Wall clock time and date at job start Sat Apr 11 2020 04:52:34 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 1.30997 * 1 3 3 C 1.50700 * 120.00163 * 2 1 4 4 C 1.53004 * 109.46755 * 125.00154 * 3 2 1 5 5 C 1.50695 * 109.47374 * 299.99613 * 4 3 2 6 6 O 1.21278 * 120.00482 * 240.00541 * 5 4 3 7 7 N 1.34782 * 119.99685 * 60.00310 * 5 4 3 8 8 C 1.46499 * 119.99813 * 180.02562 * 7 5 4 9 9 H 1.08996 * 109.46508 * 35.00128 * 8 7 5 10 10 C 1.53040 * 109.45947 * 275.02530 * 8 7 5 11 11 C 1.53191 * 109.31051 * 178.61501 * 10 8 7 12 12 N 1.46929 * 108.77819 * 54.64070 * 11 10 8 13 13 C 1.36936 * 120.63773 * 126.41091 * 12 11 10 14 14 H 1.07997 * 120.00320 * 207.67705 * 13 12 11 15 15 C 1.38815 * 119.99386 * 27.67099 * 13 12 11 16 16 N 1.31612 * 120.00247 * 17.36085 * 15 13 12 17 17 Si 1.86805 * 119.99734 * 197.35881 * 15 13 12 18 18 H 1.48499 * 109.47366 * 89.99930 * 17 15 13 19 19 H 1.48492 * 109.47187 * 210.00442 * 17 15 13 20 20 H 1.48509 * 109.47017 * 330.00335 * 17 15 13 21 21 C 1.46933 * 118.73510 * 306.38665 * 12 11 10 22 22 C 1.53044 * 109.46023 * 154.97334 * 8 7 5 23 23 H 1.08999 * 109.50120 * 61.43108 * 22 8 7 24 24 O 1.42904 * 109.49556 * 301.33616 * 22 8 7 25 25 C 1.53001 * 109.47066 * 60.00102 * 4 3 2 26 26 C 1.53008 * 109.46755 * 179.97438 * 25 4 3 27 27 C 1.52993 * 109.47138 * 299.99881 * 26 25 4 28 28 C 1.52999 * 109.47424 * 60.00083 * 27 26 25 29 29 C 1.53004 * 109.47206 * 299.99905 * 28 27 26 30 30 H 1.07996 * 120.00501 * 180.02562 * 1 2 3 31 31 H 1.08003 * 119.99672 * 0.02562 * 1 2 3 32 32 H 1.08003 * 119.99672 * 179.97438 * 2 1 3 33 33 H 1.08997 * 109.47243 * 4.99924 * 3 2 1 34 34 H 1.09000 * 109.47216 * 244.99718 * 3 2 1 35 35 H 0.97000 * 119.99916 * 0.27330 * 7 5 4 36 36 H 1.08997 * 109.50062 * 298.56493 * 10 8 7 37 37 H 1.08995 * 109.49688 * 58.63614 * 10 8 7 38 38 H 1.09009 * 109.58386 * 174.42431 * 11 10 8 39 39 H 1.08998 * 109.58964 * 294.70414 * 11 10 8 40 40 H 0.97004 * 119.99748 * 179.97438 * 16 15 13 41 41 H 1.08996 * 109.58669 * 173.39660 * 21 12 11 42 42 H 1.08997 * 109.58272 * 293.68188 * 21 12 11 43 43 H 0.96705 * 114.00043 * 179.97438 * 24 22 8 44 44 H 1.08997 * 109.47003 * 299.99272 * 25 4 3 45 45 H 1.09000 * 109.47542 * 60.00046 * 25 4 3 46 46 H 1.09003 * 109.46787 * 179.97438 * 26 25 4 47 47 H 1.09000 * 109.46926 * 59.99830 * 26 25 4 48 48 H 1.09000 * 109.47078 * 300.00348 * 27 26 25 49 49 H 1.09003 * 109.47387 * 180.02562 * 27 26 25 50 50 H 1.09005 * 109.47434 * 180.02562 * 28 27 26 51 51 H 1.09000 * 109.47178 * 59.99722 * 28 27 26 52 52 H 1.09000 * 109.46902 * 299.99986 * 29 28 27 53 53 H 1.08999 * 109.47235 * 179.97438 * 29 28 27 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 1.3100 0.0000 0.0000 3 6 2.0635 1.3051 0.0000 4 6 3.0351 1.3329 1.1817 5 6 2.2639 1.1982 2.4693 6 8 2.3206 2.0755 3.3048 7 7 1.5112 0.1027 2.6925 8 6 0.7611 -0.0281 3.9441 9 1 0.4066 0.9532 4.2593 10 6 1.6722 -0.6127 5.0259 11 6 0.8947 -0.7156 6.3418 12 7 -0.3337 -1.4866 6.1062 13 6 -0.6311 -2.5784 6.8774 14 1 -1.2329 -3.3782 6.4719 15 6 -0.1588 -2.6570 8.1804 16 7 0.2702 -1.5732 8.7914 17 14 -0.1321 -4.3013 