Wall clock time and date at job start Sat Apr 11 2020 06:12:49 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 C 1.52997 * 109.46788 * 2 1 4 4 C 1.53003 * 109.47099 * 180.02562 * 3 2 1 5 5 O 1.45199 * 109.47236 * 179.97438 * 4 3 2 6 6 C 1.34643 * 116.99673 * 179.97438 * 5 4 3 7 7 O 1.21511 * 120.00113 * 0.02562 * 6 5 4 8 8 N 1.34777 * 119.99423 * 180.02562 * 6 5 4 9 9 C 1.46501 * 119.99817 * 180.02562 * 8 6 5 10 10 H 1.08995 * 109.47266 * 34.99307 * 9 8 6 11 11 C 1.50696 * 109.47425 * 154.99837 * 9 8 6 12 12 O 1.21296 * 119.99887 * 27.24058 * 11 9 8 13 13 N 1.34773 * 120.00004 * 207.23548 * 11 9 8 14 14 C 1.37101 * 119.99737 * 176.77988 * 13 11 9 15 15 H 1.08001 * 120.00010 * 159.99780 * 14 13 11 16 16 C 1.38948 * 120.00004 * 339.99133 * 14 13 11 17 17 N 1.31412 * 119.99766 * 105.73503 * 16 14 13 18 18 Si 1.86805 * 120.00059 * 285.73573 * 16 14 13 19 19 H 1.48497 * 109.47196 * 359.97438 * 18 16 14 20 20 H 1.48504 * 109.46730 * 120.00170 * 18 16 14 21 21 H 1.48498 * 109.47066 * 239.99802 * 18 16 14 22 22 C 1.46496 * 120.00137 * 356.77698 * 13 11 9 23 23 C 1.52999 * 109.47088 * 93.42841 * 22 13 11 24 24 C 1.52997 * 109.47519 * 179.97438 * 23 22 13 25 25 C 1.52999 * 109.47519 * 179.97438 * 24 23 22 26 26 C 1.53009 * 109.46929 * 274.99953 * 9 8 6 27 27 C 1.52999 * 117.51429 * 351.60172 * 26 9 8 28 28 C 1.53001 * 117.49785 * 60.22959 * 26 9 8 29 29 H 1.08997 * 109.47375 * 60.00405 * 1 2 3 30 30 H 1.09007 * 109.46948 * 180.02562 * 1 2 3 31 31 H 1.09003 * 109.47360 * 299.99556 * 1 2 3 32 32 H 1.09001 * 109.46740 * 240.00015 * 2 1 3 33 33 H 1.09001 * 109.47323 * 120.00340 * 2 1 3 34 34 H 1.08991 * 109.47412 * 60.00459 * 3 2 1 35 35 H 1.09004 * 109.47173 * 299.99817 * 3 2 1 36 36 H 1.09001 * 109.47265 * 59.99704 * 4 3 2 37 37 H 1.09001 * 109.47002 * 300.00334 * 4 3 2 38 38 H 0.97002 * 120.00530 * 359.97438 * 8 6 5 39 39 H 0.97003 * 119.99509 * 185.02145 * 17 16 14 40 40 H 1.08994 * 109.47324 * 213.42744 * 22 13 11 41 41 H 1.08997 * 109.46972 * 333.43112 * 22 13 11 42 42 H 1.09003 * 109.47007 * 300.00409 * 23 22 13 43 43 H 1.08999 * 109.47168 * 59.99767 * 23 22 13 44 44 H 1.09003 * 109.47072 * 300.00707 * 24 23 22 45 45 H 1.08999 * 109.46997 * 59.99777 * 24 23 22 46 46 H 1.08997 * 109.46992 * 60.00399 * 25 24 23 47 47 H 1.09001 * 109.47247 * 180.02562 * 25 24 23 48 48 H 1.08994 * 109.46959 * 300.00241 * 25 24 23 49 49 H 1.08997 * 115.54884 * 205.89962 * 26 9 8 50 50 H 1.09001 * 117.49772 * 214.96783 * 27 26 9 51 51 H 1.08995 * 117.50709 * 359.97438 * 27 26 9 52 52 H 1.09002 * 117.50131 * 359.97438 * 28 26 9 53 53 H 1.08995 * 117.49343 * 144.99870 * 28 26 9 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 6 2.0399 1.4425 0.0000 4 6 3.5699 1.4426 -0.0006 5 8 4.0539 2.8115 -0.0013 6 6 5.3887 2.9879 -0.0013 7 8 6.1289 2.0243 -0.0014 8 7 5.9038 4.2334 -0.0014 9 6 7.3561 4.4254 -0.0020 10 1 7.8264 3.6386 -0.5917 11 6 7.6851 5.7679 -0.6024 12 8 6.8811 6.6739 -0.5394 13 7 8.8728 5.9618 -1.2093 14 6 9.1460 7.1620 -1.8132 15 1 10.1690 7.4468 -2.0102 16 6 8.1069 8.0118 -2.1719 17 7 7.8747 9.0983 -1.4702 18 14 7.0398 7.6097 -3.6515 