Wall clock time and date at job start Sat Apr 11 2020 06:11:22 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 O 1.42895 * 1 3 3 C 1.42903 * 113.99791 * 2 1 4 4 C 1.53000 * 109.47219 * 179.97438 * 3 2 1 5 5 O 1.42902 * 109.46779 * 65.00281 * 4 3 2 6 6 C 1.42899 * 113.99844 * 179.97438 * 5 4 3 7 7 N 1.46504 * 109.47007 * 80.00140 * 6 5 4 8 8 C 1.46922 * 124.37577 * 105.00193 * 7 6 5 9 9 C 1.54800 * 105.54125 * 163.24749 * 8 7 6 10 10 C 1.53225 * 101.38817 * 24.18327 * 9 8 7 11 11 C 1.53699 * 111.53795 * 214.18083 * 10 9 8 12 12 C 1.54579 * 102.86298 * 205.86200 * 11 10 9 13 13 N 1.47559 * 107.28942 * 20.97626 * 12 11 10 14 14 C 1.46901 * 110.99998 * 123.19934 * 13 12 11 15 15 C 1.52996 * 109.47195 * 69.87188 * 14 13 12 16 16 C 1.52997 * 109.46947 * 179.97438 * 15 14 13 17 17 C 1.50706 * 109.47238 * 179.97438 * 16 15 14 18 18 H 1.07999 * 119.99515 * 0.02562 * 17 16 15 19 19 C 1.37870 * 120.00176 * 180.02562 * 17 16 15 20 20 N 1.31520 * 119.99883 * 0.02562 * 19 17 16 21 21 Si 1.86800 * 120.00043 * 180.02562 * 19 17 16 22 22 H 1.48495 * 109.47216 * 359.97438 * 21 19 17 23 23 H 1.48500 * 109.47389 * 119.99848 * 21 19 17 24 24 H 1.48501 * 109.47057 * 239.99829 * 21 19 17 25 25 C 1.48118 * 108.65157 * 0.87115 * 13 12 11 26 26 C 1.34889 * 124.37714 * 285.00052 * 7 6 5 27 27 O 1.21277 * 125.21946 * 1.26481 * 26 7 6 28 28 H 1.09011 * 109.47290 * 60.00056 * 1 2 3 29 29 H 1.09008 * 109.47235 * 179.97438 * 1 2 3 30 30 H 1.08992 * 109.47845 * 299.99561 * 1 2 3 31 31 H 1.09009 * 109.46698 * 60.00032 * 3 2 1 32 32 H 1.08993 * 109.47791 * 300.00262 * 3 2 1 33 33 H 1.08996 * 109.47145 * 305.00695 * 4 3 2 34 34 H 1.08994 * 109.47312 * 185.00453 * 4 3 2 35 35 H 1.08996 * 109.47410 * 320.00189 * 6 5 4 36 36 H 1.08999 * 109.47576 * 200.00238 * 6 5 4 37 37 H 1.08998 * 110.23873 * 44.22869 * 8 7 6 38 38 H 1.09004 * 110.23579 * 282.26100 * 8 7 6 39 39 H 1.08996 * 111.04350 * 266.15487 * 9 8 7 40 40 H 1.09002 * 111.07606 * 142.21800 * 9 8 7 41 41 H 1.09001 * 110.73093 * 87.52113 * 11 10 9 42 42 H 1.08992 * 110.73871 * 324.21299 * 11 10 9 43 43 H 1.08993 * 109.88329 * 261.55069 * 12 11 10 44 44 H 1.08997 * 110.00001 * 140.46540 * 12 11 10 45 45 H 1.08992 * 109.46788 * 309.86819 * 14 13 12 46 46 H 1.08996 * 109.46661 * 189.87122 * 14 13 12 47 47 H 1.09001 * 109.47372 * 60.00105 * 15 14 13 48 48 H 1.09004 * 109.47108 * 299.99849 * 15 14 13 49 49 H 1.09001 * 109.46832 * 59.99979 * 16 15 14 50 50 H 1.09000 * 109.47611 * 