Wall clock time and date at job start Tue Mar 31 2020 23:20:16 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 O 1.45202 * 1 3 3 C 1.34230 * 116.99451 * 2 1 4 4 O 1.20823 * 120.00019 * 0.02562 * 3 2 1 5 5 C 1.50701 * 119.99732 * 179.97438 * 3 2 1 6 6 C 1.53002 * 109.47138 * 179.97438 * 5 3 2 7 7 N 1.46495 * 109.46960 * 180.02562 * 6 5 3 8 8 C 1.36938 * 120.00267 * 265.52453 * 7 6 5 9 9 H 1.07997 * 119.99692 * 16.18488 * 8 7 6 10 10 C 1.38811 * 120.00331 * 196.17559 * 8 7 6 11 11 N 1.31614 * 119.99940 * 7.96452 * 10 8 7 12 12 Si 1.86795 * 120.00012 * 187.96843 * 10 8 7 13 13 H 1.48498 * 109.47650 * 90.00103 * 12 10 8 14 14 H 1.48503 * 109.47183 * 209.99975 * 12 10 8 15 15 H 1.48503 * 109.47505 * 329.99952 * 12 10 8 16 16 C 1.46500 * 120.00112 * 85.53689 * 7 6 5 17 17 C 1.50696 * 109.47738 * 89.99338 * 16 7 6 18 18 O 1.21286 * 119.99778 * 359.97438 * 17 16 7 19 19 N 1.34775 * 120.00281 * 180.02562 * 17 16 7 20 20 C 1.46497 * 119.99976 * 1.45580 * 19 17 16 21 21 C 1.46506 * 119.99967 * 181.45181 * 19 17 16 22 22 H 1.09004 * 109.46627 * 50.52555 * 21 19 17 23 23 C 1.52993 * 109.47142 * 170.52340 * 21 19 17 24 24 C 1.53006 * 109.47022 * 59.99936 * 23 21 19 25 25 C 1.52999 * 109.46768 * 60.00315 * 24 23 21 26 26 C 1.53007 * 109.47080 * 299.99712 * 25 24 23 27 27 C 1.52995 * 109.47016 * 290.52714 * 21 19 17 28 28 H 1.09001 * 109.46852 * 180.02562 * 27 21 19 29 29 C 1.52999 * 109.47381 * 60.00127 * 27 21 19 30 30 H 1.09004 * 109.47480 * 299.99374 * 1 2 3 31 31 H 1.09001 * 109.47011 * 179.97438 * 1 2 3 32 32 H 1.09003 * 109.47590 * 60.00300 * 1 2 3 33 33 H 1.08994 * 109.47062 * 300.00086 * 5 3 2 34 34 H 1.09006 * 109.46804 * 60.00333 * 5 3 2 35 35 H 1.09001 * 109.47186 * 300.00752 * 6 5 3 36 36 H 1.09006 * 109.46802 * 60.00576 * 6 5 3 37 37 H 0.97001 * 120.00443 * 179.97438 * 11 10 8 38 38 H 1.08995 * 109.47440 * 209.99841 * 16 7 6 39 39 H 1.09007 * 109.46399 * 329.99345 * 16 7 6 40 40 H 1.08993 * 109.47272 * 91.33599 * 20 19 17 41 41 H 1.09004 * 109.46882 * 211.34418 * 20 19 17 42 42 H 1.09007 * 109.46986 * 331.33573 * 20 19 17 43 43 H 1.08994 * 109.47473 * 180.02562 * 23 21 19 44 44 H 1.09004 * 109.47220 * 300.00774 * 23 21 19 45 45 H 1.08998 * 109.46887 * 179.97438 * 24 23 21 46 46 H 1.09001 * 109.47169 * 300.00248 * 24 23 21 47 47 H 1.08995 * 109.47704 * 59.99867 * 25 24 23 48 48 H 1.09005 * 109.46932 * 180.02562 * 25 24 23 49 49 H 1.08996 * 109.47038 * 180.02562 * 26 25 24 50 50 H 1.08998 * 109.46581 * 