Wall clock time and date at job start Sun Mar 7 2021 11:43:40 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 O 1.42904 * 1 3 3 C 1.35990 * 117.00062 * 2 1 4 4 C 1.38555 * 120.06484 * 0.02562 * 3 2 1 5 5 C 1.38273 * 120.01709 * 180.02562 * 4 3 2 6 6 C 1.50708 * 119.92268 * 179.97438 * 5 4 3 7 7 O 1.42903 * 109.47016 * 300.00602 * 6 5 4 8 8 Si 1.86294 * 109.47228 * 180.02562 * 6 5 4 9 9 C 1.38210 * 120.15806 * 0.24350 * 5 4 3 10 10 C 1.38377 * 120.13098 * 359.48144 * 9 5 4 11 11 Cl 1.73601 * 120.01502 * 180.25484 * 10 9 5 12 12 C 1.38631 * 119.97707 * 0.53812 * 10 9 5 13 13 O 1.36021 * 120.07854 * 179.69943 * 12 10 9 14 14 C 1.42897 * 116.99764 * 270.02201 * 13 12 10 15 15 C 1.52997 * 109.47232 * 90.00198 * 14 13 12 16 16 C 1.50703 * 109.46756 * 209.99667 * 14 13 12 17 17 O 1.21286 * 119.99770 * 0.02562 * 16 14 13 18 18 N 1.34773 * 120.00343 * 180.02562 * 16 14 13 19 19 C 1.46494 * 120.00622 * 180.02562 * 18 16 14 20 20 H 1.08998 * 112.85014 * 336.19950 * 19 18 16 21 21 C 1.53782 * 113.61686 * 107.49962 * 19 18 16 22 22 C 1.53775 * 87.08158 * 139.98261 * 21 19 18 23 23 O 1.42903 * 113.61148 * 89.11648 * 22 21 19 24 24 C 1.42902 * 113.99837 * 197.22538 * 23 22 21 25 25 C 1.53006 * 113.69501 * 220.00895 * 22 21 19 26 26 F 1.39899 * 109.47191 * 152.34184 * 25 22 21 27 27 F 1.39898 * 109.47225 * 272.34621 * 25 22 21 28 28 F 1.39902 * 109.46408 * 32.34232 * 25 22 21 29 29 C 1.53780 * 87.08502 * 334.56976 * 22 21 19 30 30 H 1.09008 * 109.46895 * 179.97438 * 1 2 3 31 31 H 1.09005 * 109.46419 * 299.99232 * 1 2 3 32 32 H 1.08991 * 109.47719 * 59.99788 * 1 2 3 33 33 H 1.08002 * 119.98893 * 0.02983 * 4 3 2 34 34 H 1.08998 * 109.46696 * 60.00341 * 6 5 4 35 35 H 0.96699 * 114.00132 * 299.99822 * 7 6 5 36 36 H 1.48497 * 109.99811 * 179.97438 * 8 6 5 37 37 H 1.48496 * 109.99968 * 301.31962 * 8 6 5 38 38 H 1.07993 * 119.93607 * 179.74112 * 9 5 4 39 39 H 1.08996 * 109.47367 * 329.99203 * 14 13 12 40 40 H 1.09004 * 109.47069 * 299.99186 * 15 14 13 41 41 H 1.08999 * 109.47539 * 59.99717 * 15 14 13 42 42 H 1.08998 * 109.47080 * 179.97438 * 15 14 13 43 43 H 0.97002 * 119.99613 * 0.02562 * 18 16 14 44 44 H 1.08998 * 113.61486 * 254.53893 * 21 19 18 45 45 H 1.09007 * 113.61247 * 25.43607 * 21 19 18 46 46 H 1.09001 * 109.46478 * 176.61871 * 24 23 22 47 47 H 1.08996 * 109.47712 * 296.62342 * 24 23 22 48 48 H 1.09004 * 109.46838 * 56.62808 * 24 23 22 49 49 H 1.08994 * 113.61353 * 270.88430 * 29 22 21 50 50 H 1.08996 * 113.61577 * 139.97671 * 29 