Wall clock time and date at job start Sat Apr 11 2020 06:10:45 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 1.42897 * 1 3 3 C 1.42902 * 113.99742 * 2 1 4 4 C 1.53001 * 109.47126 * 180.02562 * 3 2 1 5 5 C 1.53006 * 109.47242 * 174.55565 * 4 3 2 6 6 N 1.46494 * 109.45960 * 305.58964 * 5 4 3 7 7 C 1.34776 * 120.00466 * 300.88576 * 6 5 4 8 8 O 1.21275 * 120.00074 * 354.97183 * 7 6 5 9 9 C 1.50701 * 119.99843 * 174.69802 * 7 6 5 10 10 H 1.08999 * 109.48285 * 55.27561 * 9 7 6 11 11 C 1.53094 * 109.48222 * 295.25209 * 9 7 6 12 12 C 1.53180 * 109.16034 * 182.42349 * 11 9 7 13 13 C 1.53174 * 109.05011 * 56.96224 * 12 11 9 14 14 C 1.53096 * 109.16052 * 303.02437 * 13 12 11 15 15 O 1.42902 * 109.41584 * 57.60919 * 14 13 12 16 16 C 1.53039 * 109.45738 * 65.56699 * 5 4 3 17 17 C 1.53164 * 109.32719 * 181.38458 * 16 5 4 18 18 N 1.46925 * 108.76562 * 305.35387 * 17 16 5 19 19 C 1.36936 * 120.62803 * 233.62991 * 18 17 16 20 20 H 1.07996 * 119.99735 * 146.28275 * 19 18 17 21 21 C 1.38815 * 120.00181 * 326.27432 * 19 18 17 22 22 N 1.31615 * 119.99677 * 167.62520 * 21 19 18 23 23 Si 1.86802 * 119.99947 * 347.62783 * 21 19 18 24 24 H 1.48504 * 109.46923 * 86.70923 * 23 21 19 25 25 H 1.48501 * 109.47231 * 206.70717 * 23 21 19 26 26 H 1.48498 * 109.47009 * 326.70820 * 23 21 19 27 27 C 1.46927 * 118.73874 * 53.61221 * 18 17 16 28 28 C 1.53042 * 109.45815 * 185.61706 * 5 4 3 29 29 H 1.08995 * 109.47731 * 59.99549 * 1 2 3 30 30 H 1.09003 * 109.47029 * 180.02562 * 1 2 3 31 31 H 1.09008 * 109.46974 * 299.99766 * 1 2 3 32 32 H 1.08999 * 109.47661 * 60.00688 * 3 2 1 33 33 H 1.09007 * 109.47601 * 300.00112 * 3 2 1 34 34 H 1.09001 * 109.46988 * 54.56157 * 4 3 2 35 35 H 1.09000 * 109.47270 * 294.55925 * 4 3 2 36 36 H 0.97006 * 119.99533 * 120.88087 * 6 5 4 37 37 H 1.08999 * 109.52077 * 302.31740 * 11 9 7 38 38 H 1.08995 * 109.52062 * 62.50406 * 11 9 7 39 39 H 1.09001 * 109.53381 * 297.09360 * 12 11 9 40 40 H 1.09000 * 109.61268 * 176.88291 * 12 11 9 41 41 H 1.09000 * 109.52251 * 183.12144 * 13 12 11 42 42 H 1.08996 * 109.52047 * 62.92705 * 13 12 11 43 43 H 1.08997 * 109.48503 * 297.62628 * 14 13 12 44 44 H 1.09002 * 109.48895 * 177.59573 * 14 13 12 45 45 H 1.09005 * 109.49692 * 301.32330 * 16 5 4 46 46 H 1.08998 * 109.49819 * 61.41499 * 16 5 4 47 47 H 1.08998 * 109.58737 * 185.56990 * 17 16 5 48 48 H 1.09005 * 109.70530 * 65.20786 * 17 16 5 49 49 H 0.97005 * 119.99577 * 180.02562 * 22 21 19 50 50 H 1.09005 * 109.58564 * 186.60241 * 27 