Wall clock time and date at job start Fri Mar 5 2021 05:12:17 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 * 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 C 1.17403 * 1 3 3 C 1.43199 * 179.97438 * 2 1 4 4 C 1.39718 * 119.99638 * 290.17795 * 3 2 1 5 5 C 1.37601 * 120.00762 * 180.02562 * 4 3 2 6 6 C 1.39744 * 119.99159 * 0.02562 * 5 4 3 7 7 C 1.47683 * 120.00323 * 180.02562 * 6 5 4 8 8 O 1.21584 * 119.99877 * 359.97438 * 7 6 5 9 9 N 1.34783 * 120.00261 * 179.97438 * 7 6 5 10 10 C 1.46497 * 119.99798 * 179.97438 * 9 7 6 11 11 C 1.52997 * 109.47287 * 85.00507 * 10 9 7 12 12 C 1.53006 * 109.47007 * 204.99954 * 10 9 7 13 13 N 1.46902 * 109.46626 * 55.00144 * 12 10 9 14 14 H 1.00899 * 109.47524 * 304.99579 * 13 12 10 15 15 C 1.46896 * 109.46949 * 65.00287 * 13 12 10 16 16 C 1.46905 * 109.46620 * 184.99871 * 13 12 10 17 17 C 1.50706 * 109.46614 * 175.00046 * 16 13 12 18 18 C 1.37947 * 119.92783 * 269.72582 * 17 16 13 19 19 C 1.39562 * 119.85290 * 179.73311 * 18 17 16 20 20 C 1.43199 * 120.14116 * 180.24935 * 19 18 17 21 21 C 8.65265 * 111.94636 * 149.56105 * 2 1 3 22 22 C 1.39520 * 119.71780 * 0.56784 * 19 18 17 23 23 C 1.37992 * 119.85229 * 359.70233 * 22 19 18 24 24 C 1.50698 * 119.92844 * 179.97438 * 23 22 19 25 25 O 1.42899 * 109.47592 * 245.02603 * 24 23 22 26 26 Si 1.86309 * 109.46893 * 5.02695 * 24 23 22 27 27 H 1.48497 * 109.46873 * 59.99826 * 26 24 23 28 28 H 1.48496 * 109.46718 * 179.97438 * 26 24 23 29 29 H 1.48494 * 109.47024 * 299.99761 * 26 24 23 30 30 C 1.38326 * 120.14227 * 0.02562 * 23 22 19 31 31 C 1.39743 * 119.99427 * 0.27036 * 6 5 4 32 32 C 1.37600 * 119.99737 * 359.47249 * 31 6 5 33 33 H 4.51946 * 14.06564 * 359.97438 * 4 2 1 34 34 H 1.08006 * 119.99916 * 359.97438 * 4 3 2 35 35 H 1.07993 * 120.00246 * 179.97438 * 5 4 3 36 36 H 0.96999 * 119.99545 * 0.02562 * 9 7 6 37 37 H 1.08995 * 109.47494 * 324.99710 * 10 9 7 38 38 H 1.09004 * 109.47394 * 59.98949 * 11 10 9 39 39 H 1.08990 * 109.47621 * 179.97438 * 11 10 9 40 40 H 1.09002 * 109.46731 * 299.99570 * 11 10 9 41 41 H 1.08993 * 109.46955 * 175.00490 * 12 10 9 42 42 H 1.09000 * 109.47050 * 295.00319 * 12 10 9 43 43 H 1.09001 * 109.46712 * 179.97438 * 15 13 12 44 44 H 1.08997 * 109.47137 * 299.99370 * 15 13 12 45 45 H 1.09000 * 109.47624 * 60.00157 * 15 13 12 46 46 H 1.08992 * 109.47233 * 294.99870 * 16 13 12 47 47 H 1.08998 * 109.46824 * 55.00503 * 16 13 12 48 48 H 1.07996 * 120.07572 * 359.97438 * 18 17 16 49 49 H 8.71637 * 105.26985 * 147.64438 * 2 1 3 50 50 H 1.07997 * 120.07296 * 179.73147 * 22 19 18 51 51 H 1.09001 * 109.46991 * 125.02167 * 24 23 22 52 52 H 0.96705 * 113.99803 * 