Wall clock time and date at job start Sun Mar 7 2021 03:20:36 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 O 2 2 C 1.42897 * 1 3 3 Si 1.86306 * 109.46860 * 2 1 4 4 C 1.50701 * 109.47651 * 120.00016 * 2 1 3 5 5 C 1.34702 * 125.66518 * 64.99822 * 4 2 1 6 6 C 1.40962 * 107.03124 * 180.02562 * 5 4 2 7 7 C 1.35935 * 106.74311 * 0.02562 * 6 5 4 8 8 C 1.47816 * 125.93646 * 179.73672 * 7 6 5 9 9 C 1.39813 * 119.99502 * 359.72294 * 8 7 6 10 10 C 1.37813 * 120.24114 * 179.76150 * 9 8 7 11 11 C 1.38772 * 120.24248 * 0.52053 * 10 9 8 12 12 O 1.35656 * 120.00160 * 179.76242 * 11 10 9 13 13 C 1.40247 * 119.99910 * 359.73624 * 11 10 9 14 14 C 1.47567 * 120.12150 * 180.02562 * 13 11 10 15 15 O 1.21593 * 119.99869 * 359.97304 * 14 13 11 16 16 N 1.34770 * 120.00119 * 179.97438 * 14 13 11 17 17 C 1.46504 * 120.00464 * 179.97438 * 16 14 13 18 18 H 1.09000 * 109.46527 * 34.99919 * 17 16 14 19 19 C 1.52993 * 109.47416 * 154.99686 * 17 16 14 20 20 C 1.52997 * 109.47261 * 179.97438 * 19 17 16 21 21 C 1.52998 * 109.47684 * 300.00419 * 20 19 17 22 22 H 1.08996 * 109.46992 * 300.00323 * 21 20 19 23 23 C 1.50698 * 109.47630 * 179.97438 * 21 20 19 24 24 N 1.30634 * 119.25291 * 334.72832 * 23 21 20 25 25 C 1.33516 * 121.50867 * 179.76006 * 24 23 21 26 26 C 1.36206 * 119.90695 * 0.50960 * 25 24 23 27 27 C 1.41025 * 118.59265 * 359.75461 * 26 25 24 28 28 O 1.21980 * 120.70950 * 180.02562 * 27 26 25 29 29 N 1.34746 * 119.25397 * 154.99852 * 23 21 20 30 30 C 1.53005 * 109.46849 * 59.99312 * 21 20 19 31 31 C 1.52997 * 109.47696 * 300.00416 * 30 21 20 32 32 C 1.39214 * 120.00508 * 180.02562 * 8 7 6 33 33 O 1.34339 * 125.66380 * 245.04477 * 4 2 1 34 34 H 0.96691 * 114.00845 * 60.00043 * 1 2 3 35 35 H 1.09002 * 109.47236 * 240.00493 * 2 1 3 36 36 H 1.48507 * 109.99760 * 298.68468 * 3 2 1 37 37 H 1.48496 * 109.99790 * 60.00191 * 3 2 1 38 38 H 1.08007 * 126.48448 * 0.02562 * 5 4 2 39 39 H 1.08004 * 126.63163 * 180.02562 * 6 5 4 40 40 H 1.08001 * 119.87796 * 0.02562 * 9 8 7 41 41 H 1.08001 * 119.87645 * 180.25431 * 10 9 8 42 42 H 0.96703 * 113.99847 * 269.98210 * 12 11 10 43 43 H 0.97006 * 120.00231 * 359.97438 * 16 14 13 44 44 H 1.08995 * 109.47512 * 300.00624 * 19 17 16 45 45 H 1.09000 * 109.47083 * 60.00573 * 19 17 16 46 46 H 1.09004 * 109.46985 * 60.00312 * 20 19 17 47 47 H 1.09000 * 109.47564 * 180.02562 * 20 19 17 48 48 H 1.08000 * 120.04948 * 180.26575 * 25 24 23 49 49 H 1.07994 * 120.70884 * 179.73123 * 26 25 24 50 50 H 0.97000 * 120.04156 * 0.02562 * 29 23 21 51 51 H 1.09004 * 109.46852 * 60.00700 * 30 21 20 52 52 H 1.09005 * 109.47295 * 180.02562 * 30 21 20 53 53 H 1.09004 * 109.47202 * 300.00070 * 31 30 21 54 54 H 1.08993 * 109.47284 * 179.97438 * 31 30 21 55 55 H 1.08004 * 120.11883 * 359.95240 * 32 8 7 Note: An asterisk (*) indicates this parameter was or will be optimized. Cartesian coordinates (angstroms) NO. Atom X Y Z 1 8 0.0000 0.0000 0.0000 2 6 1.4290 0.0000 0.0000 3 14 2.0499 1.7565 0.0000 4 6 1.9314 -0.7104 1.2304 5 6 1.7572 -2.0167 1.5093 6 6 2.3815 -2.2609 2.7493 7 6 2.9072 -1.0775 3.1630 8 6 3.6522 -0.8512 4.4194 9 6 3.8636 -1.9103 5.3072 10 6 4.5618 -1.7061 6.4777 11 6 5.0508 -0.4452 6.7889 12 8 5.7332 -0.2486 7.9447 13 6 4.8399 0.6257 5.9082 14 6 5.3593 1.9675 6.2362 15 8 5.9708 2.1463 7.2718 16 7 5.1557 2.9947 5.3879 17 6 5.6707 4.3270 5.7137 18 1 6.6212 4.2306 6.2386 19 6 5.8790 5.1228 4.4237 20 6 6.4162 6.5143 4.7640 21 6 5.4115 7.2447 5.6573 22 1 4.4612 7.3406 5.1322 23 6 5.9410 8.6151 5.9930 24 7 7.2304 8.8238 5.9729 25 6 7.7480 10.0211 6.2580 26 6 6.9256 11.0551 6.5891 27 6 5.5339 10.8286 6.6160 28 8 4.7620 11.7273 6.9068 29 7 5.0740 9.5959 6.3125 30 6 5.2033 6.4487 6.9473 31 6 4.6659 5.0572 6.6070 32 6 4.1379 0.4180 4.7217 33 8 2.6267 -0.1459 2.2317 34 1 -0.3934 0.4416 -0.7649 35 1 1.7923 -0.5138 -0.8900 36 1 1.5876 2.4586 -1.2243 37 1 1.5614 2.4679 1.2085 38 1 1.2375 -2.7400 0.8984 39 1 2.4325 -3.2057 3.2701 40 1 3.4821 -2.8931 5.0728 41 1 4.7252 -2.5294 7.1573 42 1 5.1745 -0.0001 8.6939 43 1 4.6681 2.8520 4.5615 44 1 6.5944 4.6024 3.7871 45 1 4.9286 5.2192 3.8988 46 1 7.3666 6.4184 5.2892 47 1 6.5642 7.0815 3.8451 48 1 8.8175 10.1684 6.2301 49 1 7.3306 12.0277 6.8262 50 1 4.1209 9.4165 6.3250 51 1 6.1536 6.3528 7.4724 52 1 4.4871 6.9688 7.5836 53 1 3.7155 5.1531 6.0819 54 1 4.5180 4.4901 7.5260 55 1 3.9721 1.2385 4.0393 There are 80 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 80 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_13456076_13259648.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 03:20:36 Heat of formation + Delta-G solvation = -59.707283 kcal Electronic energy + Delta-G solvation = -42100.720711 eV Core-core repulsion = 36650.382558 eV Total energy + Delta-G solvation = -5450.338152 eV No. of doubly occupied orbitals = 80 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 438.172 amu Computer time = 2.03 seconds Orbital eigenvalues (eV) -43.66921 -42.90307 -41.61601 -40.29736 -39.32697 -38.40736 -38.10208 -37.79745 -35.84460 -35.16993 -34.20309 -33.10172 -32.71296 -32.04681 -31.76623 -30.17189 -29.87711 -26.32543 -26.12174 -25.52388 -24.88311 -23.73089 -23.53283 -23.03723 -22.42258 -21.53349 -21.27657 -20.80852 -19.78874 -19.59159 -19.16405 -18.90633 -18.76577 -17.83685 -17.77313 -17.47332 -17.07624 -17.05457 -16.61626 -16.49184 -16.28737 -16.00323 -15.89863 -15.80905 -15.62940 -15.48050 -15.21474 -15.03843 -14.62091 -14.49379 -14.43126 -14.24401 -14.07025 -14.03214 -13.96529 -13.92106 -13.57816 -13.38477 -13.16236 -13.13468 -13.06368 -12.77010 -12.50539 -12.33944 -12.12436 -12.08185 -12.04424 -11.83395 -11.59539 -11.38697 -11.31430 -11.08964 -11.03961 -10.82920 -10.66369 -10.41532 -10.27881 -10.00475 -9.67121 -8.87364 -4.92873 -0.53116 -0.45898 -0.17355 0.67534 0.77770 1.18766 1.42092 1.52624 1.55291 1.74518 1.91945 1.96079 2.06772 2.49942 2.66324 2.77483 3.13441 3.23509 3.40030 3.47656 3.56855 3.61250 3.65435 3.70564 3.71957 3.86305 3.98546 4.04210 4.08744 4.16117 4.17686 4.22474 4.29092 4.33588 4.36418 4.39970 4.45446 4.49898 4.51999 4.64785 4.67899 4.70851 4.82383 4.83157 4.88422 4.90592 5.01270 5.04698 5.07353 5.15293 5.18657 5.22555 5.24540 5.31919 5.35028 5.42662 5.46624 5.46955 5.53411 5.57308 6.02664 6.48630 6.52818 6.66068 6.70768 6.74764 7.18900 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 O -0.556 6.556 2 C -0.047 4.047 3 Si 0.768 3.232 4 C -0.018 4.018 5 C -0.183 4.183 6 C -0.191 4.191 7 C 0.024 3.976 8 C -0.042 4.042 9 C -0.046 4.046 10 C -0.148 4.148 11 C 0.163 3.837 12 O -0.494 6.494 13 C -0.179 4.179 14 C 0.558 3.442 15 O -0.557 6.557 16 N -0.713 5.713 17 C 0.143 3.857 18 H 0.069 0.931 19 C -0.120 4.120 20 C -0.091 4.091 21 C -0.041 4.041 22 H 0.130 0.870 23 C 0.410 3.590 24 N -0.543 5.543 25 C 0.173 3.827 26 C -0.319 4.319 27 C 0.509 3.491 28 O -0.594 6.594 29 N -0.615 5.615 30 C -0.103 4.103 31 C -0.120 4.120 32 C -0.050 4.050 33 O -0.173 6.173 34 H 0.404 0.596 35 H 0.124 0.876 36 H -0.269 1.269 37 H -0.298 1.298 38 H 0.162 0.838 39 H 0.175 0.825 40 H 0.164 0.836 41 H 0.162 0.838 42 H 0.410 0.590 43 H 0.411 0.589 44 H 0.083 0.917 45 H 0.093 0.907 46 H 0.075 0.925 47 H 0.083 0.917 48 H 0.198 0.802 49 H 0.159 0.841 50 H 0.428 0.572 51 H 0.064 0.936 52 H 0.077 0.923 53 H 0.086 0.914 54 H 0.053 0.947 55 H 0.151 0.849 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -0.904 -6.669 -7.441 10.033 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 O -0.368 6.368 2 C -0.155 4.155 3 Si 0.671 3.329 4 C -0.067 4.067 5 C -0.202 4.202 6 C -0.209 4.209 7 C -0.026 4.026 8 C -0.042 4.042 9 C -0.064 4.064 10 C -0.166 4.166 11 C 0.116 3.884 12 O -0.308 6.308 13 C -0.182 4.182 14 C 0.346 3.654 15 O -0.436 6.436 16 N -0.365 5.365 17 C 0.039 3.961 18 H 0.087 0.913 19 C -0.158 4.158 20 C -0.130 4.130 21 C -0.061 4.061 22 H 0.148 0.852 23 C 0.145 3.855 24 N -0.266 5.266 25 C 0.034 3.966 26 C -0.343 4.343 27 C 0.310 3.690 28 O -0.477 6.477 29 N -0.253 5.253 30 C -0.142 4.142 31 C -0.159 4.159 32 C -0.069 4.069 33 O -0.071 6.071 34 H 0.257 0.743 35 H 0.141 0.859 36 H -0.194 1.194 37 H -0.225 1.225 38 H 0.180 0.820 39 H 0.193 0.807 40 H 0.181 0.819 41 H 0.180 0.820 42 H 0.270 0.730 43 H 0.249 0.751 44 H 0.102 0.898 45 H 0.111 0.889 46 H 0.094 0.906 47 H 0.102 0.898 48 H 0.215 0.785 49 H 0.176 0.824 50 H 0.269 0.731 51 H 0.083 0.917 52 H 0.095 0.905 53 H 0.105 0.895 54 H 0.071 0.929 55 H 0.168 0.832 Dipole moment (debyes) X Y Z Total from point charges 0.310 -5.685 -6.473 8.621 hybrid contribution -2.665 0.620 0.102 2.738 sum -2.354 -5.065 -6.371 8.473 Atomic orbital electron populations 1.86516 1.17609 1.80941 1.51728 1.24087 0.84526 1.13006 0.93918 0.93757 0.90255 0.71473 0.77411 1.21714 1.00457 0.92974 0.91561 1.21792 1.03793 0.96125 0.98485 1.22157 1.02131 0.99186 0.97454 1.20442 1.03755 0.87728 0.90672 1.17694 1.00477 0.94664 0.91345 1.21407 0.94569 0.99199 0.91223 1.21564 0.98888 0.97038 0.99106 1.18890 0.89897 0.91775 0.87822 1.84711 1.36435 1.91026 1.18610 1.20294 1.05549 0.93996 0.98402 1.18204 0.79142 0.84526 0.83555 1.90815 1.41774 1.84788 1.26259 1.45932 1.57863 1.08678 1.24027 1.21082 0.97170 0.80697 0.97129 0.91288 1.21815 1.03670 0.94845 0.95476 1.21323 0.98026 0.94140 0.99499 1.20678 1.01647 0.85164 0.98588 0.85194 1.23693 0.86026 0.91037 0.84704 1.68387 1.09595 1.24074 1.24593 1.23186 1.02476 0.85898 0.85048 1.23003 0.91511 1.04563 1.15215 1.17668 0.91326 0.81535 0.78502 1.90987 1.60491 1.43382 1.52801 1.44638 1.13796 1.10924 1.55900 1.21489 1.02359 0.94950 0.95410 1.21826 0.99471 0.94665 0.99922 1.21413 0.93640 0.97187 0.94642 1.83875 1.58386 1.38260 1.26582 0.74343 0.85891 1.19411 1.22488 0.82024 0.80717 0.81864 0.82003 0.72990 0.75148 0.89832 0.88886 0.90607 0.89848 0.78474 0.82361 0.73135 0.91703 0.90472 0.89501 0.92859 0.83176 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 O -0.56 0.77 12.86 -148.98 -1.92 -1.15 16 2 C -0.05 0.18 2.97 71.24 0.21 0.39 16 3 Si 0.77 -3.93 32.11 68.60 2.20 -1.73 16 4 C -0.02 -0.01 6.24 24.87 0.16 0.14 16 5 C -0.18 -0.08 10.78 22.13 0.24 0.16 16 6 C -0.19 0.18 10.26 22.40 0.23 0.41 16 7 C 0.02 0.01 7.03 24.27 0.17 0.18 16 8 C -0.04 0.05 5.87 -20.13 -0.12 -0.06 16 9 C -0.05 0.18 9.54 22.55 0.22 0.40 16 10 C -0.15 0.38 9.96 22.30 0.22 0.60 16 11 C 0.16 0.36 6.72 22.89 0.15 0.51 16 12 O -0.49 -2.22 11.55 -68.72 -0.79 -3.01 16 13 C -0.18 -0.33 5.88 -20.04 -0.12 -0.45 16 14 C 0.56 2.29 7.73 86.71 0.67 2.96 16 15 O -0.56 -6.53 14.81 16.98 0.25 -6.28 