19 1 7.5048 6.3407 -4.2669 20 1 5.6273 7.4616 -3.2175 21 1 7.1394 8.7074 -4.6466 22 6 9.8717 4.8903 -1.2237 23 6 9.7232 4.0719 -2.5079 24 6 10.7668 2.9532 -2.5233 25 6 10.6179 2.1344 -3.8072 26 6 7.8789 4.3674 1.4348 27 6 6.8451 4.3317 2.5622 28 6 7.6468 3.0745 2.2193 29 1 -0.3634 0.5137 -0.8900 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3634 0.5138 0.8900 32 1 1.8933 -0.5138 -0.8900 33 1 1.8934 -0.5139 0.8900 34 1 1.6767 1.9563 0.8899 35 1 1.6766 1.9563 -0.8900 36 1 3.9330 0.9289 -0.8908 37 1 3.9337 0.9286 0.8891 38 1 5.3129 5.0027 -0.0017 39 1 7.1059 9.6531 -1.6753 40 1 10.8706 5.3243 -1.1830 41 1 9.7216 4.2421 -0.3604 42 1 8.7241 3.6380 -2.5487 43 1 9.8732 4.7202 -3.3712 44 1 11.7657 3.3876 -2.4826 45 1 10.6172 2.3049 -1.6600 46 1 10.7673 2.7825 -4.6708 47 1 11.3612 1.3372 -3.8179 48 1 9.6191 1.7001 -3.8473 49 1 8.8067 4.9086 1.6197 50 1 7.0929 4.8494 3.4888 51 1 5.7923 4.3500 2.2805 52 1 7.1214 2.2653 1.7120 53 1 8.4220 2.7652 2.9203 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 ZINC001186293225.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 06:12:49 Heat of formation + Delta-G solvation = -85.271165 kcal Electronic energy + Delta-G solvation = -31721.835957 eV Core-core repulsion = 27595.176063 eV Total energy + Delta-G solvation = -4126.659894 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.88 seconds Orbital eigenvalues (eV) -40.54373 -38.98768 -37.30849 -36.14044 -35.48056 -35.03211 -33.82685 -33.17344 -32.38206 -29.78192 -28.37118 -27.97235 -24.63170 -23.87302 -22.94531 -22.04399 -21.50403 -21.39335 -20.83885 -20.08939 -19.29064 -18.66475 -16.96426 -16.70398 -16.53981 -15.92442 -15.47465 -15.25516 -14.87798 -14.64003 -14.58597 -14.15236 -14.12248 -13.71165 -13.56038 -13.39854 -13.07654 -12.72090 -12.60660 -12.38212 -12.28083 -12.12652 -11.97686 -11.78044 -11.61079 -11.45722 -11.31685 -11.25860 -11.04412 -10.97095 -10.87468 -10.81786 -10.64125 -10.49608 -10.43165 -10.33380 -10.11569 -10.01824 -9.92224 -9.74612 -8.89141 -8.71349 -8.11758 -7.55832 -6.80115 -3.42859 2.31855 3.03328 3.26455 3.51279 3.52594 3.93819 4.08286 4.33148 4.37504 4.57456 4.62299 4.70995 4.87381 4.92374 5.02635 5.18695 5.22625 5.24517 5.26874 5.29555 5.31298 5.41738 5.47316 5.49337 5.52301 5.58547 5.69539 5.72532 5.79133 5.90516 5.92877 5.94677 6.00001 6.01326 6.03923 6.12558 6.16378 6.21355 6.23133 6.30571 6.43829 6.45041 6.47096 6.63322 6.69646 6.75031 6.89535 7.42665 7.76966 8.02281 8.60124 8.79353 9.18031 9.51405 10.15206 10.24407 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.009354 B = 0.003573 C = 0.003319 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2992.701808 B = 7835.630768 C = 8434.366782 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.151 4.151 2 C -0.121 4.121 3 C -0.122 4.122 4 C 0.087 3.913 5 O -0.372 6.372 6 C 0.648 3.352 7 O -0.576 6.576 8 N -0.682 5.682 9 C 0.184 3.816 10 H 0.100 0.900 11 C 0.403 3.597 12 O -0.566 6.566 13 N -0.405 5.405 14 C -0.490 4.490 15 H 0.097 0.903 16 C 0.217 3.783 17 N -0.701 5.701 18 Si 0.788 3.212 19 H -0.265 1.265 20 H -0.274 1.274 21 H -0.285 1.285 22 C 0.102 3.898 23 C -0.136 4.136 24 C -0.121 4.121 25 C -0.150 4.150 26 C -0.153 4.153 27 C -0.170 4.170 28 C -0.188 4.188 29 H 0.056 0.944 30 H 0.056 0.944 31 H 0.055 0.945 32 H 0.065 0.935 33 H 0.065 0.935 34 H 0.074 0.926 35 H 0.074 0.926 36 H 0.068 0.932 37 H 0.069 0.931 38 H 0.415 0.585 39 H 0.278 0.722 40 H 0.071 0.929 41 H 0.064 0.936 42 H 0.055 0.945 43 H 0.072 0.928 44 H 0.061 0.939 45 H 0.059 0.941 46 H 0.052 0.948 47 H 0.048 0.952 48 H 0.051 0.949 49 H 0.114 0.886 50 H 0.089 0.911 51 H 0.090 0.910 52 H 0.115 0.885 53 H 0.087 0.913 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -5.578 -15.213 3.489 16.575 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 -0.209 4.209 2 C -0.159 4.159 3 C -0.159 4.159 4 C 0.012 3.988 5 O -0.287 6.287 6 C 0.401 3.599 7 O -0.466 6.466 8 N -0.342 5.342 9 C 0.076 3.924 10 H 0.117 0.883 11 C 0.193 3.807 12 O -0.452 6.452 13 N -0.122 5.122 14 C -0.605 4.605 15 H 0.115 0.885 16 C -0.014 4.014 17 N -0.320 5.320 18 Si 0.607 3.393 19 H -0.189 1.189 20 H -0.200 1.200 21 H -0.212 1.212 22 C -0.023 4.023 23 C -0.174 4.174 24 C -0.159 4.159 25 C -0.208 4.208 26 C -0.173 4.173 27 C -0.208 4.208 28 C -0.225 4.225 29 H 0.075 0.925 30 H 0.075 0.925 31 H 0.075 0.925 32 H 0.084 0.916 33 H 0.084 0.916 34 H 0.093 0.907 35 H 0.093 0.907 36 H 0.087 0.913 37 H 0.087 0.913 38 H 0.253 0.747 39 H 0.089 0.911 40 H 0.089 0.911 41 H 0.082 0.918 42 H 0.074 0.926 43 H 0.091 0.909 44 H 0.079 0.921 45 H 0.078 0.922 46 H 0.072 0.928 47 H 0.068 0.932 48 H 0.070 0.930 49 H 0.132 0.868 50 H 0.108 0.892 51 H 0.109 0.891 52 H 0.133 0.867 53 H 0.105 0.895 Dipole moment (debyes) X Y Z Total from point charges -5.620 -15.006 3.608 16.425 hybrid contribution -0.824 0.057 -0.920 1.237 sum -6.444 -14.949 2.688 16.499 Atomic orbital electron populations 1.21750 0.95206 1.01779 1.02130 1.21422 0.96320 0.95561 1.02557 1.21634 0.92656 0.97776 1.03879 1.22948 0.94101 0.79077 1.02635 1.86238 1.22505 1.32689 1.87231 1.18047 0.80851 0.84604 0.76392 1.90894 1.59476 1.39836 1.56420 1.44571 1.08115 1.05474 1.75999 1.20297 0.77892 0.99025 0.95192 0.88273 1.19317 0.86199 0.88677 0.86468 1.90534 1.47954 1.42536 1.64180 1.43332 1.12445 1.11671 1.44710 1.17949 0.93888 0.96017 1.52664 0.88524 1.24793 0.92111 0.90727 0.93766 1.70668 1.21217 1.12012 1.28112 0.88285 0.82949 0.80439 0.87611 1.18877 1.19961 1.21170 1.21645 0.94258 0.89762 0.96606 1.22034 0.98606 0.96776 1.00005 1.21476 0.99392 0.97274 0.97790 1.21755 1.01274 0.99610 0.98138 1.22578 1.01051 1.01901 0.91794 1.22839 0.97457 1.01623 0.98838 1.23377 1.03373 0.92554 1.03215 0.92524 0.92525 0.92539 0.91582 0.91583 0.90733 0.90731 0.91319 0.91284 0.74702 0.91132 0.91106 0.91762 0.92609 0.90902 0.92072 0.92207 0.92849 0.93245 0.92976 0.86844 0.89242 0.89126 0.86697 0.89495 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 24. 