Wall clock time and date at job start Wed Apr 1 2020 00:20:32 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 1.53001 * 1 3 3 H 1.08999 * 109.51454 * 2 1 4 4 C 1.53286 * 109.51292 * 239.84597 * 2 1 3 5 5 N 1.47164 * 108.52901 * 187.01241 * 4 2 1 6 6 C 1.34779 * 121.07656 * 231.55960 * 5 4 2 7 7 O 1.21279 * 119.99770 * 179.71638 * 6 5 4 8 8 C 1.50704 * 119.99675 * 359.72452 * 6 5 4 9 9 O 1.42900 * 109.46489 * 179.97438 * 8 6 5 10 10 C 1.42902 * 113.99510 * 180.02562 * 9 8 6 11 11 C 1.52999 * 109.47271 * 59.99617 * 10 9 8 12 12 C 1.53004 * 109.47196 * 180.02562 * 10 9 8 13 13 C 1.53001 * 109.47230 * 299.99593 * 10 9 8 14 14 C 1.47326 * 117.84793 * 51.29064 * 5 4 2 15 15 C 1.52359 * 108.46283 * 310.86656 * 14 5 4 16 16 C 1.54357 * 110.41149 * 286.32659 * 15 14 5 17 17 C 1.54468 * 102.87527 * 207.64378 * 16 15 14 18 18 N 1.47081 * 107.29814 * 21.49444 * 17 16 15 19 19 C 1.36940 * 125.63189 * 180.99894 * 18 17 16 20 20 H 1.07996 * 120.00167 * 180.02562 * 19 18 17 21 21 C 1.38817 * 119.99752 * 359.97438 * 19 18 17 22 22 N 1.31616 * 119.99774 * 0.02562 * 21 19 18 23 23 Si 1.86803 * 119.99805 * 180.02562 * 21 19 18 24 24 H 1.48497 * 109.46653 * 90.00211 * 23 21 19 25 25 H 1.48497 * 109.46906 * 210.00317 * 23 21 19 26 26 H 1.48498 * 109.47283 * 330.00107 * 23 21 19 27 27 C 1.47575 * 108.73893 * 0.99310 * 18 17 16 28 28 O 1.41878 * 111.47629 * 49.88359 * 15 14 5 29 29 H 1.08993 * 109.47048 * 299.90492 * 1 2 3 30 30 H 1.09008 * 109.46749 * 59.90123 * 1 2 3 31 31 H 1.08991 * 109.47254 * 179.89472 * 1 2 3 32 32 H 1.08996 * 109.62410 * 67.29931 * 4 2 1 33 33 H 1.08999 * 109.62397 * 306.72749 * 4 2 1 34 34 H 1.09000 * 109.46915 * 299.99140 * 8 6 5 35 35 H 1.08989 * 109.47057 * 59.99796 * 8 6 5 36 36 H 1.08999 * 109.47020 * 60.00262 * 11 10 9 37 37 H 1.09009 * 109.47070 * 180.02562 * 11 10 9 38 38 H 1.08995 * 109.47257 * 300.00170 * 11 10 9 39 39 H 1.08997 * 109.46915 * 59.99673 * 12 10 9 40 40 H 1.08999 * 109.47225 * 180.02562 * 12 10 9 41 41 H 1.09003 * 109.46419 * 299.99295 * 12 10 9 42 42 H 1.09004 * 109.46913 * 60.00235 * 13 10 9 43 43 H 1.08999 * 109.47421 * 180.02562 * 13 10 9 44 44 H 1.09001 * 109.46913 * 300.00196 * 13 10 9 45 45 H 1.09001 * 109.63639 * 70.56071 * 14 5 4 46 46 H 1.08998 * 109.63453 * 190.96726 * 14 5 4 47 47 H 1.08998 * 110.73533 * 325.98744 * 16 15 14 48 48 H 1.08995 * 110.73097 * 89.30288 * 16 15 14 49 49 H 1.09008 * 109.87704 * 262.06375 * 17 16 15 50 50 H 1.09006 * 109.99961 * 