Wall clock time and date at job start Sat Apr 11 2020 06:11:18 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 H 1.08999 * 109.47092 * 2 1 4 4 C 1.50702 * 109.47026 * 119.99868 * 2 1 3 5 5 O 1.21284 * 119.99731 * 119.99730 * 4 2 1 6 6 N 1.34772 * 120.00202 * 300.00380 * 4 2 1 7 7 C 1.46500 * 119.99977 * 179.97438 * 6 4 2 8 8 C 1.53004 * 109.47295 * 179.97438 * 7 6 4 9 9 C 1.53001 * 109.50950 * 304.99974 * 8 7 6 10 10 C 1.53293 * 109.51680 * 184.90032 * 8 7 6 11 11 N 1.47149 * 108.38583 * 187.77331 * 10 8 7 12 12 C 1.36935 * 120.98101 * 230.51101 * 11 10 8 13 13 H 1.08001 * 120.00036 * 153.33043 * 12 11 10 14 14 C 1.38810 * 119.99949 * 333.32777 * 12 11 10 15 15 N 1.31616 * 120.00113 * 343.54526 * 14 12 11 16 16 Si 1.86797 * 120.00064 * 163.54692 * 14 12 11 17 17 H 1.48507 * 109.47003 * 359.97438 * 16 14 12 18 18 H 1.48502 * 109.47636 * 119.99800 * 16 14 12 19 19 H 1.48498 * 109.47353 * 240.00190 * 16 14 12 20 20 C 1.47151 * 118.03425 * 50.53563 * 11 10 8 21 21 C 1.53298 * 108.38564 * 309.46083 * 20 11 10 22 22 O 1.42958 * 109.51043 * 65.09751 * 8 7 6 23 23 C 1.52995 * 109.47463 * 240.00108 * 2 1 3 24 24 C 1.53183 * 109.54146 * 60.17476 * 23 2 1 25 25 C 1.53283 * 109.06128 * 176.85317 * 24 23 2 26 26 O 1.42901 * 109.46339 * 302.45039 * 25 24 23 27 27 C 1.42907 * 114.09866 * 61.15685 * 26 25 24 28 28 C 1.53090 * 109.41335 * 298.84327 * 27 26 25 29 29 H 1.08999 * 109.47092 * 179.97438 * 1 2 3 30 30 H 1.09002 * 109.47157 * 300.00296 * 1 2 3 31 31 H 1.09004 * 109.46577 * 59.99571 * 1 2 3 32 32 H 0.97006 * 120.00215 * 359.97438 * 6 4 2 33 33 H 1.08999 * 109.47282 * 299.99754 * 7 6 4 34 34 H 1.09003 * 109.47407 * 60.00259 * 7 6 4 35 35 H 1.08998 * 109.47319 * 59.99965 * 9 8 7 36 36 H 1.09004 * 109.47155 * 179.97438 * 9 8 7 37 37 H 1.08999 * 109.47416 * 299.99630 * 9 8 7 38 38 H 1.09008 * 109.67567 * 307.49419 * 10 8 7 39 39 H 1.08996 * 109.68294 * 68.00651 * 10 8 7 40 40 H 0.97002 * 120.00007 * 180.02562 * 15 14 12 41 41 H 1.08996 * 109.68465 * 69.18894 * 20 11 10 42 42 H 1.09002 * 109.68186 * 189.74225 * 20 11 10 43 43 H 1.08999 * 109.51502 * 172.22837 * 21 20 11 44 44 H 1.09000 * 109.51384 * 292.33203 * 21 20 11 45 45 H 1.09002 * 109.54414 * 300.00363 * 23 2 1 46 46 H 1.08991 * 109.52573 * 296.84423 * 24 23 2 47 47 H 1.08994 * 109.51815 * 57.03915 * 24 23 2 48 48 H 1.08999 * 109.45679 * 182.44918 * 25 24 23 49 49 H 1.09006 * 109.46579 * 62.45273 * 25 24 23 50 50 H 1.09000 * 109.47806 * 178.86024 * 27 26 25 51 51 H 1.09002 * 109.48602 * 58.83295 * 27 26 25 52 52 H 1.08998 * 109.52428 * 297.69977 * 28 27 26 53 53 H 1.09000 * 109.57203 * 177.54482 * 28 27 26 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 1 1.8933 1.0277 0.0000 4 6 2.0323 -0.7104 1.2305 5 8 2.7296 -1.6965 1.1192 6 7 1.7067 -0.2500 2.4546 7 6 2.1946 -0.9409 3.6507 8 6 1.6851 -0.2193 4.9000 9 6 2.0905 1.2548 4.8397 10 6 2.2934 -0.8668 6.1493 11 7 1.6482 -0.2827 7.3358 12 6 2.3941 0.2129 8.3716 13 1 1.9915 0.9913 9.0030 14 6 3.6676 -0.2850 8.6103 15 7 4.0385 -1.4282 8.0737 16 14 4.8551 0.6674 9.6930 17 1 4.2006 1.9122 