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 8 1.4290 0.0000 0.0000 3 6 2.0464 1.2117 0.0000 4 6 1.2931 2.3746 0.0005 5 6 1.9219 3.6060 0.0000 6 6 1.1005 4.8696 0.0000 7 8 0.2755 4.9014 -1.1664 8 14 2.2345 6.3476 -0.0016 9 6 3.3020 3.6810 -0.0061 10 6 4.0605 2.5237 -0.0010 11 17 5.7938 2.6214 -0.0020 12 6 3.4359 1.2861 -0.0009 13 8 4.1795 0.1472 -0.0019 14 6 4.5334 -0.3953 -1.2757 15 6 5.8676 0.1997 -1.7306 16 6 4.6628 -1.8927 -1.1656 17 8 4.4703 -2.4413 -0.1011 18 7 4.9923 -2.6223 -2.2498 19 6 5.1175 -4.0779 -2.1429 20 1 5.3322 -4.4109 -1.1275 21 6 3.9671 -4.8462 -2.8146 22 6 5.0272 -5.8443 -3.3093 23 8 5.2752 -6.9153 -2.3963 24 6 6.4963 -7.6162 -2.6405 25 6 4.7957 -6.3271 -4.7426 26 9 6.0209 -6.6762 -5.3207 27 9 3.9519 -7.4429 -4.7284 28 9 4.2026 -5.3034 -5.4893 29 6 6.0445 -4.6960 -3.2028 30 1 -0.3633 -1.0278 -0.0005 31 1 -0.3632 0.5138 0.8901 32 1 -0.3634 0.5138 -0.8899 33 1 0.2145 2.3191 0.0014 34 1 0.4721 4.8943 0.8903 35 1 0.7689 4.8819 -1.9978 36 1 1.4366 7.5999 -0.0022 37 1 3.1201 6.3095 1.1899 38 1 3.7893 4.6447 -0.0108 39 1 3.7594 -0.1500 -2.0028 40 1 5.7741 1.2828 -1.8103 41 1 6.6416 -0.0457 -1.0034 42 1 6.1377 -0.2144 -2.7019 43 1 5.1466 -2.1834 -3.1010 44 1 3.2581 -5.2768 -2.1075 45 1 3.4816 -4.2912 -3.6175 46 1 6.6406 -8.3738 -1.8702 47 1 6.4506 -8.0961 -3.6181 48 1 7.3292 -6.9133 -2.6193 49 1 6.1270 -4.1001 -4.1117 50 1 7.0126 -5.0055 -2.8091 There are 78 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 78 No. of singly occupied orbitals= 1 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) F: (AM1): M.J.S. DEWAR AND E. G. ZOEBISCH, THEOCHEM, 180, 1 (1988). Si: (AM1): M.J.S.DEWAR, C. JIE, ORGANOMETALLICS, 6, 1486-1490 (1987). Cl: (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=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV s_22_16772210_13428712.mol2 50 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 11:43:40 Heat of formation + Delta-G solvation = -261.866620 kcal Electronic energy + Delta-G solvation = -42864.976796 eV Core-core repulsion = 36666.145443 eV Total energy + Delta-G solvation = -6198.831353 eV No. of doubly occupied orbitals = 78 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 440.114 amu Computer time = 1.52 seconds Orbital eigenvalues (eV) -51.21824 -48.76828 -48.64501 -42.02045 -41.64025 -40.45237 -39.30042 -38.98947 -37.80210 -37.31905 -36.95197 -34.65831 -32.95700 -31.47668 -31.34943 -29.06526 -28.68472 -28.20607 -26.92943 -26.86436 -25.67881 -23.86843 -23.71150 -22.76585 -21.68165 -21.38712 -19.80350 -19.61376 -19.50475 -19.25693 -18.81502 -18.55400 -18.31670 -17.56261 -17.34485 -17.19250 -16.85323 -16.59819 -16.36887 -16.34355 -16.02106 -15.99490 -15.85533 -15.76733 -15.55785 -15.52980 -15.50194 -15.12533 -14.87509 -14.83687 -14.78553 -14.71073 -14.39524 -14.32004 -14.20508 -13.97597 -13.83173 -13.62866 -13.44864 -13.31750 -13.16884 -12.84740 -12.79135 -12.74237 -12.71350 -12.59250 -12.38344 -12.02455 -11.96985 -11.84148 -11.68011 -11.31022 -11.07541 -10.66126 -10.61159 -10.23876 -9.83985 -9.42810 -5.15505 -0.35187 -0.04275 0.84358 1.12491 1.38888 1.51924 1.53097 1.69553 1.86622 1.98033 2.11809 2.18197 2.48674 2.56021 2.65293 2.80259 3.21698 3.22010 3.33244 3.39309 3.44976 3.53948 3.68804 3.76257 3.78111 3.86829 3.90911 3.93237 4.01785 4.06194 4.11573 4.14592 4.15127 4.21224 4.30141 4.31331 4.42421 4.44948 4.50724 4.58302 4.60243 4.63434 4.68131 4.76696 4.80005 5.03701 5.04410 5.16215 5.25829 5.60967 5.88209 6.25903 6.38061 6.41181 7.13557 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.022 3.978 2 O -0.296 6.296 3 C 0.131 3.869 4 C -0.169 4.169 5 C -0.068 4.068 6 C -0.068 4.068 7 O -0.536 6.536 8 Si 0.687 3.313 9 C -0.137 4.137 10 C -0.010 4.010 11 Cl -0.035 7.035 12 C 0.071 3.929 13 O -0.281 6.281 14 C 0.077 3.923 15 C -0.182 4.182 16 C 0.522 3.478 17 O -0.503 6.503 18 N -0.720 5.720 19 C 0.143 3.857 20 H 0.132 0.868 21 C -0.132 4.132 22 C 0.045 3.955 23 O -0.330 6.330 24 C 0.011 3.989 25 C 0.440 3.560 26 F -0.180 7.180 27 F -0.172 7.172 28 F -0.175 7.175 29 C -0.162 4.162 30 H 0.106 0.894 31 H 0.060 0.940 32 H 0.060 0.940 33 H 0.145 0.855 34 H 0.120 0.880 35 H 0.381 0.619 36 H -0.250 1.250 37 H -0.253 1.253 38 H 0.144 0.856 39 H 0.091 0.909 40 H 0.082 0.918 41 H 0.075 0.925 42 H 0.073 0.927 43 H 0.403 0.597 44 H 0.102 0.898 45 H 0.115 0.885 46 H 0.103 0.897 47 H 0.053 0.947 48 H 0.056 0.944 49 H 0.109 0.891 50 H 0.101 0.899 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.080 3.105 -5.285 6.224 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 -0.073 4.073 2 O -0.208 6.208 3 C 0.084 3.916 4 C -0.188 4.188 5 C -0.069 4.069 6 C -0.179 4.179 7 O -0.342 6.342 8 Si 0.588 3.412 9 C -0.156 4.156 10 C -0.038 4.038 11 Cl -0.005 7.005 12 C 0.026 3.974 13 O -0.197 6.197 14 C 0.018 3.982 15 C -0.240 4.240 16 C 0.306 3.694 17 O -0.376 6.376 18 N -0.374 5.374 19 C 0.038 3.962 20 H 0.149 0.851 21 C -0.171 4.171 22 C 0.001 3.999 23 O -0.247 6.247 24 C -0.085 4.085 25 C 0.385 3.615 26 F -0.162 7.162 27 F -0.153 7.153 28 F -0.157 7.157 29 