Wall clock time and date at job start Sat Apr 11 2020 06:12:54 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 1.52995 * 1 3 3 C 1.53001 * 109.47152 * 2 1 4 4 N 1.46499 * 109.47380 * 120.00321 * 2 1 3 5 5 C 1.34779 * 120.00028 * 84.99390 * 4 2 1 6 6 O 1.21278 * 120.00165 * 0.02562 * 5 4 2 7 7 C 1.50702 * 119.99692 * 179.97438 * 5 4 2 8 8 N 1.46899 * 109.46840 * 180.02562 * 7 5 4 9 9 C 1.46904 * 111.00119 * 293.95293 * 8 7 5 10 10 C 1.46900 * 111.00145 * 170.00206 * 8 7 5 11 11 C 1.50703 * 109.47279 * 189.99790 * 10 8 7 12 12 O 1.21282 * 119.99995 * 0.02562 * 11 10 8 13 13 N 1.34774 * 119.99909 * 180.02562 * 11 10 8 14 14 C 1.47423 * 125.64935 * 0.02562 * 13 11 10 15 15 C 1.54909 * 104.83351 * 155.83866 * 14 13 11 16 16 C 1.55158 * 101.61642 * 36.99324 * 15 14 13 17 17 H 1.08999 * 110.72042 * 82.87870 * 16 15 14 18 18 N 1.46497 * 110.72259 * 206.15767 * 16 15 14 19 19 C 1.36932 * 119.99587 * 273.54435 * 18 16 15 20 20 H 1.08005 * 120.00433 * 359.97438 * 19 18 16 21 21 C 1.38815 * 120.00209 * 180.02562 * 19 18 16 22 22 N 1.31622 * 119.99631 * 359.97438 * 21 19 18 23 23 Si 1.86797 * 120.00341 * 180.02562 * 21 19 18 24 24 H 1.48499 * 109.47214 * 359.97438 * 23 21 19 25 25 H 1.48500 * 109.47024 * 119.99975 * 23 21 19 26 26 H 1.48498 * 109.47034 * 239.99742 * 23 21 19 27 27 C 1.47016 * 125.64624 * 179.97438 * 13 11 10 28 28 H 1.09000 * 109.88531 * 300.50046 * 27 13 11 29 29 C 1.52997 * 109.88556 * 61.51952 * 27 13 11 30 30 H 1.09002 * 109.47292 * 180.02562 * 1 2 3 31 31 H 1.09002 * 109.46825 * 300.00040 * 1 2 3 32 32 H 1.09004 * 109.47159 * 59.99643 * 1 2 3 33 33 H 1.09002 * 109.46825 * 239.99960 * 2 1 3 34 34 H 1.09001 * 109.46660 * 180.02562 * 3 2 1 35 35 H 1.09000 * 109.46986 * 299.99925 * 3 2 1 36 36 H 1.08996 * 109.46942 * 60.00452 * 3 2 1 37 37 H 0.96999 * 120.00078 * 264.99634 * 4 2 1 38 38 H 1.08994 * 109.47016 * 60.00689 * 7 5 4 39 39 H 1.08998 * 109.47080 * 300.00366 * 7 5 4 40 40 H 1.09003 * 109.47251 * 296.05435 * 9 8 7 41 41 H 1.09010 * 109.46921 * 56.04505 * 9 8 7 42 42 H 1.08992 * 109.47248 * 176.04367 * 9 8 7 43 43 H 1.09006 * 109.46963 * 70.00106 * 10 8 7 44 44 H 1.08994 * 109.46936 * 309.99827 * 10 8 7 45 45 H 1.09000 * 110.36544 * 37.00287 * 14 13 11 46 46 H 1.09002 * 110.37016 * 274.68213 * 14 13 11 47 47 H 1.09002 * 111.00594 * 155.08642 * 15 14 13 48 48 H 1.09002 * 111.00655 * 278.89906 * 15 14 13 49 49 H 0.97001 * 120.00114 * 93.54210 * 18 16 15 50 50 H 0.97005 * 120.00133 * 180.02562 * 22 21 19 51 51 H 1.09002 * 109.47123 * 58.54653 * 29 27 13 52 52 H 1.09005 * 109.46938 * 178.54640 * 29 27 13 53 53 H 1.09000 * 109.47110 * 298.54251 * 29 27 13 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 6 2.0400 1.4425 0.0000 4 7 2.0183 -0.6907 1.1961 5 6 2.1470 -2.0323 1.1943 6 8 1.8589 -2.6678 0.2023 7 6 2.6499 -2.7426 2.4245 8 7 2.6997 -4.1884 2.1692 9 6 1.3501 -4.7358 1.9767 10 6 3.4031 -4.8902 3.2511 11 6 3.6507 -6.3202 2.8447 12 8 3.2783 -6.7155 1.7603 13 7 4.2859 -7.1596 3.6863 14 6 4.7890 -6.8131 5.0280 15 6 4.8441 -8.1602 5.7910 16 6 5.2963 -9.1349 4.6717 17 1 6.3790 -9.1066 