10.1699 18 1 5.2407 -0.1677 10.8588 19 1 6.0683 1.0153 8.9104 20 6 0.1776 -0.2475 7.3764 21 6 -0.3276 0.3699 6.0674 22 8 0.2605 -0.3206 4.9624 23 6 2.0401 -0.7212 -1.2492 24 6 1.5340 0.0022 -2.5010 25 6 2.1151 -0.6817 -3.7437 26 8 3.5421 -0.6719 -3.6691 27 6 4.0723 -1.3738 -2.5428 28 6 3.5718 -0.7183 -1.2531 29 1 -0.3633 -1.0277 -0.0005 30 1 -0.3633 0.5139 0.8900 31 1 -0.3632 0.5139 -0.8900 32 1 1.1493 0.5389 2.5436 33 1 1.8309 -1.9685 3.6506 34 1 3.2846 -0.9413 3.6510 35 1 1.6562 1.7150 3.9522 36 1 1.7269 1.7683 5.7297 37 1 3.1769 1.3313 4.7940 38 1 2.1175 -1.9424 6.1278 39 1 3.3652 -0.6707 6.1796 40 1 4.9284 -1.7763 8.2408 41 1 -0.2112 -1.2606 7.4786 42 1 -0.1519 0.3594 8.2197 43 1 -1.4127 0.2797 6.0172 44 1 -0.0477 1.4227 6.0295 45 1 1.6774 -1.7491 -1.2505 46 1 0.4455 -0.0433 -2.5330 47 1 1.8554 1.0434 -2.4749 48 1 1.7940 -0.1455 -4.6367 49 1 1.7605 -1.7114 -3.7908 50 1 5.1613 -1.3361 -2.5709 51 1 3.7436 -2.4126 -2.5740 52 1 3.9343 0.3083 -1.2018 53 1 3.9393 -1.2777 -0.3928 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 ZINC001108446869.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 06:11:18 Heat of formation + Delta-G solvation = -116.390756 kcal Electronic energy + Delta-G solvation = -31602.389146 eV Core-core repulsion = 27474.379805 eV Total energy + Delta-G solvation = -4128.009341 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.97 seconds Orbital eigenvalues (eV) -40.47620 -39.33428 -38.62391 -35.52015 -34.91561 -34.37014 -32.11747 -31.30344 -31.24589 -30.74638 -27.98630 -26.60944 -25.91800 -25.50670 -23.81001 -23.27523 -22.76537 -21.21399 -20.38721 -19.86698 -18.70615 -17.31176 -16.96512 -16.46167 -16.12971 -15.90831 -15.65942 -15.31050 -15.04966 -14.61511 -14.60928 -14.33623 -14.07675 -13.98631 -13.73235 -13.51762 -13.40766 -13.06616 -12.85675 -12.70410 -12.33559 -12.21403 -12.03490 -11.84961 -11.72585 -11.62398 -11.44073 -11.22650 -11.05460 -11.01491 -10.86087 -10.77129 -10.69519 -10.40626 -10.34430 -10.26444 -10.01465 -9.76710 -9.59184 -9.40172 -9.05312 -8.80867 -8.57667 -6.77119 -5.87948 -3.31913 2.75592 3.29094 3.32735 3.39175 3.40679 3.71444 4.21395 4.36143 4.40484 4.51419 4.57359 4.81402 4.87145 5.00997 5.07942 5.10561 5.12716 5.22196 5.30789 5.32113 5.40882 5.45098 5.49039 5.50708 5.60612 5.61846 5.64356 5.70427 5.72124 5.84348 5.88023 5.90215 5.97455 6.00046 6.06472 6.10174 6.19172 6.22013 6.29666 6.43009 6.56240 6.67619 6.72919 6.78781 7.03134 7.03504 7.43046 7.67182 7.68113 7.84897 8.29642 8.37514 9.07433 9.70358 10.27655 11.20017 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.018704 B = 0.002499 C = 0.002302 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1496.674601 B =11200.680299 C =12159.809421 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.146 4.146 2 C -0.106 4.106 3 H 0.095 0.905 4 C 0.513 3.487 5 O -0.542 6.542 6 N -0.717 5.717 7 C 0.139 3.861 8 C 0.078 3.922 9 C -0.161 4.161 10 C 0.160 3.840 11 N -0.591 5.591 12 C -0.254 4.254 13 H 0.068 0.932 14 C 0.004 3.996 15 N -0.901 5.901 16 Si 0.903 3.097 17 H -0.277 1.277 18 H -0.289 1.289 19 H -0.288 1.288 20 C 0.109 3.891 21 C 0.046 3.954 22 O -0.384 6.384 23 C -0.067 4.067 24 C -0.153 4.153 25 C 0.062 3.938 26 O -0.388 6.388 27 C 0.062 3.938 28 C -0.162 4.162 29 H 0.061 0.939 30 H 0.062 0.938 31 H 0.068 0.932 32 H 0.401 0.599 33 H 0.072 0.928 34 H 0.081 0.919 35 H 0.041 0.959 36 H 0.073 0.927 37 H 0.062 0.938 38 H 0.029 0.971 39 H 0.096 0.904 40 H 0.255 0.745 41 H 0.025 0.975 42 H 0.061 0.939 43 H 0.080 0.920 44 H 0.048 0.952 45 H 0.078 0.922 46 H 0.076 0.924 47 H 0.071 0.929 48 H 0.091 0.909 49 H 0.049 0.951 50 H 0.092 0.908 51 H 0.050 0.950 52 H 0.063 0.937 53 H 0.103 0.897 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -7.108 4.717 -19.548 21.329 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 -0.203 4.203 2 C -0.127 4.127 3 H 0.113 0.887 4 C 0.299 3.701 5 O -0.420 6.420 6 N -0.368 5.368 7 C 0.015 3.985 8 C 0.037 3.963 9 C -0.219 4.219 10 C 0.034 3.966 11 N -0.314 5.314 12 C -0.383 4.383 13 H 0.086 0.914 14 C -0.195 4.195 15 N -0.545 5.545 16 Si 0.732 3.268 17 H -0.203 1.203 18 H -0.216 1.216 19 H -0.215 1.215 20 C -0.017 4.017 21 C -0.032 4.032 22 O -0.304 6.304 23 C -0.086 4.086 24 C -0.190 4.190 25 C -0.015 4.015 26 O -0.307 6.307 27 C -0.014 4.014 28 C -0.199 4.199 29 H 0.080 0.920 30 H 0.081 0.919 31 H 0.086 0.914 32 H 0.236 0.764 33 H 0.091 0.909 34 H 0.099 0.901 35 H 0.060 0.940 36 H 0.092 0.908 37 H 0.081 0.919 38 H 0.047 0.953 39 H 0.114 0.886 40 H 0.065 0.935 41 H 0.043 0.957 42 H 0.080 0.920 43 H 0.098 0.902 44 H 0.066 0.934 45 H 0.096 0.904 46 H 0.094 0.906 47 H 0.090 0.910 48 H 0.109 0.891 49 H 0.067 0.933 50 H 0.110 0.890 51 H 0.068 0.932 52 H 0.082 0.918 53 H 0.122 0.878 Dipole moment (debyes) X Y Z Total from point charges -6.433 3.914 -19.816 21.198 hybrid contribution 0.290 0.820 1.234 1.509 sum -6.143 4.734 -18.582 20.135 Atomic orbital electron populations 1.21826 0.92900 1.02922 1.02677 1.21350 0.97471 1.00737 0.93133 0.88712 1.20553 0.80241 0.84691 0.84602 1.90625 1.38190 1.26522 1.86630 1.46071 1.53163 1.32006 1.05565 1.21332 0.99006 0.96415 0.81710 1.22542 0.81972 0.95384 0.96369 1.22201 1.01900 0.96478 1.01310 1.21281 0.98733 0.94534 0.82096 1.44002 0.99039 1.71378 1.17017 1.19191 0.97196 1.13975 1.07970 0.91392 1.25056 0.99663 0.95667 0.99149 1.70018 1.19552 1.17438 1.47510 0.86224 0.81181 0.79439 0.79932 1.20251 1.21616 1.21455 1.21599 0.86647 0.98234 0.95267 1.23031 0.96421 0.95675 0.88055 1.87820 1.19836 1.74920 1.47785 1.20955 0.95832 0.99658 0.92118 1.22359 1.01008 1.00655 0.95025 1.22570 0.81339 0.99801 0.97814 1.87906 1.20239 1.76091 1.46447 1.22594 0.98786 0.94836 0.85194 1.22482 0.95314 1.02286 0.99836 0.91971 0.91873 0.91354 0.76407 0.90921 0.90100 0.94041 0.90791 0.91883 0.95294 0.88600 0.93461 0.95663 0.92043 0.90218 0.93425 0.90402 0.90593 0.91005 0.89125 0.93318 0.89033 0.93205 0.91840 0.87840 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 -0.15 -1.19 8.74 37.16 0.32 -0.86 16 2 C -0.11 -1.04 2.32 -91.77 -0.21 -1.25 16 3 H 0.09 0.82 8.14 -51.93 -0.42 0.40 16 4 C 0.51 6.97 6.87 -10.99 -0.08 6.89 16 