Wall clock time and date at job start Sat Apr 11 2020 06:13:19 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 1.53004 * 109.46769 * 2 1 4 4 H 1.08995 * 109.48200 * 304.98075 * 3 2 1 5 5 C 1.53087 * 109.48902 * 184.95152 * 3 2 1 6 6 C 1.53181 * 109.16473 * 182.40593 * 5 3 2 7 7 H 1.09001 * 109.61435 * 176.89118 * 6 5 3 8 8 C 1.50699 * 109.53817 * 297.11053 * 6 5 3 9 9 O 1.21280 * 120.00416 * 359.56114 * 8 6 5 10 10 N 1.34775 * 119.99542 * 179.55147 * 8 6 5 11 11 C 1.46504 * 120.00162 * 180.27780 * 10 8 6 12 12 C 1.52998 * 109.47199 * 176.46844 * 11 10 8 13 13 N 1.46496 * 109.54341 * 305.05102 * 12 11 10 14 14 C 1.36939 * 120.00256 * 301.59773 * 13 12 11 15 15 H 1.07997 * 120.00004 * 353.42315 * 14 13 12 16 16 C 1.38807 * 120.00159 * 173.42132 * 14 13 12 17 17 N 1.31620 * 120.00402 * 179.97438 * 16 14 13 18 18 Si 1.86805 * 120.00226 * 359.97438 * 16 14 13 19 19 H 1.48506 * 109.46948 * 89.99714 * 18 16 14 20 20 H 1.48489 * 109.47301 * 209.99920 * 18 16 14 21 21 H 1.48495 * 109.46753 * 330.00360 * 18 16 14 22 22 C 1.53179 * 109.53964 * 184.87994 * 12 11 10 23 23 C 1.53111 * 109.15360 * 183.24037 * 22 12 11 24 24 O 1.42904 * 109.48759 * 57.47374 * 23 22 12 25 25 C 1.42906 * 114.09436 * 298.88493 * 24 23 22 26 26 C 1.53090 * 109.41085 * 61.16225 * 25 24 23 27 27 C 1.53172 * 109.03497 * 56.97872 * 6 5 3 28 28 C 1.53096 * 109.16478 * 303.02331 * 27 6 5 29 29 O 1.42896 * 109.41422 * 57.60885 * 28 27 6 30 30 H 1.08999 * 109.47031 * 299.99140 * 1 2 3 31 31 H 1.08996 * 109.47699 * 59.99780 * 1 2 3 32 32 H 1.09005 * 109.47107 * 180.02562 * 1 2 3 33 33 H 1.09004 * 109.46602 * 240.00864 * 2 1 3 34 34 H 1.08990 * 109.47486 * 120.00612 * 2 1 3 35 35 H 1.08997 * 109.52526 * 62.49843 * 5 3 2 36 36 H 1.09009 * 109.52143 * 302.31004 * 5 3 2 37 37 H 0.97006 * 120.00109 * 0.02562 * 10 8 6 38 38 H 1.09000 * 109.46776 * 296.46740 * 11 10 8 39 39 H 1.09003 * 109.46815 * 56.46401 * 11 10 8 40 40 H 0.97002 * 120.00178 * 121.59580 * 13 12 11 41 41 H 0.96996 * 120.00403 * 180.02562 * 17 16 14 42 42 H 1.08998 * 109.52182 * 303.05053 * 22 12 11 43 43 H 1.08994 * 109.52447 * 63.24676 * 22 12 11 44 44 H 1.08993 * 109.40733 * 297.48755 * 23 22 12 45 45 H 1.09000 * 109.48043 * 177.50278 * 23 22 12 46 46 H 1.08992 * 109.48003 * 301.17645 * 25 24 23 47 47 H 1.09001 * 109.48451 * 181.15151 * 25 24 23 48 48 H 1.09003 * 109.51971 * 182.48178 * 26 25 24 49 49 H 1.08997 * 109.57748 * 62.33067 * 26 25 24 50 50 H 1.09006 * 109.52250 * 62.92523 * 27 6 5 51 51 H 1.09005 * 109.52463 * 183.11406 * 27 6 5 52 52 H 1.08995 * 109.47837 * 177.59524 * 28 27 6 53 53 H 1.08999 * 109.47809 * 297.62603 * 28 27 6 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 1.4426 0.0000 4 1 1.6057 1.9816 -0.8419 5 6 3.5657 1.4449 -0.1246 6 6 4.0730 2.8890 -0.0633 7 1 5.1625 2.8958 -0.0959 8 6 3.5288 3.6645 -1.2353 9 8 2.8125 3.1157 -2.0456 10 7 3.8379 4.9680 -1.3827 11 6 3.3040 5.7236 -2.5186 12 6 3.7312 7.1881 -2.4030 13 7 3.3164 7.7184 -1.1019 14 6 1.9940 7.7037 -0.7465 15 1 1.2455 7.4008 -1.4636 16 6 1.6157 8.0781 0.5354 17 7 0.3446 8.0645 