Wall clock time and date at job start Sat Apr 11 2020 06:12:37 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 * 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 N 1.46895 * 1 3 3 C 1.46897 * 111.00354 * 2 1 4 4 C 1.46911 * 110.99930 * 123.95509 * 2 1 3 5 5 C 1.52996 * 109.47008 * 66.04658 * 4 2 1 6 6 C 1.53005 * 109.47023 * 180.02562 * 5 4 2 7 7 C 1.50698 * 109.46885 * 180.02562 * 6 5 4 8 8 O 1.21283 * 120.00211 * 359.97438 * 7 6 5 9 9 N 1.34784 * 119.99775 * 180.02562 * 7 6 5 10 10 C 1.46491 * 120.00096 * 179.97438 * 9 7 6 11 11 C 1.52995 * 109.47360 * 186.88795 * 10 9 7 12 12 H 1.09004 * 110.72463 * 302.76529 * 11 10 9 13 13 C 1.54938 * 110.66923 * 179.67341 * 11 10 9 14 14 C 1.54596 * 102.92055 * 204.14775 * 13 11 10 15 15 C 1.53992 * 105.14147 * 21.95583 * 14 13 11 16 16 N 1.47906 * 107.05621 * 1.22451 * 15 14 13 17 17 C 1.46897 * 110.99856 * 214.15071 * 16 15 14 18 18 C 1.50698 * 109.46826 * 63.68444 * 17 16 15 19 19 O 1.21289 * 120.00450 * 352.96755 * 18 17 16 20 20 N 1.34784 * 119.99936 * 172.96837 * 18 17 16 21 21 C 1.37102 * 119.99782 * 179.97438 * 20 18 17 22 22 H 1.08000 * 119.99847 * 359.97438 * 21 20 18 23 23 C 1.38952 * 119.99752 * 179.72394 * 21 20 18 24 24 N 1.31415 * 119.99946 * 0.27414 * 23 21 20 25 25 Si 1.86800 * 120.00042 * 180.27410 * 23 21 20 26 26 H 1.48497 * 109.47026 * 0.02562 * 25 23 21 27 27 H 1.48500 * 109.46908 * 119.99912 * 25 23 21 28 28 H 1.48496 * 109.47092 * 239.99965 * 25 23 21 29 29 H 1.08995 * 109.47402 * 296.04456 * 1 2 3 30 30 H 1.09002 * 109.47042 * 56.05036 * 1 2 3 31 31 H 1.08999 * 109.47147 * 176.04119 * 1 2 3 32 32 H 1.08998 * 109.47453 * 183.94841 * 3 2 1 33 33 H 1.08997 * 109.47233 * 303.95262 * 3 2 1 34 34 H 1.09006 * 109.46588 * 63.95100 * 3 2 1 35 35 H 1.09000 * 109.46335 * 306.04870 * 4 2 1 36 36 H 1.08996 * 109.47294 * 186.04711 * 4 2 1 37 37 H 1.08996 * 109.47229 * 59.99941 * 5 4 2 38 38 H 1.09006 * 109.47267 * 300.00102 * 5 4 2 39 39 H 1.09000 * 109.46518 * 60.00091 * 6 5 4 40 40 H 1.08996 * 109.47096 * 299.99940 * 6 5 4 41 41 H 0.97001 * 119.99816 * 359.97438 * 9 7 6 42 42 H 1.09011 * 109.47031 * 66.88677 * 10 9 7 43 43 H 1.09006 * 109.47323 * 306.89036 * 10 9 7 44 44 H 1.09008 * 110.72275 * 85.79020 * 13 11 10 45 45 H 1.08995 * 110.87695 * 322.58158 * 13 11 10 46 46 H 1.09003 * 110.30967 * 263.04168 * 14 13 11 47 47 H 1.09005 * 110.38991 * 140.91656 * 14 13 11 48 48 H 1.08992 * 109.92292 * 241.87292 * 15 14 13 49 49 H 1.09005 * 110.07896 * 120.66329 * 15 14 13 50 50 H 1.08993 * 109.47407 * 303.68322 * 17 16 15 51 51 H 1.09007 * 109.47231 * 183.67806 * 17 16 15 52 52 H 0.96999 * 119.99644 * 359.97438 * 20 18 17 53 53 H 0.97001 * 119.99757 * 179.97438 * 24 23 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 7 1.4690 0.0000 0.0000 3 6 1.9955 1.3714 0.0000 4 6 1.9954 -0.7661 1.1377 5 6 1.6314 -2.2426 0.9703 6 6 2.1792 -3.0404 2.1555 7 6 1.8212 -4.4949 1.9904 8 8 1.1897 -4.8577 1.0205 9 7 2.2019 -5.3925 2.9210 10 6 1.8534 -6.8063 2.7608 11 6 2.2482 -7.5751 4.0233 12 1 3.3114 -7.4550 4.2315 13 6 1.8839 -9.0748 3.8867 14 6 1.7483 -9.5329 5.3570 15 6 1.4782 -8.2448 6.1564 16 7 1.4336 -7.1317 5.1834 17 6 1.9777 -5.8990 5.7685 18 6 3.4355 -6.0984 6.0939 19 8 3.9373 -7.1969 5.9815 20 7 4.1818 -5.0560 6.5099 21 6 5.5080 -5.2375 6.8065 22 1 5.9545 -6.2159 6.7072 23 6 6.2788 -4.1617 7.2299 24 7 5.7353 -2.9714 7.3512 25 14 8.0876 -4.4074 7.6266 26 1 8.4529 -5.8304 7.4103 27 1 8.9102 -3.5454 6.7404 28 1 8.3376 -4.0416 9.0440 29 1 -0.3634 0.4512 0.9232 30 1 -0.3633 0.5739 -0.8525 31 1 -0.3633 -1.0252 -0.0709 32 1 3.0828 1.3432 -0.0708 33 1 1.5899 1.9163 -0.8524 34 1 1.7043 1.8723 0.9234 35 1 1.5610 -0.3873 2.0628 36 1 3.0797 -0.6612 1.1757 37 1 2.0657 -2.6214 0.0452 38 1 0.5471 -2.3475 0.9323 39 1 1.7444 -2.6615 3.0804 40 1 3.2634 -2.9356 2.1940 41 1 2.7066 -5.1022 3.6968 42 1 2.3869 -7.2171 1.9035 43 1 0.7795 -6.8998 2.5994 44 1 2.6821 -9.6215 3.3844 45 1 0.9402 -9.1984 3.3556 46 1 2.6734 -10.0005 5.6944 47 1 0.9140 -10.2263 5.4634 48 1 2.2808 -8.0781 6.8746 49 1 0.5237 -8.3209 6.6774 50 1 1.4315 -5.6577 6.6803 51 1 1.8732 -5.0813 5.0552 52 1 3.7806 -4.1774 6.5995 53 1 6.2733 -2.2205 7.6471 RHF calculation, no. of doubly occupied orbitals= 66 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=GENORG IOFR=1.4345 ALPHA=0.00 BETA=0.00 GAMMA=38.93 & DIELEC=2.06 FACARB=0.00 FEHALO=0.00 DEV ZINC001481053900.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sat Apr 11 2020 06:12:37 Heat of formation + Delta-G solvation = -60.616473 kcal Electronic energy + Delta-G solvation = -31001.416942 eV Core-core repulsion = 26908.118907 eV Total energy + Delta-G solvation = -4093.298035 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.226 amu Computer time = 0.81 seconds Orbital eigenvalues (eV) -40.17939 -39.21226 -37.75484 -37.23151 -34.47279 -34.07370 -33.25353 -32.01979 -31.29455 -29.92479 -27.81275 -27.52136 -26.72360 -24.92394 -24.16251 -22.92651 -21.03139 -20.78478 -20.51493 -19.87967 -19.19014 -18.00250 -17.06269 -16.41724 -16.09356 -15.80137 -15.65334 -15.26448 -15.12607 -14.86693 -14.69314 -14.57202 -14.32355 -14.13123 -13.87094 -13.62457 -13.36365 -12.88372 -12.59909 -12.55141 -12.29659 -12.11549 -11.96791 -11.86305 -11.73956 -11.58668 -11.52163 -11.32286 -11.24815 -11.17009 -11.00304 -10.83401 -10.72324 -10.64134 -10.47700 -10.38596 -10.25316 -9.62996 -9.53202 -9.29816 -8.78805 -8.54488 -8.13650 -7.63890 -6.59214 -4.00758 2.84794 3.03288 3.17046 3.23013 3.34225 3.63881 3.83276 4.03409 4.28278 4.73928 4.81394 4.87171 4.94748 4.97450 5.03636 5.04359 5.09741 5.18242 5.23389 5.29065 5.34610 5.45094 5.47869 5.56093 5.58796 5.63677 5.66700 5.68079 5.71949 5.78400 5.81916 5.88158 5.96269 5.99370 6.06901 6.11124 6.12316 6.27467 6.28281 6.33893 6.55176 6.60430 6.69879 6.83597 6.85481 7.18695 7.28799 7.38747 7.68819 7.86478 8.39030 8.41637 8.98683 9.32462 9.81669 10.56820 Molecular weight = 340.23amu Principal moments of inertia in cm(-1) A = 0.007064 B = 0.003591 C = 0.002520 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3962.724336 B = 7794.911488 C =11106.595051 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.020 3.980 2 N -0.548 5.548 3 C 0.024 3.976 4 C 0.052 3.948 5 C -0.097 4.097 6 C -0.144 4.144 7 C 0.513 3.487 8 O -0.549 6.549 9 N -0.727 5.727 10 C 0.135 3.865 11 C 0.029 3.971 12 H 0.108 0.892 13 C -0.107 4.107 14 C -0.118 4.118 15 C 0.035 3.965 16 N -0.489 5.489 17 C 0.022 3.978 18 C 0.398 3.602 19 O -0.586 6.586 20 N -0.552 5.552 21 C -0.304 4.304 22 H 0.104 0.896 23 C 0.027 3.973 24 N -0.895 5.895 25 Si 0.928 3.072 26 H -0.268 1.268 27 H -0.280 1.280 28 H -0.280 1.280 29 H 0.025 0.975 30 H 0.065 0.935 31 H 0.074 0.926 32 H 0.068 0.932 33 H 0.066 0.934 34 H 0.025 0.975 35 H 0.036 0.964 36 H 0.077 0.923 37 H 0.077 0.923 38 H 0.069 0.931 39 H 0.093 0.907 40 H 0.096 0.904 41 H 0.403 0.597 42 H 0.064 0.936 43 H 0.073 0.927 44 H 0.068 0.932 45 H 0.068 0.932 46 H 0.067 0.933 47 H 0.061 0.939 48 H 0.070 0.930 49 H 0.064 0.936 50 H 0.091 0.909 51 H 0.088 0.912 52 H 0.392 0.608 53 H 0.273 0.727 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -9.031 2.621 -8.183 12.466 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 -0.128 4.128 2 N -0.272 5.272 3 C -0.124 4.124 4 C -0.076 4.076 5 C -0.135 4.135 6 C -0.185 4.185 7 C 0.300 3.700 8 O -0.427 6.427 9 N -0.381 5.381 10 C 0.011 3.989 11 C -0.079 4.079 12 H 0.126 0.874 13 C -0.146 4.146 14 C -0.156 4.156 15 C -0.093 4.093 16 N -0.212 5.212 17 C -0.111 4.111 18 C 0.183 3.817 19 O -0.474 6.474 20 N -0.187 5.187 21 C -0.434 4.434 22 H 0.122 