Wall clock time and date at job start Tue Mar 9 2021 16:01:55 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= 0 * 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 1.52999 * 109.47243 * 2 1 4 4 C 1.52998 * 109.47136 * 239.99724 * 2 1 3 5 5 Si 1.86298 * 109.47152 * 119.99977 * 2 1 3 6 6 C 1.86303 * 109.47046 * 299.99746 * 5 2 1 7 7 C 1.86306 * 109.47438 * 179.97438 * 5 2 1 8 8 O 1.63096 * 109.47263 * 59.99952 * 5 2 1 9 9 C 1.42901 * 114.00327 * 180.02562 * 8 5 2 10 10 C 1.53001 * 109.47320 * 180.02562 * 9 8 5 11 11 C 1.53006 * 109.46898 * 179.97438 * 10 9 8 12 12 O 1.42906 * 109.46851 * 179.97438 * 11 10 9 13 13 C 1.35974 * 116.99932 * 180.02562 * 12 11 10 14 14 C 1.38660 * 119.98772 * 359.97438 * 13 12 11 15 15 C 1.38261 * 120.08539 * 179.97438 * 14 13 12 16 16 C 1.38481 * 120.09975 * 0.02562 * 15 14 13 17 17 O 1.36604 * 131.47341 * 180.02562 * 16 15 14 18 18 C 1.43979 * 105.47264 * 162.71081 * 17 16 15 19 19 O 1.43979 * 103.75011 * 27.14454 * 18 17 16 20 20 C 1.36509 * 105.49796 * 332.84393 * 19 18 17 21 21 C 1.38485 * 131.47400 * 197.64051 * 20 19 18 22 22 C 1.50701 * 120.00829 * 359.92930 * 21 20 19 23 23 O 1.42900 * 109.47072 * 303.78047 * 22 21 20 24 24 Si 1.86298 * 109.47019 * 63.78230 * 22 21 20 25 25 H 1.48498 * 109.47326 * 54.54438 * 24 22 21 26 26 H 1.48503 * 109.46824 * 174.54842 * 24 22 21 27 27 H 1.48498 * 109.47153 * 294.54096 * 24 22 21 28 28 H 1.09000 * 109.47330 * 300.00161 * 1 2 3 29 29 H 1.08996 * 109.47310 * 60.00085 * 1 2 3 30 30 H 1.09003 * 109.47565 * 180.02562 * 1 2 3 31 31 H 1.09000 * 109.47207 * 180.02562 * 3 2 1 32 32 H 1.09005 * 109.46961 * 299.99596 * 3 2 1 33 33 H 1.08991 * 109.47187 * 59.99952 * 3 2 1 34 34 H 1.09004 * 109.47520 * 300.00252 * 4 2 1 35 35 H 1.09005 * 109.47301 * 60.00262 * 4 2 1 36 36 H 1.09000 * 109.47205 * 180.02562 * 4 2 1 37 37 H 1.09005 * 109.46971 * 180.02562 * 6 5 2 38 38 H 1.08994 * 109.47012 * 299.99998 * 6 5 2 39 39 H 1.09000 * 109.47007 * 60.00120 * 6 5 2 40 40 H 1.09006 * 109.46648 * 300.00290 * 7 5 2 41 41 H 1.09001 * 109.46540 * 59.99535 * 7 5 2 42 42 H 1.08993 * 109.46870 * 180.02562 * 7 5 2 43 43 H 1.09003 * 109.47422 * 59.99726 * 9 8 5 44 44 H 1.09004 * 109.46916 * 299.99931 * 9 8 5 45 45 H 1.09000 * 109.47428 * 59.99934 * 10 9 8 46 46 H 1.08996 * 109.46993 * 299.99196 * 10 9 8 47 47 H 1.08996 * 109.46964 * 299.99609 * 11 10 9 48 48 H 1.09000 * 109.46813 * 59.99952 * 11 10 9 49 49 H 1.08003 * 119.95280 * 359.97438 * 14 13 12 50 50 H 1.08005 * 119.94623 * 180.02562 * 15 14 13 51 51 H 