18 17 51 51 H 1.09000 * 109.70484 * 66.24354 * 27 18 17 52 52 H 1.09000 * 109.50026 * 298.58125 * 28 5 4 53 53 H 1.09002 * 109.49680 * 58.65097 * 28 5 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 8 1.4290 0.0000 0.0000 3 6 2.0101 1.3055 0.0000 4 6 3.5354 1.1848 -0.0006 5 6 4.1571 2.5761 -0.1375 6 7 3.6121 3.2396 -1.3244 7 6 3.7640 2.6778 -2.5401 8 8 4.4292 1.6714 -2.6642 9 6 3.1021 3.2967 -3.7442 10 1 3.4039 4.3407 -3.8284 11 6 1.5812 3.2159 -3.5887 12 6 0.9163 3.7918 -4.8428 13 6 1.4170 3.0252 -6.0709 14 6 2.9442 3.1137 -6.1303 15 8 3.4978 2.5899 -4.9215 16 6 3.8293 3.4055 1.1061 17 6 4.4236 4.8086 0.9508 18 7 5.8604 4.6849 0.6698 19 6 6.7809 5.3472 1.4374 20 1 7.7457 4.9012 1.6285 21 6 6.4740 6.5920 1.9697 22 7 7.2454 7.1197 2.8964 23 14 4.9661 7.5179 1.3709 24 1 3.7789 7.0890 2.1531 25 1 5.1771 8.9767 1.5512 26 1 4.7437 7.2239 -0.0676 27 6 6.2907 3.8368 -0.4501 28 6 5.6753 2.4444 -0.2789 29 1 -0.3634 0.5139 -0.8899 30 1 -0.3633 -1.0277 0.0005 31 1 -0.3633 0.5138 0.8901 32 1 1.6886 1.8464 0.8900 33 1 1.6885 1.8465 -0.8900 34 1 3.8502 0.5622 -0.8382 35 1 3.8643 0.7301 0.9338 36 1 3.1417 4.0833 -1.2354 37 1 1.2827 2.1751 -3.4636 38 1 1.2732 3.7915 -2.7159 39 1 1.1747 4.8462 -4.9408 40 1 -0.1658 3.6874 -4.7639 41 1 0.9913 3.4646 -6.9730 42 1 1.1153 1.9805 -5.9960 43 1 3.2438 4.1554 -6.2457 44 1 3.3093 2.5343 -6.9783 45 1 2.7477 3.4794 1.2194 46 1 4.2558 2.9251 1.9867 47 1 4.2787 5.3710 1.8732 48 1 3.9332 5.3263 0.1263 49 1 7.0307 7.9894 3.2686 50 1 7.3779 3.7580 -0.4520 51 1 5.9542 4.2719 -1.3911 52 1 6.0844 1.9731 0.6147 53 1 5.9078 1.8337 -1.1514 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 ZINC001151063289.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 06:10:45 Heat of formation + Delta-G solvation = -107.280704 kcal Electronic energy + Delta-G solvation = -32928.274184 eV Core-core repulsion = 28800.659885 eV Total energy + Delta-G solvation = -4127.614299 eV No. of doubly occupied orbitals = 66 Molecular weight (most abundant/longest-lived isotopes) = 340.220 amu Computer time = 1.14 seconds Orbital eigenvalues (eV) -40.77575 -39.36102 -37.80101 -37.31226 -34.77502 -33.93864 -32.62981 -31.75768 -31.01992 -30.47942 -29.31974 -26.67588 -25.91906 -24.78955 -24.17342 -23.09380 -22.65208 -21.31436 -20.58531 -20.38787 -18.91998 -17.68070 -16.94253 -16.59975 -16.31977 -16.05970 -15.88991 -15.29231 -15.20247 -15.12944 -14.67369 -14.56028 -14.42101 -14.10371 -13.82053 -13.70902 -13.33826 -13.31110 -12.96735 -12.85275 -12.67451 -12.40404 -11.93627 -11.82616 -11.74100 -11.72322 -11.53142 -11.39169 -11.36720 -11.20117 -11.10610 -10.81647 -10.73945 -10.51764 -10.24065 -10.02044 -9.83231 -9.73633 -9.62051 -9.56294 -9.17943 -8.80215 -8.63272 -6.89680 -5.96405 -3.40872 2.73427 2.87131 3.22559 3.38798 3.42877 3.70434 3.90677 4.40981 4.47042 4.47755 4.49527 4.64971 4.81683 4.85268 4.91892 5.01240 5.07510 5.13695 5.16290 5.19814 5.24014 5.26564 5.30732 5.36989 5.39580 5.45206 5.46870 5.49666 5.56732 5.59569 5.67050 5.70604 5.79815 5.92490 5.94263 6.03653 6.07778 6.15013 6.30618 6.39586 6.49165 6.54561 6.60297 6.70715 6.78556 6.90894 6.98850 7.12773 7.68169 8.01037 8.34479 8.39043 8.93006 9.68731 10.09319 11.20005 Molecular weight = 340.22amu Principal moments of inertia in cm(-1) A = 0.010268 B = 0.004244 C = 0.003569 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2726.133556 B = 6595.249224 C = 7844.029511 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.033 3.967 2 O -0.391 6.391 3 C 0.065 3.935 4 C -0.128 4.128 5 C 0.196 3.804 6 N -0.715 5.715 7 C 0.523 3.477 8 O -0.511 6.511 9 C 0.072 3.928 10 H 0.081 0.919 11 C -0.145 4.145 12 C -0.121 4.121 13 C -0.158 4.158 14 C 0.059 3.941 15 O -0.351 6.351 16 C -0.140 4.140 17 C 0.123 3.877 18 N -0.605 5.605 19 C -0.259 4.259 20 H 0.084 0.916 21 C 0.024 3.976 22 N -0.914 5.914 23 Si 0.893 3.107 24 H -0.288 1.288 25 H -0.305 1.305 26 H -0.272 1.272 27 C 0.155 3.845 28 C -0.145 4.145 29 H 0.037 0.963 30 H 0.083 0.917 31 H 0.039 0.961 32 H 0.048 0.952 33 H 0.046 0.954 34 H 0.090 0.910 35 H 0.077 0.923 36 H 0.397 0.603 37 H 0.077 0.923 38 H 0.078 0.922 39 H 0.067 0.933 40 H 0.071 0.929 41 H 0.074 0.926 42 H 0.072 0.928 43 H 0.052 0.948 44 H 0.098 0.902 45 H 0.059 0.941 46 H 0.084 0.916 47 H 0.076 0.924 48 H 0.021 0.979 49 H 0.263 0.737 50 H 0.062 0.938 51 H 0.020 0.980 52 H 0.069 0.931 53 H 0.081 0.919 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -17.043 -8.276 -13.672 23.364 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 -0.064 4.064 2 O -0.310 6.310 3 C -0.011 4.011 4 C -0.167 4.167 5 C 0.111 3.889 6 N -0.369 5.369 7 C 0.308 3.692 8 O -0.385 6.385 9 C 0.011 3.989 10 H 0.099 0.901 11 C -0.183 4.183 12 C -0.159 4.159 13 C -0.196 4.196 14 C -0.018 4.018 15 O -0.269 6.269 16 C -0.180 4.180 17 C -0.003 4.003 18 N -0.329 5.329 19 C -0.387 4.387 20 H 0.102 0.898 21 C -0.175 4.175 22 N -0.557 5.557 23 Si 0.725 3.275 24 H -0.215 1.215 25 H -0.233 1.233 