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10050188_DE113_IN0341 (83210) Hamilton Crossing Structural Analysis with Modification Design 03.24.2022 (1).pdf
520 South Main Street . Suite 2531 . Akron, Ohio 44311 . 330-572-2100 . Fax 330-572-2101 . www.GPDGroup.com GPD Group, Inc. Ericsson Inc. Traci Preble 55 Monument Circle 520 South Main Street, Suite 2531 Indianapolis, IN 46204 Akron, OH 44311 (317) 295-3164 tpreble@gpdgroup.com GPD# 2022723.16.83210.02 March 24, 2022 STRUCTURAL ANALYSIS REPORT WITH MODIFICATION DESIGN AT&T DESIGNATION: Site #: 83210 Site Name: FA #: Client #: Hamilton Crossing 10050188 IN0341 ANALYSIS CRITERIA: Codes: TIA-222-G & 2014 Indiana Building Code 115 mph (ultimate 3-second gust) w/ 0" ice 89 mph (nominal 3-second gust) w/ 0" ice 40 mph (3-second gust) w/ 2" ice SITE DATA: 13085 N. Meridian St., Carmel, IN 46032, Hamilton County Latitude 39° 58' 37.40" N, Longitude 86° 09' 39.22" W Pipe Mounts behind Screen Wall To whom it may concern, GPD is pleased to submit this Structural Analysis Report with Modification Design to determine the structural integrity of the aforementioned structure with the existing and proposed loading configuration detailed in the analysis report. Analysis of the antenna mounting system as a tie-off point for fall protection or rigging is not part of this document. Analysis Results Mount Stress Level with Proposed Equipment: Screen Wall Stress Level with Proposed Equipment: 88.8% 43.7% Pass Pass Note: In order for the analysis results to be valid for the proposed loading in Appendix A the modifications referenced in the design drawings by GPD (Project #: 2022723.16.83210.02, dated: 3/24/2022) must be properly installed. We at GPD appreciate the opportunity of providing our continuing professional services to you and Ericsson. If you have any questions or need further assistance on this or any other projects please do not hesitate to call. Respectfully submitted, Christopher J. Scheks, P.E. Indiana #: PE11400062 3/24/2022 Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 Page 2 of 4 SUMMARY & RESULTS The purpose of this analysis was to verify whether the structure is capable of carrying the proposed loading configuration as specified by AT&T Mobility to Ericsson. This analysis utilizes an ultimate 3-second gust wind speed of 115 mph (converted to an equivalent 89 mph nominal 3- second gust wind speed per Section 1609.3.1 for use with TIA-222 G) as required by the 2014 Indiana Building Code. Applicable Standard references and design criteria are listed in Appendices A & B. Note: In order for the analysis results to be valid for the proposed loading in Appendix A the modifications referenced in the design drawings by GPD (Project #: 2022723.16.83210.02, dated: 3/24/2022) must be properly installed. ANALYSIS SUMMARY AND RESULTS Member Capacity Results Alpha Mounts 39.7% Pass Alpha Screen Wall 31.9% Pass Beta Mounts 88.8% Pass Beta Screen Wall 43.7% Pass Gamma Mounts 39.8% Pass Gamma Screen Wall 31.8% Pass RECOMMENDATIONS We recommend replacing the failing Unistrut members with a structural member, such as an angle. All modifications must be engineered and are beyond the scope of this report. ANALYSIS METHOD RISA-3D Edition (Version 17.0.4), a commercially available analysis software package, was used to create a three- dimensional model of the structure and calculate member stresses for various loading cases. A tool internally developed by GPD, using Microsoft Excel, was used to calculate wind loading on all appurtenances, dishes, and structure members for various load cases. Selected output from the analysis is included in Appendix B. DOCUMENTS PROVIDED Document Remarks Source RF Data Sheet RFDS Name: INU0341 Rev. 30, dated 9/17/2021 Ericsson Scoping Site Walk Notes Site ID: IN0341, dated 10/26/2021 GPD Previous CD DHA Site #: IN0341, Rev. A, dated 2/27/2018 FileNet Modification Design Drawings GPD Project #: 2022723.16.83210.02, dated 3/24/2022 GPD Previous Structural Analysis Apex Engineers File #: NS16-969, dated 7/28/2016 FileNet Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 Page 3 of 4 ASSUMPTIONS This structural analysis is based on the theoretical capacity of the members and is not a condition assessment of the structure. This analysis is from information supplied, and therefore, its results are based on and are as accurate as that supplied data. GPD has made no independent determination, nor is it required to, of its accuracy. The following assumptions were made for this structural analysis. 1. The structure member sizes and shapes are considered accurate as supplied. The material grade is as per data supplied and/or as assumed based on experience with similar structures. 2. The appurtenance configuration is as supplied, determined from available photos, and/or as modeled in the analysis. It is assumed to be complete and accurate. All antennas, mounts, coax and waveguides are assumed to be properly installed and supported as per manufacturer requirements. 3. Some assumptions are made regarding antennas and mount sizes and their projected areas based on best interpretation of data supplied and of best knowledge of antenna type and industry practice. 4. The structure has been properly maintained in accordance with TIA Standards and/or with manufacturer’s specifications. 5. All welds and connections are assumed to develop at least the member capacity unless determined otherwise and explicitly stated in this report. 6. All prior structural modifications, if applicable, are assumed to be as per data supplied/available and to have been properly installed. 7. Loading interpreted from photos is accurate to ±5’ AGL, antenna size accurate to ±3.3 sf, and coax equal to the number of existing antennas without reserve. 8. The existing and proposed loading configurations have been taken from the documents supplied to GPD at the time of generating this report. All such documents are listed in the Documents Provided Table and are assumed to be accurate. GPD is not responsible for loading scenarios outside those conveyed in the supplied documentation. If any of these assumptions are not valid or have been made in error, this analysis may be affected, and GPD should be allowed to review any new information to determine its effect on the structural integrity of the structure. Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 Page 4 of 4 DISCLAIMER OF WARRANTIES GPD has performed a recent site visit to the structure to verify the member sizes and antenna/coax loading. If the existing conditions are not as represented on the structure elevation contained in this report, we should be contacted immediately to evaluate the significance of the discrepancy. This is not a condition assessment of the structure or foundation. This report does not replace a full structural inspection. The structure and foundations are assumed to have been properly fabricated, erected, maintained, in good condition, twist free, and plumb. The engineering services rendered by GPD in connection with this Structural Analysis are limited to a computer analysis of the structure and theoretical capacity of its main structural members. No allowance was made for any damaged, bent, missing, loose, or rusted members (above and below ground). No allowance was made for loose bolts or cracked welds. This analysis is limited to the designated maximum wind and seismic conditions per the governing structural standards and code. Wind forces resulting in structure vibrations near the structure’s resonant frequencies were not considered in this analysis and are outside the scope of this analysis. Lateral loading from any dynamic response was not evaluated under a time-domain based fatigue analysis. GPD does not analyze the fabrication of the structure (including welding). It is not possible to have all the very detailed information needed to perform a thorough analysis of every structural sub-component and connection of an existing structure. GPD provides a limited scope of service in that we cannot verify the adequacy of every weld, plate connection detail, etc. The purpose of this report is to assess the capability of adding appurtenances usually accompanied by transmission lines to the structure. It is the owner’s responsibility to determine the amount of ice accumulation in excess of the code specified amount, if any, that should be considered in the structural analysis. The attached sketches are a schematic representation of the analyzed structure. If any material is fabricated from these sketches, the contractor shall be responsible for field verifying the existing conditions, proper fit, and clearance in the field. Any mentions of structural modifications are reasonable estimates and should not be used as a precise construction document. Precise modification drawings are obtainable from GPD, but are beyond the scope of this report. Miscellaneous items such as antenna mounts, etc., have not been designed or detailed as a part of our work. We recommend that material of adequate size and strength be purchased from a reputable structural manufacturer. Structures are designed to carry gravity, wind, and ice loads. All members, legs, diagonals, struts, and redundant members provide structural stability to the structure with little redundancy. Absence or removal of a member can trigger catastrophic failure unless a substitute is provided before any removal. Legs carry axial loads and derive their strength from shorter unbraced lengths by the presence of redundant members and their connection to the diagonals with bolts or welds. If the bolts or welds are removed without providing any substitute to the frame, the leg is subjected to a higher unbraced length that immediately reduces its load carrying capacity. If a diagonal is also removed in addition to the connection, the unbraced length of the leg is greatly increased, jeopardizing its load carrying capacity. Failure of one leg can result in a structure collapse because there is no redundancy. Redundant members and diagonals are critical to the stability of the structure. GPD makes no warranties, expressed and/or implied, in connection with this report and disclaims any liability arising from material, fabrication, and erection of this structure. GPD will not be responsible whatsoever for, or on account of, consequential or incidental damages sustained by any person, firm, or organization as a result of any data or conclusions contained in this report. The maximum liability of GPD pursuant to this report will be limited to the total fee received for preparation of this report. Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 APPENDIX A Structural Analysis Summary Form Structural Analysis Summary Form General Info Site ID Site Name FA Number Date of Analysis Company Performing Analysis Structure Info Date Design Parameters Analysis Results (% Maximum Usage) Structure Type Structure Height (Top of Penthouse) Building Design Location of Structure (County, State) Screen Wall (%) Mount Design Nominal Wind Speed (mph)* Structure Adequate? Foundation Design Ice Thickness (in) Geotechnical Report Risk Category (I, II, III) Previous CD 2/27/2018 Exposure Category (B, C, D) Modification Design Drawings 3/24/2022 Topographic Category (1 to 5) Previous Structural Analysis Apex Engineers File #: NS16-969 7/28/2016 *Converted from an Ultimate Wind Speed of 115 mph (3-second gust) Existing/Reserved Loading Configuration Antenna Owner Mount Height (ft) Antenna CL (ft) Quantity Type Manufacturer Model Azimuth Quantity Manufacturer AT&T Mobility 87 87 3* Panel Powerwave 7750 87/178/279 3 Unknown Pipe Mounts AT&T Mobility 87 87 3* Panel Andrew SBNHH-1D65B 87/178/279 3 Unknown Pipe Mounts AT&T Mobility 87 87 3 Panel KMW EPBQ-654L8H8-L2 87/178/279 3 Unknown Pipe Mounts AT&T Mobility 87 87 3 Panel Andrew SBJAH4-1D65B-DL 87/178/279 3 Unknown Pipe Mounts AT&T Mobility 87 87 6* TMA Powerwave 17205 on the same mounts AT&T Mobility 87 87 6* Diplexer Ericsson KRF 102 272/1 on the same mounts AT&T Mobility 87 87 3 RRUS Ericsson 4478 B5 on the same mounts AT&T Mobility 87 87 3* RRUS Ericsson RRUS-11 B12 on the same mounts AT&T Mobility 87 87 3 RRUS Ericsson RRUS-32 B66A on the same mounts AT&T Mobility 87 87 3 RRUS Ericsson 4478 B14 on the same mounts AT&T Mobility 87 87 3 RRUS Ericsson RRUS-32 B2 on the same mounts AT&T Mobility 87 87 3 RRUS Ericsson RRUS-32 B30 on the same mounts AT&T Mobility 87 87 2* OVP Raycap DC6-48-60-18-8F on the same mounts *Indicates equipment/feedline quantity to be removed. Proposed Loading Antenna Owner Mount Height (ft) Antenna CL (ft) Quantity Type Manufacturer Model Azimuth Quantity Manufacturer AT&T Mobility 87 87 3 Panel Ericsson AIR6449 B77D 87/178/279 on the existing mounts AT&T Mobility 87 87 3 Panel Ericsson AIR6449 B77G 87/178/279 on the existing mounts AT&T Mobility 87 87 3 Panel Andrew NNH4-65B-R6H4 87/178/279 on the existing mounts AT&T Mobility 87 87 3 Panel RRUS 4478 B12A on the existing mounts AT&T Mobility 87 87 1 OVP Raycap DC6-48-60-08F on the existing mounts AT&T Mobility 87 87 3 OVP Raycap DC2 on the existing mounts AT&T Mobility 87 87 2 OVP Raycap DC9-48-60-24-8C-EV on the existing mounts Note: The proposed equipment shall be installed in addition to the remaining existing/reserved loading at the same elevation. Yes Mount Type Mount 89 (3-second gust) Antenna Type Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 APPENDIX B Alpha Sector Analysis Building Governing Building Code: 2012 IBC Topographic Feature: N/A 66 ft Governing Design Load Code: ASCE7-10 H (Crest Height) = ft 87 ft TIA/EIA Code: G L (Slope Distance) = ft 1.00 Nominal Wind Speed (No Ice) = 89 mph (3-s gust) x (Distance from Crest) = ft II Nominal Wind Speed (w/ Ice) = 40 mph (3-s gust) Base Kzt Override = Yes Ice Thickness = 1.00 in No Exposure Category: C Structure Base Elevation (AMSL) 15 ft Parapet Height = 5 ft Xb (Windward Face Distance) = 10 ft Ws (Windward Face Width) = 140 ft 6 Member Type Length (in) Side (Longest seeing wind) (in) Other Side (in) Calculated Dc, for ice weight (in) Dc, for ice weight (in) Area Type (Round or Flat) Ka User's Wind Multiplier Unshielded Normal Wind Force w/ Ice (lb/ft)* Ice Weight (lb/ft)* Pipe 74 2.375 2.375 6.3 2.38 Round 1.00 1.00 2.40 12.33 Square/Rect. 78 4 4 5.66 Flat 1.00 1.00 3.85 21.16 Square/Rect. 79.4 4 4 5.66 Flat 1.00 1.00 3.86 21.16 Angle 264 4 6 7.21 Flat 1.00 0.00 0.00 25.35 Angle 12 4 4 5.66 Flat 1.00 1.00 4.02 21.16 Angle 256 4 4 5.66 Flat 1.00 1.00 5.30 21.16 *All forces are unfactored. 13 Loading Elevation (ft) Height (in) Front Width (in) Side Depth (in) Wt (lbs) Type for Area Front Shielding (%) Side Shielding (%) Ka and/or block shielding Normal Wind Force (lbs)* Wt (lbs) (no ice)* Normal Wind Force (lbs) (w/ ice)* Wt (lbs) (only ice)* (1) EPBQ-654L8H8-L2 87 96 21 16.3 86 Flat 0% 0% 1.00 428.28 86.00 97.68 647.00 (1) NNH4-65B-R6H4 87 72 19.6 7.8 82 Flat 0% 0% 1.00 290.53 82.00 67.71 368.94 (1) AIR6449 N77D+AIR6419 N77G STACKED 87 58.4 31.6 14.8 147.7 Flat 0% 0% 1.00 364.11 147.70 90.13 522.56 (1) SBJAH4-1D65B-DL 87 72 13.8 8.2 59.1 Flat 0% 0% 1.00 215.77 59.10 51.83 304.34 (1) 4478 B14 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B5 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B12A 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) RRUS-32 B2 87 27.2 12.05 7 52.9 Flat 0% 0% 1.00 64.67 52.90 20.73 117.94 (1) RRUS-32 B66A 87 27.6 12.45 7.41 55.12 Flat 0% 0% 1.00 67.80 55.12 21.50 124.11 (1) RRUS-32 B30 87 26.7 12.1 6.7 30 Flat 0% 0% 1.00 63.74 30.00 20.46 114.69 (1) DC9-48-60-24-8C-EV 87 31.41 10.24 18.28 26.2 Flat 0% 0% 1.00 64.79 26.20 20.91 195.18 (1) DC6-48-60-08F 87 24 11 11 18.9 Round 0% 0% 1.00 52.09 18.90 17.44 124.42 (1) DC2 87 11.64 13.22 6.27 16 Flat 0% 0% 1.00 30.36 16.00 11.27 66.61 *All forces are unfactored. Pipe Mount FRP Post FRP Kicker FRP Horizontal FRP Standoff Apply Wind Speed-Up Factor: Wind Speed-Up Factor No Ice Ice Output TIA-222-G: Mount Analysis Wind Loading ASCE 7-10 Rooftop Structures C&C Wind Pressures IN0341 Hamilton Crossing 2022723.16.83210.02 Code ASCE 7-10 Enclosure Classificaiton Partially Enclosed Table 26.10-1 Gh 0.85 26.9.1 Mean Roof Height 80 ft V (Ultimate) 89 mph Building Width 120 ft Kd 0.85 Table 26.6-1 Building Length 310 ft Exposure Category C BH 9600 sf Zg 900 ft Table 26.9-1 LH 24800 sf α 9.5 Table 26.9-1 BL 37200 sf Kz,min 0.85 Table 30.3-1 Rooftop Structure Screen Wall Kzt 1.00 Screen Wall Height 90 ft Ground Elevation 0.00 ft Screen Wall Height Above Roof 10 ft Tributary Length Ke 1.000 n/a Screen Wall Width 40 ft Tributary Width Screen Wall Wall Area (Af) 400.00 sf Screen Wall Length 95 ft Tributary Width Screen Wall Wall Area (Af) 950.00 sf Loads may be conservative see commentary Screen Wall Flat Roof (Af) 3800.00 sf Section Description h (ft) Kz qh (psf) 0.1Af(BH or LH or BL) (GCr) Ppressure (psf) Screen Wall Width Wall Pressure: 90 1.238 21.336 960 1.900 40.54 Screen Wall Length Wall Pressure: 90 1.238 21.336 2480 1.900 40.54 Screen Wall Flat Roof Pressure: 90 1.238 21.336 3720 1.898 40.49 Wind Loading Information Structure Information ASCE 7-10 Rooftop Structures C&C Wind Pressures 30.11 / 29.5.1 (Rooftop Structure) GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Alpha 3D Rendering SK - 1 Mar 24, 2022 at 11:35 PM 83210 ALPHA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Alpha Member Sizes SK - 2 Mar 24, 2022 at 11:35 PM 83210 ALPHA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Alpha SK - 3 Mar 24, 2022 at 11:36 PM 83210 ALPHA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Alpha Bending Capacity SK - 4 Mar 24, 2022 at 11:36 PM 83210 ALPHA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Alpha Shear Capacity SK - 5 Mar 24, 2022 at 11:36 PM 83210 ALPHA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha (Global) Model Settings Display Sections for Member Calcs Max Internal Sections for Member Calcs Include Shear Deformation? Increase Nailing Capacity for Wind? Include Warping? Trans Load Btwn Intersecting Wood Wall? Area Load Mesh (in^2) Merge Tolerance (in) P-Delta Analysis Tolerance Include P-Delta for Walls? Automatically Iterate Stiffness for Walls? Max Iterations for Wall Stiffness Gravity Acceleration (in/sec^2) Wall Mesh Size (in) Eigensolution Convergence Tol. (1.E-) Vertical Axis Global Member Orientation Plane Static Solver Dynamic Solver 5 97 Yes Yes Yes Yes 144 .12 0.50% Yes Yes 3 386.4 24 4 Y XZ Sparse Accelerated Accelerated Solver Hot Rolled Steel Code Adjust Stiffness? RISAConnection Code Cold Formed Steel Code Wood Code Wood Temperature Concrete Code Masonry Code Aluminum Code Stainless Steel Code AISC 14th(360-10): LRFD No AISC 14th(360-10): LRFD AISI S100-10: LRFD AWC NDS-12: ASD < 100F ACI 318-11 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha (Global) Model Settings, Continued Seismic Code Seismic Base Elevation (in) Add Base Weight? Ct X Ct Z T X (sec) T Z (sec) R X R Z Ct Exp. X Ct Exp. Z SD1 SDS S1 TL (sec) Risk Cat Drift Cat ASCE 7-16 Not Entered Yes .02 .02 Not Entered Not Entered 3 3 .75 .75 1 1 1 5 I or II Other Om Z Om X Cd Z Cd X Rho Z Rho X 1 1 4 4 1 1 Hot Rolled Steel Properties Label E [ksi] G [ksi] Nu Therm (/1E...Density[k/ft... Yield[ksi] Ry Fu[ksi] Rt 1 A992 29000 11154 .3 .65 .49 50 1.1 65 1.1 2 A36 Gr.36 29000 11154 .3 .65 .49 36 1.5 58 1.2 3 A572 Gr.50 29000 11154 .3 .65 .49 50 1.1 65 1.1 4 A500 Gr.B RND 29000 11154 .3 .65 .527 42 1.4 58 1.3 5 A500 Gr.B RECT 29000 11154 .3 .65 .527 46 1.4 58 1.3 6 A500 Gr.C RND 29000 11154 .3 .65 .527 46 1.4 62 1.3 7 A500 Gr.C RECT 29000 11154 .3 .65 .527 50 1.4 62 1.3 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha Member Primary Data (Continued) Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 5 M5 N9 N10 FRP Post Column None FRP Typical 6 M6 N11 N12 FRP Kicker VBrace None FRP Typical 7 M7 N13 N14 FRP Kicker VBrace None FRP Typical 8 M8 N15 N16 FRP Kicker VBrace None FRP Typical 9 M9 N17 N18 FRP Kicker VBrace None FRP Typical 10 M10 N19 N20 FRP Kicker VBrace None FRP Typical 11 M12 N26 N57 90 FRP Horizontal Beam None FRP Typical 12 M13 N30 N61 90 FRP Horizontal