59.99877 * 25 24 23 53 53 H 1.08002 * 119.85290 * 179.97438 * 30 23 22 54 54 H 1.08002 * 120.00577 * 179.72232 * 31 6 5 55 55 H 1.08000 * 120.00239 * 180.22568 * 32 31 6 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 1.1740 0.0000 0.0000 3 6 2.6060 0.0006 0.0000 4 6 3.3047 -0.4164 1.1358 5 6 4.6807 -0.4154 1.1362 6 6 5.3793 0.0034 0.0007 7 6 6.8562 0.0040 0.0007 8 8 7.4642 -0.3594 0.9888 9 7 7.5299 0.4074 -1.0948 10 6 8.9949 0.4086 -1.0945 11 6 9.5061 -0.9830 -1.4724 12 6 9.5043 1.4324 -2.1110 13 7 8.9174 2.7469 -1.8181 14 1 7.9117 2.6687 -1.7953 15 6 9.4016 3.2197 -0.5143 16 6 9.3107 3.7023 -2.8624 17 6 8.6109 5.0166 -2.6300 18 6 7.3806 5.2528 -3.2075 19 6 6.7313 6.4683 -2.9867 20 6 5.4516 6.7179 -3.5788 21 6 4.4079 6.9195 -4.0659 22 6 7.3374 7.4418 -2.1920 23 6 8.5709 7.1952 -1.6247 24 6 9.2274 8.2457 -0.7665 25 8 10.4262 8.6971 -1.3997 26 14 8.0629 9.6831 -0.5449 27 1 6.8171 9.2139 0.1131 28 1 8.7096 10.7179 0.3013 29 1 7.7339 10.2626 -1.8718 30 6 9.2065 5.9861 -1.8429 31 6 4.6804 0.4263 -1.1331 32 6 3.3044 0.4202 -1.1350 33 1 -1.0499 0.0003 0.0005 34 1 2.7648 -0.7389 2.0138 35 1 5.2207 -0.7374 2.0143 36 1 7.0448 0.6977 -1.8830 37 1 9.3579 0.6716 -0.1009 38 1 9.1431 -1.2461 -2.4660 39 1 10.5960 -0.9821 -1.4727 40 1 9.1432 -1.7124 -0.7483 41 1 10.5905 1.4972 -2.0482 42 1 9.2163 1.1215 -3.1153 43 1 8.9665 4.1952 -0.2972 44 1 9.1098 2.5108 0.2605 45 1 10.4880 3.3043 -0.5390 46 1 10.3895 3.8541 -2.8283 47 1 9.0297 3.3088 -3.8392 48 1 6.9190 4.4973 -3.8259 49 1 3.4696 7.1031 -4.5001 50 1 6.8421 8.3861 -2.0209 51 1 9.4689 7.8202 0.2075 52 1 10.2865 9.0885 -2.2729 53 1 10.1721 5.7982 -1.3969 54 1 5.2201 0.7543 -2.0092 55 1 2.7641 0.7436 -2.0125 RHF calculation, no. of doubly occupied orbitals= 72 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=WATER m_275030_14114016_14126694_16591380.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Fri Mar 5 2021 05:12:17 Heat of formation + Delta-G solvation = 195.854608 kcal Electronic energy + Delta-G solvation = -35836.529634 eV Core-core repulsion = 31391.434486 eV Total energy + Delta-G solvation = -4445.095148 eV No. of doubly occupied orbitals = 72 Molecular weight (most abundant/longest-lived isotopes) = 391.193 amu Computer time = 1.44 seconds Orbital eigenvalues (eV) -42.79788 -41.39216 -40.55953 -39.58380 -37.82633 -36.80363 -35.06317 -34.93018 -33.63535 -32.81780 -32.02558 -31.58600 -30.98869 -29.39289 -28.25065 -26.97389 -25.93954 -25.48323 -24.52789 -23.82190 -22.95914 -22.02459 -21.81334 -20.16051 -20.06480 -19.43064 -18.74006 -18.18294 -17.97091 -17.85446 -17.46725 -17.15202 -16.78339 -16.62800 -16.37386 -16.20992 -16.05624 -15.93426 -15.82426 -15.53129 -14.99091 -14.83507 -14.61533 -14.47441 -14.40582 -14.27221 -14.16101 -13.74976 -13.66063 -13.48797 -13.40314 -13.38116 -13.13743 -13.06469 -12.91211 -12.78186 -12.51336 -12.40129 -12.34139 -12.25428 -12.17918 -12.05639 -11.87150 -11.57721 -11.55907 -11.25720 -10.56780 -10.51307 -10.17978 -10.14326 -9.70365 -9.65314 -0.64091 -0.32835 -0.08717 0.23718 0.90027 1.08542 1.27686 1.34082 1.34907 1.63084 1.65899 1.77365 1.83490 1.86822 2.15722 2.59197 2.71218 2.86844 2.91574 3.09320 3.16971 3.18520 3.33532 3.44213 3.53451 3.54860 3.61910 3.72606 3.80694 3.83461 3.90421 4.03978 4.05607 4.10626 4.15887 4.20062 4.25143 4.33849 4.37926 4.42666 4.46587 4.49270 4.53961 4.60934 4.63636 4.69523 4.76400 4.80071 4.81140 4.86424 4.94394 5.00017 5.08437 5.14053 5.20951 5.21714 5.24139 5.27132 5.32323 5.38285 5.67471 5.68638 6.24308 6.43206 6.46218 6.60587 6.99222 Molecular weight = 391.19amu Principal moments of inertia in cm(-1) A = 0.006591 B = 0.002515 C = 0.002063 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 4247.009066 B =11129.111471 C =13568.896639 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.145 4.145 2 C -0.209 4.209 3 C 0.025 3.975 4 C -0.121 4.121 5 C -0.071 4.071 6 C -0.145 4.145 7 C 0.572 3.428 8 O -0.562 6.562 9 N -0.721 5.721 10 C 0.119 3.881 11 C -0.171 4.171 12 C -0.003 4.003 13 N -0.378 5.378 14 H 0.425 0.575 15 C -0.067 4.067 16 C 0.052 3.948 17 C -0.128 4.128 18 C -0.058 4.058 19 C -0.002 4.002 20 C -0.199 4.199 21 C -0.159 4.159 22 C -0.105 4.105 23 C -0.121 4.121 24 C -0.049 4.049 25 O -0.544 6.544 26 Si 0.934 3.066 27 H -0.266 1.266 28 H -0.285 1.285 29 H -0.269 1.269 30 C -0.048 4.048 31 C -0.062 4.062 32 C -0.110 4.110 33 H 0.251 0.749 34 H 0.127 0.873 35 H 0.130 0.870 36 H 0.420 0.580 37 H 0.105 0.895 38 H 0.081 0.919 39 H 0.090 0.910 40 H 0.031 0.969 41 H 0.180 0.820 42 H 0.174 0.826 43 H 0.117 0.883 44 H 0.109 0.891 45 H 0.151 0.849 46 H 0.172 0.828 47 H 0.175 0.825 48 H 0.168 0.832 49 H 0.241 0.759 50 H 0.103 0.897 51 H 0.147 0.853 52 H 0.390 0.610 53 H 0.173 0.827 54 H 0.187 0.813 55 H 0.151 0.849 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.638 -3.616 -9.966 15.019 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 -0.162 4.162 2 C -0.209 4.209 3 C 0.024 3.976 4 C -0.139 4.139 5 C -0.090 4.090 6 C -0.148 4.148 7 C 0.360 3.640 8 O -0.440 6.440 9 N -0.378 5.378 10 C 0.015 3.985 11 C -0.230 4.230 12 C -0.125 4.125 13 N 0.046 4.954 14 H 0.261 0.739 15 C -0.209 4.209 16 C -0.067 4.067 17 C -0.128 4.128 18 C -0.076 4.076 19 C -0.002 4.002 20 C -0.199 4.199 21 C -0.176 4.176 22 