Wall clock time and date at job start Tue Mar 9 2021 13:16:46 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 O 1.42902 * 1 3 3 C 1.35987 * 116.99915 * 2 1 4 4 C 1.39150 * 120.07552 * 179.97438 * 3 2 1 5 5 O 1.36001 * 120.07311 * 0.04094 * 4 3 2 6 6 C 1.42890 * 117.00645 * 180.02562 * 5 4 3 7 7 C 1.50693 * 109.47569 * 180.02562 * 6 5 4 8 8 O 1.21278 * 120.00321 * 0.02562 * 7 6 5 9 9 N 1.34777 * 120.00463 * 179.97438 * 7 6 5 10 10 C 1.46496 * 120.00528 * 179.97438 * 9 7 6 11 11 H 1.09005 * 112.84862 * 23.80791 * 10 9 7 12 12 C 1.53782 * 113.61611 * 154.99826 * 10 9 7 13 13 C 1.53780 * 87.08244 * 89.11974 * 12 10 9 14 14 H 1.09007 * 113.61266 * 270.89112 * 13 12 10 15 15 C 1.50698 * 113.61978 * 140.06614 * 13 12 10 16 16 C 1.38213 * 120.00021 * 119.72539 * 15 13 12 17 17 C 1.50695 * 120.00254 * 0.02562 * 16 15 13 18 18 C 1.38262 * 119.99448 * 179.74593 * 16 15 13 19 19 C 1.38211 * 120.00148 * 0.52782 * 18 16 15 20 20 C 1.38258 * 119.99794 * 359.75011 * 19 18 16 21 21 C 1.38205 * 120.00434 * 359.97438 * 20 19 18 22 22 C 1.53783 * 113.61726 * 252.49899 * 10 9 7 23 23 C 1.38562 * 119.86093 * 180.02562 * 4 3 2 24 24 C 1.38247 * 119.99672 * 359.97438 * 23 4 3 25 25 N 1.47996 * 119.92767 * 180.02562 * 24 23 4 26 26 O 1.21800 * 120.00083 * 0.02562 * 25 24 23 27 27 O 1.21807 * 120.00186 * 180.02562 * 25 24 23 28 28 C 1.38255 * 120.14202 * 359.72841 * 24 23 4 29 29 C 1.50703 * 119.92365 * 180.27417 * 28 24 23 30 30 O 1.42895 * 109.47199 * 75.27893 * 29 28 24 31 31 Si 1.86305 * 109.47136 * 195.27898 * 29 28 24 32 32 C 1.38238 * 120.15035 * 0.55875 * 28 24 23 33 33 H 1.09004 * 109.47192 * 179.97438 * 1 2 3 34 34 H 1.08998 * 109.47635 * 300.00056 * 1 2 3 35 35 H 1.09004 * 109.46842 * 60.00418 * 1 2 3 36 36 H 1.09005 * 109.47338 * 300.00459 * 6 5 4 37 37 H 1.09004 * 109.47528 * 59.99488 * 6 5 4 38 38 H 0.97004 * 119.99729 * 0.02562 * 9 7 6 39 39 H 1.09002 * 113.61562 * 203.66501 * 12 10 9 40 40 H 1.09007 * 113.61775 * 334.57137 * 12 10 9 41 41 H 1.08998 * 109.47315 * 89.99710 * 17 16 15 42 42 H 1.08995 * 109.47398 * 210.00136 * 17 16 15 43 43 H 1.08998 * 109.47183 * 330.00011 * 17 16 15 44 44 H 1.07996 * 119.99757 * 180.29977 * 18 16 15 45 45 H 1.08000 * 119.99933 * 179.76596 * 19 18 16 46 46 H 1.08007 * 119.99555 * 179.97438 * 20 19 18 47 47 H 1.08003 * 120.00381 * 180.02562 * 21 20 19 48 48 H 1.08999 * 113.61460 * 25.42711 * 22 10 9 49 49 H 1.08996 * 113.61491 * 156.33706 * 22 10 9 50 50 H 1.08001 * 120.00630 * 179.97438 * 23 4 3 51 51 H 1.08999 * 109.47267 * 315.27661 * 29 28 24 52 52 H 0.96708 * 113.99772 * 59.99976 * 30 29 28 53 