Wall clock time and date at job start Tue Mar 9 2021 13:19:05 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 1.50702 * 1 3 3 C 1.38212 * 120.00156 * 2 1 4 4 C 1.50700 * 120.00064 * 359.97438 * 3 2 1 5 5 H 1.09002 * 112.85170 * 10.92627 * 4 3 2 6 6 C 1.53787 * 113.61423 * 142.22901 * 4 3 2 7 7 C 1.53783 * 87.08072 * 139.98417 * 6 4 3 8 8 H 1.08998 * 113.68821 * 220.01195 * 7 6 4 9 9 N 1.46496 * 113.61724 * 89.11203 * 7 6 4 10 10 C 1.34774 * 119.99544 * 107.50420 * 9 7 6 11 11 O 1.21279 * 120.00472 * 0.02562 * 10 9 7 12 12 C 1.50706 * 120.00020 * 180.02562 * 10 9 7 13 13 N 1.46496 * 109.47106 * 179.97438 * 12 10 9 14 14 C 1.36829 * 125.06537 * 265.02101 * 13 12 10 15 15 C 1.34236 * 109.94062 * 179.97438 * 14 13 12 16 16 C 1.50701 * 126.49960 * 179.97438 * 15 14 13 17 17 O 1.42900 * 109.47014 * 105.02424 * 16 15 14 18 18 Si 1.86304 * 109.47168 * 345.02583 * 16 15 14 19 19 C 1.46485 * 106.99847 * 359.97438 * 15 14 13 20 20 C 1.39591 * 134.03730 * 180.02562 * 19 15 14 21 21 C 1.36659 * 119.76680 * 179.97438 * 20 19 15 22 22 C 1.38790 * 120.53049 * 0.02562 * 21 20 19 23 23 C 1.37794 * 120.66334 * 359.97438 * 22 21 20 24 24 C 1.37697 * 125.06506 * 84.72108 * 13 12 10 25 25 C 1.53776 * 113.61689 * 239.72630 * 4 3 2 26 26 C 1.38259 * 119.99832 * 179.72114 * 3 2 1 27 27 C 1.38211 * 120.00145 * 0.25445 * 26 3 2 28 28 C 1.38256 * 120.00000 * 359.97438 * 27 26 3 29 29 C 1.38217 * 120.00068 * 0.02562 * 28 27 26 30 30 H 1.09004 * 109.46773 * 89.99745 * 1 2 3 31 31 H 1.08993 * 109.47677 * 210.00024 * 1 2 3 32 32 H 1.09000 * 109.46694 * 330.00510 * 1 2 3 33 33 H 1.08998 * 113.61140 * 25.43388 * 6 4 3 34 34 H 1.09002 * 113.61226 * 254.53109 * 6 4 3 35 35 H 0.96994 * 120.00700 * 287.50539 * 9 7 6 36 36 H 1.09001 * 109.46953 * 299.99667 * 12 10 9 37 37 H 1.09000 * 109.47318 * 59.99264 * 12 10 9 38 38 H 1.08004 * 125.02875 * 359.96577 * 14 13 12 39 39 H 1.08999 * 109.47057 * 225.02531 * 16 15 14 40 40 H 0.96701 * 114.00271 * 299.99527 * 17 16 15 41 41 H 1.48499 * 110.00358 * 58.67901 * 18 16 15 42 42 H 1.48501 * 109.99888 * 180.02562 * 18 16 15 43 43 H 1.08005 * 120.11652 * 359.95871 * 20 19 15 44 44 H 1.07997 * 119.73815 * 180.02562 * 21 20 19 45 45 H 1.07990 * 119.67481 * 180.02562 * 22 21 20 46 46 H 1.07998 * 120.11437 * 179.97438 * 23 22 21 47 47 H 1.09004 * 113.61741 * 105.46510 * 25 4 3 48 48 H 1.09004 * 113.68739 * 334.57855 * 25 4 3 49 49 H 1.07997 * 119.99453 * 180.27624 * 26 3 2 50 50 H 1.07992 * 119.99992 * 180.02562 * 27 26 3 51 51 H 