Beam None FRP Typical 13 M15 N25 N27 180 FRP Standoff Beam None FRP Typical 14 M16 N26 N28 90 FRP Standoff Beam None FRP Typical 15 M17 N27 N28 RIGID None None RIGID Typical 16 M18 N29 N31 180 FRP Standoff Beam None FRP Typical 17 M19 N30 N32 90 FRP Standoff Beam None FRP Typical 18 M20 N31 N32 RIGID None None RIGID Typical 19 M21 N33 N35 180 FRP Standoff Beam None FRP Typical 20 M22 N34 N36 90 FRP Standoff Beam None FRP Typical 21 M23 N35 N36 RIGID None None RIGID Typical 22 M24 N37 N39 180 FRP Standoff Beam None FRP Typical 23 M25 N38 N40 90 FRP Standoff Beam None FRP Typical 24 M26 N39 N40 RIGID None None RIGID Typical 25 M27 N41 N43 180 FRP Standoff Beam None FRP Typical 26 M28 N42 N44 90 FRP Standoff Beam None FRP Typical 27 M29 N43 N44 RIGID None None RIGID Typical 28 M30 N45 N47 180 FRP Standoff Beam None FRP Typical 29 M31 N46 N48 90 FRP Standoff Beam None FRP Typical 30 M32 N47 N48 RIGID None None RIGID Typical 31 M33 N49 N51 180 FRP Standoff Beam None FRP Typical 32 M34 N50 N52 90 FRP Standoff Beam None FRP Typical 33 M35 N51 N52 RIGID None None RIGID Typical 34 M36 N53 N55 180 FRP Standoff Beam None FRP Typical 35 M37 N54 N56 90 FRP Standoff Beam None FRP Typical 36 M38 N55 N56 RIGID None None RIGID Typical 37 M39 N57 N59 180 FRP Standoff Beam None FRP Typical 38 M40 N58 N60 90 FRP Standoff Beam None FRP Typical 39 M41 N59 N60 RIGID None None RIGID Typical 40 M42 N61 N63 180 FRP Standoff Beam None FRP Typical 41 M43 N62 N64 90 FRP Standoff Beam None FRP Typical 42 M44 N63 N64 RIGID None None RIGID Typical 43 M45 N65 N66 270 New Horizontal Beam None A36 Gr.36 Typical 44 M46 N67 N68 270 New Horizontal Beam None A36 Gr.36 Typical 45 M47 N69 N70 PIpe Mount Column None A53 Gr.B Typical 46 M48 N71 N72 PIpe Mount Column None A53 Gr.B Typical 47 M49 N73 N74 PIpe Mount Column None A53 Gr.B Typical 48 M50 N75 N76 PIpe Mount Column None A53 Gr.B Typical 49 M49A N24 N22 RIGID None None RIGID Typical 50 M50A N22 N21 RIGID None None RIGID Typical 51 M51 N21 N23 RIGID None None RIGID Typical 52 M52 N23 N24 RIGID None None RIGID Typical Member Advanced Data Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 1 M1 Yes ** NA ** Exclude None 2 M2 Yes ** NA ** Exclude None 3 M3 Yes ** NA ** Exclude None 4 M4 Yes ** NA ** Exclude None Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha Member Advanced Data (Continued) Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 5 M5 Yes ** NA ** Exclude None 6 M6 BenPIN Yes ** NA ** Exclude None 7 M7 BenPIN Yes ** NA ** Exclude None 8 M8 BenPIN Yes ** NA ** Exclude None 9 M9 BenPIN Yes ** NA ** Exclude None 10 M10 BenPIN Yes ** NA ** Exclude None 11 M12 Yes Default Exclude None 12 M13 Yes Default Exclude None 13 M15 Yes Default Exclude None 14 M16 Yes Exclude None 15 M17 Yes ** NA ** None 16 M18 Yes Exclude None 17 M19 Yes Exclude None 18 M20 Yes ** NA ** None 19 M21 Yes Exclude None 20 M22 Yes Exclude None 21 M23 Yes ** NA ** None 22 M24 Yes Exclude None 23 M25 Yes Exclude None 24 M26 Yes ** NA ** None 25 M27 Yes Exclude None 26 M28 Yes Exclude None 27 M29 Yes ** NA ** None 28 M30 Yes Exclude None 29 M31 Yes Exclude None 30 M32 Yes ** NA ** None 31 M33 Yes Exclude None 32 M34 Yes Exclude None 33 M35 Yes ** NA ** None 34 M36 Yes Exclude None 35 M37 Yes Exclude None 36 M38 Yes ** NA ** None 37 M39 Yes Exclude None 38 M40 Yes Exclude None 39 M41 Yes ** NA ** None 40 M42 Yes Exclude None 41 M43 Yes Exclude None 42 M44 Yes ** NA ** None 43 M45 Yes None 44 M46 Yes None 45 M47 Yes ** NA ** None 46 M48 Yes ** NA ** None 47 M49 Yes ** NA ** None 48 M50 Yes ** NA ** None 49 M49A Yes ** NA ** None 50 M50A Yes ** NA ** None 51 M51 Yes ** NA ** None 52 M52 Yes ** NA ** None Hot Rolled Steel Design Parameters Label Shape Length[... Lbyy[in] Lbzz[in] Lcomp top...Lcomp bot...L-torq... Kyy Kzz Cb Funct... 1 M1 FRP Post 78 Lbyy 2.1 2.1 Lateral 2 M2 FRP Post 78 Lbyy 2.1 2.1 Lateral 3 M3 FRP Post 78 Lbyy 2.1 2.1 Lateral 4 M4 FRP Post 78 Lbyy 2.1 2.1 Lateral Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha Hot Rolled Steel Design Parameters (Continued) Label Shape Length[... Lbyy[in] Lbzz[in] Lcomp top...Lcomp bot...L-torq... Kyy Kzz Cb Funct... 5 M5 FRP Post 78 Lbyy 2.1 2.1 Lateral 6 M6 FRP Kicker 79.398 Lbyy 1 1 Lateral 7 M7 FRP Kicker 79.398 Lbyy 1 1 Lateral 8 M8 FRP Kicker 79.398 Lbyy 1 1 Lateral 9 M9 FRP Kicker 79.398 Lbyy 1 1 Lateral 10 M10 FRP Kicker 79.398 Lbyy 1 1 Lateral 11 M12 FRP Horizontal 264 Lbyy 1 1 Lateral 12 M13 FRP Horizontal 264 Lbyy 1 1 Lateral 13 M15 FRP Standoff 12 Lbyy 1 1 Lateral 14 M16 FRP Standoff 12 Lbyy 1 1 Lateral 15 M18 FRP Standoff 12 Lbyy 1 1 Lateral 16 M19 FRP Standoff 12 Lbyy 1 1 Lateral 17 M21 FRP Standoff 12 Lbyy 1 1 Lateral 18 M22 FRP Standoff 12 Lbyy 1 1 Lateral 19 M24 FRP Standoff 12 Lbyy 1 1 Lateral 20 M25 FRP Standoff 12 Lbyy 1 1 Lateral 21 M27 FRP Standoff 12 Lbyy 1 1 Lateral 22 M28 FRP Standoff 12 Lbyy 1 1 Lateral 23 M30 FRP Standoff 12 Lbyy 1 1 Lateral 24 M31 FRP Standoff 12 Lbyy 1 1 Lateral 25 M33 FRP Standoff 12 Lbyy 1 1 Lateral 26 M34 FRP Standoff 12 Lbyy 1 1 Lateral 27 M36 FRP Standoff 12 Lbyy 1 1 Lateral 28 M37 FRP Standoff 12 Lbyy 1 1 Lateral 29 M39 FRP Standoff 12 Lbyy 1 1 Lateral 30 M40 FRP Standoff 12 Lbyy 1 1 Lateral 31 M42 FRP Standoff 12 Lbyy 1 1 Lateral 32 M43 FRP Standoff 12 Lbyy 1 1 Lateral 33 M45 New Horizontal 256 64 64 64 64 64 .65 .65 Lateral 34 M46 New Horizontal 256 64 64 64 64 64 .65 .65 Lateral 35 M47 PIpe Mount 74 Lbyy 1 1 Lateral 36 M48 PIpe Mount 74 Lbyy 1 1 Lateral 37 M49 PIpe Mount 74 Lbyy 1 1 Lateral 38 M50 PIpe Mount 74 Lbyy 1 1 Lateral Basic Load Cases BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 1 Dead DL -1 8 2 No Ice Wind 0 deg None 8 16 1 3 No Ice Wind 30 deg None 16 72 4 No Ice Wind 60 deg None 16 72 5 No Ice Wind 90 deg None 8 34 6 No Ice Wind 120 deg None 16 72 7 No Ice Wind 150 deg None 16 72 8 No Ice Wind 180 deg None 8 16 1 9 No Ice Wind 210 deg None 16 72 10 No Ice Wind 240 deg None 16 72 11 No Ice Wind 270 deg None 8 34 12 No Ice Wind 300 deg None 16 72 13 No Ice Wind 330 deg None 16 72 14 Ice Weight None 8 38 15 Ice Wind 0 deg None 8 16 16 Ice Wind 30 deg None 16 72 17 Ice Wind 60 deg None 16 72 18 Ice Wind 90 deg None 8 34 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha Basic Load Cases (Continued) BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 19 Ice Wind 120 deg None 16 72 20 Ice Wind 150 deg None 16 72 21 Ice Wind 180 deg None 8 16 22 Ice Wind 210 deg None 16 72 23 Ice Wind 240 deg None 16 72 24 Ice Wind 270 deg None 8 34 25 Ice Wind 300 deg None 16 72 26 Ice Wind 330 deg None 16 72 Load Combinations Description S... P... S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 1 1.4 Dead Yes Y 1 1.4 0 0 0 0 0 0 0 2 1.2 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 1.2 2 1.6 0 0 0 0 0 0 3 0.9 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 .9 2 1.6 0 0 0 0 0 0 4 1.2 Dead + 1.6 Wind @ 30° - No...Yes Y 1 1.2 3 1.6 0 0 0 0 0 0 5 0.9 Dead + 1.6 Wind @ 30° - No...Yes Y 1 .9 3 1.6 0 0 0 0 0 0 6 1.2 Dead + 1.6 Wind @ 60° - No...Yes Y 1 1.2 4 1.6 0 0 0 0 0 0 7 0.9 Dead + 1.6 Wind @ 60° - No...Yes Y 1 .9 4 1.6 0 0 0 0 0 0 8 1.2 Dead + 1.6 Wind @ 90° - No...Yes Y 1 1.2 5 1.6 0 0 0 0 0 0 9 0.9 Dead + 1.6 Wind @ 90° - No...Yes Y 1 .9 5 1.6 0 0 0 0 0 0 10 1.2 Dead + 1.6 Wind @ 120° - N...Yes Y 1 1.2 6 1.6 0 0 0 0 0 0 11 0.9 Dead + 1.6 Wind @ 120° - N...Yes Y 1 .9 6 1.6 0 0 0 0 0 0 12 1.2 Dead + 1.6 Wind @ 150° - N...Yes Y 1 1.2 7 1.6 0 0 0 0 0 0 13 0.9 Dead + 1.6 Wind @ 150° - N...Yes Y 1 .9 7 1.6 0 0 0 0 0 0 14 1.2 Dead + 1.6 Wind @ 180° - N...Yes Y 1 1.2 8 1.6 0 0 0 0 0 0 15 0.9 Dead + 1.6 Wind @ 180° - N...Yes Y 1 .9 8 1.6 0 0 0 0 0 0 16 1.2 Dead + 1.6 Wind @ 210° - N...Yes Y 1 1.2 9 1.6 0 0 0 0 0 0 17 0.9 Dead + 1.6 Wind @ 210° - N...Yes Y 1 .9 9 1.6 0 0 0 0 0 0 18 1.2 Dead + 1.6 Wind @ 240° - N...Yes Y 1 1.2 10 1.6 0 0 0 0 0 0 19 0.9 Dead + 1.6 Wind @ 240° - N...Yes Y 1 .9 10 1.6 0 0 0 0 0 0 20 1.2 Dead + 1.6 Wind @ 270° - N...Yes Y 1 1.2 11 1.6 0 0 0 0 0 0 21 0.9 Dead + 1.6 Wind @ 270° - N...Yes Y 1 .9 11 1.6 0 0 0 0 0 0 22 1.2 Dead + 1.6 Wind @ 300° - N...Yes Y 1 1.2 12 1.6 0 0 0 0 0 0 23 0.9 Dead + 1.6 Wind @ 300° - N...Yes Y 1 .9 12 1.6 0 0 0 0 0 0 24 1.2 Dead + 1.6 Wind @ 330° - N...Yes Y 1 1.2 13 1.6 0 0 0 0 0 0 25 0.9 Dead + 1.6 Wind @ 330° - N...Yes Y 1 .9 13 1.6 0 0 0 0 0 0 26 1.2 Dead + 1.0 Ice Wind @ 0°+ ...Yes Y 1 1.2 15 1 14 1 1 0 0 0 0 27 1.2 Dead + 1.0 Ice Wind @ 30°+...Yes Y 1 1.2 16 1 14 1 1 0 0 0 0 28 1.2 Dead + 1.0 Ice Wind @ 60°+...Yes Y 1 1.2 17 1 14 1 1 0 0 0 0 29 1.2 Dead + 1.0 Ice Wind @ 90°+...Yes Y 1 1.2 18 1 14 1 1 0 0 0 0 30 1.2 Dead + 1.0 Ice Wind @ 120°...Yes Y 1 1.2 19 1 14 1 1 0 0 0 0 31 1.2 Dead + 1.0 Ice Wind @ 150°...Yes Y 1 1.2 20 1 14 1 1 0 0 0 0 32 1.2 Dead + 1.0 Ice Wind @ 180°...Yes Y 1 1.2 21 1 14 1 1 0 0 0 0 33 1.2 Dead + 1.0 Ice Wind @ 210°...Yes Y 1 1.2 22 1 14 1 1 0 0 0 0 34 1.2 Dead + 1.0 Ice Wind @ 240°...Yes Y 1 1.2 23 1 14 1 1 0 0 0 0 35 1.2 Dead + 1.0 Ice Wind @ 270°...Yes Y 1 1.2 24 1 14 1 1 0 0 0 0 36 1.2 Dead + 1.0 Ice Wind @ 300°...Yes Y 1 1.2 25 1 14 1 1 0 0 0 0 37 1.2 Dead + 1.0 Ice Wind @ 330°...Yes Y 1 1.2 26 1 14 1 1 0 0 0 0 Envelope Joint Reactions Joint X [lb] LC Y [lb] LC Z [lb] LC MX [lb-ft] LC MY [lb-ft] LC MZ [lb-ft] LC 1 N14 max 1163.887 14 947.154 3 77.279 20 0 37 0 37 0 37 2 min -1137.433 3 -957.872 14 -77.315 8 0 1 0 1 0 1 3 N12 max 3891.247 14 3258.993 3 77.328 20 0 37 0 37 0 37 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 6 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:37 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Alpha Envelope Joint Reactions (Continued) Joint X [lb] LC Y [lb] LC Z [lb] LC MX [lb-ft] LC MY [lb-ft] LC MZ [lb-ft] LC 4 min -3800.315 3 -3317.202 14 -77.331 8 0 1 0 1 0 1 5 N1 max 1044.179 15 3676.283 14 502.869 19 0 37 0 37 0 37 6 min -1151.13 2 -2808.696 3 -1167.218 28 0 1 0 1 0 1 7 N3 max 485.668 15 5304.788 32 922.519 20 0 37 0 37 0 37 8 min -493.844 2 -662.556 3 -847.101 9 0 1 0 1 0 1 9 N5 max 154.043 13 4036.341 32 797.094 20 0 37 0 37 0 37 10 min -222.762 26 -299.311 3 -766.174 9 0 1 0 1 0 1 11 N16 max 820.013 14 658.259 3 77.291 20 0 37 0 37 0 37 12 min -804.314 3 -660.088 14 -77.291 8 0 1 0 1 0 1 13 N18 max 1080.957 14 873.804 3 77.317 20 0 37 0 37 0 37 14 min -1052.85 3 -886.063 14 -77.28 8 0 1 0 1 0 1 15 N20 max 3807.944 14 3188.626 3 77.331 20 0 37 0 37 0 37 16 min -3719.342 3 -3245.226 14 -77.329 8 0 1 0 1 0 1 17 N9 max 949.956 15 3549.001 14 864.904 35 0 37 0 37 0 37 18 min -1054.552 2 -2738.815 3 -450.475 9 0 1 0 1 0 1 19 N7 max 344.541 15 4256.223 32 797.962 21 0 37 0 37 0 37 20 min -354.299 2 -713.297 3 -864.831 8 0 1 0 1 0 1 21 Totals: max 13644.213 15 19257.926 32 3971.534 20 22 min -13644.214 2 1704.162 3 -3971.534 8 Envelope AISC 14th(360-10): LRFD Steel Code Checks Member Shape Code Check Loc...... Shear C... Loc[in] ... LC phi*P... phi*P... phi*M...phi*M...... Eqn 1 M45 L4X4X6 .397 64 35 .070 64 y 14 79746...92664 4398....9316.... 