140.99008 * 17 16 15 51 51 H 0.97003 * 119.99507 * 179.97438 * 22 21 19 52 52 H 1.08995 * 110.37192 * 217.86041 * 27 18 17 53 53 H 1.09000 * 110.37508 * 95.51236 * 27 18 17 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 1 1.8941 1.0274 0.0000 4 6 2.0420 -0.7258 -1.2493 5 7 3.5036 -0.8621 -1.1449 6 6 4.3125 -0.4682 -2.1484 7 8 5.5148 -0.5849 -2.0394 8 6 3.7230 0.1174 -3.4057 9 8 4.7748 0.4554 -4.3121 10 6 4.3213 1.0223 -5.5430 11 6 3.5419 2.3073 -5.2562 12 6 5.5253 1.3429 -6.4311 13 6 3.4111 0.0231 -6.2600 14 6 4.0543 -1.4376 0.0945 15 6 3.4214 -0.7221 1.2815 16 6 4.0047 0.6996 1.4265 17 6 3.8579 0.9792 2.9386 18 7 3.7484 -0.3221 3.6154 19 6 3.5848 -0.5097 4.9619 20 1 3.5152 -1.5099 5.3633 21 6 3.5096 0.5858 5.8112 22 7 3.5950 1.8047 5.3221 23 14 3.2871 0.3298 7.6482 24 1 4.6183 0.2305 8.2988 25 1 2.5406 1.4786 8.2212 26 1 2.5257 -0.9229 7.8849 27 6 3.8439 -1.3922 2.6036 28 8 2.0080 -0.6765 1.1670 29 1 -0.3633 0.5123 0.8908 30 1 -0.3633 0.5154 -0.8892 31 1 -0.3633 -1.0276 -0.0019 32 1 1.7908 -0.1466 -2.1378 33 1 1.5856 -1.7136 -1.3116 34 1 3.0622 -0.6135 -3.8717 35 1 3.1555 1.0141 -3.1574 36 1 4.1903 3.0192 -4.7455 37 1 3.1956 2.7395 -6.1951 38 1 2.6841 2.0785 -4.6238 39 1 6.0801 0.4272 -6.6353 40 1 5.1794 1.7757 -7.3698 41 1 6.1739 2.0547 -5.9205 42 1 2.5533 -0.2057 -5.6275 43 1 3.0656 0.4553 -7.1991 44 1 3.9664 -0.8923 -6.4643 45 1 3.8199 -2.5011 0.1402 46 1 5.1354 -1.2996 0.1136 47 1 5.0536 0.7185 1.1307 48 1 3.4253 1.4156 0.8438 49 1 2.9593 1.5687 3.1210 50 1 4.7334 1.5152 3.3053 51 1 3.5420 2.5702 5.9156 52 1 3.1647 -2.2084 2.8494 53 1 4.8683 -1.7577 2.5334 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 ZINC001131648929.mol2 53 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Wed Apr 1 2020 00:20:32 Heat of formation + Delta-G solvation = -87.560913 kcal Electronic energy + Delta-G solvation = -32033.562005 eV Core-core repulsion = 27906.802820 eV Total energy + Delta-G solvation = -4126.759185 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.07 seconds Orbital eigenvalues (eV) -40.70357 -39.49128 -38.31353 -36.37257 -34.63158 -33.76016 -33.07952 -31.34077 -29.80854 -28.95527 -28.16829 -27.80052 -27.21520 -26.53973 -25.15607 -23.52644 -21.92010 -20.46106 -20.19365 -19.79576 -18.91568 -17.57268 -17.01520 -16.83728 -16.33172 -16.15339 -16.00291 -15.10388 -14.87875 -14.67645 -14.40018 -14.24884 -14.16946 -13.74674 -13.57646 -13.43155 -13.21350 -12.91110 -12.57943 -12.53575 -12.34451 -12.30383 -12.19039 -12.13725 -12.09529 -11.97104 -11.81856 -11.62873 -11.58267 -11.00216 -10.95387 -10.89867 -10.84682 -10.35390 -10.20600 -10.08066 -10.03218 -9.90328 -9.73208 -9.59484 -9.50885 -8.54375 -8.39086 -6.78427 -5.65834 -2.98894 2.49387 2.55944 3.43984 3.48512 3.50659 3.53219 3.83577 4.28693 4.45425 4.51039 4.54432 4.63867 4.63940 4.71620 4.84708 4.91065 5.02194 5.10417 5.11257 5.16450 5.18658 5.31530 5.33780 5.36588 5.45862 5.47888 5.48875 5.51122 5.57915 5.59451 5.65393 5.77633 5.81808 5.88641 5.91206 5.92474 5.97948 6.14970 6.16558 6.32080 6.49831 6.51645 6.56478 6.66463 6.86941 7.28363 7.59430 7.66329 7.68386 7.87661 8.10656 8.29886 9.26513 9.86523 10.52272 11.46081 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.020962 B = 0.002620 C = 0.002549 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1335.400805 B =10684.309522 C =10981.358202 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.141 4.141 2 C 0.068 3.932 3 H 0.066 0.934 4 C 0.077 3.923 5 N -0.611 5.611 6 C 0.517 3.483 7 O -0.517 6.517 8 C 0.042 3.958 9 O -0.350 6.350 10 C 0.104 3.896 11 C -0.181 4.181 12 C -0.137 4.137 13 C -0.180 4.180 14 C 0.099 3.901 15 C 0.093 3.907 16 C -0.165 4.165 17 C 0.186 3.814 18 N -0.599 5.599 19 C -0.224 4.224 20 H 0.078 0.922 21 C -0.009 4.009 22 N -0.922 5.922 23 Si 0.912 3.088 24 H -0.289 1.289 25 H -0.291 1.291 26 H -0.281 1.281 27 C 0.153 3.847 28 O -0.342 6.342 29 H 0.071 0.929 30 H 0.068 0.932 31 H 0.064 0.936 32 H 0.086 0.914 33 H 0.080 0.920 34 H 0.079 0.921 35 H 0.080 0.920 36 H 0.067 0.933 37 H 0.068 0.932 38 H 0.059 0.941 39 H 0.065 0.935 40 H 0.071 0.929 41 H 0.065 0.935 42 H 0.059 0.941 43 H 0.068 0.932 44 H 0.066 0.934 45 H 0.074 0.926 46 H 0.103 0.897 47 H 0.065 0.935 48 H 0.060 0.940 49 H 0.046 0.954 50 H 0.043 0.957 51 H 0.251 0.749 52 H 0.051 0.949 53 H 0.037 0.963 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.354 -2.012 -24.718 25.371 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 -0.199 4.199 2 C 0.009 3.991 3 H 0.083 0.917 4 C -0.046 4.046 5 N -0.347 5.347 6 C 0.304 3.696 7 O -0.392 6.392 8 C -0.038 4.038 9 O -0.269 6.269 10 C 0.064 3.936 11 C -0.238 4.238 12 C -0.194 4.194 13 C -0.237 4.237 14 C -0.023 4.023 15 C 0.051 3.949 16 C -0.204 4.204 17 C 0.061 3.939 18 N -0.326 5.326 19 C -0.352 4.352 20 H 0.096 0.904 21 C -0.205 4.205 22 N -0.570 5.570 23 Si 0.743 3.257 24 H -0.217 1.217 25 H -0.218 1.218 26 H -0.207 1.207 27 C 0.026 3.974 