9.0665 18 1 1.1672 -4.9763 8.8185 19 1 -0.3049 -4.0806 10.5247 20 1 -1.2375 -5.1543 8.5605 21 6 -1.2374 -1.0635 5.0277 22 6 -0.4357 -0.9568 3.7266 23 1 -0.0809 -1.9455 3.4356 24 8 -1.2700 -0.4260 2.6949 25 6 4.0245 0.1727 1.0558 26 6 4.9964 0.2010 2.2372 27 6 5.7614 1.5259 2.2366 28 6 4.7720 2.6862 2.3624 29 6 3.8001 2.6580 1.1810 30 1 -0.5401 -0.9352 0.0004 31 1 -0.5400 0.9354 -0.0004 32 1 1.8499 -0.9354 0.0004 33 1 1.3586 2.1316 0.0895 34 1 2.6213 1.4026 -0.9314 35 1 1.4690 -0.6008 2.0260 36 1 2.0070 -1.6046 4.7226 37 1 2.5366 0.0368 5.1634 38 1 1.5062 -1.2219 7.0888 39 1 0.6395 0.2836 6.6946 40 1 0.5998 -1.6281 9.7021 41 1 -2.0327 -1.7991 4.9076 42 1 -1.6705 -0.0939 5.2733 43 1 -2.0497 -0.9650 2.5032 44 1 3.4794 -0.7712 1.0559 45 1 4.5823 0.2702 0.1245 46 1 5.7011 -0.6259 2.1478 47 1 4.4389 0.1037 3.1688 48 1 6.3189 1.6232 1.3050 49 1 6.4542 1.5460 3.0780 50 1 5.3170 3.6302 2.3615 51 1 4.2145 2.5890 3.2939 52 1 4.3576 2.7552 0.2495 53 1 3.0950 3.4843 1.2708 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC001100122498.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 04:52:34 Heat of formation + Delta-G solvation = -63.337501 kcal Electronic energy + Delta-G solvation = -32165.445581 eV Core-core repulsion = 28230.192854 eV Total energy + Delta-G solvation = -3935.252727 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 1.07 seconds Orbital eigenvalues (eV) -40.89272 -38.49324 -36.88248 -35.47641 -35.33058 -33.98800 -31.87076 -31.34853 -30.73644 -29.80010 -28.46018 -26.15734 -25.27190 -23.21039 -22.84538 -22.25175 -21.56441 -20.64555 -19.87143 -19.51735 -18.82560 -17.09139 -16.57528 -16.29245 -16.03797 -15.59480 -14.98155 -14.77506 -14.62626 -14.23781 -13.98603 -13.84563 -13.72871 -13.59705 -13.44123 -13.16048 -12.83682 -12.58382 -12.31351 -12.24248 -12.07938 -11.98359 -11.93666 -11.56084 -11.49356 -11.19285 -11.10530 -11.06000 -10.88799 -10.68553 -10.58055 -10.29222 -10.20752 -10.19188 -10.02295 -9.93524 -9.71162 -9.58395 -9.28162 -9.05411 -8.60998 -8.37045 -6.76706 -5.84577 -3.28620 2.25483 3.01526 3.34122 3.41023 3.42550 3.53558 4.38566 4.46461 4.54084 4.64821 4.67192 4.94415 4.95038 5.13437 5.17327 5.24883 5.32152 5.33885 5.39062 5.43595 5.48459 5.50643 5.53670 5.58937 5.61170 5.77747 5.81727 5.82734 5.88961 5.93301 5.97538 6.01315 6.14428 6.17232 6.19765 6.26289 6.30448 6.37590 6.50776 6.55960 6.58510 6.67471 6.70235 6.72510 6.79459 7.01329 7.30800 7.62002 7.73064 7.92870 7.95322 8.38016 8.64903 9.13604 9.76178 10.32176 11.23821 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.014827 B = 0.003657 C = 0.003214 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1887.981284 B = 7654.078445 C = 8709.467177 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.143 4.143 2 C -0.190 4.190 3 C -0.077 4.077 4 C -0.072 4.072 5 C 0.526 3.474 6 O -0.542 6.542 7 N -0.711 5.711 8 C 0.163 3.837 9 H 0.085 0.915 10 C -0.145 4.145 11 C 0.172 3.828 12 N -0.588 5.588 13 C -0.260 4.260 14 H 0.067 0.933 15 C 0.006 3.994 16 N -0.899 5.899 17 Si 0.903 3.097 18 H -0.287 1.287 19 H -0.290 1.290 20 H -0.279 1.279 21 C 0.121 3.879 