Base Plate Modeling in STAAD.Pro 2007

Base Plate Modeling in STAAD.Pro 2007 By RAM/STAAD Solution Center 24 March 2007

Introduction: Base plates are normally designed using codebase procedures (e.g. AISC-ASD). Engineers often run into situations where there are no codes available to design a particular type of a base plate or there are instances where base plate were simply over designed in the past and the engineer has to check the design of this old base plate based upon new loadings and make modifications as required. In these situations, an engineer may opt to do a finite element analysis on the base plate. STAAD.Pro 2007 is equipped with a lot of mesh generation and loading tools. The purpose of this document is to demonstrate how engineers can analyze base plates using STAAD.Pro 2007. Figure 2: Plan view of tank base plate We would like to thank Mr. Indranil Roy Chowdhury, P.Eng. from Hartford Installations, Missisauga, Ontario for allowing us to publish this document. Please note that this document assumes that the user has basic knowledge of STAAD.Pro and Finite Element Analysis. Exercise Problem: We would like to create the following base plate geometry in STAAD.Pro. This base plate was used to support a tank leg. The tank leg pipe diameter is 0.9ft and the thickness of the pipe is 0.5 in thick. Figure 3: Elevation view of base plate stiffener 1. Open a new STAAD.Pro file using the space option and the units of ft and kip. Figure 4: File creation dialog box Figure 1: Isometric sketch of tank base plate 2. Give an appropriate file name. 3. Click on the Next button and then click on the Finish button on the following screen. 2

The STAAD.Pro interface will appear as shown in Figure 5. Figure 7: The Base_Plate grid is shown in the Graphics Window. 7. Draw the outline of the base plate using beam elements. Press the Snap Node/Beam button in the Data Area. Figure 5: STAAD.Pro user interface 4. Create a new grid. Click on the Create button in the data area. The Linear input box will appear as shown in Figure 6. Figure 8: Outline beams created using the grid system. 8. Now we have to create the pipe section/base plate and the stiffener/base plate interface. 9. Click on the Create button in the Data Area. 10. Select the Radial grid option and enter the input parameters as shown in Figure 9. Figure 6: Linear grid box 5. Input the parameters as shown in Figure 6. 6. Click on the Ok button. You will notice the Base_Plate Entry in the Data Area. Figure 9: Circular grid layout for base plate/stiffener and column/stiffener interface. 11. Click the Ok button. 12. Turn on the stiffeners grid and the radial grid will appear in the STAAD.Pro graphics window as illustrated in Figure 10. 3

purpose of finite element analysis we should always try to maintain the aspect ratio of the elements. In this case, we performed the translational repeat on the beam elements because we wanted to do a plate infill and create the plate elements. We simply broke the 2.5 long pipe into 5 sections because we knew that the pipe circumference is broken down into eight 0.5 lengths. Figure 10:Stiffners grid in the STAAD.Pro Graphics window. 13. Draw the base plate/stiffener and column/stiffener interface using the stiffeners grid. Figure 13:Translational Repeat Command. 19. Now we need to create the top portion of the stiffener. You can do this by creating a new stiffener grid at 2.5 elevation. Figure 11 Base plate/stiffener and column/stiffener interface drawn using the Stiffeners grid. 14. Select the beam elements that represent the column/base plate interface. 15. Select the Geometry->Translational Repeat menu command. 16. The 3D Repeat dialog box will appear as shown in Figure 12. 20. Click on the Geometry->Snap/Grid Node- >Beam menu command. 21. Click on the Create button in the Data Area. 22. Turn on the stiffeners grid and the radial grid will appear in the graphics window as illustrated in Figure 14. Figure 12:Translational Repeat Command. 17. Enter the values in the 3D Repeat dialog box as shown in Figure 12. 18. Click the Ok button. The pipe connected to the base plate will be displayed. For the Figure 14:Stiffners grid in the STAAD.Pro Graphics window. 23. Click on the Copy button in the Data Area. Type Stiffener_top as the name for the new stiffener grid. 4

29. Select the four base nodes of the stiffeners as illustrated in Figure 18. Figure 15: Copy grid option. 24. You will notice a Stiffener_top entry in the Data Area. Turn on the Stiffener_top grid. 25. Click on the edit button in the Data Area. 26. The Radial grid options dialog box will appear. Enter the parameters as shown in Figure 16. Figure 18: Four bottom nodes of the stiffener plates selected. 30. Click on Geometry->Translational Repeat menu command. Figure 19: Translational repeat on the bottom four nodes. 31. Enter the values in the 3D Repeat dialog box as shown in Figure 19. Figure 16:Stiffners grid in the STAAD.Pro Graphics window. 32. Click the Ok button. 27. Click on the Ok button. 28. Draw the top edges of the stiffeners as highlighted in Figure 17. Figure 20: Vertical edges of plate stiffeners created. Figure 17:Top edges of stiffeners created using the Stiffener_top grid. 33. Click on Geometry->Add Beam->Add Beam from Point to Point menu command and draw the sloping edges of the stiffeners as shown in Figure 21. 5

Figure 23: Unwanted elements selected in the graphics window. Figure 21: Sloping edges of plate stiffeners created. 34. We would like to use the Plate Infill command to create the plate elements for the pipe. We will use the Generate Surface Meshing Tool to generate the mesh for the stiffeners. The Parametric Meshing Tool will be used to generate the mesh for the base plate. Select the plan view of the geometry that we have created. 35. Rubberband the beam elements that represent the pipe section. You will end up picking up some unwanted elements also. 38. Select the Select->By Inverse->Inverse Beam Selection menu command. 39. The elements that represent the pipe section will be highlighted. 40. Right click in the graphics window and select the New View option. 41. Select the Display View in Active Window option. 42. Select the isometric view option. 43. Select all the beam elements as shown in Figure 24. You could use the Ctrl+A shortcut keys on your keyboard to select all the beam elements. Figure 22: Rubberband the elements that represent the pipe section. 36. Click on the View->View Selected Objects Only menu command. 37. Now in the plan view, you will only see the elements that represent the pipe and some stiffener elements. Select all the unwanted elements in the graphics window as shown in Figure 23. Figure 24: Unwanted elements selected in the graphics window. 44. Select the Geometry->Create Infill Plates menu command. The dialog box shown in Figure 25 will appear. 6

51. Enter that inputs in the Insert Node/Nodes dialog box as shown in Figure 25. 52. Get a good isometric view of one of the stiffener plates. Figure 25: Message Box - 40 plates are created. 53. Rubberband the stiffener plate elements as shown in Figure 26. 46. Click on the Ok button and you will notice that new plate elements are created between the areas bounded by the beam elements. 47. Click on the View->Whole Structure menu command. 48. We will break the sloping part of the stiffeners into five parts. Select the sloping part of the stiffeners in the graphics window as shown in Figure 26. Figure 26: Stiffener plate selected 54. Click on View->View Selected Objects Only menu command. 55. Select the Geometry->Generate Surface Meshing menu command. Figure 26: Sloping edges of stiffeners are selected. 49. Click on the Geometry->Insert Node menu command. 50. The Insert Node/Nodes dialog box will appear as shown in Figure 27. Figure 27: Node Points for Generate Surface Meshing command 56. You will notice that your mouse cursor has changed. Select the nodes on the edge of the stiffener plate in clockwise or counterclockwise fashion as indicated in Figure 27. Select the node that you started off from when you are done. Figure 25: Insert Node dialog box 7

