Wall clock time and date at job start Tue Mar 9 2021 13:04:13 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 1.45202 * 1 3 3 C 1.34710 * 117.00280 * 2 1 4 4 O 1.21470 * 119.99944 * 359.97438 * 3 2 1 5 5 C 1.47727 * 119.99864 * 180.02562 * 3 2 1 6 6 C 1.39613 * 120.14666 * 154.09766 * 5 3 2 7 7 C 1.50696 * 120.07894 * 359.97438 * 6 5 3 8 8 H 1.09007 * 112.84834 * 342.17348 * 7 6 5 9 9 C 1.53782 * 113.61775 * 113.37130 * 7 6 5 10 10 C 1.53778 * 87.07876 * 139.98065 * 9 7 6 11 11 H 1.09002 * 113.61259 * 219.93219 * 10 9 7 12 12 N 1.46506 * 113.61279 * 89.12223 * 10 9 7 13 13 C 1.34771 * 120.00039 * 154.99941 * 12 10 9 14 14 O 1.21276 * 120.00318 * 359.97438 * 13 12 10 15 15 C 1.50704 * 119.99757 * 179.97438 * 13 12 10 16 16 N 1.46509 * 109.46764 * 179.97438 * 15 13 12 17 17 C 1.36830 * 125.06256 * 265.01980 * 16 15 13 18 18 C 1.34233 * 109.93987 * 179.73988 * 17 16 15 19 19 C 1.50692 * 126.50475 * 180.24823 * 18 17 16 20 20 O 1.42895 * 109.47496 * 105.02031 * 19 18 17 21 21 Si 1.86304 * 109.47001 * 345.02455 * 19 18 17 22 22 C 1.46498 * 106.99680 * 0.26477 * 18 17 16 23 23 C 1.39586 * 134.03509 * 179.97438 * 22 18 17 24 24 C 1.36667 * 119.76385 * 179.97438 * 23 22 18 25 25 C 1.38789 * 120.52518 * 0.04289 * 24 23 22 26 26 C 1.37787 * 120.66700 * 359.97438 * 25 24 23 27 27 C 1.37692 * 125.06027 * 85.23198 * 16 15 13 28 28 C 1.53777 * 87.08365 * 334.56834 * 10 9 7 29 29 C 1.37968 * 119.84419 * 179.70234 * 6 5 3 30 30 C 1.38342 * 120.15259 * 0.25797 * 29 6 5 31 31 C 1.38394 * 120.30202 * 0.02562 * 30 29 6 32 32 C 1.37923 * 120.14858 * 0.02562 * 31 30 29 33 33 H 1.08998 * 109.46730 * 300.00385 * 1 2 3 34 34 H 1.08999 * 109.46748 * 59.99355 * 1 2 3 35 35 H 1.08996 * 109.47165 * 179.97438 * 1 2 3 36 36 H 1.08996 * 113.61148 * 25.43536 * 9 7 6 37 37 H 1.08995 * 113.61657 * 254.53219 * 9 7 6 38 38 H 0.97002 * 119.99487 * 334.99276 * 12 10 9 39 39 H 1.08994 * 109.47070 * 59.99999 * 15 13 12 40 40 H 1.08998 * 109.47132 * 299.99607 * 15 13 12 41 41 H 1.07999 * 125.03335 * 0.02562 * 17 16 15 42 42 H 1.09003 * 109.47219 * 225.02622 * 19 18 17 43 43 H 0.96704 * 114.00485 * 300.00677 * 20 19 18 44 44 H 1.48493 * 109.99980 * 58.67890 * 21 19 18 45 45 H 1.48498 * 110.00297 * 180.02562 * 21 19 18 46 46 H 1.08006 * 120.11783 * 0.02562 * 23 22 18 47 47 H 1.07994 * 119.73635 * 179.97438 * 24 23 22 48 48 H 1.08004 * 119.66040 * 179.97438 * 25 24 23 49 49 H 1.08001 * 120.10797 * 179.97438 * 26 25 24 50 50 H 1.09005 * 113.60894 * 139.98114 * 28 10 9 51 51 H 1.08992 * 113.61598 * 270.87598 * 28 10 9 52 52 H 1.08005 * 119.92419 * 180.27463 * 29 6 5 53 53 H 1.07999 * 119.85045 * 180.02562 * 30 29 6 54 54 H 1.07999 * 119.92046 * 179.97438 * 31 30 29 55 55 H 1.08002 * 120.07409 * 179.97438 * 32 31 30 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 1.4520 0.0000 0.0000 3 6 2.0636 1.2002 0.0000 4 8 1.4021 2.2190 -0.0005 5 6 3.5389 1.2775 -0.0006 6 6 4.1821 2.3987 -0.5280 7 6 3.3731 3.5345 -1.0994 8 1 2.3464 3.2492 -1.3290 9 6 3.4842 4.8378 -0.2908 10 6 3.5257 5.5778 -1.6382 11 1 4.2331 6.4068 -1.6594 12 7 2.2020 5.9463 -2.1464 13 6 2.0709 6.9863 -2.9935 14 8 3.0487 7.6173 -3.3349 15 6 0.7093 7.3650 -3.5167 16 7 0.8335 8.5184 -4.4115 17 6 0.6622 9.8239 -4.0394 18 6 0.8520 10.6298 -5.0960 19 6 0.7604 12.1339 -5.1042 20 8 2.0752 12.6909 -5.1598 21 14 -0.0939 12.7124 -3.5530 22 6 1.1647 9.7696 -6.2399 23 6 1.4542 10.0099 -7.5841 24 6 1.7097 8.9603 -8.4213 25 6 1.6828 7.6566 -7.9458 26 6 1.3989 7.3968 -6.6228 27 6 1.1359 8.4498 -5.7531 28 6 4.0789 4.2779 -2.2456 29 6 5.5601 2.4670 -0.5198 30 6 6.3043 1.4254 0.0046 31 6 5.6733 0.3084 0.5237 32 6 4.2965 0.2266 0.5208 33 1 -0.3633 0.5139 0.8900 34 1 -0.3633 0.5139 -0.8899 35 1 -0.3633 -1.0276 -0.0005 36 1 4.4086 4.9195 0.2809 37 1 2.5974 5.0605 0.3025 38 1 1.4199 5.4417 -1.8731 39 1 0.0578 7.6219 -2.6816 40 1 0.2837 6.5241 -4.0642 41 1 0.4157 10.1571 -3.0421 42 1 0.1911 12.4585 -5.9752 43 1 2.6392 12.4434 -4.4143 44 1 0.6553 12.2490 -2.3576 45 1 -0.1911 14.1942 -3.5491 46 1 1.4770 11.0218 -7.9611 47 1 1.9332 9.1467 -9.4612 48 1 1.8864 6.8376 -8.6198 49 1 1.3799 6.3788 -6.2625 50 1 3.6721 4.0486 -3.2306 51 1 5.1658 4.2066 -2.2085 52 1 6.0589 3.3358 -0.9234 53 1 7.3827 1.4841 0.0090 54 1 6.2604 -0.5014 0.9312 55 1 3.8053 -0.6458 0.9258 There are 77 doubly filled levels RHF calculation, no. of doubly occupied orbitals= 77 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_15105874_9818708.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 13:04:13 Heat of formation + Delta-G solvation = -11.400311 kcal Electronic energy + Delta-G solvation = -39937.799610 eV Core-core repulsion = 34873.664308 eV Total energy + Delta-G solvation = -5064.135302 eV No. of doubly occupied orbitals = 77 and no. of open levels = 1 Molecular weight (most abundant/longest-lived isotopes) = 421.177 amu Computer time = 1.58 seconds Orbital eigenvalues (eV) -42.57317 -42.07361 -41.14328 -40.13336 -38.85665 -38.15857 -37.68891 -37.51816 -34.76698 -34.03638 -32.62377 -31.98068 -31.31366 -30.25299 -29.02369 -28.69664 -26.79612 -26.51176 -25.62377 -24.88003 -23.83649 -23.20364 -22.64047 -21.92718 -21.77855 -20.69987 -20.22983 -19.11219 -18.69707 -18.54655 -18.10583 -17.76299 -17.55598 -17.39531 -17.10517 -16.72848 -16.42111 -16.35835 -16.17880 -16.07981 -15.64957 -15.56995 -15.43001 -15.15648 -14.99889 -14.76810 -14.71471 -14.56343 -14.41395 -14.17195 -14.10175 -14.05006 -13.66773 -13.54279 -13.33029 -13.17374 -13.06299 -12.92566 -12.74094 -12.58299 -12.49553 -12.39895 -12.30107 -12.01734 -11.82488 -11.79205 -11.74978 -11.46315 -11.22018 -11.04442 -10.57173 -10.46383 -10.20809 -10.06514 -9.76365 -9.17295 -8.64933 -4.89968 -0.31346 0.13076 0.29914 0.62793 1.33358 1.35943 1.38375 1.40563 1.60882 1.68107 1.68290 1.98705 2.14991 2.66499 2.93801 3.37310 3.48411 3.52087 3.54789 3.61250 3.66782 3.68233 3.72120 3.83200 3.85437 3.92801 4.02473 4.10319 4.11835 4.15009 4.21014 4.25615 4.28738 4.30854 4.35551 4.40536 4.48822 4.57392 4.58226 4.66375 4.68700 4.70874 4.76987 4.77924 4.79336 4.87210 4.88911 4.94139 4.99848 5.07143 5.12731 5.22241 5.28352 5.40736 5.45280 5.50016 5.59713 5.65559 5.72852 5.74391 5.84997 6.16412 6.21599 6.41027 6.53506 6.60413 7.06289 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.029 3.971 2 O -0.362 6.362 3 C 0.506 3.494 4 O -0.516 6.516 5 C -0.146 4.146 6 C -0.021 4.021 7 C -0.080 4.080 8 H 0.110 0.890 9 C -0.117 4.117 10 C 0.120 3.880 11 H 0.087 0.913 12 N -0.696 5.696 13 C 0.495 3.505 14 O -0.569 6.569 15 C 0.088 3.912 16 N -0.466 5.466 17 C 0.073 3.927 18 C -0.214 4.214 19 C -0.055 4.055 20 O -0.555 6.555 21 Si 0.785 3.215 22 C -0.114 4.114 23 C -0.087 4.087 24 C -0.153 4.153 25 C -0.107 4.107 26 C -0.135 4.135 27 C 0.091 3.909 28 C -0.142 4.142 29 C -0.135 4.135 30 C -0.080 4.080 31 C -0.137 4.137 32 C -0.069 4.069 33 H 0.064 0.936 34 H 0.066 0.934 35 H 0.127 0.873 36 H 0.102 0.898 37 H 0.079 0.921 38 H 0.417 0.583 39 H 0.164 0.836 40 H 0.143 0.857 41 H 0.196 0.804 42 H 0.111 0.889 43 H 0.381 0.619 44 H -0.275 1.275 45 H -0.303 1.303 46 H 0.120 0.880 47 H 0.137 0.863 48 H 0.145 0.855 49 H 0.130 0.870 50 H 0.066 0.934 51 H 0.104 0.896 52 H 0.148 0.852 53 H 0.153 0.847 54 H 0.153 0.847 55 H 0.144 0.856 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges -3.414 -8.585 4.915 10.465 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 -0.278 6.278 3 C 0.353 3.647 4 O -0.407 6.407 5 C -0.147 4.147 6 C -0.021 4.021 7 C -0.098 4.098 8 H 0.127 0.873 9 C -0.155 4.155 10 C 0.015 3.985 11 H 0.106 0.894 12 N -0.349 5.349 13 C 0.280 3.720 14 O -0.447 6.447 15 C -0.037 4.037 16 N -0.148 5.148 17 C -0.052 4.052 18 C -0.221 4.221 19 C -0.163 4.163 20 O -0.363 6.363 21 Si 0.688 3.312 22 C -0.119 4.119 23 C -0.105 4.105 24 C -0.172 4.172 25 C -0.126 4.126 26 C -0.155 4.155 27 C -0.014 4.014 28 C -0.181 4.181 