Wall clock time and date at job start Sat Apr 11 2020 06:09:44 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 1.53003 * 1 3 3 C 1.52999 * 109.47082 * 2 1 4 4 C 1.53003 * 109.47082 * 179.97438 * 3 2 1 5 5 H 1.09000 * 109.47784 * 54.98170 * 4 3 2 6 6 C 1.53084 * 109.47745 * 175.00267 * 4 3 2 7 7 C 1.53185 * 109.16167 * 177.59522 * 6 4 3 8 8 H 1.08997 * 109.54645 * 183.06359 * 7 6 4 9 9 C 1.50699 * 109.54354 * 62.88465 * 7 6 4 10 10 O 1.21282 * 119.99774 * 0.02562 * 9 7 6 11 11 N 1.34775 * 119.99581 * 180.02562 * 9 7 6 12 12 C 1.46511 * 119.99672 * 175.05997 * 11 9 7 13 13 C 1.53001 * 112.94145 * 65.63292 * 12 11 9 14 14 C 1.52996 * 109.47381 * 44.05342 * 13 12 11 15 15 O 1.42903 * 109.47167 * 184.83122 * 14 13 12 16 16 C 1.53943 * 113.83858 * 197.31554 * 12 11 9 17 17 N 1.47584 * 86.11352 * 90.75306 * 16 12 11 18 18 C 1.36942 * 134.49032 * 204.63773 * 17 16 12 19 19 H 1.07994 * 120.00108 * 179.97438 * 18 17 16 20 20 C 1.38810 * 119.99911 * 0.02562 * 18 17 16 21 21 N 1.31616 * 120.00164 * 359.97438 * 20 18 17 22 22 Si 1.86807 * 119.99798 * 179.97438 * 20 18 17 23 23 H 1.48498 * 109.46738 * 89.99617 * 22 20 18 24 24 H 1.48502 * 109.46786 * 209.99242 * 22 20 18 25 25 H 1.48494 * 109.47000 * 329.99594 * 22 20 18 26 26 C 1.47579 * 91.01570 * 24.63951 * 17 16 12 27 27 C 1.53173 * 109.03396 * 303.01813 * 7 6 4 28 28 C 1.53102 * 109.16500 * 56.97865 * 27 7 6 29 29 O 1.42898 * 109.41249 * 302.39283 * 28 27 7 30 30 H 1.09004 * 109.47212 * 299.99453 * 1 2 3 31 31 H 1.09003 * 109.47389 * 59.99635 * 1 2 3 32 32 H 1.09006 * 109.47381 * 179.97438 * 1 2 3 33 33 H 1.09007 * 109.46502 * 240.00434 * 2 1 3 34 34 H 1.08995 * 109.47098 * 120.00328 * 2 1 3 35 35 H 1.09004 * 109.46651 * 60.00203 * 3 2 1 36 36 H 1.09003 * 109.47306 * 300.00415 * 3 2 1 37 37 H 1.08996 * 109.52945 * 57.69024 * 6 4 3 38 38 H 1.08999 * 109.52835 * 297.49781 * 6 4 3 39 39 H 0.96994 * 120.00705 * 355.05717 * 11 9 7 40 40 H 1.08997 * 109.46701 * 164.05661 * 13 12 11 41 41 H 1.09005 * 109.47012 * 284.05340 * 13 12 11 42 42 H 1.08997 * 109.47524 * 304.83498 * 14 13 12 43 43 H 1.09009 * 109.46885 * 64.83522 * 14 13 12 44 44 H 0.96705 * 113.99585 * 180.02562 * 15 14 13 45 45 H 1.08997 * 113.76797 * 205.05056 * 16 12 11 46 46 H 1.09002 * 113.76764 * 336.45439 * 16 12 11 47 47 H 0.96999 * 120.00085 * 180.02562 * 21 20 18 48 48 H 1.08997 * 113.76950 * 221.05958 * 26 17 16 49 49 H 1.08998 * 113.87239 * 89.67421 * 26 17 16 50 50 H 1.08998 * 109.52729 * 176.88293 * 27 7 6 51 51 H 1.08996 * 109.52694 * 297.07770 * 27 7 6 52 52 H 1.08994 * 109.48172 * 182.40799 * 28 27 7 53 53 H 1.09006 * 109.47626 * 62.37233 * 28 27 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 1.5300 0.0000 0.0000 3 6 2.0400 1.4425 0.0000 4 6 3.5700 1.4425 0.0006 5 1 3.9339 0.8527 -0.8407 6 6 4.0805 2.8802 -0.1251 7 6 5.6111 2.8775 -0.0632 8 1 5.9793 3.9029 -0.0975 9 6 6.1616 2.1049 -1.2341 10 8 5.4056 1.6051 -2.0402 11 7 7.4940 1.9692 -1.3854 12 6 8.0273 1.1288 -2.4605 13 6 7.7169 1.6762 -3.8552 14 6 7.9701 3.1849 -3.8788 15 8 7.5741 3.7146 -5.1456 16 6 