59. Select the Plates cursor and select all the newly created plate elements in the graphic window. 60. Click on Geometry->Circular Repeat menu Command. 61. The 3D Circular dialog box will appear as shown in Figure 31. Figure 28: Sloping edges of stiffeners are selected. 57. The Define Mesh Region dialog box will appear as shown in Figure 28. Enter 1 for all rows in the Div. column as illustrated in Figure 29. We are telling STAAD.Pro to avoid dividing each of the divided edges into smaller pieces. Figure 31: Meshing for stiffeners. 62. Enter the inputs in the 3D Circular dialog box as shown in Figure 31. 63. Click the Ok button. You will notice that all the stiffener plates have been created as shown in Figure 32. Figure 29: Number of edge divisions set to 1. 58. Click on the Ok button. You will note that the meshing for the stiffener has been created as shown in Figure 30. Figure 32: Meshing for stiffeners. 64. Select the View->Whole Structure menu command. 65. We will need to divide the base plate edges into 12 parts. Select the four base plate edges and select the Geometry->Insert Node menu command. Figure 30: Meshing for stiffeners. 8

74. The Mesh Parameters dialog box will appear as illustrated in Figure 35. Figure 33: Meshing for stiffeners. 66. The Insert Node/Nodes dialog box will appear as shown in Figure 33. 67. Enter that inputs in the Insert Node/Nodes dialog box as shown in Figure 33. 68. We will draw the base plate using the Parametric Meshing Tool. Click on the Geometry->Parametric Meshing control tab on your left. 69. Click on the Add button in the Data Area. The New Mesh Model dialog box will appear as shown in Figure 34. Figure 33: Meshing for stiffeners. 75. Set the inputs as shown in Figure 33 and click the Ok button. 76. Click on the No button for the following dialog box. 77. You will see a mesh preview. This preview mode lets the user identify any problems in the FEM model. In Figure 34, we can see that there is a plate connectivity problem at the pipe/base plate interface. Figure 34: Meshing for stiffeners. 70. Type a mesh name as shown in Figure 34 (i.e. BasePlate). 71. Click on the Ok button. 72. You will notice that the mouse cursor will change. Figure 34: Meshing for stiffeners. 78. You can resolve this issue by only generating the mesh for regions marked as R1 and R2 and then doing a circular repeat on the mesh. 73. Select the four corner nodes in the clockwise or counter-clockwise fashion and select the starting node once you have selecting four nodes. 9

Note that we do not have any connectivity problems in this case. 82. Click on the Setup control tab on the left. 83. Select the Select->Plates Parallel to->xz menu command. 84. Click on Geometry->Circular Repeat menu command. Enter the inputs as shown in Figure 38. Figure 35: Mesh generation by regions. 79. We have not documented all these steps in detail in this document. 80. Parametric meshing Type A for B1 (see Figure 36). Figure 38: Circular repeat for Base Plate 85. Click on the Ok button. 86. Select the Select->Plates Parallel to->xz menu command. 87. Click on View->View Selected Objects Only menu command. Figure 36: Mesh generation by regions Region R1 88. Select the Geometry->Generate Surface Meshing menu command. Click on the nodes shown in Red in Figure 39. 81. Click on the Merge Mesh button. Figure 39: Node outline for the Geometry->Generate Surface Meshing menu command Figure 37: Mesh generation by regions Region R2 89. The Define Mesh Region dialog box will appear as shown in Figure 40. Enter 1 for all rows in the Div. column as illustrated in Figure 29. We are telling STAAD.Pro to 10

avoid dividing each of the divided edges into smaller pieces. 97. Check if the model is ok from the plate to plate connectivity point of view by clicking on Tools->Check for improperly connected plates menu command. Property Assignment: 98. We will assign 0.5, 0.4 and 0.6 thickness to the pipe, stiffeners, and base plates respectively. Figure 40: Number of edge divisions set to 1. 90. Click on the Ok button. 91. Select the View->Whole Structure menu command. 92. Press the Esc key on your keyboard to cancel the Generate Surface Meshing command. 93. Select the beams cursor and press the Ctrl+A key to select all the beams. 99. In a 3D model, it is sometimes difficult to extract a particular section and assign a property to it. For example, it is difficult to select the pipe section out of the 3D model we have and assign the appropriate thickness to it. One could assign plate elements to groups when the geometry is being created. In the case of this example, we know that the number of plates along the circumference = 8 and number of divisions along the height of the pipe= 5. Hence, the number of plates used to create the pipe = 8x5=40 plate elements. Click on Select -> By List -> Plates menu command. 100. The Select Plates dialog box will appear as shown in Figure 42. 94. Press the delete key on your keyboard and press Ok on the following dialog box. 95. Right click in the graphics window and select the 3D Rendering option. Figure 42: Rendered view of the base plate geometry. Figure 41: Rendered view of the base plate geometry. 96. Close the rendered mode by simply clicking on the Setup control tab on the left. 101. The first plate numbering starts from 117. Hence, to select the first fifty plates in the model, we will need to provide the range of 117 to 167 in the Enter List input box. 102. Click on the Select Listed Entities button in the Select Plates dialog box. 11

103. You will notice that the pipe elements will be selected in the Graphics window as illustrated in Figure 43. 111. Press the F2 key on your keyboard. A yellow dialog box will appear as shown in Figure 45. Figure 45: Unit converter tool 112. Type 0.5 in in the input box and press the Enter key on your keyboard. Figure 43: Pipe plate elements selected in the graphics window. 104. Click on the Close button. 105. Click on General control tab on the left. 106. The Properties dialog box will appear in the Data Area. 107. Click on the Thickness button in the Properties dialog box. 108. The Plate Thickness dialog box will appear as illustrated in Figure 44. 113. You will notice that STAAD.Pro will automatically convert 0.5 in to 0.041667 ft. 114. Click on the Assign button. 115. Click on the Close button. 116. Click on the whitespace in the graphics window to get rid of the plate selection. 117. We will now assign the properties to the base plate. 118. Select the Select->Plates Parallel to->xz menu command. 119. Click on the Thickness button in the Properties dialog box. 120. The Plate Thickness dialog box will appear as illustrated in Figure 46. Figure 44: Plate Thickness Dialog Box 109. Select Steel in the Material selection box. 110. We know that the pipe thickness is 0.4 but the input system in the Plate Thickness dialog box is in ft. We can use the unit converter to convert 0.5 to ft. Click in the Node 1 input box. Figure 46: Plate Thickness Dialog Box 121. Select Steel in the Material selection box. 12

122. We know that the base plate thickness is 0.6 but the input system in the Plate Thickness dialog box is in ft. We can use the unit converter to convert 0.6 to ft. Click in the Node 1 input box. 123. Press the F2 key on your keyboard. A yellow dialog box will appear as shown in Figure 47. Figure 48: Plate Thickness Dialog Box 133. Select STEEL in the Material selection box. Figure 47: Unit converter tool 124. Type 0.6 in in the input box and press the Enter key on your keyboard. 125. You will notice that STAAD.Pro will automatically convert 0.6 in to 0.05 ft. 134. We know that the stiffener thickness is 0.4 but the input system in the Plate Thickness dialog box is in ft. We can use the unit converter to convert 0.4 to ft. Click in the Node 1 input box. 135. Press the F2 key on your keyboard. A yellow dialog box will appear as shown in Figure 49. 126. Click on the Assign button. 127. Click on the Close button. 128. Click on the whitespace in the graphics window to get rid of the plate selection. 129. We will now assign the properties to the stiffener plates. 130. Select the Select->By Missing Attributes- >Missing Properties menu command. 131. Click on the Thickness button in the Properties dialog box. 132. The Plate Thickness dialog box will appear as illustrated in Figure 48. Figure 49: Unit converter tool 136. Type 0.4 in in the input box and press the Enter key on your keyboard. 137. You will notice that STAAD.Pro will automatically convert 0.4 in to 0.033333 ft. 138. Click on the Assign button. 139. Click on the Close button. 140. Click on the whitespace in the graphics window to get rid of the plate selection. 141. Right click in the graphics window and select the 3D Rendering option. You will be able to see the plate thickness in the 3D Rendered mode as illustrated in Figure 50. 13

