Wall clock time and date at job start Sat Apr 11 2020 06:11:45 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 C 2 2 O 1.42896 * 1 3 3 C 1.42891 * 114.00440 * 2 1 4 4 C 1.53001 * 109.47532 * 180.02562 * 3 2 1 5 5 H 1.09000 * 109.46781 * 55.29985 * 4 3 2 6 6 O 1.42904 * 109.46770 * 295.30338 * 4 3 2 7 7 C 1.42900 * 113.99682 * 149.99735 * 6 4 3 8 8 C 1.50694 * 109.47357 * 175.30147 * 4 3 2 9 9 O 1.21291 * 119.99767 * 107.22078 * 8 4 3 10 10 N 1.34773 * 120.00358 * 287.22443 * 8 4 3 11 11 C 1.46932 * 120.64701 * 184.62365 * 10 8 4 12 12 C 1.53615 * 108.54057 * 126.32262 * 11 10 8 13 13 C 1.53050 * 109.25909 * 54.86816 * 12 11 10 14 14 C 1.53027 * 109.43995 * 58.57388 * 13 12 11 15 15 C 1.53191 * 109.33670 * 181.22903 * 14 13 12 16 16 N 1.46924 * 108.78211 * 305.37587 * 15 14 13 17 17 C 1.36937 * 120.64119 * 233.61768 * 16 15 14 18 18 H 1.07999 * 120.00074 * 151.97787 * 17 16 15 19 19 C 1.38811 * 120.00064 * 331.96899 * 17 16 15 20 20 N 1.31624 * 119.99790 * 343.15332 * 19 17 16 21 21 Si 1.86801 * 120.00347 * 163.14745 * 19 17 16 22 22 H 1.48500 * 109.46802 * 94.98280 * 21 19 17 23 23 H 1.48501 * 109.47263 * 214.98507 * 21 19 17 24 24 H 1.48502 * 109.46896 * 334.98660 * 21 19 17 25 25 C 1.46928 * 118.71862 * 53.63353 * 16 15 14 26 26 C 1.53046 * 109.39078 * 178.59958 * 13 12 11 27 27 C 1.53028 * 109.54861 * 298.55986 * 13 12 11 28 28 C 1.46931 * 120.64279 * 4.90109 * 10 8 4 29 29 H 1.09003 * 109.47620 * 180.02562 * 1 2 3 30 30 H 1.09002 * 109.46826 * 299.99781 * 1 2 3 31 31 H 1.08998 * 109.47449 * 59.99621 * 1 2 3 32 32 H 1.08997 * 109.47182 * 59.99825 * 3 2 1 33 33 H 1.09005 * 109.46897 * 300.00007 * 3 2 1 34 34 H 1.08998 * 109.47131 * 299.99843 * 7 6 4 35 35 H 1.09002 * 109.47366 * 60.00217 * 7 6 4 36 36 H 1.08997 * 109.46903 * 179.97438 * 7 6 4 37 37 H 1.09002 * 109.58904 * 246.15723 * 11 10 8 38 38 H 1.09006 * 109.58351 * 6.58169 * 11 10 8 39 39 H 1.08996 * 109.63097 * 294.87153 * 12 11 10 40 40 H 1.09003 * 109.42941 * 174.73988 * 12 11 10 41 41 H 1.08995 * 109.49481 * 301.19030 * 14 13 12 42 42 H 1.09003 * 109.49356 * 61.27405 * 14 13 12 43 43 H 1.09000 * 109.58454 * 185.58314 * 15 14 13 44 44 H 1.09000 * 109.69934 * 65.23547 * 15 14 13 45 45 H 0.96997 * 119.99514 * 179.97438 * 20 19 17 46 46 H 1.08996 * 109.59028 * 186.57112 * 25 16 15 47 47 H 1.09006 * 109.70075 * 66.21135 * 25 16 15 48 48 H 1.08997 * 109.49353 * 298.68695 * 26 13 12 49 49 H 1.08993 * 109.49662 * 58.77435 * 26 13 12 50 50 H 1.09000 * 109.49630 * 301.34420 * 27 13 12 51 51 H 1.09000 * 109.49301 * 181.25414 * 27 13 12 52 52 H 1.08998 * 109.58432 * 353.40957 * 28 10 8 53 53 H 1.09002 * 109.58598 * 113.68767 * 28 10 8 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 2.0102 1.3053 0.0000 4 6 3.5355 1.1845 -0.0006 5 1 3.8511 0.5728 -0.8458 6 8 3.9653 0.5726 1.2171 7 6 5.1685 -0.1881 1.0922 8 6 4.1480 2.5564 -0.1170 9 8 4.6856 3.0641 0.8445 10 7 4.0986 3.2193 -1.2894 11 6 4.7779 4.5125 -1.4479 12 6 5.7025 4.4317 -2.6719 13 6 4.8876 3.9970 -3.8923 14 6 3.7562 4.9990 -4.1325 15 6 2.9236 4.5452 -5.3357 16 7 3.8180 4.3581 -6.4862 17 