300.00274 * 26 25 24 51 51 H 1.08999 * 109.47333 * 55.54516 * 29 27 21 52 52 H 1.09009 * 109.46986 * 175.54399 * 29 27 21 53 53 H 1.09004 * 109.47120 * 295.53735 * 29 27 21 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 8 1.4520 0.0000 0.0000 3 6 2.0613 1.1961 0.0000 4 8 1.4032 2.2093 0.0005 5 6 3.5662 1.2750 0.0006 6 6 4.0000 2.7422 -0.0002 7 7 5.4629 2.8189 -0.0002 8 6 6.1419 2.9478 1.1820 9 1 5.6446 2.7336 2.1164 10 6 7.4694 3.3536 1.1793 11 7 8.0297 3.7646 0.0616 12 14 8.4605 3.3163 2.7622 13 1 9.1236 1.9947 2.9001 14 1 9.4905 4.3855 2.7267 15 1 7.5556 3.5390 3.9184 16 6 6.1996 2.7580 -1.2651 17 6 6.3780 4.1516 -1.8103 18 8 5.9331 5.1021 -1.2024 19 7 7.0310 4.3415 -2.9739 20 6 7.5395 3.1910 -3.7247 21 6 7.2321 5.6986 -3.4879 22 1 7.6556 6.3253 -2.7029 23 6 8.1911 5.6558 -4.6792 24 6 7.5968 4.7760 -5.7809 25 6 6.2536 5.3565 -6.2280 26 6 5.2946 5.3993 -5.0366 27 6 5.8890 6.2790 -3.9349 28 1 6.0387 7.2885 -4.3177 29 6 4.9300 6.3218 -2.7434 30 1 -0.3634 0.5137 0.8901 31 1 -0.3633 -1.0277 -0.0005 32 1 -0.3634 0.5138 -0.8900 33 1 3.9556 0.7811 0.8908 34 1 3.9563 0.7807 -0.8892 35 1 3.6105 3.2358 -0.8906 36 1 3.6099 3.2369 0.8894 37 1 8.9572 4.0485 0.0597 38 1 7.1770 2.3066 -1.0950 39 1 5.6412 2.1561 -1.9820 40 1 6.7842 2.8595 -4.4372 41 1 8.4439 3.4782 -4.2611 42 1 7.7690 2.3792 -3.0343 43 1 8.3412 6.6655 -5.0613 44 1 9.1480 5.2422 -4.3607 45 1 8.2798 4.7459 -6.6298 46 1 7.4470 3.7663 -5.3985 47 1 6.4032 6.3661 -6.6104 48 1 5.8299 4.7295 -7.0126 49 1 4.3376 5.8124 -5.3552 50 1 5.1449 4.3896 -4.6542 51 1 5.3876 6.8829 -1.9287 52 1 4.0009 6.8075 -3.0421 53 1 4.7181 5.3056 -2.4109 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 ZINC000879474330.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 23:20:16 Heat of formation + Delta-G solvation = -50.662053 kcal Electronic energy + Delta-G solvation = -32855.504618 eV Core-core repulsion = 28730.345488 eV Total energy + Delta-G solvation = -4125.159130 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.45 seconds Orbital eigenvalues (eV) -40.19577 -40.09715 -37.36691 -36.34620 -35.24574 -33.85227 -32.22239 -32.04055 -30.25689 -29.70316 -27.57855 -26.91034 -26.61387 -24.92031 -24.32360 -22.12677 -21.37312 -20.97790 -20.15591 -19.51520 -17.86256 -17.37131 -16.67798 -16.28224 -16.26016 -15.90767 -15.76896 -14.86553 -14.71627 -14.19287 -14.12121 -14.01311 -13.65203 -13.46150 -13.19257 -13.06383 -12.80031 -12.60631 -12.39805 -12.13966 -12.07350 -11.86307 -11.66208 -11.55217 -11.46788 -11.36584 -11.06619 -11.00435 -10.90465 -10.81863 -10.65314 -10.46704 -10.35135 -10.15351 -10.01750 -9.92860 -9.89792 -9.82049 -9.56402 -9.44852 -8.70765 -8.02587 -7.30764 -6.86461 -5.78581 -3.18260 2.54697 2.99455 3.37987 3.45637 3.46573 4.03989 4.34268 4.54609 4.99318 5.02138 5.06029 5.11290 5.15319 5.21097 5.40973 5.44063 5.49106 5.51611 5.58291 5.66607 5.67454 5.73654 5.75720 5.79988 5.85328 5.88424 5.95080 5.99219 6.16432 6.18185 6.22732 6.24881 6.28015 6.32450 6.46100 6.49777 6.58196 6.59793 6.61016 6.65237 6.75452 6.77158 6.96374 7.00713 7.26101 7.41143 7.69000 7.72484 8.06056 8.28058 8.69424 9.16950 9.74128 9.93682 10.22867 11.28475 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.008290 B = 0.004718 C = 0.003349 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 3376.805528 B = 5933.856285 C = 8358.164856 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.035 3.965 2 O -0.367 6.367 3 C 0.462 3.538 4 O -0.511 6.511 5 C -0.134 4.134 6 C 0.165 3.835 7 N -0.572 5.572 8 C -0.244 4.244 9 H 0.075 0.925 10 C 0.003 3.997 11 N -0.906 5.906 12 Si 0.914 3.086 13 H -0.290 1.290 14 H -0.293 1.293 15 H -0.282 1.282 16 C 0.168 3.832 17 C 0.529 3.471 18 O -0.513 6.513 19 N -0.619 5.619 20 C 0.083 3.917 21 C 0.162 3.838 22 H 0.068 0.932 23 C -0.122 4.122 24 C -0.160 4.160 25 C -0.114 4.114 26 C -0.109 4.109 27 C -0.096 4.096 28 H 0.058 0.942 29 C -0.135 4.135 30 H 0.059 0.941 31 H 0.095 0.905 32 H 0.059 0.941 33 H 0.104 0.896 34 H 0.096 0.904 35 H 0.044 0.956 36 H 0.060 0.940 37 H 0.253 0.747 38 H 0.111 0.889 39 H 0.024 0.976 40 H 0.043 0.957 41 H 0.067 0.933 42 H 0.066 0.934 43 H 0.064 0.936 44 H 0.065 0.935 45 H 0.052 0.948 46 H 0.104 0.896 47 H 0.052 0.948 48 H 0.053 0.947 49 H 0.050 0.950 50 H 0.063 0.937 51 H 0.065 0.935 52 H 0.013 0.987 53 H 0.083 0.917 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -4.207 -4.728 -11.020 12.708 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 -0.060 4.060 2 O -0.284 6.284 3 C 0.305 3.695 4 O -0.398 6.398 5 C -0.175 4.175 6 C 0.037 3.963 7 N -0.291 5.291 8 C -0.373 4.373 9 H 0.093 0.907 10 C -0.193 4.193 11 N -0.553 5.553 12 Si 0.744 3.256 13 H -0.217 1.217 14 H -0.219 1.219 15 H -0.207 1.207 16 C 0.039 3.961 17 C 0.318 3.682 18 O -0.387 6.387 19 N -0.358 5.358 20 C -0.061 4.061 21 C 0.058 3.942 22 H 0.086 0.914 23 C -0.160 4.160 24 C -0.197 4.197 25 C -0.152 4.152 26 C -0.146 4.146 27 C -0.116 4.116 28 H 0.076 0.924 29 C -0.192 