Wall clock time and date at job start Tue Mar 31 2020 19:43:11 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 1.17399 * 1 3 3 C 1.47203 * 179.97438 * 2 1 4 4 N 1.46493 * 109.47060 * 161.22476 * 3 2 1 5 5 C 1.34776 * 120.00384 * 267.38453 * 4 3 2 6 6 O 1.21273 * 120.00694 * 185.22192 * 5 4 3 7 7 C 1.50706 * 119.99734 * 5.21977 * 5 4 3 8 8 H 1.09003 * 109.46761 * 40.33781 * 7 5 4 9 9 C 1.52996 * 109.47258 * 280.33971 * 7 5 4 10 10 C 1.53006 * 109.47181 * 174.44684 * 9 7 5 11 11 C 1.53001 * 109.46795 * 174.99829 * 10 9 7 12 12 C 1.53003 * 109.46715 * 294.99682 * 10 9 7 13 13 O 1.42896 * 109.47231 * 160.33342 * 7 5 4 14 14 C 1.42898 * 114.00447 * 270.00270 * 13 7 5 15 15 C 1.46500 * 119.99949 * 87.38306 * 4 3 2 16 16 C 1.53040 * 109.46074 * 60.00294 * 15 4 3 17 17 C 1.53187 * 109.31438 * 178.61472 * 16 15 4 18 18 N 1.46929 * 108.89541 * 54.56030 * 17 16 15 19 19 C 1.36939 * 120.63287 * 126.46604 * 18 17 16 20 20 H 1.08007 * 119.99537 * 324.13750 * 19 18 17 21 21 C 1.38812 * 120.00032 * 144.13434 * 19 18 17 22 22 N 1.31609 * 119.99874 * 0.39786 * 21 19 18 23 23 Si 1.86795 * 119.99816 * 180.40119 * 21 19 18 24 24 H 1.48502 * 109.47262 * 359.97438 * 23 21 19 25 25 H 1.48500 * 109.47376 * 119.99875 * 23 21 19 26 26 H 1.48500 * 109.47118 * 240.00054 * 23 21 19 27 27 C 1.46965 * 118.71558 * 306.64585 * 18 17 16 28 28 C 1.53040 * 109.46218 * 299.93259 * 15 4 3 29 29 H 4.40634 * 5.51348 * 179.97438 * 4 1 2 30 30 H 1.09002 * 109.47170 * 41.22421 * 3 2 1 31 31 H 1.09003 * 109.47063 * 281.22547 * 3 2 1 32 32 H 1.08999 * 109.46874 * 294.44129 * 9 7 5 33 33 H 1.08999 * 109.47267 * 54.43890 * 9 7 5 34 34 H 1.08994 * 109.47183 * 54.99714 * 10 9 7 35 35 H 1.08994 * 109.47348 * 59.99987 * 11 10 9 36 36 H 1.08998 * 109.46626 * 179.97438 * 11 10 9 37 37 H 1.08997 * 109.47251 * 299.99069 * 11 10 9 38 38 H 1.09004 * 109.46795 * 180.02562 * 12 10 9 39 39 H 1.09001 * 109.46703 * 300.00176 * 12 10 9 40 40 H 1.08998 * 109.46908 * 59.99867 * 12 10 9 41 41 H 1.09004 * 109.47400 * 180.02562 * 14 13 7 42 42 H 1.08996 * 109.47152 * 300.00194 * 14 13 7 43 43 H 1.09003 * 109.46977 * 59.99718 * 14 13 7 44 44 H 1.09006 * 109.44885 * 179.97438 * 15 4 3 45 45 H 1.09000 * 109.49763 * 58.65755 * 16 15 4 46 46 H 1.09000 * 109.49515 * 298.56306 * 16 15 4 47 47 H 1.08996 * 109.59018 * 174.41949 * 17 16 15 48 48 H 1.09005 * 109.58822 * 294.70366 * 17 16 15 49 49 H 0.97007 * 120.00007 * 179.97438 * 22 21 19 50 50 H 1.09001 * 109.46454 * 293.57186 * 27 18 17 51 51 