6 3.5648 4.9862 -7.6764 18 1 4.3795 5.2315 -8.3416 19 6 2.2610 5.3075 -8.0280 20 7 1.2517 4.7342 -7.4074 21 14 1.9387 6.5535 -9.3819 22 1 1.7354 5.8433 -10.6701 23 1 0.7222 7.3390 -9.0524 24 1 3.1022 7.4688 -9.4995 25 6 4.9891 3.4837 -6.3352 26 6 5.7988 3.9494 -5.1211 27 6 4.2946 2.6084 -3.6438 28 6 3.3592 2.6658 -2.4321 29 1 -0.3634 -1.0277 0.0005 30 1 -0.3633 0.5138 0.8900 31 1 -0.3634 0.5139 -0.8899 32 1 1.6887 1.8463 0.8899 33 1 1.6886 1.8463 -0.8900 34 1 5.0195 -0.9870 0.3659 35 1 5.9763 0.4622 0.7565 36 1 5.4278 -0.6192 2.0591 37 1 4.0375 5.2984 -1.5969 38 1 5.3674 4.7272 -0.5564 39 1 6.4940 3.7059 -2.4858 40 1 6.1431 5.4111 -2.8588 41 1 3.1207 5.0488 -3.2484 42 1 4.1787 5.9836 -4.3331 43 1 2.1785 5.3049 -5.5718 44 1 2.4250 3.6042 -5.1035 45 1 0.3406 4.9590 -7.6529 46 1 5.6071 3.5427 -7.2311 47 1 4.6624 2.4548 -6.1837 48 1 6.2029 4.9433 -5.3130 49 1 6.6169 3.2523 -4.9404 50 1 5.0989 1.8989 -3.4492 51 1 3.7329 2.2902 -4.5222 52 1 3.0120 1.6612 -2.1906 53 1 2.5043 3.3034 -2.6576 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 ZINC001485011002.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 06:11:45 Heat of formation + Delta-G solvation = -97.559426 kcal Electronic energy + Delta-G solvation = -32450.345512 eV Core-core repulsion = 28323.152760 eV Total energy + Delta-G solvation = -4127.192753 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.91 seconds Orbital eigenvalues (eV) -40.85545 -39.27538 -38.01465 -37.17534 -35.89064 -33.73974 -32.05915 -30.95910 -30.52084 -29.93796 -28.08878 -26.98370 -26.36386 -25.17027 -24.00109 -23.35077 -22.85190 -21.96834 -20.65980 -19.48764 -18.13030 -17.63020 -17.02651 -16.67301 -16.50159 -15.95839 -15.72808 -15.40700 -15.09405 -14.80504 -14.62496 -14.22282 -14.15927 -14.07132 -13.96544 -13.59630 -13.32569 -13.17209 -12.89047 -12.76619 -12.66199 -12.15978 -12.00622 -11.63937 -11.60788 -11.52432 -11.49865 -11.23902 -11.12952 -11.07994 -10.73102 -10.71612 -10.53710 -10.41151 -10.13829 -10.12231 -9.92127 -9.76774 -9.58751 -9.39464 -9.38281 -8.59098 -8.45176 -6.67491 -5.82423 -3.23840 2.36653 2.74952 3.34208 3.42063 3.44304 3.50159 3.55062 4.40189 4.46908 4.62121 4.70326 4.80033 4.96611 5.00707 5.05943 5.10583 5.17087 5.19681 5.21371 5.26800 5.28545 5.35559 5.38127 5.40256 5.47787 5.48015 5.53313 5.65497 5.75896 5.85627 5.88908 5.93310 6.06565 6.08782 6.17891 6.24982 6.32994 6.49328 6.50755 6.59633 6.71386 6.77448 6.77616 6.84929 6.86387 6.95788 7.31177 7.34647 7.62794 7.76890 8.05011 8.42407 9.19053 9.82548 10.39041 11.25888 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.015179 B = 0.003106 C = 0.002785 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1844.210803 B = 9013.533405 C =10050.942502 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.030 3.970 2 O -0.382 6.382 3 C 0.066 3.934 4 C 0.077 3.923 5 H 0.095 0.905 6 O -0.351 6.351 7 C 0.030 3.970 8 C 0.495 3.505 9 O -0.528 6.528 10 N -0.602 5.602 11 C 0.111 3.889 12 C -0.122 4.122 13 C -0.047 4.047 14 C -0.134 4.134 15 C 0.172 3.828 16 N -0.591 5.591 17 C -0.250 4.250 18 H 0.064 0.936 