Figure 52: Adding new node Figure 50: 3D Rendering with plate thickness 142. Close the rendered mode by simply clicking on the Setup control tab on the left. 143. We will need to create a node at the top at (3,2.5,3) to which we will apply a point load. This node will distribute the loading to the column node points. 149. Click on the General->Spec control tab on the left. 150. Click on the Node button. 151. The Node Specification dialog box will appear. Enter the master node number in the Master Node selection box (e.g. 658 in this example as noted in Step# 148 above). 144. Click on the Geometry control tab on the left. 145. You will notice the Nodes Table in the data area as illustrated in Figure 51. Close the Snap Node/Beam dialog box if it is open. Figure 52: Adding new node 152. Click on the Add button. 153. Select the plan view of the structure. 154. Using the Nodes cursor, select all the nodes at the top of the FEM model as illustrated in Figure 53. Figure 51: Nodes Table 146. Scroll down to the end of the Nodes Table. 147. You will notice a blank cell at the end. 148. Type in coordinates of the new node as shown in Figure 52. This node is the Master Node. Remember this node number. The node number used in this example is 658. Figure 53: Top nodes of the FEM model selected 14

155. Select the View->View Selected Objects only menu command. 156. Unselect the four extra stiffener nodes. Your node selection should look as illustrated in Figure 54. 163. Open the General->Support control tab on the left. 164. Click on the Create button. The Create Support dialog box will appear. 165. Select the Foundation tab in the Create Support dialog box. 166. Enter the inputs as illustrated in Figure 56 Figure 54: Top nodes of the FEM model selected 157. Select the Assign button in the Data Area. 158. Check the Highlight Assigned Geometry box in the Specifications dialog box and select the SLAVE RIGID MASTER entry. 159. You will note that the Master node is indicated double circles and the attached slave nodes are highlighted in red as shown in Figure 55. Figure 56 Support Input Parameters 167. Click the Add button. 168. Select the Support 2 entry in the supports dialog box in the Data Area. Figure 55: Master node highlighted with double blue circles in the STAAD.Pro interface 160. The Master/Slave node specification was assigned so that we can apply a moment and axial force value at the master node and that moment will be distributed to the pipe section as forces using the rigid diaphragm action. 169. Select the Select->Plates Parallel to->xz menu command. 170. Select the Assign To Selected Plates option in the Supports dialog box. 171. Click on the Assign button. 172. Click on the whitespace in the graphics window to get rid of the plate selection. 161. Select the View->Whole Structure menu command. Support Conditions: 162. Let us assume that the base plate is resting on compacted soil with a sub-grade modulus of 144 kip/ft 2 /ft. 15

Loading: 173. Select the General->Load control tab on the left. 174. Click on Load Case Details tree item in the Data Area. 181. Select the Nodal Load->Node tree item on the left. 182. Enter the nodal loads (i.e. -25 kips Fy, -0.2 kip-ft Mx) as shown Figure 58. 175. Click the Add button. 176. The Add New: Load Cases dialog box will appear. Enter Dead Load + Wind Load in the Title text box as shown in Figure 57. Figure 58: Nodal Load Definition 183. Click the Add button. Click the Close Button. Figure 57: Load Definition 177. Click the Add button. Click the Close button. 178. Select the Dead Load + Wind Load tree item in the Data Area. 179. Click the Add button. 180. The Add New: Load Items dialog box will appear. Select the Selfweight tree item on the left and click on the Add button. 184. Select the entry for the nodal load in the Dead Load + Wind Load tree item. 185. Select the nodes cursor. 186. Select the master node in the graphics. 187. Select the Assign to Selected Nodes option in the Data Area. 188. Click on the Assign button. 189. The nodal load will be displayed in the graphics window as shown in Figure 59. Figure 58: Load Definition Figure 59: Nodal Load 16

Specifying Analysis Type: 190. Select the Analysis/Print control tab on the left. The Analysis/Print Commands dialog box will appear. Analysis Results: 194. Click on the Postprocessing tab at the top. 195. Click on the Ok button on the Results Setup box. 196. Click in the white space of the graphics window. Press Shift+S to turn off the supports. 197. Exaggerate the displacement scale. You will be able to see the displacement of the base plate as shown in Figure 62. Figure 60: Analysis/.Print Commands 191. Select the All option on the left and click on the Add button. 192. Click the Close button. 193. Select the Analyze->Run Analysis menu command. The STAAD Analysis and Design dialog box will appear and show you the progress of the Finite Element Analysis calculations. Figure 62: Displacement Diagram 198. You will be able to see the deflection values in the Displacement Table on the right. Click on the Nodes tab if the displacement tables are not visible. 199. Let us say that you were only interested in the displacement results for the base plate. Figure 61: Analysis/.Print Commands 200. Right click on the Displacement Table on the right and select the Results Setup option. 17

201. Select the Range tab. Select the Property option. 202. Select P2:Plate Thickness in the Property selection box. 207. Select Base Pressure in the Stress Type selection box. 208. You will be able to see the Base Pressure diagram as shown in Figure 65. 203. Click the Ok button. 204. Select the Summary tab in the displacement table. 205. You will notice that STAAD.Pro had reported the maximum and minimum deflections for all the node points connected to the base plate. The maximum displacement is -0.094 in for node#10. Figure 65: Base Pressure Diagram Figure 63: Displacement Table 206. Select the Plate tab on the left. The Diagrams dialog box will appear as shown in Figure 64. 209. This base pressure can be compared with the soil bearing capacity. If the soil bearing capacity is exceeded, you may have to increase the base plate dimensions or increase the size of the plates, provide more stiffeners etc. In this case, the maximum base pressure is 0.007 ksi. If the allowable base pressure is 0.017 ksi, this base plate design in ok from the serviceability check point of view. 210. Select the Plate tab on the left. The Diagrams dialog box will appear as shown in Figure 64. 211. Select Max Absolute in the Stress Type selection box. 212. Click on the Ok button. 213. You will be able to see the stress distribution diagram as illustrated in Figure 66. Figure 64: Displacement Table 18

Existing Model was modified to add more stiffeners (Approx. 20 min to modify the existing model): Figure 66: Stress Distribution Diagram 214. You can compare these values with the allowable steel stress. In this case, the stress in the steel is about 12 ksi. Recommended Exercises: - Try to increase the moment until you see some uplift. What is the best way to see if your base plate is experiencing uplift? - Try increasing the thickness of the stiffeners. How does this affect the base pressure distribution? Try a thinner base plate. - What if you want to put in more stiffeners? Figure 66: Uplift Conditions 19