300.00276 * 16 15 14 51 51 H 0.97004 * 119.99507 * 180.02562 * 20 19 17 52 52 H 1.08998 * 110.39378 * 96.21126 * 25 13 12 53 53 H 1.08994 * 110.40104 * 218.61978 * 25 13 12 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 1.4289 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 6 3.5354 1.1848 0.0006 5 8 3.9657 0.5794 -1.2202 6 6 5.3821 0.4200 -1.3221 7 7 5.7960 -0.7641 -0.5651 8 6 6.1857 -2.0433 -1.1737 9 6 6.9340 -2.8200 -0.0632 10 6 6.3556 -2.1740 1.2001 11 6 7.4024 -2.0934 2.3226 12 6 6.5349 -2.0805 3.6019 13 7 5.2204 -2.6488 3.2462 14 6 4.8989 -3.8037 4.0952 15 6 4.6214 -3.3262 5.5220 16 6 4.2860 -4.5290 6.4061 17 6 4.0132 -4.0589 7.8117 18 1 4.0727 -3.0073 8.0504 19 6 3.6877 -4.9712 8.7928 20 7 3.6158 -6.2518 8.5022 21 14 3.3489 -4.3883 10.5349 22 1 3.4948 -2.9119 10.6001 23 1 1.9667 -4.7672 10.9237 24 1 4.3165 -5.0224 11.4660 25 6 5.2412 -3.0312 1.8154 26 6 5.8685 -0.8208 0.7806 27 8 5.5827 0.0846 1.5352 28 1 -0.3634 0.5139 -0.8901 29 1 -0.3634 -1.0277 -0.0005 30 1 -0.3634 0.5137 0.8899 31 1 1.6884 1.8464 0.8901 32 1 1.6885 1.8465 -0.8899 33 1 3.8507 0.5686 0.8426 34 1 3.9783 2.1766 0.0903 35 1 5.8772 1.3020 -0.9162 36 1 5.6596 0.2972 -2.3690 37 1 6.8460 -1.8709 -2.0235 38 1 5.3006 -2.5959 -1.4891 39 1 8.0098 -2.6570 -0.1286 40 1 6.6984 -3.8835 -0.1018 41 1 7.9847 -1.1755 2.2420 42 1 8.0536 -2.9673 2.3066 43 1 6.4126 -1.0572 3.9566 44 1 7.0037 -2.6875 4.3764 45 1 5.7408 -4.4959 4.1009 46 1 4.0162 -4.3085 3.7028 47 1 3.7794 -2.6340 5.5163 48 1 5.5042 -2.8214 5.9144 49 1 5.1277 -5.2216 6.4119 50 1 3.4031 -5.0336 6.0136 51 1 3.3864 -6.8936 9.1925 52 1 5.4742 -4.0906 1.7087 53 1 4.2839 -2.8028 1.3471 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 ZINC001274042614.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 06:11:22 Heat of formation + Delta-G solvation = -116.049143 kcal Electronic energy + Delta-G solvation = -31127.359880 eV Core-core repulsion = 26999.365352 eV Total energy + Delta-G solvation = -4127.994527 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 0.70 seconds Orbital eigenvalues (eV) -41.36435 -38.81228 -37.93202 -37.06841 -36.47097 -34.25839 -32.73251 -31.25026 -30.29344 -29.63734 -28.24702 -26.65915 -26.32012 -25.87841 -23.77684 -22.84877 -22.81454 -21.37185 -20.95443 -19.73395 -19.04377 -17.63575 -17.19904 -16.61140 -16.49172 -16.24276 -15.80989 -15.72442 -15.25370 -15.07193 -14.76410 -14.41768 -14.35929 -14.19173 -13.88413 -13.72905 -13.36046 -13.12730 -12.93564 -12.70432 -12.63980 -12.40478 -12.17937 -11.98433 -11.88615 -11.63812 -11.55998 -11.38996 -11.33514 -11.01526 -10.96243 -10.84112 -10.64384 -10.45395 -10.39553 -10.09872 -9.80490 -9.64321 -9.56346 -9.24507 -9.05163 -8.96900 -8.28230 -7.92367 -5.93685 -3.94950 2.39348 2.73908 3.35610 3.42750 3.48193 3.51531 3.65472 3.96421 4.13372 4.25161 4.42737 4.53261 4.69332 4.72128 4.83604 4.89227 4.94679 5.03832 5.07347 5.16470 5.20597 5.21195 5.26864 5.34124 5.37552 5.42255 5.45667 5.48789 5.56522 5.60065 5.64778 5.73447 5.82607 5.84678 5.86604 5.94683 6.11204 6.24250 6.35818 6.41973 6.81088 6.81296 6.85244 6.88740 7.04362 7.21016 7.35798 7.51428 7.76948 7.92099 8.05128 8.07837 8.52071 9.12647 9.68747 11.17907 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.011329 B = 0.002606 C = 0.002276 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2471.034707 B =10742.831001 C =12301.405839 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.032 3.968 2 O -0.380 6.380 3 C 0.065 3.935 4 C 0.046 3.954 5 O -0.387 6.387 6 C 0.291 3.709 7 N -0.638 5.638 8 C 0.106 3.894 9 C -0.121 4.121 10 C -0.108 4.108 11 C -0.116 4.116 12 C 0.047 3.953 13 N -0.523 5.523 14 C 0.052 3.948 15 C -0.103 4.103 16 C 0.022 3.978 17 C -0.515 4.515 18 H 0.056 0.944 19 C 0.055 3.945 20 N -0.898 5.898 21 Si 0.891 3.109 22 H -0.272 1.272 23 H -0.284 1.284 24 H -0.285 1.285 25 C 0.070 3.930 26 C 0.543 3.457 27 O -0.502 6.502 28 H 0.038 0.962 29 H 0.086 0.914 30 H 0.041 0.959 31 H 0.063 0.937 32 H 0.051 0.949 33 H 0.093 0.907 34 H 0.062 0.938 35 H 0.069 0.931 36 H 0.114 0.886 37 H 0.078 0.922 38 H 0.074 0.926 39 H 0.085 0.915 40 H 0.094 0.906 41 H 0.075 0.925 42 H 0.076 0.924 43 H 0.080 0.920 44 H 0.061 0.939 45 H 0.029 0.971 46 H 0.067 0.933 47 H 0.055 0.945 48 H 0.046 0.954 49 H 0.013 0.987 50 H 0.015 0.985 51 H 0.259 0.741 52 H 0.057 0.943 53 H 0.079 0.921 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 5.388 12.134 -26.503 29.643 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 -0.065 4.065 2 O -0.299 6.299 3 C -0.012 4.012 4 C -0.030 4.030 5 O -0.301 6.301 6 C 0.131 3.869 7 N -0.383 5.383 8 C -0.017 4.017 9 C -0.159 4.159 10 C -0.112 4.112 11 C -0.155 4.155 12 C -0.080 4.080 13 N -0.247 5.247 14 C -0.075 4.075 15 C -0.141 4.141 16 C -0.016 4.016 17 C -0.553 4.553 18 H 0.074 0.926 19 C -0.146 4.146 20 N -0.538 5.538 21 Si 0.719 3.281 22 H -0.197 1.197 23 H -0.211 1.211 24 H -0.211 1.211 25 C -0.059 4.059 26 C 0.330 