0.8769 18 14 2.9104 8.6014 1.7762 19 1 3.1250 10.0676 1.6792 20 1 2.4510 8.2578 3.1458 21 1 4.1846 7.8947 1.4896 22 6 3.0745 8.0032 -3.5214 23 6 3.5708 9.4497 -3.4468 24 8 4.9963 9.4703 -3.5458 25 6 5.6642 8.7642 -2.4982 26 6 5.2537 7.2899 -2.5361 27 6 3.5954 3.5313 1.2426 28 6 2.0683 3.4484 1.3144 29 8 1.6620 2.0816 1.2211 30 1 -0.3633 0.5137 0.8901 31 1 -0.3634 0.5138 -0.8899 32 1 -0.3633 -1.0277 0.0005 33 1 1.8933 -0.5137 -0.8901 34 1 1.8934 -0.5139 0.8898 35 1 3.8543 0.9975 -1.0757 36 1 3.9990 0.8716 0.6951 37 1 4.4110 5.4069 -0.7346 38 1 3.6906 5.3045 -3.4476 39 1 2.2157 5.6613 -2.5171 40 1 3.9785 8.0800 -0.4921 41 1 0.0802 8.3265 1.7726 42 1 3.3424 7.5770 -4.4882 43 1 1.9915 7.9816 -3.4002 44 1 3.2660 9.8886 -2.4968 45 1 3.1411 10.0243 -4.2673 46 1 5.3868 9.1942 -1.5358 47 1 6.7425 8.8451 -2.6352 48 1 5.7278 6.7585 -1.7108 49 1 5.5671 6.8477 -3.4818 50 1 4.0292 3.0001 2.0898 51 1 3.9051 4.5761 1.2692 52 1 1.7258 3.8657 2.2612 53 1 1.6345 4.0137 0.4896 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 ZINC001716909021.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 06:13:19 Heat of formation + Delta-G solvation = -131.482642 kcal Electronic energy + Delta-G solvation = -32980.624060 eV Core-core repulsion = 28851.960286 eV Total energy + Delta-G solvation = -4128.663774 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.23 seconds Orbital eigenvalues (eV) -40.47831 -39.47969 -37.95512 -35.97807 -34.11412 -33.44899 -33.33786 -32.18327 -30.82254 -29.90973 -29.61164 -27.27861 -25.38074 -23.94442 -23.53950 -23.14739 -22.44497 -21.44236 -20.91000 -19.36774 -18.53830 -17.91711 -16.58243 -16.16110 -16.15018 -15.77723 -15.64759 -15.48141 -15.05164 -14.65954 -14.50710 -14.31871 -14.05897 -13.63522 -13.59035 -13.46373 -13.21745 -13.11242 -12.82389 -12.54322 -12.47054 -12.07954 -12.00445 -11.92343 -11.70412 -11.59522 -11.44724 -11.10063 -11.04452 -11.00875 -10.98499 -10.78666 -10.47219 -10.45742 -10.23567 -10.09860 -9.93745 -9.72924 -9.48679 -9.22662 -8.99674 -8.92406 -8.50613 -7.46030 -5.89055 -3.28168 2.98168 3.19283 3.24464 3.33496 3.60626 4.05854 4.19801 4.43763 4.66280 4.85991 4.87106 4.93694 5.03055 5.06599 5.12266 5.21228 5.30089 5.33136 5.38686 5.40372 5.50903 5.55111 5.55551 5.57222 5.72807 5.80617 5.81638 5.91288 5.93243 5.95698 5.98756 5.99514 6.04202 6.09495 6.10350 6.12772 6.20674 6.24353 6.27040 6.39660 6.42484 6.47072 6.50476 6.56722 6.64799 6.94570 7.53482 7.56164 7.83189 7.94314 8.28048 8.62295 9.03633 9.75480 9.93616 11.28289 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.012086 B = 0.004251 C = 0.003641 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2316.164012 B = 6584.583392 C = 7688.577887 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.149 4.149 2 C -0.111 4.111 3 C 0.078 3.922 4 H 0.086 0.914 5 C -0.125 4.125 6 C -0.112 4.112 7 H 0.094 0.906 8 C 0.514 3.486 9 O -0.548 6.548 10 N -0.700 5.700 11 C 0.121 3.879 12 C 0.196 3.804 13 N -0.738 5.738 14 C -0.241 4.241 15 H 0.091 0.909 16 C 0.014 3.986 17 N -0.925 5.925 18 Si 0.873 3.127 19 