9.5011 0.7296 -2.2652 17 7 8.9814 -0.4596 -1.5625 18 6 9.4830 -1.3080 -0.6117 19 1 8.8824 -2.1295 -0.2501 20 6 10.7630 -1.1114 -0.1119 21 7 11.4948 -0.1099 -0.5522 22 14 11.4470 -2.2683 1.1856 23 1 12.1476 -3.3971 0.5223 24 1 12.4033 -1.5318 2.0506 25 1 10.3337 -2.7953 2.0150 26 6 7.7041 -0.3673 -2.2959 27 6 6.0571 2.2145 1.2435 28 6 5.4701 0.8023 1.3165 29 8 4.0461 0.8745 1.2225 30 1 -0.3634 0.5138 0.8901 31 1 -0.3634 0.5139 -0.8900 32 1 -0.3634 -1.0277 -0.0005 33 1 1.8933 -0.5138 -0.8901 34 1 1.8933 -0.5139 0.8899 35 1 1.6767 1.9562 0.8901 36 1 1.6766 1.9564 -0.8900 37 1 3.6840 3.4806 0.6937 38 1 3.7553 3.3004 -1.0767 39 1 8.0998 2.4279 -0.7827 40 1 8.3594 1.1884 -4.5881 41 1 6.6729 1.4792 -4.0988 42 1 7.3917 3.6629 -3.0883 43 1 9.0312 3.3778 -3.7201 44 1 7.7071 4.6685 -5.2320 45 1 10.0205 0.4982 -3.1952 46 1 10.0593 1.4106 -1.6227 47 1 12.3894 0.0272 -0.2033 48 1 6.8276 -0.5620 -1.6780 49 1 7.6938 -0.9204 -3.2351 50 1 7.1453 2.1583 1.2707 51 1 5.7005 2.8012 2.0900 52 1 5.7490 0.3412 2.2639 53 1 5.8590 0.2041 0.4924 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 ZINC001700496725.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 06:09:44 Heat of formation + Delta-G solvation = -97.018252 kcal Electronic energy + Delta-G solvation = -32594.528254 eV Core-core repulsion = 28467.358968 eV Total energy + Delta-G solvation = -4127.169286 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) -40.69286 -39.09188 -37.35444 -36.54493 -35.01849 -33.69986 -33.40100 -31.89125 -31.07583 -30.46569 -27.33446 -27.08319 -25.07415 -24.88889 -23.53476 -22.81342 -21.92612 -21.05428 -20.93590 -19.32472 -18.80343 -17.32205 -16.73056 -16.49783 -16.31345 -16.11393 -15.29074 -15.07006 -14.82310 -14.73513 -14.56717 -14.37095 -13.98351 -13.80015 -13.65158 -13.49604 -13.04516 -12.86346 -12.69107 -12.65659 -12.26029 -12.22571 -11.87243 -11.67229 -11.49889 -11.41203 -11.31487 -11.25836 -11.00694 -10.90585 -10.89191 -10.68897 -10.60794 -10.54348 -10.22707 -10.02603 -9.88929 -9.71891 -9.61448 -9.36553 -8.99711 -8.87995 -8.49877 -6.95219 -5.84818 -3.16076 2.93051 3.34216 3.40522 3.41157 3.50585 3.95915 4.33914 4.44546 4.57050 4.78361 4.79633 4.92813 5.04780 5.08702 5.11670 5.15385 5.23117 5.35270 5.40935 5.41753 5.42707 5.54794 5.56741 5.65352 5.70074 5.73540 5.74685 5.81344 5.84115 5.92614 5.94983 5.95280 6.02440 6.08874 6.16248 6.21408 6.27094 6.29724 6.36027 6.41823 6.48161 6.55317 6.56284 6.83377 7.04334 7.28271 7.43108 7.45710 7.74946 7.88732 7.93977 8.60819 8.97459 9.63437 10.50990 11.32398 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009087 B = 0.004248 C = 0.003289 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3080.575449 B = 6589.355850 C = 8511.556149 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.123 4.123 3 C -0.107 4.107 4 C 0.079 3.921 5 H 0.087 0.913 6 C -0.125 4.125 7 C -0.112 4.112 8 H 0.095 0.905 9 C 0.517 3.483 10 O -0.537 6.537 11 N -0.689 5.689 12 C 0.125 3.875 13 C -0.113 4.113 14 C 0.084 3.916 15 O -0.577 6.577 16 C 0.166 3.834 17 N -0.606 5.606 18 C -0.217 