1 H2-1 2 M46 L4X4X6 .272 32 26 .092 64 y 14 79746...92664 4398....9316.... 1 H2-1 3 M50 PIPE_2.0 .204 0 20 .068 0 4 20365...32130 1871....1871....... H1-1b 4 M49 PIPE_2.0 .138 0 8 .046 74 14 20365...32130 1871....1871....... H1-1b 5 M47 PIPE_2.0 .137 0 8 .046 0 24 20365...32130 1871....1871....... H1-1b 6 M48 PIPE_2.0 .119 0 20 .037 0 24 20365...32130 1871....1871....... H1-1b RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 7 FRP Member Checks IN0341 Hamilton Crossing - Alpha Maximum Capacity 105% Factor of Safety 2.5 Section Set Shape Material Fa [psi] Fb [psi] Fv [psi] Ft [psi] fa [psi] fb [psi] fv [psi] fvt [psi] F.S.*(fa/Fa + fb/Fb) F.S.*(fv/Fv + fvt/Ft) FRP Post HSS4X4X4 FRP 30,000 30,000 4,500 11,000 313.33 1,366.69 302.94 2.24 14.0% 16.9% OK FRP Horizontal L6X4X8 FRP 30000 30000 4500 11000 0.78 1312.91 59.78 374.80 10.9% 13.2% OK FRP Standoff L4X4X6 FRP 30000 30000 4500 11000 261.59 3565.91 129.50 25.51 31.9% 9.2% OK FRP Kicker HSS4X4X4 FRP 30000 30000 4500 11000 584.88 84.11 8.68 0.00 5.6% 0.5% OK Member Member Strengths Member Stresses Member Stresses 2022723.16.83210.02 Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 APPENDIX C Beta Sector Analysis Building Governing Building Code: 2012 IBC Topographic Feature: N/A 66 ft Governing Design Load Code: ASCE7-10 H (Crest Height) = ft 87 ft TIA/EIA Code: G L (Slope Distance) = ft 1.00 Nominal Wind Speed (No Ice) = 89 mph (3-s gust) x (Distance from Crest) = ft II Nominal Wind Speed (w/ Ice) = 40 mph (3-s gust) Base Kzt Override = Yes Ice Thickness = 1.00 in No Exposure Category: C Structure Base Elevation (AMSL) 15 ft Parapet Height = 5 ft Xb (Windward Face Distance) = 10 ft Ws (Windward Face Width) = 140 ft 6 Member Type Length (in) Side (Longest seeing wind) (in) Other Side (in) Calculated Dc, for ice weight (in) Dc, for ice weight (in) Area Type (Round or Flat) Ka User's Wind Multiplier Unshielded Normal Wind Force w/ Ice (lb/ft)* Ice Weight (lb/ft)* Pipe 74 2.375 2.375 6.3 2.38 Round 1.00 1.00 2.40 12.33 Square/Rect. 78 4 4 5.66 Flat 1.00 1.00 3.85 21.16 Square/Rect. 79.4 4 4 5.66 Flat 1.00 1.00 3.86 21.16 Angle 264 4 6 7.21 Flat 1.00 0.00 0.00 25.35 Angle 12 4 4 5.66 Flat 1.00 1.00 4.02 21.16 Angle 256 4 4 5.66 Flat 1.00 1.00 5.30 21.16 *All forces are unfactored. 13 Loading Elevation (ft) Height (in) Front Width (in) Side Depth (in) Wt (lbs) Type for Area Front Shielding (%) Side Shielding (%) Ka and/or block shielding Normal Wind Force (lbs)* Wt (lbs) (no ice)* Normal Wind Force (lbs) (w/ ice)* Wt (lbs) (only ice)* (1) EPBQ-654L8H8-L2 87 96 21 16.3 86 Flat 0% 0% 1.00 428.28 86.00 97.68 647.00 (1) NNH4-65B-R6H4 87 72 19.6 7.8 82 Flat 0% 0% 1.00 290.53 82.00 67.71 368.94 (1) AIR6449 N77D+AIR6419 N77G STACKED 87 58.4 31.6 14.8 147.7 Flat 0% 0% 1.00 364.11 147.70 90.13 522.56 (1) SBJAH4-1D65B-DL 87 72 13.8 8.2 59.1 Flat 0% 0% 1.00 215.77 59.10 51.83 304.34 (1) 4478 B14 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B5 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B12A 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) RRUS-32 B2 87 27.2 12.05 7 52.9 Flat 0% 0% 1.00 64.67 52.90 20.73 117.94 (1) RRUS-32 B66A 87 27.6 12.45 7.41 55.12 Flat 0% 0% 1.00 67.80 55.12 21.50 124.11 (1) RRUS-32 B30 87 26.7 12.1 6.7 30 Flat 0% 0% 1.00 63.74 30.00 20.46 114.69 (1) DC9-48-60-24-8C-EV 87 31.41 10.24 18.28 26.2 Flat 0% 0% 1.00 64.79 26.20 20.91 195.18 (1) DC6-48-60-08F 87 24 11 11 18.9 Round 0% 0% 1.00 52.09 18.90 17.44 124.42 (1) DC2 87 11.64 13.22 6.27 16 Flat 0% 0% 1.00 30.36 16.00 11.27 66.61 *All forces are unfactored. Pipe Mount FRP Post FRP Kicker FRP Horizontal FRP Standoff Apply Wind Speed-Up Factor: Wind Speed-Up Factor No Ice Ice Output TIA-222-G: Mount Analysis Wind Loading ASCE 7-10 Rooftop Structures C&C Wind Pressures IN0341 Hamilton Crossing 2022723.16.83210.02 Code ASCE 7-10 Enclosure Classificaiton Partially Enclosed Table 26.10-1 Gh 0.85 26.9.1 Mean Roof Height 80 ft V (Ultimate) 89 mph Building Width 120 ft Kd 0.85 Table 26.6-1 Building Length 310 ft Exposure Category C BH 9600 sf Zg 900 ft Table 26.9-1 LH 24800 sf α 9.5 Table 26.9-1 BL 37200 sf Kz,min 0.85 Table 30.3-1 Rooftop Structure Screen Wall Kzt 1.00 Screen Wall Height 90 ft Ground Elevation 0.00 ft Screen Wall Height Above Roof 10 ft Tributary Length Ke 1.000 n/a Screen Wall Width 40 ft Tributary Width Screen Wall Wall Area (Af) 400.00 sf Screen Wall Length 95 ft Tributary Width Screen Wall Wall Area (Af) 950.00 sf Loads may be conservative see commentary Screen Wall Flat Roof (Af) 3800.00 sf Section Description h (ft) Kz qh (psf) 0.1Af(BH or LH or BL) (GCr) Ppressure (psf) Screen Wall Width Wall Pressure: 90 1.238 21.336 960 1.900 40.54 Screen Wall Length Wall Pressure: 90 1.238 21.336 2480 1.900 40.54 Screen Wall Flat Roof Pressure: 90 1.238 21.336 3720 1.898 40.49 Wind Loading Information Structure Information ASCE 7-10 Rooftop Structures C&C Wind Pressures 30.11 / 29.5.1 (Rooftop Structure) GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Beta 3D Rendering SK - 1 Mar 24, 2022 at 11:42 PM 83210 BETA.Loaded.r3d N3 N4 N5 N6 N7 N8 N9 N10 N13 N15 N17 N19 N21 N22 N23 N24 N26 N30 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N66 N68 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Beta Member Sizes SK - 2 Mar 24, 2022 at 11:43 PM 83210 BETA.Loaded.r3d N3 N4 N5 N6 N7 N8 N9 N10 N13 N15 N17 N19 N21 N22 N23 N24 N26 N30 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N66 N68 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Beta SK - 3 Mar 24, 2022 at 11:43 PM 83210 BETA.Loaded.r3d N3 N4 N5 N6 N7 N8 N9 N10 N13 N15 N17 N19 N21 N22 N23 N24 N26 N30 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N66 N68 N71 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Beta Bending Capacity SK - 4 Mar 24, 2022 at 11:44 PM 83210 BETA.Loaded.r3d N3 N4 N5 N6 N7 N8 N9 N10 N13 N15 N17 N19 N21 N22 N23 N24 N26 N30 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N66 N68 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Beta Shear Capacity SK - 5 Mar 24, 2022 at 11:44 PM 83210 BETA.Loaded.r3d N3 N4 N5 N6 N7 N8 N9 N10 N13 N15 N17 N19 N21 N22 N23 N24 N26 N30 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N66 N68 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta (Global) Model Settings Display Sections for Member Calcs Max Internal Sections for Member Calcs Include Shear Deformation? Increase Nailing Capacity for Wind? Include Warping? Trans Load Btwn Intersecting Wood Wall? Area Load Mesh (in^2) Merge Tolerance (in) P-Delta Analysis Tolerance Include P-Delta for Walls? Automatically Iterate Stiffness for Walls? Max Iterations for Wall Stiffness Gravity Acceleration (in/sec^2) Wall Mesh Size (in) Eigensolution Convergence Tol. (1.E-) Vertical Axis Global Member Orientation Plane Static Solver Dynamic Solver 5 97 Yes Yes Yes Yes 144 .12 0.50% Yes Yes 3 386.4 24 4 Y XZ Sparse Accelerated Accelerated Solver Hot Rolled Steel Code Adjust Stiffness? RISAConnection Code Cold Formed Steel Code Wood Code Wood Temperature Concrete Code Masonry Code Aluminum Code Stainless Steel Code AISC 14th(360-10): LRFD No AISC 14th(360-10): LRFD AISI S100-10: LRFD AWC NDS-12: ASD < 100F ACI 318-11 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta (Global) Model Settings, Continued Seismic Code Seismic Base Elevation (in) Add Base Weight? Ct X Ct Z T X (sec) T Z (sec) R X R Z Ct Exp. X Ct Exp. Z SD1 SDS S1 TL (sec) Risk Cat Drift Cat ASCE 7-16 Not Entered Yes .02 .02 Not Entered Not Entered 3 3 .75 .75 1 1 1 5 I or II Other Om Z Om X Cd Z Cd X Rho Z Rho X 1 1 4 4 1 1 Hot Rolled Steel Properties Label E [ksi] G [ksi] Nu Therm (/1E...Density[k/ft... Yield[ksi] Ry Fu[ksi] Rt 1 A992 29000 11154 .3 .65 .49 50 1.1 65 1.1 2 A36 Gr.36 29000 11154 .3 .65 .49 36 1.5 58 1.2 3 A572 Gr.50 29000 11154 .3 .65 .49 50 1.1 65 1.1 4 A500 Gr.B RND 29000 11154 .3 .65 .527 42 1.4 58 1.3 5 A500 Gr.B RECT 29000 11154 .3 .65 .527 46 1.4 58 1.3 6 A500 Gr.C RND 29000 11154 .3 .65 .527 46 1.4 62 1.3 7 A500 Gr.C RECT 29000 11154 .3 .65 .527 50 1.4 62 1.3 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta Member Primary Data (Continued) Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 5 M12 N26 N57 90 FRP Horizontal Beam None FRP Typical 6 M13 N30 N61 90 FRP Horizontal Beam None FRP Typical 7 M21 N33 N35 180 FRP Standoff Beam None FRP Typical 8 M22 N34 N36 90 FRP Standoff Beam None FRP Typical 9 M23 N35 N36 RIGID None None RIGID Typical 10 M24 N37 N39 180 FRP Standoff Beam None FRP Typical 11 M25 N38 N40 90 FRP Standoff Beam None FRP Typical 12 M26 N39 N40 RIGID None None RIGID Typical 13 M27 N41 N43 180 FRP Standoff Beam None FRP Typical 14 M28 N42 N44 90 FRP Standoff Beam None FRP Typical 15 M29 N43 N44 RIGID None None RIGID Typical 16 M30 N45 N47 180 FRP Standoff Beam None FRP Typical 17 M31 N46 N48 90 FRP Standoff Beam None FRP Typical 18 M32 N47 N48 RIGID None None RIGID Typical 19 M33 N49 N51 180 FRP Standoff Beam None FRP Typical 20 M34 N50 N52 90 FRP Standoff Beam None FRP Typical 21 M35 N51 N52 RIGID None None RIGID Typical 22 M36 N53 N55 180 FRP Standoff Beam None FRP Typical 23 M37 N54 N56 90 FRP Standoff Beam None FRP Typical 24 M38 N55 N56 RIGID None None RIGID Typical 25 M39 N57 N59 180 FRP Standoff Beam None FRP Typical 26 M40 N58 