53 H 1.48503 * 109.99789 * 58.68237 * 31 29 28 54 54 H 1.48495 * 109.99870 * 180.02562 * 31 29 28 55 55 H 1.08002 * 120.00519 * 179.72186 * 32 28 24 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 2.0464 1.2117 0.0000 4 6 3.4359 1.2863 0.0005 5 8 4.1796 0.1477 0.0002 6 6 5.6002 0.3006 0.0014 7 6 6.2518 -1.0582 0.0002 8 8 5.5670 -2.0591 -0.0019 9 7 7.5956 -1.1613 0.0005 10 6 8.2291 -2.4822 -0.0001 11 1 7.5835 -3.2610 -0.4062 12 6 9.6470 -2.4852 -0.5953 13 6 10.1581 -2.1820 0.8231 14 1 10.2141 -1.1170 1.0486 15 6 11.4203 -2.9232 1.1814 16 6 12.5649 -2.2210 1.5086 17 6 12.5506 -0.7141 1.5077 18 6 13.7214 -2.9012 1.8424 19 6 13.7360 -4.2832 1.8383 20 6 12.5926 -4.9856 1.5053 21 6 11.4349 -4.3058 1.1772 22 6 8.8772 -2.8553 1.3437 23 6 4.0603 2.5233 0.0011 24 6 3.3029 3.6798 0.0005 25 7 3.9714 5.0002 0.0005 26 8 5.1876 5.0671 0.0005 27 8 3.3054 6.0201 0.0005 28 6 1.9224 3.6056 -0.0062 29 6 1.1016 4.8695 -0.0130 30 8 1.1358 5.4527 -1.3171 31 14 -0.6600 4.4685 0.4419 32 6 1.2932 2.3748 -0.0008 33 1 -0.3634 -1.0277 -0.0005 34 1 -0.3634 0.5138 0.8899 35 1 -0.3633 0.5138 -0.8901 36 1 5.9072 0.8511 -0.8879 37 1 5.9059 0.8498 0.8920 38 1 8.1434 -0.3607 0.0018 39 1 9.9599 -3.4585 -0.9733 40 1 9.8244 -1.6773 -1.3053 41 1 12.2658 -0.3529 2.4958 42 1 13.5437 -0.3415 1.2569 43 1 11.8319 -0.3581 0.7697 44 1 14.6145 -2.3526 2.1028 45 1 14.6405 -4.8145 2.0954 46 1 12.6041 -6.0656 1.5017 47 1 10.5416 -4.8544 0.9175 48 1 8.4330 -2.3461 2.1989 49 1 8.9796 -3.9297 1.4957 50 1 5.1386 2.5840 0.0019 51 1 1.5125 5.5735 0.7107 52 1 0.7845 4.8805 -2.0131 53 1 -0.7059 3.8323 1.7830 54 1 -1.4799 5.7066 0.4382 55 1 0.2146 2.3196 -0.0015 There are 79 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 79 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_9744652_4549636.mol2 55 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED SCF FIELD WAS ACHIEVED Wall clock time and date at job start Tue Mar 9 2021 13:16:46 Heat of formation + Delta-G solvation = -41.775600 kcal Electronic energy + Delta-G solvation = -41250.091847 eV Core-core repulsion = 35803.727270 eV Total energy + Delta-G solvation = -5446.364576 eV No. of doubly occupied orbitals = 79 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 429.176 amu Computer time = 1.89 seconds Orbital eigenvalues (eV) -43.40323 -42.13865 -41.66792 -40.67311 -39.71344 -39.22587 -38.66380 -37.73087 -37.12955 -34.76604 -33.72699 -32.68040 -32.56222 -31.72493 -29.80347 -28.75210 -27.92151 -27.81213 -26.71884 -26.16470 -25.69089 -23.99422 -23.29453 -23.02298 -21.98968 -21.85955 -20.78730 -20.12946 -19.84162 -19.51179 -18.80225 -18.67679 -18.33605 -17.91293 -17.74576 -17.42505 -17.36138 -16.88171 -16.85197 -16.50543 -16.37231 -16.08956 -15.94689 -15.66812 -15.60643 -15.16011 -14.98291 -14.85469 -14.78995 -14.44604 -14.37691 -13.98638 -13.96207 -13.89580 -13.57394 -13.48189 -13.42967 -13.14145 -13.02960 -12.83299 -12.72915 -12.67153 -12.49615 -12.43643 -12.33080 -12.27494 -12.21453 -12.06713 -11.78065 -11.72887 -11.53470 -11.18775 -11.10270 -10.53332 -10.46105 -10.20824 -9.67782 -9.49201 -9.41944 -5.13643 -1.36706 -0.43533 0.16115 0.30374 0.42883 0.48098 1.12787 1.21843 1.36103 1.57256 1.89425 1.90040 1.93759 2.31701 2.79561 2.97912 3.17212 3.26924 3.44291 3.45653 3.50319 3.55952 3.66363 3.72056 3.87526 3.91610 3.93843 3.96152 4.02900 4.05782 4.06612 4.11352 4.20035 4.22620 4.25072 4.39384 4.41665 4.43535 4.55002 4.58431 4.61716 4.73269 4.75182 4.80928 4.81098 4.82226 4.84498 4.93862 4.99826 5.00784 5.12395 5.19696 5.25084 5.32889 5.46026 5.58810 5.63500 5.64238 5.77807 6.06079 6.14355 6.36979 6.46455 6.71349 7.05826 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C -0.005 4.005 2 O -0.307 6.307 3 C 0.171 3.829 4 C 0.100 3.900 5 O -0.290 6.290 6 C 0.027 3.973 7 C 0.519 3.481 8 O -0.564 6.564 9 N -0.692 5.692 10 C 0.119 3.881 11 H 0.086 0.914 12 C -0.124 4.124 13 C -0.069 4.069 14 H 0.116 0.884 15 C -0.080 4.080 16 C -0.094 4.094 17 C -0.118 4.118 18 C -0.135 4.135 19 C -0.133 4.133 20 C -0.138 4.138 21 C -0.124 4.124 22 C -0.143 4.143 23 C -0.109 4.109 24 C -0.046 4.046 25 N 0.036 4.964 26 O -0.185 6.185 27 O -0.168 6.168 28 C -0.040 4.040 29 C -0.092 4.092 30 O -0.536 6.536 31 Si 0.786 3.214 32 C -0.163 4.163 33 H 0.121 0.879 34 H 0.080 0.920 35 H 0.094 0.906 36 H 0.130 0.870 37 H 0.128 0.872 38 H 0.421 0.579 39 H 0.097 0.903 40 H 0.091 0.909 41 H 0.074 0.926 42 H 0.069 0.931 43 H 0.082 0.918 44 H 0.130 0.870 45 H 0.131 0.869 46 H 0.131 0.869 47 H 0.131 0.869 48 H 0.068 0.932 49 H 0.093 0.907 50 H 0.184 0.816 51 H 0.115 0.885 52 H 0.393 0.607 53 H -0.272 1.272 54 H -0.290 1.290 55 H 0.194 0.806 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -1.614 -3.161 -1.699 3.935 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 -0.098 4.098 2 O -0.219 6.219 3 C 0.122 3.878 4 C 0.053 3.947 5 O -0.203 6.203 6 C -0.051 4.051 7 C 0.305 3.695 8 O -0.442 6.442 9 N -0.346 5.346 10 C 0.013 3.987 11 H 0.105 0.895 12 C -0.162 4.162 13 C -0.087 4.087 14 H 0.134 0.866 15 C -0.080 4.080 16 C -0.094 4.094 17 C -0.175 4.175 18 C -0.153 4.153 19 C -0.151 4.151 20 C -0.156 4.156 21 C -0.141 4.141 22 C -0.181 4.181 23 C -0.129 4.129 24 C -0.131 4.131 25 N 0.549 4.451 26 O -0.396 6.396 27 O -0.381 6.381 28 C -0.042 4.042 29 C -0.200 4.200 30 O -0.343 6.343 31 Si 0.688 3.312 32 C -0.181 4.181 33 H 0.139 0.861 34 H 0.098 0.902 35 H 0.112 0.888 36 H 0.148 0.852 37 H 0.146 0.854 38 H 0.259 0.741 39 H 0.116 0.884 40 H 0.110 0.890 41 H 0.093 0.907 42 H 0.088 0.912 43 H 0.100 0.900 44 H 0.148 0.852 45 H 0.148 0.852 46 H 0.149 0.851 47 H 0.149 0.851 48 H 0.087 0.913 49 H 0.112 0.888 50 H 0.201 0.799 51 H 0.132 0.868 52 H 0.242 0.758 53 H -0.198 1.198 54 H -0.218 1.218 55 H 0.210 0.790 Dipole moment (debyes) X Y Z Total from point charges -2.767 -4.279 -0.831 5.163 hybrid contribution 1.464 1.000 0.444 1.828 sum -1.303 -3.279 -0.387 3.549 Atomic orbital electron populations 1.23818 0.74681 1.07091 1.04197 1.86333 1.24867 1.24501 1.86171 1.18677 0.89164 0.86389 0.93533 1.17961 0.88821 0.85097 1.02806 1.86300 1.18428 1.26810 1.88731 1.22906 0.78846 0.95958 1.07373 1.20308 0.82947 0.90453 0.75750 1.90784 1.63878 1.39797 1.49739 1.45342 1.05111 1.09696 1.74430 1.21832 0.94095 0.85136 0.97598 0.89541 1.23362 0.92450 1.04194 0.96150 1.21675 0.90231 1.00228 0.96580 0.86592 1.19716 0.94869 0.93519 0.99939 1.20098 0.93186 0.97192 0.98968 1.20896 1.03556 0.89949 1.03055 1.21313 0.98495 0.94686 1.00825 1.21400 0.98965 0.94647 1.00119 1.21383 0.93320 1.00719 1.00151 1.21212 0.98558 0.94138 1.00226 1.23549 0.95402 1.01916 0.97267 1.20905 1.03018 0.88127 1.00860 1.20560 0.92768 0.81920 1.17830 1.43718 1.00825 1.03437 0.97140 1.94500 0.96511 1.94121 1.54457 1.94577 1.64407 1.25428 1.53672 1.20224 0.91075 0.97660 0.95252 1.25773 1.10611 0.92855 0.90737 1.86668 1.87134 1.44655 1.15866 0.94401 0.71775 0.82225 0.82769 1.21082 1.01769 0.88090 1.07205 0.86069 0.90191 0.88800 0.85227 0.85440 0.74095 0.88429 0.89038 0.90739 0.91179 0.89957 0.85217 0.85152 0.85105 0.85072 0.91280 0.88827 0.79915 0.86769 0.75790 1.19783 1.21752 0.78976 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 0.00 0.05 9.81 113.37 1.11 1.16 16 2 O -0.31 0.20 10.28 -79.54 -0.82 -0.62 16 3 C 0.17 -0.25 6.70 22.57 0.15 -0.10 16 4 C 0.10 0.01 6.70 22.57 0.15 0.16 16 5 O -0.29 -0.80 9.45 -67.14 -0.63 -1.43 16 6 C 0.03 -0.13 5.22 71.23 0.37 0.24 16 7 C 0.52 0.42 7.91 87.65 0.69 1.12 16 8 O -0.56 -6.84 16.10 16.01 0.26 -6.59 16 9 N -0.69 3.79 5.26 -440.05 -2.32 1.47 16 10 C 0.12 -0.35 4.32 45.52 0.20 -0.15 16 11 H 0.09 0.17 7.46 -2.38 -0.02 0.15 16 12 C -0.12 0.73 7.29 31.12 0.23 0.96 16 13 C -0.07 0.34 3.40 -11.01 -0.04 0.30 16 14 H 0.12 -0.92 6.08 -2.38 -0.01 -0.94 16 15 C -0.08 0.03 5.29 -19.87 -0.11 -0.07 16 16 C -0.09 -0.03 5.88 -19.87 -0.12 -0.15 16 17 C -0.12 0.51 9.32 71.23 0.66 1.17 16 18 C -0.14 -0.21 9.70 22.27 0.22 0.01 16 19 C -0.13 -0.23 10.05 22.27 0.22 -0.01 16 20 C -0.14 -0.20 10.05 22.27 0.22 0.02 16 21 C -0.12 -0.07 8.61 22.27 0.19 0.12 16 22 C -0.14 0.41 7.26 31.12 0.23 0.64 16 23 C -0.11 0.11 8.54 22.35 0.19 0.30 16 24 C -0.05 -0.14 6.85 36.39 0.25 0.11 16 25 N 0.04 0.33 4.45 -46.46 -0.21 0.12 16 26 O -0.18 -1.89 18.44 18.89 0.35 -1.54 16 27 O -0.17 -2.12 14.64 25.04 0.37 -1.76 16 28 C -0.04 0.03 5.26 -19.86 -0.10 -0.07 16 29 C -0.09 0.01 1.74 71.24 0.12 0.13 16 30 O -0.54 -0.53 11.83 -129.82 -1.54 -2.07 16 31 Si 0.79 -4.27 29.91 68.60 2.05 -2.22 16 32 C -0.16 0.90 7.65 22.35 0.17 1.07 16 33 H 0.12 -1.42 8.14 -2.38 -0.02 -1.44 16 34 H 0.08 -1.06 7.66 -2.39 -0.02 -1.08 16 35 H 0.09 -1.45 7.66 -2.38 -0.02 -1.47 16 36 H 0.13 -1.43 7.66 -2.38 -0.02 -1.45 16 37 H 0.13 -1.37 7.66 -2.39 -0.02 -1.39 16 38 H 0.42 -5.29 8.70 -92.71 -0.81 -6.10 16 39 H 0.10 -0.48 7.72 -2.39 -0.02 -0.50 16 40 H 0.09 -0.75 8.14 -2.38 -0.02 -0.77 16 41 H 0.07 -0.36 8.14 -2.39 -0.02 -0.38 16 42 H 0.07 -0.33 8.09 -2.39 -0.02 -0.34 16 43 H 0.08 -0.59 6.34 -2.39 -0.02 -0.61 16 44 H 0.13 -0.17 8.06 -2.91 -0.02 -0.19 16 45 H 0.13 -0.16 8.06 -2.91 -0.02 -0.19 16 46 H 0.13 -0.20 8.06 -2.91 -0.02 -0.22 16 47 H 0.13 -0.28 6.67 -2.91 -0.02 -0.30 16 48 H 0.07 -0.10 8.14 -2.39 -0.02 -0.12 16 49 H 0.09 -0.21 6.32 -2.39 -0.02 -0.22 16 50 H 0.18 -1.04 5.85 -2.91 -0.02 -1.06 16 51 H 0.12 0.55 6.04 -2.39 -0.01 0.53 16 52 H 0.39 -3.54 8.70 -74.05 -0.64 -4.19 16 53 H -0.27 0.56 7.11 99.48 0.71 1.27 16 54 H -0.29 -0.77 7.11 99.48 0.71 -0.06 16 55 H 0.19 -2.46 3.36 -2.91 -0.01 -2.47 16 Total: 0.00 -33.31 450.86 2.11 -31.20 By element: Atomic # 1 Polarization: -23.12 SS G_CDS: -0.42 Total: -23.54 kcal Atomic # 6 Polarization: 1.94 SS G_CDS: 5.02 Total: 6.96 kcal Atomic # 7 Polarization: 4.12 SS G_CDS: -2.52 Total: 1.60 kcal Atomic # 8 Polarization: -11.98 SS G_CDS: -2.02 Total: -14.00 kcal Atomic # 14 Polarization: -4.27 SS G_CDS: 2.05 Total: -2.22 kcal Total: -33.31 2.11 -31.20 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_9744652_4549636.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 -10.576 kcal (2) G-P(sol) polarization free energy of solvation -33.314 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -43.890 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.115 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -31.199 kcal (6) G-S(sol) free energy of system = (1) + (5) -41.776 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.89 seconds