4.217 19 H 0.079 0.921 20 C -0.006 4.006 21 N -0.923 5.923 22 Si 0.909 3.091 23 H -0.289 1.289 24 H -0.290 1.290 25 H -0.281 1.281 26 C 0.125 3.875 27 C -0.144 4.144 28 C 0.061 3.939 29 O -0.382 6.382 30 H 0.051 0.949 31 H 0.051 0.949 32 H 0.051 0.949 33 H 0.060 0.940 34 H 0.068 0.932 35 H 0.064 0.936 36 H 0.072 0.928 37 H 0.071 0.929 38 H 0.077 0.923 39 H 0.401 0.599 40 H 0.074 0.926 41 H 0.079 0.921 42 H 0.040 0.960 43 H 0.044 0.956 44 H 0.372 0.628 45 H 0.040 0.960 46 H 0.077 0.923 47 H 0.253 0.747 48 H 0.048 0.952 49 H 0.042 0.958 50 H 0.083 0.917 51 H 0.077 0.923 52 H 0.094 0.906 53 H 0.056 0.944 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -13.590 9.983 0.353 16.866 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 -0.208 4.208 2 C -0.160 4.160 3 C -0.144 4.144 4 C 0.022 3.978 5 H 0.105 0.895 6 C -0.163 4.163 7 C -0.134 4.134 8 H 0.113 0.887 9 C 0.303 3.697 10 O -0.415 6.415 11 N -0.339 5.339 12 C 0.037 3.963 13 C -0.152 4.152 14 C 0.006 3.994 15 O -0.382 6.382 16 C 0.041 3.959 17 N -0.332 5.332 18 C -0.345 4.345 19 H 0.097 0.903 20 C -0.202 4.202 21 N -0.571 5.571 22 Si 0.740 3.260 23 H -0.216 1.216 24 H -0.217 1.217 25 H -0.206 1.206 26 C -0.002 4.002 27 C -0.182 4.182 28 C -0.015 4.015 29 O -0.302 6.302 30 H 0.070 0.930 31 H 0.070 0.930 32 H 0.070 0.930 33 H 0.079 0.921 34 H 0.087 0.913 35 H 0.082 0.918 36 H 0.091 0.909 37 H 0.090 0.910 38 H 0.095 0.905 39 H 0.236 0.764 40 H 0.093 0.907 41 H 0.097 0.903 42 H 0.058 0.942 43 H 0.062 0.938 44 H 0.218 0.782 45 H 0.058 0.942 46 H 0.095 0.905 47 H 0.063 0.937 48 H 0.066 0.934 49 H 0.059 0.941 50 H 0.101 0.899 51 H 0.096 0.904 52 H 0.112 0.888 53 H 0.074 0.926 Dipole moment (debyes) X Y Z Total from point charges -14.154 8.772 0.070 16.651 hybrid contribution 1.378 0.269 0.909 1.672 sum -12.776 9.041 0.979 15.682 Atomic orbital electron populations 1.21780 0.96292 1.01354 1.01403 1.21473 0.95127 0.96818 1.02632 1.21585 0.93289 0.97510 1.02039 1.22389 0.94045 0.93246 0.88138 0.89547 1.21953 0.93061 0.98574 1.02680 1.21412 0.97377 1.00376 0.94185 0.88723 1.20436 0.82429 0.80639 0.86168 1.90619 1.57526 1.49046 1.44274 1.45585 1.06266 1.49023 1.32993 1.22293 0.98526 0.90762 0.84681 1.21695 1.03526 0.93461 0.96564 1.22120 0.97821 0.95155 0.84272 1.86494 1.88417 1.26881 1.36358 1.22564 0.89019 0.88994 0.95368 1.45907 1.12517 1.32389 1.42415 1.18991 0.97626 1.06382 1.11472 0.90341 1.24719 0.96456 0.98740 1.00323 1.69780 1.10441 1.31024 1.45847 0.86157 0.78747 0.80046 0.81060 1.21640 1.21666 1.20637 1.22804 0.90898 0.91280 0.95231 1.22160 1.02068 0.97861 0.96140 1.22522 0.80881 0.95383 1.02746 1.87856 1.20825 1.82603 1.38868 0.92979 0.93004 0.92970 0.92082 0.91318 0.91757 0.90930 0.91040 0.90462 0.76437 0.90707 0.90272 0.94178 0.93752 0.78220 0.94191 0.90502 0.93657 0.93423 0.94069 0.89878 0.90401 0.88775 0.92565 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -1.42 9.91 37.16 0.37 -1.05 16 2 C -0.12 -1.41 5.83 -26.73 -0.16 -1.57 16 3 C -0.11 -1.23 4.92 -26.73 -0.13 -1.36 16 4 C 0.08 1.08 2.35 -26.69 -0.06 1.02 16 5 