.7871 -2.8962 2.0878 36 1 4.0345 -0.1831 0.1604 37 1 4.0127 -1.5755 -0.9525 38 1 4.2647 -0.6621 2.7522 39 1 2.5978 -1.1355 2.3440 40 1 4.8037 -1.7491 5.0392 41 1 4.8517 -3.5057 4.8082 42 1 6.3031 -1.3483 3.2601 43 1 6.9683 -2.7832 4.0656 44 1 9.3295 -3.0409 1.3329 45 1 7.9988 -2.0166 0.7420 46 1 8.4704 -1.9617 2.4575 47 1 6.7930 -4.0510 -0.1565 48 1 8.1902 -5.0141 0.3805 49 1 6.6550 -6.3130 1.8864 50 1 5.2802 -5.4088 1.2078 51 1 4.1983 -8.9256 1.0502 52 1 5.9006 -2.6668 0.1959 53 1 6.0306 -1.2691 1.2777 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 ZINC001172498559.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 06:09:51 Heat of formation + Delta-G solvation = -95.790633 kcal Electronic energy + Delta-G solvation = -33480.334019 eV Core-core repulsion = 29353.217967 eV Total energy + Delta-G solvation = -4127.116052 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.02 seconds Orbital eigenvalues (eV) -40.98767 -39.46467 -37.86533 -36.84426 -34.66338 -33.56081 -32.95490 -31.75200 -30.25126 -29.31525 -28.94717 -27.43294 -26.46739 -25.28185 -24.84507 -23.21619 -21.89324 -20.62948 -20.43400 -19.17785 -18.84972 -17.46358 -17.18654 -16.63538 -16.04684 -15.99024 -15.61587 -15.28722 -15.16582 -14.91907 -14.50272 -14.37608 -14.10316 -13.88143 -13.57598 -13.51984 -13.17682 -13.07509 -12.80351 -12.66005 -12.44636 -12.28355 -12.17955 -11.89425 -11.78676 -11.67986 -11.34343 -11.18768 -11.05929 -10.95488 -10.77139 -10.64568 -10.42208 -10.39717 -10.15608 -10.01807 -9.80194 -9.50040 -9.21366 -9.09250 -8.79111 -8.35556 -8.13138 -7.80939 -5.78456 -3.78910 2.44734 2.78231 3.42127 3.46360 3.48919 3.62367 4.03627 4.26725 4.40485 4.60518 4.75259 4.77911 4.89958 4.93104 5.01332 5.08382 5.14159 5.17527 5.21625 5.32301 5.33545 5.38908 5.39205 5.50630 5.56454 5.57119 5.60288 5.64172 5.65698 5.67582 5.73924 5.82575 5.88195 6.03419 6.10325 6.14626 6.18184 6.24063 6.28420 6.37575 6.69666 6.90445 7.22156 7.33734 7.36692 7.48954 7.61962 7.71476 7.94335 7.97993 8.19478 8.43318 8.67404 9.30671 9.82216 11.32154 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010103 B = 0.004462 C = 0.003609 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2770.679244 B = 6274.164009 C = 7757.119333 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.176 4.176 2 C 0.512 3.488 3 O -0.553 6.553 4 N -0.610 5.610 5 C 0.066 3.934 6 C 0.046 3.954 7 O -0.316 6.316 8 C 0.088 3.912 9 C 0.088 3.912 10 C 0.050 3.950 11 O -0.362 6.362 12 C 0.075 3.925 13 C 0.021 3.979 14 N -0.493 5.493 15 C 0.084 3.916 16 H 0.080 0.920 17 C -0.185 4.185 18 C -0.101 4.101 19 C 0.032 3.968 20 C -0.516 4.516 21 H 0.046 0.954 22 C 0.060 3.940 23 N -0.890 5.890 24 Si 0.882 3.118 25 H -0.280 1.280 26 H -0.289 1.289 27 H -0.280 1.280 28 C 0.067 3.933 29 H 0.094 0.906 30 H 0.092 0.908 31 H 0.084 0.916 32 H 0.080 0.920 33 H 0.093 0.907 34 H 0.106 0.894 35 H 0.061 0.939 36 H 0.096 