3.670 27 O -0.376 6.376 28 H 0.056 0.944 29 H 0.105 0.895 30 H 0.059 0.941 31 H 0.081 0.919 32 H 0.070 0.930 33 H 0.111 0.889 34 H 0.080 0.920 35 H 0.087 0.913 36 H 0.132 0.868 37 H 0.096 0.904 38 H 0.092 0.908 39 H 0.104 0.896 40 H 0.112 0.888 41 H 0.093 0.907 42 H 0.095 0.905 43 H 0.098 0.902 44 H 0.079 0.921 45 H 0.048 0.952 46 H 0.086 0.914 47 H 0.074 0.926 48 H 0.065 0.935 49 H 0.031 0.969 50 H 0.033 0.967 51 H 0.068 0.932 52 H 0.075 0.925 53 H 0.097 0.903 Dipole moment (debyes) X Y Z Total from point charges 4.698 12.730 -26.129 29.442 hybrid contribution 0.297 -0.142 0.938 0.994 sum 4.995 12.588 -25.191 28.601 Atomic orbital electron populations 1.22739 0.81218 1.02905 0.99653 1.87994 1.19438 1.27145 1.95303 1.22554 0.92672 0.85547 1.00395 1.23051 0.92991 0.98301 0.88626 1.88006 1.22419 1.81168 1.38522 1.22427 0.81400 0.86537 0.96497 1.49342 1.67642 1.13987 1.07296 1.22140 0.99335 0.83943 0.96307 1.22521 1.00463 1.00546 0.92402 1.21544 0.98276 0.94763 0.96591 1.22546 0.96685 1.02524 0.93735 1.22873 0.87852 1.01476 0.95829 1.63717 1.29016 1.30566 1.01393 1.22475 0.99536 0.90358 0.95163 1.21617 1.00565 1.00314 0.91586 1.19080 0.96568 0.92349 0.93584 1.21313 1.46267 0.93509 0.94244 0.92623 1.25027 0.95695 0.94919 0.98941 1.69984 1.49371 1.01043 1.33353 0.86552 0.77794 0.78940 0.84835 1.19707 1.21056 1.21101 1.22729 0.97121 0.96455 0.89563 1.20147 0.76099 0.88903 0.81805 1.90656 1.48182 1.42336 1.56406 0.94372 0.89546 0.94066 0.91860 0.93049 0.88938 0.91998 0.91334 0.86847 0.90355 0.90796 0.89635 0.88793 0.90675 0.90493 0.90195 0.92091 0.95225 0.91404 0.92631 0.93538 0.96904 0.96661 0.93177 0.92461 0.90265 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 0.03 0.31 11.01 101.05 1.11 1.42 16 2 O -0.38 -5.16 10.67 -40.08 -0.43 -5.59 16 3 C 0.07 0.73 6.32 37.16 0.23 0.97 16 4 C 0.05 0.56 5.75 37.16 0.21 0.77 16 5 O -0.39 -4.56 10.54 -40.08 -0.42 -4.98 16 6 C 0.29 2.58 7.07 59.85 0.42 3.00 16 7 N -0.64 -6.36 3.21 -178.13 -0.57 -6.93 16 8 C 0.11 0.73 7.34 -2.86 -0.02 0.71 16 9 C -0.12 -0.86 6.26 -25.67 -0.16 -1.02 16 10 C -0.11 -1.20 0.67 -155.37 -0.10 -1.30 16 11 C -0.12 -1.33 5.79 -25.54 -0.15 -1.48 16 12 C 0.05 0.71 5.96 -2.63 -0.02 0.70 16 13 N -0.52 -8.66 5.16 -231.70 -1.20 -9.85 16 14 C 0.05 0.96 4.53 -3.83 -0.02 0.94 16 15 C -0.10 -2.28 5.18 -26.73 -0.14 -2.41 16 16 C 0.02 0.58 4.97 -27.88 -0.14 0.44 16 17 C -0.51 -15.13 9.11 -34.44 -0.31 -15.45 16 18 H 0.06 1.61 7.74 -52.49 -0.41 1.20 16 19 