5 O -0.54 -9.14 13.68 5.55 0.08 -9.06 16 6 N -0.72 -9.79 5.08 -60.29 -0.31 -10.10 16 7 C 0.14 2.33 4.85 -4.04 -0.02 2.31 16 8 C 0.08 1.42 0.78 -90.47 -0.07 1.35 16 9 C -0.16 -2.67 7.87 37.16 0.29 -2.38 16 10 C 0.16 3.68 4.11 -3.54 -0.01 3.66 16 11 N -0.59 -14.17 2.57 -171.83 -0.44 -14.61 16 12 C -0.25 -6.67 9.65 -15.06 -0.15 -6.82 16 13 H 0.07 1.75 7.88 -52.49 -0.41 1.34 16 14 C 0.00 0.10 4.95 -17.43 -0.09 0.01 16 15 N -0.90 -25.44 11.14 55.49 0.62 -24.82 16 16 Si 0.90 21.08 29.58 -169.99 -5.03 16.05 16 17 H -0.28 -6.31 7.11 56.52 0.40 -5.91 16 18 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 19 H -0.29 -6.75 7.11 56.52 0.40 -6.35 16 20 C 0.11 2.20 6.74 -3.53 -0.02 2.17 16 21 C 0.05 0.78 6.60 37.31 0.25 1.02 16 22 O -0.38 -6.90 10.17 -35.23 -0.36 -7.26 16 23 C -0.07 -0.66 1.49 -90.44 -0.13 -0.80 16 24 C -0.15 -1.20 5.00 -26.49 -0.13 -1.33 16 25 C 0.06 0.51 6.85 37.30 0.26 0.77 16 26 O -0.39 -4.25 10.77 -35.23 -0.38 -4.63 16 27 C 0.06 0.64 6.84 37.20 0.25 0.90 16 28 C -0.16 -1.78 5.06 -26.60 -0.13 -1.92 16 29 H 0.06 0.56 8.14 -51.93 -0.42 0.14 16 30 H 0.06 0.50 7.56 -51.93 -0.39 0.11 16 31 H 0.07 0.43 6.51 -51.93 -0.34 0.09 16 32 H 0.40 4.80 6.41 -40.82 -0.26 4.54 16 33 H 0.07 1.32 8.14 -51.93 -0.42 0.90 16 34 H 0.08 1.41 8.14 -51.93 -0.42 0.98 16 35 H 0.04 0.56 6.58 -51.93 -0.34 0.22 16 36 H 0.07 1.35 6.12 -51.93 -0.32 1.03 16 37 H 0.06 1.07 8.14 -51.93 -0.42 0.65 16 38 H 0.03 0.73 8.14 -51.92 -0.42 0.31 16 39 H 0.10 2.43 6.16 -51.93 -0.32 2.12 16 40 H 0.26 6.99 8.31 -40.82 -0.34 6.65 16 41 H 0.03 0.53 8.14 -51.93 -0.42 0.11 16 42 H 0.06 1.18 7.96 -51.93 -0.41 0.76 16 43 H 0.08 1.12 8.14 -51.93 -0.42 0.70 16 44 H 0.05 0.78 6.26 -51.93 -0.32 0.45 16 45 H 0.08 0.86 8.10 -51.93 -0.42 0.44 16 46 H 0.08 0.48 6.62 -51.93 -0.34 0.14 16 47 H 0.07 0.57 8.14 -51.93 -0.42 0.14 16 48 H 0.09 0.61 8.14 -51.93 -0.42 0.18 16 49 H 0.05 0.38 8.14 -51.93 -0.42 -0.04 16 50 H 0.09 0.85 8.14 -51.93 -0.42 0.43 16 51 H 0.05 0.50 8.14 -51.93 -0.42 0.07 16 52 H 0.06 0.69 8.14 -51.93 -0.42 0.27 16 53 H 0.10 1.38 5.62 -51.93 -0.29 1.09 16 LS Contribution 397.10 15.07 5.98 5.98 Total: -1.00 -30.49 397.10 -8.75 -39.23 By element: Atomic # 1 Polarization: 14.72 SS G_CDS: -9.23 Total: 5.49 kcal Atomic # 6 Polarization: 3.40 SS G_CDS: 0.32 Total: 3.73 kcal Atomic # 7 Polarization: -49.40 SS G_CDS: -0.13 Total: -49.53 kcal Atomic # 8 Polarization: -20.29 SS G_CDS: -0.66 Total: -20.95 kcal Atomic # 14 Polarization: 21.08 SS G_CDS: -5.03 Total: 16.05 kcal Total LS contribution 5.98 Total: 5.98 kcal Total: -30.49 -8.75 -39.23 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. ZINC001108446869.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 -77.157 kcal (2) G-P(sol) polarization free energy of solvation -30.488 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -107.645 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.746 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.234 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.391 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.97 seconds