0.904 37 H 0.080 0.920 38 H 0.046 0.954 39 H 0.081 0.919 40 H 0.044 0.956 41 H 0.093 0.907 42 H 0.033 0.967 43 H 0.078 0.922 44 H 0.060 0.940 45 H 0.053 0.947 46 H 0.045 0.955 47 H 0.047 0.953 48 H 0.047 0.953 49 H 0.005 0.995 50 H 0.045 0.955 51 H 0.256 0.744 52 H 0.093 0.907 53 H 0.044 0.956 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.388 16.295 3.202 17.459 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 -0.235 4.235 2 C 0.302 3.698 3 O -0.431 6.431 4 N -0.344 5.344 5 C -0.057 4.057 6 C -0.032 4.032 7 O -0.233 6.233 8 C 0.046 3.954 9 C -0.036 4.036 10 C -0.029 4.029 11 O -0.279 6.279 12 C -0.002 4.002 13 C -0.108 4.108 14 N -0.215 5.215 15 C -0.024 4.024 16 H 0.098 0.902 17 C -0.244 4.244 18 C -0.139 4.139 19 C -0.005 4.005 20 C -0.555 4.555 21 H 0.065 0.935 22 C -0.141 4.141 23 N -0.530 5.530 24 Si 0.710 3.290 25 H -0.206 1.206 26 H -0.215 1.215 27 H -0.205 1.205 28 C -0.061 4.061 29 H 0.112 0.888 30 H 0.111 0.889 31 H 0.103 0.897 32 H 0.099 0.901 33 H 0.111 0.889 34 H 0.124 0.876 35 H 0.079 0.921 36 H 0.114 0.886 37 H 0.099 0.901 38 H 0.064 0.936 39 H 0.099 0.901 40 H 0.062 0.938 41 H 0.111 0.889 42 H 0.051 0.949 43 H 0.096 0.904 44 H 0.079 0.921 45 H 0.072 0.928 46 H 0.064 0.936 47 H 0.065 0.935 48 H 0.066 0.934 49 H 0.023 0.977 50 H 0.064 0.936 51 H 0.066 0.934 52 H 0.111 0.889 53 H 0.062 0.938 Dipole moment (debyes) X Y Z Total from point charges -5.580 16.028 3.343 17.298 hybrid contribution 0.568 0.255 -0.971 1.153 sum -5.013 16.283 2.373 17.202 Atomic orbital electron populations 1.21959 0.91749 1.04936 1.04844 1.20824 0.90671 0.82876 0.75476 1.90698 1.70735 1.31017 1.50632 1.48159 1.06823 1.06337 1.73084 1.22718 0.97074 0.84017 1.01880 1.22914 0.83366 1.00706 0.96250 1.88494 1.16706 1.26443 1.91704 1.21751 0.94150 0.85855 0.93638 1.22294 0.79926 1.01654 0.99692 1.22904 1.01028 0.90723 0.88197 1.87426 1.37787 1.56423 1.46309 1.23072 0.84108 1.01734 0.91296 1.22544 0.98425 0.96242 0.93627 1.61211 1.27340 1.32414 1.00529 1.22027 0.85470 0.94305 1.00569 0.90155 1.22583 1.00993 0.99954 1.00911 1.21751 1.00440 0.97725 0.93982 1.18987 0.95844 0.90355 0.95353 1.21287 1.26390 1.06426 1.01363 0.93543 1.24933 0.95893 0.97844 0.95384 1.69983 1.29438 1.26666 1.26910 0.86843 0.77663 0.80934 0.83545 1.20590 1.21494 1.20542 1.20890 0.92023 0.95132 0.98096 0.88779 0.88944 0.89724 0.90129 0.88850 0.87564 0.92082 0.88596 0.90137 0.93597 0.90146 0.93820 0.88904 0.94921 0.90372 0.92122 0.92799 0.93615 0.93484 0.93418 0.97672 0.93647 0.93398 0.88904 0.93767 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 -0.18 -1.35 9.44 36.00 0.34 -1.01 16 2 C 0.51 6.21 7.70 -10.99 -0.08 6.13 16 3 O -0.55 -8.76 16.56 5.56 0.09 -8.67 16 4 N -0.61 -7.37 2.02 -172.00 -0.35 -7.72 16 5 C 0.07 0.71 6.39 -3.54 -0.02 0.68 16 6 C 0.05 0.64 6.39 37.31 0.24 0.88 16 7 O -0.32 -5.65 9.84 -53.71 -0.53 -6.18 16 8 C 0.09 1.30 0.84 -92.12 -0.08 