N60 90 FRP Standoff Beam None FRP Typical 27 M41 N59 N60 RIGID None None RIGID Typical 28 M42 N61 N63 180 FRP Standoff Beam None FRP Typical 29 M43 N62 N64 90 FRP Standoff Beam None FRP Typical 30 M44 N63 N64 RIGID None None RIGID Typical 31 M45 N75 N71 270 New Horizontal Beam None A36 Gr.36 Typical 32 M46 N76 N72 270 New Horizontal Beam None A36 Gr.36 Typical 33 M48 N71 N72 PIpe Mount Column None A53 Gr.B Typical 34 M49 N73 N74 PIpe Mount Column None A53 Gr.B Typical 35 M50 N75 N76 PIpe Mount Column None A53 Gr.B Typical 36 M49A N24 N22 RIGID None None RIGID Typical 37 M50A N22 N21 RIGID None None RIGID Typical 38 M51 N21 N23 RIGID None None RIGID Typical 39 M52 N23 N24 RIGID None None RIGID Typical 40 M40A N73A N74A PIpe Mount Column None A53 Gr.B Typical Member Advanced Data Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 1 M2 Yes ** NA ** Exclude None 2 M3 Yes ** NA ** Exclude None 3 M4 Yes ** NA ** Exclude None 4 M5 Yes ** NA ** Exclude None 5 M12 Yes Default Exclude None 6 M13 Yes Default Exclude None 7 M21 Yes Exclude None 8 M22 Yes Exclude None 9 M23 Yes ** NA ** None 10 M24 Yes Exclude None 11 M25 Yes Exclude None 12 M26 Yes ** NA ** None 13 M27 Yes Exclude None 14 M28 Yes Exclude None 15 M29 Yes ** NA ** None 16 M30 Yes Exclude None Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta Member Advanced Data (Continued) Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 17 M31 Yes Exclude None 18 M32 Yes ** NA ** None 19 M33 Yes Exclude None 20 M34 Yes Exclude None 21 M35 Yes ** NA ** None 22 M36 Yes Exclude None 23 M37 Yes Exclude None 24 M38 Yes ** NA ** None 25 M39 Yes Exclude None 26 M40 Yes Exclude None 27 M41 Yes ** NA ** None 28 M42 Yes Exclude None 29 M43 Yes Exclude None 30 M44 Yes ** NA ** None 31 M45 Yes None 32 M46 Yes None 33 M48 Yes ** NA ** None 34 M49 Yes ** NA ** None 35 M50 Yes ** NA ** None 36 M49A Yes ** NA ** None 37 M50A Yes ** NA ** None 38 M51 Yes ** NA ** None 39 M52 Yes ** NA ** None 40 M40A Yes ** NA ** None Hot Rolled Steel Design Parameters Label Shape Length[... Lbyy[in] Lbzz[in] Lcomp top...Lcomp bot...L-torq... Kyy Kzz Cb Funct... 1 M2 FRP Post 78 Lbyy 2.1 2.1 Lateral 2 M3 FRP Post 78 Lbyy 2.1 2.1 Lateral 3 M4 FRP Post 78 Lbyy 2.1 2.1 Lateral 4 M5 FRP Post 78 Lbyy 2.1 2.1 Lateral 5 M12 FRP Horizontal 264 64 64 64 64 64 .65 .65 Lateral 6 M13 FRP Horizontal 264 Lbyy .65 .65 Lateral 7 M21 FRP Standoff 12 Lbyy 1 1 Lateral 8 M22 FRP Standoff 12 Lbyy 1 1 Lateral 9 M24 FRP Standoff 12 Lbyy 1 1 Lateral 10 M25 FRP Standoff 12 Lbyy 1 1 Lateral 11 M27 FRP Standoff 12 Lbyy 1 1 Lateral 12 M28 FRP Standoff 12 Lbyy 1 1 Lateral 13 M30 FRP Standoff 12 Lbyy 1 1 Lateral 14 M31 FRP Standoff 12 Lbyy 1 1 Lateral 15 M33 FRP Standoff 12 Lbyy 1 1 Lateral 16 M34 FRP Standoff 12 Lbyy 1 1 Lateral 17 M36 FRP Standoff 12 Lbyy 1 1 Lateral 18 M37 FRP Standoff 12 Lbyy 1 1 Lateral 19 M39 FRP Standoff 12 Lbyy 1 1 Lateral 20 M40 FRP Standoff 12 Lbyy 1 1 Lateral 21 M42 FRP Standoff 12 Lbyy 1 1 Lateral 22 M43 FRP Standoff 12 Lbyy 1 1 Lateral 23 M45 New Horizontal 128 64 64 64 64 64 .65 .65 Lateral 24 M46 New Horizontal 128 64 64 64 64 64 .65 .65 Lateral 25 M48 PIpe Mount 74 Lbyy 1 1 Lateral 26 M49 PIpe Mount 74 Lbyy 1 1 Lateral 27 M50 PIpe Mount 74 Lbyy 1 1 Lateral 28 M40A PIpe Mount 74 Lbyy 1 1 Lateral Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta Basic Load Cases BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 1 Dead DL -1 8 2 No Ice Wind 0 deg None 8 10 1 3 No Ice Wind 30 deg None 16 52 4 No Ice Wind 60 deg None 16 52 5 No Ice Wind 90 deg None 8 24 6 No Ice Wind 120 deg None 16 52 7 No Ice Wind 150 deg None 16 52 8 No Ice Wind 180 deg None 8 10 1 9 No Ice Wind 210 deg None 16 52 10 No Ice Wind 240 deg None 16 52 11 No Ice Wind 270 deg None 8 24 12 No Ice Wind 300 deg None 16 52 13 No Ice Wind 330 deg None 16 52 14 Ice Weight None 8 28 15 Ice Wind 0 deg None 8 10 16 Ice Wind 30 deg None 16 52 17 Ice Wind 60 deg None 16 52 18 Ice Wind 90 deg None 8 24 19 Ice Wind 120 deg None 16 52 20 Ice Wind 150 deg None 16 52 21 Ice Wind 180 deg None 8 10 22 Ice Wind 210 deg None 16 52 23 Ice Wind 240 deg None 16 52 24 Ice Wind 270 deg None 8 24 25 Ice Wind 300 deg None 16 52 26 Ice Wind 330 deg None 16 52 Load Combinations Description S... P... S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 1 1.4 Dead Yes Y 1 1.4 0 0 0 0 0 0 0 2 1.2 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 1.2 2 1.6 0 0 0 0 0 0 3 0.9 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 .9 2 1.6 0 0 0 0 0 0 4 1.2 Dead + 1.6 Wind @ 30° - No...Yes Y 1 1.2 3 1.6 0 0 0 0 0 0 5 0.9 Dead + 1.6 Wind @ 30° - No...Yes Y 1 .9 3 1.6 0 0 0 0 0 0 6 1.2 Dead + 1.6 Wind @ 60° - No...Yes Y 1 1.2 4 1.6 0 0 0 0 0 0 7 0.9 Dead + 1.6 Wind @ 60° - No...Yes Y 1 .9 4 1.6 0 0 0 0 0 0 8 1.2 Dead + 1.6 Wind @ 90° - No...Yes Y 1 1.2 5 1.6 0 0 0 0 0 0 9 0.9 Dead + 1.6 Wind @ 90° - No...Yes Y 1 .9 5 1.6 0 0 0 0 0 0 10 1.2 Dead + 1.6 Wind @ 120° - N...Yes Y 1 1.2 6 1.6 0 0 0 0 0 0 11 0.9 Dead + 1.6 Wind @ 120° - N...Yes Y 1 .9 6 1.6 0 0 0 0 0 0 12 1.2 Dead + 1.6 Wind @ 150° - N...Yes Y 1 1.2 7 1.6 0 0 0 0 0 0 13 0.9 Dead + 1.6 Wind @ 150° - N...Yes Y 1 .9 7 1.6 0 0 0 0 0 0 14 1.2 Dead + 1.6 Wind @ 180° - N...Yes Y 1 1.2 8 1.6 0 0 0 0 0 0 15 0.9 Dead + 1.6 Wind @ 180° - N...Yes Y 1 .9 8 1.6 0 0 0 0 0 0 16 1.2 Dead + 1.6 Wind @ 210° - N...Yes Y 1 1.2 9 1.6 0 0 0 0 0 0 17 0.9 Dead + 1.6 Wind @ 210° - N...Yes Y 1 .9 9 1.6 0 0 0 0 0 0 18 1.2 Dead + 1.6 Wind @ 240° - N...Yes Y 1 1.2 10 1.6 0 0 0 0 0 0 19 0.9 Dead + 1.6 Wind @ 240° - N...Yes Y 1 .9 10 1.6 0 0 0 0 0 0 20 1.2 Dead + 1.6 Wind @ 270° - N...Yes Y 1 1.2 11 1.6 0 0 0 0 0 0 21 0.9 Dead + 1.6 Wind @ 270° - N...Yes Y 1 .9 11 1.6 0 0 0 0 0 0 22 1.2 Dead + 1.6 Wind @ 300° - N...Yes Y 1 1.2 12 1.6 0 0 0 0 0 0 23 0.9 Dead + 1.6 Wind @ 300° - N...Yes Y 1 .9 12 1.6 0 0 0 0 0 0 24 1.2 Dead + 1.6 Wind @ 330° - N...Yes Y 1 1.2 13 1.6 0 0 0 0 0 0 25 0.9 Dead + 1.6 Wind @ 330° - N...Yes Y 1 .9 13 1.6 0 0 0 0 0 0 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 5 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:44 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Beta Load Combinations (Continued) Description S... P... S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 26 1.2 Dead + 1.0 Ice Wind @ 0°+ ...Yes Y 1 1.2 15 1 14 1 1 0 0 0 0 27 1.2 Dead + 1.0 Ice Wind @ 30°+...Yes Y 1 1.2 16 1 14 1 1 0 0 0 0 28 1.2 Dead + 1.0 Ice Wind @ 60°+...Yes Y 1 1.2 17 1 14 1 1 0 0 0 0 29 1.2 Dead + 1.0 Ice Wind @ 90°+...Yes Y 1 1.2 18 1 14 1 1 0 0 0 0 30 1.2 Dead + 1.0 Ice Wind @ 120°...Yes Y 1 1.2 19 1 14 1 1 0 0 0 0 31 1.2 Dead + 1.0 Ice Wind @ 150°...Yes Y 1 1.2 20 1 14 1 1 0 0 0 0 32 1.2 Dead + 1.0 Ice Wind @ 180°...Yes Y 1 1.2 21 1 14 1 1 0 0 0 0 33 1.2 Dead + 1.0 Ice Wind @ 210°...Yes Y 1 1.2 22 1 14 1 1 0 0 0 0 34 1.2 Dead + 1.0 Ice Wind @ 240°...Yes Y 1 1.2 23 1 14 1 1 0 0 0 0 35 1.2 Dead + 1.0 Ice Wind @ 270°...Yes Y 1 1.2 24 1 14 1 1 0 0 0 0 36 1.2 Dead + 1.0 Ice Wind @ 300°...Yes Y 1 1.2 25 1 14 1 1 0 0 0 0 37 1.2 Dead + 1.0 Ice Wind @ 330°...Yes Y 1 1.2 26 1 14 1 1 0 0 0 0 Envelope Joint Reactions Joint X [lb] LC Y [lb] LC Z [lb] LC MX [lb-ft] LC MY [lb-ft] LC MZ [lb-ft] LC 1 N3 max 1013.725 15 7337.849 27 1742.213 36 0 37 0 37 1318.51 3 2 min -1015.577 3 -22.072 17 -486.736 11 0 1 0 1 -1333.486 14 3 N5 max 962.461 15 5223.006 34 477.829 19 0 37 0 37 1821.537 3 4 min -971.412 2 222.584 7 -1323.406 28 0 1 0 1 -1853.56 14 5 N9 max 4999.122 14 1310.218 2 259.033 14 0 37 0 37 3756.345 3 6 min -4989.397 3 -1269.956 15 -256.116 3 0 1 0 1 -3738.446 14 7 N7 max 403.169 15 1250.186 27 124.233 14 0 37 0 37 1192.071 3 8 min -408.164 2 .253 3 -124.476 2 0 1 0 1 -1213.159 14 9 N26 max 6127.31 14 1306.969 14 8446.53 14 0 37 0 37 0 37 10 min -6114.36 3 -844.422 3 -6161.356 3 0 1 0 1 0 1 11 N30 max 740.059 2 985.522 14 6581.315 3 0 37 0 37 0 37 12 min -741.531 14 -532.308 3 -8924.759 14 0 1 0 1 0 1 13 Totals: max 12758.125 15 15660.729 34 2972.718 20 14 min -12758.127 2 1453.949 7 -2972.717 9 Envelope AISC 14th(360-10): LRFD Steel Code Checks Member Shape Code Check Loc...... Shear C... Loc[in] ... LC phi*P... phi*P... phi*M...phi*M...... Eqn 1 M45 L4X4X6 .888 32 26 .189 96 y 14 79746...92664 4398....9316.... 1 H2-1 2 M46 L4X4X6 .651 32 26 .132 96 z 14 79746...92664 4398....9316.... 1 H2-1 3 M50 PIPE_2.0 .636 0 35 .108 74 14 20365...32130 1871....1871....... H1-1b 4 M48 PIPE_2.0 .339 0 27 .085 0 14 20365...32130 1871....1871....... H1-1b 5 M40A PIPE_2.0 .152 0 4 .097 74 14 20365...32130 1871....1871....... H1-1b 6 M49 PIPE_2.0 .141 0 6 .102 0 14 20365...32130 1871....1871....... H1-1b RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 6 FRP Member Checks IN0341 Hamilton Crossing - Beta Maximum Capacity 105% Factor of Safety 2.5 Section Set Shape Material Fa [psi] Fb [psi] Fv [psi] Ft [psi] fa [psi] fb [psi] fv [psi] fvt [psi] F.S.*(fa/Fa + fb/Fb) F.S.*(fv/Fv + fvt/Ft) FRP Post HSS4X4X4 FRP 30,000 30,000 4,500 11,000 140.18 4,353.19 560.27 0.00 37.4% 32.7% OK FRP Horizontal L6X4X8 FRP 30000 30000 4500 11000 23.68 4499.49 145.42 188.58 37.7% 14.3% OK FRP Standoff L4X4X6 FRP 30000 30000 4500 11000 459.19 4783.49 108.48 330.00 43.7% 16.0% OK Member Member Strengths Member Stresses Member Stresses 2022723.16.83210.02 Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 APPENDIX D Gamma Sector Analysis Building Governing Building Code: 2012 IBC Topographic Feature: N/A 66 ft Governing Design Load Code: ASCE7-10 H (Crest Height) = ft 87 ft TIA/EIA Code: G L (Slope Distance) = ft 1.00 Nominal Wind Speed (No Ice) = 89 mph (3-s gust) x (Distance from Crest) = ft II Nominal Wind Speed (w/ Ice) = 40 mph (3-s gust) Base Kzt Override = Yes Ice Thickness = 1.00 in No Exposure Category: C Structure Base Elevation (AMSL) 15 ft Parapet Height = 5 ft Xb (Windward Face Distance) = 10 ft Ws (Windward Face Width) = 140 ft 6 Member Type Length (in) Side (Longest seeing wind) (in) Other Side (in) Calculated Dc, for ice weight (in) Dc, for ice weight (in) Area Type (Round or Flat) Ka User's Wind Multiplier Unshielded Normal Wind Force w/ Ice (lb/ft)* Ice Weight (lb/ft)* Pipe 74 2.375 2.375 6.3 2.38 Round 1.00 1.00 2.40 12.33 Square/Rect. 78 4 4 5.66 Flat 1.00 1.00 3.85 21.16 Square/Rect. 79.4 4 4 5.66 Flat 1.00 1.00 3.86 21.16 Angle 264 4 6 7.21 Flat 1.00 0.00 0.00 25.35 Angle 12 4 4 5.66 Flat 1.00 1.00 4.02 21.16 Angle 256 4 4 5.66 Flat 1.00 1.00 5.30 21.16 *All forces are unfactored. 