C -0.123 4.123 23 C -0.122 4.122 24 C -0.163 4.163 25 O -0.351 6.351 26 Si 0.764 3.236 27 H -0.190 1.190 28 H -0.211 1.211 29 H -0.194 1.194 30 C -0.066 4.066 31 C -0.080 4.080 32 C -0.128 4.128 33 H 0.267 0.733 34 H 0.145 0.855 35 H 0.148 0.852 36 H 0.260 0.740 37 H 0.123 0.877 38 H 0.100 0.900 39 H 0.109 0.891 40 H 0.050 0.950 41 H 0.197 0.803 42 H 0.192 0.808 43 H 0.135 0.865 44 H 0.128 0.872 45 H 0.170 0.830 46 H 0.189 0.811 47 H 0.192 0.808 48 H 0.186 0.814 49 H 0.257 0.743 50 H 0.121 0.879 51 H 0.164 0.836 52 H 0.239 0.761 53 H 0.190 0.810 54 H 0.204 0.796 55 H 0.169 0.831 Dipole moment (debyes) X Y Z Total from point charges 11.090 -3.360 -8.628 14.448 hybrid contribution -2.312 0.636 -0.131 2.401 sum 8.778 -2.724 -8.760 12.697 Atomic orbital electron populations 1.25878 0.96887 0.96378 0.97017 1.20582 0.93132 1.03708 1.03509 1.16517 0.86757 0.98831 0.95464 1.21307 0.94406 1.00104 0.98089 1.21255 0.93294 0.95849 0.98620 1.20068 0.93177 1.05555 0.95991 1.18106 0.86719 0.76140 0.83011 1.90890 1.70252 1.47394 1.35451 1.45927 1.07295 1.68307 1.16227 1.21522 0.78893 0.96419 1.01710 1.22154 1.03275 0.94999 1.02580 1.24450 1.06224 0.77845 1.03942 1.45310 1.19749 1.14711 1.15675 0.73879 1.24370 1.07708 1.05585 0.83244 1.22879 1.06067 0.84403 0.93396 1.19603 0.94979 0.97224 1.01025 1.21550 0.93891 0.95168 0.96986 1.16023 0.89720 0.96137 0.98291 1.20384 0.95153 1.03108 1.01244 1.25639 0.97269 0.97147 0.97495 1.21389 0.95803 0.98703 0.96438 1.20148 0.94180 0.97885 0.99952 1.24444 0.92554 0.99620 0.99632 1.86537 1.29474 1.81442 1.37649 0.85900 0.78267 0.79517 0.79925 1.19039 1.21105 1.19399 1.21485 0.99995 0.90299 0.94867 1.21537 0.93156 0.95907 0.97397 1.21490 0.95131 0.98920 0.97244 0.73303 0.85537 0.85179 0.74030 0.87662 0.90028 0.89091 0.94972 0.80257 0.80814 0.86495 0.87230 0.83043 0.81074 0.80764 0.81411 0.74293 0.87880 0.83580 0.76070 0.80957 0.79627 0.83150 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 2.35 19.25 74.32 1.43 3.78 16 2 C -0.21 2.97 13.23 30.01 0.40 3.36 16 3 C 0.02 -0.44 5.73 -21.32 -0.12 -0.56 16 4 C -0.12 2.12 9.73 22.48 0.22 2.34 16 5 C -0.07 1.45 9.58 22.48 0.22 1.67 16 6 C -0.14 4.10 5.88 -20.05 -0.12 3.98 16 7 C 0.57 -18.36 7.73 86.74 0.67 -17.69 16 8 O -0.56 11.95 15.99 -3.98 -0.06 11.88 16 9 N -0.72 33.90 4.27 -445.54 -1.90 32.00 16 10 C 0.12 -6.03 2.30 44.99 0.10 -5.93 16 11 C -0.17 7.29 9.48 71.98 0.68 7.97 16 12 C 0.00 0.23 4.27 86.31 0.37 0.60 16 13 N -0.38 24.88 0.47 -927.05 -0.44 24.44 16 14 H 0.43 -28.31 7.08 -89.69 -0.63 -28.94 16 15 C -0.07 4.08 8.38 127.69 1.07 5.15 16 16 C 0.05 -3.38 4.81 85.56 0.41 -2.96 16 17 C -0.13 6.60 4.71 -19.90 -0.09 6.50 16 18 C -0.06 2.54 9.40 22.52 0.21 2.75 16 19 C 0.00 0.05 5.72 -21.40 -0.12 -0.07 16 20 C -0.20 4.81 13.21 30.06 0.40 5.21 16 21 C -0.16 3.78 19.23 74.37 1.43 5.21 16 22 C -0.11 2.99 8.37 22.52 0.19 3.18 16 23 C -0.12 4.19 5.35 -19.90 -0.11 4.09 16 24 C -0.05 1.48 2.80 71.24 0.20 1.67 16 25 O -0.54 15.30 12.83 -148.98 -1.91 13.39 16 26 Si 0.93 -19.64 25.14 68.60 1.72 -17.92 16 27 H -0.27 4.92 7.11 99.48 0.71 5.63 16 28 H -0.29 4.09 7.11 99.48 0.71 4.80 16 29 H -0.27 4.89 7.04 99.48 0.70 5.59 16 30 C -0.05 2.19 7.47 22.32 0.17 2.36 16 31 C -0.06 2.10 9.52 22.48 0.21 2.32 16 32 C -0.11 2.87 9.73 22.48 0.22 3.09 16 33 H 0.25 -5.70 7.80 -4.42 -0.03 -5.73 16 34 H 0.13 -2.12 8.06 -2.91 -0.02 -2.14 16 35 H 0.13 -2.39 7.64 -2.91 -0.02 -2.42 16 36 H 0.42 -23.32 6.13 -92.71 -0.57 -23.89 16 37 H 0.11 -5.01 6.09 -2.39 -0.01 -5.02 16 38 H 0.08 -3.61 8.14 -2.39 -0.02 -3.63 16 39 H 0.09 -4.01 8.14 -2.39 -0.02 -4.03 16 40 H 0.03 -0.97 8.14 -2.39 -0.02 -0.98 16 41 H 0.18 -12.41 8.09 -2.39 -0.02 -12.43 16 42 H 0.17 -12.27 8.02 -2.39 -0.02 -12.28 16 43 H 0.12 -6.78 5.94 -2.39 -0.01 -6.79 16 44 H 0.11 -6.16 6.39 -2.39 -0.02 -6.17 16 45 H 0.15 -9.81 8.08 -2.39 -0.02 -9.83 16 46 H 0.17 -11.73 8.03 -2.39 -0.02 -11.75 16 47 H 0.17 -12.17 7.96 -2.39 -0.02 -12.19 16 48 H 0.17 -8.42 8.06 -2.91 -0.02 -8.44 16 49 H 0.24 -6.83 7.80 -4.42 -0.03 -6.86 16 50 H 0.10 -2.41 4.86 -2.91 -0.01 -2.42 16 51 H 0.15 -5.04 7.96 -2.39 -0.02 -5.06 16 52 H 0.39 -12.64 8.70 -74.05 -0.64 -13.29 16 53 H 0.17 -8.81 7.94 -2.91 -0.02 -8.83 16 54 H 0.19 -8.78 6.38 -2.91 -0.02 -8.80 16 55 H 0.15 -4.39 8.06 -2.91 -0.02 -4.41 16 Total: 1.00 -93.81 455.33 5.28 -88.54 By element: Atomic # 1 Polarization: -190.17 SS G_CDS: -0.17 Total: -190.34 kcal Atomic # 6 Polarization: 29.97 SS G_CDS: 8.03 Total: 38.01 kcal Atomic # 7 Polarization: 58.78 SS G_CDS: -2.34 Total: 56.44 kcal Atomic # 8 Polarization: 27.25 SS G_CDS: -1.98 Total: 25.27 kcal Atomic # 14 Polarization: -19.64 SS G_CDS: 1.72 Total: -17.92 kcal Total: -93.81 5.28 -88.54 kcal The number of atoms in the molecule is 55 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. m_275030_14114016_14126694_16591380.mol2 55 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 284.392 kcal (2) G-P(sol) polarization free energy of solvation -93.813 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 190.579 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 5.275 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -88.537 kcal (6) G-S(sol) free energy of system = (1) + (5) 195.855 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.44 seconds