H 1.09000 * 109.71385 * 173.28661 * 27 18 17 52 52 H 1.09003 * 109.49495 * 301.33989 * 28 15 4 53 53 H 1.08991 * 109.49922 * 61.39861 * 28 15 4 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 1.1740 0.0000 0.0000 3 6 2.6460 0.0007 0.0000 4 7 3.1337 1.3085 -0.4445 5 6 3.4085 1.5182 -1.7472 6 8 3.9011 2.5681 -2.1018 7 6 3.1036 0.4478 -2.7633 8 1 2.1463 -0.0163 -2.5260 9 6 4.2059 -0.6127 -2.7334 10 6 3.8282 -1.7674 -3.6636 11 6 4.9842 -2.7675 -3.7302 12 6 2.5784 -2.4673 -3.1260 13 8 3.0397 1.0319 -4.0659 14 6 1.7357 1.4832 -4.4373 15 6 3.3228 2.3887 0.5269 16 6 4.3422 1.9529 1.5820 17 6 4.5631 3.0972 2.5761 18 7 3.2638 3.5075 3.1258 19 6 3.0640 3.5595 4.4796 20 1 3.5320 2.8291 5.1229 21 6 2.2600 4.5510 5.0249 22 7 1.6834 5.4364 4.2401 23 14 1.9964 4.6287 6.8725 24 1 2.7484 3.5277 7.5265 25 1 2.4817 5.9343 7.3874 26 1 0.5492 4.4853 7.1726 27 6 2.1818 3.8571 2.1948 28 6 1.9875 2.7042 1.2049 29 1 -1.0501 -0.0005 0.0000 30 1 3.0097 -0.7721 -0.6772 31 1 3.0094 -0.1992 1.0080 32 1 5.1448 -0.1703 -3.0662 33 1 4.3214 -0.9881 -1.7166 34 1 3.6261 -1.3787 -4.6616 35 1 5.1863 -3.1562 -2.7322 36 1 4.7149 -3.5903 -4.3925 37 1 5.8745 -2.2689 -4.1132 38 1 2.3096 -3.2902 -3.7885 39 1 2.7806 -2.8560 -2.1279 40 1 1.7550 -1.7547 -3.0785 41 1 1.7713 1.9128 -5.4385 42 1 1.0436 0.6412 -4.4281 43 1 1.3975 2.2393 -3.7288 44 1 3.6886 3.2782 0.0140 45 1 5.2859 1.7059 1.0958 46 1 3.9656 1.0781 2.1121 47 1 5.2115 2.7591 3.3844 48 1 5.0264 3.9411 2.0648 49 1 1.1212 6.1291 4.6211 50 1 2.4486 4.7638 1.6518 51 1 1.2582 4.0219 2.7496 52 1 1.2554 2.9919 0.4504 53 1 1.6329 1.8222 1.7381 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 ZINC001733373024.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 19:43:11 Heat of formation + Delta-G solvation = -10.954585 kcal Electronic energy + Delta-G solvation = -31257.870768 eV Core-core repulsion = 27324.889534 eV Total energy + Delta-G solvation = -3932.981234 eV No. of doubly occupied orbitals = 65 Molecular weight (most abundant/longest-lived isotopes) = 336.220 amu Computer time = 0.98 seconds Orbital eigenvalues (eV) -40.56905 -38.37017 -37.06384 -36.26120 -35.50811 -33.12202 -32.19644 -30.81508 -29.97796 -29.35470 -27.50561 -27.18808 -26.51961 -25.46592 -24.12619 -22.16397 -21.83483 -20.31874 -19.71878 -19.27228 -18.08517 -17.55346 -16.96758 -16.49480 -16.08135 -15.69014 -15.12588 -14.91378 -14.70644 -14.56223 -14.19076 -13.83200 -13.71942 -13.67898 -13.41498 -13.25480 -13.00296 -12.85373 -12.60045 -12.46925 -12.38645 -12.28321 -11.95212 -11.60206 -11.48957 -11.25373 -11.10774 -10.92342 -10.88895 -10.80662 -10.79674 -10.57559 -10.50406 -10.40020 -10.12910 -10.09208 -9.99590 -9.82639 -9.63550 -9.11834 -8.58347 -8.41014 -6.55678 -5.79732 -3.33116 2.44449 2.65653 2.80154 3.23761 3.35358 3.42810 3.44549 3.64750 4.27669 4.35794 4.46778 4.56658 4.63272 4.71516 4.82349 5.00613 5.04332 5.18894 5.25008 5.30684 5.33494 5.35524 5.40127 5.43271 5.45687 5.52999 5.54458 5.58014 5.63570 5.65730 5.72071 5.85680 5.88603 5.92145 6.01443 6.10311 6.12166 6.22764 6.33948 6.50332 6.59723 6.65561 6.78341 6.79871 6.94649 6.98088 7.39851 7.48857 7.59127 7.75384 7.78502 8.26063 8.51128 9.23292 9.82052 10.42969 11.27739 Molecular weight = 336.22amu Principal moments of inertia in cm(-1) A = 0.018858 B = 0.002902 C = 0.002880 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1484.405495 B = 9644.613670 C = 9718.656472 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.184 4.184 2 C -0.205 4.205 3 C 0.207 3.793 4 N -0.600 5.600 5 C 0.490 3.510 6 O -0.520 6.520 7 C 0.072 3.928 8 H 0.086 0.914 9 C -0.112 4.112 10 C -0.094 4.094 11 C -0.147 4.147 12 C -0.153 4.153 13 O -0.355 6.355 14 C 0.028 3.972 15 C 0.144 3.856 16 C -0.139 4.139 17 C 0.148 3.852 18 N -0.593 5.593 19 C -0.254 4.254 20 H 0.063 0.937 21 C 0.009 3.991 22 N -0.903 5.903 23 Si 0.903 3.097 24 H -0.277 1.277 25 H -0.288 1.288 26 H -0.290 1.290 27 C 0.174 3.826 28 C -0.142 4.142 29 H 0.216 0.784 30 H 0.100 0.900 31 H 0.108 0.892 32 H 0.082 0.918 33 H 0.083 0.917 34 H 0.080 0.920 35 H 0.055 0.945 36 H 0.055 0.945 37 H 0.056 0.944 38 H 0.057 0.943 39 H 0.057 0.943 40 H 0.053 0.947 41 H 0.090 0.910 42 H 0.041 0.959 43 H 0.043 0.957 44 H 0.096 0.904 45 H 0.054 0.946 46 H 0.060 0.940 47 H 0.057 0.943 48 H 0.020 0.980 49 H 0.254 0.746 50 H 0.017 0.983 51 H 0.095 0.905 52 H 0.046 0.954 53 H 0.058 0.942 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 0.139 -17.138 -15.707 23.247 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 -0.202 4.202 2 C -0.206 4.206 3 C 0.085 3.915 4 N -0.334 5.334 5 C 0.277 3.723 6 O -0.395 6.395 7 C 0.011 3.989 8 H 0.103 0.897 9 C -0.149 4.149 10 C -0.113 4.113 11 C -0.204 4.204 12 C -0.210 4.210 13 O -0.272 6.272 14 C -0.068 4.068 15 C 0.042 3.958 16 C -0.179 4.179 17 C 0.021 3.979 18 N -0.316 5.316 19 C -0.384 4.384 20 H 0.081 0.919 21 C -0.190 4.190 22 N -0.547 5.547 23 Si 0.733 3.267 24 H -0.202 1.202 25 H -0.215 1.215 26 H -0.217 1.217 27 C 0.048 