STAAD.Pro Input File STAAD SPACE START JOB INFORMATION ENGINEER DATE 24-Mar-08 END JOB INFORMATION INPUT WIDTH 79 UNIT FEET KIP JOINT COORDINATES 1 0 0 6; 2 0 0 0; 3 6 0 0; 4 6 0 6; 5 2.53596 0 3.46404; 6 3 0 3.65625; 7 3.46404 0 3.46404; 8 3.65625 0 3; 9 3.46404 0 2.53596; 10 3 0 2.34375; 11 2.53596 0 2.53596; 12 2.34375 0 3; 13 2.10138 0 3.89861; 14 1.66681 0 4.33319; 15 1.23223 0 4.76777; 16 2.10138 0 2.10138; 17 1.66681 0 1.66681; 18 1.23223 0 1.23223; 19 3.89861 0 2.10138; 20 4.33319 0 1.66681; 21 4.76777 0 1.23223; 22 3.89861 0 3.89861; 23 4.33319 0 4.33319; 24 4.76777 0 4.76777; 25 2.53596 0.5 3.46404; 26 3 0.5 3.65625; 27 3.46404 0.5 3.46404; 28 3.65625 0.5 3; 29 3.46404 0.5 2.53596; 30 3 0.5 2.34375; 31 2.53596 0.5 2.53596; 32 2.34375 0.5 3; 33 2.53596 1 3.46404; 34 3 1 3.65625; 35 3.46404 1 3.46404; 36 3.65625 1 3; 37 3.46404 1 2.53596; 38 3 1 2.34375; 39 2.53596 1 2.53596; 40 2.34375 1 3; 41 2.53596 1.5 3.46404; 42 3 1.5 3.65625; 43 3.46404 1.5 3.46404; 44 3.65625 1.5 3; 45 3.46404 1.5 2.53596; 46 3 1.5 2.34375; 47 2.53596 1.5 2.53596; 48 2.34375 1.5 3; 49 2.53596 2 3.46404; 50 3 2 3.65625; 51 3.46404 2 3.46404; 52 3.65625 2 3; 53 3.46404 2 2.53596; 54 3 2 2.34375; 55 2.53596 2 2.53596; 56 2.34375 2 3; 57 2.53596 2.5 3.46404; 58 3 2.5 3.65625; 59 3.46404 2.5 3.46404; 60 3.65625 2.5 3; 61 3.46404 2.5 2.53596; 62 3 2.5 2.34375; 63 2.53596 2.5 2.53596; 64 2.34375 2.5 3; 65 2.29289 2.5 3.70711; 66 3.70711 2.5 3.70711; 67 3.70711 2.5 2.29289; 68 2.29289 2.5 2.29289; 69 1.23223 0.5 4.76777; 70 1.23223 0.5 1.23223; 71 4.76777 0.5 1.23223; 72 4.76777 0.5 4.76777; 73 1.44437 0.9 4.55563; 74 1.6565 1.3 4.3435; 75 1.86863 1.7 4.13137; 76 2.08076 2.1 3.91924; 77 3.91924 2.1 3.91924; 78 4.13137 1.7 4.13137; 79 4.3435 1.3 4.3435; 80 4.55563 0.9 4.55563; 81 3.91924 2.1 2.08076; 82 4.13137 1.7 1.86863; 83 4.3435 1.3 1.6565; 84 4.55563 0.9 1.44437; 85 2.08076 2.1 2.08076; 86 1.86863 1.7 1.86863; 87 1.6565 1.3 1.6565; 88 1.44437 0.9 1.44437; 89 1.54515 0.351884 4.45485; 90 2.02763 0.325968 3.97237; 91 2.2451 0.422251 3.7549; 92 2.09795 0.766686 3.90205; 93 2.16752 1.32224 3.83248; 94 1.83028 0.874107 4.16972; 95 1.73638 0.555583 4.26362; 96 2.26142 1.64076 3.73859; 97 4.45485 0.351884 4.45485; 98 3.97237 0.325968 3.97237; 99 3.7549 0.422251 3.7549; 100 3.90205 0.766686 3.90205; 101 3.83248 1.32224 3.83248; 102 4.16972 0.874107 4.16972; 103 4.26362 0.555583 4.26362; 104 3.73859 1.64076 3.73858; 105 4.45485 0.351884 1.54515; 106 3.97237 0.325968 2.02763; 107 3.7549 0.422251 2.2451; 108 3.90205 0.766686 2.09795; 109 3.83248 1.32224 2.16752; 110 4.16972 0.874107 1.83028; 111 4.26362 0.555583 1.73638; 112 3.73858 1.64076 2.26141; 113 1.54515 0.351884 1.54515; 114 2.02763 0.325968 2.02763; 115 2.2451 0.422251 2.2451; 116 2.09795 0.766686 2.09795; 117 2.16752 1.32224 2.16752; 118 1.83028 0.874107 1.83028; 119 1.73638 0.555583 1.73638; 120 2.26141 1.64076 2.26142; 121 0 0 5.5; 122 0 0 5; 123 0 0 4.5; 124 0 0 4; 125 0 0 3.5; 126 0 0 3; 127 0 0 2.5; 128 0 0 2; 129 0 0 1.5; 130 0 0 1; 131 0 0 0.5; 132 0.5 0 0; 133 1 0 0; 134 1.5 0 0; 135 2 0 0; 136 2.5 0 0; 137 3 0 0; 138 3.5 0 0; 139 4 0 0; 140 4.5 0 0; 141 5 0 0; 142 5.5 0 0; 143 6 0 0.5; 144 6 0 1; 145 6 0 1.5; 146 6 0 2; 147 6 0 2.5; 148 6 0 3; 149 6 0 3.5; 150 6 0 4; 151 6 0 4.5; 152 6 0 5; 153 6 0 5.5; 154 5.5 0 6; 155 5 0 6; 156 4.5 0 6; 157 4 0 6; 158 3.5 0 6; 159 3 0 6; 160 2.5 0 6; 161 2 0 6; 162 1.5 0 6; 163 1 0 6; 164 0.5 0 6; 165 1.55364 0 4.76777; 166 1.87506 0 4.76777; 167 2.19647 0 4.76777; 168 2.51788 0 4.76777; 169 2.83929 0 4.76777; 170 3.16071 0 4.76777; 171 3.48212 0 4.76777; 172 3.80353 0 4.76777; 173 4.12494 0 4.76777; 174 4.44636 0 4.76777; 175 0.308057 0 5.69194; 176 0.616115 0 5.38389; 177 0.924172 0 5.07583; 178 5.07583 0 5.07583; 179 5.38389 0 5.38389; 180 5.69194 0 5.69194; 181 1.71435 0 5.39205; 182 4.28565 0 5.39205; 183 2.67859 0 5.38635; 184 3.64283 0 5.38168; 185 1.39294 0 5.14196; 186 2.03576 0 5.14196; 187 4.60706 0 5.14196; 188 3 0 5.13969; 189 3.96424 0 5.13783; 190 1.30322 0 5.58886; 191 4.69678 0 5.58886; 192 2.11471 0 5.57502; 193 3.07476 0 5.56984; 194 2.67859 0 5.05618; 195 2.37348 0 5.22126; 196 1.71435 0 5.0584; 197 3.32141 0 5.05789; 198 4.28565 0 5.05748; 20