4.5498 18 7 4.8406 -10.4979 4.9560 19 6 5.6000 -11.3237 5.7411 20 1 6.5349 -10.9705 6.1505 21 6 5.1686 -12.6155 6.0102 22 7 4.0295 -13.0462 5.5109 23 14 6.2041 -13.7418 7.0818 24 1 7.4292 -13.0236 7.5158 25 1 5.4194 -14.1487 8.2751 26 1 6.5869 -14.9488 6.3061 27 6 4.5908 -8.5727 3.4188 28 1 3.6678 -9.1229 3.2357 29 6 5.5133 -8.6849 2.2035 30 1 -0.3634 -1.0277 0.0005 31 1 -0.3633 0.5139 0.8900 32 1 -0.3634 0.5139 -0.8900 33 1 1.8932 -0.5139 -0.8900 34 1 3.1300 1.4424 -0.0005 35 1 1.6766 1.9563 -0.8900 36 1 1.6767 1.9563 0.8900 37 1 2.2491 -0.1824 1.9894 38 1 1.9778 -2.5437 3.2592 39 1 3.6493 -2.3825 2.6690 40 1 0.7773 -4.6223 2.8971 41 1 0.8516 -4.1982 1.1700 42 1 1.4200 -5.7928 1.7202 43 1 2.7930 -4.8697 4.1543 44 1 4.3557 -4.3974 3.4448 45 1 4.1049 -6.1243 5.5235 46 1 5.7849 -6.3755 4.9585 47 1 5.5774 -8.1233 6.5966 48 1 3.8605 -8.4333 6.1731 49 1 4.0011 -10.8153 4.5881 50 1 3.7278 -13.9487 5.6992 51 1 6.4304 -8.1264 2.3906 52 1 5.7557 -9.7329 2.0269 53 1 5.0110 -8.2756 1.3270 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 ZINC001486085642.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 06:12:54 Heat of formation + Delta-G solvation = -42.412088 kcal Electronic energy + Delta-G solvation = -30156.436704 eV Core-core repulsion = 26063.928070 eV Total energy + Delta-G solvation = -4092.508634 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 1.01 seconds Orbital eigenvalues (eV) -40.38513 -39.85362 -37.86614 -36.66356 -35.72310 -34.11220 -32.12863 -31.73297 -30.89279 -29.55863 -28.44818 -27.70052 -27.67961 -25.19436 -23.94582 -23.00736 -22.22726 -21.41543 -20.70125 -20.06133 -18.77443 -17.45889 -17.25475 -16.98218 -16.39341 -16.19852 -15.82559 -15.38536 -15.05676 -14.77825 -14.62380 -14.23557 -14.18047 -13.79588 -13.51922 -13.38821 -13.34739 -13.10990 -12.89376 -12.77255 -12.61915 -12.52389 -12.31900 -12.11084 -11.89618 -11.82850 -11.64648 -11.57684 -11.52089 -11.39006 -11.11255 -11.00226 -10.85781 -10.58359 -10.22940 -10.06087 -9.97693 -9.76489 -9.44534 -9.37109 -8.95649 -8.47755 -8.32326 -7.03356 -5.82057 -3.12467 2.41180 2.61948 2.85628 3.13326 3.40355 3.45963 3.48424 3.86655 4.31770 4.52365 4.54356 4.57104 4.61483 4.79437 4.86789 4.86976 4.99899 5.07949 5.10241 5.10946 5.23287 5.27149 5.31908 5.36107 5.47768 5.48930 5.49909 5.56576 5.58767 5.65931 5.69240 5.81614 5.82014 5.97002 6.10756 6.13783 6.14949 6.29187 6.31426 6.47954 6.59491 6.62132 6.67279 6.76969 6.83351 6.93563 7.20004 7.65646 7.82054 8.01068 8.35069 8.45947 9.46792 10.01691 10.36322 11.40157 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.036667 B = 0.001767 C = 0.001748 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 763.442504 B =15837.966153 C =16011.375871 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.164 4.164 2 C 0.136 3.864 3 C -0.160 4.160 4 N -0.733 5.733 5 C 0.514 3.486 6 O -0.512 6.512 7 C 0.036 3.964 8 N -0.506 5.506 9 C 0.014 3.986 10 C 0.042 3.958 11 C 0.527 3.473 12 O -0.520 6.520 13 N -0.612 5.612 14 C 0.098 3.902 15 C -0.156 4.156 16 C 0.177 3.823 17 H 0.064 0.936 18 N -0.715 5.715 