4.192 30 H 0.078 0.922 31 H 0.114 0.886 32 H 0.078 0.922 33 H 0.123 0.877 34 H 0.114 0.886 35 H 0.063 0.937 36 H 0.078 0.922 37 H 0.064 0.936 38 H 0.129 0.871 39 H 0.042 0.958 40 H 0.061 0.939 41 H 0.086 0.914 42 H 0.084 0.916 43 H 0.083 0.917 44 H 0.083 0.917 45 H 0.071 0.929 46 H 0.121 0.879 47 H 0.071 0.929 48 H 0.072 0.928 49 H 0.069 0.931 50 H 0.082 0.918 51 H 0.084 0.916 52 H 0.031 0.969 53 H 0.101 0.899 Dipole moment (debyes) X Y Z Total from point charges -4.508 -3.844 -10.622 12.162 hybrid contribution 0.564 0.315 0.657 0.921 sum -3.944 -3.529 -9.965 11.283 Atomic orbital electron populations 1.23166 0.77461 1.03052 1.02275 1.86567 1.22702 1.34607 1.84530 1.24405 0.92741 0.80809 0.71534 1.90642 1.67441 1.36343 1.45412 1.22408 0.84754 1.04989 1.05309 1.20489 0.85048 0.89614 1.01152 1.43761 0.99240 1.83234 1.02834 1.19273 0.93703 1.38891 0.85455 0.90674 1.24804 0.98084 0.99289 0.97156 1.69640 1.12811 1.47919 1.24889 0.86106 0.79756 0.76949 0.82740 1.21694 1.21930 1.20734 1.20754 0.98249 0.91506 0.85641 1.21556 0.75084 0.93753 0.77820 1.90585 1.48816 1.42989 1.56339 1.47909 1.60036 1.04266 1.23545 1.21941 0.98024 0.89947 0.96167 1.20732 0.93723 0.85455 0.94283 0.91435 1.21736 0.98566 1.00123 0.95576 1.22541 0.96362 1.02774 0.97999 1.21487 0.95909 1.00262 0.97500 1.21518 0.97414 1.00685 0.95003 1.21533 0.96231 0.97722 0.96124 0.92381 1.22472 0.96005 1.04563 0.96155 0.92195 0.88643 0.92235 0.87735 0.88598 0.93741 0.92170 0.93597 0.87095 0.95785 0.93939 0.91420 0.91585 0.91716 0.91662 0.92937 0.87874 0.92911 0.92778 0.93075 0.91803 0.91579 0.96853 0.89860 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 16. 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 0.03 0.37 10.55 101.05 1.07 1.44 16 2 O -0.37 -5.26 10.57 -39.26 -0.41 -5.68 16 3 C 0.46 7.66 7.96 36.01 0.29 7.95 16 4 O -0.51 -9.83 15.73 -18.75 -0.29 -10.13 16 5 C -0.13 -2.24 6.13 -27.88 -0.17 -2.41 16 6 C 0.17 3.43 4.96 -4.04 -0.02 3.41 16 7 N -0.57 -13.40 2.02 -174.61 -0.35 -13.76 16 8 C -0.24 -6.34 9.73 -15.06 -0.15 -6.48 16 9 H 0.08 1.93 7.84 -52.49 -0.41 1.52 16 10 C 0.00 0.09 5.22 -17.43 -0.09 0.00 16 11 N -0.91 -24.13 8.26 55.49 0.46 -23.68 16 12 Si 0.91 21.48 29.56 -169.99 -5.02 16.46 16 13 H -0.29 -6.70 7.11 56.52 0.40 -6.30 16 14 H -0.29 -7.13 7.11 56.52 0.40 -6.73 16 15 H -0.28 -6.63 7.11 56.52 0.40 -6.23 16 16 C 0.17 3.66 3.95 -5.20 -0.02 3.64 16 17 C 0.53 11.69 4.21 -10.99 -0.05 11.64 16 18 O -0.51 -13.18 10.98 5.55 0.06 -13.12 