29 C -0.153 4.153 30 C -0.098 4.098 31 C -0.155 4.155 32 C -0.087 4.087 33 H 0.083 0.917 34 H 0.084 0.916 35 H 0.145 0.855 36 H 0.121 0.879 37 H 0.097 0.903 38 H 0.255 0.745 39 H 0.181 0.819 40 H 0.161 0.839 41 H 0.213 0.787 42 H 0.129 0.871 43 H 0.230 0.770 44 H -0.201 1.201 45 H -0.231 1.231 46 H 0.138 0.862 47 H 0.155 0.845 48 H 0.163 0.837 49 H 0.148 0.852 50 H 0.085 0.915 51 H 0.122 0.878 52 H 0.165 0.835 53 H 0.171 0.829 54 H 0.171 0.829 55 H 0.162 0.838 Dipole moment (debyes) X Y Z Total from point charges -3.175 -7.401 5.073 9.518 hybrid contribution 0.912 -0.280 0.030 0.954 sum -2.263 -7.681 5.103 9.495 Atomic orbital electron populations 1.23563 0.74293 1.05711 1.02787 1.86574 1.25215 1.32225 1.83783 1.21471 0.89515 0.81539 0.72216 1.90737 1.67358 1.36168 1.46475 1.19102 0.88797 0.98116 1.08733 1.19876 0.94368 0.93056 0.94789 1.21886 0.99796 0.91745 0.96416 0.87266 1.23249 1.04007 0.92861 0.95362 1.21771 0.85140 0.96635 0.94997 0.89446 1.45557 1.10241 1.32224 1.46883 1.21471 0.92027 0.79874 0.78588 1.90791 1.41530 1.53611 1.58787 1.21966 0.94610 0.90201 0.96904 1.43408 1.59490 1.05878 1.06019 1.22010 1.01548 0.81877 0.99774 1.20706 1.13324 0.95398 0.92711 1.24702 0.88196 0.89326 1.14089 1.86551 1.24824 1.74176 1.50726 0.94175 0.87051 0.77712 0.72241 1.19335 1.05654 0.92453 0.94429 1.20459 0.98717 0.99611 0.91742 1.20921 1.03116 0.92571 1.00594 1.21126 0.99204 0.97487 0.94754 1.20233 1.05017 0.97105 0.93192 1.18403 1.03024 0.95591 0.84406 1.23607 1.01680 0.94876 0.97899 1.21257 0.92275 1.00572 1.01184 1.21810 1.01799 0.92456 0.93748 1.21501 0.93999 0.99573 1.00437 1.21612 0.94718 0.96708 0.95700 0.91684 0.91552 0.85464 0.87936 0.90253 0.74532 0.81871 0.83894 0.78731 0.87120 0.77026 1.20075 1.23063 0.86187 0.84494 0.83728 0.85194 0.91498 0.87795 0.83480 0.82909 0.82918 0.83821 Number of geometries 1 Number of calculations of the screened coulomb radii 1 The total number of SCF iterations 14. 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 -0.11 10.57 113.37 1.20 1.09 16 2 O -0.36 -0.64 10.12 -56.20 -0.57 -1.21 16 3 C 0.51 1.90 7.46 70.33 0.52 2.43 16 4 O -0.52 -3.01 13.63 19.93 0.27 -2.74 16 5 C -0.15 -0.29 5.86 -20.10 -0.12 -0.41 16 6 C -0.02 -0.01 5.31 -19.60 -0.10 -0.11 16 7 C -0.08 0.08 3.00 -11.02 -0.03 0.04 16 8 H 0.11 0.14 5.49 -2.38 -0.01 0.13 16 9 C -0.12 0.27 7.32 31.12 0.23 0.50 16 10 C 0.12 -0.09 4.32 45.51 0.20 0.11 16 11 H 0.09 0.31 7.46 -2.39 -0.02 0.29 16 12 N -0.70 2.10 5.26 -440.04 -2.32 -0.22 16 13 C 0.49 0.71 7.90 87.66 0.69 1.40 16 14 O -0.57 -7.13 16.03 -3.02 -0.05 -7.18 16 15 C 0.09 -0.44 6.48 85.63 0.56 0.12 16 16 N -0.47 -1.41 2.27 -519.99 -1.18 -2.59 16 17 C 0.07 0.18 9.89 83.00 0.82 1.00 16 18 C -0.21 -1.39 5.58 -18.63 -0.10 -1.49 16 19 C -0.06 -0.26 3.06 71.23 0.22 -0.04 16 20 O -0.56 -5.04 12.88 -148.98 -1.92 -6.95 16 21 Si 0.78 -0.26 30.82 68.60 2.11 1.85 16 22 C -0.11 -1.21 6.35 -20.20 -0.13 -1.34 16 23 C -0.09 -0.87 10.05 22.23 0.22 -0.64 16 24 C -0.15 -1.09 9.97 22.03 0.22 -0.87 16 25 C -0.11 -0.60 10.01 22.29 0.22 -0.38 16 26 C -0.14 -0.85 10.00 22.36 0.22 -0.63 16 27 C 0.09 0.75 6.81 39.03 0.27 1.02 16 28 C -0.14 0.21 7.24 31.12 0.23 0.43 16 29 C -0.14 0.37 8.93 22.23 0.20 0.57 16 30 C -0.08 0.36 10.04 22.33 0.22 0.58 16 31 C -0.14 0.54 10.03 22.23 0.22 0.76 16 32 C -0.07 0.07 9.61 22.53 0.22 0.29 16 33 H 0.06 -0.23 8.14 -2.39 -0.02 -0.25 16 34 H 0.07 -0.27 8.14 -2.39 -0.02 -0.29 16 35 H 0.13 -1.11 8.14 -2.39 -0.02 -1.13 16 36 H 0.10 -0.35 7.93 -2.39 -0.02 -0.37 16 37 H 0.08 -0.14 8.14 -2.39 -0.02 -0.16 16 38 H 0.42 -3.36 8.70 -92.71 -0.81 -4.16 16 39 H 0.16 -2.13 8.12 -2.39 -0.02 -2.15 16 40 H 0.14 -1.40 8.14 -2.39 -0.02 -1.42 16 41 H 0.20 -0.80 6.27 -2.91 -0.02 -0.82 16 42 H 0.11 0.46 7.96 -2.39 -0.02 0.45 16 43 H 0.38 1.60 8.70 -74.05 -0.64 0.96 16 44 H -0.27 -0.52 7.00 99.48 0.70 0.18 16 45 H -0.30 -2.21 7.11 99.48 0.71 -1.51 16 46 H 0.12 1.06 8.06 -2.91 -0.02 1.03 16 47 H 0.14 0.39 8.06 -2.91 -0.02 0.37 16 48 H 0.14 0.07 8.06 -2.91 -0.02 0.05 16 49 H 0.13 0.25 8.06 -2.91 -0.02 0.23 16 50 H 0.07 0.02 8.14 -2.38 -0.02 0.00 16 51 H 0.10 -0.33 6.02 -2.39 -0.01 -0.34 16 52 H 0.15 -0.88 6.29 -2.91 -0.02 -0.90 16 53 H 0.15 -1.39 8.06 -2.91 -0.02 -1.42 16 54 H 0.15 -1.28 8.06 -2.91 -0.02 -1.30 16 55 H 0.14 -0.49 7.86 -2.91 -0.02 -0.51 16 Total: 0.00 -29.75 458.87 2.08 -27.67 By element: Atomic # 1 Polarization: -12.59 SS G_CDS: -0.47 Total: -13.06 kcal Atomic # 6 Polarization: -1.76 SS G_CDS: 6.19 Total: 4.43 kcal Atomic # 7 Polarization: 0.69 SS G_CDS: -3.49 Total: -2.81 kcal Atomic # 8 Polarization: -15.82 SS G_CDS: -2.26 Total: -18.08 kcal Atomic # 14 Polarization: -0.26 SS G_CDS: 2.11 Total: 1.85 kcal Total: -29.75 2.08 -27.67 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_15105874_9818708.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 16.273 kcal (2) G-P(sol) polarization free energy of solvation -29.750 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system -13.478 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy 2.077 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -27.673 kcal (6) G-S(sol) free energy of system = (1) + (5) -11.400 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 1.58 seconds