3.952 28 C -0.183 4.183 29 H 0.233 0.767 30 H 0.118 0.882 31 H 0.126 0.874 32 H 0.100 0.900 33 H 0.101 0.899 34 H 0.098 0.902 35 H 0.074 0.926 36 H 0.074 0.926 37 H 0.075 0.925 38 H 0.076 0.924 39 H 0.076 0.924 40 H 0.072 0.928 41 H 0.108 0.892 42 H 0.060 0.940 43 H 0.062 0.938 44 H 0.114 0.886 45 H 0.073 0.927 46 H 0.078 0.922 47 H 0.076 0.924 48 H 0.038 0.962 49 H 0.064 0.936 50 H 0.035 0.965 51 H 0.113 0.887 52 H 0.065 0.935 53 H 0.076 0.924 Dipole moment (debyes) X Y Z Total from point charges 0.505 -16.380 -15.980 22.889 hybrid contribution -0.868 0.161 1.184 1.476 sum -0.363 -16.219 -14.797 21.957 Atomic orbital electron populations 1.24919 0.95883 0.98978 1.00453 1.23488 0.94845 1.01381 1.00892 1.18597 0.84062 0.85883 1.02970 1.48353 1.64645 1.12905 1.07471 1.21386 0.78464 0.89280 0.83187 1.90701 1.42022 1.27496 1.79238 1.22219 1.00953 0.91974 0.83774 0.89668 1.21808 0.98188 0.93977 1.00933 1.21083 0.95536 0.94691 0.99981 1.21827 0.97968 0.98745 1.01861 1.21959 0.97426 1.00377 1.01281 1.87971 1.30003 1.79293 1.29979 1.22856 0.84265 0.98462 1.01225 1.21266 0.97080 0.89209 0.88203 1.22387 0.97472 1.00801 0.97236 1.20873 0.89326 0.93335 0.94338 1.44009 1.05996 1.79127 1.02445 1.19174 1.28831 1.07972 0.82442 0.91891 1.25337 1.00434 0.95489 0.97741 1.69924 1.34060 1.17336 1.33393 0.86208 0.77473 0.77570 0.85454 1.20204 1.21500 1.21669 1.20844 0.94446 0.90714 0.89232 1.22583 0.94691 1.02075 0.98913 0.76713 0.88229 0.87446 0.89950 0.89875 0.90164 0.92598 0.92601 0.92495 0.92421 0.92426 0.92790 0.89192 0.94016 0.93826 0.88630 0.92738 0.92183 0.92437 0.96189 0.93555 0.96456 0.88682 0.93548 0.92355 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 15. 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 -0.18 -2.13 19.25 29.55 0.57 -1.56 16 2 C -0.20 -2.57 11.25 -37.12 -0.42 -2.99 16 3 C 0.21 2.46 5.02 -6.83 -0.03 2.42 16 4 N -0.60 -8.99 2.38 -169.37 -0.40 -9.39 16 5 C 0.49 7.74 6.89 -10.98 -0.08 7.67 16 6 O -0.52 -10.43 15.95 -13.53 -0.22 -10.65 16 7 C 0.07 0.87 1.55 -27.88 -0.04 0.83 16 8 H 0.09 0.92 4.76 -51.93 -0.25 0.67 16 9 C -0.11 -1.08 4.02 -26.73 -0.11 -1.19 16 10 C -0.09 -0.74 2.87 -90.61 -0.26 -1.00 16 11 C -0.15 -0.99 9.19 37.16 0.34 -0.65 16 12 C -0.15 -1.06 8.96 37.16 0.33 -0.73 16 13 O -0.36 -4.70 9.44 -54.33 -0.51 -5.21 16 14 C 0.03 0.30 10.81 101.05 1.09 1.40 16 15 C 0.14 2.60 2.48 -67.89 -0.17 2.43 16 16 C -0.14 -2.42 5.30 -26.61 -0.14 -2.56 16 17 C 0.15 3.13 6.51 -3.71 -0.02 3.11 16 18 N -0.59 -14.85 2.99 -172.29 -0.52 -15.36 16 19 C -0.25 -6.92 9.55 -15.06 -0.14 -7.06 16 20 H 0.06 1.68 7.83 -52.48 -0.41 1.27 16 21 C 0.01 0.25 5.25 -17.43 -0.09 0.15 16 22 N -0.90 -26.13 10.83 55.49 0.60 -25.53 16 23 Si 0.90 21.52 29.55 -169.99 -5.02 16.50 16 24 H -0.28 -6.42 7.11 56.52 0.40 -6.02 16 25 H -0.29 -6.95 7.11 56.52 0.40 -6.55 16 26 H -0.29 -6.92 7.11 56.52 0.40 -6.52 16 27 C 0.17 4.23 5.22 -3.69 -0.02 4.21 16 28 C -0.14 -2.82 4.67 -26.61 -0.12 -2.95 16 29 H 0.22 1.81 7.80 -54.08 -0.42 1.39 16 30 H 0.10 0.90 4.56 -51.93 -0.24 0.66 16 31 H 0.11 1.25 6.46 -51.93 -0.34 0.92 16 32 H 0.08 0.89 8.14 -51.93 -0.42 0.47 16 33 H 0.08 0.70 6.05 -51.93 -0.31 0.39 16 34 H 0.08 0.70 7.71 -51.93 -0.40 0.30 16 35 H 0.05 0.35 8.14 -51.93 -0.42 -0.07 16 36 H 0.05 0.33 8.14 -51.93 -0.42 -0.09 16 37 H 0.06 0.39 8.14 -51.93 -0.42 -0.03 16 38 H 0.06 0.35 8.14 -51.93 -0.42 -0.07 16 39 H 0.06 0.37 8.14 -51.93 -0.42 -0.06 16 40 H 0.05 0.40 6.45 -51.93 -0.33 0.06 16 41 H 0.09 0.80 8.14 -51.93 -0.42 0.38 16 42 H 0.04 0.36 8.08 -51.93 -0.42 -0.06 16 43 H 0.04 0.53 8.14 -51.93 -0.42 0.11 16 44 H 0.10 1.99 6.91 -51.93 -0.36 1.63 16 45 H 0.05 0.86 8.14 -51.93 -0.42 0.44 16 46 H 0.06 1.01 6.74 -51.93 -0.35 0.66 16 47 H 0.06 1.17 7.93 -51.93 -0.41 0.76 16 48 H 0.02 0.44 8.14 -51.93 -0.42 0.02 16 49 H 0.25 7.10 8.31 -40.82 -0.34 6.76 16 50 H 0.02 0.45 8.14 -51.93 -0.42 0.03 16 51 H 0.10 2.58 6.12 -51.93 -0.32 2.26 16 52 H 0.05 0.91 8.14 -51.93 -0.42 0.48 16 53 H 0.06 1.16 6.89 -51.93 -0.36 0.80 16 LS Contribution 411.61 15.07 6.20 6.20 Total: -1.00 -32.61 411.61 -8.31 -40.92 By element: Atomic # 1 Polarization: 10.11 SS G_CDS: -9.13 Total: 0.98 kcal Atomic # 6 Polarization: 0.85 SS G_CDS: 0.68 Total: 1.54 kcal Atomic # 7 Polarization: -49.96 SS G_CDS: -0.32 Total: -50.28 kcal Atomic # 8 Polarization: -15.13 SS G_CDS: -0.73 Total: -15.86 kcal Atomic # 14 Polarization: 21.52 SS G_CDS: -5.02 Total: 16.50 kcal Total LS contribution 6.20 Total: 6.20 kcal Total: -32.61 -8.31 -40.92 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. ZINC001733373024.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 29.961 kcal (2) G-P(sol) polarization free energy of solvation -32.606 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -2.644 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.310 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.916 kcal (6) G-S(sol) free energy of system = (1) + (5) -10.955 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.98 seconds