22 C 0.083 3.917 23 H 0.052 0.948 24 O -0.565 6.565 25 C -0.105 4.105 26 C -0.125 4.125 27 C -0.116 4.116 28 C -0.135 4.135 29 C -0.090 4.090 30 H 0.097 0.903 31 H 0.094 0.906 32 H 0.109 0.891 33 H 0.070 0.930 34 H 0.078 0.922 35 H 0.395 0.605 36 H 0.055 0.945 37 H 0.060 0.940 38 H 0.092 0.908 39 H 0.023 0.977 40 H 0.255 0.745 41 H 0.058 0.942 42 H 0.028 0.972 43 H 0.370 0.630 44 H 0.065 0.935 45 H 0.071 0.929 46 H 0.062 0.938 47 H 0.065 0.935 48 H 0.056 0.944 49 H 0.059 0.941 50 H 0.055 0.945 51 H 0.095 0.905 52 H 0.062 0.938 53 H 0.066 0.934 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.243 3.537 -19.703 20.969 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 -0.180 4.180 2 C -0.208 4.208 3 C -0.115 4.115 4 C -0.075 4.075 5 C 0.312 3.688 6 O -0.419 6.419 7 N -0.363 5.363 8 C 0.059 3.941 9 H 0.103 0.897 10 C -0.185 4.185 11 C 0.045 3.955 12 N -0.312 5.312 13 C -0.389 4.389 14 H 0.084 0.916 15 C -0.193 4.193 16 N -0.542 5.542 17 Si 0.733 3.267 18 H -0.214 1.214 19 H -0.217 1.217 20 H -0.204 1.204 21 C -0.007 4.007 22 C 0.022 3.978 23 H 0.070 0.930 24 O -0.369 6.369 25 C -0.142 4.142 26 C -0.163 4.163 27 C -0.154 4.154 28 C -0.172 4.172 29 C -0.128 4.128 30 H 0.115 0.885 31 H 0.113 0.887 32 H 0.127 0.873 33 H 0.089 0.911 34 H 0.096 0.904 35 H 0.232 0.768 36 H 0.074 0.926 37 H 0.079 0.921 38 H 0.110 0.890 39 H 0.041 0.959 40 H 0.065 0.935 41 H 0.076 0.924 42 H 0.046 0.954 43 H 0.216 0.784 44 H 0.084 0.916 45 H 0.089 0.911 46 H 0.081 0.919 47 H 0.084 0.916 48 H 0.074 0.926 49 H 0.078 0.922 50 H 0.074 0.926 51 H 0.113 0.887 52 H 0.081 0.919 53 H 0.085 0.915 Dipole moment (debyes) X Y Z Total from point charges 6.773 4.644 -18.913 20.619 hybrid contribution -0.446 -1.698 0.278 1.778 sum 6.327 2.946 -18.635 19.899 Atomic orbital electron populations 1.23781 0.95501 1.01976 0.96759 1.22807 0.96231 0.98073 1.03660 1.20730 0.97493 0.96158 0.97083 1.20869 0.95359 0.97938 0.93362 1.20243 0.79039 0.81688 0.87791 1.90611 1.63613 1.40695 1.47022 1.46377 1.47749 1.21503 1.20632 1.20930 0.89815 0.99772 0.83625 0.89739 1.22580 0.98553 0.99752 0.97654 1.20814 0.87221 0.95203 0.92225 1.44031 1.19299 1.32203 1.35630 1.19169 1.32048 0.95089 0.92598 0.91565 1.25056 1.01484 0.96944 0.95855 1.70038 1.46062 1.25975 1.12139 0.86280 0.77986 0.83591 0.78825 1.21363 1.21681 1.20417 1.21524 0.92712 0.98408 0.88012 1.22713 0.90919 0.95158 0.89014 0.93025 1.86520 1.39541 1.53762 1.57030 1.21619 0.96519 0.96850 0.99253 1.21587 0.98257 0.97647 0.98770 1.21516 0.97779 0.94895 1.01207 1.21805 0.97029 0.97387 1.00985 1.21336 0.97787 0.95128 0.98541 0.88474 0.88733 0.87345 0.91128 0.90384 0.76763 0.92611 0.92100 0.89004 0.95926 0.93452 0.92376 0.95426 0.78431 0.91597 0.91061 0.91895 0.91581 0.92561 0.92249 0.92594 0.88685 0.91916 0.91521 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 17. 