H -0.285 1.285 20 H -0.291 1.291 21 H -0.278 1.278 22 C -0.153 4.153 23 C 0.069 3.931 24 O -0.391 6.391 25 C 0.066 3.934 26 C -0.155 4.155 27 C -0.145 4.145 28 C 0.061 3.939 29 O -0.382 6.382 30 H 0.061 0.939 31 H 0.053 0.947 32 H 0.049 0.951 33 H 0.071 0.929 34 H 0.063 0.937 35 H 0.076 0.924 36 H 0.071 0.929 37 H 0.397 0.603 38 H 0.052 0.948 39 H 0.073 0.927 40 H 0.360 0.640 41 H 0.260 0.740 42 H 0.058 0.942 43 H 0.082 0.918 44 H 0.065 0.935 45 H 0.082 0.918 46 H 0.050 0.950 47 H 0.084 0.916 48 H 0.068 0.932 49 H 0.075 0.925 50 H 0.077 0.923 51 H 0.079 0.921 52 H 0.095 0.905 53 H 0.061 0.939 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 10.120 -8.792 -2.909 13.717 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 -0.206 4.206 2 C -0.149 4.149 3 C 0.021 3.979 4 H 0.104 0.896 5 C -0.163 4.163 6 C -0.133 4.133 7 H 0.112 0.888 8 C 0.300 3.700 9 O -0.427 6.427 10 N -0.350 5.350 11 C -0.005 4.005 12 C 0.104 3.896 13 N -0.382 5.382 14 C -0.371 4.371 15 H 0.109 0.891 16 C -0.182 4.182 17 N -0.572 5.572 18 Si 0.704 3.296 19 H -0.212 1.212 20 H -0.217 1.217 21 H -0.204 1.204 22 C -0.194 4.194 23 C -0.008 4.008 24 O -0.310 6.310 25 C -0.011 4.011 26 C -0.193 4.193 27 C -0.183 4.183 28 C -0.015 4.015 29 O -0.301 6.301 30 H 0.080 0.920 31 H 0.072 0.928 32 H 0.068 0.932 33 H 0.090 0.910 34 H 0.082 0.918 35 H 0.095 0.905 36 H 0.090 0.910 37 H 0.232 0.768 38 H 0.071 0.929 39 H 0.091 0.909 40 H 0.194 0.806 41 H 0.070 0.930 42 H 0.077 0.923 43 H 0.101 0.899 44 H 0.083 0.917 45 H 0.101 0.899 46 H 0.069 0.931 47 H 0.102 0.898 48 H 0.086 0.914 49 H 0.093 0.907 50 H 0.095 0.905 51 H 0.098 0.902 52 H 0.113 0.887 53 H 0.080 0.920 Dipole moment (debyes) X Y Z Total from point charges 9.333 -9.201 -3.473 13.558 hybrid contribution 1.147 0.770 1.469 2.016 sum 10.479 -8.431 -2.004 13.598 Atomic orbital electron populations 1.21704 0.95411 1.00933 1.02594 1.21491 0.96695 0.94807 1.01889 1.22386 0.93075 0.94097 0.88348 0.89641 1.21958 0.97395 0.94339 1.02582 1.21401 1.01452 0.96227 0.94209 0.88774 1.20424 0.80765 0.82381 0.86408 1.90614 1.37738 1.69490 1.44871 1.45726 1.51146 1.09599 1.28509 1.21739 0.99968 0.91659 0.87094 1.19788 0.91331 0.90920 0.87518 1.42840 1.06389 1.73740 1.15183 1.18874 0.82437 1.39049 0.96726 0.89091 1.24633 0.95352 1.01479 0.96760 1.69681 1.14041 1.53552 1.19895 0.86757 0.81684 0.78779 0.82401 1.21188 1.21735 1.20449 1.22466 1.02477 0.96446 0.97980 1.22479 0.79812 0.96313 1.02163 1.87829 1.19583 1.74322 1.49233 1.22442 0.96421 0.91046 0.91198 1.22411 0.96634 0.97794 1.02503 1.22171 0.98286 1.01683 0.96124 1.22528 0.92779 0.82968 1.03251 1.87852 1.78829 1.24692 1.38720 0.91953 0.92762 0.93230 0.91032 0.91795 0.90537 0.91032 0.76809 0.92945 0.90855 0.80623 0.92975 0.92318 0.89921 0.91685 0.89944 0.93127 0.89762 0.91362 0.90677 0.90453 0.90226 0.88691 0.92042 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 -0.15 -1.88 9.81 37.16 0.36 -1.51 16 2 C -0.11 -1.40 5.64 -26.73 -0.15 -1.55 16 3 C 0.08 1.18 2.35 -26.68 -0.06 1.12 16 4 H 0.09 1.55 5.82 -51.93 -0.30 1.25 16 5 C -0.12 -1.63 4.56 -26.59 -0.12 -1.75 16 6 C -0.11 -1.50 3.04 -91.59 -0.28 -1.77 16 7 H 0.09 1.03 8.14 -51.93 -0.42 0.60 16 8 C 0.51 8.46 5.82 -10.99 -0.06 8.39 16 9 O -0.55 -10.62 13.85 5.56 0.08 -10.54 16 10 N -0.70 -11.16 5.04 -60.29 -0.30 -11.46 16 11 C 0.12 2.06 4.31 -4.04 -0.02 2.04 16 12 C 0.20 3.18 0.41 -131.64 -0.05 3.13 16 13 N -0.74 -14.32 3.56 -47.07 -0.17 -14.49 16 14 C -0.24 -5.84 9.18 -15.06 -0.14 -5.98 16 15 H 0.09 2.47 6.99 -52.49 -0.37 2.10 16 16 C 0.01 0.38 5.50 -17.43 -0.10 0.28 16 17 N -0.93 -26.89 13.97 55.49 0.78 -26.12 16 18 Si 0.87 19.90 27.67 -169.99 -4.70 15.19 16 19 H -0.29 -6.64 7.11 56.52 0.40 -6.24 16 20 H -0.29 -6.93 7.11 56.52 0.40 -6.52 16 21 H -0.28 -5.73 6.62 56.52 0.37 -5.35 16 22 C -0.15 -2.47 4.84 -26.58 -0.13 -2.60 16 23 C 0.07 1.09 6.68 37.21 0.25 1.34 16 24 O -0.39 -6.14 10.77 -35.23 -0.38 -6.52 16 25 C 0.07 0.91 6.67 37.20 0.25 1.16 16 26 C -0.16 -2.09 4.80 -26.60 -0.13 -2.22 16 27 C -0.14 -2.01 5.56 -26.59 -0.15 -2.16 16 28 C 0.06 1.03 6.62 37.21 0.25 1.28 16 29 O -0.38 -6.36 9.94 -35.23 -0.35 -6.71 16 30 H 0.06 0.85 7.82 -51.93 -0.41 0.45 16 31 H 0.05 0.71 8.14 -51.93 -0.42 0.29 16 32 H 0.05 0.52 8.14 -51.93 -0.42 0.10 16 33 H 0.07 0.80 8.14 -51.93 -0.42 0.38 16 34 H 0.06 0.75 8.14 -51.93 -0.42 0.33 16 35 H 0.08 0.98 8.02 -51.93 -0.42 0.56 16 36 H 0.07 0.82 8.14 -51.92 -0.42 0.40 16 37 H 0.40 5.92 6.70 -40.82 -0.27 5.65 16 38 H 0.05 0.84 8.14 -51.93 -0.42 0.42 16 39 H 0.07 1.49 7.51 -51.93 -0.39 1.10 16 40 H 0.36 6.98 4.63 -40.82 -0.19 6.79 16 41 H 0.26 7.33 8.31 -40.82 -0.34 6.99 16 42 H 0.06 0.86 8.14 -51.93 -0.42 0.43 16 43 H 0.08 1.48 7.16 -51.93 -0.37 1.11 16 44 H 0.06 1.17 7.75 -51.93 -0.40 0.77 16 45 H 0.08 1.17 8.14 -51.93 -0.42 0.74 16 46 H 0.05 0.75 7.07 -51.93 -0.37 0.38 16 47 H 0.08 0.96 8.14 -51.93 -0.42 0.54 16 48 H 0.07 0.84 7.22 -51.93 -0.38 0.47 16 49 H 0.07 0.95 8.14 -51.93 -0.42 0.53 16 50 H 0.08 0.94 8.14 -51.93 -0.42 0.52 16 51 H 0.08 1.13 7.50 -51.93 -0.39 0.74 16 52 H 0.09 1.56 8.14 -51.93 -0.42 1.14 16 53 H 0.06 1.23 7.38 -51.93 -0.38 0.85 16 LS Contribution 397.15 15.07 5.99 5.99 Total: -1.00 -29.32 397.15 -8.64 -37.96 By element: Atomic # 1 Polarization: 26.81 SS G_CDS: -9.29 Total: 17.52 kcal Atomic # 6 Polarization: -0.53 SS G_CDS: -0.28 Total: -0.81 kcal Atomic # 7 Polarization: -52.38 SS G_CDS: 0.30 Total: -52.07 kcal Atomic # 8 Polarization: -23.12 SS G_CDS: -0.65 Total: -23.77 kcal Atomic # 14 Polarization: 19.90 SS G_CDS: -4.70 Total: 15.19 kcal Total LS contribution 5.99 Total: 5.99 kcal Total: -29.32 -8.64 -37.96 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. ZINC001716909021.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 -93.523 kcal (2) G-P(sol) polarization free energy of solvation -29.321 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -122.844 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.639 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -37.960 kcal (6) G-S(sol) free energy of system = (1) + (5) -131.483 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.23 seconds