1.07996 * 120.00201 * 180.02562 * 28 27 26 52 52 H 1.08000 * 120.00308 * 180.02562 * 29 28 27 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 1.5070 0.0000 0.0000 3 6 2.1981 1.1969 0.0000 4 6 1.4447 2.5021 -0.0006 5 1 0.3788 2.3756 0.1894 6 6 2.1010 3.5927 0.8625 7 6 1.7304 4.5865 -0.2510 8 1 2.5052 5.3258 -0.4538 9 7 0.4029 5.1838 -0.0867 10 6 0.2859 6.4736 0.2864 11 8 1.2796 7.1399 0.4855 12 6 -1.0797 7.0881 0.4560 13 7 -0.9380 8.4882 0.8632 14 6 -0.9655 8.9377 2.1553 15 6 -0.8072 10.2704 2.1798 16 6 -0.7798 11.1475 3.4050 17 8 0.5648 11.5511 3.6718 18 14 -1.4442 10.1978 4.8636 19 6 -0.6662 10.7106 0.7897 20 6 -0.4782 11.9518 0.1792 21 6 -0.3820 12.0308 -1.1817 22 6 -0.4702 10.8868 -1.9624 23 6 -0.6557 9.6515 -1.3806 24 6 -0.7515 9.5472 0.0031 25 6 1.7523 3.3905 -1.2175 26 6 3.5807 1.1969 0.0058 27 6 4.2717 -0.0001 0.0063 28 6 3.5804 -1.1974 0.0016 29 6 2.1983 -1.1974 -0.0043 30 1 -0.3633 0.0000 -1.0277 31 1 -0.3634 -0.8899 0.5138 32 1 -0.3633 0.8901 0.5138 33 1 3.1754 3.4606 0.9902 34 1 1.5813 3.7769 1.8028 35 1 -0.3918 4.6512 -0.2463 36 1 -1.6209 7.0371 -0.4887 37 1 -1.6315 6.5416 1.2208 38 1 -1.0954 8.3127 3.0265 39 1 -1.3968 12.0297 3.2342 40 1 1.1714 10.8156 3.8338 41 1 -0.6308 8.9758 5.0873 42 1 -1.4230 11.0521 6.0781 43 1 -0.4093 12.8464 0.7803 44 1 -0.2361 12.9913 -1.6535 45 1 -0.3919 10.9652 -3.0366 46 1 -0.7236 8.7671 -1.9966 47 1 0.9513 3.4115 -1.9565 48 1 2.7311 3.2041 -1.6595 49 1 4.1206 2.1322 0.0103 50 1 5.3516 -0.0001 0.0113 51 1 4.1203 -2.1327 0.0024 52 1 1.6582 -2.1327 -0.0076 There are 69 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 69 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) 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_22_9744652_9818708.mol2 52 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 13:19:05 Heat of formation + Delta-G solvation = 55.880296 kcal Electronic energy + Delta-G solvation = -33406.424408 eV Core-core repulsion = 29110.797137 eV Total energy + Delta-G solvation = -4295.627271 eV No. of doubly occupied orbitals = 69 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 377.178 amu Computer time = 2.51 seconds Orbital eigenvalues (eV) -42.50686 -41.70262 -40.41425 -38.90034 -38.01345 -37.54774 -34.79960 -34.04046 -33.78394 -31.85037 -31.21749 -30.12430 -28.99424 -27.95778 -26.88561 -26.37168 -25.54808 -23.73800 -23.24387 -22.61343 -21.95360 -21.82705 -20.60257 -20.22311 -18.76523 -18.49365 -17.75886 -17.63977 -17.28846 -16.92470 -16.56384 -16.34340 -16.28856 -16.10040 -15.89858 -15.53800 -15.28579 -15.16235 -15.01380 -14.72715 -14.59584 -14.56625 -14.27783 -14.08372 -14.00233 -13.93795 -13.60993 -13.53203 -13.35832 -13.28526 -12.90191 -12.82233 -12.60224 -12.45095 -12.26675 -12.16483 -11.88250 -11.85788 -11.64572 -11.62629 -11.30789 -11.13018 -10.42600 -10.34428 -10.26389 -9.72622 -9.49738 -9.02529 -8.53494 -4.90985 0.27722 0.37525 0.43442 0.79527 1.34877 1.36304 1.42106 1.63089 1.71390 2.02389 2.08082 2.74011 3.11074 3.29270 3.41160 3.44698 3.54269 3.58537 3.60791 3.73582 3.79036 3.80300 3.85920 3.89316 3.94684 4.00991 4.07846 4.14157 4.29153 4.31621 4.37269 4.47820 4.49890 4.57870 4.59277 4.61257 4.66324 4.70683 4.72358 4.79283 4.80763 4.84046 4.84993 4.90615 4.98547 4.99771 5.10274 5.18114 5.25726 5.37297 5.55582 5.59282 5.64804 5.70064 5.80976 5.86427 5.90150 6.06460 6.13363 6.30326 6.36409 6.61629 6.97574 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.118 4.118 2 C -0.083 4.083 3 C -0.074 4.074 4 C -0.076 4.076 5 H 0.102 0.898 6 C -0.143 4.143 7 C 0.119 3.881 8 H 0.105 0.895 9 N -0.711 5.711 10 C 0.493 3.507 11 O -0.512 6.512 12 C 0.092 3.908 13 N -0.466 5.466 14 C 0.066 3.934 15 C -0.193 4.193 16 C -0.037 4.037 17 O -0.530 6.530 18 Si 0.682 3.318 19 C -0.086 4.086 20 C -0.065 4.065 21 C -0.146 4.146 22 C -0.096 4.096 23 C -0.128 4.128 24 C 0.109 3.891 25 C -0.133 4.133 26 C -0.113 4.113 27 C -0.123 4.123 28 C -0.119 4.119 29 C -0.119 4.119 30 H 0.071 0.929 31 H 0.066 0.934 32 H 0.068 0.932 33 H 0.095 0.905 34 H 0.073 0.927 35 H 0.402 0.598 36 H 0.119 0.881 37 H 0.124 0.876 38 H 0.168 0.832 39 H 0.114 0.886 40 H 0.374 0.626 41 H -0.261 1.261 42 H -0.257 1.257 43 H 0.123 0.877 44 H 0.123 0.877 45 H 0.125 0.875 46 H 0.114 0.886 47 H 0.077 0.923 48 H 0.098 0.902 49 H 0.122 0.878 50 H 0.122 0.878 51 H 0.122 0.878 52 H 0.121 0.879 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.167 -5.940 -1.849 8.087 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 -0.175 4.175 2 C -0.083 4.083 3 C -0.074 4.074 4 C -0.094 4.094 5 H 0.120 0.880 6 C -0.182 4.182 7 C 0.014 3.986 8 H 0.123 0.877 9 N -0.364 5.364 10 C 0.277 3.723 11 O -0.385 6.385 12 C -0.035 4.035 13 N -0.149 5.149 14 C -0.059 4.059 15 C -0.201 4.201 16 C -0.147 4.147 17 O -0.337 6.337 18 Si 0.583 3.417 19 C -0.090 4.090 20 C -0.083 4.083 21 C -0.165 4.165 22 C -0.115 4.115 23 C -0.149 4.149 24 C 0.005 3.995 25 C -0.171 4.171 26 C -0.131 4.131 27 C -0.141 4.141 28 C -0.137 4.137 29 C -0.137 4.137 30 H 0.090 0.910 31 