26 H -0.198 1.198 27 C 0.029 3.971 28 C -0.184 4.184 29 H 0.055 0.945 30 H 0.101 0.899 31 H 0.058 0.942 32 H 0.066 0.934 33 H 0.064 0.936 34 H 0.108 0.892 35 H 0.096 0.904 36 H 0.232 0.768 37 H 0.096 0.904 38 H 0.096 0.904 39 H 0.085 0.915 40 H 0.089 0.911 41 H 0.093 0.907 42 H 0.091 0.909 43 H 0.070 0.930 44 H 0.116 0.884 45 H 0.077 0.923 46 H 0.103 0.897 47 H 0.094 0.906 48 H 0.038 0.962 49 H 0.073 0.927 50 H 0.081 0.919 51 H 0.038 0.962 52 H 0.088 0.912 53 H 0.100 0.900 Dipole moment (debyes) X Y Z Total from point charges -16.253 -9.201 -13.648 23.132 hybrid contribution -1.599 1.646 -0.187 2.302 sum -17.852 -7.555 -13.836 23.816 Atomic orbital electron populations 1.22692 0.81607 1.02418 0.99684 1.87890 1.19205 1.28569 1.95366 1.22581 0.94563 0.84142 0.99826 1.21942 0.92619 0.97746 1.04344 1.20209 0.94263 0.90516 0.83958 1.46087 1.58755 1.25917 1.06145 1.19938 0.80932 0.84768 0.83574 1.90659 1.38215 1.24642 1.85005 1.21920 0.94151 0.96449 0.86382 0.90094 1.22137 0.93970 1.03043 0.99136 1.21586 1.00489 0.99743 0.94037 1.22215 0.96928 1.01761 0.98653 1.22653 0.92614 0.99228 0.87340 1.88077 1.70367 1.55450 1.13030 1.22408 0.99839 0.98815 0.96899 1.21378 0.85916 0.93813 0.99150 1.44320 1.00758 1.55033 1.32775 1.18937 0.97627 0.97748 1.24426 0.89840 1.25444 0.97579 0.96346 0.98108 1.69765 1.39393 1.18502 1.28021 0.86839 0.82825 0.78412 0.79457 1.21533 1.23306 1.19753 1.20858 0.97970 0.88709 0.89532 1.22424 0.92919 1.00131 1.02955 0.94450 0.89893 0.94250 0.93364 0.93609 0.89187 0.90411 0.76784 0.90442 0.90360 0.91462 0.91074 0.90743 0.90880 0.93020 0.88423 0.92265 0.89716 0.90645 0.96174 0.92741 0.91945 0.96241 0.91205 0.90026 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 0.03 0.32 11.01 101.05 1.11 1.43 16 2 O -0.39 -5.32 10.70 -35.23 -0.38 -5.69 16 3 C 0.07 0.84 5.44 37.16 0.20 1.04 16 4 C -0.13 -1.86 4.31 -26.73 -0.12 -1.97 16 5 C 0.20 2.97 0.35 -131.78 -0.05 2.93 16 6 N -0.72 -9.88 3.05 -47.57 -0.15 -10.03 16 7 C 0.52 7.73 6.30 -10.99 -0.07 7.66 16 8 O -0.51 -9.35 12.81 -14.29 -0.18 -9.53 16 9 C 0.07 0.87 3.06 -27.83 -0.09 0.79 16 10 H 0.08 0.89 8.14 -51.93 -0.42 0.46 16 11 C -0.14 -1.33 5.37 -26.59 -0.14 -1.48 16 12 C -0.12 -0.89 6.03 -26.55 -0.16 -1.05 16 13 C -0.16 -1.18 6.14 -26.59 -0.16 -1.35 16 14 C 0.06 0.54 6.84 37.21 0.25 0.79 16 15 O -0.35 -4.72 9.94 -55.09 -0.55 -5.27 16 16 C -0.14 -2.22 4.75 -26.63 -0.13 -2.35 16 17 C 0.12 2.45 3.89 -3.73 -0.01 2.44 16 18 N -0.60 -13.81 2.71 -172.33 -0.47 -14.28 16 19 C -0.26 -7.10 10.04 -15.06 -0.15 -7.25 16 20 H 0.08 2.49 8.06 -52.49 -0.42 2.07 16 21 C 0.02 0.68 5.34 -17.43 -0.09 0.59 16 22 N -0.91 -27.71 13.97 55.49 0.78 -26.93 16 23 Si 0.89 21.68 24.27 -169.99 -4.13 17.55 16 24 H -0.29 -6.60 6.48 56.52 0.37 -6.23 16 25 H -0.30 -7.62 7.11 56.52 0.40 -7.22 16 26 H -0.27 -6.38 6.60 56.52 0.37 -6.01 16 27 C 0.15 3.13 6.26 -3.71 -0.02 3.10 16 28 C -0.14 -2.54 4.68 -26.61 -0.12 -2.66 16 29 H 0.04 0.32 8.14 -51.93 -0.42 -0.10 16 30 H 0.08 0.68 8.14 -51.93 -0.42 0.25 16 31 H 0.04 0.34 8.14 -51.92 -0.42 -0.09 16 32 H 0.05 0.57 6.82 -51.93 -0.35 0.22 16 33 H 0.05 0.56 7.04 -51.93 -0.37 0.19 16 34 H 0.09 1.50 6.45 -51.93 -0.33 1.16 16 35 H 0.08 1.11 8.14 -51.93 -0.42 0.69 16 36 H 0.40 4.89 7.25 -40.82 -0.30 4.59 16 37 H 0.08 0.80 8.14 -51.93 -0.42 0.37 16 38 H 0.08 0.61 8.14 -51.93 -0.42 0.19 16 39 H 0.07 0.46 8.14 -51.93 -0.42 0.04 16 40 H 0.07 0.45 8.14 -51.93 -0.42 0.03 16 41 H 0.07 0.43 8.14 -51.93 -0.42 0.00 16 42 H 0.07 0.59 8.14 -51.93 -0.42 0.17 16 43 H 0.05 0.43 8.14 -51.93 -0.42 0.00 16 44 H 0.10 0.78 8.14 -51.93 -0.42 0.35 16 45 H 0.06 0.79 6.65 -51.93 -0.35 0.44 16 46 H 0.08 1.41 8.14 -51.93 -0.42 0.99 16 47 H 0.08 1.67 4.63 -51.93 -0.24 1.43 16 48 H 0.02 0.39 5.68 -51.93 -0.30 0.09 16 49 H 0.26 7.57 8.31 -40.82 -0.34 7.23 16 50 H 0.06 1.30 7.93 -51.93 -0.41 0.89 16 51 H 0.02 0.39 7.74 -51.93 -0.40 -0.01 16 52 H 0.07 1.24 8.14 -51.93 -0.42 0.82 16 53 H 0.08 1.49 6.11 -51.93 -0.32 1.17 16 LS Contribution 392.24 15.07 5.91 5.91 Total: -1.00 -33.19 392.24 -8.23 -41.42 By element: Atomic # 1 Polarization: 13.51 SS G_CDS: -9.33 Total: 4.19 kcal Atomic # 6 Polarization: 2.40 SS G_CDS: 0.26 Total: 2.66 kcal Atomic # 7 Polarization: -51.40 SS G_CDS: 0.16 Total: -51.24 kcal Atomic # 8 Polarization: -19.38 SS G_CDS: -1.11 Total: -20.49 kcal Atomic # 14 Polarization: 21.68 SS G_CDS: -4.13 Total: 17.55 kcal Total LS contribution 5.91 Total: 5.91 kcal Total: -33.19 -8.23 -41.42 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. ZINC001151063289.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 -65.859 kcal (2) G-P(sol) polarization free energy of solvation -33.191 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -99.050 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -8.230 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -41.421 kcal (6) G-S(sol) free energy of system = (1) + (5) -107.281 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.14 seconds