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 -1.41 12.86 29.02 0.37 -1.04 16 2 C -0.19 -1.80 5.81 -36.03 -0.21 -2.01 16 3 C -0.08 -0.75 4.72 -27.88 -0.13 -0.88 16 4 C -0.07 -0.82 0.50 -155.66 -0.08 -0.90 16 5 C 0.53 8.01 4.90 -10.99 -0.05 7.95 16 6 O -0.54 -10.27 13.32 5.56 0.07 -10.20 16 7 N -0.71 -10.56 4.13 -53.77 -0.22 -10.78 16 8 C 0.16 2.92 2.12 -67.89 -0.14 2.78 16 9 H 0.08 1.78 7.58 -51.93 -0.39 1.38 16 10 C -0.14 -2.87 5.65 -26.61 -0.15 -3.02 16 11 C 0.17 4.12 5.31 -3.71 -0.02 4.10 16 12 N -0.59 -14.36 2.99 -172.31 -0.52 -14.88 16 13 C -0.26 -6.94 9.59 -15.06 -0.14 -7.08 16 14 H 0.07 1.72 7.89 -52.49 -0.41 1.31 16 15 C 0.01 0.16 4.91 -17.43 -0.09 0.08 16 16 N -0.90 -25.87 11.19 55.49 0.62 -25.25 16 17 Si 0.90 21.29 29.59 -169.99 -5.03 16.27 16 18 H -0.29 -6.74 7.11 56.52 0.40 -6.34 16 19 H -0.29 -6.95 7.11 56.52 0.40 -6.54 16 20 H -0.28 -6.41 7.11 56.52 0.40 -6.01 16 21 C 0.12 2.45 6.14 -3.71 -0.02 2.43 16 22 C 0.08 1.38 3.14 -26.61 -0.08 1.30 16 23 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 24 O -0.56 -7.90 12.09 -35.23 -0.43 -8.32 16 25 C -0.10 -1.04 4.38 -26.73 -0.12 -1.16 16 26 C -0.13 -1.40 5.70 -26.73 -0.15 -1.55 16 27 C -0.12 -1.25 5.92 -26.73 -0.16 -1.41 16 28 C -0.13 -1.65 5.63 -26.73 -0.15 -1.80 16 29 C -0.09 -1.01 4.37 -26.73 -0.12 -1.13 16 30 H 0.10 0.88 8.06 -52.49 -0.42 0.46 16 31 H 0.09 1.00 7.84 -52.48 -0.41 0.59 16 32 H 0.11 0.93 6.67 -52.48 -0.35 0.58 16 33 H 0.07 0.76 7.79 -51.93 -0.40 0.35 16 34 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 35 H 0.40 5.15 5.03 -40.82 -0.21 4.95 16 36 H 0.06 1.08 8.14 -51.93 -0.42 0.66 16 37 H 0.06 1.21 8.14 -51.93 -0.42 0.79 16 38 H 0.09 2.46 6.04 -51.92 -0.31 2.14 16 39 H 0.02 0.59 8.14 -51.93 -0.42 0.16 16 40 H 0.26 7.12 8.31 -40.82 -0.34 6.78 16 41 H 0.06 1.11 7.93 -51.93 -0.41 0.70 16 42 H 0.03 0.60 8.14 -51.93 -0.42 0.17 16 43 H 0.37 3.76 9.08 45.56 0.41 4.17 16 44 H 0.07 0.63 5.97 -51.93 -0.31 0.32 16 45 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 46 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 47 H 0.07 0.91 7.22 -51.93 -0.37 0.54 16 48 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 49 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 50 H 0.06 0.62 8.14 -51.93 -0.42 0.20 16 51 H 0.09 1.48 5.51 -51.93 -0.29 1.20 16 52 H 0.06 0.58 8.14 -51.93 -0.42 0.15 16 53 H 0.07 0.82 8.10 -51.93 -0.42 0.40 16 LS Contribution 393.01 15.07 5.92 5.92 Total: -1.00 -30.65 393.01 -9.53 -40.18 By element: Atomic # 1 Polarization: 18.92 SS G_CDS: -8.51 Total: 10.41 kcal Atomic # 6 Polarization: -1.89 SS G_CDS: -1.44 Total: -3.34 kcal Atomic # 7 Polarization: -50.80 SS G_CDS: -0.12 Total: -50.92 kcal Atomic # 8 Polarization: -18.17 SS G_CDS: -0.35 Total: -18.52 kcal Atomic # 14 Polarization: 21.29 SS G_CDS: -5.03 Total: 16.27 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -30.65 -9.53 -40.18 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. ZINC001100122498.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 -23.156 kcal (2) G-P(sol) polarization free energy of solvation -30.647 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -53.803 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.535 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.181 kcal (6) G-S(sol) free energy of system = (1) + (5) -63.338 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds