Wall clock time and date at job start Sun Mar 7 2021 04:42:20 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= 0 * AM1 - THE AM1 HAMILTONIAN TO BE USED * SM5.42R - SM5.42R CALCULATIONS WILL BE PERFORMED * - CHARGE MODEL 2 WILL BE USED (CM2A) * - THE SOLVENT IS WATER ******************************************************************************* 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 1.50698 * 1 3 3 C 1.36537 * 126.64418 * 2 1 4 4 C 1.46658 * 125.99109 * 359.95779 * 3 2 1 5 5 O 1.21687 * 119.99738 * 359.97438 * 4 3 2 6 6 N 1.34779 * 119.99822 * 179.97438 * 4 3 2 7 7 C 1.46505 * 119.99683 * 179.97438 * 6 4 3 8 8 H 1.09005 * 112.84885 * 336.20283 * 7 6 4 9 9 C 1.53954 * 113.53262 * 107.50674 * 7 6 4 10 10 C 1.53779 * 87.01707 * 89.19113 * 9 7 6 11 11 H 1.09004 * 113.61475 * 270.76777 * 10 9 7 12 12 C 1.53003 * 113.61714 * 139.95141 * 10 9 7 13 13 N 1.46495 * 109.47179 * 85.85817 * 12 10 9 14 14 C 1.34428 * 126.82196 * 125.00293 * 13 12 10 15 15 N 1.30834 * 108.08033 * 180.02562 * 14 13 12 16 16 C 1.33241 * 109.82716 * 0.02562 * 15 14 13 17 17 N 1.30718 * 108.94820 * 359.97438 * 16 15 14 18 18 C 1.53779 * 87.17619 * 25.36010 * 10 9 7 19 19 O 1.34923 * 108.02322 * 180.22057 * 3 2 1 20 20 C 1.33932 * 109.38070 * 359.59471 * 19 3 2 21 21 C 1.50702 * 125.61535 * 180.19311 * 20 19 3 22 22 O 1.42900 * 109.47103 * 270.25127 * 21 20 19 23 23 C 1.35903 * 116.99863 * 180.02562 * 22 21 20 24 24 C 1.38735 * 120.05198 * 359.72113 * 23 22 21 25 25 C 1.38154 * 119.94038 * 179.74622 * 24 23 22 26 26 C 1.38266 * 120.05203 * 0.50835 * 25 24 23 27 27 C 1.50706 * 119.94188 * 179.74702 * 26 25 24 28 28 O 1.42906 * 109.47114 * 245.02463 * 27 26 25 29 29 Si 1.86302 * 109.46885 * 5.01928 * 27 26 25 30 30 C 1.38265 * 120.11452 * 359.76804 * 26 25 24 31 31 C 1.38137 * 120.05722 * 359.97438 * 30 26 25 32 32 C 1.35131 * 108.76796 * 0.41047 * 20 19 3 33 33 H 1.09009 * 109.47196 * 90.00046 * 1 2 3 34 34 H 1.09000 * 109.47371 * 209.99472 * 1 2 3 35 35 H 1.08997 * 109.47595 * 329.99872 * 1 2 3 36 36 H 0.96992 * 120.00203 * 0.02562 * 6 4 3 37 37 H 1.08994 * 113.66948 * 334.66409 * 9 7 6 38 38 H 1.09000 * 113.60833 * 203.70619 * 9 7 6 39 39 H 1.09004 * 109.46516 * 325.86079 * 12 10 9 40 40 H 1.09000 * 109.47268 * 205.86024 * 12 10 9 41 41 H 1.08001 * 125.96455 * 359.97438 * 14 13 12 42 42 H 1.08002 * 125.52885 * 180.02562 * 16 15 14 43 43 H 1.08994 * 113.61840 * 89.15634 * 18 10 9 44 44 H 1.09000 * 113.61135 * 219.98077 * 18 10 9 45 45 H 1.09005 * 109.46634 * 30.25067 * 21 20 19 46 46 H 1.09002 * 109.47158 * 150.24902 * 21 20 19 47 47 H 1.07996 * 120.03215 * 359.97438 * 24 23 22 48 48 H 1.07996 * 119.97263 * 180.23571 * 25 24 23 49 49 H 1.08992 * 109.47080 * 125.02581 * 27 26 25 50 50 H 0.96700 * 113.99781 * 59.99708 * 28 27 26 51 51 H 1.48501 * 109.99689 * 179.97438 * 29 27 26 52 52 H 1.48493 * 110.00448 * 301.32054 * 29 27 26 53 53 H 1.08006 * 119.97153 * 179.97438 * 30 26 25 54 54 H 1.08001 * 120.03114 * 179.97438 * 31 30 26 55 55 H 1.08001 * 126.43677 * 179.75214 * 32 20 19 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 6 2.3219 1.0955 0.0000 4 6 1.8842 2.4953 -0.0009 5 8 0.6968 2.7614 -0.0022 6 7 2.7971 3.4868 -0.0002 7 6 2.3598 4.8850 -0.0017 8 1 1.3568 5.0144 -0.4084 9 6 2.5798 5.5993 1.3443 10 6 3.9751 5.9808 0.8223 11 1 4.7431 5.2409 1.0481 12 6 4.3973 7.4055 1.1866 13 7 5.0094 7.4083 2.5175 14 6 6.2261 7.8776 2.8438 15 7 6.4002 7.6966 4.1278 16 6 5.3216 7.1167 4.6528 17 7 4.4420 6.9202 3.7060 18 6 3.3955 5.8538 -0.5964 19 8 3.6005 0.6647 -0.0049 20 6 3.6183 -0.6745 0.0009 21 6 4.8550 -1.5357 0.0022 22 8 5.2465 -1.8090 -1.3447 23 6 6.3519 -2.5795 -1.5216 24 6 7.0487 -3.0579 -0.4213 25 6 8.1691 -3.8453 -0.6038 26 6 8.6021 -4.1481 -1.8815 27 6 9.8279 -5.0026 -2.0776 28 8 10.8528 -4.2287 -2.7044 29 14 10.4324 -5.6101 -0.4235 30 6 7.9127 -3.6678 -2.9796 31 6 6.7888 -2.8844 -2.8025 32 6 2.3447 -1.1262 0.0005 33 1 -0.3634 0.0000 -1.0277 34 1 -0.3634 -0.8900 0.5137 35 1 -0.3634 0.8899 0.5138 36 1 3.7435 3.2746 0.0004 37 1 2.6032 4.9238 2.1994 38 1 1.9219 6.4548 1.4971 39 1 3.5217 8.0548 1.1880 40 1 5.1182 7.7693 0.4544 41 1 6.9364 8.3252 2.1644 42 1 5.1942 6.8526 5.6923 43 1 2.9610 6.7789 -0.9751 44 1 4.0771 5.3847 -1.3060 45 1 5.6614 -1.0126 0.5161 46 1 4.6442 -2.4733 0.5167 47 1 6.7135 -2.8179 0.5768 48 1 8.7097 -4.2211 0.2523 49 1 9.5790 -5.8553 -2.7092 50 1 11.1247 -3.4517 -2.1970 51 1 11.6407 -6.4546 -0.6033 52 1 10.7449 -4.4567 0.4580 53 1 8.2532 -3.9054 -3.9767 54 1 6.2508 -2.5092 -3.6606 55 1 2.0306 -2.1595 0.0006 There are 78 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 78 No. of singly occupied orbitals= 1 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=0 AM1 1SCF TLIMIT=15 GEO-OK SM5.42R & SOLVNT=WATER s_22_14688106_4549632.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Sun Mar 7 2021 04:42:20 Heat of formation + Delta-G solvation = 70.558262 kcal Electronic energy + Delta-G solvation = -39257.641272 eV Core-core repulsion = 34038.896660 eV Total energy + Delta-G solvation = -5218.744612 eV No. of doubly occupied orbitals = 78 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 425.183 amu Computer time = 1.61 seconds Orbital eigenvalues (eV) -43.98780 -42.98426 -41.38126 -41.24211 -39.57409 -39.25766 -37.31652 -35.75164 -35.14873 -34.01415 -33.15192 -32.16160 -32.05985 -31.54182 -29.42527 -28.87582 -28.04218 -26.76589 -26.23330 -24.82791 -24.08411 -23.08399 -22.86282 -22.67502 -22.37264 -22.27179 -20.93206 -20.37091 -19.49852 -19.39884 -18.45721 -18.23670 -17.59621 -17.47060 -17.26821 -16.92876 -16.82525 -16.62780 -16.25551 -16.21398 -16.01411 -15.91725 -15.66940 -15.47126 -15.27285 -15.13467 -14.85071 -14.67661 -14.58591 -14.39687 -14.27235 -14.13331 -14.03276 -13.82579 -13.69171 -13.51980 -13.47942 -13.45307 -13.16563 -12.87808 -12.84319 -12.32384 -12.24427 -12.13558 -12.05718 -11.79116 -11.61079 -11.38754 -11.31460 -10.97835 -10.84721 -10.79513 -10.58649 -10.57496 -10.34575 -10.04038 -9.76078 -9.25861 -4.91554 -0.31802 0.26661 0.30651 0.70555 0.92747 1.29788 1.33068 1.45475 1.59511 1.88236 1.90275 1.97232 2.00818 2.34014 2.64224 3.24525 3.28688 3.39889 3.45106 3.53138 3.58678 3.60181 3.61403 3.70519 3.73467 3.79343 3.92797 3.93839 3.98666 4.06229 4.10965 4.19824 4.25300 4.30424 4.40316 4.41249 4.44790 4.54035 4.55508 4.56853 4.61834 4.69280 4.70438 4.72959 4.77569 4.92302 4.93510 4.97326 4.99929 5.01775 5.08156 5.15354 5.25415 5.27211 5.32326 5.45246 5.45914 5.49783 5.63690 5.68806 5.94842 6.23480 6.26985 6.50111 6.83892 7.13534 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.095 4.095 2 C -0.094 4.094 3 C -0.097 4.097 4 C 0.604 3.396 5 O -0.543 6.543 6 N -0.693 5.693 7 C 0.107 3.893 8 H 0.096 0.904 9 C -0.134 4.134 10 C -0.112 4.112 11 H 0.085 0.915 12 C 0.131 3.869 13 N -0.378 5.378 14 C 0.255 3.745 15 N -0.585 5.585 16 C 0.182 3.818 17 N -0.343 5.343 18 C -0.114 4.114 19 O -0.162 6.162 20 C 0.010 3.990 21 C 0.136 3.864 22 O -0.326 6.326 23 C 0.125 3.875 24 C -0.202 4.202 25 C -0.079 4.079 26 C -0.157 4.157 27 C -0.079 4.079 28 O -0.551 6.551 29 Si 0.767 3.233 30 C -0.059 4.059 31 C -0.161 4.161 32 C -0.186 4.186 33 H 0.078 0.922 34 H 0.090 0.910 35 H 0.070 0.930 36 H 0.412 0.588 37 H 0.047 0.953 38 H 0.097 0.903 39 H 0.099 0.901 40 H 0.143 0.857 41 H 0.258 0.742 42 H 0.229 0.771 43 H 0.126 0.874 44 H 0.090 0.910 45 H 0.100 0.900 46 H 0.132 0.868 47 H 0.158 0.842 48 H 0.148 0.852 49 H 0.123 0.877 50 H 0.385 0.615 51 H -0.307 1.307 52 H -0.280 1.280 53 H 0.136 0.864 54 H 0.132 0.868 55 H 0.185 0.815 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 1.701 -0.691 -1.303 2.251 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 -0.151 4.151 2 C -0.097 4.097 3 C -0.149 4.149 4 C 0.392 3.608 5 O -0.423 6.423 6 N -0.343 5.343 7 C 0.002 3.998 8 H 0.114 0.886 9 C -0.173 4.173 10 C -0.132 4.132 11 H 0.103 0.897 12 C 0.011 3.989 13 N -0.168 5.168 14 C -0.041 4.041 15 N -0.313 5.313 16 C -0.120 4.120 17 N -0.171 5.171 18 C -0.152 4.152 19 O -0.059 