C -0.200 4.200 30 H 0.125 0.875 31 H 0.078 0.922 32 H 0.079 0.921 33 H 0.163 0.837 34 H 0.138 0.862 35 H 0.228 0.772 36 H -0.175 1.175 37 H -0.177 1.177 38 H 0.161 0.839 39 H 0.109 0.891 40 H 0.101 0.899 41 H 0.094 0.906 42 H 0.092 0.908 43 H 0.238 0.762 44 H 0.121 0.879 45 H 0.133 0.867 46 H 0.122 0.878 47 H 0.071 0.929 48 H 0.074 0.926 49 H 0.127 0.873 50 H 0.119 0.881 Dipole moment (debyes) X Y Z Total from point charges 0.894 3.096 -3.309 4.618 hybrid contribution -0.226 -0.334 -0.788 0.885 sum 0.668 2.762 -4.096 4.985 Atomic orbital electron populations 1.23227 0.77501 1.04802 1.01746 1.86255 1.21865 1.25073 1.87626 1.19250 0.90908 0.85576 0.95850 1.21149 1.01071 0.90564 1.06023 1.20123 0.92880 0.95757 0.98138 1.25103 0.99724 1.01334 0.91741 1.86523 1.35466 1.96861 1.15328 0.94693 0.80774 0.76652 0.89060 1.20744 0.92747 0.97200 1.04878 1.20916 0.86188 0.93123 1.03540 1.98397 1.07677 1.98322 1.96137 1.17573 0.86590 0.85599 1.07683 1.86294 1.69434 1.37443 1.26494 1.22166 0.98760 0.91005 0.86315 1.22612 0.96047 1.03339 1.01984 1.20267 0.76515 0.88454 0.84121 1.90781 1.46784 1.72464 1.27546 1.45800 1.72370 1.06793 1.12418 1.22228 0.94312 0.79008 1.00638 0.85074 1.23737 0.97212 0.93857 1.02280 1.23550 1.02357 0.88740 0.85228 1.88138 1.41667 1.44868 1.50033 1.23157 0.85602 0.96779 1.02946 1.21049 0.74385 0.75940 0.90098 1.93198 1.43939 1.92214 1.86830 1.93228 1.71604 1.53617 1.96898 1.93176 1.84194 1.59338 1.78945 1.24014 0.99271 0.95382 1.01351 0.87539 0.92160 0.92139 0.83693 0.86234 0.77168 1.17474 1.17743 0.83858 0.89107 0.89912 0.90588 0.90802 0.76177 0.87900 0.86662 0.87839 0.92878 0.92550 0.87281 0.88056 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 0.02 -0.03 9.81 101.05 0.99 0.96 16 2 O -0.30 -0.67 10.28 -34.21 -0.35 -1.02 16 3 C 0.13 0.22 6.70 -39.13 -0.26 -0.04 16 4 C -0.17 0.02 8.60 -39.45 -0.34 -0.32 16 5 C -0.07 0.06 5.39 -104.62 -0.56 -0.50 16 6 C -0.07 0.11 2.82 36.01 0.10 0.22 16 7 O -0.54 0.85 12.76 -35.23 -0.45 0.40 16 8 Si 0.69 -1.45 29.78 -169.99 -5.06 -6.51 16 9 C -0.14 0.09 8.45 -39.54 -0.33 -0.24 16 10 C -0.01 -0.01 6.24 -39.39 -0.25 -0.25 16 11 Cl -0.03 -0.02 24.90 -51.86 -1.29 -1.31 16 12 C 0.07 0.16 5.56 -39.10 -0.22 -0.05 16 13 O -0.28 -1.03 8.55 -47.44 -0.41 -1.44 16 14 C 0.08 0.03 3.20 -27.88 -0.09 -0.06 16 15 C -0.18 0.32 8.29 37.16 0.31 0.63 16 16 C 0.52 0.94 7.23 -10.99 -0.08 0.86 16 17 O -0.50 -3.33 16.10 -14.36 -0.23 -3.56 16 18 N -0.72 1.28 5.25 -53.02 -0.28 1.01 16 19 C 0.14 -0.17 4.17 -67.12 -0.28 -0.45 16 