H 0.085 0.915 32 H 0.087 0.913 33 H 0.114 0.886 34 H 0.092 0.908 35 H 0.237 0.763 36 H 0.137 0.863 37 H 0.141 0.859 38 H 0.185 0.815 39 H 0.132 0.868 40 H 0.222 0.778 41 H -0.186 1.186 42 H -0.181 1.181 43 H 0.141 0.859 44 H 0.141 0.859 45 H 0.143 0.857 46 H 0.132 0.868 47 H 0.095 0.905 48 H 0.117 0.883 49 H 0.140 0.860 50 H 0.140 0.860 51 H 0.140 0.860 52 H 0.139 0.861 Dipole moment (debyes) X Y Z Total from point charges -4.578 -5.476 -1.041 7.213 hybrid contribution 1.023 -0.761 -0.320 1.315 sum -3.554 -6.237 -1.361 7.307 Atomic orbital electron populations 1.20869 0.91335 1.02837 1.02440 1.19783 0.96006 0.92652 0.99861 1.19491 0.93456 0.93719 1.00729 1.21676 0.99700 0.90889 0.97156 0.88038 1.23564 1.01999 0.94661 0.97960 1.21875 0.85376 0.94706 0.96648 0.87709 1.45622 1.08827 1.11525 1.70407 1.21054 0.91970 0.82021 0.77270 1.90817 1.38681 1.60919 1.48092 1.21588 0.95412 0.81506 1.04946 1.43199 1.62387 1.04190 1.05117 1.21578 1.03389 0.94643 0.86253 1.20584 1.12612 0.92951 0.93911 1.24289 0.87228 1.03080 1.00131 1.86593 1.18649 1.36511 1.91899 0.95354 0.90141 0.78901 0.77278 1.18932 1.05474 0.92660 0.91945 1.20310 0.97744 0.95885 0.94385 1.20671 1.03641 0.98570 0.93590 1.20827 0.99397 0.91617 0.99707 1.19957 1.06157 0.98266 0.90482 1.18170 1.03172 0.86391 0.91790 1.23406 1.03662 0.93825 0.96247 1.20996 0.93606 0.98186 1.00347 1.21154 1.00015 0.92500 1.00420 1.21179 0.94356 0.98222 0.99947 1.21066 0.94352 0.97522 1.00763 0.91043 0.91456 0.91315 0.88626 0.90820 0.76327 0.86300 0.85853 0.81464 0.86822 0.77831 1.18603 1.18118 0.85910 0.85926 0.85738 0.86759 0.90473 0.88319 0.86007 0.86030 0.86037 0.86055 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 -0.12 0.25 9.53 36.01 0.34 0.59 16 2 C -0.08 0.00 5.88 -104.62 -0.62 -0.62 16 3 C -0.07 0.02 5.29 -104.62 -0.55 -0.54 16 4 C -0.08 0.17 3.58 -90.96 -0.33 -0.15 16 5 H 0.10 -0.35 5.75 -51.93 -0.30 -0.65 16 6 C -0.14 0.22 7.25 -25.91 -0.19 0.03 16 7 C 0.12 -0.18 4.32 -67.12 -0.29 -0.47 16 8 H 0.10 0.09 7.46 -51.93 -0.39 -0.30 16 9 N -0.71 1.97 5.26 -53.02 -0.28 1.69 16 10 C 0.49 -0.03 7.90 -10.98 -0.09 -0.12 16 11 O -0.51 -2.68 16.02 5.56 0.09 -2.59 16 12 C 0.09 -0.25 6.48 -5.19 -0.03 -0.28 16 13 N -0.47 -0.53 2.27 -115.71 -0.26 -0.79 16 14 C 0.07 0.06 9.89 -16.73 -0.17 -0.10 16 15 C -0.19 -0.47 5.58 -102.71 -0.57 -1.04 16 16 C -0.04 -0.05 3.06 36.01 0.11 0.06 16 17 O -0.53 -1.80 12.88 -35.23 -0.45 -2.26 16 18 Si 0.68 -0.26 30.82 -169.99 -5.24 -5.50 16 19 C -0.09 -0.35 6.35 -105.14 -0.67 -1.02 16 20 C -0.06 -0.23 10.05 -39.65 -0.40 -0.63 16 21 C -0.15 -0.38 9.97 -39.95 -0.40 -0.78 16 22 C -0.10 -0.21 10.01 -39.54 -0.40 -0.61 16 23 C -0.13 -0.32 10.00 -39.43 -0.39 -0.71 16 24 C 0.11 0.36 6.79 -83.99 -0.57 -0.21 16 25 C -0.13 0.34 7.29 -25.92 -0.19 0.16 16 26 C -0.11 -0.01 8.61 -39.58 -0.34 -0.35 16 27 C -0.12 -0.05 10.05 -39.58 -0.40 -0.45 16 28 C -0.12 -0.05 10.05 -39.58 -0.40 -0.45 16 29 C -0.12 -0.05 9.70 -39.58 -0.38 -0.43 16 30 H 0.07 -0.18 8.14 -51.93 -0.42 -0.61 16 31 H 0.07 -0.16 8.09 -51.93 -0.42 -0.58 16 32 H 0.07 -0.21 5.99 -51.93 -0.31 -0.52 16 33 H 0.10 -0.12 6.31 -51.93 -0.33 -0.45 16 34 H 0.07 -0.07 8.14 -51.93 -0.42 -0.49 16 35 H 0.40 -2.36 8.70 -40.82 -0.36 -2.71 16 36 H 0.12 -0.58 8.14 -51.93 -0.42 -1.01 16 37 H 0.12 -0.74 8.12 -51.93 -0.42 -1.16 16 38 H 0.17 -0.28 6.27 -52.48 -0.33 -0.61 16 39 H 0.11 0.10 7.96 -51.93 -0.41 -0.31 16 40 H 0.37 0.38 8.70 45.56 0.40 0.78 16 41 H -0.26 -0.31 7.00 56.52 0.40 0.08 16 42 H -0.26 -0.76 7.11 56.52 0.40 -0.36 16 43 H 0.12 0.33 8.06 -52.48 -0.42 -0.09 16 44 H 0.12 0.08 8.06 -52.49 -0.42 -0.34 16 45 H 0.12 0.00 8.06 -52.49 -0.42 -0.42 16 46 H 0.11 0.06 8.06 -52.49 -0.42 -0.36 16 47 H 0.08 -0.25 8.14 -51.93 -0.42 -0.67 16 48 H 0.10 -0.21 7.73 -51.93 -0.40 -0.61 16 49 H 0.12 -0.14 6.66 -52.49 -0.35 -0.49 16 50 H 0.12 -0.13 8.06 -52.49 -0.42 -0.55 16 51 H 0.12 -0.13 8.06 -52.49 -0.42 -0.55 16 52 H 0.12 -0.13 8.06 -52.49 -0.42 -0.55 16 LS Contribution 425.70 15.07 6.42 6.42 Total: 0.00 -10.58 425.70 -14.12 -24.69 By element: Atomic # 1 Polarization: -6.07 SS G_CDS: -7.47 Total: -13.55 kcal Atomic # 6 Polarization: -1.21 SS G_CDS: -6.91 Total: -8.12 kcal Atomic # 7 Polarization: 1.44 SS G_CDS: -0.54 Total: 0.90 kcal Atomic # 8 Polarization: -4.48 SS G_CDS: -0.36 Total: -4.85 kcal Atomic # 14 Polarization: -0.26 SS G_CDS: -5.24 Total: -5.50 kcal Total LS contribution 6.42 Total: 6.42 kcal Total: -10.58 -14.12 -24.69 kcal The number of atoms in the molecule is 52 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_9744652_9818708.mol2 52 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 80.573 kcal (2) G-P(sol) polarization free energy of solvation -10.577 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 69.996 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -14.116 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -24.693 kcal (6) G-S(sol) free energy of system = (1) + (5) 55.880 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.51 seconds