16 19 N -0.62 -11.20 2.23 -176.65 -0.39 -11.59 16 20 C 0.08 1.19 7.93 59.85 0.47 1.67 16 21 C 0.16 2.76 2.61 -67.93 -0.18 2.58 16 22 H 0.07 1.37 8.07 -51.93 -0.42 0.95 16 23 C -0.12 -1.63 4.95 -26.73 -0.13 -1.76 16 24 C -0.16 -1.85 5.14 -26.73 -0.14 -1.99 16 25 C -0.11 -1.34 5.92 -26.73 -0.16 -1.50 16 26 C -0.11 -1.54 5.05 -26.73 -0.13 -1.67 16 27 C -0.10 -1.57 2.54 -90.62 -0.23 -1.80 16 28 H 0.06 0.89 8.14 -51.93 -0.42 0.47 16 29 C -0.14 -2.64 7.29 37.16 0.27 -2.37 16 30 H 0.06 0.65 8.13 -51.93 -0.42 0.22 16 31 H 0.10 0.72 8.14 -51.93 -0.42 0.30 16 32 H 0.06 0.63 8.13 -51.93 -0.42 0.21 16 33 H 0.10 1.71 8.14 -51.93 -0.42 1.29 16 34 H 0.10 1.46 8.14 -51.93 -0.42 1.04 16 35 H 0.04 0.96 8.06 -51.93 -0.42 0.54 16 36 H 0.06 1.34 7.96 -51.93 -0.41 0.93 16 37 H 0.25 6.79 8.31 -40.82 -0.34 6.45 16 38 H 0.11 2.60 5.61 -51.93 -0.29 2.31 16 39 H 0.02 0.46 8.02 -51.93 -0.42 0.04 16 40 H 0.04 0.54 6.31 -51.93 -0.33 0.21 16 41 H 0.07 0.86 4.87 -51.93 -0.25 0.61 16 42 H 0.07 1.00 6.39 -51.93 -0.33 0.67 16 43 H 0.06 0.80 8.14 -51.93 -0.42 0.38 16 44 H 0.06 0.87 7.32 -51.93 -0.38 0.49 16 45 H 0.05 0.53 8.14 -51.93 -0.42 0.11 16 46 H 0.10 1.20 3.02 -55.31 -0.17 1.03 16 47 H 0.05 0.60 8.14 -51.93 -0.42 0.18 16 48 H 0.05 0.58 8.14 -51.93 -0.42 0.15 16 49 H 0.05 0.70 8.14 -51.93 -0.42 0.28 16 50 H 0.06 0.98 6.95 -51.93 -0.36 0.62 16 51 H 0.07 1.46 6.97 -51.93 -0.36 1.10 16 52 H 0.01 0.23 8.14 -51.92 -0.42 -0.19 16 53 H 0.08 1.84 4.88 -53.30 -0.26 1.58 16 LS Contribution 393.10 15.07 5.92 5.92 Total: -1.00 -30.58 393.10 -8.43 -39.01 By element: Atomic # 1 Polarization: 13.24 SS G_CDS: -9.02 Total: 4.22 kcal Atomic # 6 Polarization: 11.71 SS G_CDS: 0.63 Total: 12.34 kcal Atomic # 7 Polarization: -48.74 SS G_CDS: -0.29 Total: -49.02 kcal Atomic # 8 Polarization: -28.28 SS G_CDS: -0.65 Total: -28.93 kcal Atomic # 14 Polarization: 21.48 SS G_CDS: -5.02 Total: 16.46 kcal Total LS contribution 5.92 Total: 5.92 kcal Total: -30.58 -8.43 -39.01 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. ZINC000879474330.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 -11.654 kcal (2) G-P(sol) polarization free energy of solvation -30.582 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -42.236 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.426 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -39.008 kcal (6) G-S(sol) free energy of system = (1) + (5) -50.662 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.45 seconds