20 H 0.13 0.11 7.46 -51.93 -0.39 -0.28 16 21 C -0.13 0.16 7.13 -25.92 -0.18 -0.03 16 22 C 0.04 -0.03 0.85 -89.81 -0.08 -0.11 16 23 O -0.33 -0.22 10.33 -35.23 -0.36 -0.58 16 24 C 0.01 -0.01 10.33 101.05 1.04 1.03 16 25 C 0.44 0.25 2.51 37.16 0.09 0.34 16 26 F -0.18 -0.14 15.38 2.25 0.03 -0.10 16 27 F -0.17 -0.43 17.09 2.25 0.04 -0.39 16 28 F -0.18 -0.04 15.82 2.25 0.04 -0.01 16 29 C -0.16 0.45 6.66 -25.92 -0.17 0.28 16 30 H 0.11 -0.27 8.14 -51.92 -0.42 -0.69 16 31 H 0.06 -0.13 7.66 -51.93 -0.40 -0.53 16 32 H 0.06 -0.17 7.66 -51.93 -0.40 -0.57 16 33 H 0.15 -0.19 6.30 -52.49 -0.33 -0.52 16 34 H 0.12 -0.17 7.96 -51.93 -0.41 -0.58 16 35 H 0.38 -2.08 8.70 45.56 0.40 -1.69 16 36 H -0.25 -0.27 7.11 56.52 0.40 0.13 16 37 H -0.25 -0.10 7.11 56.52 0.40 0.30 16 38 H 0.14 -0.34 4.86 -52.49 -0.26 -0.60 16 39 H 0.09 -0.12 7.91 -51.93 -0.41 -0.53 16 40 H 0.08 -0.14 5.45 -51.93 -0.28 -0.43 16 41 H 0.08 -0.03 8.14 -51.93 -0.42 -0.45 16 42 H 0.07 -0.32 7.56 -51.93 -0.39 -0.72 16 43 H 0.40 -1.95 8.14 -40.82 -0.33 -2.28 16 44 H 0.10 -0.03 8.14 -51.93 -0.42 -0.45 16 45 H 0.12 -0.27 7.02 -51.93 -0.36 -0.63 16 46 H 0.10 -0.25 8.14 -51.93 -0.42 -0.68 16 47 H 0.05 -0.05 6.61 -51.93 -0.34 -0.39 16 48 H 0.06 -0.15 6.59 -51.93 -0.34 -0.50 16 49 H 0.11 -0.47 8.04 -51.93 -0.42 -0.89 16 50 H 0.10 -0.33 6.68 -51.93 -0.35 -0.68 16 LS Contribution 431.58 15.07 6.50 6.50 Total: 0.00 -10.37 431.58 -8.03 -18.40 By element: Atomic # 1 Polarization: -7.74 SS G_CDS: -5.91 Total: -13.65 kcal Atomic # 6 Polarization: 2.56 SS G_CDS: -0.31 Total: 2.25 kcal Atomic # 7 Polarization: 1.28 SS G_CDS: -0.28 Total: 1.01 kcal Atomic # 8 Polarization: -4.40 SS G_CDS: -1.80 Total: -6.20 kcal Atomic # 9 Polarization: -0.61 SS G_CDS: 0.11 Total: -0.50 kcal Atomic # 14 Polarization: -1.45 SS G_CDS: -5.06 Total: -6.51 kcal Atomic # 17 Polarization: -0.02 SS G_CDS: -1.29 Total: -1.31 kcal Total LS contribution 6.50 Total: 6.50 kcal Total: -10.37 -8.03 -18.40 kcal The number of atoms in the molecule is 50 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_16772210_13428712.mol2 50 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 -243.464 kcal (2) G-P(sol) polarization free energy of solvation -10.368 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -253.832 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.035 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -18.403 kcal (6) G-S(sol) free energy of system = (1) + (5) -261.867 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.52 seconds