199 3.64283 0 5.04636; 200 0.629598 0 5.70543; 201 0.946326 0 5.53109; 202 5.3704 0 5.70543; 203 5.05367 0 5.53109; 204 2.40952 0 5.51915; 205 2.67503 0 5.71813; 206 3.21787 0 5.3234; 207 3.39744 0 5.59244; 208 3.72578 0 5.7265; 209 3.96262 0 5.48713; 210 4.20873 0 5.72699; 211 1.1623 0 5.32811; 212 4.8377 0 5.32811; 213 1.84254 0 5.22522; 214 2.01894 0 5.36876; 215 1.88027 0 5.55851; 216 1.59706 0 5.67487; 217 1.98335 0 5.76753; 218 2.18457 0 5.26702; 219 2.23379 0 5.05739; 220 2.45606 0 5.0094; 221 2.06323 0 4.93215; 222 1.89667 0 5.01705; 223 1.6699 0 5.22522; 224 1.47656 0 5.36607; 225 1.55496 0 5.10526; 226 1.43168 0 4.937; 227 1.60168 0 4.93095; 228 2.57069 0 5.22126; 229 2.75093 0 5.22126; 230 2.91646 0 5.3922; 231 2.84334 0 5.08238; 232 2.78377 0 4.92581; 233 2.85945 0 5.60235; 234 2.99604 0 5.77774; 235 4.41349 0 5.22477; 236 4.59319 0 5.3772; 237 4.44881 0 5.57904; 238 4.5651 0 5.77849; 239 4.24013 0 5.22477; 240 4.09868 0 5.3531; 241 4.15751 0 5.53892; 242 4.0161 0 5.67845; 243 4.12653 0 5.10402; 244 4.00696 0 4.93646; 245 3.82865 0 5.00385; 246 3.77444 0 5.1943; 247 3.60333 0 5.21402; 248 3.43166 0 5.34295; 249 3.48374 0 5.09736; 250 3.4378 0 4.93279; 251 4.17583 0 4.92897; 252 4.45707 0 5.05897; 253 4.62698 0 4.92891; 254 4.37259 0 4.91628; 255 2.67859 0 4.17716; 256 3.32141 0 4.17716; 257 3 0 4.40687; 258 2.35717 0 4.40687; 259 3.64283 0 4.40687; 260 2.03576 0 4.47998; 261 3.96424 0 4.47998; 262 2.67859 0 4.49433; 263 3.32141 0 4.49433; 264 1.71435 0 4.57759; 265 1.84372 0 4.42561; 266 4.28565 0 4.57759; 267 4.15628 0 4.4256; 268 2.54913 0 4.33574; 269 2.34971 0 4.09213; 270 2.59469 0 3.82312; 271 2.50292 0 4.5056; 272 2.32631 0 4.60936; 273 2.88076 0 3.94229; 274 2.15558 0 4.60183; 275 2.19617 0 4.44209; 276 2.23899 0 4.25222; 277 2.80804 0 4.33574; 278 2.98076 0 4.16421; 279 3.15946 0 3.9502; 280 2.85426 0 4.5056; 281 3.03086 0 4.60936; 282 3.15066 0 4.4875; 283 3.15938 0 4.29015; 284 3.45087 0 4.33574; 285 3.62241 0 4.06358; 286 3.49708 0 4.5056; 287 3.67369 0 4.60936; 288 3.79351 0 4.4875; 289 3.88508 0 4.62454; 290 4.04996 0 4.62087; 291 4.76777 0 4.44636; 292 4.76777 0 4.12494; 293 4.76777 0 3.80353; 294 4.76777 0 3.48212; 295 4.76777 0 3.16071; 296 4.76777 0 2.83929; 297 4.76777 0 2.51788; 298 4.76777 0 2.19647; 299 4.76777 0 1.87506; 300 4.76777 0 1.55364; 301 5.07583 0 0.924173; 302 5.38389 0 0.616115; 303 5.69194 0 0.308058; 304 5.39205 0 4.28565; 305 5.39205 0 1.71435; 306 5.38635 0 3.32141; 307 5.38168 0 2.35717; 308 5.14196 0 4.60706; 309 5.14196 0 3.96424; 310 5.14196 0 1.39294; 311 5.13969 0 3; 312 5.13783 0 2.03576; 313 5.58886 0 4.69678; 314 5.58886 0 1.30322; 315 5.57502 0 3.88529; 316 5.56984 0 2.92524; 317 5.05618 0 3.32141; 318 5.22126 0 3.62652; 319 5.0584 0 4.28565; 320 5.05789 0 2.67859; 321 5.05748 0 1.71435; 322 5.04636 0 2.35717; 323 5.70543 0 5.3704; 324 5.53109 0 5.05367; 325 5.70543 0 0.629598; 326 5.53109 0 0.946326; 327 5.51915 0 3.59048; 328 5.71813 0 3.32497; 329 5.3234 0 2.78213; 330 5.59244 0 2.60256; 331 5.7265 0 2.27422; 332 5.48713 0 2.03738; 333 5.72699 0 1.79127; 334 5.32811 0 4.8377; 335 5.32811 0 1.1623; 336 5.22522 0 4.15746; 337 5.36876 0 3.98106; 338 5.55851 0 4.11974; 339 5.67487 0 4.40294; 340 5.76753 0 4.01665; 341 5.26702 0 3.81543; 342 5.05739 0 3.76621; 343 5.0094 0 3.54394; 344 4.93215 0 3.93677; 345 5.01705 0 4.10333; 346 5.22522 0 4.3301; 347 5.36607 0 4.52344; 348 5.10526 0 4.44504; 349 4.937 0 4.56832; 350 4.93095 0 4.39832; 351 5.22126 0 3.42931; 352 5.22126 0 3.24907; 353 5.3922 0 3.08354; 354 5.08238 0 3.15666; 355 4.92581 0 3.21623; 356 5.60235 0 3.14055; 357 5.77774 0 3.00396; 358 5.22477 0 1.58651; 359 5.3772 0 1.40681; 360 5.57904 0 1.55119; 361 5.77849 0 1.4349; 362 5.22477 0 1.75987; 363 5.3531 0 1.90132; 364 5.53892 0 1.84249; 365 5.67845 0 1.9839; 366 5.10402 0 1.87347; 367 4.93646 0 1.99304; 368 5.00385 0 2.17135; 369 5.1943 0 2.22556; 370 5.21402 0 2.39667; 371 5.34295 0 2.56834; 372 5.09736 0 2.51626; 373 4.93279 0 2.5622; 374 4.92897 0 1.82417; 375 5.05897 0 1.54293; 376 4.92891 0 1.37302; 377 4.91628 0 1.62741; 378 4.17716 0 3.32141; 379 4.17716 0 2.67859; 380 4.40687 0 3; 381 4.40687 0 3.64283; 382 4.40687 0 2.35717; 383 4.47998 0 3.96424; 384 4.47998 0 2.03576; 385 4.49433 0 3.32141; 386 4.49433 0 2.67859; 387 4.57759 0 4.28565; 388 4.42561 0 4.15628; 389 4.57759 0 1.71435; 390 4.4256 0 1.84372; 391 4.33574 0 3.45087; 392 4.09213 0 3.65029; 393 3.82312 0 3.40531; 394 4.5056 0 3.49708; 395 4.60936 0 3.67369; 396 3.94229 0 3.11924; 397 4.60183 0 3.84442; 398 4.44209 0 3.80383; 399 4.25222 0 3.76101; 400 4.33574 0 3.19196; 401 4.16421 0 3.01924; 402 3.9502 0 2.84054; 21