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 -0.15 -1.00 9.91 37.16 0.37 -0.63 16 2 C -0.12 -0.90 5.93 -26.73 -0.16 -1.06 16 3 C -0.12 -1.14 5.59 -26.73 -0.15 -1.29 16 4 C 0.09 1.06 5.47 37.16 0.20 1.26 16 5 O -0.37 -5.84 10.27 -40.33 -0.41 -6.25 16 6 C 0.65 11.56 7.58 54.06 0.41 11.97 16 7 O -0.58 -10.87 13.15 -19.28 -0.25 -11.12 16 8 N -0.68 -12.91 3.61 -59.86 -0.22 -13.13 16 9 C 0.18 3.62 1.98 -69.08 -0.14 3.48 16 10 H 0.10 1.96 5.43 -51.93 -0.28 1.68 16 11 C 0.40 9.64 6.42 -10.99 -0.07 9.57 16 12 O -0.57 -15.49 12.94 5.54 0.07 -15.41 16 13 N -0.40 -9.61 2.62 -114.82 -0.30 -9.91 16 14 C -0.49 -13.13 9.41 -14.93 -0.14 -13.27 16 15 H 0.10 2.61 8.06 -52.49 -0.42 2.19 16 16 C 0.22 5.96 3.07 -17.47 -0.05 5.91 16 17 N -0.70 -19.50 13.61 55.50 0.76 -18.75 16 18 Si 0.79 20.17 28.50 -169.99 -4.84 15.33 16 19 H -0.26 -6.82 7.11 56.52 0.40 -6.42 16 20 H -0.27 -7.34 7.11 56.52 0.40 -6.94 16 21 H -0.29 -7.06 7.11 56.52 0.40 -6.66 16 22 C 0.10 1.91 4.97 -4.04 -0.02 1.89 16 23 C -0.14 -2.35 5.38 -26.73 -0.14 -2.49 16 24 C -0.12 -1.66 5.93 -26.73 -0.16 -1.81 16 25 C -0.15 -1.89 9.91 37.16 0.37 -1.52 16 26 C -0.15 -2.70 4.94 -90.61 -0.45 -3.15 16 27 C -0.17 -2.74 9.73 -26.73 -0.26 -3.00 16 28 C -0.19 -2.93 9.82 -26.73 -0.26 -3.19 16 29 H 0.06 0.37 8.14 -51.93 -0.42 -0.05 16 30 H 0.06 0.33 8.14 -51.93 -0.42 -0.10 16 31 H 0.06 0.36 8.14 -51.93 -0.42 -0.06 16 32 H 0.07 0.48 8.14 -51.93 -0.42 0.05 16 33 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 34 H 0.07 0.69 8.14 -51.93 -0.42 0.26 16 35 H 0.07 0.71 8.14 -51.93 -0.42 0.29 16 36 H 0.07 0.83 8.14 -51.93 -0.42 0.41 16 37 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 38 H 0.42 8.10 7.92 -40.82 -0.32 7.77 16 39 H 0.28 7.19 8.32 -40.82 -0.34 6.85 16 40 H 0.07 1.27 8.07 -51.93 -0.42 0.85 16 41 H 0.06 1.09 5.74 -51.93 -0.30 0.79 16 42 H 0.06 1.03 7.37 -51.93 -0.38 0.65 16 43 H 0.07 1.38 8.14 -51.93 -0.42 0.95 16 44 H 0.06 0.77 8.14 -51.93 -0.42 0.35 16 45 H 0.06 0.78 8.14 -51.93 -0.42 0.35 16 46 H 0.05 0.67 8.14 -51.93 -0.42 0.24 16 47 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 48 H 0.05 0.67 8.14 -51.93 -0.42 0.25 16 49 H 0.11 2.01 7.93 -51.93 -0.41 1.60 16 50 H 0.09 1.31 8.14 -51.93 -0.42 0.89 16 51 H 0.09 1.51 6.66 -51.93 -0.35 1.16 16 52 H 0.12 1.95 5.02 -51.93 -0.26 1.69 16 53 H 0.09 1.18 8.14 -51.93 -0.42 0.75 16 LS Contribution 421.00 15.07 6.34 6.34 Total: -1.00 -30.91 421.00 -8.98 -39.88 By element: Atomic # 1 Polarization: 19.81 SS G_CDS: -9.47 Total: 10.34 kcal Atomic # 6 Polarization: 3.32 SS G_CDS: -0.65 Total: 2.67 kcal Atomic # 7 Polarization: -42.02 SS G_CDS: 0.24 Total: -41.79 kcal Atomic # 8 Polarization: -32.19 SS G_CDS: -0.60 Total: -32.79 kcal Atomic # 14 Polarization: 20.17 SS G_CDS: -4.84 Total: 15.33 kcal Total LS contribution 6.34 Total: 6.34 kcal Total: -30.91 -8.98 -39.88 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. ZINC001186293225.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 -45.388 kcal (2) G-P(sol) polarization free energy of solvation -30.905 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -76.293 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.978 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.883 kcal (6) G-S(sol) free energy of system = (1) + (5) -85.271 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.88 seconds