1.22 16 9 C 0.09 1.17 5.36 -3.27 -0.02 1.15 16 10 C 0.05 0.69 4.34 38.10 0.17 0.86 16 11 O -0.36 -5.65 8.98 -51.69 -0.46 -6.12 16 12 C 0.07 1.01 7.02 37.58 0.26 1.27 16 13 C 0.02 0.28 4.12 -4.69 -0.02 0.26 16 14 N -0.49 -7.96 3.76 -231.28 -0.87 -8.83 16 15 C 0.08 1.38 2.18 -67.72 -0.15 1.24 16 16 H 0.08 1.37 7.85 -51.93 -0.41 0.96 16 17 C -0.19 -2.45 8.61 37.16 0.32 -2.13 16 18 C -0.10 -2.07 4.52 -26.74 -0.12 -2.19 16 19 C 0.03 0.83 4.78 -27.88 -0.13 0.69 16 20 C -0.52 -14.86 9.11 -34.44 -0.31 -15.18 16 21 H 0.05 1.31 7.74 -52.48 -0.41 0.90 16 22 C 0.06 1.75 5.46 -17.82 -0.10 1.66 16 23 N -0.89 -27.20 13.29 55.43 0.74 -26.47 16 24 Si 0.88 22.05 29.54 -169.99 -5.02 17.03 16 25 H -0.28 -6.90 7.11 56.52 0.40 -6.50 16 26 H -0.29 -7.16 7.11 56.52 0.40 -6.75 16 27 H -0.28 -6.88 7.11 56.52 0.40 -6.48 16 28 C 0.07 1.00 2.62 -6.44 -0.02 0.98 16 29 H 0.09 0.60 8.14 -51.93 -0.42 0.18 16 30 H 0.09 0.67 8.14 -51.93 -0.42 0.24 16 31 H 0.08 0.49 6.28 -51.92 -0.33 0.17 16 32 H 0.08 0.89 8.14 -51.93 -0.42 0.47 16 33 H 0.09 0.69 5.69 -51.93 -0.30 0.40 16 34 H 0.11 1.49 8.14 -51.93 -0.42 1.07 16 35 H 0.06 0.84 5.76 -51.93 -0.30 0.54 16 36 H 0.10 1.28 7.06 -51.93 -0.37 0.92 16 37 H 0.08 1.08 8.14 -51.93 -0.42 0.66 16 38 H 0.05 0.60 7.18 -51.93 -0.37 0.23 16 39 H 0.08 1.10 6.03 -51.93 -0.31 0.78 16 40 H 0.04 0.48 8.14 -51.93 -0.42 0.06 16 41 H 0.09 1.30 8.14 -51.93 -0.42 0.88 16 42 H 0.03 0.40 6.73 -51.93 -0.35 0.05 16 43 H 0.08 0.96 7.41 -51.93 -0.38 0.57 16 44 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 45 H 0.05 0.69 6.82 -51.93 -0.35 0.34 16 46 H 0.04 0.53 7.38 -51.93 -0.38 0.15 16 47 H 0.05 0.96 6.01 -51.93 -0.31 0.64 16 48 H 0.05 0.97 8.14 -51.93 -0.42 0.54 16 49 H 0.00 0.14 8.14 -51.93 -0.42 -0.28 16 50 H 0.05 1.30 7.85 -51.93 -0.41 0.89 16 51 H 0.26 7.44 8.31 -40.82 -0.34 7.11 16 52 H 0.09 1.53 5.49 -51.93 -0.29 1.24 16 53 H 0.04 0.58 6.89 -51.93 -0.36 0.22 16 LS Contribution 392.08 15.07 5.91 5.91 Total: -1.00 -34.78 392.08 -9.20 -43.98 By element: Atomic # 1 Polarization: 9.52 SS G_CDS: -8.98 Total: 0.54 kcal Atomic # 6 Polarization: -3.75 SS G_CDS: 0.28 Total: -3.48 kcal Atomic # 7 Polarization: -42.54 SS G_CDS: -0.48 Total: -43.02 kcal Atomic # 8 Polarization: -20.06 SS G_CDS: -0.90 Total: -20.96 kcal Atomic # 14 Polarization: 22.05 SS G_CDS: -5.02 Total: 17.03 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -34.78 -9.20 -43.98 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. ZINC001172498559.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 -51.813 kcal (2) G-P(sol) polarization free energy of solvation -34.777 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -86.589 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.201 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.978 kcal (6) G-S(sol) free energy of system = (1) + (5) -95.791 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.02 seconds