C 0.05 1.61 5.46 -17.82 -0.10 1.52 16 20 N -0.90 -27.60 13.29 55.43 0.74 -26.87 16 21 Si 0.89 22.28 29.54 -169.99 -5.02 17.26 16 22 H -0.27 -6.69 7.11 56.52 0.40 -6.29 16 23 H -0.28 -7.02 7.11 56.52 0.40 -6.62 16 24 H -0.28 -7.01 7.11 56.52 0.40 -6.61 16 25 C 0.07 0.93 5.69 -2.91 -0.02 0.92 16 26 C 0.54 6.99 6.23 -11.36 -0.07 6.92 16 27 O -0.50 -8.10 14.43 5.56 0.08 -8.02 16 28 H 0.04 0.31 8.14 -51.92 -0.42 -0.11 16 29 H 0.09 0.78 8.14 -51.92 -0.42 0.36 16 30 H 0.04 0.37 8.14 -51.93 -0.42 -0.05 16 31 H 0.06 0.63 8.14 -51.92 -0.42 0.21 16 32 H 0.05 0.50 8.14 -51.93 -0.42 0.07 16 33 H 0.09 1.42 4.73 -51.93 -0.25 1.18 16 34 H 0.06 0.64 8.09 -51.93 -0.42 0.22 16 35 H 0.07 0.58 7.93 -51.93 -0.41 0.17 16 36 H 0.11 0.64 8.10 -51.93 -0.42 0.22 16 37 H 0.08 0.34 8.14 -51.93 -0.42 -0.08 16 38 H 0.07 0.52 8.14 -51.93 -0.42 0.10 16 39 H 0.09 0.50 7.96 -51.93 -0.41 0.08 16 40 H 0.09 0.57 7.63 -51.93 -0.40 0.17 16 41 H 0.07 0.83 8.00 -51.93 -0.42 0.42 16 42 H 0.08 0.76 8.04 -51.93 -0.42 0.34 16 43 H 0.08 1.31 8.14 -51.93 -0.42 0.89 16 44 H 0.06 0.94 6.91 -51.93 -0.36 0.58 16 45 H 0.03 0.53 7.96 -51.93 -0.41 0.12 16 46 H 0.07 1.25 8.07 -51.93 -0.42 0.83 16 47 H 0.05 1.28 8.14 -51.93 -0.42 0.86 16 48 H 0.05 1.02 7.14 -51.93 -0.37 0.65 16 49 H 0.01 0.35 8.14 -51.93 -0.42 -0.07 16 50 H 0.02 0.43 8.14 -51.93 -0.42 0.00 16 51 H 0.26 7.47 8.31 -40.82 -0.34 7.13 16 52 H 0.06 0.69 7.40 -51.93 -0.38 0.30 16 53 H 0.08 1.15 8.01 -51.93 -0.42 0.74 16 LS Contribution 417.10 15.07 6.29 6.29 Total: -1.00 -35.58 417.10 -9.49 -45.07 By element: Atomic # 1 Polarization: 6.68 SS G_CDS: -9.70 Total: -3.01 kcal Atomic # 6 Polarization: -4.10 SS G_CDS: 0.74 Total: -3.36 kcal Atomic # 7 Polarization: -42.62 SS G_CDS: -1.03 Total: -43.65 kcal Atomic # 8 Polarization: -17.82 SS G_CDS: -0.77 Total: -18.59 kcal Atomic # 14 Polarization: 22.28 SS G_CDS: -5.02 Total: 17.26 kcal Total LS contribution 6.29 Total: 6.29 kcal Total: -35.58 -9.49 -45.07 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. ZINC001274042614.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 -70.977 kcal (2) G-P(sol) polarization free energy of solvation -35.580 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -106.557 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.492 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -45.072 kcal (6) G-S(sol) free energy of system = (1) + (5) -116.049 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.70 seconds