Wall clock time and date at job start Sat Apr 11 2020 06:10:01 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 1.53002 * 1 3 3 C 1.53009 * 109.46617 * 2 1 4 4 C 1.52994 * 109.47696 * 119.99751 * 2 1 3 5 5 H 1.09009 * 109.47024 * 300.00624 * 4 2 1 6 6 C 1.53001 * 109.46968 * 60.00191 * 4 2 1 7 7 C 1.53002 * 109.47141 * 184.99974 * 6 4 2 8 8 N 1.46498 * 109.46930 * 180.02562 * 7 6 4 9 9 C 1.34780 * 119.99613 * 180.02562 * 8 7 6 10 10 O 1.21282 * 120.00203 * 359.97438 * 9 8 7 11 11 C 1.50704 * 119.99788 * 180.02562 * 9 8 7 12 12 H 1.09002 * 110.37438 * 304.29416 * 11 9 8 13 13 O 1.43925 * 110.41830 * 181.92301 * 11 9 8 14 14 C 1.43773 * 109.64112 * 215.05273 * 13 11 9 15 15 C 1.53674 * 106.82659 * 1.34958 * 14 13 11 16 16 H 1.08998 * 109.73977 * 267.35217 * 15 14 13 17 17 C 1.51239 * 112.32706 * 144.99108 * 15 14 13 18 18 O 1.42710 * 111.49145 * 294.99410 * 17 15 14 19 19 C 1.43194 * 112.75036 * 299.55245 * 18 17 15 20 20 C 1.52757 * 108.43733 * 64.92000 * 19 18 17 21 21 C 1.53095 * 110.45825 * 300.08138 * 20 19 18 22 22 H 1.08997 * 113.39350 * 283.62730 * 21 20 19 23 23 N 1.46498 * 109.47323 * 180.02562 * 4 2 1 24 24 C 1.36943 * 120.00064 * 85.00111 * 23 4 2 25 25 H 1.07999 * 119.99484 * 0.02562 * 24 23 4 26 26 C 1.38808 * 120.00032 * 180.02562 * 24 23 4 27 27 N 1.31618 * 119.99932 * 359.97438 * 26 24 23 28 28 Si 1.86802 * 119.99988 * 180.02562 * 26 24 23 29 29 H 1.48496 * 109.47182 * 60.00025 * 28 26 24 30 30 H 1.48504 * 109.47153 * 179.97438 * 28 26 24 31 31 H 1.48501 * 109.46775 * 299.99310 * 28 26 24 32 32 H 1.08999 * 109.46986 * 299.99519 * 1 2 3 33 33 H 1.08991 * 109.47243 * 60.00441 * 1 2 3 34 34 H 1.09008 * 109.46127 * 180.02562 * 1 2 3 35 35 H 1.09001 * 109.47500 * 240.00440 * 2 1 3 36 36 H 1.09000 * 109.46908 * 180.02562 * 3 2 1 37 37 H 1.09004 * 109.46795 * 299.99913 * 3 2 1 38 38 H 1.08996 * 109.47202 * 59.99771 * 3 2 1 39 39 H 1.08999 * 109.46536 * 65.00409 * 6 4 2 40 40 H 1.08994 * 109.47330 * 305.00003 * 6 4 2 41 41 H 1.09005 * 109.47160 * 60.00037 * 7 6 4 42 42 H 1.09004 * 109.47067 * 300.00235 * 7 6 4 43 43 H 0.96997 * 120.00421 * 0.02562 * 8 7 6 44 44 H 1.08998 * 109.98730 * 120.69094 * 14 13 11 45 45 H 1.09003 * 109.98828 * 241.96843 * 14 13 11 46 46 H 1.08997 * 109.07908 * 55.50962 * 17 15 14 47 47 H 1.09000 * 109.07444 * 174.47991 * 17 15 14 48 48 H 1.09001 * 109.64276 * 184.60553 * 19 18 17 49 49 H 1.09002 * 109.64545 * 305.23486 * 19 18 17 50 50 H 1.09005 * 109.30343 * 60.37809 * 20 19 18 51 51 H 1.08999 * 109.31108 * 179.77258 * 20 19 18 52 52 H 0.96999 * 120.00248 * 264.99568 * 23 4 2 53 53 H 0.97003 * 119.99861 * 180.02562 * 27 26 24 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 2.0399 1.4426 0.0000 4 6 2.0401 -0.7211 1.2492 5 1 1.6767 -0.2073 2.1392 6 6 1.5302 -2.1637 1.2492 7 6 1.9351 -2.8477 2.5566 8 7 1.4474 -4.2291 2.5563 9 6 1.6876 -5.0287 3.6144 10 8 2.3080 -4.6048 4.5664 11 6 1.1864 -6.4500 3.6139 12 1 0.1093 -6.4725 3.4480 13 8 1.5170 -7.0994 4.8550 14 6 1.8148 -8.4846 4.6112 15 6 1.6904 -8.7064 3.0957 16 1 0.6809 -9.0386 2.8539 17 6 2.6962 -9.7099 