0.878 23 C -0.176 4.176 24 N -0.535 5.535 25 Si 0.755 3.245 26 H -0.192 1.192 27 H -0.206 1.206 28 H -0.206 1.206 29 H 0.043 0.957 30 H 0.084 0.916 31 H 0.092 0.908 32 H 0.087 0.913 33 H 0.085 0.915 34 H 0.043 0.957 35 H 0.054 0.946 36 H 0.095 0.905 37 H 0.096 0.904 38 H 0.088 0.912 39 H 0.111 0.889 40 H 0.114 0.886 41 H 0.241 0.759 42 H 0.082 0.918 43 H 0.091 0.909 44 H 0.087 0.913 45 H 0.086 0.914 46 H 0.086 0.914 47 H 0.080 0.920 48 H 0.089 0.911 49 H 0.082 0.918 50 H 0.109 0.891 51 H 0.106 0.894 52 H 0.226 0.774 53 H 0.083 0.917 Dipole moment (debyes) X Y Z Total from point charges -9.446 1.717 -9.465 13.482 hybrid contribution 1.534 1.042 1.894 2.651 sum -7.912 2.758 -7.570 11.293 Atomic orbital electron populations 1.22455 0.87422 1.02714 1.00233 1.61954 1.08108 1.13683 1.43477 1.22383 1.00874 0.88819 1.00364 1.22207 1.00420 0.93836 0.91143 1.21290 1.01800 0.92517 0.97941 1.21662 1.03638 0.92058 1.01120 1.20643 0.78930 0.88159 0.82317 1.90668 1.40320 1.81218 1.30482 1.46419 1.57409 1.08569 1.25742 1.21351 1.00915 0.79784 0.96861 1.23495 1.00579 0.94002 0.89857 0.87439 1.22295 1.01134 0.94239 0.96911 1.22213 1.01295 0.97218 0.94922 1.22830 1.00918 0.89949 0.95603 1.65098 1.47140 1.02733 1.06263 1.22373 0.93085 0.94745 1.00903 1.20965 0.89024 0.85965 0.85712 1.90463 1.73653 1.24628 1.58623 1.42098 1.10142 1.09970 1.56518 1.19763 0.84661 0.97110 1.41828 0.87806 1.25287 1.00643 0.94693 0.96938 1.69607 1.37398 1.00093 1.46391 0.85819 0.81820 0.78775 0.78086 1.19202 1.20601 1.20634 0.95679 0.91612 0.90760 0.91280 0.91491 0.95676 0.94565 0.90493 0.90398 0.91223 0.88865 0.88573 0.75918 0.91821 0.90890 0.91350 0.91373 0.91419 0.92033 0.91125 0.91781 0.89058 0.89444 0.77418 0.91686 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 0.19 9.32 60.06 0.56 0.75 16 2 N -0.55 -5.77 5.02 -251.26 -1.26 -7.03 16 3 C 0.02 0.21 9.57 60.06 0.57 0.78 16 4 C 0.05 0.54 4.96 -3.82 -0.02 0.53 16 5 C -0.10 -1.14 4.43 -26.73 -0.12 -1.26 16 6 C -0.14 -1.73 5.70 -27.88 -0.16 -1.89 16 7 C 0.51 7.73 7.83 -10.98 -0.09 7.65 16 8 O -0.55 -9.88 15.96 5.55 0.09 -9.80 16 9 N -0.73 -10.89 4.68 -60.29 -0.28 -11.17 16 10 C 0.13 2.04 5.41 -4.05 -0.02 2.01 16 11 C 0.03 0.46 2.18 -65.79 -0.14 0.31 16 12 H 0.11 2.07 5.05 -51.93 -0.26 1.81 16 13 C -0.11 -1.47 6.50 -24.87 -0.16 -1.63 16 14 C -0.12 -1.66 6.93 -25.38 -0.18 -1.83 16 15 C 0.03 0.55 6.01 -2.75 -0.02 0.53 16 16 N -0.49 -7.76 5.23 -224.07 -1.17 -8.94 16 17 C 0.02 0.36 5.32 -4.98 -0.03 0.33 16 18 C 0.40 8.21 6.34 -10.98 -0.07 8.14 16 