1.09004 * 110.57403 * 268.57422 * 18 17 16 52 52 H 1.09004 * 110.57209 * 145.71107 * 18 17 16 53 53 H 1.09005 * 109.47139 * 183.78153 * 22 21 20 54 54 H 0.96704 * 113.99988 * 300.00028 * 23 22 21 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 2.0399 -0.7213 -1.2492 5 14 2.1510 -0.8782 1.5211 6 6 1.5300 0.0001 3.0423 7 6 4.0140 -0.8789 1.5208 8 8 1.6073 -2.4159 1.5212 9 6 2.0285 -3.1813 2.6520 10 6 1.4637 -4.5994 2.5471 11 6 1.9152 -5.4190 3.7576 12 8 1.3872 -6.7434 3.6598 13 6 1.6961 -7.6068 4.6638 14 6 2.4911 -7.1864 5.7193 15 6 2.8060 -8.0625 6.7415 16 6 2.3290 -9.3622 6.7139 17 8 2.4908 -10.4040 7.5826 18 6 1.4515 -11.3442 7.2528 19 8 1.1934 -11.0938 5.8586 20 6 1.5310 -9.7871 5.6541 21 6 1.2122 -8.9062 4.6341 22 6 0.3436 -9.3609 3.4896 23 8 0.9309 -10.5082 2.8725 24 14 -1.3496 -9.7992 4.1311 25 1 -1.9059 -8.6484 4.8870 26 1 -2.2436 -10.1204 2.9896 27 1 -1.2492 -10.9785 5.0281 28 1 -0.3634 0.5138 0.8900 29 1 -0.3634 0.5138 -0.8899 30 1 -0.3634 -1.0277 0.0005 31 1 3.1300 1.4425 -0.0005 32 1 1.6767 1.9563 -0.8901 33 1 1.6767 1.9563 0.8899 34 1 1.6766 -1.7490 -1.2492 35 1 1.6767 -0.2075 -2.1393 36 1 3.1300 -0.7217 -1.2490 37 1 1.8937 -0.5135 3.9323 38 1 1.8934 1.0277 3.0422 39 1 0.4400 0.0001 3.0423 40 1 4.3769 -1.3930 0.6307 41 1 4.3776 0.1486 1.5205 42 1 4.3772 -1.3931 2.4105 43 1 1.6637 -2.7112 3.5653 44 1 3.1174 -3.2252 2.6759 45 1 1.8289 -5.0693 1.6339 46 1 0.3749 -4.5559 2.5230 47 1 3.0040 -5.4625 3.7812 48 1 1.5503 -4.9492 4.6709 49 1 2.8647 -6.1733 5.7429 50 1 3.4251 -7.7326 7.5628 51 1 0.5586 -11.1527 7.8480 52 1 1.7991 -12.3667 7.4003 53 1 0.2581 -8.5582 2.7572 54 1 1.8158 -10.3527 2.5149 RHF calculation, no. of doubly occupied orbitals= 68 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) 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=0 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 s_7_15096578_18527724.mol2 54 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 16:01:55 Heat of formation + Delta-G solvation = -211.406684 kcal Electronic energy + Delta-G solvation = -32027.309438 eV Core-core repulsion = 27667.810860 eV Total energy + Delta-G solvation = -4359.498578 eV No. of doubly occupied orbitals = 68 Molecular weight (most abundant/longest-lived isotopes) = 370.186 amu Computer time = 0.95 seconds Orbital eigenvalues (eV) -43.20063 -41.01395 -38.62054 -38.02418 -37.38407 -36.88877 -36.81080 -33.70897 -32.23584 -30.27638 -29.50519 -29.15996 -27.91855 -27.44167 -26.92311 -26.78814 -26.66361 -23.76206 -23.10240 -22.32731 -20.48317 -19.77496 -18.94169 -18.77567 -17.97239 -17.87530 -17.61061 -17.37671 -16.70547 -16.34682 -16.16533 -16.02202 -15.97262 -15.47802 -15.29322 -15.04059 -14.92969 -14.77378 -14.59792 -14.17907 -14.12020 -14.03480 -13.93009 -13.87652 -13.63567 -13.51977 -13.36594 -13.26030 -13.19629 -12.99068 -12.98240 -12.85354 -12.46345 -12.34549 -12.27421 -12.09031 -11.88916 -11.80393 -11.76422 -11.53475 -11.41895 -11.31049 -11.25753 -10.96647 -10.44979 -10.13507 -9.61860 -8.82704 -0.01693 0.12574 1.23084 1.33265 1.57604 1.63928 1.66911 1.72996 1.97387 2.08731 2.15551 2.37501 2.47733 2.62428 3.31079 3.65670 3.69249 3.70642 3.72700 3.87893 3.92219 3.95321 4.00934 4.06688 4.07117 4.09383 4.12180 4.19408 4.25410 4.33286 4.41715 4.42520 4.58970 4.62194 4.64749 4.65386 4.76181 4.79463 4.80868 4.90818 4.90960 4.95079 4.99803 5.03176 5.05781 5.06001 5.11062 5.14831 5.16201 5.29070 5.34892 5.36295 5.45106 5.47583 5.52993 6.00727 6.22290 6.67861 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.134 4.134 2 C -0.375 4.375 3 C -0.137 4.137 4 C -0.134 4.134 5 Si 1.289 2.711 6 C -0.512 4.512 7 C -0.512 4.512 8 O -0.623 6.623 9 C 0.090 3.910 10 C -0.124 4.124 11 C 0.057 3.943 12 O -0.304 6.304 13 C 0.156 3.844 14 C -0.202 4.202 15 C -0.054 4.054 16 C -0.006 4.006 17 O -0.306 6.306 18 C 0.209 3.791 19 O -0.289 6.289 20 C 0.092 3.908 21 C -0.144 4.144 22 C -0.076 4.076 23 O -0.534 6.534 24 Si 1.002 2.998 25 H -0.252 1.252 26 H -0.250 1.250 27 H -0.243 1.243 28 H 0.054 0.946 29 H 0.053 0.947 30 H 0.060 0.940 31 H 0.056 0.944 32 H 0.056 0.944 33 H 0.056 0.944 34 H 0.060 0.940 35 H 0.053 0.947 36 H 0.054 0.946 37 H 0.066 0.934 38 H 0.074 0.926 39 H 0.073 0.927 40 H 0.073 0.927 41 H 0.074 0.926 42 H 0.066 0.934 43 H 0.059 0.941 44 H 0.058 0.942 45 H 0.087 0.913 46 H 0.087 0.913 47 H 0.069 0.931 48 H 0.069 0.931 49 H 0.145 0.855 50 H 0.141 0.859 51 H 0.086 0.914 52 H 0.135 0.865 53 H 0.086 0.914 54 H 0.367 0.633 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.310 3.503 1.663 4.093 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 -0.191 4.191 2 C -0.419 4.419 3 C -0.194 4.194 4 C -0.192 4.192 5 Si 1.420 2.580 6 C -0.613 4.613 7 C -0.613 4.613 8 O -0.582 6.582 9 C 0.014 3.986 10 C -0.162 4.162 11 C -0.018 4.018 12 O -0.217 6.217 13 C 0.110 3.890 14 C -0.221 4.221 15 C -0.073 4.073 16 C -0.051 4.051 17 O -0.223 6.223 18 C 0.097 3.903 19 O -0.204 6.204 20 C 0.046 3.954 21 C -0.145 4.145 22 C -0.184 4.184 23 O -0.339 6.339 24 Si 0.820 3.180 25 H -0.175 1.175 26 H -0.174 