6.059 20 C -0.041 4.041 21 C 0.062 3.938 22 O -0.241 6.241 23 C 0.080 3.920 24 C -0.221 4.221 25 C -0.096 4.096 26 C -0.157 4.157 27 C -0.188 4.188 28 O -0.359 6.359 29 Si 0.672 3.328 30 C -0.078 4.078 31 C -0.180 4.180 32 C -0.204 4.204 33 H 0.097 0.903 34 H 0.108 0.892 35 H 0.089 0.911 36 H 0.249 0.751 37 H 0.066 0.934 38 H 0.116 0.884 39 H 0.117 0.883 40 H 0.161 0.839 41 H 0.274 0.726 42 H 0.245 0.755 43 H 0.144 0.856 44 H 0.109 0.891 45 H 0.118 0.882 46 H 0.150 0.850 47 H 0.175 0.825 48 H 0.165 0.835 49 H 0.141 0.859 50 H 0.234 0.766 51 H -0.236 1.236 52 H -0.206 1.206 53 H 0.153 0.847 54 H 0.150 0.850 55 H 0.203 0.797 Dipole moment (debyes) X Y Z Total from point charges 1.112 -0.870 -1.122 1.803 hybrid contribution 0.870 0.869 -0.255 1.256 sum 1.982 -0.001 -1.377 2.413 Atomic orbital electron populations 1.20461 0.87366 1.03979 1.03337 1.20991 0.98487 0.91294 0.98884 1.21847 0.81756 0.94871 1.16402 1.16601 0.85608 0.82328 0.76303 1.90853 1.16810 1.82710 1.51932 1.45519 1.09833 1.05520 1.73422 1.22096 1.00223 0.79314 0.98188 0.88571 1.23410 0.97176 1.00452 0.96279 1.22776 0.96842 0.96191 0.97358 0.89689 1.22252 1.01206 0.97864 0.77607 1.50768 1.13345 1.44136 1.08587 1.26896 0.88239 0.95356 0.93592 1.70544 1.28508 1.23573 1.08682 1.26430 0.87401 0.96866 1.01328 1.78021 1.23528 1.23408 0.92191 1.23290 0.96844 1.00068 0.95046 1.83957 1.28087 1.22704 1.71162 1.22443 0.97047 0.80227 1.04418 1.21251 0.91551 0.98182 0.82798 1.86108 1.42394 1.66430 1.29129 1.19102 0.86461 0.91702 0.94713 1.21467 0.98482 1.03225 0.98902 1.21075 0.95850 0.96059 0.96648 1.20257 0.99102 1.02662 0.93697 1.25174 0.86725 0.96258 1.10649 1.86577 1.56240 1.43144 1.49910 0.94118 0.83456 0.80749 0.74430 1.20944 0.92748 0.94554 0.99508 1.20633 0.99126 1.02879 0.95366 1.21907 0.90806 1.01290 1.06440 0.90309 0.89155 0.91136 0.75116 0.93385 0.88433 0.88269 0.83914 0.72604 0.75525 0.85627 0.89097 0.88168 0.85017 0.82473 0.83510 0.85935 0.76551 1.23613 1.20643 0.84655 0.84962 0.79723 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 -0.10 -0.33 9.81 71.24 0.70 0.37 16 2 C -0.09 -0.48 6.20 -19.75 -0.12 -0.60 16 3 C -0.10 -0.63 7.13 24.07 0.17 -0.46 16 4 C 0.60 4.56 7.79 86.44 0.67 5.23 16 5 O -0.54 -7.11 14.34 -4.31 -0.06 -7.18 16 6 N -0.69 -0.91 5.26 -443.73 -2.33 -3.24 16 7 C 0.11 -0.15 4.33 45.57 0.20 0.05 16 8 H 0.10 0.17 7.46 -2.38 -0.02 0.15 16 9 C -0.13 0.14 7.44 31.18 0.23 0.37 16 10 C -0.11 0.72 3.72 -10.27 -0.04 0.68 16 11 H 0.08 -0.34 8.14 -2.38 -0.02 -0.35 16 12 C 0.13 -1.13 6.37 86.38 0.55 -0.58 16 13 N -0.38 0.36 3.69 -352.06 -1.30 -0.94 16 14 C 0.26 -0.40 12.63 180.36 2.28 1.88 16 15 N -0.59 -3.33 11.19 -203.99 -2.28 -5.61 16 16 C 0.18 0.98 13.03 180.76 2.36 3.33 16 17 N -0.34 -1.98 12.57 -61.24 -0.77 -2.75 16 18 C -0.11 1.03 7.39 31.12 0.23 1.26 16 19 O -0.16 -0.67 10.40 -5.14 -0.05 -0.72 16 20 C 0.01 0.01 6.94 24.97 0.17 0.18 16 21 C 0.14 -0.63 5.27 71.24 0.38 -0.25 16 22 O -0.33 -0.30 10.12 -92.46 -0.94 -1.24 16 23 C 0.13 0.01 6.69 22.51 0.15 0.16 16 24 C -0.20 0.77 9.04 22.37 0.20 0.97 16 25 C -0.08 0.29 8.66 22.26 0.19 0.48 16 26 C -0.16 0.23 5.35 -19.85 -0.11 0.13 16 27 C -0.08 0.14 2.80 71.24 0.20 0.34 16 28 O -0.55 -0.96 12.83 -148.98 -1.91 -2.88 16 29 Si 0.77 -2.59 29.88 68.60 2.05 -0.54 16 30 C -0.06 -0.01 9.68 22.25 0.22 0.21 16 31 C -0.16 -0.17 9.99 22.36 0.22 0.05 16 32 C -0.19 -0.15 10.73 22.07 0.24 0.09 16 33 H 0.08 0.23 8.14 -2.38 -0.02 0.21 16 34 H 0.09 -0.08 8.14 -2.39 -0.02 -0.10 16 35 H 0.07 0.52 6.45 -2.39 -0.02 0.51 16 36 H 0.41 -0.81 8.46 -92.71 -0.78 -1.60 16 37 H 0.05 0.25 8.14 -2.39 -0.02 0.23 16 38 H 0.10 -0.16 7.92 -2.39 -0.02 -0.18 16 39 H 0.10 -0.91 7.88 -2.38 -0.02 -0.93 16 40 H 0.14 -2.29 8.09 -2.39 -0.02 -2.31 16 41 H 0.26 -3.05 8.06 -2.91 -0.02 -3.07 16 42 H 0.23 0.02 8.06 -2.91 -0.02 -0.01 16 43 H 0.13 -1.61 8.10 -2.39 -0.02 -1.63 16 44 H 0.09 -0.92 8.14 -2.39 -0.02 -0.93 16 45 H 0.10 -0.76 7.65 -2.38 -0.02 -0.78 16 46 H 0.13 -1.38 7.67 -2.39 -0.02 -1.40 16 47 H 0.16 -1.49 6.30 -2.91 -0.02 -1.51 16 48 H 0.15 -1.10 4.83 -2.91 -0.01 -1.11 16 49 H 0.12 -0.38 7.96 -2.39 -0.02 -0.40 16 50 H 0.39 -1.46 8.70 -74.06 -0.64 -2.11 16 51 H -0.31 -1.58 7.11 99.48 0.71 -0.87 16 52 H -0.28 0.08 7.00 99.48 0.70 0.77 16 53 H 0.14 -0.14 8.06 -2.91 -0.02 -0.16 16 54 H 0.13 0.06 8.06 -2.91 -0.02 0.03 16 55 H 0.19 -0.88 8.06 -2.91 -0.02 -0.90 16 Total: 0.00 -30.68 463.83 1.05 -29.63 By element: Atomic # 1 Polarization: -18.01 SS G_CDS: -0.44 Total: -18.44 kcal Atomic # 6 Polarization: 4.81 SS G_CDS: 9.09 Total: 13.90 kcal Atomic # 7 Polarization: -5.86 SS G_CDS: -6.68 Total: -12.54 kcal Atomic # 8 Polarization: -9.05 SS G_CDS: -2.96 Total: -12.01 kcal Atomic # 14 Polarization: -2.59 SS G_CDS: 2.05 Total: -0.54 kcal Total: -30.68 1.05 -29.63 kcal The number of atoms in the molecule is 55 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. s_22_14688106_4549632.mol2 55 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 100.186 kcal (2) G-P(sol) polarization free energy of solvation -30.682 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 69.504 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 1.054 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -29.627 kcal (6) G-S(sol) free energy of system = (1) + (5) 70.558 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.61 seconds