Wall clock time and date at job start Tue Mar 31 2020 14:05:03 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 N 1.46901 * 1 3 3 C 1.46904 * 110.99779 * 2 1 4 4 C 1.46895 * 111.00116 * 123.95230 * 2 1 3 5 5 H 1.08996 * 109.47128 * 299.46536 * 4 2 1 6 6 C 1.50696 * 109.47320 * 59.47128 * 4 2 1 7 7 O 1.21280 * 120.00027 * 36.54066 * 6 4 2 8 8 N 1.34773 * 120.00276 * 216.54779 * 6 4 2 9 9 C 1.46955 * 120.35358 * 5.75617 * 8 6 4 10 10 C 1.52338 * 109.08838 * 68.38034 * 9 8 6 11 11 C 1.53800 * 109.16013 * 72.70445 * 10 9 8 12 12 C 1.52449 * 109.42111 * 282.13212 * 11 10 9 13 13 C 1.53962 * 110.73658 * 113.73286 * 12 11 10 14 14 C 1.52888 * 109.71403 * 315.64273 * 13 12 11 15 15 H 1.09003 * 109.47378 * 47.10511 * 14 13 12 16 16 N 1.46494 * 109.48307 * 167.12407 * 14 13 12 17 17 C 1.36938 * 120.00340 * 275.00517 * 16 14 13 18 18 H 1.07994 * 119.99679 * 359.97438 * 17 16 14 19 19 C 1.38810 * 119.99939 * 179.97438 * 17 16 14 20 20 N 1.31618 * 120.00364 * 0.02562 * 19 17 16 21 21 Si 1.86800 * 119.99914 * 179.97438 * 19 17 16 22 22 H 1.48499 * 109.47030 * 60.00251 * 21 19 17 23 23 H 1.48502 * 109.47160 * 180.02562 * 21 19 17 24 24 H 1.48498 * 109.47295 * 300.00307 * 21 19 17 25 25 C 1.45336 * 120.35757 * 185.48969 * 8 6 4 26 26 C 1.53005 * 109.46928 * 179.47205 * 4 2 1 27 27 C 1.53000 * 117.49608 * 182.64748 * 26 4 2 28 28 C 1.53001 * 60.00049 * 107.48583 * 27 26 4 29 29 H 1.09006 * 109.46767 * 303.12076 * 1 2 3 30 30 H 1.09003 * 109.47140 * 63.12196 * 1 2 3 31 31 H 1.08999 * 109.46853 * 183.12112 * 1 2 3 32 32 H 1.08999 * 109.47036 * 183.95578 * 3 2 1 33 33 H 1.09005 * 109.46974 * 303.95277 * 3 2 1 34 34 H 1.09001 * 109.47142 * 63.95347 * 3 2 1 35 35 H 1.09001 * 109.53851 * 188.26919 * 9 8 6 36 36 H 1.09005 * 109.53904 * 308.42151 * 9 8 6 37 37 H 1.09000 * 109.52676 * 192.60994 * 10 9 8 38 38 H 1.08996 * 109.52207 * 312.80182 * 10 9 8 39 39 H 1.09005 * 109.47850 * 42.11190 * 11 10 9 40 40 H 1.09002 * 109.48397 * 162.14613 * 11 10 9 41 41 H 1.08999 * 109.22302 * 234.05270 * 12 11 10 42 42 H 1.08996 * 109.22200 * 353.40286 * 12 11 10 43 43 H 1.08997 * 109.43848 * 75.72159 * 13 12 11 44 44 H 1.09000 * 109.42945 * 195.57635 * 13 12 11 45 45 H 0.96999 * 119.99693 * 94.99758 * 16 14 13 46 46 H 0.96994 * 120.00238 * 179.97438 * 20 19 17 47 47 H 1.09001 * 109.67186 * 343.07050 * 25 8 6 48 48 H 1.08996 * 109.68138 * 103.60450 * 25 8 6 49 49 H 1.08999 * 115.56337 * 36.95534 * 26 4 2 50 50 H 1.09002 * 117.49847 * 0.02562 * 27 26 4 51 51 H 1.09000 * 117.49696 * 214.97668 * 27 26 4 52 52 H 1.09003 * 117.49770 * 107.49034 * 28 27 26 53 53 H 1.08994 * 117.49807 * 252.48192 * 28 27 26 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 7 1.4690 0.0000 0.0000 3 6 1.9954 1.3715 0.0000 4 6 1.9955 -0.7659 1.1376 5 1 1.6538 -0.3144 2.0689 6 6 1.5017 -2.1875 1.0576 7 8 1.3874 -2.7300 -0.0210 8 7 1.1871 -2.8560 2.1848 9 6 1.2012 -2.1692 3.4840 10 6 0.0663 -1.1538 3.5231 11 6 -1.2729 -1.8984 3.6563 12 6 -1.6717 -2.4706 2.3007 13 6 -1.6488 -4.0097 2.3305 14 6 -0.3832 -4.4930 3.0391 15 1 -0.2516 -3.9370 3.9674 16 7 -0.5063 -5.9217 3.3387 17 6 -1.1431 -6.3296 4.4803 18 1 -1.5543 -5.5980 5.1600 19 6 -1.2602 -7.6834 4.7638 20 7 -0.7587 -8.5750 3.9357 21 14 -2.1283 -8.2397 6.3215 22 1 -3.5314 -7.7537 6.3067 23 1 -2.1185 -9.7231 6.3907 24 1 -1.4247 -7.6847 7.5055 25 6 0.8246 -4.2622 2.1278 26 6 3.5249 -0.7541 1.0962 27 6 4.2667 -1.5542 2.1688 28 6 4.2316 -2.0594 0.7250 29 1 -0.3633 0.5616 0.8608 30 1 -0.3633 0.4646 -0.9167 31 1 -0.3633 -1.0261 0.0560 32 1 3.0827 1.3433 -0.0709 33 1 1.5897 1.9164 -0.8525 34 1 1.7043 1.8724 0.9233 35 1 1.0659 -2.8981 4.2831 36 1 2.1545 -1.6572 3.6153 37 1 0.2005 -0.4901 4.3773 38 1 0.0683 -0.5697 2.6029 39 1 -1.1675 -2.7098 4.3765 40 1 -2.0415 -1.2056 3.9988 41 1 -2.6767 -2.1314 2.0496 42 1 -0.9740 -2.1158 1.5421 43 1 -2.5256 -4.3752 2.8650 44 1 -1.6615 -4.3924 1.3100 45 1 -0.1368 -6.5788 2.7283 46 1 -0.8402 -9.5210 4.1340 47 1 0.5682 -4.5339 1.1038 48 1 1.6609 -4.8711 2.4711 49 1 3.9791 0.1776 0.7591 50 1 3.6652 -2.0893 2.9036 51 1 5.2090 -1.1488 2.5374 52 1 5.1508 -1.9864 0.1438 53 1 3.6073 -2.9267 0.5104 RHF calculation, no. of doubly occupied orbitals= 63 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 ZINC001088327693.mol2 53 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 14:05:03 Heat of formation + Delta-G solvation = 33.503178 kcal Electronic energy + Delta-G solvation = -30797.187690 eV Core-core repulsion = 27092.079092 eV Total energy + Delta-G solvation = -3705.108598 eV No. of doubly occupied orbitals = 63 Molecular weight (most abundant/longest-lived isotopes) = 323.231 amu Computer time = 0.77 seconds Orbital eigenvalues (eV) -41.10268 -38.43407 -36.94741 -36.12105 -34.90375 -33.76233 -32.30851 -29.93063 -28.92567 -27.95417 -26.96763 -26.13188 -23.82840 -22.94496 -22.73765 -22.33325 -21.67293 -21.04017 -18.90815 -18.55853 -17.39524 -17.09587 -16.70213 -15.99252 -15.65167 -15.22887 -14.72029 -14.64674 -14.37085 -14.13669 -13.94662 -13.80678 -13.48463 -13.31796 -13.10403 -12.94971 -12.57181 -12.52480 -12.34692 -12.31650 -11.90653 -11.70416 -11.50119 -11.37001 -11.20320 -10.98464 -10.91061 -10.81964 -10.71925 -10.44055 -10.42276 -10.32609 -10.24649 -10.18609 -9.81281 -9.69430 -9.45322 -8.89787 -8.43260 -8.25896 -6.98288 -5.78571 -3.08216 2.71086 3.02644 3.41551 3.46235 3.47506 3.55360 3.91806 4.34802 4.56836 4.65203 4.70315 4.73596 4.84183 4.94809 5.00562 5.06238 5.12470 5.18601 5.24012 5.35045 5.37698 5.41774 5.44503 5.47381 5.54768 5.57407 5.62758 5.65250 5.73344 5.77410 5.83764 5.86415 5.92353 5.93770 5.99313 6.05169 6.11460 6.15670 6.24940 6.37577 6.49666 6.52004 6.64310 6.71955 6.79410 6.84130 7.01039 7.07968 7.60059 7.65828 8.37925 8.40481 9.50281 10.07037 10.41600 11.43758 Molecular weight = 323.23amu Principal moments of inertia in cm(-1) A = 0.019349 B = 0.003733 C = 0.003502 Principal moments of inertia in units of 10**(-40)*gram-cm**2 A = 1446.777552 B = 7499.776436 C = 7994.133655 Net atomic charges, atomic populations, and dipole contributions calculated with CM2 Atom NO. Type Charge No. of electrons 1 C 0.019 3.981 2 N -0.522 5.522 3 C 0.023 3.977 4 C 0.091 3.909 5 H 0.070 0.930 6 C 0.524 3.476 7 O -0.521 6.521 8 N -0.597 5.597 9 C 0.095 3.905 10 C -0.145 4.145 11 C -0.125 4.125 12 C -0.118 4.118 13 C -0.134 4.134 14 C 0.159 3.841 15 H 0.064 0.936 16 N -0.723 5.723 17 C -0.239 4.239 18 H 0.069 0.931 19 C -0.011 4.011 20 N -0.931 5.931 21 Si 0.906 3.094 22 H -0.286 1.286 23 H -0.291 1.291 24 H -0.286 1.286 25 C 0.103 3.897 26 C -0.146 4.146 27 C -0.185 4.185 28 C -0.169 4.169 29 H 0.026 0.974 30 H 0.072 0.928 31 H 0.076 0.924 32 H 0.073 0.927 33 H 0.071 0.929 34 H 0.026 0.974 35 H 0.099 0.901 36 H 0.071 0.929 37 H 0.071 0.929 38 H 0.065 0.935 39 H 0.080 0.920 40 H 0.055 0.945 41 H 0.047 0.953 42 H 0.057 0.943 43 H 0.064 0.936 44 H 0.051 0.949 45 H 0.384 0.616 46 H 0.256 0.744 47 H 0.086 0.914 48 H 0.066 0.934 49 H 0.117 0.883 50 H 0.101 0.899 51 H 0.098 0.902 52 H 0.095 0.905 53 H 0.103 0.897 For the charges calculated by CM2: Dipole moment (debyes) X Y Z Total from point charges 6.971 21.517 -3.316 22.860 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 -0.129 4.129 2 N -0.246 5.246 3 C -0.125 4.125 4 C -0.021 4.021 5 H 0.088 0.912 6 C 0.310 3.690 7 O -0.396 6.396 8 N -0.331 5.331 9 C -0.028 4.028 10 C -0.183 4.183 11 C -0.162 4.162 12 C -0.157 4.157 13 C -0.174 4.174 14 C 0.049 3.951 15 H 0.082 0.918 16 N -0.364 5.364 17 C -0.370 4.370 18 H 0.087 0.913 19 C -0.207 4.207 20 N -0.578 5.578 21 Si 0.737 3.263 22 H -0.213 1.213 23 H -0.217 1.217 24 H -0.213 1.213 25 C -0.020 4.020 26 C -0.165 4.165 27 C -0.223 4.223 28 C -0.206 4.206 29 H 0.044 0.956 30 H 0.091 0.909 31 H 0.094 0.906 32 H 0.091 0.909 33 H 0.090 0.910 34 H 0.044 0.956 35 H 0.117 0.883 36 H 0.089 0.911 37 H 0.090 0.910 38 H 0.083 0.917 39 H 0.099 0.901 40 H 0.074 0.926 41 H 0.066 0.934 42 H 0.075 0.925 43 H 0.083 0.917 44 H 0.070 0.930 45 H 0.218 0.782 46 H 0.066 0.934 47 H 0.105 0.895 48 H 0.084 0.916 49 H 0.135 0.865 50 H 0.119 0.881 51 H 0.116 0.884 52 H 0.113 0.887 53 H 0.122 0.878 Dipole moment (debyes) X Y Z Total from point charges 6.980 20.922 -4.174 22.447 hybrid contribution -0.776 -0.149 1.403 1.610 sum 6.204 20.772 -2.771 21.855 Atomic orbital electron populations 1.22556 0.86698 1.02890 1.00755 1.61665 1.08068 1.13192 1.41688 1.22483 1.01208 0.88219 1.00611 1.21441 0.94126 0.92695 0.93819 0.91211 1.20094 0.77295 0.87673 0.83897 1.90702 1.52163 1.69045 1.27641 1.47762 1.67438 1.11374 1.06562 1.21851 0.98175 0.96189 0.86550 1.22340 0.96034 0.97898 1.02024 1.21803 0.95619 0.99864 0.98937 1.21748 1.00057 0.97194 0.96664 1.22430 1.01121 0.92990 1.00856 1.20810 0.91100 0.87613 0.95613 0.91818 1.42335 1.68445 0.99825 1.25773 1.19119 1.28843 0.90899 0.98182 0.91302 1.24733 1.01453 0.95868 0.98653 1.69648 1.50342 1.00615 1.37239 0.86299 0.79459 0.77518 0.83068 1.21296 1.21703 1.21284 1.21813 0.98180 0.79671 1.02371 1.22157 0.91487 0.97489 1.05355 1.23192 1.02218 1.03928 0.92917 1.23111 1.02549 0.97679 0.97291 0.95570 0.90920 0.90577 0.90858 0.91028 0.95591 0.88299 0.91068 0.90991 0.91699 0.90129 0.92614 0.93441 0.92489 0.91743 0.92989 0.78239 0.93404 0.89546 0.91615 0.86537 0.88126 0.88403 0.88703 0.87838 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 0.02 0.22 8.79 60.07 0.53 0.74 16 2 N -0.52 -6.15 4.65 -244.58 -1.14 -7.29 16 3 C 0.02 0.19 9.25 60.07 0.56 0.75 16 4 C 0.09 1.07 1.29 -68.87 -0.09 0.98 16 5 H 0.07 0.74 4.58 -51.93 -0.24 0.50 16 6 C 0.52 7.70 1.92 -10.99 -0.02 7.68 16 7 O -0.52 -9.69 14.75 5.56 0.08 -9.61 16 8 N -0.60 -8.44 1.58 -174.61 -0.28 -8.71 16 9 C 0.10 1.10 4.55 -4.13 -0.02 1.08 16 10 C -0.14 -1.53 5.01 -26.65 -0.13 -1.66 16 11 C -0.12 -1.58 5.49 -26.60 -0.15 -1.73 16 12 C -0.12 -1.73 5.40 -26.51 -0.14 -1.88 16 13 C -0.13 -2.43 5.33 -26.29 -0.14 -2.57 16 14 C 0.16 3.00 2.29 -67.97 -0.16 2.85 16 15 H 0.06 1.17 3.29 -51.93 -0.17 1.00 16 16 N -0.72 -17.51 5.12 -53.46 -0.27 -17.78 16 17 C -0.24 -6.40 9.90 -15.06 -0.15 -6.55 16 18 H 0.07 1.77 7.83 -52.49 -0.41 1.36 16 19 C -0.01 -0.30 5.50 -17.43 -0.10 -0.40 16 20 N -0.93 -27.71 13.06 55.49 0.72 -26.99 16 21 Si 0.91 21.96 29.55 -169.99 -5.02 16.94 16 22 H -0.29 -6.86 7.11 56.52 0.40 -6.46 16 23 H -0.29 -7.17 7.11 56.52 0.40 -6.77 16 24 H -0.29 -6.79 7.11 56.52 0.40 -6.39 16 25 C 0.10 1.78 5.48 -4.64 -0.03 1.75 16 26 C -0.15 -1.55 5.58 -90.62 -0.51 -2.05 16 27 C -0.19 -1.83 9.72 -26.73 -0.26 -2.09 16 28 C -0.17 -2.01 9.69 -26.73 -0.26 -2.27 16 29 H 0.03 0.26 7.35 -51.93 -0.38 -0.12 16 30 H 0.07 0.74 8.14 -51.93 -0.42 0.32 16 31 H 0.08 1.06 4.83 -51.93 -0.25 0.81 16 32 H 0.07 0.57 5.92 -51.93 -0.31 0.26 16 33 H 0.07 0.54 8.14 -51.93 -0.42 0.12 16 34 H 0.03 0.20 8.14 -51.93 -0.42 -0.23 16 35 H 0.10 1.24 6.07 -51.93 -0.32 0.92 16 36 H 0.07 0.69 5.06 -51.93 -0.26 0.43 16 37 H 0.07 0.61 8.14 -51.93 -0.42 0.19 16 38 H 0.06 0.70 3.85 -51.93 -0.20 0.50 16 39 H 0.08 1.16 5.47 -51.93 -0.28 0.88 16 40 H 0.06 0.64 8.14 -51.93 -0.42 0.21 16 41 H 0.05 0.66 8.14 -51.93 -0.42 0.24 16 42 H 0.06 0.85 3.73 -51.93 -0.19 0.66 16 43 H 0.06 1.30 8.11 -51.93 -0.42 0.88 16 44 H 0.05 1.00 7.85 -51.93 -0.41 0.59 16 45 H 0.38 10.08 7.80 -40.82 -0.32 9.76 16 46 H 0.26 7.43 8.31 -40.82 -0.34 7.09 16 47 H 0.09 1.66 6.73 -51.93 -0.35 1.31 16 48 H 0.07 1.19 8.14 -51.93 -0.42 0.77 16 49 H 0.12 1.05 5.91 -51.93 -0.31 0.74 16 50 H 0.10 1.06 5.37 -51.93 -0.28 0.78 16 51 H 0.10 0.79 8.14 -51.93 -0.42 0.37 16 52 H 0.09 0.99 8.14 -51.93 -0.42 0.57 16 53 H 0.10 1.55 5.95 -51.93 -0.31 1.24 16 LS Contribution 372.51 15.07 5.61 5.61 Total: -1.00 -30.97 372.51 -9.70 -40.66 By element: Atomic # 1 Polarization: 20.87 SS G_CDS: -8.35 Total: 12.53 kcal Atomic # 6 Polarization: -4.30 SS G_CDS: -1.06 Total: -5.36 kcal Atomic # 7 Polarization: -59.81 SS G_CDS: -0.96 Total: -60.78 kcal Atomic # 8 Polarization: -9.69 SS G_CDS: 0.08 Total: -9.61 kcal Atomic # 14 Polarization: 21.96 SS G_CDS: -5.02 Total: 16.94 kcal Total LS contribution 5.61 Total: 5.61 kcal Total: -30.97 -9.70 -40.66 kcal The number of atoms in the molecule is 53 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. ZINC001088327693.mol2 53 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 74.166 kcal (2) G-P(sol) polarization free energy of solvation -30.967 kcal (3) G-ENP(sol) elect.-nuc.-pol. free energy of system 43.199 kcal (4) G-CDS(sol) cavity-dispersion-solvent structure free energy -9.696 kcal (5) G-P-CDS(sol) = G-P(sol) + G-CDS(sol) = (2) + (4) -40.662 kcal (6) G-S(sol) free energy of system = (1) + (5) 33.503 kcal 1SCF WAS SPECIFIED, SO GEOMETRY OPTIMIZATION WAS NOT USED Total computer time = 0.77 seconds