19 C 0.002 3.998 20 N -0.903 5.903 21 Si 0.900 3.100 22 H -0.288 1.288 23 H -0.290 1.290 24 H -0.279 1.279 25 C 0.145 3.855 26 C -0.121 4.121 27 C -0.125 4.125 28 C 0.097 3.903 29 H 0.088 0.912 30 H 0.042 0.958 31 H 0.046 0.954 32 H 0.065 0.935 33 H 0.075 0.925 34 H 0.045 0.955 35 H 0.042 0.958 36 H 0.090 0.910 37 H 0.073 0.927 38 H 0.086 0.914 39 H 0.059 0.941 40 H 0.072 0.928 41 H 0.049 0.951 42 H 0.055 0.945 43 H 0.084 0.916 44 H 0.019 0.981 45 H 0.253 0.747 46 H 0.050 0.950 47 H 0.018 0.982 48 H 0.058 0.942 49 H 0.047 0.953 50 H 0.058 0.942 51 H 0.092 0.908 52 H 0.080 0.920 53 H 0.082 0.918 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 3.416 -7.808 14.011 16.399 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 -0.066 4.066 2 O -0.301 6.301 3 C -0.012 4.012 4 C 0.016 3.984 5 H 0.112 0.888 6 O -0.268 6.268 7 C -0.066 4.066 8 C 0.281 3.719 9 O -0.404 6.404 10 N -0.337 5.337 11 C -0.011 4.011 12 C -0.161 4.161 13 C -0.047 4.047 14 C -0.173 4.173 15 C 0.046 3.954 16 N -0.314 5.314 17 C -0.380 4.380 18 H 0.081 0.919 19 C -0.196 4.196 20 N -0.548 5.548 21 Si 0.730 3.270 22 H -0.215 1.215 23 H -0.216 1.216 24 H -0.205 1.205 25 C 0.018 3.982 26 C -0.161 4.161 27 C -0.163 4.163 28 C -0.025 4.025 29 H 0.107 0.893 30 H 0.061 0.939 31 H 0.064 0.936 32 H 0.083 0.917 33 H 0.093 0.907 34 H 0.063 0.937 35 H 0.061 0.939 36 H 0.108 0.892 37 H 0.091 0.909 38 H 0.104 0.896 39 H 0.078 0.922 40 H 0.091 0.909 41 H 0.068 0.932 42 H 0.074 0.926 43 H 0.102 0.898 44 H 0.037 0.963 45 H 0.063 0.937 46 H 0.069 0.931 47 H 0.036 0.964 48 H 0.077 0.923 49 H 0.066 0.934 50 H 0.076 0.924 51 H 0.111 0.889 52 H 0.098 0.902 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges 3.538 -7.668 14.671 16.928 hybrid contribution -0.248 0.828 -1.065 1.371 sum 3.290 -6.841 13.606 15.580 Atomic orbital electron populations 1.22793 0.80402 1.03046 1.00360 1.87885 1.20107 1.26594 1.95498 1.22589 0.90283 0.86101 1.02186 1.21983 0.94216 0.92121 0.90120 0.88768 1.88009 1.42119 1.66771 1.29908 1.22856 0.86503 0.94415 1.02831 1.21019 0.80719 0.87413 0.82766 1.90695 1.44778 1.68063 1.36830 1.48245 1.51998 1.21840 1.11644 1.21769 0.96040 0.84166 0.99092 1.22089 0.97679 1.01873 0.94426 1.20385 0.95835 0.94789 0.93697 1.22341 0.97073 0.98071 0.99839 1.20775 0.91598 0.99236 0.83769 1.44021 1.26295 1.51989 1.09066 1.19175 0.91360 1.31012 0.96461 0.91860 1.25008 0.95966 1.00148 0.98470 1.70021 0.98004 1.42675 1.44069 0.86322 0.77486 0.81473 0.81752 1.21515 1.21592 1.20484 1.20917 0.89570 0.92800 0.94863 1.22043 0.97116 1.00933 0.95983 1.22033 0.98974 0.97529 0.97716 1.22075 0.95408 0.99127 0.85895 0.89339 0.93907 0.93562 0.91681 0.90687 0.93651 0.93943 0.89190 0.90872 0.89562 0.92183 0.90915 0.93218 0.92641 0.89763 0.96306 0.93732 0.93132 0.96383 0.92303 0.93384 0.92372 0.88931 0.90150 0.89975 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 18. 