2.5774 18 8 4.0333 -9.2328 2.7227 19 6 4.2689 -8.0175 2.0030 20 6 3.4045 -6.9175 2.6165 21 6 1.9220 -7.2884 2.5252 22 1 1.5037 -7.1572 1.5272 23 7 3.5051 -0.7206 1.2494 24 6 4.1894 0.3545 1.7509 25 1 3.6489 1.2017 2.1465 26 6 5.5774 0.3553 1.7506 27 7 6.2360 -0.6775 1.2688 28 14 6.5108 1.8214 2.4353 29 1 6.1522 2.0134 3.8634 30 1 7.9709 1.5761 2.3207 31 1 6.1512 3.0399 1.6663 32 1 -0.3633 0.5138 0.8900 33 1 -0.3633 0.5137 -0.8899 34 1 -0.3632 -1.0278 0.0005 35 1 1.8934 -0.5138 -0.8900 36 1 3.1299 1.4427 -0.0005 37 1 1.6765 1.9564 -0.8900 38 1 1.6765 1.9564 0.8899 39 1 1.9649 -2.7026 0.4074 40 1 0.4440 -2.1651 1.1597 41 1 1.5005 -2.3087 3.3984 42 1 3.0215 -2.8463 2.6461 43 1 0.9516 -4.5683 1.7947 44 1 2.8295 -8.7108 4.9389 45 1 1.1027 -9.1176 5.1407 46 1 2.5883 -10.6417 3.1325 47 1 2.4985 -9.9001 1.5225 48 1 5.3209 -7.7433 2.0813 49 1 3.9996 -8.1537 0.9556 50 1 3.6790 -6.7850 3.6630 51 1 3.5760 -5.9836 2.0811 52 1 3.9905 -1.4817 0.8945 53 1 7.2060 -0.6771 1.2690 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 ZINC001700713421.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 06:10:01 Heat of formation + Delta-G solvation = -127.993884 kcal Electronic energy + Delta-G solvation = -31402.013524 eV Core-core repulsion = 27273.501034 eV Total energy + Delta-G solvation = -4128.512490 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.87 seconds Orbital eigenvalues (eV) -41.31146 -39.14017 -37.75072 -37.30371 -34.69516 -33.34082 -33.05137 -32.21871 -31.19431 -29.77729 -28.76303 -26.37118 -25.80863 -25.30032 -23.88840 -23.33218 -22.63042 -21.12102 -20.18143 -19.90094 -19.17428 -17.42722 -17.12437 -17.06645 -16.52963 -16.15830 -15.71661 -15.55780 -15.29572 -15.15468 -14.67005 -14.27443 -13.97086 -13.76794 -13.59623 -13.53634 -13.28864 -13.12885 -12.86864 -12.78255 -12.51926 -12.35125 -12.02015 -11.92693 -11.67815 -11.63144 -11.31116 -11.20901 -10.94890 -10.89552 -10.76912 -10.61007 -10.53759 -10.43756 -10.26824 -10.12745 -10.05833 -9.92914 -9.77053 -9.44818 -9.37123 -8.86305 -8.78415 -6.92500 -5.74071 -3.01522 2.68684 2.94969 3.46372 3.51742 3.52070 3.60144 3.73838 3.85369 4.26717 4.41950 4.61098 4.61882 4.66005 4.82067 4.91742 4.93126 5.05349 5.20283 5.20717 5.22479 5.25962 5.32599 5.35940 5.47142 5.48454 5.54894 5.57204 5.69241 5.70380 5.70809 5.83229 5.90379 6.00557 6.11154 6.15720 6.22475 6.26259 6.38877 6.41330 6.53365 6.60544 6.65285 6.69925 6.74653 6.82505 6.84620 7.11916 7.33142 7.62101 7.73920 8.36975 8.44278 9.55856 10.12049 10.46833 11.48373 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012104 B = 0.002849 C = 0.002555 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2312.636166 B = 9826.835595 C =10958.379451 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.147 4.147 2 C -0.111 4.111 3 C -0.141 4.141 4 C 0.186 3.814 5 H 0.049 0.951 6 C -0.135 4.135 7 C 0.124 3.876 8 N -0.727 5.727 9 C 0.511 3.489 10 O -0.514 6.514 11 C 0.065 3.935 12 H 0.093 0.907 13 O -0.350 6.350 14 C 0.057 3.943 15 C -0.155 4.155 16 H 0.093 0.907 17 C 0.072 3.928 18 O -0.375 6.375 19 C 0.062 