403 4.5056 0 3.14574; 404 4.60936 0 2.96914; 405 4.4875 0 2.84934; 406 4.29015 0 2.84062; 407 4.33574 0 2.54913; 408 4.06358 0 2.37759; 409 4.5056 0 2.50292; 410 4.60936 0 2.32631; 411 4.4875 0 2.20649; 412 4.62454 0 2.11492; 413 4.62087 0 1.95004; 414 4.44636 0 1.23223; 415 4.12494 0 1.23223; 416 3.80353 0 1.23223; 417 3.48212 0 1.23223; 418 3.16071 0 1.23223; 419 2.83929 0 1.23223; 420 2.51788 0 1.23223; 421 2.19647 0 1.23223; 422 1.87506 0 1.23223; 423 1.55364 0 1.23223; 424 0.924173 0 0.924173; 425 0.616115 0 0.616115; 426 0.308058 0 0.308058; 427 4.28565 0 0.607951; 428 1.71435 0 0.607951; 429 3.32141 0 0.613653; 430 2.35717 0 0.618317; 431 4.60706 0 0.858035; 432 3.96424 0 0.858036; 433 1.39294 0 0.858035; 434 3 0 0.860314; 435 2.03576 0 0.862171; 436 4.69678 0 0.411144; 437 1.30322 0 0.411144; 438 3.88529 0 0.424982; 439 2.92524 0 0.430157; 440 3.32141 0 0.943817; 441 3.62652 0 0.778735; 442 4.28565 0 0.941604; 443 2.67859 0 0.942109; 444 1.71435 0 0.942515; 445 2.35717 0 0.95364; 446 5.3704 0 0.294575; 447 5.05367 0 0.468908; 448 0.629598 0 0.294575; 449 0.946326 0 0.468909; 450 3.59048 0 0.480853; 451 3.32497 0 0.281874; 452 2.78213 0 0.676604; 453 2.60256 0 0.407558; 454 2.27422 0 0.2735; 455 2.03738 0 0.512869; 456 1.79127 0 0.273009; 457 4.8377 0 0.671886; 458 1.1623 0 0.671886; 459 4.15746 0 0.774778; 460 3.98106 0 0.631245; 461 4.11974 0 0.441488; 462 4.40294 0 0.325134; 463 4.01665 0 0.232466; 464 3.81543 0 0.732979; 465 3.76621 0 0.942609; 466 3.54394 0 0.990603; 467 3.93677 0 1.06785; 468 4.10333 0 0.982949; 469 4.3301 0 0.774778; 470 4.52344 0 0.633926; 471 4.44504 0 0.894739; 472 4.56832 0 1.063; 473 4.39832 0 1.06905; 474 3.42931 0 0.778735; 475 3.24907 0 0.778735; 476 3.08354 0 0.607803; 477 3.15666 0 0.917623; 478 3.21623 0 1.07419; 479 3.14055 0 0.397649; 480 3.00396 0 0.222263; 481 1.58651 0 0.775233; 482 1.40681 0 0.622799; 483 1.55119 0 0.420956; 484 1.4349 0 0.221507; 485 1.75987 0 0.775233; 486 1.90132 0 0.646903; 487 1.84249 0 0.461076; 488 1.9839 0 0.321553; 489 1.87347 0 0.895982; 490 1.99304 0 1.06354; 491 2.17135 0 0.996152; 492 2.22556 0 0.805696; 493 2.39667 0 0.785979; 494 2.56834 0 0.657052; 495 2.51626 0 0.902635; 496 2.5622 0 1.06721; 497 1.82417 0 1.07103; 498 1.54293 0 0.941026; 499 1.37302 0 1.07109; 500 1.62741 0 1.08372; 501 3.32141 0 1.82284; 502 2.67859 0 1.82284; 503 3 0 1.59313; 504 3.64283 0 1.59313; 505 2.35717 0 1.59313; 506 3.96424 0 1.52002; 507 2.03576 0 1.52002; 508 3.32141 0 1.50567; 509 2.67859 0 1.50567; 510 4.28565 0 1.42241; 511 4.15628 0 1.57439; 512 1.71435 0 1.42241; 513 1.84372 0 1.5744; 514 3.45087 0 1.66426; 515 3.65029 0 1.90787; 516 3.40531 0 2.17688; 517 3.49708 0 1.4944; 518 3.67369 0 1.39064; 519 3.11924 0 2.05771; 520 3.84442 0 1.39817; 521 3.80383 0 1.55791; 522 3.76101 0 1.74778; 523 3.19196 0 1.66426; 524 3.01924 0 1.83579; 525 2.84054 0 2.0498; 526 3.14574 0 1.4944; 527 2.96914 0 1.39064; 528 2.84934 0 1.5125; 529 2.84062 0 1.70985; 530 2.54913 0 1.66426; 531 2.37759 0 1.93642; 532 2.50292 0 1.4944; 533 2.32631 0 1.39064; 534 2.20649 0 1.5125; 535 2.11492 0 1.37546; 536 1.95004 0 1.37913; 537 1.23223 0 1.55364; 538 1.23223 0 1.87506; 539 1.23223 0 2.19647; 540 1.23223 0 2.51788; 541 1.23223 0 2.83929; 542 1.23223 0 3.16071; 543 1.23223 0 3.48212; 544 1.23223 0 3.80353; 545 1.23223 0 4.12494; 546 1.23223 0 4.44636; 547 0.607951 0 1.71435; 548 0.607951 0 4.28565; 549 0.613653 0 2.67859; 550 0.618317 0 3.64283; 551 0.858035 0 1.39294; 552 0.858036 0 2.03576; 553 0.858035 0 4.60706; 554 0.860314 0 3; 555 0.862171 0 3.96424; 556 0.411144 0 1.30322; 557 0.411144 0 4.69678; 558 0.424982 0 2.11471; 559 0.430157 0 3.07476; 560 0.943817 0 2.67859; 561 0.778735 0 2.37348; 562 0.941604 0 1.71435; 563 0.942109 0 3.32141; 564 0.942515 0 4.28565; 565 0.95364 0 3.64283; 566 0.294575 0 0.629598; 567 0.468908 0 0.946326; 568 0.294575 0 5.3704; 569 0.468909 0 5.05367; 570 0.480853 0 2.40952; 571 0.281874 0 2.67503; 572 0.676604 0 3.21787; 573 0.407558 0 3.39744; 574 0.2735 0 3.72578; 575 0.512869 0 3.96262; 576 0.273009 0 4.20873; 577 0.671886 0 1.1623; 578 0.671886 0 4.8377; 579 0.774778 0 1.84254; 580 0.631245 0 2.01894; 581 0.441488 0 1.88027; 582 0.325134 0 1.59706; 583 0.232466 0 1.98335; 584 0.732979 0 2.18457; 585 0.942609 0 2.23379; 586 0.990603 0 2.45606; 587 1.06785 0 2.06323; 588 0.982949 0 1.89667; 589 0.774778 0 1.6699; 590 0.633926 0 1.47656; 591 0.894739 0 1.55496; 592 1.063 0 1.43168; 593 1.06905 0 1.60168; 594 0.778735 0 2.57069; 595 0.778735 0 2.75093; 596 0.607803 0 2.91646; 597 0.917623 0 2.84334; 598 1.07419 0 2.78377; 599 0.397649 0 2.85945; 600 0.222263 0 2.99604; 601 0.775233 0 4.41349; 602 0.622799 0 4.59319; 603 0.420956 0 4.44881; 604 0.221507 0 4.5651; 605 0.775233 0 4.24013; 606 0.646903 0 4.09868; 22