13 Loading Elevation (ft) Height (in) Front Width (in) Side Depth (in) Wt (lbs) Type for Area Front Shielding (%) Side Shielding (%) Ka and/or block shielding Normal Wind Force (lbs)* Wt (lbs) (no ice)* Normal Wind Force (lbs) (w/ ice)* Wt (lbs) (only ice)* (1) EPBQ-654L8H8-L2 87 96 21 16.3 86 Flat 0% 0% 1.00 428.28 86.00 97.68 647.00 (1) NNH4-65B-R6H4 87 72 19.6 7.8 82 Flat 0% 0% 1.00 290.53 82.00 67.71 368.94 (1) AIR6449 N77D+AIR6419 N77G STACKED 87 58.4 31.6 14.8 147.7 Flat 0% 0% 1.00 364.11 147.70 90.13 522.56 (1) SBJAH4-1D65B-DL 87 72 13.8 8.2 59.1 Flat 0% 0% 1.00 215.77 59.10 51.83 304.34 (1) 4478 B14 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B5 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) 4478 B12A 87 18.1 13.4 8.26 59.4 Flat 0% 0% 1.00 47.85 59.40 15.97 99.60 (1) RRUS-32 B2 87 27.2 12.05 7 52.9 Flat 0% 0% 1.00 64.67 52.90 20.73 117.94 (1) RRUS-32 B66A 87 27.6 12.45 7.41 55.12 Flat 0% 0% 1.00 67.80 55.12 21.50 124.11 (1) RRUS-32 B30 87 26.7 12.1 6.7 30 Flat 0% 0% 1.00 63.74 30.00 20.46 114.69 (1) DC9-48-60-24-8C-EV 87 31.41 10.24 18.28 26.2 Flat 0% 0% 1.00 64.79 26.20 20.91 195.18 (1) DC6-48-60-08F 87 24 11 11 18.9 Round 0% 0% 1.00 52.09 18.90 17.44 124.42 (1) DC2 87 11.64 13.22 6.27 16 Flat 0% 0% 1.00 30.36 16.00 11.27 66.61 *All forces are unfactored. Pipe Mount FRP Post FRP Kicker FRP Horizontal FRP Standoff Apply Wind Speed-Up Factor: Wind Speed-Up Factor No Ice Ice Output TIA-222-G: Mount Analysis Wind Loading ASCE 7-10 Rooftop Structures C&C Wind Pressures IN0341 Hamilton Crossing 2022723.16.83210.02 Code ASCE 7-10 Enclosure Classificaiton Partially Enclosed Table 26.10-1 Gh 0.85 26.9.1 Mean Roof Height 80 ft V (Ultimate) 89 mph Building Width 120 ft Kd 0.85 Table 26.6-1 Building Length 310 ft Exposure Category C BH 9600 sf Zg 900 ft Table 26.9-1 LH 24800 sf α 9.5 Table 26.9-1 BL 37200 sf Kz,min 0.85 Table 30.3-1 Rooftop Structure Screen Wall Kzt 1.00 Screen Wall Height 90 ft Ground Elevation 0.00 ft Screen Wall Height Above Roof 10 ft Tributary Length Ke 1.000 n/a Screen Wall Width 40 ft Tributary Width Screen Wall Wall Area (Af) 400.00 sf Screen Wall Length 95 ft Tributary Width Screen Wall Wall Area (Af) 950.00 sf Loads may be conservative see commentary Screen Wall Flat Roof (Af) 3800.00 sf Section Description h (ft) Kz qh (psf) 0.1Af(BH or LH or BL) (GCr) Ppressure (psf) Screen Wall Width Wall Pressure: 90 1.238 21.336 960 1.900 40.54 Screen Wall Length Wall Pressure: 90 1.238 21.336 2480 1.900 40.54 Screen Wall Flat Roof Pressure: 90 1.238 21.336 3720 1.898 40.49 Wind Loading Information Structure Information ASCE 7-10 Rooftop Structures C&C Wind Pressures 30.11 / 29.5.1 (Rooftop Structure) GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Gamma 3D Rendering SK - 1 Mar 24, 2022 at 11:49 PM 83210 GAMMA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Gamma Member Sizes SK - 2 Mar 24, 2022 at 11:50 PM 83210 GAMMA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Gamma SK - 3 Mar 24, 2022 at 11:50 PM 83210 GAMMA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 N53 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Gamma Bending Capacity SK - 4 Mar 24, 2022 at 11:50 PM 83210 GAMMA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 GPD Stokes, James 2022723.16.73210.02 IN0341 Hamilton Crossing - Gamma Shear Capacity SK - 5 Mar 24, 2022 at 11:51 PM 83210 GAMMA.Loaded.r3d N1 N2 N3 N4 N5 N6 N7 N8 N9 N10 N11 N12 N13 N14 N15 N16 N17 N18 N19 N20 N21 N22 N23 N24 N25 N26 N27 N28 N29 N30 N31 N32 N33 N34 N35 N36 N37 N38 N39 N40 N41 N42 N43 N44 N45 N46 N47 N48 N49 N50 N51 N52 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma (Global) Model Settings Display Sections for Member Calcs Max Internal Sections for Member Calcs Include Shear Deformation? Increase Nailing Capacity for Wind? Include Warping? Trans Load Btwn Intersecting Wood Wall? Area Load Mesh (in^2) Merge Tolerance (in) P-Delta Analysis Tolerance Include P-Delta for Walls? Automatically Iterate Stiffness for Walls? Max Iterations for Wall Stiffness Gravity Acceleration (in/sec^2) Wall Mesh Size (in) Eigensolution Convergence Tol. (1.E-) Vertical Axis Global Member Orientation Plane Static Solver Dynamic Solver 5 97 Yes Yes Yes Yes 144 .12 0.50% Yes Yes 3 386.4 24 4 Y XZ Sparse Accelerated Accelerated Solver Hot Rolled Steel Code Adjust Stiffness? RISAConnection Code Cold Formed Steel Code Wood Code Wood Temperature Concrete Code Masonry Code Aluminum Code Stainless Steel Code AISC 14th(360-10): LRFD No AISC 14th(360-10): LRFD AISI S100-10: LRFD AWC NDS-12: ASD < 100F ACI 318-11 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma (Global) Model Settings, Continued Seismic Code Seismic Base Elevation (in) Add Base Weight? Ct X Ct Z T X (sec) T Z (sec) R X R Z Ct Exp. X Ct Exp. Z SD1 SDS S1 TL (sec) Risk Cat Drift Cat ASCE 7-16 Not Entered Yes .02 .02 Not Entered Not Entered 3 3 .75 .75 1 1 1 5 I or II Other Om Z Om X Cd Z Cd X Rho Z Rho X 1 1 4 4 1 1 Hot Rolled Steel Properties Label E [ksi] G [ksi] Nu Therm (/1E...Density[k/ft... Yield[ksi] Ry Fu[ksi] Rt 1 A992 29000 11154 .3 .65 .49 50 1.1 65 1.1 2 A36 Gr.36 29000 11154 .3 .65 .49 36 1.5 58 1.2 3 A572 Gr.50 29000 11154 .3 .65 .49 50 1.1 65 1.1 4 A500 Gr.B RND 29000 11154 .3 .65 .527 42 1.4 58 1.3 5 A500 Gr.B RECT 29000 11154 .3 .65 .527 46 1.4 58 1.3 6 A500 Gr.C RND 29000 11154 .3 .65 .527 46 1.4 62 1.3 7 A500 Gr.C RECT 29000 11154 .3 .65 .527 50 1.4 62 1.3 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma Member Primary Data (Continued) Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 5 M5 N9 N10 FRP Post Column None FRP Typical 6 M6 N11 N12 FRP Kicker VBrace None FRP Typical 7 M7 N13 N14 FRP Kicker VBrace None FRP Typical 8 M8 N15 N16 FRP Kicker VBrace None FRP Typical 9 M9 N17 N18 FRP Kicker VBrace None FRP Typical 10 M10 N19 N20 FRP Kicker VBrace None FRP Typical 11 M12 N26 N57 90 FRP Horizontal Beam None FRP Typical 12 M13 N30 N61 90 FRP Horizontal Beam None FRP Typical 13 M15 N25 N27 180 FRP Standoff Beam None FRP Typical 14 M16 N26 N28 90 FRP Standoff Beam None FRP Typical 15 M17 N27 N28 RIGID None None RIGID Typical 16 M18 N29 N31 180 FRP Standoff Beam None FRP Typical 17 M19 N30 N32 90 FRP Standoff Beam None FRP Typical 18 M20 N31 N32 RIGID None None RIGID Typical 19 M21 N33 N35 180 FRP Standoff Beam None FRP Typical 20 M22 N34 N36 90 FRP Standoff Beam None FRP Typical 21 M23 N35 N36 RIGID None None RIGID Typical 22 M24 N37 N39 180 FRP Standoff Beam None FRP Typical 23 M25 N38 N40 90 FRP Standoff Beam None FRP Typical 24 M26 N39 N40 RIGID None None RIGID Typical 25 M27 N41 N43 180 FRP Standoff Beam None FRP Typical 26 M28 N42 N44 90 FRP Standoff Beam None FRP Typical 27 M29 N43 N44 RIGID None None RIGID Typical 28 M30 N45 N47 180 FRP Standoff Beam None FRP Typical 29 M31 N46 N48 90 FRP Standoff Beam None FRP Typical 30 M32 N47 N48 RIGID None None RIGID Typical 31 M33 N49 N51 180 FRP Standoff Beam None FRP Typical 32 M34 N50 N52 90 FRP Standoff Beam None FRP Typical 33 M35 N51 N52 RIGID None None RIGID Typical 34 M36 N53 N55 180 FRP Standoff Beam None FRP Typical 35 M37 N54 N56 90 FRP Standoff Beam None FRP Typical 36 M38 N55 N56 RIGID None None RIGID Typical 37 M39 N57 N59 180 FRP Standoff Beam None FRP Typical 38 M40 N58 N60 90 FRP Standoff Beam None FRP Typical 39 M41 N59 N60 RIGID None None RIGID Typical 40 M42 N61 N63 180 FRP Standoff Beam None FRP Typical 41 M43 N62 N64 90 FRP Standoff Beam None FRP Typical 42 M44 N63 N64 RIGID None None RIGID Typical 43 M45 N65 N66 270 New Horizontal Beam None A36 Gr.36 Typical 44 M46 N67 N68 270 New Horizontal Beam None A36 Gr.36 Typical 45 M47 N69 N70 PIpe Mount Column None A53 Gr.B Typical 46 M48 N71 N72 PIpe Mount Column None A53 Gr.B Typical 47 M49 N73 N74 PIpe Mount Column None A53 Gr.B Typical 48 M50 N75 N76 PIpe Mount Column None A53 Gr.B Typical 49 M49A N24 N22 RIGID None None RIGID Typical 50 M50A N22 N21 RIGID None None RIGID Typical 51 M51 N21 N23 RIGID None None RIGID Typical 52 M52 N23 N24 RIGID None None RIGID Typical Member Advanced Data Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 1 M1 Yes ** NA ** Exclude None 2 M2 Yes ** NA ** Exclude None 3 M3 Yes ** NA ** Exclude None 4 M4 Yes ** NA ** Exclude None Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma Member Advanced Data (Continued) Label I Release J Release I Offset[in] J Offset[in] T/C Only Physical Defl Rat...Analysis ... Inactive Seismic... 5 M5 Yes ** NA ** Exclude None 6 M6 BenPIN Yes ** NA ** Exclude None 7 M7 BenPIN Yes ** NA ** Exclude None 8 M8 BenPIN Yes ** NA ** Exclude None 9 M9 BenPIN Yes ** NA ** Exclude None 10 M10 BenPIN Yes ** NA ** Exclude None 11 M12 Yes Default Exclude None 12 M13 Yes Default Exclude None 13 M15 Yes Default Exclude None 14 M16 Yes Exclude None 15 M17 Yes ** NA ** None 16 M18 Yes Exclude None 17 M19 Yes Exclude None 18 M20 Yes ** NA ** None 19 M21 Yes Exclude None 20 M22 Yes Exclude None 21 M23 Yes ** NA ** None 22 M24 Yes Exclude None 23 M25 Yes Exclude None 24 M26 Yes ** NA ** None 25 M27 Yes Exclude None 26 M28 Yes Exclude None 27 M29 Yes ** NA ** None 28 M30 Yes Exclude None 29 M31 Yes Exclude None 30 M32 Yes ** NA ** None 31 M33 Yes Exclude None 32 M34 Yes Exclude None 33 M35 Yes ** NA ** None 34 M36 Yes Exclude None 35 M37 Yes Exclude None 36 M38 Yes ** NA ** None 37 M39 Yes Exclude None 38 M40 Yes Exclude None 39 M41 Yes ** NA ** None 40 M42 Yes Exclude None 41 M43 Yes Exclude None 42 M44 Yes ** NA ** None 43 M45 Yes None 44 M46 Yes None 45 M47 Yes ** NA ** None 46 M48 Yes ** NA ** None 47 M49 Yes ** NA ** None 48 M50 Yes ** NA ** None 49 M49A Yes ** NA ** None 50 M50A Yes ** NA ** None 51 M51 Yes ** NA ** None 52 M52 Yes ** NA ** None Hot Rolled Steel Design Parameters Label Shape Length[... Lbyy[in] Lbzz[in] Lcomp top...Lcomp bot...L-torq... Kyy Kzz Cb Funct... 