1.174 27 H -0.165 1.165 28 H 0.073 0.927 29 H 0.072 0.928 30 H 0.079 0.921 31 H 0.075 0.925 32 H 0.075 0.925 33 H 0.075 0.925 34 H 0.079 0.921 35 H 0.072 0.928 36 H 0.073 0.927 37 H 0.085 0.915 38 H 0.093 0.907 39 H 0.092 0.908 40 H 0.092 0.908 41 H 0.093 0.907 42 H 0.085 0.915 43 H 0.077 0.923 44 H 0.077 0.923 45 H 0.105 0.895 46 H 0.106 0.894 47 H 0.087 0.913 48 H 0.088 0.912 49 H 0.163 0.837 50 H 0.159 0.841 51 H 0.103 0.897 52 H 0.152 0.848 53 H 0.104 0.896 54 H 0.214 0.786 Dipole moment (debyes) X Y Z Total from point charges -0.271 2.576 1.851 3.184 hybrid contribution 1.569 0.919 0.130 1.823 sum 1.298 3.495 1.981 4.222 Atomic orbital electron populations 1.21513 0.93777 1.02040 1.01819 1.25788 1.00723 1.02643 1.12716 1.21556 1.00771 0.94900 1.02178 1.21515 1.00595 1.00267 0.96773 0.76691 0.62990 0.53300 0.65020 1.27039 1.07067 1.09547 1.17689 1.27039 1.25043 1.04793 1.04469 1.85333 1.79350 1.46090 1.47444 1.21795 0.98141 0.91468 0.87221 1.21534 1.03518 0.93201 0.97938 1.22800 0.98854 0.80402 0.99785 1.86029 1.70898 1.21957 1.42832 1.18082 0.94064 0.88868 0.88034 1.20989 1.04432 1.01357 0.95287 1.19855 0.99908 0.88157 0.99345 1.19667 1.02790 0.90869 0.91742 1.87405 1.51707 1.28204 1.54981 1.25736 0.89885 0.95654 0.79035 1.87527 1.82644 1.22580 1.27624 1.19109 0.97176 0.84035 0.95031 1.18394 1.06307 0.90534 0.99314 1.25023 1.06583 0.92265 0.94484 1.86734 1.35567 1.34256 1.77308 0.84617 0.72074 0.80915 0.80388 1.17515 1.17356 1.16537 0.92709 0.92766 0.92127 0.92515 0.92476 0.92513 0.92130 0.92765 0.92705 0.91501 0.90667 0.90815 0.90821 0.90665 0.91503 0.92325 0.92344 0.89474 0.89441 0.91253 0.91232 0.83698 0.84100 0.89668 0.84764 0.89638 0.78589 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.13 0.06 7.85 37.16 0.29 0.35 16 2 C -0.38 0.33 0.53 -90.62 -0.05 0.28 16 3 C -0.14 0.15 7.85 37.16 0.29 0.44 16 4 C -0.13 0.06 7.85 37.16 0.29 0.35 16 5 Si 1.29 -2.50 8.45 -169.99 -1.44 -3.94 16 6 C -0.51 0.84 8.50 101.05 0.86 1.69 16 7 C -0.51 0.83 8.50 101.05 0.86 1.69 16 8 O -0.62 0.53 8.56 -35.23 -0.30 0.23 16 9 C 0.09 -0.23 5.12 37.16 0.19 -0.04 16 10 C -0.12 0.28 5.95 -26.73 -0.16 0.12 16 11 C 0.06 -0.15 4.74 37.16 0.18 0.03 16 12 O -0.30 -0.04 8.90 -19.66 -0.17 -0.22 16 13 C 0.16 0.15 6.66 -39.26 -0.26 -0.11 16 14 C -0.20 0.09 9.03 -39.42 -0.36 -0.26 16 15 C -0.05 -0.03 10.05 -39.48 -0.40 -0.42 16 16 C -0.01 -0.02 7.15 -39.10 -0.28 -0.30 16 17 O -0.31 -0.83 11.41 -46.03 -0.53 -1.35 16 18 C 0.21 0.10 8.89 101.05 0.90 1.00 16 19 O -0.29 -0.99 10.19 -45.72 -0.47 -1.46 16 20 C 0.09 0.29 5.95 -39.10 -0.23 0.06 16 21 C -0.14 -0.34 4.48 -104.36 -0.47 -0.80 16 22 C -0.08 -0.16 2.71 36.01 0.10 -0.06 16 23 O -0.53 -1.41 12.48 -35.23 -0.44 -1.85 16 24 Si 1.00 2.40 27.33 -169.99 -4.65 -2.24 16 25 H -0.25 -0.53 7.11 56.52 0.40 -0.13 16 26 H -0.25 -0.70 7.11 56.52 0.40 -0.30 16 27 H -0.24 -0.85 6.74 56.52 0.38 -0.47 16 28 H 0.05 -0.06 7.79 -51.93 -0.40 -0.46 16 29 H 0.05 0.00 8.14 -51.93 -0.42 -0.43 16 30 H 0.06 -0.01 7.96 -51.93 -0.41 -0.43 16 31 H 0.06 -0.10 7.79 -51.93 -0.40 -0.50 16 32 H 0.06 -0.04 8.14 -51.93 -0.42 -0.46 16 33 H 0.06 -0.10 7.79 -51.93 -0.40 -0.50 16 34 H 0.06 -0.01 7.97 -51.93 -0.41 -0.43 16 35 H 0.05 0.00 8.14 -51.93 -0.42 -0.43 16 36 H 0.05 -0.06 7.79 -51.93 -0.40 -0.46 16 37 H 0.07 -0.14 7.48 -51.93 -0.39 -0.53 16 38 H 0.07 -0.13 7.79 -51.93 -0.40 -0.53 16 39 H 0.07 -0.09 7.79 -51.93 -0.40 -0.50 16 40 H 0.07 -0.09 7.79 -51.93 -0.40 -0.50 16 41 H 0.07 -0.13 7.79 -51.93 -0.40 -0.53 16 42 H 0.07 -0.14 7.48 -51.93 -0.39 -0.53 16 43 H 0.06 -0.24 7.21 -51.93 -0.37 -0.61 16 44 H 0.06 -0.23 7.21 -51.93 -0.37 -0.61 16 45 H 0.09 -0.14 8.14 -51.93 -0.42 -0.57 16 46 H 0.09 -0.15 8.14 -51.93 -0.42 -0.57 16 47 H 0.07 -0.27 7.66 -51.93 -0.40 -0.67 16 48 H 0.07 -0.28 7.66 -51.93 -0.40 -0.67 16 49 H 0.15 -0.47 6.28 -52.48 -0.33 -0.80 16 50 H 0.14 -0.22 8.06 -52.48 -0.42 -0.64 16 51 H 0.09 -0.12 8.14 -51.93 -0.42 -0.55 16 52 H 0.13 -0.30 8.14 -51.93 -0.42 -0.73 16 53 H 0.09 0.08 6.82 -51.93 -0.35 -0.28 16 54 H 0.37 -0.12 9.08 45.56 0.41 0.29 16 LS Contribution 430.25 15.07 6.48 6.48 Total: 0.00 -6.23 430.25 -8.61 -14.84 By element: Atomic # 1 Polarization: -5.66 SS G_CDS: -8.85 Total: -14.52 kcal Atomic # 6 Polarization: 2.26 SS G_CDS: 1.75 Total: 4.01 kcal Atomic # 8 Polarization: -2.73 SS G_CDS: -1.91 Total: -4.64 kcal Atomic # 14 Polarization: -0.09 SS G_CDS: -6.08 Total: -6.18 kcal Total LS contribution 6.48 Total: 6.48 kcal Total: -6.23 -8.61 -14.84 kcal The number of atoms in the molecule is 54 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. s_7_15096578_18527724.mol2 54 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 -196.567 kcal (2) G-P(sol) polarization free energy of solvation -6.234 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -202.801 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.606 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -14.840 kcal (6) G-S(sol) free energy of system = (1) + (5) -211.407 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.95 seconds