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 0.26 11.01 101.05 1.11 1.37 16 2 O -0.38 -4.39 10.66 -40.40 -0.43 -4.82 16 3 C 0.07 0.73 5.18 37.16 0.19 0.92 16 4 C 0.08 0.95 1.95 -27.89 -0.05 0.89 16 5 H 0.09 1.02 6.87 -51.93 -0.36 0.67 16 6 O -0.35 -4.76 9.88 -59.62 -0.59 -5.35 16 7 C 0.03 0.31 10.81 101.05 1.09 1.41 16 8 C 0.49 6.94 6.99 -10.99 -0.08 6.86 16 9 O -0.53 -9.17 15.98 -14.03 -0.22 -9.40 16 10 N -0.60 -7.73 2.97 -172.50 -0.51 -8.24 16 11 C 0.11 1.43 5.98 -3.49 -0.02 1.41 16 12 C -0.12 -1.57 4.92 -26.39 -0.13 -1.70 16 13 C -0.05 -0.68 0.51 -154.43 -0.08 -0.76 16 14 C -0.13 -2.28 4.15 -26.62 -0.11 -2.39 16 15 C 0.17 3.72 4.83 -3.71 -0.02 3.70 16 16 N -0.59 -13.84 2.99 -172.32 -0.52 -14.36 16 17 C -0.25 -6.61 9.59 -15.06 -0.14 -6.76 16 18 H 0.06 1.66 7.88 -52.49 -0.41 1.25 16 19 C 0.00 0.07 4.92 -17.43 -0.09 -0.02 16 20 N -0.90 -25.10 11.18 55.49 0.62 -24.48 16 21 Si 0.90 21.14 29.59 -169.99 -5.03 16.11 16 22 H -0.29 -6.80 7.11 56.52 0.40 -6.40 16 23 H -0.29 -6.86 7.11 56.52 0.40 -6.45 16 24 H -0.28 -6.48 7.11 56.52 0.40 -6.08 16 25 C 0.14 2.82 6.04 -3.71 -0.02 2.80 16 26 C -0.12 -1.94 4.90 -26.61 -0.13 -2.07 16 27 C -0.12 -1.69 4.15 -26.62 -0.11 -1.80 16 28 C 0.10 1.17 4.75 -3.71 -0.02 1.16 16 29 H 0.09 0.61 8.14 -51.93 -0.42 0.19 16 30 H 0.04 0.32 8.14 -51.93 -0.42 -0.10 16 31 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 32 H 0.06 0.74 8.14 -51.93 -0.42 0.32 16 33 H 0.08 0.74 5.98 -51.93 -0.31 0.43 16 34 H 0.04 0.40 8.08 -51.93 -0.42 -0.02 16 35 H 0.04 0.45 8.14 -51.93 -0.42 0.03 16 36 H 0.09 0.78 8.14 -51.93 -0.42 0.35 16 37 H 0.07 0.93 6.66 -51.93 -0.35 0.58 16 38 H 0.09 1.16 7.03 -51.93 -0.37 0.80 16 39 H 0.06 0.76 8.14 -51.93 -0.42 0.34 16 40 H 0.07 0.90 8.14 -51.93 -0.42 0.48 16 41 H 0.05 0.77 4.98 -51.93 -0.26 0.51 16 42 H 0.05 1.01 8.14 -51.93 -0.42 0.58 16 43 H 0.08 2.12 6.05 -51.93 -0.31 1.81 16 44 H 0.02 0.42 6.74 -51.93 -0.35 0.07 16 45 H 0.25 6.83 8.31 -40.82 -0.34 6.49 16 46 H 0.05 0.99 7.93 -51.93 -0.41 0.58 16 47 H 0.02 0.35 6.67 -51.93 -0.35 0.01 16 48 H 0.06 0.99 8.14 -51.93 -0.42 0.57 16 49 H 0.05 0.68 8.14 -51.93 -0.42 0.25 16 50 H 0.06 0.74 8.14 -51.93 -0.42 0.31 16 51 H 0.09 1.45 4.99 -51.93 -0.26 1.20 16 52 H 0.08 0.84 4.73 -51.93 -0.25 0.60 16 53 H 0.08 1.04 6.74 -51.93 -0.35 0.69 16 LS Contribution 392.60 15.07 5.92 5.92 Total: -1.00 -31.30 392.60 -8.32 -39.62 By element: Atomic # 1 Polarization: 8.94 SS G_CDS: -8.96 Total: -0.02 kcal Atomic # 6 Polarization: 3.62 SS G_CDS: 1.40 Total: 5.02 kcal Atomic # 7 Polarization: -46.67 SS G_CDS: -0.41 Total: -47.07 kcal Atomic # 8 Polarization: -18.32 SS G_CDS: -1.24 Total: -19.57 kcal Atomic # 14 Polarization: 21.14 SS G_CDS: -5.03 Total: 16.11 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -31.30 -8.32 -39.62 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. ZINC001485011002.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 -57.940 kcal (2) G-P(sol) polarization free energy of solvation -31.298 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -89.238 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.322 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.620 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.559 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.91 seconds