19 C -0.243 4.243 20 H 0.073 0.927 21 C -0.011 4.011 22 N -0.929 5.929 23 Si 0.908 3.092 24 H -0.280 1.280 25 H -0.292 1.292 26 H -0.291 1.291 27 C 0.129 3.871 28 H 0.076 0.924 29 C -0.154 4.154 30 H 0.061 0.939 31 H 0.055 0.945 32 H 0.064 0.936 33 H 0.088 0.912 34 H 0.062 0.938 35 H 0.072 0.928 36 H 0.060 0.940 37 H 0.398 0.602 38 H 0.063 0.937 39 H 0.104 0.896 40 H 0.015 0.985 41 H 0.084 0.916 42 H 0.092 0.908 43 H 0.063 0.937 44 H 0.102 0.898 45 H 0.066 0.934 46 H 0.065 0.935 47 H 0.075 0.925 48 H 0.074 0.926 49 H 0.386 0.614 50 H 0.256 0.744 51 H 0.049 0.951 52 H 0.068 0.932 53 H 0.062 0.938 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.333 30.695 -4.237 31.165 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 -0.222 4.222 2 C 0.032 3.968 3 C -0.218 4.218 4 N -0.387 5.387 5 C 0.299 3.701 6 O -0.385 6.385 7 C -0.096 4.096 8 N -0.230 5.230 9 C -0.133 4.133 10 C -0.089 4.089 11 C 0.314 3.686 12 O -0.395 6.395 13 N -0.348 5.348 14 C -0.025 4.025 15 C -0.197 4.197 16 C 0.065 3.935 17 H 0.082 0.918 18 N -0.355 5.355 19 C -0.374 4.374 20 H 0.091 0.909 21 C -0.207 4.207 22 N -0.577 5.577 23 Si 0.739 3.261 24 H -0.205 1.205 25 H -0.219 1.219 26 H -0.218 1.218 27 C 0.026 3.974 28 H 0.094 0.906 29 C -0.212 4.212 30 H 0.080 0.920 31 H 0.074 0.926 32 H 0.083 0.917 33 H 0.106 0.894 34 H 0.081 0.919 35 H 0.091 0.909 36 H 0.079 0.921 37 H 0.232 0.768 38 H 0.081 0.919 39 H 0.122 0.878 40 H 0.033 0.967 41 H 0.102 0.898 42 H 0.110 0.890 43 H 0.081 0.919 44 H 0.120 0.880 45 H 0.084 0.916 46 H 0.083 0.917 47 H 0.094 0.906 48 H 0.093 0.907 49 H 0.220 0.780 50 H 0.066 0.934 51 H 0.068 0.932 52 H 0.087 0.913 53 H 0.081 0.919 Dipole moment (debyes) X Y Z Total from point charges -3.402 29.855 -5.969 30.635 hybrid contribution -0.073 -0.272 1.872 1.893 sum -3.475 29.583 -4.098 30.066 Atomic orbital electron populations 1.22188 0.95334 1.02707 1.01980 1.20913 0.94122 0.92741 0.89012 1.22073 1.01759 0.95044 1.02891 1.46116 1.68783 1.07007 1.16828 1.20529 0.77674 0.81979 0.89908 1.90723 1.47903 1.65398 1.34492 1.21988 1.02667 0.89907 0.95000 1.61295 1.19803 1.00167 1.41757 1.22732 0.86952 1.03622 0.99989 1.21975 1.00547 0.93312 0.93094 1.19919 0.77940 0.86573 0.84161 1.90683 1.50297 1.77091 1.21466 1.48585 1.57340 1.11745 1.17083 1.22377 0.98454 0.98875 0.82822 1.23562 1.02915 0.93734 0.99487 1.21245 0.96676 0.86037 0.89568 0.91778 1.42350 1.25343 1.08039 1.59808 1.19249 1.02110 0.93313 1.22728 0.90935 1.24770 0.97455 0.97492 1.00980 1.69679 1.21423 1.17806 1.48790 0.86110 0.79287 0.80887 0.79816 1.20504 1.21864 1.21821 1.21874 0.98884 0.80237 0.96429 0.90613 1.22039 0.98771 1.02392 0.98012 0.92028 0.92591 0.91660 0.89375 0.91928 0.90944 0.92111 0.76846 0.91875 0.87803 0.96691 0.89755 0.88989 0.91929 0.88028 0.91588 0.91716 0.90622 0.90679 0.77985 0.93431 0.93167 0.91272 0.91854 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 C -0.16 -1.03 9.48 37.16 0.35 -0.68 16 2 C 0.14 0.87 3.18 -67.93 -0.22 0.66 16 3 C -0.16 -0.60 9.38 37.16 0.35 -0.25 16 4 N -0.73 -4.66 5.08 -53.81 -0.27 -4.93 16 5 C 0.51 5.09 7.49 -10.98 -0.08 5.00 16 6 O -0.51 -7.47 14.00 5.56 0.08 -7.39 16 7 C 0.04 0.29 5.45 -4.98 -0.03 0.27 16 8 N -0.51 -6.23 4.24 -245.82 -1.04 -7.27 16 9 C 0.01 0.19 8.85 60.07 0.53 0.72 16 10 C 0.04 0.46 4.45 -4.97 -0.02 0.44 16 11 C 0.53 8.17 7.37 -10.99 -0.08 8.09 16 12 O -0.52 -10.08 13.34 5.56 0.07 -10.01 16 13 N -0.61 -9.31 3.07 -162.99 -0.50 -9.81 16 14 C 0.10 1.22 6.69 -2.53 -0.02 1.20 16 15 C -0.16 -2.47 6.77 -24.58 -0.17 -2.63 16 16 C 0.18 3.35 3.12 -66.07 -0.21 3.14 16 17 H 0.06 1.22 7.84 -51.93 -0.41 0.81 16 18 N -0.71 -17.29 5.25 -51.62 -0.27 -17.56 16 19 C -0.24 -6.49 9.98 -15.06 -0.15 -6.64 16 20 H 0.07 1.87 7.83 -52.48 -0.41 1.46 16 21 C -0.01 -0.29 5.50 -17.43 -0.10 -0.39 16 22 N -0.93 -27.63 13.06 55.49 0.72 -26.91 16 23 Si 0.91 21.88 29.55 -169.99 -5.02 16.86 16 24 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 25 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 26 H -0.29 -7.11 7.11 56.52 0.40 -6.71 16 27 C 0.13 2.31 3.20 -66.93 -0.21 2.09 16 28 H 0.08 1.54 7.69 -51.93 -0.40 1.14 16 29 C -0.15 -2.66 9.12 37.16 0.34 -2.32 16 30 H 0.06 0.53 8.14 -51.93 -0.42 0.11 16 31 H 0.05 0.29 8.14 -51.93 -0.42 -0.13 16 32 H 0.06 0.34 8.14 -51.93 -0.42 -0.08 16 33 H 0.09 0.77 7.58 -51.93 -0.39 0.37 16 34 H 0.06 0.24 8.14 -51.93 -0.42 -0.18 16 35 H 0.07 0.23 8.14 -51.93 -0.42 -0.19 16 36 H 0.06 0.17 8.14 -51.93 -0.42 -0.25 16 37 H 0.40 1.31 8.60 -40.82 -0.35 0.96 16 38 H 0.06 0.38 8.12 -51.93 -0.42 -0.04 16 39 H 0.10 0.60 7.93 -51.93 -0.41 0.19 16 40 H 0.01 0.17 8.14 -51.93 -0.42 -0.25 16 41 H 0.08 1.20 5.83 -51.92 -0.30 0.90 16 42 H 0.09 1.49 5.88 -51.93 -0.31 1.19 16 43 H 0.06 0.59 7.82 -51.93 -0.41 0.18 16 44 H 0.10 0.88 7.93 -51.93 -0.41 0.47 16 45 H 0.07 0.66 7.47 -51.93 -0.39 0.27 16 46 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 47 H 0.08 1.14 8.14 -51.93 -0.42 0.71 16 48 H 0.07 1.31 8.14 -51.93 -0.42 0.89 16 49 H 0.39 10.12 7.51 -40.82 -0.31 9.82 16 50 H 0.26 7.37 8.31 -40.82 -0.34 7.03 16 51 H 0.05 0.79 8.14 -51.93 -0.42 0.37 16 52 H 0.07 1.23 8.14 -51.93 -0.42 0.81 16 53 H 0.06 1.15 6.87 -51.93 -0.36 0.80 16 LS Contribution 419.85 15.07 6.33 6.33 Total: -1.00 -34.76 419.85 -9.09 -43.86 By element: Atomic # 1 Polarization: 17.61 SS G_CDS: -9.48 Total: 8.13 kcal Atomic # 6 Polarization: 8.42 SS G_CDS: 0.29 Total: 8.71 kcal Atomic # 7 Polarization: -65.12 SS G_CDS: -1.36 Total: -66.48 kcal Atomic # 8 Polarization: -17.56 SS G_CDS: 0.15 Total: -17.40 kcal Atomic # 14 Polarization: 21.88 SS G_CDS: -5.02 Total: 16.86 kcal Total LS contribution 6.33 Total: 6.33 kcal Total: -34.76 -9.09 -43.86 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. ZINC001486085642.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 1.445 kcal (2) G-P(sol) polarization free energy of solvation -34.763 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -33.318 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.094 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -43.857 kcal (6) G-S(sol) free energy of system = (1) + (5) -42.412 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.01 seconds