H 0.09 1.42 5.80 -51.93 -0.30 1.12 16 6 C -0.12 -1.50 4.56 -26.59 -0.12 -1.62 16 7 C -0.11 -1.37 3.04 -91.59 -0.28 -1.65 16 8 H 0.09 0.95 8.14 -51.93 -0.42 0.53 16 9 C 0.52 7.90 4.84 -10.99 -0.05 7.84 16 10 O -0.54 -9.58 12.11 5.56 0.07 -9.51 16 11 N -0.69 -10.83 4.02 -49.08 -0.20 -11.03 16 12 C 0.13 2.25 0.72 -134.04 -0.10 2.15 16 13 C -0.11 -1.87 4.82 -26.73 -0.13 -2.00 16 14 C 0.08 1.20 6.83 37.16 0.25 1.45 16 15 O -0.58 -8.02 13.66 -35.23 -0.48 -8.50 16 16 C 0.17 3.59 6.82 -2.97 -0.02 3.57 16 17 N -0.61 -14.65 3.70 -177.74 -0.66 -15.31 16 18 C -0.22 -5.82 10.70 -15.06 -0.16 -5.98 16 19 H 0.08 2.08 7.83 -52.49 -0.41 1.67 16 20 C -0.01 -0.17 5.50 -17.43 -0.10 -0.26 16 21 N -0.92 -25.71 11.38 55.49 0.63 -25.08 16 22 Si 0.91 21.46 29.55 -169.99 -5.02 16.43 16 23 H -0.29 -6.90 7.11 56.52 0.40 -6.50 16 24 H -0.29 -6.89 7.11 56.52 0.40 -6.49 16 25 H -0.28 -6.49 7.11 56.52 0.40 -6.09 16 26 C 0.12 2.60 7.88 -2.98 -0.02 2.58 16 27 C -0.14 -1.78 5.57 -26.59 -0.15 -1.93 16 28 C 0.06 0.90 6.62 37.21 0.25 1.14 16 29 O -0.38 -5.67 9.94 -35.23 -0.35 -6.02 16 30 H 0.05 0.46 8.14 -51.93 -0.42 0.03 16 31 H 0.05 0.45 8.14 -51.93 -0.42 0.03 16 32 H 0.05 0.46 8.14 -51.93 -0.42 0.04 16 33 H 0.06 0.74 8.14 -51.92 -0.42 0.32 16 34 H 0.07 0.86 7.82 -51.93 -0.41 0.45 16 35 H 0.06 0.70 8.14 -51.93 -0.42 0.28 16 36 H 0.07 0.77 8.14 -51.93 -0.42 0.35 16 37 H 0.07 0.76 8.14 -51.93 -0.42 0.34 16 38 H 0.08 0.93 8.03 -51.93 -0.42 0.51 16 39 H 0.40 5.91 8.25 -40.82 -0.34 5.57 16 40 H 0.07 1.25 7.85 -51.93 -0.41 0.84 16 41 H 0.08 1.43 7.21 -51.93 -0.37 1.06 16 42 H 0.04 0.55 6.88 -51.93 -0.36 0.20 16 43 H 0.04 0.60 8.14 -51.92 -0.42 0.18 16 44 H 0.37 3.28 9.12 45.56 0.42 3.70 16 45 H 0.04 0.90 7.90 -51.93 -0.41 0.49 16 46 H 0.08 1.77 7.11 -51.93 -0.37 1.40 16 47 H 0.25 6.91 8.31 -40.82 -0.34 6.58 16 48 H 0.05 1.03 7.63 -51.93 -0.40 0.64 16 49 H 0.04 0.86 8.10 -51.93 -0.42 0.44 16 50 H 0.08 1.05 7.64 -51.93 -0.40 0.66 16 51 H 0.08 0.84 8.14 -51.93 -0.42 0.42 16 52 H 0.09 1.29 8.14 -51.93 -0.42 0.86 16 53 H 0.06 0.98 7.38 -51.93 -0.38 0.59 16 LS Contribution 409.01 15.07 6.16 6.16 Total: -1.00 -31.09 409.01 -9.21 -40.31 By element: Atomic # 1 Polarization: 18.98 SS G_CDS: -8.76 Total: 10.23 kcal Atomic # 6 Polarization: 2.93 SS G_CDS: -0.61 Total: 2.32 kcal Atomic # 7 Polarization: -51.19 SS G_CDS: -0.22 Total: -51.42 kcal Atomic # 8 Polarization: -23.27 SS G_CDS: -0.76 Total: -24.04 kcal Atomic # 14 Polarization: 21.46 SS G_CDS: -5.02 Total: 16.43 kcal Total LS contribution 6.16 Total: 6.16 kcal Total: -31.09 -9.21 -40.31 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. ZINC001700496725.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 -56.713 kcal (2) G-P(sol) polarization free energy of solvation -31.093 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -87.805 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.213 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.306 kcal (6) G-S(sol) free energy of system = (1) + (5) -97.018 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.87 seconds