Wall clock time and date at job start Tue Mar 31 2020 21:46:12 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 C 1.52998 * 1 3 3 N 1.46501 * 109.46510 * 2 1 4 4 C 1.46500 * 120.00445 * 90.00309 * 3 2 1 5 5 C 1.50694 * 109.47517 * 89.99446 * 4 3 2 6 6 H 1.08002 * 120.00179 * 0.02562 * 5 4 3 7 7 C 1.37879 * 120.00472 * 180.02562 * 5 4 3 8 8 N 1.31514 * 119.99350 * 359.97438 * 7 5 4 9 9 Si 1.86798 * 120.00608 * 179.97438 * 7 5 4 10 10 H 1.48490 * 109.47339 * 179.97438 * 9 7 5 11 11 H 1.48493 * 109.47239 * 300.00306 * 9 7 5 12 12 H 1.48504 * 109.46636 * 59.99865 * 9 7 5 13 13 C 1.34777 * 119.99949 * 269.99484 * 3 2 1 14 14 O 1.21284 * 120.00180 * 180.02562 * 13 3 2 15 15 C 1.50701 * 120.00191 * 0.02562 * 13 3 2 16 16 N 1.46896 * 109.47304 * 179.97438 * 15 13 3 17 17 C 1.47703 * 110.99898 * 266.35001 * 16 15 13 18 18 C 1.52374 * 87.59645 * 222.18846 * 17 16 15 19 19 C 1.52641 * 121.98192 * 149.99049 * 18 17 16 20 20 C 1.54011 * 86.67721 * 102.61825 * 19 18 17 21 21 C 1.52637 * 121.97929 * 260.47484 * 18 17 16 22 22 C 1.47704 * 111.00055 * 170.00280 * 16 15 13 23 23 H 1.09003 * 113.52907 * 23.12891 * 22 16 15 24 24 C 1.52997 * 113.52911 * 252.49421 * 22 16 15 25 25 H 1.09003 * 109.82355 * 200.20666 * 24 22 16 26 26 C 1.54372 * 109.83458 * 79.31737 * 24 22 16 27 27 C 1.55455 * 102.18944 * 219.18263 * 26 24 22 28 28 C 1.54945 * 100.98666 * 34.03533 * 27 26 24 29 29 O 1.43243 * 109.83249 * 321.08590 * 24 22 16 30 30 H 1.08994 * 109.47380 * 299.99900 * 1 2 3 31 31 H 1.08996 * 109.47097 * 60.00813 * 1 2 3 32 32 H 1.09004 * 109.46532 * 179.97438 * 1 2 3 33 33 H 1.08994 * 109.47380 * 240.00100 * 2 1 3 34 34 H 1.08996 * 109.47430 * 119.99618 * 2 1 3 35 35 H 1.09005 * 109.46643 * 329.99978 * 4 3 2 36 36 H 1.08998 * 109.47481 * 209.99812 * 4 3 2 37 37 H 0.97005 * 119.99661 * 179.97438 * 8 7 5 38 38 H 1.09003 * 109.47026 * 300.00310 * 15 13 3 39 39 H 1.09000 * 109.46801 * 59.99203 * 15 13 3 40 40 H 1.09003 * 113.53370 * 336.86507 * 17 16 15 41 41 H 1.08996 * 113.53217 * 107.50467 * 17 16 15 42 42 H 1.08997 * 113.67813 * 217.05716 * 19 18 17 43 43 H 1.09001 * 113.67809 * 348.17247 * 19 18 17 44 44 H 1.08998 * 113.56354 * 269.89582 * 20 19 18 45 45 H 1.08998 * 113.63513 * 139.15183 * 20 19 18 46 46 H 1.09001 * 113.68071 * 11.82409 * 21 18 17 47 47 H 1.08995 * 113.68325 * 142.93655 * 21 18 17 48 48 H 1.09000 * 110.85051 * 337.31809 * 26 24 22 49 49 H 1.09004 * 110.85300 * 100.93735 * 26 24 22 50 50 H 1.08999 * 111.05692 * 276.12550 * 27 26 24 51 51 H 1.08994 * 111.15011 * 151.99200 * 27 26 24 52 52 H 1.09000 * 110.31315 * 204.69481 * 28 27 26 53 53 H 1.09001 * 110.39293 * 82.56753 * 28 27 26 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 1.5300 0.0000 0.0000 3 7 2.0182 1.3813 0.0000 4 6 2.2624 2.0720 1.2687 5 6 3.6856 1.8353 1.7037 6 1 4.3428 1.2312 1.0958 7 6 4.1489 2.3900 2.8779 8 7 3.3488 3.1261 3.6179 9 14 5.9129 2.0961 3.4176 10 1 6.1604 2.7963 4.7035 11 1 6.1401 0.6394 3.5949 12 1 6.8408 2.6194 2.3829 13 6 2.2428 2.0166 -1.1672 14 8 2.6474 3.1600 -1.1673 15 6 1.9913 1.3063 -2.4723 16 7 2.3090 2.2065 -3.5889 17 6 1.1038 2.9265 -4.0477 18 6 1.5733 2.6719 -5.4748 19 6 0.5916 2.5185 -6.6336 20 6 0.9640 3.9615 -7.0223 21 6 2.2999 3.7388 -6.2893 22 6 2.3050 1.4780 -4.8738 23 1 1.7081 0.5661 -4.8551 24 6 3.7025 1.2610 -5.4573 25 1 3.6296 1.0577 -6.5257 26 6 4.3896 0.0765 -4.7445 27 6 5.8558 0.5767 -4.6158 28 6 5.6325 2.0959 -4.4091 29 8 4.5069 2.4259 -5.2383 30 1 -0.3634 0.5138 0.8899 31 1 -0.3633 0.5137 -0.8900 32 1 -0.3632 -1.0277 -0.0005 33 1 1.8933 -0.5138 -0.8899 34 1 1.8934 -0.5137 0.8900 35 1 1.5816 1.6878 2.0284 36 1 2.0953 3.1412 1.1383 37 1 3.6747 3.5161 4.4442 38 1 2.6212 0.4187 -2.5302 39 1 0.9433 1.0124 -2.5299 40 1 0.1721 2.4183 -3.7990 41 1 1.0963 3.9814 -3.7737 42 1 0.8961 1.7746 -7.3697 43 1 -0.4450 2.4041 -6.3169 44 1 0.3309 4.7158 -6.5550 45 1 1.0756 4.1098 -8.0964 46 1 2.6233 4.5959 -5.6985 47 1 3.0885 3.3407 -6.9278 48 1 3.9500 -0.0926 -3.7615 49 1 4.3382 -0.8258 -5.3540 50 1 6.4174 0.3830 -5.5297 51 1 6.3490 0.1310 -3.7520 52 1 6.5129 2.6545 -4.7269 53 1 5.4076 2.3081 -3.3639 RHF calculation, no. of doubly occupied orbitals= 65 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 ZINC000377778406.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 31 2020 21:46:12 Heat of formation + Delta-G solvation = -14.764462 kcal Electronic energy + Delta-G solvation = -31582.691649 eV Core-core repulsion = 27649.545207 eV Total energy + Delta-G solvation = -3933.146442 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.84 seconds Orbital eigenvalues (eV) -41.41691 -38.85756 -38.60120 -36.18290 -35.09911 -32.78281 -32.01034 -30.52781 -30.04066 -29.37326 -26.97129 -25.77568 -25.26951 -24.44414 -22.99127 -22.43134 -21.95636 -21.38466 -20.50250 -18.43772 -17.76646 -16.97738 -16.50733 -16.28124 -16.11181 -15.75301 -15.52553 -15.18087 -14.88135 -14.57197 -14.01259 -13.93856 -13.46947 -13.35082 -13.29949 -13.11421 -12.83145 -12.62921 -12.40324 -12.26498 -12.10707 -11.95257 -11.72801 -11.66267 -11.57939 -11.29266 -11.19268 -11.13155 -11.08925 -10.90356 -10.78024 -10.59027 -10.50060 -10.27715 -10.19865 -10.08713 -9.82346 -9.60192 -9.31074 -8.84881 -8.42563 -8.39492 -7.57778 -6.00364 -4.04734 3.33478 3.38228 3.40577 3.54304 3.68458 3.90964 4.15780 4.31598 4.46835 4.50172 4.55180 4.68027 4.81403 4.84906 4.90115 5.02341 5.15515 5.23860 5.27385 5.31105 5.31955 5.34942 5.36847 5.38895 5.48200 5.57965 5.63292 5.64620 5.67420 5.72687 5.76514 5.77029 5.81024 5.82950 5.94698 6.00495 6.02855 6.04215 6.23183 6.25941 6.28423 6.34709 6.41642 6.45030 6.47343 7.01720 7.18015 7.32712 7.50403 7.62987 7.96858 8.28792 8.51896 8.95781 9.24009 9.60372 11.07649 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.012407 B = 0.003653 C = 0.003269 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2256.200192 B = 7662.653762 C = 8563.677602 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.168 4.168 2 C 0.108 3.892 3 N -0.603 5.603 4 C 0.249 3.751 5 C -0.524 4.524 6 H 0.055 0.945 7 C 0.061 3.939 8 N -0.896 5.896 9 Si 0.897 3.103 10 H -0.286 1.286 11 H -0.278 1.278 12 H -0.276 1.276 13 C 0.509 3.491 14 O -0.517 6.517 15 C -0.003 4.003 16 N -0.417 5.417 17 C 0.027 3.973 18 C -0.097 4.097 19 C -0.127 4.127 20 C -0.144 4.144 21 C -0.090 4.090 22 C 0.020 3.980 23 H 0.081 0.919 24 C 0.105 3.895 25 H 0.078 0.922 26 C -0.152 4.152 27 C -0.155 4.155 28 C 0.054 3.946 29 O -0.352 6.352 30 H 0.061 0.939 31 H 0.047 0.953 32 H 0.058 0.942 33 H 0.059 0.941 34 H 0.081 0.919 35 H 0.030 0.970 36 H 0.042 0.958 37 H 0.263 0.737 38 H 0.091 0.909 39 H 0.063 0.937 40 H 0.065 0.935 41 H 0.089 0.911 42 H 0.081 0.919 43 H 0.065 0.935 44 H 0.077 0.923 45 H 0.063 0.937 46 H 0.072 0.928 47 H 0.087 0.913 48 H 0.076 0.924 49 H 0.075 0.925 50 H 0.072 0.928 51 H 0.079 0.921 52 H 0.077 0.923 53 H 0.069 0.931 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.664 -8.114 -21.277 23.244 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 -0.227 4.227 2 C -0.016 4.016 3 N -0.337 5.337 4 C 0.130 3.870 5 C -0.563 4.563 6 H 0.074 0.926 7 C -0.141 4.141 8 N -0.535 5.535 9 Si 0.724 3.276 10 H -0.212 1.212 11 H -0.203 1.203 12 H -0.202 1.202 13 C 0.294 3.706 14 O -0.392 6.392 15 C -0.135 4.135 16 N -0.139 5.139 17 C -0.102 4.102 18 C -0.098 4.098 19 C -0.165 4.165 20 C -0.182 4.182 21 C -0.127 4.127 22 C -0.090 4.090 23 H 0.098 0.902 24 C 0.046 3.954 25 H 0.096 0.904 26 C -0.189 4.189 27 C -0.193 4.193 28 C -0.022 4.022 29 O -0.271 6.271 30 H 0.080 0.920 31 H 0.067 0.933 32 H 0.077 0.923 33 H 0.078 0.922 34 H 0.100 0.900 35 H 0.047 0.953 36 H 0.060 0.940 37 H 0.073 0.927 38 H 0.109 0.891 39 H 0.081 0.919 40 H 0.083 0.917 41 H 0.108 0.892 42 H 0.099 0.901 43 H 0.084 0.916 44 H 0.096 0.904 45 H 0.082 0.918 46 H 0.091 0.909 47 H 0.105 0.895 48 H 0.094 0.906 49 H 0.094 0.906 50 H 0.091 0.909 51 H 0.098 0.902 52 H 0.095 0.905 53 H 0.087 0.913 Dipole moment (debyes) X Y Z Total from point charges -3.889 -6.815 -20.885 22.310 hybrid contribution 0.217 -1.196 0.604 1.358 sum -3.672 -8.011 -20.281 22.113 Atomic orbital electron populations 1.22222 0.96997 1.01246 1.02212 1.21357 0.93344 0.84574 1.02351 1.48269 1.64552 1.13097 1.07743 1.19203 0.96086 0.93566 0.78128 1.21400 0.96979 1.31804 1.06107 0.92642 1.24926 0.97743 0.94967 0.96437 1.69926 1.35693 1.33502 1.14353 0.86582 0.84990 0.78162 0.77827 1.21195 1.20326 1.20176 1.20026 0.79007 0.87149 0.84430 1.90680 1.44054 1.17699 1.86751 1.22815 1.00504 0.96882 0.93293 1.68884 1.30256 1.15659 0.99105 1.23538 0.92464 1.01895 0.92282 1.22391 0.97233 0.96702 0.93464 1.22728 0.98677 0.97576 0.97527 1.22907 0.98541 0.96642 1.00100 1.22354 0.95437 0.97794 0.97127 1.23731 0.96374 0.96583 0.92323 0.90151 1.22365 0.89798 0.85403 0.97816 0.90443 1.23202 0.95809 0.98276 1.01660 1.23254 0.96597 0.96992 1.02440 1.23319 0.88887 0.93611 0.96407 1.88456 1.37446 1.31473 1.69719 0.91982 0.93346 0.92292 0.92221 0.90041 0.95251 0.94040 0.92730 0.89096 0.91903 0.91656 0.89230 0.90076 0.91610 0.90435 0.91799 0.90904 0.89490 0.90558 0.90584 0.90945 0.90201 0.90501 0.91313 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 -0.17 -2.26 10.24 37.16 0.38 -1.88 16 2 C 0.11 1.74 5.93 -4.04 -0.02 1.72 16 3 N -0.60 -12.88 2.46 -175.07 -0.43 -13.31 16 4 C 0.25 6.62 5.16 -5.20 -0.03 6.60 16 5 C -0.52 -15.07 9.39 -34.44 -0.32 -15.40 16 6 H 0.06 1.59 7.81 -52.49 -0.41 1.18 16 7 C 0.06 1.77 5.46 -17.82 -0.10 1.67 16 8 N -0.90 -26.99 13.29 55.43 0.74 -26.26 16 9 Si 0.90 22.17 29.54 -169.99 -5.02 17.14 16 10 H -0.29 -6.96 7.11 56.52 0.40 -6.56 16 11 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 12 H -0.28 -6.88 7.11 56.52 0.40 -6.47 16 13 C 0.51 10.85 7.74 -10.98 -0.09 10.76 16 14 O -0.52 -13.59 16.01 5.55 0.09 -13.50 16 15 C 0.00 -0.05 3.82 -4.98 -0.02 -0.07 16 16 N -0.42 -6.37 5.20 -237.70 -1.24 -7.61 16 17 C 0.03 0.37 7.53 -6.76 -0.05 0.32 16 18 C -0.10 -1.10 1.20 -155.55 -0.19 -1.28 16 19 C -0.13 -1.13 7.90 -26.39 -0.21 -1.34 16 20 C -0.14 -1.34 8.08 -25.70 -0.21 -1.55 16 21 C -0.09 -1.03 6.30 -26.39 -0.17 -1.19 16 22 C 0.02 0.23 2.67 -70.64 -0.19 0.04 16 23 H 0.08 0.81 7.91 -51.93 -0.41 0.40 16 24 C 0.10 1.19 2.99 -26.01 -0.08 1.11 16 25 H 0.08 0.76 8.14 -51.93 -0.42 0.34 16 26 C -0.15 -1.58 6.56 -24.71 -0.16 -1.74 16 27 C -0.16 -1.67 7.16 -24.40 -0.17 -1.84 16 28 C 0.05 0.73 7.78 38.18 0.30 1.03 16 29 O -0.35 -4.93 8.60 -35.23 -0.30 -5.24 16 30 H 0.06 0.93 8.14 -51.93 -0.42 0.51 16 31 H 0.05 0.62 7.22 -51.93 -0.37 0.24 16 32 H 0.06 0.63 8.14 -51.93 -0.42 0.21 16 33 H 0.06 0.80 6.44 -51.93 -0.33 0.46 16 34 H 0.08 1.37 8.07 -51.93 -0.42 0.95 16 35 H 0.03 0.79 8.07 -51.93 -0.42 0.37 16 36 H 0.04 1.25 7.42 -51.93 -0.39 0.87 16 37 H 0.26 7.50 8.31 -40.82 -0.34 7.17 16 38 H 0.09 1.28 5.43 -51.93 -0.28 1.00 16 39 H 0.06 0.84 6.35 -51.93 -0.33 0.51 16 40 H 0.07 0.80 7.42 -51.93 -0.39 0.42 16 41 H 0.09 1.39 8.14 -51.93 -0.42 0.97 16 42 H 0.08 0.64 8.14 -51.93 -0.42 0.21 16 43 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 44 H 0.08 0.72 8.14 -51.93 -0.42 0.30 16 45 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 46 H 0.07 0.98 8.14 -51.93 -0.42 0.56 16 47 H 0.09 0.99 6.97 -51.93 -0.36 0.63 16 48 H 0.08 0.88 5.91 -51.93 -0.31 0.58 16 49 H 0.08 0.62 8.14 -51.93 -0.42 0.20 16 50 H 0.07 0.67 8.14 -51.93 -0.42 0.25 16 51 H 0.08 0.85 8.14 -51.93 -0.42 0.43 16 52 H 0.08 0.93 8.14 -51.93 -0.42 0.51 16 53 H 0.07 1.15 8.14 -51.93 -0.42 0.73 16 LS Contribution 409.63 15.07 6.17 6.17 Total: -1.00 -33.91 409.63 -10.79 -44.69 By element: Atomic # 1 Polarization: 10.42 SS G_CDS: -9.47 Total: 0.94 kcal Atomic # 6 Polarization: -1.72 SS G_CDS: -1.32 Total: -3.04 kcal Atomic # 7 Polarization: -46.25 SS G_CDS: -0.93 Total: -47.18 kcal Atomic # 8 Polarization: -18.52 SS G_CDS: -0.21 Total: -18.74 kcal Atomic # 14 Polarization: 22.17 SS G_CDS: -5.02 Total: 17.14 kcal Total LS contribution 6.17 Total: 6.17 kcal Total: -33.91 -10.79 -44.69 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. ZINC000377778406.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 29.928 kcal (2) G-P(sol) polarization free energy of solvation -33.906 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -3.977 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -10.787 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.693 kcal (6) G-S(sol) free energy of system = (1) + (5) -14.764 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.84 seconds