Wall clock time and date at job start Tue Mar 31 2020 06:49:37 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 1.50697 * 1 3 3 O 1.21248 * 120.00363 * 2 1 4 4 C 1.47181 * 119.99966 * 180.02562 * 2 1 3 5 5 C 1.39883 * 120.14695 * 359.97369 * 4 2 1 6 6 C 1.37888 * 119.94060 * 180.02562 * 5 4 2 7 7 C 1.38336 * 120.23408 * 359.74393 * 6 5 4 8 8 C 1.38851 * 120.29032 * 0.51503 * 7 6 5 9 9 O 1.35910 * 119.96760 * 179.76335 * 8 7 6 10 10 C 1.42903 * 117.00166 * 359.72054 * 9 8 7 11 11 C 1.53001 * 109.47209 * 179.97438 * 10 9 8 12 12 H 1.08998 * 109.47039 * 55.00282 * 11 10 9 13 13 O 1.42902 * 109.47203 * 294.99978 * 11 10 9 14 14 C 1.53006 * 109.47034 * 175.00363 * 11 10 9 15 15 N 1.46902 * 109.47033 * 187.03258 * 14 11 10 16 16 C 1.46894 * 110.99748 * 290.85077 * 15 14 11 17 17 C 1.53245 * 109.33771 * 187.25362 * 16 15 14 18 18 N 1.47081 * 108.52246 * 306.16820 * 17 16 15 19 19 C 1.34770 * 120.88385 * 231.18407 * 18 17 16 20 20 O 1.21685 * 120.00051 * 5.24315 * 19 18 17 21 21 C 1.46368 * 119.99912 * 185.23695 * 19 18 17 22 22 H 1.08000 * 120.00150 * 354.99070 * 21 19 18 23 23 C 1.40051 * 119.99955 * 174.99248 * 21 19 18 24 24 N 1.30667 * 119.99968 * 359.97438 * 23 21 19 25 25 Si 1.86804 * 120.00111 * 180.02562 * 23 21 19 26 26 H 1.48493 * 109.47002 * 179.97438 * 25 23 21 27 27 H 1.48502 * 109.47180 * 299.99748 * 25 23 21 28 28 H 1.48499 * 109.47199 * 59.99780 * 25 23 21 29 29 C 1.47081 * 118.23248 * 51.45722 * 18 17 16 30 30 C 1.46903 * 110.99835 * 55.15175 * 15 14 11 31 31 C 1.38423 * 120.06066 * 359.48411 * 8 7 6 32 32 H 1.09001 * 109.46958 * 269.99878 * 1 2 3 33 33 H 1.09000 * 109.47679 * 29.99661 * 1 2 3 34 34 H 1.09000 * 109.47353 * 149.99679 * 1 2 3 35 35 H 1.08004 * 120.02715 * 0.02562 * 5 4 2 36 36 H 1.08001 * 119.88181 * 180.02562 * 6 5 4 37 37 H 1.07998 * 119.85010 * 180.27878 * 7 6 5 38 38 H 1.09006 * 109.46690 * 60.00280 * 10 9 8 39 39 H 1.08999 * 109.47250 * 300.00415 * 10 9 8 40 40 H 0.96701 * 114.00371 * 300.00170 * 13 11 10 41 41 H 1.09000 * 109.46952 * 67.03176 * 14 11 10 42 42 H 1.08995 * 109.46660 * 307.03288 * 14 11 10 43 43 H 1.09003 * 109.49532 * 67.29416 * 16 15 14 44 44 H 1.08999 * 109.49563 * 307.21498 * 16 15 14 45 45 H 1.09004 * 109.62497 * 186.46171 * 17 16 15 46 46 H 1.08996 * 109.62600 * 65.87991 * 17 16 15 47 47 H 0.97002 * 119.99972 * 180.02562 * 24 23 21 48 48 H 1.08997 * 109.63000 * 68.25147 * 29 18 17 49 49 H 1.09003 * 109.63128 * 188.82991 * 29 18 17 50 50 H 1.08996 * 109.49568 * 292.70724 * 30 15 14 51 51 H 1.09006 * 109.49216 * 52.76198 * 30 15 14 52 52 H 1.08000 * 120.11858 * 180.23314 * 31 8 7 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 1.5070 0.0000 0.0000 3 8 2.1133 1.0500 0.0000 4 6 2.2429 -1.2746 -0.0006 5 6 1.5466 -2.4878 -0.0006 6 6 2.2403 -3.6795 -0.0006 7 6 3.6236 -3.6802 -0.0059 8 6 4.3246 -2.4816 -0.0006 9 8 5.6837 -2.4900 -0.0010 10 6 6.3246 -3.7672 -0.0009 11 6 7.8427 -3.5760 -0.0021 12 1 8.1301 -2.9455 0.8392 13 8 8.2432 -2.9521 -1.2237 14 6 8.5283 -4.9381 0.1236 15 7 9.9748 -4.7445 0.2917 16 6 10.5841 -4.2317 -0.9426 17 6 12.1086 -4.2154 -0.7871 18 7 12.4459 -3.4641 0.4315 19 6 13.3503 -2.4654 0.4005 20 8 13.8292 -2.1110 -0.6606 21 6 13.7565 -1.8071 1.6430 22 1 13.2733 -2.0651 2.5738 23 6 14.7716 -0.8424 1.6249 24 7 15.3565 -0.5305 0.4989 25 14 15.2905 -0.0026 3.2108 26 1 16.3757 0.9696 2.9240 27 1 14.1275 0.7115 3.7963 28 1 15.7811 -1.0217 4.1731 29 6 11.7745 -3.8359 1.6862 30 6 10.2589 -3.8633 1.4322 31 6 3.6405 -1.2782 -0.0006 32 1 -0.3633 0.0000 1.0277 33 1 -0.3634 0.8900 -0.5138 34 1 -0.3634 -0.8899 -0.5139 35 1 0.4665 -2.4911 -0.0005 36 1 1.7017 -4.6156 -0.0010 37 1 4.1607 -4.6171 -0.0104 38 1 6.0280 -4.3225 -0.8908 39 1 6.0286 -4.3222 0.8892 40 1 8.0189 -3.4587 -2.0162 41 1 8.3422 -5.5230 -0.7771 42 1 8.1295 -5.4670 0.9892 43 1 10.2269 -3.2194 -1.1314 44 1 10.3106 -4.8760 -1.7782 45 1 12.5597 -3.7304 -1.6529 46 1 12.4789 -5.2369 -0.7018 47 1 16.0599 0.1373 0.4864 48 1 12.1133 -4.8217 2.0047 49 1 12.0046 -3.1000 2.4567 50 1 9.9062 -2.8561 1.2105 51 1 9.7491 -4.2402 2.3189 52 1 4.1847 -0.3454 -0.0002 RHF calculation, no. of doubly occupied orbitals= 71 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 ZINC000408524705.mol2 52 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 06:49:37 Heat of formation + Delta-G solvation = -111.119319 kcal Electronic energy + Delta-G solvation = -33972.533866 eV Core-core repulsion = 29324.241596 eV Total energy + Delta-G solvation = -4648.292270 eV No. of doubly occupied orbitals = 71 Molecular weight (most abundant/longest-lived isotopes) = 376.188 amu Computer time = 1.25 seconds Orbital eigenvalues (eV) -40.85010 -39.85361 -39.23257 -37.84514 -37.11369 -35.78074 -33.36029 -32.44447 -32.17065 -31.68638 -30.77391 -30.18816 -29.29536 -27.50002 -26.12361 -24.75199 -23.58186 -23.13433 -22.85467 -22.07397 -20.54007 -20.33959 -18.75581 -18.31663 -17.34945 -16.91262 -16.56607 -16.46712 -16.16439 -15.87601 -15.74586 -15.47242 -15.21433 -15.15068 -14.74779 -14.64643 -14.34827 -14.20700 -14.14933 -14.03736 -13.60479 -13.40988 -13.02419 -12.90548 -12.64119 -12.56973 -12.42019 -12.34646 -12.11707 -11.67497 -11.60843 -11.43617 -11.33392 -11.21248 -11.16174 -10.97771 -10.87406 -10.84957 -10.45547 -10.24379 -10.22015 -10.17687 -9.94905 -9.53218 -8.82380 -8.70015 -8.07397 -7.54723 -7.12785 -6.16505 -4.61485 0.15982 0.93907 1.95869 2.64498 3.17520 3.22427 3.23959 3.31053 3.61342 3.96539 4.09876 4.13715 4.23616 4.38432 4.43322 4.47120 4.58220 4.60253 4.62350 4.65492 4.71193 4.84199 4.85551 4.91486 4.93078 4.98394 5.14647 5.34865 5.43936 5.44347 5.49322 5.53752 5.64631 5.75779 5.76536 5.80972 5.83106 5.85424 5.91407 6.06085 6.15878 6.16531 6.29856 6.50293 6.58241 6.78738 6.96494 7.07051 7.16093 7.24904 7.44490 7.47765 7.65444 8.16425 8.40009 9.04931 9.48392 10.61170 10.79850 Molecular weight = 376.19amu Principal moments of inertia in cm(-1) A = 0.011456 B = 0.001721 C = 0.001573 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 2443.476556 B =16266.947579 C =17800.501748 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.199 4.199 2 C 0.394 3.606 3 O -0.451 6.451 4 C -0.134 4.134 5 C -0.116 4.116 6 C -0.092 4.092 7 C -0.182 4.182 8 C 0.123 3.877 9 O -0.299 6.299 10 C 0.030 3.970 11 C 0.069 3.931 12 H 0.114 0.886 13 O -0.539 6.539 14 C 0.030 3.970 15 N -0.524 5.524 16 C 0.031 3.969 17 C 0.124 3.876 18 N -0.643 5.643 19 C 0.560 3.440 20 O -0.578 6.578 21 C -0.545 4.545 22 H 0.071 0.929 23 C 0.088 3.912 24 N -0.768 5.768 25 Si 0.906 3.094 26 H -0.281 1.281 27 H -0.268 1.268 28 H -0.268 1.268 29 C 0.130 3.870 30 C 0.033 3.967 31 C -0.094 4.094 32 H 0.099 0.901 33 H 0.089 0.911 34 H 0.087 0.913 35 H 0.135 0.865 36 H 0.132 0.868 37 H 0.132 0.868 38 H 0.066 0.934 39 H 0.072 0.928 40 H 0.370 0.630 41 H 0.079 0.921 42 H 0.084 0.916 43 H 0.069 0.931 44 H 0.066 0.934 45 H 0.085 0.915 46 H 0.044 0.956 47 H 0.269 0.731 48 H 0.049 0.951 49 H 0.094 0.906 50 H 0.044 0.956 51 H 0.072 0.928 52 H 0.143 0.857 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -30.984 -10.396 0.444 32.685 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 -0.256 4.256 2 C 0.271 3.729 3 O -0.326 6.326 4 C -0.135 4.135 5 C -0.134 4.134 6 C -0.110 4.110 7 C -0.200 4.200 8 C 0.077 3.923 9 O -0.212 6.212 10 C -0.047 4.047 11 C 0.008 3.992 12 H 0.132 0.868 13 O -0.344 6.344 14 C -0.100 4.100 15 N -0.247 5.247 16 C -0.097 4.097 17 C 0.000 4.000 18 N -0.382 5.382 19 C 0.366 3.634 20 O -0.461 6.461 21 C -0.582 4.582 22 H 0.089 0.911 23 C -0.132 4.132 24 N -0.397 5.397 25 Si 0.731 3.269 26 H -0.206 1.206 27 H -0.193 1.193 28 H -0.193 1.193 29 C 0.005 3.995 30 C -0.095 4.095 31 C -0.113 4.113 32 H 0.117 0.883 33 H 0.108 0.892 34 H 0.106 0.894 35 H 0.152 0.848 36 H 0.150 0.850 37 H 0.150 0.850 38 H 0.084 0.916 39 H 0.090 0.910 40 H 0.217 0.783 41 H 0.097 0.903 42 H 0.102 0.898 43 H 0.087 0.913 44 H 0.084 0.916 45 H 0.103 0.897 46 H 0.062 0.938 47 H 0.079 0.921 48 H 0.067 0.933 49 H 0.112 0.888 50 H 0.062 0.938 51 H 0.090 0.910 52 H 0.160 0.840 Dipole moment (debyes) X Y Z Total from point charges -29.621 -9.353 0.252 31.063 hybrid contribution -0.601 0.171 0.384 0.734 sum -30.222 -9.182 0.636 31.593 Atomic orbital electron populations 1.22229 0.93354 1.05073 1.04923 1.22526 0.91782 0.87420 0.71174 1.90580 1.72111 1.34263 1.35608 1.20322 0.93333 0.95165 1.04698 1.21350 1.00195 0.91263 1.00641 1.20923 0.93348 0.98343 0.98403 1.21540 0.95612 0.97282 1.05600 1.18963 0.83173 0.93760 0.96394 1.86246 1.15489 1.31445 1.88056 1.23710 0.94720 0.84271 1.01956 1.22951 0.89215 0.97338 0.89738 0.86805 1.86781 1.82299 1.50415 1.14880 1.22832 0.89493 0.94541 1.03115 1.62296 1.07978 1.48850 1.05606 1.22797 0.96229 1.00273 0.90397 1.21220 0.92244 0.95448 0.91108 1.48207 1.45744 1.37648 1.06568 1.18228 0.77075 0.77635 0.90445 1.90586 1.57340 1.65511 1.32655 1.20926 1.20862 1.23020 0.93349 0.91061 1.25723 0.95125 0.95577 0.96769 1.70003 1.18411 1.25124 1.26124 0.86463 0.78690 0.79344 0.82447 1.20568 1.19256 1.19261 1.21545 0.88754 1.00208 0.89034 1.22752 0.98849 0.95076 0.92851 1.20719 0.92853 0.97316 1.00407 0.88290 0.89232 0.89388 0.84766 0.85027 0.84997 0.91603 0.90987 0.78267 0.90297 0.89759 0.91260 0.91594 0.89682 0.93761 0.92059 0.93294 0.88792 0.93798 0.90977 0.83969 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 13. 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 -0.20 -0.84 9.75 36.00 0.35 -0.49 16 2 C 0.39 3.40 7.23 -30.68 -0.22 3.17 16 3 O -0.45 -5.73 17.09 5.58 0.10 -5.64 16 4 C -0.13 -1.16 5.87 -105.08 -0.62 -1.77 16 5 C -0.12 -0.69 9.36 -39.09 -0.37 -1.06 16 6 C -0.09 -0.54 10.02 -39.67 -0.40 -0.94 16 7 C -0.18 -1.34 9.04 -39.32 -0.36 -1.70 16 8 C 0.12 1.25 6.68 -39.29 -0.26 0.99 16 9 O -0.30 -3.45 10.10 -24.30 -0.25 -3.69 16 10 C 0.03 0.25 4.37 37.16 0.16 0.41 16 11 C 0.07 0.72 2.91 -26.73 -0.08 0.64 16 12 H 0.11 1.46 6.11 -51.93 -0.32 1.14 16 13 O -0.54 -6.78 10.27 -40.08 -0.41 -7.19 16 14 C 0.03 0.28 5.19 -3.82 -0.02 0.26 16 15 N -0.52 -7.26 4.83 -234.02 -1.13 -8.39 16 16 C 0.03 0.50 4.84 -3.70 -0.02 0.48 16 17 C 0.12 2.51 6.61 -3.60 -0.02 2.48 16 18 N -0.64 -14.97 3.00 -173.84 -0.52 -15.49 16 19 C 0.56 16.28 7.63 -12.99 -0.10 16.18 16 20 O -0.58 -19.08 14.49 5.20 0.08 -19.01 16 21 C -0.54 -15.47 8.86 -35.63 -0.32 -15.79 16 22 H 0.07 1.83 5.74 -52.49 -0.30 1.53 16 23 C 0.09 2.48 5.50 -17.37 -0.10 2.38 16 24 N -0.77 -23.35 11.84 55.55 0.66 -22.69 16 25 Si 0.91 20.36 29.56 -169.99 -5.02 15.33 16 26 H -0.28 -6.18 7.11 56.52 0.40 -5.78 16 27 H -0.27 -5.86 7.11 56.52 0.40 -5.46 16 28 H -0.27 -5.81 7.11 56.52 0.40 -5.41 16 29 C 0.13 2.45 6.50 -3.36 -0.02 2.42 16 30 C 0.03 0.51 4.86 -3.46 -0.02 0.49 16 31 C -0.09 -1.02 9.54 -38.94 -0.37 -1.39 16 32 H 0.10 0.28 8.14 -51.93 -0.42 -0.14 16 33 H 0.09 0.37 8.14 -51.93 -0.42 -0.05 16 34 H 0.09 0.18 6.47 -51.93 -0.34 -0.16 16 35 H 0.13 0.38 6.35 -52.48 -0.33 0.04 16 36 H 0.13 0.41 8.06 -52.49 -0.42 -0.01 16 37 H 0.13 0.71 6.28 -52.49 -0.33 0.38 16 38 H 0.07 0.41 7.64 -51.93 -0.40 0.02 16 39 H 0.07 0.46 7.67 -51.93 -0.40 0.07 16 40 H 0.37 3.19 9.05 45.56 0.41 3.61 16 41 H 0.08 0.62 7.99 -51.93 -0.41 0.21 16 42 H 0.08 0.67 8.14 -51.93 -0.42 0.24 16 43 H 0.07 1.25 5.79 -51.93 -0.30 0.95 16 44 H 0.07 0.87 8.00 -51.93 -0.42 0.45 16 45 H 0.08 1.92 7.04 -51.93 -0.37 1.55 16 46 H 0.04 0.84 8.14 -51.93 -0.42 0.42 16 47 H 0.27 7.44 8.29 -40.82 -0.34 7.10 16 48 H 0.05 0.87 8.14 -51.93 -0.42 0.45 16 49 H 0.09 1.84 5.46 -51.93 -0.28 1.56 16 50 H 0.04 0.75 6.52 -51.93 -0.34 0.41 16 51 H 0.07 0.89 8.11 -51.93 -0.42 0.47 16 52 H 0.14 1.73 7.65 -52.49 -0.40 1.33 16 LS Contribution 416.15 15.07 6.27 6.27 Total: -1.00 -39.19 416.15 -9.61 -48.80 By element: Atomic # 1 Polarization: 11.52 SS G_CDS: -6.61 Total: 4.91 kcal Atomic # 6 Polarization: 9.55 SS G_CDS: -2.77 Total: 6.79 kcal Atomic # 7 Polarization: -45.58 SS G_CDS: -0.99 Total: -46.58 kcal Atomic # 8 Polarization: -35.04 SS G_CDS: -0.49 Total: -35.53 kcal Atomic # 14 Polarization: 20.36 SS G_CDS: -5.02 Total: 15.33 kcal Total LS contribution 6.27 Total: 6.27 kcal Total: -39.19 -9.61 -48.80 kcal The number of atoms in the molecule is 52 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. ZINC000408524705.mol2 52 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 -62.315 kcal (2) G-P(sol) polarization free energy of solvation -39.194 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -101.509 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.611 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -48.804 kcal (6) G-S(sol) free energy of system = (1) + (5) -111.119 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.25 seconds