16 16 N -0.71 2.13 5.03 -445.67 -2.24 -0.11 16 17 C 0.14 -0.59 2.46 44.99 0.11 -0.48 16 18 H 0.07 0.12 7.58 -2.39 -0.02 0.10 16 19 C -0.12 1.16 5.39 30.59 0.16 1.32 16 20 C -0.09 0.76 4.67 30.59 0.14 0.91 16 21 C -0.04 0.36 2.48 -11.54 -0.03 0.33 16 22 H 0.13 -1.81 8.14 -2.39 -0.02 -1.83 16 23 C 0.41 -1.39 6.73 138.18 0.93 -0.46 16 24 N -0.54 0.52 9.12 -187.56 -1.71 -1.19 16 25 C 0.17 -0.21 11.20 83.96 0.94 0.73 16 26 C -0.32 -1.09 10.07 22.48 0.23 -0.86 16 27 C 0.51 3.90 7.75 84.89 0.66 4.56 16 28 O -0.59 -10.15 17.97 -5.25 -0.09 -10.25 16 29 N -0.62 0.52 5.25 -310.69 -1.63 -1.11 16 30 C -0.10 0.66 5.18 30.59 0.16 0.82 16 31 C -0.12 0.62 5.49 30.59 0.17 0.79 16 32 C -0.05 0.08 9.20 22.79 0.21 0.29 16 33 O -0.17 -0.24 8.80 -6.55 -0.06 -0.30 16 34 H 0.40 -4.14 8.74 -74.06 -0.65 -4.79 16 35 H 0.12 -1.15 7.96 -2.39 -0.02 -1.17 16 36 H -0.27 0.70 7.11 99.48 0.71 1.40 16 37 H -0.30 -0.83 7.11 99.48 0.71 -0.12 16 38 H 0.16 -0.35 8.06 -2.91 -0.02 -0.38 16 39 H 0.18 -1.09 7.25 -2.91 -0.02 -1.11 16 40 H 0.16 -1.51 6.96 -2.91 -0.02 -1.54 16 41 H 0.16 -1.05 8.06 -2.91 -0.02 -1.07 16 42 H 0.41 -1.03 9.06 -74.06 -0.67 -1.70 16 43 H 0.41 -3.35 6.63 -92.70 -0.61 -3.97 16 44 H 0.08 -0.79 8.14 -2.39 -0.02 -0.81 16 45 H 0.09 -1.24 8.14 -2.39 -0.02 -1.26 16 46 H 0.08 -0.36 7.75 -2.39 -0.02 -0.38 16 47 H 0.08 -0.75 8.14 -2.39 -0.02 -0.77 16 48 H 0.20 -1.48 8.06 -2.91 -0.02 -1.50 16 49 H 0.16 0.35 8.06 -2.91 -0.02 0.32 16 50 H 0.43 -2.34 8.78 -92.71 -0.81 -3.15 16 51 H 0.06 -0.17 8.14 -2.39 -0.02 -0.19 16 52 H 0.08 -0.56 8.14 -2.38 -0.02 -0.58 16 53 H 0.09 -0.74 8.14 -2.39 -0.02 -0.76 16 54 H 0.05 0.02 8.14 -2.39 -0.02 0.00 16 55 H 0.15 -0.87 6.24 -2.91 -0.02 -0.89 16 Total: 0.00 -36.09 459.61 -1.97 -38.07 By element: Atomic # 1 Polarization: -24.45 SS G_CDS: -1.70 Total: -26.15 kcal Atomic # 6 Polarization: 7.49 SS G_CDS: 5.71 Total: 13.20 kcal Atomic # 7 Polarization: 3.18 SS G_CDS: -5.58 Total: -2.41 kcal Atomic # 8 Polarization: -18.38 SS G_CDS: -2.61 Total: -20.98 kcal Atomic # 14 Polarization: -3.93 SS G_CDS: 2.20 Total: -1.73 kcal Total: -36.09 -1.97 -38.07 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_13456076_13259648.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 -21.639 kcal (2) G-P(sol) polarization free energy of solvation -36.094 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -57.733 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -1.974 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -38.068 kcal (6) G-S(sol) free energy of system = (1) + (5) -59.707 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 2.04 seconds