28 O -0.261 6.261 29 H 0.090 0.910 30 H 0.086 0.914 31 H 0.083 0.917 32 H 0.104 0.896 33 H 0.098 0.902 34 H 0.097 0.903 35 H 0.098 0.902 36 H 0.086 0.914 37 H 0.087 0.913 38 H 0.078 0.922 39 H 0.084 0.916 40 H 0.090 0.910 41 H 0.085 0.915 42 H 0.078 0.922 43 H 0.087 0.913 44 H 0.085 0.915 45 H 0.092 0.908 46 H 0.121 0.879 47 H 0.084 0.916 48 H 0.079 0.921 49 H 0.064 0.936 50 H 0.061 0.939 51 H 0.061 0.939 52 H 0.069 0.931 53 H 0.055 0.945 Dipole moment (debyes) X Y Z Total from point charges -4.628 -2.044 -24.302 24.823 hybrid contribution -0.433 0.178 0.693 0.836 sum -5.061 -1.866 -23.609 24.218 Atomic orbital electron populations 1.21693 0.92410 1.03019 1.02764 1.22445 0.95360 0.96080 0.85208 0.91656 1.22557 0.80198 1.02098 0.99739 1.48115 1.06617 1.63037 1.16946 1.20180 0.86964 0.78354 0.84091 1.90727 1.14346 1.53869 1.80238 1.22236 0.91430 1.00218 0.89890 1.88117 1.30333 1.81899 1.26517 1.21606 0.95120 0.92211 0.84624 1.22462 1.00744 0.97981 1.02635 1.21741 0.96842 1.02652 0.98164 1.22458 0.99959 1.00214 1.01097 1.22162 1.00695 0.97327 0.82111 1.22408 0.80994 0.96552 0.94915 1.23357 1.00026 0.95662 1.01317 1.21100 1.00772 0.87796 0.84224 1.44422 1.85843 1.00075 1.02211 1.19046 1.42632 0.92897 0.80623 0.90376 1.24793 1.02326 0.95278 0.98127 1.69970 1.56942 0.96937 1.33178 0.86105 0.77594 0.76912 0.85075 1.21663 1.21760 1.20704 1.21340 0.97553 0.92598 0.85915 1.87920 1.20201 1.76529 1.41447 0.90961 0.91353 0.91702 0.89613 0.90207 0.90286 0.90193 0.91351 0.91259 0.92210 0.91635 0.91031 0.91546 0.92237 0.91263 0.91509 0.90825 0.87908 0.91604 0.92116 0.93558 0.93926 0.93853 0.93067 0.94519 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 -0.14 -1.48 9.57 37.16 0.36 -1.12 16 2 C 0.07 0.89 3.20 -26.58 -0.09 0.81 16 3 H 0.07 0.92 6.25 -51.93 -0.32 0.59 16 4 C 0.08 0.81 5.82 -3.53 -0.02 0.79 16 5 N -0.61 -8.30 2.95 -172.70 -0.51 -8.81 16 6 C 0.52 7.54 7.79 -10.98 -0.09 7.46 16 7 O -0.52 -9.77 15.98 -14.35 -0.23 -10.00 16 8 C 0.04 0.45 3.99 36.01 0.14 0.59 16 9 O -0.35 -4.33 9.52 -55.14 -0.52 -4.86 16 10 C 0.10 0.88 1.14 -90.62 -0.10 0.78 16 11 C -0.18 -1.28 8.25 37.16 0.31 -0.98 16 12 C -0.14 -1.04 8.84 37.16 0.33 -0.71 16 13 C -0.18 -1.18 8.25 37.16 0.31 -0.88 16 14 C 0.10 1.55 5.29 -3.92 -0.02 1.53 16 15 C 0.09 1.69 0.84 -89.65 -0.08 1.61 16 16 C -0.17 -3.29 5.88 -25.25 -0.15 -3.44 16 17 C 0.19 4.68 5.39 -2.95 -0.02 4.67 16 18 N -0.60 -15.70 3.40 -170.30 -0.58 -16.28 16 19 C -0.22 -6.36 10.28 -15.06 -0.15 -6.51 16 20 H 0.08 2.13 7.83 -52.49 -0.41 1.72 16 21 C -0.01 -0.27 5.49 -17.43 -0.10 -0.36 16 22 N -0.92 -27.64 10.31 55.49 0.57 -27.07 16 23 Si 0.91 22.49 29.55 -169.99 -5.02 17.47 16 24 H -0.29 -7.11 7.11 56.52 0.40 -6.71 16 25 H -0.29 -7.23 7.11 56.52 0.40 -6.83 16 26 H -0.28 -6.75 7.11 56.52 0.40 -6.34 16 27 C 0.15 3.24 6.42 -2.86 -0.02 3.22 16 28 O -0.34 -6.11 9.92 -35.22 -0.35 -6.46 16 29 H 0.07 0.88 8.14 -51.93 -0.42 0.45 16 30 H 0.07 0.50 8.14 -51.92 -0.42 0.08 16 31 H 0.06 0.64 8.14 -51.93 -0.42 0.22 16 32 H 0.09 0.63 6.05 -51.93 -0.31 0.32 16 33 H 0.08 0.76 8.14 -51.93 -0.42 0.34 16 34 H 0.08 0.65 6.29 -51.93 -0.33 0.32 16 35 H 0.08 0.71 5.94 -51.94 -0.31 0.40 16 36 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 37 H 0.07 0.37 8.14 -51.92 -0.42 -0.05 16 38 H 0.06 0.39 6.54 -51.93 -0.34 0.05 16 39 H 0.06 0.52 8.14 -51.93 -0.42 0.10 16 40 H 0.07 0.39 8.14 -51.93 -0.42 -0.04 16 41 H 0.07 0.55 8.14 -51.93 -0.42 0.13 16 42 H 0.06 0.35 6.54 -51.93 -0.34 0.01 16 43 H 0.07 0.35 8.14 -51.93 -0.42 -0.08 16 44 H 0.07 0.48 8.14 -51.93 -0.42 0.05 16 45 H 0.07 1.05 8.14 -51.93 -0.42 0.62 16 46 H 0.10 1.74 6.86 -51.93 -0.36 1.38 16 47 H 0.07 1.30 7.83 -51.93 -0.41 0.90 16 48 H 0.06 1.13 6.10 -51.93 -0.32 0.81 16 49 H 0.05 1.30 7.39 -51.92 -0.38 0.91 16 50 H 0.04 1.19 7.49 -51.93 -0.39 0.80 16 51 H 0.25 7.31 8.31 -40.82 -0.34 6.97 16 52 H 0.05 1.07 8.14 -51.93 -0.42 0.65 16 53 H 0.04 0.75 7.99 -51.93 -0.42 0.34 16 LS Contribution 402.63 15.07 6.07 6.07 Total: -1.00 -35.02 402.63 -9.22 -44.24 By element: Atomic # 1 Polarization: 7.51 SS G_CDS: -9.26 Total: -1.75 kcal Atomic # 6 Polarization: 6.83 SS G_CDS: 0.62 Total: 7.45 kcal Atomic # 7 Polarization: -51.64 SS G_CDS: -0.52 Total: -52.15 kcal Atomic # 8 Polarization: -20.22 SS G_CDS: -1.10 Total: -21.32 kcal Atomic # 14 Polarization: 22.49 SS G_CDS: -5.02 Total: 17.47 kcal Total LS contribution 6.07 Total: 6.07 kcal Total: -35.02 -9.22 -44.24 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. ZINC001131648929.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 -43.318 kcal (2) G-P(sol) polarization free energy of solvation -35.022 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -78.340 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.221 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -44.243 kcal (6) G-S(sol) free energy of system = (1) + (5) -87.561 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.07 seconds