607 0.461076 0 4.15751; 608 0.321553 0 4.0161; 609 0.895982 0 4.12653; 610 1.06354 0 4.00696; 611 0.996152 0 3.82865; 612 0.805696 0 3.77444; 613 0.785979 0 3.60333; 614 0.657052 0 3.43166; 615 0.902635 0 3.48374; 616 1.06721 0 3.4378; 617 1.07103 0 4.17583; 618 0.941026 0 4.45707; 619 1.07109 0 4.62698; 620 1.08372 0 4.37259; 621 1.82284 0 2.67859; 622 1.82284 0 3.32141; 623 1.59313 0 3; 624 1.59313 0 2.35717; 625 1.59313 0 3.64283; 626 1.52002 0 2.03576; 627 1.52002 0 3.96424; 628 1.50567 0 2.67859; 629 1.50567 0 3.32141; 630 1.42241 0 1.71435; 631 1.57439 0 1.84372; 632 1.42241 0 4.28565; 633 1.5744 0 4.15628; 634 1.66426 0 2.54913; 635 1.90787 0 2.34971; 636 2.17688 0 2.59469; 637 1.4944 0 2.50292; 638 1.39064 0 2.32631; 639 2.05771 0 2.88076; 640 1.39817 0 2.15558; 641 1.55791 0 2.19617; 642 1.74778 0 2.23899; 643 1.66426 0 2.80804; 644 1.83579 0 2.98076; 645 2.0498 0 3.15946; 646 1.4944 0 2.85426; 647 1.39064 0 3.03086; 648 1.5125 0 3.15066; 649 1.70985 0 3.15938; 650 1.66426 0 3.45087; 651 1.93642 0 3.62241; 652 1.4944 0 3.49708; 653 1.39064 0 3.67369; 654 1.5125 0 3.79351; 655 1.37546 0 3.88508; 656 1.37913 0 4.04996; 657 3.00001 0 3.219; 658 3 2.5 3; ELEMENT INCIDENCES SHELL 117 5 6 26 25; 118 6 7 27 26; 119 7 8 28 27; 120 8 9 29 28; 121 9 10 30 29; 122 10 11 31 30; 123 11 12 32 31; 124 12 5 25 32; 125 25 26 34 33; 126 26 27 35 34; 127 27 28 36 35; 128 28 29 37 36; 129 29 30 38 37; 130 30 31 39 38; 131 31 32 40 39; 132 32 25 33 40; 133 33 34 42 41; 134 34 35 43 42; 135 35 36 44 43; 136 36 37 45 44; 137 37 38 46 45; 138 38 39 47 46; 139 39 40 48 47; 140 40 33 41 48; 141 41 42 50 49; 142 42 43 51 50; 143 43 44 52 51; 144 44 45 53 52; 145 45 46 54 53; 146 46 47 55 54; 147 47 48 56 55; 148 48 41 49 56; 149 49 50 58 57; 150 50 51 59 58; 151 51 52 60 59; 152 52 53 61 60; 153 53 54 62 61; 154 54 55 63 62; 155 55 56 64 63; 156 56 49 57 64; 173 89 69 15; 174 90 91 92; 175 93 92 33; 176 94 73 95; 177 89 95 73; 178 96 41 49; 179 49 57 65; 180 49 65 76; 181 96 75 93; 182 94 92 93; 183 92 25 33; 184 91 25 92; 185 91 13 5; 186 90 95 14; 187 93 75 74; 188 96 76 75; 189 93 33 41; 190 89 14 95; 191 94 74 73; 192 91 5 25; 193 90 13 91; 194 96 49 76; 195 96 93 41; 196 94 93 74; 197 94 95 92; 198 89 15 14; 199 89 73 69; 200 90 14 13; 201 90 92 95; 202 97 72 24; 203 98 99 100; 204 101 100 35; 205 102 80 103; 206 97 103 80; 207 104 43 51; 208 51 59 66; 209 51 66 77; 210 104 78 101; 211 102 100 101; 212 100 27 35; 213 99 27 100; 214 99 22 7; 215 98 103 23; 216 101 78 79; 217 104 77 78; 218 101 35 43; 219 97 23 103; 220 102 79 80; 221 99 7 27; 222 98 22 99; 223 104 51 77; 224 104 101 43; 225 102 101 79; 226 102 103 100; 227 97 24 23; 228 97 80 72; 229 98 23 22; 230 98 100 103; 231 105 71 21; 232 106 107 108; 233 109 108 37; 234 110 84 111; 235 105 111 84; 236 112 45 53; 237 53 61 67; 238 53 67 81; 239 112 82 109; 240 110 108 109; 241 108 29 37; 242 107 29 108; 243 107 19 9; 244 106 111 20; 245 109 82 83; 246 112 81 82; 247 109 37 45; 248 105 20 111; 249 110 83 84; 250 107 9 29; 251 106 19 107; 252 112 53 81; 253 112 109 45; 254 110 109 83; 255 110 111 108; 256 105 21 20; 257 105 84 71; 258 106 20 19; 259 106 108 111; 260 113 70 18; 261 114 115 116; 262 117 116 39; 263 118 88 119; 264 113 119 88; 265 120 47 55; 266 55 63 68; 267 55 68 85; 268 120 86 117; 269 118 116 117; 270 116 31 39; 271 115 31 116; 272 115 16 11; 273 114 119 17; 274 117 86 87; 275 120 85 86; 276 117 39 47; 277 113 17 119; 278 118 87 88; 279 115 11 31; 280 114 16 115; 281 120 55 85; 282 120 117 47; 283 118 117 87; 284 118 119 116; 285 113 18 17; 286 113 88 70; 287 114 17 16; 288 114 116 119; 357 172 173 244; 358 223 213 181; 359 214 213 186; 360 222 166 221; 361 196 222 213; 362 226 227 225; 363 220 194 228; 364 188 231 232; 365 204 228 183; 366 229 231 188; 367 194 229 228; 368 220 195 219; 369 228 229 183; 370 218 204 192; 371 192 214 218; 372 169 232 168; 373 195 228 204; 374 200 164 175; 375 185 224 211; 376 178 187 253; 377 157 158 208; 378 226 185 15; 379 226 165 227; 380 213 223 196; 381 214 215 181; 382 224 185 225; 383 222 196 166; 384 216 162 190; 385 181 215 216; 386 224 216 190; 387 161 217 160; 388 211 190 201; 389 181 213 214; 390 230 183 229; 391 187 252 253; 392 243 244 251; 393 252 187 235; 394 251 244 173; 395 236 235 187; 396 239 235 182; 397 252 235 198; 23

398 179 203 178; 399 180 154 202; 400 179 202 203; 401 180 202 179; 402 15 165 226; 403 191 212 203; 404 235 236 182; 405 249 250 199; 406 199 250 171; 407 206 193 230; 408 188 197 206; 409 197 249 248; 410 159 205 234; 411 201 177 211; 412 247 199 246; 413 171 250 170; 414 182 240 239; 415 239 198 235; 416 155 156 238; 417 210 237 238; 418 207 193 206; 419 207 208 158; 420 242 209 241; 421 208 242 157; 422 246 199 245; 423 201 200 176; 424 219 195 218; 425 177 201 176; 426 201 190 163; 427 154 155 202; 428 182 241 240; 429 155 203 202; 430 236 212 191; 431 205 204 183; 432 160 204 205; 433 183 230 233; 434 233 234 205; 435 216 217 162; 436 206 248 207; 437 208 207 184; 438 158 159 234; 439 209 208 184; 440 167 219 221; 441 209 184 246; 442 241 209 240; 443 237 182 236; 444 156 157 210; 445 225 227 196; 446 1 175 164; 447 178 212 187; 448 178 203 212; 449 163 200 201; 450 163 164 200; 451 218 214 186; 452 214 192 215; 453 192 217 215; 454 204 218 195; 455 215 217 216; 456 162 163 190; 457 217 192 160; 458 161 162 217; 459 160 192 204; 460 219 218 186; 461 221 219 186; 462 167 168 220; 463 220 219 167; 464 234 233 193; 465 222 221 186; 466 166 167 221; 467 213 222 186; 468 224 223 181; 469 225 196 223; 470 196 227 166; 471 216 224 181; 472 211 224 190; 473 224 225 223; 474 225 185 226; 475 168 194 220; 476 172 244 245; 477 177 185 211; 478 177 15 185; 479 166 227 165; 480 220 228 195; 481 231 229 194; 482 230 193 233; 483 229 188 230; 484 206 230 188; 485 194 232 231; 486 232 169 170; 487 232 194 168; 488 188 232 170; 489 198 254 252; 490 183 233 205; 491 160 205 159; 492 4 154 180; 493 207 234 193; 494 207 158 234; 495 212 236 187; 496 236 191 237; 497 238 237 191; 498 241 237 210; 499 238 191 155; 500 210 238 156; 501 155 191 203; 502 243 198 239; 503 209 189 240; 504 243 240 189; 505 237 241 182; 506 241 210 242; 507 157 242 210; 508 208 209 242; 509 240 243 239; 510 243 189 244; 511 245 244 189; 512 246 245 189; 513 245 199 172; 514 209 246 189; 515 247 246 184; 516 248 247 184; 517 249 199 247; 518 207 248 184; 519 197 248 206; 520 248 249 247; 521 250 249 197; 522 250 197 170; 523 172 199 171; 524 170 197 188; 525 243 251 198; 526 175 176 200; 527 253 174 24; 528 253 252 254; 529 251 254 198; 530 178 253 24; 531 253 254 174; 532 173 254 251; 533 173 174 254; 534 169 281 170; 535 14 165 15; 536 286 263 284; 537 166 260 274; 538 166 265 260; 539 275 272 274; 540 271 272 258; 541 280 262 277; 542 255 277 268; 543 6 273 270; 544 277 255 278; 545 281 169 280; 546 282 283 263; 547 271 268 262; 548 258 269 268; 549 255 269 270; 550 165 14 264; 551 255 270 273; 552 23 174 266; 553 263 171 170; 554 281 280 257; 555 259 284 285; 556 169 168 262; 557 171 286 287; 558 173 289 290; 559 266 174 173; 560 258 276 269; 561 24 174 23; 562 266 267 23; 563 288 289 287; 564 171 263 286; 565 271 258 268; 566 262 268 277; 567 281 282 170; 568 263 283 284; 569 265 264 14; 570 280 277 257; 571 172 287 289; 572 258 275 276; 573 265 276 260; 574 290 266 173; 575 288 259 285; 576 287 286 259; 577 22 267 261; 578 260 276 275; 579 255 268 269; 580 274 260 275; 581 6 270 5; 582 258 272 275; 583 262 168 271; 584 168 272 271; 585 274 272 167; 586 283 279 256; 587 277 278 257; 588 13 270 269; 589 13 5 270; 590 166 274 167; 591 166 264 265; 592 278 255 273; 593 265 13 276; 594 265 14 13; 595 276 13 269; 596 279 278 273; 597 256 284 283; 598 273 6 279; 599 7 279 6; 600 169 262 280; 601 173 172 289; 602 282 281 257; 603 282 257 283; 604 170 282 263; 605 257 278 283; 606 279 283 278; 607 285 284 256; 608 286 284 259; 609 279 285 256; 610 288 285 261; 611 7 285 279; 612 7 22 285; 613 288 287 259; 614 171 287 172; 615 22 261 285; 616 288 261 289; 617 290 289 261; 618 22 23 267; 619 261 267 290; 620 266 290 267; 621 168 167 272; 622 166 165 264; 636 298 299 367; 637 346 336 304; 638 337 336 309; 639 345 292 344; 640 319 345 336; 641 349 350 348; 642 343 317 351; 643 311 354 355; 644 327 351 306; 645 352 354 311; 646 317 352 351; 647 343 318 342; 648 351 352 306; 649 341 327 315; 650 315 337 341; 651 295 355 294; 652 318 351 327; 653 323 153 180; 654 308 347 334; 655 301 310 376; 656 146 147 331; 657 349 308 24; 658 349 291 350; 659 336 346 319; 660 337 338 304; 661 347 308 348; 662 345 319 292; 663 339 151 313; 664 304 338 339; 665 347 339 313; 666 150 340 149; 667 334 313 324; 668 304 336 337; 669 353 306 352; 670 310 375 376; 671 366 367 374; 672 375 310 358; 673 374 367 299; 674 359 358 310; 675 362 358 305; 676 375 358 321; 677 302 326 301; 678 303 143 325; 679 302 325 326; 680 303 325 302; 24