3.938 20 C -0.160 4.160 21 C -0.105 4.105 22 H 0.107 0.893 23 N -0.721 5.721 24 C -0.233 4.233 25 H 0.071 0.929 26 C -0.012 4.012 27 N -0.932 5.932 28 Si 0.901 3.099 29 H -0.286 1.286 30 H -0.292 1.292 31 H -0.287 1.287 32 H 0.048 0.952 33 H 0.043 0.957 34 H 0.049 0.951 35 H 0.059 0.941 36 H 0.086 0.914 37 H 0.028 0.972 38 H 0.040 0.960 39 H 0.064 0.936 40 H 0.066 0.934 41 H 0.063 0.937 42 H 0.085 0.915 43 H 0.394 0.606 44 H 0.081 0.919 45 H 0.073 0.927 46 H 0.096 0.904 47 H 0.055 0.945 48 H 0.100 0.900 49 H 0.054 0.946 50 H 0.087 0.913 51 H 0.083 0.917 52 H 0.383 0.617 53 H 0.254 0.746 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -14.153 -17.555 -2.568 22.696 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 -0.205 4.205 2 C -0.132 4.132 3 C -0.198 4.198 4 C 0.075 3.925 5 H 0.067 0.933 6 C -0.174 4.174 7 C 0.001 3.999 8 N -0.380 5.380 9 C 0.295 3.705 10 O -0.388 6.388 11 C 0.003 3.997 12 H 0.110 0.890 13 O -0.268 6.268 14 C -0.020 4.020 15 C -0.174 4.174 16 H 0.112 0.888 17 C -0.006 4.006 18 O -0.293 6.293 19 C -0.015 4.015 20 C -0.197 4.197 21 C -0.124 4.124 22 H 0.125 0.875 23 N -0.361 5.361 24 C -0.364 4.364 25 H 0.089 0.911 26 C -0.208 4.208 27 N -0.580 5.580 28 Si 0.732 3.268 29 H -0.213 1.213 30 H -0.218 1.218 31 H -0.214 1.214 32 H 0.067 0.933 33 H 0.062 0.938 34 H 0.068 0.932 35 H 0.078 0.922 36 H 0.105 0.895 37 H 0.048 0.952 38 H 0.059 0.941 39 H 0.083 0.917 40 H 0.084 0.916 41 H 0.081 0.919 42 H 0.103 0.897 43 H 0.227 0.773 44 H 0.099 0.901 45 H 0.091 0.909 46 H 0.114 0.886 47 H 0.073 0.927 48 H 0.119 0.881 49 H 0.073 0.927 50 H 0.106 0.894 51 H 0.102 0.898 52 H 0.217 0.783 53 H 0.064 0.936 Dipole moment (debyes) X Y Z Total from point charges -13.444 -17.076 -1.418 21.779 hybrid contribution 0.107 0.527 -0.546 0.766 sum -13.337 -16.549 -1.964 21.345 Atomic orbital electron populations 1.21938 0.97174 1.00588 1.00757 1.21775 0.93239 0.97743 1.00462 1.21835 1.04287 0.94847 0.98820 1.20179 0.86046 0.91049 0.95234 0.93334 1.22126 1.00459 0.98280 0.96492 1.21458 1.01241 0.79018 0.98150 1.46029 1.58295 1.13882 1.19788 1.20188 0.80477 0.86671 0.83142 1.90770 1.38763 1.75167 1.34126 1.23116 0.99317 0.91465 0.85769 0.88975 1.88712 1.89748 1.21451 1.26920 1.23153 1.01898 0.82907 0.94021 1.22745 1.01488 0.96525 0.96634 0.88834 1.21926 0.82201 0.96002 1.00441 1.88127 1.27801 1.40799 1.72581 1.22609 1.00647 0.83640 0.94595 1.22243 0.93151 0.99918 1.04434 1.22915 0.97132 0.93506 0.98853 0.87453 1.42421 0.98884 1.21073 1.73761 1.19143 0.88799 0.96267 1.32157 0.91116 1.24690 0.96458 0.97695 1.01926 1.69634 1.06826 1.29886 1.51681 0.86360 0.79126 0.82354 0.78939 1.21294 1.21806 1.21352 0.93281 0.93836 0.93245 0.92239 0.89474 0.95241 0.94121 0.91695 0.91557 0.91872 0.89712 0.77267 0.90132 0.90908 0.88590 0.92656 0.88148 0.92722 0.89444 0.89808 0.78350 0.93567 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 -0.15 -1.94 8.85 37.16 0.33 -1.61 16 2 C -0.11 -1.83 2.69 -90.62 -0.24 -2.08 16 3 C -0.14 -2.55 8.26 37.16 0.31 -2.24 16 4 C 0.19 3.37 2.02 -67.93 -0.14 3.23 16 5 H 0.05 0.94 8.08 -51.92 -0.42 0.52 16 6 C -0.13 -1.94 4.65 -26.73 -0.12 -2.06 16 7 C 0.12 1.98 5.56 -4.04 -0.02 1.96 16 8 N -0.73 -9.24 5.56 -60.29 -0.33 -9.58 16 9 C 0.51 7.66 5.51 -10.98 -0.06 7.60 16 10 O -0.51 -10.57 16.55 -13.69 -0.23 -10.80 16 11 C 0.06 0.73 3.52 -26.35 -0.09 0.64 16 12 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 13 O -0.35 -4.83 10.20 -54.47 -0.56 -5.38 16 14 C 0.06 0.56 6.78 37.51 0.25 0.81 16 15 C -0.16 -1.16 2.98 -90.32 -0.27 -1.43 16 16 H 0.09 0.49 8.14 -51.93 -0.42 0.07 16 17 C 0.07 0.52 6.12 36.27 0.22 0.74 16 18 O -0.37 -3.94 10.46 -35.23 -0.37 -4.31 16 19 C 0.06 0.62 6.82 37.03 0.25 0.87 16 20 C -0.16 -1.83 4.13 -26.81 -0.11 -1.94 16 21 C -0.11 -0.93 3.63 -88.21 -0.32 -1.25 16 22 H 0.11 0.67 8.14 -51.93 -0.42 0.25 16 23 N -0.72 -16.67 4.45 -53.43 -0.24 -16.91 16 24 C -0.23 -6.11 7.57 -15.06 -0.11 -6.22 16 25 H 0.07 1.83 7.40 -52.49 -0.39 1.44 16 26 C -0.01 -0.33 5.50 -17.43 -0.10 -0.42 16 27 N -0.93 -27.50 13.06 55.49 0.72 -26.77 16 28 Si 0.90 22.31 29.55 -169.99 -5.02 17.29 16 29 H -0.29 -7.08 7.11 56.52 0.40 -6.68 16 30 H -0.29 -7.36 7.11 56.52 0.40 -6.96 16 31 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 32 H 0.05 0.64 8.14 -51.93 -0.42 0.22 16 33 H 0.04 0.54 8.14 -51.93 -0.42 0.11 16 34 H 0.05 0.57 6.32 -51.92 -0.33 0.24 16 35 H 0.06 1.02 8.14 -51.93 -0.42 0.60 16 36 H 0.09 1.89 6.01 -51.93 -0.31 1.57 16 37 H 0.03 0.47 8.14 -51.93 -0.42 0.05 16 38 H 0.04 0.72 8.14 -51.93 -0.42 0.29 16 39 H 0.06 0.91 8.14 -51.93 -0.42 0.49 16 40 H 0.07 0.79 6.17 -51.93 -0.32 0.47 16 41 H 0.06 1.10 8.14 -51.93 -0.42 0.68 16 42 H 0.08 1.71 7.75 -51.93 -0.40 1.31 16 43 H 0.39 3.55 8.47 -40.82 -0.35 3.20 16 44 H 0.08 0.88 7.62 -51.93 -0.40 0.49 16 45 H 0.07 0.57 8.14 -51.93 -0.42 0.15 16 46 H 0.10 0.55 8.14 -51.93 -0.42 0.13 16 47 H 0.06 0.33 8.13 -51.93 -0.42 -0.10 16 48 H 0.10 1.02 8.14 -51.93 -0.42 0.59 16 49 H 0.05 0.45 8.12 -51.93 -0.42 0.03 16 50 H 0.09 1.29 6.95 -51.93 -0.36 0.93 16 51 H 0.08 1.05 7.78 -51.93 -0.40 0.65 16 52 H 0.38 9.54 7.80 -40.82 -0.32 9.22 16 53 H 0.25 7.40 8.31 -40.82 -0.34 7.06 16 LS Contribution 406.52 15.07 6.13 6.13 Total: -1.00 -33.28 406.52 -9.59 -42.88 By element: Atomic # 1 Polarization: 20.32 SS G_CDS: -9.47 Total: 10.85 kcal Atomic # 6 Polarization: -3.17 SS G_CDS: -0.23 Total: -3.40 kcal Atomic # 7 Polarization: -53.41 SS G_CDS: 0.15 Total: -53.26 kcal Atomic # 8 Polarization: -19.34 SS G_CDS: -1.15 Total: -20.49 kcal Atomic # 14 Polarization: 22.31 SS G_CDS: -5.02 Total: 17.29 kcal Total LS contribution 6.13 Total: 6.13 kcal Total: -33.28 -9.59 -42.88 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. ZINC001700713421.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 -85.115 kcal (2) G-P(sol) polarization free energy of solvation -33.284 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -118.399 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.595 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -42.879 kcal (6) G-S(sol) free energy of system = (1) + (5) -127.994 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds