Wall clock time and date at job start Tue Mar 9 2021 14:25:23 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 * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 N 1.46501 * 1 3 3 C 1.37639 * 125.66882 * 2 1 4 4 C 1.46669 * 126.23227 * 359.73783 * 3 2 1 5 5 O 1.21702 * 119.99888 * 4.46305 * 4 3 2 6 6 N 1.34771 * 120.00481 * 184.45882 * 4 3 2 7 7 C 1.47023 * 125.64785 * 3.86698 * 6 4 3 8 8 C 1.54324 * 107.27160 * 181.02158 * 7 6 4 9 9 C 1.55156 * 102.94442 * 22.19000 * 8 7 6 10 10 O 1.42897 * 111.00755 * 206.38172 * 9 8 7 11 11 Si 1.63095 * 114.00604 * 268.54944 * 10 9 8 12 12 C 1.86306 * 109.47014 * 300.00173 * 11 10 9 13 13 C 1.86305 * 109.46825 * 59.99854 * 11 10 9 14 14 C 1.86290 * 109.47324 * 179.97438 * 11 10 9 15 15 C 1.53004 * 109.47334 * 60.00243 * 14 11 10 16 16 C 1.53005 * 109.47319 * 180.02562 * 14 11 10 17 17 C 1.53003 * 109.47405 * 300.00134 * 14 11 10 18 18 C 1.47429 * 125.65208 * 183.55630 * 6 4 3 19 19 C 1.37891 * 107.54612 * 179.74002 * 3 2 1 20 20 C 1.39875 * 107.09240 * 359.97438 * 19 3 2 21 21 Br 1.89098 * 126.07407 * 180.02562 * 20 19 3 22 22 C 1.35509 * 107.85448 * 0.02562 * 20 19 3 23 23 C 1.50692 * 125.57226 * 180.02562 * 22 20 19 24 24 O 1.42896 * 109.47033 * 304.82216 * 23 22 20 25 25 Si 1.86300 * 109.47566 * 64.82354 * 23 22 20 26 26 H 1.48504 * 109.47120 * 54.95930 * 25 23 22 27 27 H 1.48495 * 109.47407 * 174.95798 * 25 23 22 28 28 H 1.48504 * 109.47065 * 294.96127 * 25 23 22 29 29 H 1.09000 * 109.47471 * 84.94663 * 1 2 3 30 30 H 1.09002 * 109.46822 * 204.94693 * 1 2 3 31 31 H 1.09003 * 109.47286 * 324.94062 * 1 2 3 32 32 H 1.08994 * 109.88233 * 300.43860 * 7 6 4 33 33 H 1.09001 * 109.88115 * 61.44828 * 7 6 4 34 34 H 1.09004 * 110.72131 * 140.55637 * 8 7 6 35 35 H 1.09007 * 110.72069 * 263.83047 * 8 7 6 36 36 H 1.09005 * 110.99758 * 82.57087 * 9 8 7 37 37 H 1.08999 * 109.46928 * 59.99920 * 12 11 10 38 38 H 1.08995 * 109.46713 * 179.97438 * 12 11 10 39 39 H 1.08996 * 109.46786 * 299.99785 * 12 11 10 40 40 H 1.08992 * 109.47263 * 60.00388 * 13 11 10 41 41 H 1.09000 * 109.47028 * 180.02562 * 13 11 10 42 42 H 1.09000 * 109.46970 * 299.99875 * 13 11 10 43 43 H 1.09002 * 109.47064 * 59.99716 * 15 14 11 44 44 H 1.09000 * 109.47134 * 180.02562 * 15 14 11 45 45 H 1.09007 * 109.46764 * 300.00192 * 15 14 11 46 46 H 1.08996 * 109.47243 * 59.99826 * 16 14 11 47 47 H 1.08999 * 109.47333 * 180.02562 * 16 14 11 48 48 H 1.09002 * 109.46947 * 300.00203 * 16 14 11 49 49 H 1.08995 * 109.46688 * 59.99893 * 17 14 11 50 50 H 1.08996 * 109.47215 * 180.02562 * 17 14 11 51 51 H 1.09006 * 109.46712 * 299.99896 * 17 14 11 52 52 H 1.08999 * 110.36598 * 274.75204 * 18 6 4 53 53 H 1.08999 * 110.36581 * 37.06915 * 18 6 4 54 54 H 1.07996 * 126.45198 * 179.97438 * 19 3 2 55 55 H 1.09003 * 109.47021 * 184.82101 * 23 22 20 56 56 H 0.96698 * 114.00142 * 60.00122 * 24 23 22 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 7 1.4650 0.0000 0.0000 3 6 2.2676 1.1182 0.0000 4 6 1.8120 2.5123 -0.0054 5 8 0.6238 2.7644 0.0715 6 7 2.7089 3.5141 -0.0955 7 6 4.1593 3.3522 -0.2740 8 6 4.7787 4.7655 -0.2964 9 6 3.7140 5.6233 0.4370 10 8 3.7750 6.9870 0.0143 11 14 4.7556 7.9204 0.9238 12 6 4.1550 7.9179 2.6874 13 6 6.4912 7.2462 0.8579 14 6 4.7414 9.6627 0.2647 15 6 3.3162 10.2168 0.3184 16 6 5.6618 10.5382 1.1176 17 6 5.2350 9.6643 -1.1835 18 6 2.3976 4.9540 -0.0378 19 6 3.5781 0.6893 0.0060 20 6 3.5529 -0.7092 0.0102 21 35 5.0610 -1.8500 0.0197 22 6 2.2558 -1.1015 0.0062 23 6 1.7715 -2.5284 0.0092 24 8 2.3515 -3.2306 -1.0919 25 14 2.2728 -3.3512 1.6037 26 1 1.7722 -2.5528 2.7515 27 1 1.6922 -4.7167 1.6601 28 1 3.7537 -3.4397 1.6708 29 1 -0.3634 0.0905 -1.0236 30 1 -0.3633 -0.9318 0.4335 31 1 -0.3634 0.8412 0.5903 32 1 4.5732 2.7792 0.5556 33 1 4.3621 2.8411 -1.2151 34 1 5.7252 4.7804 0.2442 35 1 4.9133 5.1114 -1.3214 36 1 3.8276 5.5462 1.5183 37 1 4.1638 6.8983 3.0727 38 1 4.8107 8.5413 3.2953 39 1 3.1397 8.3122 2.7259 40 1 6.8426 7.2477 -0.1739 41 1 7.1465 7.8697 1.4661 42 1 6.4998 6.2267 1.2433 43 1 2.9646 10.2157 1.3501 44 1 3.3079 11.2361 -0.0677 45 1 2.6608 9.5929 -0.2895 46 1 6.6771 10.1434 1.0790 47 1 5.6532 11.5578 0.7322 48 1 5.3106 10.5372 2.1495 49 1 4.5796 9.0406 -1.7913 50 1 5.2271 10.6838 -1.5690 51 1 6.2504 9.2697 -1.2217 52 1 2.1171 5.3213 -1.0249 53 1 1.5977 5.1407 0.6788 54 1 4.4581 1.3153 0.0072 55 1 0.6854 -2.5436 -0.0816 56 1 3.3179 -3.2573 -1.0763 RHF calculation, no. of doubly occupied orbitals= 71 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). Br: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). 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=WATER s_22_12102952_5000100.mol2 56 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 14:25:23 Heat of formation + Delta-G solvation = -89.309781 kcal Electronic energy + Delta-G solvation = -34922.213291 eV Core-core repulsion = 30423.628553 eV Total energy + Delta-G solvation = -4498.584738 eV No. of doubly occupied orbitals = 71 Molecular weight (most abundant/longest-lived isotopes) = 446.120 amu Computer time = 1.20 seconds Orbital eigenvalues (eV) -42.94942 -40.95948 -39.11039 -37.92539 -36.85918 -36.78586 -34.53315 -32.69957 -31.70657 -31.08316 -29.72646 -29.30706 -29.00521 -27.82556 -27.44554 -27.33843 -26.89807 -24.84066 -22.49675 -22.34115 -21.29243 -20.40382 -20.26315 -18.75218 -18.48711 -18.23556 -17.48736 -17.09388 -16.65794 -16.21236 -16.11615 -15.98787 -15.40768 -15.21918 -15.14050 -14.98977 -14.82460 -14.77705 -14.66353 -14.49012 -14.33481 -14.12020 -13.99869 -13.85914 -13.84543 -13.48163 -13.30780 -13.27403 -13.23462 -13.11047 -12.93909 -12.88613 -12.78204 -12.72040 -12.41175 -12.36846 -12.22712 -12.01291 -11.76924 -11.72289 -11.65645 -11.42914 -11.34058 -11.21686 -10.91422 -10.79248 -10.31524 -10.04519 -9.91011 -9.82280 -9.29767 0.09357 0.49943 0.82116 1.10200 1.23842 1.42570 1.48646 1.60533 1.79016 1.90382 2.06982 2.12726 2.14781 2.50390 3.15995 3.19473 3.42544 3.52029 3.60696 3.70725 3.89010 3.90939 4.07156 4.14120 4.14186 4.15784 4.21588 4.32044 4.39119 4.47526 4.49139 4.62517 4.64453 4.67514 4.71928 4.75820 4.79275 4.81663 4.82839 4.84193 4.87709 4.96062 5.01939 5.03255 5.10917 5.11025 5.12377 5.23551 5.30279 5.36817 5.43272 5.46929 5.54630 5.58481 5.61671 5.72793 5.77625 6.22185 6.31826 6.85903 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.056 3.944 2 N -0.395 5.395 3 C -0.052 4.052 4 C 0.602 3.398 5 O -0.577 6.577 6 N -0.603 5.603 7 C 0.083 3.917 8 C -0.161 4.161 9 C 0.103 3.897 10 O -0.623 6.623 11 Si 1.315 2.685 12 C -0.523 4.523 13 C -0.512 4.512 14 C -0.385 4.385 15 C -0.139 4.139 16 C -0.141 4.141 17 C -0.137 4.137 18 C 0.108 3.892 19 C -0.108 4.108 20 C -0.193 4.193 21 Br -0.009 7.009 22 C 0.054 3.946 23 C -0.068 4.068 24 O -0.539 6.539 25 Si 0.952 3.048 26 H -0.259 1.259 27 H -0.246 1.246 28 H -0.215 1.215 29 H 0.087 0.913 30 H 0.115 0.885 31 H 0.096 0.904 32 H 0.101 0.899 33 H 0.092 0.908 34 H 0.118 0.882 35 H 0.098 0.902 36 H 0.095 0.905 37 H 0.071 0.929 38 H 0.078 0.922 39 H 0.065 0.935 40 H 0.077 0.923 41 H 0.076 0.924 42 H 0.080 0.920 43 H 0.058 0.942 44 H 0.046 0.954 45 H 0.055 0.945 46 H 0.067 0.933 47 H 0.048 0.952 48 H 0.061 0.939 49 H 0.056 0.944 50 H 0.044 0.956 51 H 0.065 0.935 52 H 0.079 0.921 53 H 0.076 0.924 54 H 0.191 0.809 55 H 0.137 0.863 56 H 0.381 0.619 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 4.627 -0.162 1.833 4.980 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 -0.084 4.084 2 N -0.068 5.068 3 C -0.166 4.166 4 C 0.393 3.607 5 O -0.459 6.459 6 N -0.336 5.336 7 C -0.038 4.038 8 C -0.198 4.198 9 C 0.045 3.955 10 O -0.582 6.582 11 Si 1.446 2.554 12 C -0.624 4.624 13 C -0.615 4.615 14 C -0.427 4.427 15 C -0.196 4.196 16 C -0.198 4.198 17 C -0.194 4.194 18 C -0.015 4.015 19 C -0.134 4.134 20 C -0.279 4.279 21 Br 0.074 6.926 22 C -0.068 4.068 23 C -0.178 4.178 24 O -0.346 6.346 25 Si 0.769 3.231 26 H -0.183 1.183 27 H -0.169 1.169 28 H -0.136 1.136 29 H 0.105 0.895 30 H 0.133 0.867 31 H 0.114 0.886 32 H 0.119 0.881 33 H 0.110 0.890 34 H 0.136 0.864 35 H 0.117 0.883 36 H 0.113 0.887 37 H 0.090 0.910 38 H 0.097 0.903 39 H 0.084 0.916 40 H 0.096 0.904 41 H 0.096 0.904 42 H 0.099 0.901 43 H 0.077 0.923 44 H 0.065 0.935 45 H 0.074 0.926 46 H 0.086 0.914 47 H 0.067 0.933 48 H 0.080 0.920 49 H 0.075 0.925 50 H 0.064 0.936 51 H 0.084 0.916 52 H 0.098 0.902 53 H 0.094 0.906 54 H 0.208 0.792 55 H 0.155 0.845 56 H 0.232 0.768 Dipole moment (debyes) X Y Z Total from point charges 3.553 -0.906 2.236 4.295 hybrid contribution -0.108 1.172 -0.153 1.187 sum 3.445 0.265 2.083 4.034 Atomic orbital electron populations 1.22546 0.74214 1.06346 1.05273 1.43943 1.07841 1.03856 1.51192 1.19925 0.90466 0.87299 1.18892 1.16582 0.84472 0.83214 0.76454 1.90810 1.16970 1.84865 1.53244 1.47910 1.08800 1.05714 1.71178 1.22786 0.78131 0.99086 1.03841 1.23483 0.99547 0.92598 1.04192 1.22713 0.94214 0.80270 0.98299 1.85346 1.78040 1.24076 1.70690 0.76223 0.60041 0.60565 0.58584 1.27180 1.06672 1.04719 1.23854 1.27119 1.21560 1.07553 1.05270 1.25973 0.97589 1.18180 1.00952 1.21560 0.95512 1.00766 1.01758 1.21607 0.99333 0.99485 0.99413 1.21543 1.01305 1.01633 0.94898 1.22318 0.98003 0.78268 1.02901 1.22138 0.96072 0.92938 1.02242 1.20912 0.91246 0.95233 1.20500 1.96646 1.35945 1.61887 1.98082 1.21142 0.89806 0.90406 1.05480 1.24903 1.03646 0.86673 1.02536 1.86530 1.26671 1.74956 1.46459 0.85599 0.84259 0.79933 0.73304 1.18258 1.16932 1.13646 0.89484 0.86700 0.88570 0.88150 0.88990 0.86388 0.88312 0.88722 0.90991 0.90316 0.91572 0.90415 0.90443 0.90062 0.92324 0.93486 0.92554 0.91441 0.93325 0.92024 0.92458 0.93642 0.91643 0.90234 0.90583 0.79184 0.84533 0.76815 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 0.06 0.01 10.20 127.77 1.30 1.31 16 2 N -0.40 -1.48 3.16 -519.61 -1.64 -3.12 16 3 C -0.05 -0.23 6.85 40.35 0.28 0.05 16 4 C 0.60 4.01 7.81 86.45 0.68 4.69 16 5 O -0.58 -7.47 15.05 -4.35 -0.07 -7.54 16 6 N -0.60 -0.63 3.32 -816.06 -2.71 -3.34 16 7 C 0.08 -0.52 5.04 86.73 0.44 -0.08 16 8 C -0.16 1.29 5.95 31.78 0.19 1.48 16 9 C 0.10 -0.44 2.95 32.06 0.09 -0.34 16 10 O -0.62 1.59 8.41 -148.98 -1.25 0.34 16 11 Si 1.32 -6.65 8.15 68.60 0.56 -6.09 16 12 C -0.52 1.76 8.56 113.37 0.97 2.73 16 13 C -0.51 3.45 8.05 113.37 0.91 4.36 16 14 C -0.38 0.77 0.53 -10.79 -0.01 0.76 16 15 C -0.14 0.00 7.85 71.98 0.56 0.56 16 16 C -0.14 0.36 7.85 71.98 0.56 0.93 16 17 C -0.14 0.18 7.85 71.98 0.56 0.75 16 18 C 0.11 0.08 6.64 86.93 0.58 0.66 16 19 C -0.11 -0.06 9.36 22.58 0.21 0.15 16 20 C -0.19 -0.37 6.08 22.03 0.13 -0.24 16 21 Br -0.01 0.00 28.89 -20.37 -0.59 -0.59 16 22 C 0.05 0.14 5.32 41.34 0.22 0.36 16 23 C -0.07 0.00 2.78 71.23 0.20 0.20 16 24 O -0.54 -1.33 12.88 -148.98 -1.92 -3.25 16 25 Si 0.95 -0.64 26.78 68.60 1.84 1.19 16 26 H -0.26 -0.35 7.11 99.48 0.71 0.36 16 27 H -0.25 -0.13 7.11 99.48 0.71 0.58 16 28 H -0.22 0.23 5.77 99.48 0.57 0.81 16 29 H 0.09 -0.02 8.14 -2.39 -0.02 -0.04 16 30 H 0.11 -0.68 6.82 -2.39 -0.02 -0.70 16 31 H 0.10 0.30 6.53 -2.39 -0.02 0.28 16 32 H 0.10 -0.96 6.22 -2.39 -0.01 -0.97 16 33 H 0.09 -0.69 7.55 -2.39 -0.02 -0.70 16 34 H 0.12 -1.45 6.28 -2.38 -0.01 -1.47 16 35 H 0.10 -0.77 8.14 -2.38 -0.02 -0.79 16 36 H 0.10 -0.67 6.33 -2.38 -0.02 -0.68 16 37 H 0.07 -0.32 7.12 -2.39 -0.02 -0.33 16 38 H 0.08 -0.31 7.79 -2.39 -0.02 -0.32 16 39 H 0.07 -0.11 7.79 -2.39 -0.02 -0.13 16 40 H 0.08 -0.52 7.79 -2.39 -0.02 -0.54 16 41 H 0.08 -0.51 7.79 -2.39 -0.02 -0.53 16 42 H 0.08 -0.73 6.34 -2.39 -0.02 -0.74 16 43 H 0.06 -0.06 7.80 -2.39 -0.02 -0.08 16 44 H 0.05 0.05 8.14 -2.39 -0.02 0.03 16 45 H 0.06 0.04 7.97 -2.38 -0.02 0.02 16 46 H 0.07 -0.32 7.79 -2.39 -0.02 -0.34 16 47 H 0.05 -0.04 8.14 -2.39 -0.02 -0.06 16 48 H 0.06 -0.23 7.80 -2.39 -0.02 -0.25 16 49 H 0.06 -0.05 7.96 -2.39 -0.02 -0.07 16 50 H 0.04 0.01 8.14 -2.39 -0.02 -0.01 16 51 H 0.06 -0.23 7.79 -2.38 -0.02 -0.25 16 52 H 0.08 0.18 8.14 -2.39 -0.02 0.16 16 53 H 0.08 0.22 8.07 -2.39 -0.02 0.20 16 54 H 0.19 -1.02 4.42 -2.91 -0.01 -1.03 16 55 H 0.14 -0.53 6.44 -2.39 -0.02 -0.54 16 56 H 0.38 -0.12 6.14 -74.06 -0.45 -0.58 16 Total: 0.00 -15.95 441.67 3.16 -12.79 By element: Atomic # 1 Polarization: -9.77 SS G_CDS: 1.05 Total: -8.72 kcal Atomic # 6 Polarization: 10.43 SS G_CDS: 7.89 Total: 18.32 kcal Atomic # 7 Polarization: -2.11 SS G_CDS: -4.36 Total: -6.46 kcal Atomic # 8 Polarization: -7.21 SS G_CDS: -3.24 Total: -10.45 kcal Atomic # 14 Polarization: -7.29 SS G_CDS: 2.40 Total: -4.90 kcal Atomic # 35 Polarization: 0.00 SS G_CDS: -0.59 Total: -0.59 kcal Total: -15.95 3.16 -12.79 kcal The number of atoms in the molecule is 56 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_22_12102952_5000100.mol2 56 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 -76.518 kcal (2) G-P(sol) polarization free energy of solvation -15.949 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -92.467 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 3.157 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -12.792 kcal (6) G-S(sol) free energy of system = (1) + (5) -89.310 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.20 seconds