681 24 291 349; 682 314 335 326; 683 358 359 305; 684 372 373 322; 685 322 373 297; 686 329 316 353; 687 311 320 329; 688 320 372 371; 689 148 328 357; 690 324 178 334; 691 370 322 369; 692 297 373 296; 693 305 363 362; 694 362 321 358; 695 144 145 361; 696 333 360 361; 697 330 316 329; 698 330 331 147; 699 365 332 364; 700 331 365 146; 701 369 322 368; 702 324 323 179; 703 342 318 341; 704 178 324 179; 705 324 313 152; 706 143 144 325; 707 305 364 363; 708 144 326 325; 709 359 335 314; 710 328 327 306; 711 149 327 328; 712 306 353 356; 713 356 357 328; 714 339 340 151; 715 329 371 330; 716 331 330 307; 717 147 148 357; 718 332 331 307; 719 293 342 344; 720 332 307 369; 721 364 332 363; 722 360 305 359; 723 145 146 333; 724 348 350 319; 725 4 180 153; 726 301 335 310; 727 301 326 335; 728 152 323 324; 729 152 153 323; 730 341 337 309; 731 337 315 338; 732 315 340 338; 733 327 341 318; 734 338 340 339; 735 151 152 313; 736 340 315 149; 737 150 151 340; 738 149 315 327; 739 342 341 309; 740 344 342 309; 741 293 294 343; 742 343 342 293; 743 357 356 316; 744 345 344 309; 745 292 293 344; 746 336 345 309; 747 347 346 304; 748 348 319 346; 749 319 350 292; 750 339 347 304; 751 334 347 313; 752 347 348 346; 753 348 308 349; 754 294 317 343; 755 298 367 368; 756 178 308 334; 757 178 24 308; 758 292 350 291; 759 343 351 318; 760 354 352 317; 761 353 316 356; 762 352 311 353; 763 329 353 311; 764 317 355 354; 765 355 295 296; 766 355 317 294; 767 311 355 296; 768 321 377 375; 769 306 356 328; 770 149 328 148; 771 3 143 303; 772 330 357 316; 773 330 147 357; 774 335 359 310; 775 359 314 360; 776 361 360 314; 777 364 360 333; 778 361 314 144; 779 333 361 145; 780 144 314 326; 781 366 321 362; 782 332 312 363; 783 366 363 312; 784 360 364 305; 785 364 333 365; 786 146 365 333; 787 331 332 365; 788 363 366 362; 789 366 312 367; 790 368 367 312; 791 369 368 312; 792 368 322 298; 793 332 369 312; 794 370 369 307; 795 371 370 307; 796 372 322 370; 797 330 371 307; 798 320 371 329; 799 371 372 370; 800 373 372 320; 801 373 320 296; 802 298 322 297; 803 296 320 311; 804 366 374 321; 805 180 179 323; 806 376 300 21; 807 376 375 377; 808 374 377 321; 809 301 376 21; 810 376 377 300; 811 299 377 374; 812 299 300 377; 813 295 404 296; 814 23 291 24; 815 409 386 407; 816 292 383 397; 817 292 388 383; 818 398 395 397; 819 394 395 381; 820 403 385 400; 821 378 400 391; 822 8 396 393; 823 400 378 401; 824 404 295 403; 825 405 406 386; 826 394 391 385; 827 381 392 391; 828 378 392 393; 829 291 23 387; 830 378 393 396; 831 20 300 389; 832 386 297 296; 833 404 403 380; 834 382 407 408; 835 295 294 385; 836 297 409 410; 837 299 412 413; 838 389 300 299; 839 381 399 392; 840 21 300 20; 841 389 390 20; 842 411 412 410; 843 297 386 409; 844 394 381 391; 845 385 391 400; 846 404 405 296; 847 386 406 407; 848 388 387 23; 849 403 400 380; 850 298 410 412; 851 381 398 399; 852 388 399 383; 853 413 389 299; 854 411 382 408; 855 410 409 382; 856 19 390 384; 857 383 399 398; 858 378 391 392; 859 397 383 398; 860 8 393 7; 861 381 395 398; 862 385 294 394; 863 294 395 394; 864 397 395 293; 865 406 402 379; 866 400 401 380; 867 22 393 392; 868 22 7 393; 869 292 397 293; 870 292 387 388; 871 401 378 396; 872 388 22 399; 873 388 23 22; 874 399 22 392; 875 402 401 396; 876 379 407 406; 877 396 8 402; 878 9 402 8; 879 295 385 403; 880 299 298 412; 881 405 404 380; 882 405 380 406; 883 296 405 386; 884 380 401 406; 885 402 406 401; 886 408 407 379; 887 409 407 382; 888 402 408 379; 889 411 408 384; 890 9 408 402; 891 9 19 408; 892 411 410 382; 893 297 410 298; 894 19 384 408; 895 411 384 412; 896 413 412 384; 897 19 20 390; 898 384 390 413; 899 389 413 390; 900 294 293 395; 901 292 291 387; 915 421 422 490; 916 469 459 427; 917 460 459 432; 918 468 415 467; 919 442 468 459; 920 472 473 471; 921 466 440 474; 922 434 477 478; 923 450 474 429; 924 475 477 434; 925 440 475 474; 926 466 441 465; 927 474 475 429; 928 464 450 438; 929 438 460 464; 930 418 478 417; 931 441 474 450; 932 446 142 303; 933 431 470 457; 934 424 433 499; 935 135 136 454; 936 472 431 21; 937 472 414 473; 938 459 469 442; 939 460 461 427; 940 470 431 471; 941 468 442 415; 942 462 140 436; 943 427 461 462; 944 470 462 436; 945 139 463 138; 946 457 436 447; 947 427 459 460; 948 476 429 475; 949 433 498 499; 950 489 490 497; 951 498 433 481; 952 497 490 422; 953 482 481 433; 954 485 481 428; 955 498 481 444; 956 425 449 424; 957 426 132 448; 958 425 448 449; 959 426 448 425; 960 21 414 472; 961 437 458 449; 962 481 482 428; 963 495 496 445; 25