19 O -0.59 -13.64 11.37 5.55 0.06 -13.58 16 20 N -0.55 -12.48 5.29 -10.96 -0.06 -12.54 16 21 C -0.30 -7.76 9.68 -14.93 -0.14 -7.91 16 22 H 0.10 2.82 7.16 -52.49 -0.38 2.45 16 23 C 0.03 0.68 5.50 -17.47 -0.10 0.58 16 24 N -0.89 -22.55 13.05 55.50 0.72 -21.82 16 25 Si 0.93 19.84 29.55 -169.99 -5.02 14.82 16 26 H -0.27 -5.77 7.11 56.52 0.40 -5.37 16 27 H -0.28 -5.92 7.11 56.52 0.40 -5.52 16 28 H -0.28 -5.96 7.11 56.52 0.40 -5.55 16 29 H 0.02 0.22 8.14 -51.93 -0.42 -0.20 16 30 H 0.07 0.53 8.12 -51.93 -0.42 0.11 16 31 H 0.07 0.72 6.47 -51.93 -0.34 0.38 16 32 H 0.07 0.57 8.12 -51.93 -0.42 0.15 16 33 H 0.07 0.51 8.12 -51.93 -0.42 0.09 16 34 H 0.02 0.21 8.14 -51.93 -0.42 -0.21 16 35 H 0.04 0.37 8.12 -51.93 -0.42 -0.05 16 36 H 0.08 0.79 8.06 -51.93 -0.42 0.37 16 37 H 0.08 1.03 8.10 -51.93 -0.42 0.61 16 38 H 0.07 0.86 6.51 -51.93 -0.34 0.52 16 39 H 0.09 0.99 8.14 -51.93 -0.42 0.57 16 40 H 0.10 1.09 8.14 -51.93 -0.42 0.67 16 41 H 0.40 6.12 5.48 -40.82 -0.22 5.90 16 42 H 0.06 0.95 8.14 -51.92 -0.42 0.52 16 43 H 0.07 1.13 8.11 -51.93 -0.42 0.71 16 44 H 0.07 0.89 8.14 -51.92 -0.42 0.46 16 45 H 0.07 0.85 8.06 -51.93 -0.42 0.43 16 46 H 0.07 1.01 8.14 -51.93 -0.42 0.58 16 47 H 0.06 0.73 8.14 -51.93 -0.42 0.31 16 48 H 0.07 1.31 5.79 -51.93 -0.30 1.01 16 49 H 0.06 0.90 8.14 -51.93 -0.42 0.48 16 50 H 0.09 1.40 8.14 -51.93 -0.42 0.97 16 51 H 0.09 1.31 5.30 -51.93 -0.28 1.03 16 52 H 0.39 8.52 7.90 -40.82 -0.32 8.20 16 53 H 0.27 6.55 8.31 -40.82 -0.34 6.21 16 LS Contribution 411.34 15.07 6.20 6.20 Total: -1.00 -29.16 411.34 -9.99 -39.14 By element: Atomic # 1 Polarization: 26.79 SS G_CDS: -9.16 Total: 17.63 kcal Atomic # 6 Polarization: 7.19 SS G_CDS: -0.10 Total: 7.08 kcal Atomic # 7 Polarization: -59.45 SS G_CDS: -2.05 Total: -61.50 kcal Atomic # 8 Polarization: -23.53 SS G_CDS: 0.15 Total: -23.38 kcal Atomic # 14 Polarization: 19.84 SS G_CDS: -5.02 Total: 14.82 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -29.16 -9.99 -39.14 kcal The number of atoms in the molecule is 53 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. ZINC001481053900.mol2 53 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 -21.473 kcal (2) G-P(sol) polarization free energy of solvation -29.157 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -50.629 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.987 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.144 kcal (6) G-S(sol) free energy of system = (1) + (5) -60.616 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.81 seconds