1 M1 FRP Post 78 Lbyy 2.1 2.1 Lateral 2 M2 FRP Post 78 Lbyy 2.1 2.1 Lateral 3 M3 FRP Post 78 Lbyy 2.1 2.1 Lateral 4 M4 FRP Post 78 Lbyy 2.1 2.1 Lateral Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma Hot Rolled Steel Design Parameters (Continued) Label Shape Length[... Lbyy[in] Lbzz[in] Lcomp top...Lcomp bot...L-torq... Kyy Kzz Cb Funct... 5 M5 FRP Post 78 Lbyy 2.1 2.1 Lateral 6 M6 FRP Kicker 79.398 Lbyy 1 1 Lateral 7 M7 FRP Kicker 79.398 Lbyy 1 1 Lateral 8 M8 FRP Kicker 79.398 Lbyy 1 1 Lateral 9 M9 FRP Kicker 79.398 Lbyy 1 1 Lateral 10 M10 FRP Kicker 79.398 Lbyy 1 1 Lateral 11 M12 FRP Horizontal 264 Lbyy 1 1 Lateral 12 M13 FRP Horizontal 264 Lbyy 1 1 Lateral 13 M15 FRP Standoff 12 Lbyy 1 1 Lateral 14 M16 FRP Standoff 12 Lbyy 1 1 Lateral 15 M18 FRP Standoff 12 Lbyy 1 1 Lateral 16 M19 FRP Standoff 12 Lbyy 1 1 Lateral 17 M21 FRP Standoff 12 Lbyy 1 1 Lateral 18 M22 FRP Standoff 12 Lbyy 1 1 Lateral 19 M24 FRP Standoff 12 Lbyy 1 1 Lateral 20 M25 FRP Standoff 12 Lbyy 1 1 Lateral 21 M27 FRP Standoff 12 Lbyy 1 1 Lateral 22 M28 FRP Standoff 12 Lbyy 1 1 Lateral 23 M30 FRP Standoff 12 Lbyy 1 1 Lateral 24 M31 FRP Standoff 12 Lbyy 1 1 Lateral 25 M33 FRP Standoff 12 Lbyy 1 1 Lateral 26 M34 FRP Standoff 12 Lbyy 1 1 Lateral 27 M36 FRP Standoff 12 Lbyy 1 1 Lateral 28 M37 FRP Standoff 12 Lbyy 1 1 Lateral 29 M39 FRP Standoff 12 Lbyy 1 1 Lateral 30 M40 FRP Standoff 12 Lbyy 1 1 Lateral 31 M42 FRP Standoff 12 Lbyy 1 1 Lateral 32 M43 FRP Standoff 12 Lbyy 1 1 Lateral 33 M45 New Horizontal 256 64 64 64 64 64 .65 .65 Lateral 34 M46 New Horizontal 256 64 64 64 64 64 .65 .65 Lateral 35 M47 PIpe Mount 74 Lbyy 1 1 Lateral 36 M48 PIpe Mount 74 Lbyy 1 1 Lateral 37 M49 PIpe Mount 74 Lbyy 1 1 Lateral 38 M50 PIpe Mount 74 Lbyy 1 1 Lateral Basic Load Cases BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 1 Dead DL -1 8 2 No Ice Wind 0 deg None 8 16 1 3 No Ice Wind 30 deg None 16 72 4 No Ice Wind 60 deg None 16 72 5 No Ice Wind 90 deg None 8 34 6 No Ice Wind 120 deg None 16 72 7 No Ice Wind 150 deg None 16 72 8 No Ice Wind 180 deg None 8 16 1 9 No Ice Wind 210 deg None 16 72 10 No Ice Wind 240 deg None 16 72 11 No Ice Wind 270 deg None 8 34 12 No Ice Wind 300 deg None 16 72 13 No Ice Wind 330 deg None 16 72 14 Ice Weight None 8 38 15 Ice Wind 0 deg None 8 16 16 Ice Wind 30 deg None 16 72 17 Ice Wind 60 deg None 16 72 18 Ice Wind 90 deg None 8 34 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma Basic Load Cases (Continued) BLC Description Category X Gravity Y Gravity Z Gravity Joint Point Distributed Area(Me... Surface(P... 19 Ice Wind 120 deg None 16 72 20 Ice Wind 150 deg None 16 72 21 Ice Wind 180 deg None 8 16 22 Ice Wind 210 deg None 16 72 23 Ice Wind 240 deg None 16 72 24 Ice Wind 270 deg None 8 34 25 Ice Wind 300 deg None 16 72 26 Ice Wind 330 deg None 16 72 Load Combinations Description S... P... S... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... B... Fa... 1 1.4 Dead Yes Y 1 1.4 0 0 0 0 0 0 0 2 1.2 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 1.2 2 1.6 0 0 0 0 0 0 3 0.9 Dead + 1.6 Wind @ 0° - No I...Yes Y 1 .9 2 1.6 0 0 0 0 0 0 4 1.2 Dead + 1.6 Wind @ 30° - No...Yes Y 1 1.2 3 1.6 0 0 0 0 0 0 5 0.9 Dead + 1.6 Wind @ 30° - No...Yes Y 1 .9 3 1.6 0 0 0 0 0 0 6 1.2 Dead + 1.6 Wind @ 60° - No...Yes Y 1 1.2 4 1.6 0 0 0 0 0 0 7 0.9 Dead + 1.6 Wind @ 60° - No...Yes Y 1 .9 4 1.6 0 0 0 0 0 0 8 1.2 Dead + 1.6 Wind @ 90° - No...Yes Y 1 1.2 5 1.6 0 0 0 0 0 0 9 0.9 Dead + 1.6 Wind @ 90° - No...Yes Y 1 .9 5 1.6 0 0 0 0 0 0 10 1.2 Dead + 1.6 Wind @ 120° - N...Yes Y 1 1.2 6 1.6 0 0 0 0 0 0 11 0.9 Dead + 1.6 Wind @ 120° - N...Yes Y 1 .9 6 1.6 0 0 0 0 0 0 12 1.2 Dead + 1.6 Wind @ 150° - N...Yes Y 1 1.2 7 1.6 0 0 0 0 0 0 13 0.9 Dead + 1.6 Wind @ 150° - N...Yes Y 1 .9 7 1.6 0 0 0 0 0 0 14 1.2 Dead + 1.6 Wind @ 180° - N...Yes Y 1 1.2 8 1.6 0 0 0 0 0 0 15 0.9 Dead + 1.6 Wind @ 180° - N...Yes Y 1 .9 8 1.6 0 0 0 0 0 0 16 1.2 Dead + 1.6 Wind @ 210° - N...Yes Y 1 1.2 9 1.6 0 0 0 0 0 0 17 0.9 Dead + 1.6 Wind @ 210° - N...Yes Y 1 .9 9 1.6 0 0 0 0 0 0 18 1.2 Dead + 1.6 Wind @ 240° - N...Yes Y 1 1.2 10 1.6 0 0 0 0 0 0 19 0.9 Dead + 1.6 Wind @ 240° - N...Yes Y 1 .9 10 1.6 0 0 0 0 0 0 20 1.2 Dead + 1.6 Wind @ 270° - N...Yes Y 1 1.2 11 1.6 0 0 0 0 0 0 21 0.9 Dead + 1.6 Wind @ 270° - N...Yes Y 1 .9 11 1.6 0 0 0 0 0 0 22 1.2 Dead + 1.6 Wind @ 300° - N...Yes Y 1 1.2 12 1.6 0 0 0 0 0 0 23 0.9 Dead + 1.6 Wind @ 300° - N...Yes Y 1 .9 12 1.6 0 0 0 0 0 0 24 1.2 Dead + 1.6 Wind @ 330° - N...Yes Y 1 1.2 13 1.6 0 0 0 0 0 0 25 0.9 Dead + 1.6 Wind @ 330° - N...Yes Y 1 .9 13 1.6 0 0 0 0 0 0 26 1.2 Dead + 1.0 Ice Wind @ 0°+ ...Yes Y 1 1.2 15 1 14 1 1 0 0 0 0 27 1.2 Dead + 1.0 Ice Wind @ 30°+...Yes Y 1 1.2 16 1 14 1 1 0 0 0 0 28 1.2 Dead + 1.0 Ice Wind @ 60°+...Yes Y 1 1.2 17 1 14 1 1 0 0 0 0 29 1.2 Dead + 1.0 Ice Wind @ 90°+...Yes Y 1 1.2 18 1 14 1 1 0 0 0 0 30 1.2 Dead + 1.0 Ice Wind @ 120°...Yes Y 1 1.2 19 1 14 1 1 0 0 0 0 31 1.2 Dead + 1.0 Ice Wind @ 150°...Yes Y 1 1.2 20 1 14 1 1 0 0 0 0 32 1.2 Dead + 1.0 Ice Wind @ 180°...Yes Y 1 1.2 21 1 14 1 1 0 0 0 0 33 1.2 Dead + 1.0 Ice Wind @ 210°...Yes Y 1 1.2 22 1 14 1 1 0 0 0 0 34 1.2 Dead + 1.0 Ice Wind @ 240°...Yes Y 1 1.2 23 1 14 1 1 0 0 0 0 35 1.2 Dead + 1.0 Ice Wind @ 270°...Yes Y 1 1.2 24 1 14 1 1 0 0 0 0 36 1.2 Dead + 1.0 Ice Wind @ 300°...Yes Y 1 1.2 25 1 14 1 1 0 0 0 0 37 1.2 Dead + 1.0 Ice Wind @ 330°...Yes Y 1 1.2 26 1 14 1 1 0 0 0 0 Envelope Joint Reactions Joint X [lb] LC Y [lb] LC Z [lb] LC MX [lb-ft] LC MY [lb-ft] LC MZ [lb-ft] LC 1 N14 max 1143.526 14 928.94 3 76.375 20 0 37 0 37 0 37 2 min -1115.836 3 -940.756 14 -76.41 8 0 1 0 1 0 1 3 N12 max 3880.758 14 3250.818 3 76.422 20 0 37 0 37 0 37 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 6 Company : GPD Mar 24, 2022 Designer : Stokes, James 11:51 PM Job Number : 2022723.16.73210.02 Checked By:_____ Model Name : IN0341 Hamilton Crossing - Gamma Envelope Joint Reactions (Continued) Joint X [lb] LC Y [lb] LC Z [lb] LC MX [lb-ft] LC MY [lb-ft] LC MZ [lb-ft] LC 4 min -3790.321 3 -3308.651 14 -76.425 8 0 1 0 1 0 1 5 N1 max 1047.61 15 3665.035 14 497.846 19 0 37 0 37 0 37 6 min -1154.257 2 -2789.345 3 -1176.733 28 0 1 0 1 0 1 7 N3 max 446.86 15 5050.131 32 939.383 20 0 37 0 37 0 37 8 min -455.746 2 -693.083 3 -825.246 9 0 1 0 1 0 1 9 N5 max 163.26 17 4259.139 32 766.559 21 0 37 0 37 0 37 10 min -219.474 26 -290.503 3 -799.225 8 0 1 0 1 0 1 11 N16 max 820.364 14 659.318 3 76.385 20 0 37 0 37 0 37 12 min -804.944 3 -660.905 14 -76.386 8 0 1 0 1 0 1 13 N18 max 1096.518 14 888.806 3 76.411 20 0 37 0 37 0 37 14 min -1069.559 3 -900.05 14 -76.374 8 0 1 0 1 0 1 15 N20 max 3805.055 14 3186.038 3 76.426 20 0 37 0 37 0 37 16 min -3715.763 3 -3243.241 14 -76.424 8 0 1 0 1 0 1 17 N9 max 942.718 15 3542.762 14 676.961 35 0 37 0 37 0 37 18 min -1047.694 2 -2753.869 3 -448.428 9 0 1 0 1 0 1 19 N7 max 378.092 15 4383.62 32 817.199 21 0 37 0 37 0 37 20 min -387.25 2 -682.959 3 -832.123 8 0 1 0 1 0 1 21 Totals: max 13623.071 15 19122.185 32 3947.35 20 22 min -13623.072 2 1704.162 3 -3947.35 9 Envelope AISC 14th(360-10): LRFD Steel Code Checks Member Shape Code Check Loc...... Shear C... Loc[in] ... LC phi*P... phi*P... phi*M...phi*M...... Eqn 1 M45 L4X4X6 .398 32 36 .069 64 y 14 79746...92664 4398....9316.... 1 H2-1 2 M46 L4X4X6 .277 32 26 .091 64 y 14 79746...92664 4398....9316.... 1 H2-1 3 M50 PIPE_2.0 .204 0 20 .067 0 4 20365...32130 1871....1871....... H1-1b 4 M48 PIPE_2.0 .138 0 20 .044 0 24 20365...32130 1871....1871....... H1-1b 5 M49 PIPE_2.0 .131 0 8 .038 74 14 20365...32130 1871....1871....... H1-1b 6 M47 PIPE_2.0 .123 0 8 .045 0 24 20365...32130 1871....1871....... H1-1b RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 7 FRP Member Checks IN0341 Hamilton Crossing - Gamma Maximum Capacity 105% Factor of Safety 2.5 Section Set Shape Material Fa [psi] Fb [psi] Fv [psi] Ft [psi] fa [psi] fb [psi] fv [psi] fvt [psi] F.S.*(fa/Fa + fb/Fb) F.S.*(fv/Fv + fvt/Ft) FRP Post HSS4X4X4 FRP 30,000 30,000 4,500 11,000 312.96 1,362.82 302.41 2.52 14.0% 16.9% OK FRP Horizontal L6X4X8 FRP 30000 30000 4500 11000 0.40 1280.33 59.84 372.80 10.7% 13.2% OK FRP Standoff L4X4X6 FRP 30000 30000 4500 11000 261.67 3556.77 129.15 25.28 31.8% 9.2% OK FRP Kicker HSS4X4X4 FRP 30000 30000 4500 11000 583.72 83.37 8.59 0.00 5.6% 0.5% OK Member Member Strengths Member Stresses Member Stresses 2022723.16.83210.02 Pipe Mounts behind Screen Wall - Structural Evaluation USID: 83210 3/24/2022 APPENDIX E Modification Design Drawings ✁ ✁ ✁ ✂ ✂ ✂ ✄ ✄ ✄ ☎ ☎ ☎ ✁ ✁ ✁ ✄ ✄ ✄ ✂ ✂ ✂ ✆ ✆ ✆ ✠ ☞ ✍ ✝ ✆ ✁ ☎ ✝ ✆ ✌ ✟ ✠ ☞ ✞ ✁ ✍ ✠ ✁ ✝ ✟ ✎ ✍ ✟ ☛ ✠ ✌ ✎ ✁ ✡ ✏ ✏ ☛ ☛ ☛ ☛ ✂ ✟ ✆ ✎ ✑ ✟ ✆ ✠ ✂ ✓ ✆ ✝ ✎ ☎ ✒ ✆ ✟ ✒ ✁ ✟ ✆ ✎ ☛ ✟ ✠ ✓ ✝ ☛ ✝ ✞ ☎ ✁ ✆ ✝ ✎ ✂ ✁ ✒ ✄ ☞ ☎ ✝ ✁ ☎ ✔ ✄ ✡ ✆ ✂ ✎ ✆ ✆ ✆ ✒ ☎ ☛ ✠ ☛ ✟ ☛ ✆ ✁ ✕ ✍ ✔ ✔ ✍ ✍ ☎ ✄ ✟ ✂ ✁ ✆ ✆ ☎ ✌ ✟ ✍ ✁ ✂ ✆ ✓ ✌ ☛ ✍ ✂ ✓ ☛ ✌ ✍ ✖ ✆ ✂ ✎ ✝ ✎ ✌ ☎ ✍ ✒ ✆ ☛ ✁ ☎ ✂ ✝ ✆ ✁ ✆ ✓ ✁ ✗ ✟ ✁ ☎ ✒ ✟ ✍ ✒ ✁ ✄ ✂ ✆ ✎ ✆ ✘ ✁ ✝ ✓ ✔ ☛ ☛ ☛ ☎ ✤ ✢ ✟ ✜ ✂ ✥ ✙ ✦ ✆ ✎ ✠ ✏ ✗ ✙ ✝ ✎ ✆ ✂ ✚ ✝ ✛ ✒ ✜ ✝ ✢ ✟ ✣ ✎ ✁ ✏ ✌ ✢ ✥ ✪ ✥ ✬ ★ ✔ ✛ ✭ ✩ ✪ ✒ ✭ ✜ ✦ ✜ ✧ ✫ ✥ ✒ ✬ ✂ ✩ ✟ ✩ ✢ ✍ ✢ ✁ ★ ✬ ✍ ✆ ✏ ✚ ✏ ✣ ✑ ✒ ✜ ✣ ✁ ✫ ✫ ✤ ✍ ✜ ✔ ✧ ✣ ✛ ✧ ✣ ✜ ✣ ✤ ☞ ✌ ✣ ✧ ✟ ✔ ✚ ✙ ✧ ✒ ✣ ✧ ✝ ✜ ✔ ✠ ✣ ✁ ✂ ✣ ✍ ✍ ✎ ✮ ✏ ✯ ☛ ✣ ✜ ✣ ✤ ★ ✣ ✢ ✏ ✤ ✛ ✏ ✥ ✢ ✣ ✤ ✜ ✏ ✜ ✤ ✙ ✍ ✄ ✎ ✁ ✁ ✓ ✔ ✆ ☛ ✔ ✝ ✔ ✆ ✙ ✍ ✄ ✎ ✁ ✰ ✆ ☞ ✝ ✎ ✒ ☎ ✂ ✆ ✆ ✎ ✞ ✟ ✠ ✠ ✆ ✑ ✂ ✌ ✱ ✂ ✎ ✝ ✔ ✄ ✌ ✍ ✌ ✒ ✟ ✌ ✙ ✝ ✙ ✠ ✎ ✝ ✝ ✎ ✍ ✑ ✆ ✌ ✌ ✝ ✒ ✆ ✆ ✔ ✂ ✒ ✔ ✒ ✲ ✝ ✠ ✎ ✆ ✁ ✟ ✌ ✌ ✎ ✍ ✎ ✔ ✌ ✟ ✂ ✒ ✝ ✆ ✎ ✆ ✌ ✂ ✆ ✖ ✂ ✖ ✝ ✆ ✝ ✆ ✍ ✝ ✂ ☎ ✁ ✞ ✄ ✝ ✆ ✎ ☎ ✔ ✌ ✍ ✏ ✏ ☎ ✔ ✎ ✑ ✍ ✠ ✍ ✁ ✆ ✙ ✆ ✂ ✂ ✂ ✟ ✏ ✟ ✖ ✂ ☎ ✝ ✆ ✆ ☎ ✁ ✱ ✆ ✍ ☎ ✄ ✍ ✂ ✆ ✟ ✎ ✂ ✁ ✝ ✁ ✎ ✆ ✟ ✝ ✎ ☎ ☎ ✟ ✌ ✁ ✠ ✖ ✟ ✟ ✌ ✱ ✝ ✔ ✄ ✠ ✒ ✟ ✟ ✝ ✰ ✠ ✖ ✟ ✝ ✠ ✑ ✁ ✆ ✝ ✆ ✒ ✙ ✎ ✁ ✪ ✪ ✝ ✜ ✜ ✪ ✜ ✤ ✤ ☛ ✤ ☛ ☛ ✁ ✔ ✙ ✝ ✂ ✁ ✍ ✍ ✠ ✆ ✒ ✮ ✆ ✝ ✑ ☎ ✝ ☞ ☎ ✁ ✆ ✟ ✎ ✆ ✁ ✁ ✍ ✝ ✍ ✁ ✎ ✆ ✝ ✎ ✔ ✆ ☎ ✁ ✝ ✍ ✎ ☎ ☞ ✆ ☎ ✡ ✠ ✝ ✁ ✁ ✥ ✚ ✤ ✤ ✬ ✜ ✫ ✝ ✤ ✟ ✦ ✙ ✙ ✪ ✣ ✙ ✔ ✔ ✣ ✔ ☞ ☞ ✣ ☞ ✪ ✌ ✢ ✢ ✢ ✳ ✆ ✆ ✣ ✆ ☎ ☎ ✜ ☎ ✍ ✍ ✤ ✍ ✚ ✎ ✎ ✎ ✒ ✒ ✝ ✎ ✒ ✌ ✌ ✒ ✌ ✄ ✄ ✝ ✟ ✄ ✎ ✁ ✁ ✟ ✁ ✴ ✴ ✎ ✞ ✰ ✴ ✄ ✄ ✍ ✧ ✠ ✝ ✝ ✙ ✠ ☎ ✁ ✒ ✝ ✝ ✆ ✎ ✙ ✝ ✵ ✎ ✟ ✟ ✌ ✠ ✁ ✵ ✆ ☎ ✵ ✍ ✒ ✆ ✝ ☎ ✤ ✝ ✪ ✪ ✪ ✜ ✜ ✜ ✢ ✣ ✤ ☛ ☛ ☛ ✟ ✙ ✂ ✒ ✍ ✍ ✒ ✍ ✒ ✝ ✑ ✝ ✁ ✑ ✁ ✝ ✝ ✍ ☎ ✍ ✎ ✟ ✔ ✟ ✁ ✔ ✠ ✝ ✍ ✠ ✒ ✟ ✎ ✆ ✎ ✁ ✳ ✆ ✟ ☎ ✝ ✙ ✠ ✁ ✍ ✝ ✍ ✒ ✳ ✎ ✝ ✑ ✝ ✆ ☎ ☎ ✟ ✁ ✁ ✝ ✝ ✍ ✍ ✎ ✎ ☎ ☞ ✆ ✒ ✄ ✠ ✆ ✶ ✷ ✸ ✹ ✷ ✸ ✸ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ❰❰ÐÏ❰❮❐❒❐ ❐ Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó × Ø Ù à Ú á Û â ã Ü ä å × æ ç Ý è æ Û é Ü é æ Þ × Ü ß ê é ô ë é ê ì ø ô ê ú í ï í ë ë ö í õ ð î ô ï ñ ö ê ð û ë ê ñ ï ÷ ò ù ê ø ë ö ê ù ã ø ç ó ð æ ö ã Ú Û ü Ù Û Ú Ú ý × Ý Û Ü Þ × Ü ß þ à ✁ é í á ó ï ☎ î á æ ù ù ì æ ñ ä ï ô ÿ é ï ë ï õ å õ ò ó ì ö ÷ ï è ñ ñ ó ú ú ✂ ÷ â æ ô ê ã ï ✁ æ ã í ë î á ê ë ñ ì â â ✁ ñ î ù ÷ ð ö ù ï í ö õ ñ ö î ö ÷ ✄ ø ò ö ñ ï ô õ ô í ê ÷ ê ð ö ó é á â ✁ î ì ✁ ù ï õ î ò ê ë ø ✄ ✶ ✷ ✸ ✹ ✷ ✸ ✸ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ❒❐✡✠❒✟❒✞✝✆ ❒❐✠❰☞Ï☛❒☛✝ ☛✝ ❐Ï❒❮✌✠❰Ð✠ Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó ✢ ✣ ✤ ✥ ✴ ✴ ✦ ✢ ✣ ✧ ✣ ✩ ✢ ✫ ✸ ★ ✦ ★ ✯ ✢ ✵ ✢ ✩ ✣ ✣ ✯ ❏ ★ ✣ ✶ ✩ ✧ ✷ ✦ ✢ ✮ ✮ ✪ ✪ ✵ ✦ ✩ ✧ ✪ ✣ ✢ ★ ✫ ✸ ✧ ✹ ✢ ✦ ✸ ✰ ✹ ✺ ✦ ✰ ✺ ✮ ✍ ✎ ✏ ✑ ✒ ✑ ✓ ❊ ■ ✻ ✔ ❋ ❃ ✼ ✘ ❃ ✕ ✽ ✽ ❋ ✾ ✱ ✻ ❃ ✑ ✿ ✎ ✼ ✙ ✼ ✻ ✽ ✾ ❋ ✖ ❀ ✲ ✿ ✓ ❍ ❊ ❁ ❅ ❋ ✑ ✎ ❂ ✖ ❑ ❈ ✽ ✾ ❃ ✖ ✗ ✽ ❊ ✻ ✽ ✿ ✗ ✽ ✘ ✿ ✾ ❅ ❅ ❀ ✕ ✙ ✻ ✻ ❃ ✽ ✱ ❋ ✓ ❄ ✽ ❋ ❉ ❀ ❉ ✳ ✕ ▲ ✾ ✻ ✓ ✑ ❅ ✼ ✎ ✾ ❀ ✕ ✖ ❅ ✿ ✑ ✎ ❋ ❆ ✓ ❉ ❇ ✖ ✻ ✽ ✚ ❈ ❃ ❀ ✙ ❅ ❂ ✿ ✽ ✓ ❉ ✻ ❀ ❋ ✛ ❃ ❊ ✜ ❋ ✾ ❃ ✑ ✼ ✗ ✬ ❅ ✻ ✢ ✕ ❂ ✼ ✦ ❂ ✣ ❀ ✭ ■ ❃ ✧ ❃ ❀ ✣ ❋ ● ✮ ❄ ❇ ✯ ✽ ❈ ✽ ✢ ❃ ❀ ✦ ❀ ★ ❈ ❈ ✪ ❀ ✦ ✩ ✿ ✻ ✰ ❋ ❅ ❉ ✽ ❂ ✾ ❀ ✻ ❈ ❃ ❅ ❇ ✾ ✿ ✾ ✻ ❀ ✽ ❋ ❍ ❉ ❑ ❂ ❈ ▼ ❋ ❈ ✿ ❃ ❇ ❅ ❍ ◆ ❀ ❉ ✽ ❉ ✻ ❆ ✾ ✾ ❅ ❅ ❉ ❉ ❈ ❈ ✽ ❉ ✾ ■ ❀ ✿ ✻ ✽ ❋ ❉ ✾ ✴ ✭ ✸ ✬ ✢ ✦ ✯ ✸ ✪ ✦ ✩ ✰ ✦ ✰ ✮ ★ ✣ ✯ ✪ ✦ ✩ ✰ ❈ ✾ ❅ ❅ ✼ ❃ ■ ❂ ■ ❀ ❅ ❀ ❂ ❅ ◆ ✻ ❃ ✽ ✻ ✿ ✽ ❉ ❀ ❅ ✽ ❉ ❆ ❃ ❑ ❆ ✾ ❂ ❊ ▲ ❀ ❃ ✻ ❍ ❋ ❅ ❋ ✽ ❂ ❉ ❍ ✻ ❂ ✾ ✼ ✽ ❉ ✻ ✽ ❀ ✷ ✼ ❆ ❅ ❀ ❀ ✾ ▲ ❆ ❋ ✻ ❊ ❍ ❅ ❃ ❅ ❂ ❑ ✾ ❊ ❄ ❃ ❋ ✻ ❅ ❅ ✽ ❃ ✿ ❉ ❉ ❅ ✽ ❅ ◗ ❈ ✻ ■ ✽ ❅ ❋ ❉ ■ ❃ ❆ ❃ ❃ ❈ ▲ ❋ ✾ ✾ ❀ ✻ ❄ ✻ ❖ ❅ ❅ ✿ ✻ ❂ ❘ ✽ ❖ ❉ ✼ ❆ ❅ ✾ ✻ ❑ ✼ ❀ ❅ ❀ ✻ ❉ ❅ ❂ ❈ ❂ ❋ ❊ ❉ ❅ ❀ ❑ ❅ ❃ ✿ ✽ ✿ ✿ ❅ ❋ ✻ ❃ ✽ ❋ ❈ ❉ ✽ ❉ P ❆ ✽ ❖ ❀ ✻ ❖ ❋ ❈ ❃ ✽ ❉ ✽ ❂ ❈ ❂ ❇ ✽ ❉ ✾ ❆ ✻ ❃ ▲ ✿ ▼ ❇ ✾ ✻ ✻ ✻ ❅ ✽ ❉ ❉ ❈ ❆ ❅ ▲ ◆ ❃ ❈ ❀ ✾ ❂ ❈ ❅ ✷ ✽ ❋ ❉ ❉ ❃ ❈ ❆ ▲ ✾ ❅ ✼ ❂ ❂ ❋ ■ ✰ ✰ ✴ ✸ ✸ ✭ ✸ ✭ ✬ ✸ ✢ ✬ ✦ ✫ ✢ ✯ ✸ ✦ ✸ ✯ ✪ ✪ ✸ ✣ ✩ ✪ ✢ ✢ ✩ ✦ ✸ ✢ ✯ ✷ ✣ ✰ ✪ ✢ ✧ ✣ ✪ ✣ ✮ ✦ ✭ ✪ ✦ ✰ ✦ ✣ ✢ ✮ ✧ ✣ ★ ★ ✹ ✣ ✩ ✯ ✣ ✢ ✪ ✷ ✦ ✪ ✧ ✩ ✮ ✰ ✦ ✰ ❚ ✫ ✢ ✮ ✪ ★ ✣ ✢ ✣ ★ ❯ ✯ ✩ ✪ ✢ ✦ ✪ ✩ ✰ ❈ ❍ ❍ ✿ ✻ ❅ ✼ ❃ ❃ ❅ ✽ ✿ ❀ ❅ ✻ ✽ ✽ ❉ ◆ ✻ ◆ ❀ ❃ ✾ ✽ ✿ ❃ ✽ ■ ❀ ✽ ✾ ❉ ❅ ✽ ❀ ✾ ❅ ✼ ❂ ❆ ✿ ❇ ❂ ❅ ✾ ✾ ❂ ✻ ✻ ❂ ✼ ❖ ✻ ❋ ❂ ❀ ❅ ❋ ✾ ❃ ✾ ✽ ❉ ✿ ■ ✻ ✾ ❊ ✾ ❀ ✼ ◆ ❋ ❃ ■ ❃ ❅ ❀ ❃ ❀ ❀ ✻ ❂ ■ ❂ ✿ ❂ ✽ ❊ ✽ ❈ ❋ ❉ ✻ ❑ ✽ ✾ ✿ ❀ ❃ ❅ ❀ ❈ ❂ ✻ ✻ ❂ ❇ ✾ ■ ✼ ❂ ❉ ✾ ❃ ❅ ✾ ❈ ❊ ❋ ✽ ✻ ❋ ✼ ❅ ✻ ❄ ❅ ❉ ❑ ❃ ✽ ❉ ✽ ❂ ❃ ❈ ❀ ✽ ❂ ✾ ❉ ● ❀ ✽ ✿ ■ ❑ ❈ ❇ ✻ ❅ ❀ ❀ ✼ ✻ ✽ ✻ ❃ ✿ ❀ ■ ❋ ✽ ❋ ❀ ✻ ❃ ❍ ❋ ❉ ✻ ❅ ❋ ❃ ✼ ✽ ❈ ◆ ❄ ❃ ❀ ❈ ✾ ✽ ❀ ❀ ❈ ✼ ❍ ✽ ✻ ■ ❂ ❀ ❅ ❈ ❋ ✽ ✽ ❈ ❋ ❂ ✽ ✾ ❃ ❉ ❉ ❂ ❊ ✻ ✾ ❅ ✽ ❋ ■ ❉ ■ ❖ ❂ ❀ ❃ ❀ ❅ ❃ ✻ ✿ ✿ ❅ ❀ ❊ ✻ ❂ ✿ ✾ ❋ ❂ ❋ ❋ ✻ ❃ ❃ ❍ ❃ ✽ ❍ ❉ ❅ ❈ ❊ ❆ ❉ ✻ ❅ ❋ ❀ ❅ ❋ ❉ ❃ ❃ ❃ ✿ ❉ ✽ ❀ ✽ ❉ ❀ ❲ ❅ ❈ ✿ ❂ ❉ ◆ ❀ ❂ ❋ ❇ ✾ ❇ ✽ ✻ ✾ ✻ ✻ ✾ ✼ ❀ ❀ ❃ ✽ ❈ ❋ ❈ ❇ ❅ ❉ ◆ ✿ ❖ ◆ ✻ ❍ ✾ ✽ ❉ ✽ ✻ ✽ ✻ ❄ ❈ ✼ ❃ ✻ ❀ ❙ ✼ ✽ ❱ ❉ ✾ ❀ ❖ ❀ ❙ ❳ ✻ ✾ ❅ ❍ ❅ ✼ ✼ ❉ ❍ ❀ ❅ ✽ ❈ ❃ ❂ ✽ ❍ ❉ ❀ ❂ ❅ ❅ ❋ ■ ❑ ❃ ✻ ❈ ❋ ❀ ❀ ✽ ❋ ❃ ✽ ❊ ■ ■ ❉ ✻ ✽ ❋ ❃ ✿ ❖ ❋ ❃ ❅ ❋ ✻ ✻ ❉ ❄ ✽ ❈ ❋ ✽ ❅ ❈ ❀ ❉ ❂ ❀ ❂ ✻ ❈ ❅ ■ ✻ ✽ ❨ ❂ ❋ ■ ✽ ❉ ▲ ✻ ❆ ✿ ✼ ❨ ❀ ■ ▲ ✰ ✴ ✸ ✰ ✧ ✣ ✩ ✭ ✫ ★ ✩ ✸ ✰ ✯ ✩ ✶ ★ ✦ ✰ ✩ ✺ ✷ ✣ ✮ ✷ ✬ ✦ ★ ✸ ✮ ✮ ✣ ★ ✷ ✸ ✪ ✣ ■ ■ ■ ✻ ❅ ❅ ❃ ❅ ❋ ❃ ❉ ❉ ✿ ❋ ❋ ❈ ✻ ❈ ❁ ❄ ❄ ✼ ❀ ❊ ✽ ✽ ✽ ❉ ❀ ❈ ❈ ✽ ❂ ❋ ❆ ❀ ❀ ❂ ❍ ❊ ❀ ❈ ✷ ❈ ✾ ✽ ✻ ✻ ❖ ✼ ✻ ✽ ❉ ✼ ◆ ❋ ✽ ✾ ❀ ■ ❀ ■ ■ ✻ ■ ❂ ❀ ✼ ✽ ❋ ❉ ❈ ✿ ❀ ❆ ❂ ✾ ✻ ❀ ❍ ❋ ❂ ❩ ✻ ✽ ❬ ❃ ✽ ✾ ❋ ✽ ✷ ❉ ✻ ❙ ❊ ✾ ❭ ❑ ❋ ❊ ❪ ■ ❅ ❋ ❃ ✽ ❀ ❉ ✾ ❃ ✿ ❀ ✽ ❉ ❅ ✻ ❅ ✿ ■ ✿ ❋ ❂ ❂ ❂ ✿ ❂ ❃ ❅ ❇ ❋ ❍ ✻ ✾ ❊ ❃ ❀ ❅ ❋ ✽ ❋ ❈ ✻ ❃ ✿ ❉ ❅ ❀ ❋ ❉ ❃ ✽ ❉ ✽ ❉ ❉ ✿ ✽ ✿ ❅ ❉ ❀ ✻ ❂ ❂ ❀ ✼ ❇ ◆ ❇ ✿ ❀ ✾ ✾ ✻ ✽ ✻ ❍ ✽ ❋ ❀ ✽ ✼ ❋ ❈ ❉ ✽ ❉ ❅ ❃ ❈ ◆ ✽ ❀ ❉ ✽ ✾ ❇ ■ ✾ ✻ ❃ ❃ ❋ ✼ ❈ ❀ ✽ ❃ ❉ ❀ ❙ ● ✻ ❆ ❖ ❍ ❇ ❙ ❖ ✿ ❅ ✽ ✽ ❃ ❋ ❃ ❉ ❀ ❀ ❉ ❈ ❈ ■ ✾ ❅ ❋ ✻ ❅ ❃ ❃ ❉ ❃ ❇ ❀ ❈ ✻ ✿ ■ ❖ ❅ ❋ ✻ ◆ ❃ ✽ ❋ ✻ ❃ ❉ ❈ ✽ ✻ ❋ ❀ ✻ ❊ ✻ ❀ ✻ ❅ ❉ ✼ ✽ ❂ ❃ ❀ ✽ ❉ ❀ ❍ ■ ❆ ❋ ❋ ✻ ❈ ❃ ✼ ✻ ✽ ❀ ❊ ✾ ✽ ✿ ❃ ✼ ❅ ❀ ❅ ✻ ✾ ❂ ❇ ✽ ❋ ❂ ❂ ❉ ❑ ✻ ❀ ✾ ✾ ✼ ■ ✾ ❅ ❃ ✼ ❂ ❋ ❅ ❂ ❄ ❂ ❑ ❂ ✽ ❈ ❀ ❑ ❀ ❀ ❈ ✰ ✰ ✸ ✸ ★ ✩ ✮ ✪ ❴ ✦ ✰ ✮ ✪ ✸ ★ ✷ ✢ ✷ ✣ ✣ ❴ ✧ ★ ✩ ✢ ✥ ✣ ✬ ✢ ✸ ✢ ✢ ✣ ✸ ✬ ✰ ✸ ✧ ✢ ❥ ✩ ✦ ✰ ✢ ✮ ★ ✧ ✣ ✩ ✯ ✹ ✪ ✣ ✦ ✩ ✷ ✰ ✦ ✰ ✮ ✮ ★ ✣ ✯ ✪ ✦ ✩ ✰ ✮ ✏ ★ ★ ✯ ✸ ✳ ✩ ✵ ✩ ❵ ✩ ✮ ✰ ❛ ✱ ❜ ✪ ✪ ✯ ✩ ★ ✢ ✦ ✑ ✰ ✖ ✸ ✺ ✣ ✮ ✢ ✢ ✪ ❫ ✪ ✪ ✣ ✸ ✸ ❝ ✐ ★ ✷ ✸ ✵ ✓ ❏ ✷ ✣ ✦ ✦ ✮ ✯ ✹ ✎ ✧ ✥ ✢ ✧ ✢ ✸ ✖ ✦ ✩ ✪ ✷ ✣ ✯ ✪ ✬ ✗ ✩ ✣ ✥ ✸ ✬ ✕ ✰ ✫ ✢ ✮ ✣ ✢ ✱ ✣ ✸ ✰ ✣ ✢ ✰ ✳ ✪ ★ ❏ ✧ ✸ ✩ ✸ ✓ ✧ ✪ ✪ ✢ ✦ ✩ ✦ ✩ ✪ ✕ ✩ ✹ ✰ ✮ ✰ ✑ ✣ ✵ ✎ ✩ ✩ ✷ ✸ ✭ ✮ ✭ ✖ ✷ ✧ ✷ ✪ ✹ ✢ ✵ ✬ ✦ ✦ ✪ ✣ ✣ ✷ ✵ ✷ ✣ ★ ✣ ✵ ✴ ✢ ★ ✩ ✯ ✩ ✩ ✸ ✷ ❏ ✣ ✴ ❏ ✦ ✧ ❝ ✸ ✮ ✣ ❥ ✪ ✦ ✺ ❦ ✧ ✦ ✩ ✢ ✣ ✪ ✰ ✩ ✮ ✩ ✥ ✸ ✸ ✪ ✪ ✰ ✰ ✵ ✐ ✧ ✧ ✣ ✢ ✧ ✫ ✣ ✣ ✦ ✬ ★ ✦ ✸ ✰ ✪ ✵ ✢ ✮ ✮ ★ ✮ ✣ ✮ ✵ ✯ ✵ ✸ ✪ ✸ ✷ ✩ ✷ ✷ ✢ ✷ ✬ ✬ ✣ ✭ ✣ ✩ ★ ✢ ✢ ✣ ✢ ✣ ✦ ✰ ✯ ✭ ✯ ✩ ✩ ✷ ✢ ✢ ✥ ✫ ✧ ✮ ✣ ✣ ✦ ✩ ✧ ✧ ✰ ❞ ❞ ✦ ❡ ❡ ✰ ❢ ❢ ✪ ❣ ❣ ✵ ❤ ❤ ✣ ❡ ❡ ✫ ✮ ★ ✦ ✣ ✷ ✢ ✸ ✪ ✣ ✯ ✪ ★ ✦ ✦ ✰ ✰ ✩ ✺ ✺ ✢ ✪ ✪ ✪ ✵ ✐ ✵ ✣ ✣ ✰ ✰ ✰ ✸ ✸ ✸ ✯ ✩ ✰ ✣ ✯ ✸ ✢ ✢ ✣ ✪ ✵ ✪ ✫ ✣ ✹ ✦ ✯ ✯ ✩ ✢ ✩ ✢ ✩ ✫ ✶ ★ ♥ ★ ✦ ✷ ✷ ✐ ✦ ✣ ✮ ✭ ❥ ✪ ✪ ✢ ✢ ❧ ✩ ✣ ✯ ✧ ✰ ✶ ✣ ✺ ✰ ✸ ✪ ✮ ✰ ✵ ✦ ✯ ✪ ❧ ✵ ❝ ✮ ✩ ✢ ✷ ✢ ✣ ✥ ★ ✫ ✩ ★ ✢ ✪ ✪ ✣ ✮ ✪ ✢ ✫ ✮ ✪ ✪ ✵ ✵ ✪ ✣ ✦ ✯ ✣ ✣ ★ ✣ ✢ ✣ ✩ ✯ ✫ ✩ ✷ ✢ ✩ ✦ ★ ✺ ✪ ✢ ✰ ✦ ✢ ✷ ✧ ✣ ✯ ✣ ✸ ★ ✣ ✢ ✮ ✧ ✩ ✪ ✣ ✣ ✸ ✸ ✢ ✪ ♠ ✦ ✰ ✣ ✪ ✷ ✧ ✸ ✐ ✦ ✫ ✰ ✰ ✢ ✺ ✦ ✧ ✴ ✩ ✮ ✵ ✧ ✯ ✩ ✩ ✣ ✶ ✦ ✮ ✷ ✷ ✸ ✣ ✦ ✯ ✺ ✰ ✧ ✩ ✯ ✰ ✣ ✫ ♠ ✵ ★ ✮ ✩ ★ ✪ ✷ ✸ ✢ ✥ ✵ ✯ ✮ ✫ ✮ ✪ ✮ ✐ ★ ✦ ✩ ★ ✵ ✪ ✵ ✰ ✸ ✣ ✩ ✷ ✪ ✮ ✷ ✪ ✣ ✪ ✩ ✬ ✮ ♠ ✣ ✺ ✸ ✪ ✰ ✢ ✦ ✢ ✰ ✧ ✸ ✣ ✮ ★ ✮ ✯ ★ ✵ ✥ ✩ ✣ ✦ ✷ ✯ ✯ ✫ ✪ ✪ ★ ✧ ✮ ✣ ✢ ✩ ✪ ✧ ✣ ✯ ✩ ✮ ✬ ✥ ✮ ✬ ❝ ✫ ✦ ✣ ❏ ✸ ✣ ✣ ✦ ✰ ❵ ✰ ♦ ✪ ✮ ✯ ♣ ✸ ✪ ✷ ✪ ★ ✢ ✥ ✦ ✸ ✣ ✩ ✧ ✢ ✰ ✣ ✰ ✪ ✺ ✧ ✩ ❝ ✪ ✦ ✐ ✭ ✵ ✰ ✦ ✰ ✸ ✪ ✪ ✮ ✷ ✣ ✵ ✷ ★ ✮ ✣ ✣ ✫ ✪ ✫ ✯ ✮ ✣ ✦ ✪ ✸ ✮ ✢ ✦ ✮ ✩ ✵ ✣ ✥ ✰ ✸ ★ ✢ ✷ ✩ ✮ ✣ ✷ ✵ ✢ ✫ ✬ ✸ ✪ ✣ ✣ ✷ ✐ ✰ ✷ ★ ✪ ❏ ✢ ✮ ✣ ✩ ✸ ✢ ❏ ✷ ✦ ✦ ✭ ✧ ✩ ❝ ✣ ✰ ✧ ✸ ✺ ✰ ✸ ✹ ✯ ✮ ✵ ✦ ✪ ★ ✩ ✵ ✸ ✢ ✢ ✪ ✪ ✮ ✵ ✦ ✣ ✩ ❦ ✣ ✭ ♠ ✰ ✰ ✸ ✸ ★ ✩ ✮ ✪ ❴ ✦ ✰ ✮ ✪ ✸ ✷ ✷ ✵ ✣ ✣ ✧ ✷ ✸ ✦ ✯ ✰ ✸ ✯ ✷ ✵ ✸ ✩ ✰ ✢ ✯ ✢ ✵ ✩ ✩ ✧ ✢ ❏ ✣ ✢ ✦ ✭ ✦ ✯ ✸ ✪ ✦ ✩ ✰ ✵ ★ ✢ ★ ✵ ✥ ✩ ✣ ✣ ✩ ✷ ✷ ✮ ✮ ✷ ✦ ✷ ✥ ✣ ✪ ✯ ✪ ✷ ✸ ✦ ✧ ✰ ✪ ✣ ✷ ✣ ✮ ✮ ✮ ★ ✦ ✪ ✪ ✰ ✪ ✪ ✸ ✮ ✩ ✢ ✵ ✷ ✪ ✣ ♠ ✷ ✬ ✸ ✵ ✮ ✣ ✣ ✷ ✥ ✩ ✧ ✷ ✦ ✷ ✷ ✰ ✣ ✸ ✪ ✣ ✢ ✯ ✰ ✮ ✷ ✯ ✯ ✮ ✥ ✮ ✷ ✵ ✵ ✵ ✧ ✣ ✸ ✩ ✸ ✣ ✸ ✷ ✢ ✧ ✷ ✰ ✷ ✷ ✩ ✢ ✦ ✮ ✰ ✬ ✩ ✥ ✥ ✣ ✪ ✪ ✧ ✬ ✵ ✦ ✫ ✸ ❏ ✰ ✣ ✰ ✦ ✣ ✯ ✪ ✧ ✫ ✢ ✷ ✭ ✥ ✦ ✩ ✢ ✭ ✦ ✧ ✰ ✧ ✦ ✩ ✯ ✣ ✸ ✦ ✥ ✭ ✸ ✧ ✷ ✺ ✦ ✪ ✯ ✮ ✦ ✦ ✵ ✰ ✸ ✩ ✣ ✣ ✪ ✸ ✰ ✪ ✰ ✦ ✷ ✵ ✩ ✮ ✦ ✣ ✰ ✣ ✰ ✵ ✧ ✺ ✫ ✸ ✦ ♠ ✰ ✵ ✷ ✦ ✸ ✮ ✣ ✷ ✢ ✰ ★ ✷ ✬ ✣ ✧ ✦ ✣ ✣ ✯ ★ ✯ ✣ ✸ ✩ ★ ✪ ★ ✷ ✢ ✣ ✦ ✮ ✩ ✩ ✪ ✢ ✴ ✐ ✰ ✧ ✭ ❝ ✣ ✩ ✢ ✮ ✢ ✷ ✣ ✦ ✸ ✫ ★ ✺ ✬ ✩ ✣ ✰ ✣ ✧ ✢ ♠ ✷ ✪ ✪ ✦ ✸ ✰ ✩ ✐ ✰ ✺ ✢ ✧ ✐ ✤ ✢ ✮ ✥ ✣ ✵ ✣ ★ ✸ ✷ ✩ ✷ ✩ ✷ ✢ ✺ ✪ ✦ ✰ ✮ ✮ ✯ ♠ ✵ ✸ ✷ ✸ ✥ ✰ ✷ ✧ ✧ ✷ ✣ ✭ ✬ ★ ✦ ✣ ✰ ✵ ✸ ★ ✩ ✷ ✢ ✪ ✷ ✩ ✩ ✩ ❏ ❏ ✸ ✦ ✧ ✣ ✧ ✣ ✢ ✪ ✧ ✦ ✣ ✭ ✪ ✦ ✮ ✯ ✩ ✪ ✸ ✪ ✪ ✵ ✦ ✩ ✣ ✰ ✫ ✩ ✦ ✭ ✰ ✴ ✸ ❵ ❛ ✩ ❜ ✰ ★ ✸ ❴ ✮ ✢ ✦ ✪ ✪ ✣ ❝ ✯ ✭ ✦ ✩ ✣ ✷ ✷ ✧ ✧ ✺ ✯ ✸ ✣ ✷ ✢ ❏ ✪ ✸ ✦ ✭ ✰ ✦ ✣ ✦ ❦ ✧ ✦ ✰ ✹ ✺ ✣ ❏ ✷ ✣ ✧ ✢ ✦ ✦ ✰ ✭ ✮ ✦ ✯ ★ ✸ ✣ ✪ ✯ ✦ ✩ ✪ ✦ ✰ ✩ ✰ ✦ ✦ ✹ ✪ ✸ ✰ ✰ ✵ ✮ ✮ ✣ ✯ ✣ ★ ★ ✷ ✹ ✧ ✣ ✣ ✺ ✦ ✮ ✯ ✯ ✣ ✮ ✪ ✪ ✰ ✪ ✵ ✩ ✩ ✵ ✣ ✸ ✢ ✢ ✢ ✸ ✷ ✷ ✸ ✪ ✭ ❏ ✷ ✯ ✩ ✣ ✢ ✯ ✩ ✢ ✢ ✣ ✩ ✦ ✤ ✰ ✭ ✦ ✰ ✰ ✧ ✥ ❝ ✯ ✪ ✥ ✦ ✦ ✢ ✰ ✷ ✢ ✯ ✣ ✺ ✥ ✸ ✪ ✮ ✯ ✸ ✪ ✸ ✦ ✧ ✪ ✵ ✩ ❏ ✩ ✧ ✸ ✰ ✦ ✢ ✦ ✪ ✮ ✪ ✦ ✰ ✥ ✦ ✸ ✮ ✩ ✸ ✰ ✵ ✪ ✰ ✷ ❝ ✵ ✸ ✸ ✦ ✷ ✣ ✩ ✰ ✷ ✷ ✮ ✫ ✰ ✪ ★ ★ ❴ ✣ ✦ ✢ ✮ ✣ ✢ ✮ ✦ ✩ ✯ ✪ ✪ ✣ ❏ ✣ ✪ ✦ ★ ✰ ✦ ✦ ✩ ✧ ✯ ✩ ✺ ✢ ✣ ✩ ✰ ✸ ✪ ✷ ✹ ✩ ✢ ✐ ✧ ✣ ✢ ✭ ✺ ✦ ✸ ✰ ✪ ✸ ✷ ✪ ✩ ✷ ✷ ✣ ✪ ❏ ✰ ✭ ✣ ✸ ✦ ✧ ✰ ✣ ✸ ✷ ✦ ✰ ✦ ❦ ✰ ✧ ✧ ✦ ✰ ✪ ✹ ★ ✺ ✵ ✵ ✣ ✣ ✹ ✩ ✷ ✧ ✫ ✪ ✸ ✮ ✩ ✮ ✩ ✺ ✧ ✦ ✸ ✰ ✢ ✦ ★ ✭ ✸ ✸ ★ ✦ ✯ ✯ ★ ✷ ✸ ✯ ✦ ✵ ✣ ✪ ✩ ✦ ✧ ✯ ✦ ✩ ✢ ★ ✧ ✧ ✰ ✣ ✩ ✸ ✧ ✢ ✯ ✰ ✢ ✥ ✫ ✯ ✸ ✫ ✣ ✸ ✹ ✰ ✣ ✹ ✦ ✥ ✰ ✰ ✦ ✪ ✪ ✭ ✺ ✵ ✸ ✸ ✮ ✪ ✯ ✐ ✸ ✦ ✪ ✩ ✹ ✥ ✰ ✮ ✢ ✪ ✣ ✧ ✩ ✢ q ✐ ✪ q ✵ ✐ ✯ ✣ ✢ ✫ ✦ ✪ ✦ ✦ ✯ ✸ ✷ ✰ ✸ ✪ ✣ ✰ ✮ ✦ ✩ ✰ ✪ ✹ ✦ ✮ ✪ ❧ ★ ✷ ✥ ✫ ✬ ✧ ✣ ✷ ✦ ❏ ✣ ✢ ✸ ✬ ✷ ✣ ✮ ✦ ✢ ★ ✮ ✪ ✰ ✵ ✷ ★ ✣ ✮ ✥ ✣ ✣ ✤ ★ ✫ ✯ ✥ ✣ ✺ ✦ ✬ ✦ ✯ ✭ ✣ ✢ ✦ ✪ ✸ ✰ ✣ ✯ ✩ ✰ ✣ ✧ ✸ ✢ ✧ ✢ ❯ ✪ ✐ ✸ ✦ ❏ ✪ ✢ ✩ ✷ ✹ ✣ ✣ ✰ ✯ ✢ ★ ✶ ✷ ✸ ✹ ✷ ✸ ✸ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ☛❐✠❰Ð✝Ï☞ Ï❰❐✝ Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó ✸ Ñ ❙ ❖ ❖ ➴ ❍ ✿ ✿ ✻ ✻ ❅ ✽ Ò ✾ ✼ ✼ ❋ ❋ ❀ ✿ ➴ ◆ ❍ ❉ ❈ ✽ ✽ ✾ ✾ ❋ ➘ ✻ ❀ ❑ ✽ ❉ ✻ ❈ ❈ ❃ ✾ ❀ Ó ✼ ❈ ❀ ❀ ❅ ❃ ❖ ❋ ✾ ✽ ✾ ✻ ✿ Ô ❈ ❇ ✽ ❍ ✻ ❆ ✽ ✽ ❆ ❋ ❀ ✻ Ò ❋ ❅ ❉ ❉ ❉ ❊ ❃ ✻ ❈ ❒ ❀ ❅ ❅ ❀ ❀ ✽ ✿ ✾ ✾ ✾ ✾ ❃ ❮ ❊ ✼ ✻ ✾ ✾ ❀ ✽ ✽ ❅ ✾ ➴ ❅ ❉ ❇ ❀ ✿ ❂ ❂ ❍ ✾ ✼ ❰ ✻ ✾ ❅ ❂ ✾ ❅ ❀ ▲ ❖ ✿ ✿ ❍ ❄ ✾ ❑ ✿ ❋ ❀ ❀ ❀ ❊ ✻ ❋ ❉ ❉ ❅ ❉ ✼ ❉ ❃ ❊ ❑ ✻ ✻ ❀ ❋ ❈ ❋ ❃ ❑ ✻ ❍ ❅ ❀ ❃ ✽ ▼ ✿ ❉ ❳ ❑ ❀ ❍ ❅ ❆ ✿ ❀ ❍ ✽ ✾ ✻ ✻ ❀ ❀ ■ ❑ ✻ ❋ ✽ ❉ ❋ ❈ ❀ ✽ ◆ ❉ ❉ ❃ ✻ ❖ ✿ ❆ ✼ ▲ ✽ ✾ ✻ ❋ ❀ ▲ ✾ ✼ ❉ ✻ ✽ ✿ ❉ ❅ ✾ ✻ ❃ ❋ ✾ ❑ ✽ ✼ ❈ ❇ ❃ ✻ ❋ ❀ ❀ ✿ ❅ ❃ ❄ ❃ ✻ ❂ ❋ ❀ ❆ ❀ ❂ ❇ ❈ ❋ ❅ ❍ ❈ ❃ ❀ ❄ ✻ ❀ ❀ ❖ ❈ ❀ ✻ ✽ ❉ ❋ ✼ ❃ ✼ ✻ ❉ ❍ ❅ ❉ ✽ ✽ ✾ ▲ ❋ ❀ ✾ ✽ ❉ ❍ ❉ ❈ ❑ ❅ ❆ ❀ ❀ ❑ ❀ ❉ ❈ ✾ ❀ ❀ ■ ❈ ❃ ✽ ❉ ❆ ✿ ❃ ✾ ❋ ❋ ❉ ◆ ▲ ❅ ❈ ❄ ❂ ❂ ✽ ❀ ✾ ❀ ✽ ❂ ❋ ✾ ❂ ✾ ❑ ❋ ❂ ✽ ❋ ❀ ❅ ❋ ✾ ❍ ❉ ✽ ❉ ❀ ❉ ✻ ❅ ✾ ❈ ✼ ❆ ❑ ✽ ❉ ❋ ❀ ✻ ❋ ■ ✻ ❃ ❊ ✼ ❃ ❂ ❅ ❀ ✻ ❋ ❅ ✽ ❉ ✾ ✾ ✿ ❂ ❄ ❀ ▲ ❀ ❂ ❋ ✽ ❈ ❈ ✿ ❃ ❉ ❂ ▲ ❀ ❃ ❄ ❋ ✻ ❈ ✽ ✾ ❅ ✽ ❃ ✿ ✿ ✿ ◆ ❅ ❀ ❅ ✽ ❉ ❁ ✿ ✾ ❂ ✽ ✻ ❀ ❆ ❂ ✻ ✼ ❈ ▼ ❋ ✾ ❋ ■ ❋ ◆ ■ ❅ ❃ ❇ ❀ ❈ ❈ ❋ ❀ ✻ ✿ ❋ ❂ ❄ ✿ ✻ ❈ ✽ ■ ❊ ❋ ✼ ✽ ❈ ✾ ✻ ✽ ❀ ✿ ❉ ❀ ❀ ❅ ❈ ❅ ❈ ❑ ❈ ✻ ❉ ❀ ✽ ✻ ❑ ❈ ✽ ❉ ❋ ✽ ❑ ❋ ❇ ❀ ❉ ▼ ❋ ❉ ❊ ✽ ✾ ❂ ✻ ▲ ❈ ✽ ✻ ❖ ✼ ❅ ✻ ✽ ❉ ❉ ❀ ❋ ✼ ❃ ❆ ❈ ❀ ❊ ✶ ✹ ❖ ❖ ■ ❉ ❀ ✾ ❋ ✻ ◆ ✻ ❅ ❋ ❋ ✻ ✼ ❇ ❋ ❂ ✻ ✽ ✿ ❂ ✻ ❀ ❑ ✼ ✻ ✽ ❀ ❉ ✼ ✾ ❀ ❀ ❖ ❍ ❄ ✿ ✻ ✾ ✻ ❃ ✻ ❅ ✾ ❋ ❅ ❅ ✼ ✽ ✼ ✻ ❂ ▲ ✻ ❉ ❅ ❉ ❅ ❇ ❇ ❀ ❀ ❅ ■ ▼ ✻ ❂ ✻ ❅ ❃ ❉ ❂ ■ ✿ ❃ ❀ ✻ ✽ ✻ ❋ ❇ ❋ ❅ ✽ ❑ ❅ ❀ ❳ ❀ ❃ ❉ ✿ ❉ ❀ ❂ ✽ ❉ ✾ ✻ ✻ ✻ ✾ ✻ ❃ ✾ ✼ ❉ ✻ ❀ ❋ ▲ ✽ ❉ ❀ ■ ❀ ❅ ❉ ✽ ❃ ❉ ✽ ❉ ❇ ✾ ❀ ✾ ❅ ✾ ❆ ✿ ❋ ❋ ✾ ✿ ▲ ❉ ✽ ❂ ❆ ✼ ❇ ❂ ❍ ✿ ✽ ✿ ❊ ❇ ❄ ❅ ❉ ✾ ❋ ❀ ❋ ✽ ❈ ❀ ❀ ❂ ✽ ✾ ❉ ❇ ❊ ❈ ❂ ✽ ❈ ✽ ❉ ❉ ❈ ❉ ✽ ✿ ✾ ✽ ❄ ❆ ❉ ■ ❊ ✻ ✽ ❅ ✻ ✻ ✽ ❃ ❋ ✾ ✾ ❉ ✻ ❑ ❅ ✽ ❋ ▲ ❃ ✽ ✽ ✼ ❋ ✿ ✻ ❇ ❂ ❉ ✿ ❂ ❀ ❀ ✻ ❃ ✻ ✻ ✾ ❅ ❋ ✼ ✼ ❋ ❃ ❉ ✻ ✻ ❅ ✻ ❀ ❋ ❀ ✽ ❊ ❋ ✽ ✾ ❳ ❋ ✼ ❆ ✻ ▲ ❅ ✾ ❅ ❉ ❍ ■ ❉ ❂ ✽ ✻ ✽ ❋ ❂ ✻ ❋ ❃ ❋ ▼ ✽ ❆ ❀ ❉ ✽ ❍ ❅ ❋ ❑ ❊ ✼ ❈ ❃ ❨ ■ ✽ ❋ ✽ ❂ ✻ ✻ ✻ ❀ ❀ ❀ ❃ ✽ ❀ ❊ ✼ ◗ ❄ ✿ ✽ ❉ ❈ ✽ ❅ ❀ ❉ ❋ ✻ ✻ ✽ ❆ ❅ ✻ ❋ ❃ ✼ ❍ ✻ ✻ ▲ ❍ ✽ ✻ ❋ ❀ ❋ ❋ ✽ ✿ ✻ ❋ ❇ ❉ ❃ ❋ ❈ ❍ ❂ ❉ ❅ ✾ ❖ ❀ ✽ ❂ ❋ ✽ ❍ ✻ ❊ ✿ ❑ ■ ■ ✻ ❈ ❑ ❋ ✽ ❃ ✽ ✿ ❃ ❈ ❀ ❑ ✽ ✽ ❉ ❅ ❊ ❉ ❃ ❀ ❀ ✽ ❈ ❋ ✻ ✻ ❆ ✾ ✽ ❀ ✿ ✽ ❃ ❉ ❃ ❉ ❀ ✽ ❈ ❋ ❅ ❆ ✾ ❅ ❀ ✻ ❉ ✻ ❉ ✾ ➊ ❋ ❇ ✿ ◆ ✻ ✾ ✽ ❋ ❅ ■ ✻ ✽ ❀ ◗ ❋ ❖ ❉ ❉ ❋ ■ ❅ ❈ ❀ ✿ ❃ ▼ ✾ ❋ ❉ ❃ ✾ ❋ ❈ ❋ ❈ ❃ ❖ ■ ✾ ❉ ❅ ❀ ❉ ❆ ✻ ❃ ✼ ❉ ✻ ❃ ❊ ■ ✾ ❋ ✻ ❃ ❅ ❈ ❃ ✽ ❈ ▲ ❉ ✼ ❑ ❂ ❅ ✷ ❀ ✾ ❆ ❂ ❀ ❂ ✿ ✾ ❀ ✻ ❀ ✾ ✼ ✻ ❊ ❍ ❀ ❍ ❀ ❋ ❋ ❅ ✽ ■ ❀ ❅ ✾ ❊ ❂ ❃ ❈ ❂ ✻ ❂ ❑ ❈ ❀ ❃ ◆ ✾ ❅ ❋ ❑ ❃ ❅ ✼ ❉ ❄ ✽ ❂ ❀ ✻ ◆ ✽ ❅ ▼ ❀ ❅ ✻ ✼ ❂ ❃ ❂ ✿ ✾ ✽ ❉ ❈ ❂ ❅ ❖ ▲ ❋ ✽ ❊ ❆ ❀ ✿ ❉ ■ ❉ ▼ ❊ ✾ ✿ ❋ ❋ ✻ ❀ ❅ ❀ ❅ ❃ ✻ ❋ ✿ ❂ ✾ ❀ ✿ ✻ ❃ ❂ ✻ ✾ ✻ ✾ ❅ ✼ ❈ ✻ ▲ ❀ ❂ ❖ ❋ ✼ ❈ ✽ ✽ ❍ ❂ ❉ ❅ ❅ ❂ ✻ ❀ ❉ ❅ ❀ ✽ ✻ ❍ ❀ ❉ ✻ ▼ ✾ ❃ ❍ ✻ ✾ ✽ ▲ ❉ ❍ ❊ ❅ ❀ ✽ ❅ ✻ ❋ ❀ ✿ ❈ ❅ ❀ ❉ ❉ ❃ ✼ ✻ ❃ ✽ ❈ ❅ ✾ ❀ ❀ ❍ ❊ ✻ ❉ ❃ ❅ ❅ ❀ ❀ ❀ ✿ ❉ ❉ ✽ ❃ ❉ ❂ ❅ ❀ ❈ ▼ ▼ ❀ ✻ ❂ ▲ ❬ ❖ ❉ ❈ ❈ ❑ ✿ ✿ ✻ ❅ ✼ ▼ ❋ ❀ ❋ ❋ ❉ ✽ ❊ ❀ ✻ ❈ ✻ ❋ ❉ ❊ ❀ ✻ ❀ ❀ ✻ ❃ ■ ✿ ✼ ❃ ❈ ❃ ❃ ❃ ❈ ❋ ❀ ❍ ❅ ❀ ❖ ❋ ✽ ✾ ❉ ✿ ❉ ❀ ✽ ❨ ❉ ✻ ❋ ❅ ✻ ❀ ✾ ✿ ✾ ✽ ✻ ◆ ❉ ❋ ✿ ✻ ❀ ❀ ✻ ❆ ❃ ✻ ✾ ❉ ✽ ❍ ❋ ❅ ❀ ❖ ❊ ❅ ❃ ❉ ✽ ❃ ✾ ✾ ❃ ✽ ✻ ❊ ❀ ❇ ❋ ❀ ✽ ❊ ❉ ❃ ❅ ❑ ✾ ❍ ❀ ✾ ✾ ❀ ❉ ❲ ❃ ❇ ✿ ❋ ■ ✾ ✻ ❈ ❋ ❑ ❀ ❊ ■ ✼ ✻ ✾ ✿ ❉ ❋ ❋ ❀ ✿ ❀ ✻ ✻ ✻ ❉ ❉ ❋ ❋ ✾ ✽ ❃ ✽ ✻ ✾ ❋ ❆ ✾ ✼ ❃ ❅ ❇ ❉ ✽ ✻ ❑ ❀ ✽ ❉ ✿ ✽ ✻ ❆ ✾ ❂ ❀ ✾ ❀ ❀ ✻ ✷ ❀ ✽ ✻ ✿ ❉ ✿ ❋ ❀ ❃ ❅ ❃ ❍ ✼ ❃ ❊ ✽ ✾ ❂ ❀ ❀ ❋ ✾ ❖ ✽ ❲ ❈ ❈ ❈ ➹ ❘ ❃ ✾ ✾ ❇ ❙ ❀ ✽ ✻ ✿ ❇ ✼ ❀ ✾ ❊ ❂ ✾ ❋ ❀ ❉ ❋ ❅ ✽ ✻ ✽ ❆ ❉ ❅ ❂ ❆ ❅ ❃ ❅ ✾ ❉ ✻ ❂ ❑ ❅ ❉ ❃ ✾ ❍ ▲ ❑ ❂ ❆ ❈ ❋ ❅ ✽ ❋ ❀ ❉ ❀ ✽ ✿ ✿ ❉ ❀ ❈ ✿ ■ ✻ ❆ ❉ ✽ ❂ ❊ ❅ ✽ ❃ ❊ ❋ ❇ ✾ ❋ ✻ ❋ ✽ ❅ ❃ ✿ ❈ ❇ ❀ ❃ ❄ ❅ ❃ ❈ ✽ ❍ ❉ ✾ ✻ ✽ ❈ ❀ ❆ ❇ ◆ ❋ ✼ ✽ ❀ ❋ ■ ✾ ❈ ❅ ❍ ❈ ✽ ❉ ✻ ❃ ❀ ❂ ✽ ✼ ❅ ❊ ✻ ❋ ❂ ✽ ❉ ✽ ❋ ✽ ✿ ❉ ■ ✻ ❅ ✾ ■ ✼ ❅ ❀ ✻ ❉ ✻ ■ ❃ ❀ ✻ ❃ ❀ ❈ ✼ ❀ ❋ ❉ ✽ ❀ ❋ ✾ ✿ ❈ ❄ ❅ ❇ ❉ ❍ ✻ ❋ ❀ ❉ ✽ ❈ ❑ ❉ ❀ ✽ ✿ ❋ ✿ ❀ ✽ ✾ ❀ ❉ ❆ ❇ ❉ ❀ ✻ ✻ ✾ ❍ ✽ ▲ ❉ ❈ ✿ ✾ ✽ ■ ✻ ❃ ❀ ❀ ❋ ❋ ✼ ❇ ❀ ❀ ❉ ❀ ❃ ❀ ✿ ✿ ✻ ✻ ■ ✻ ❃ ✿ ✼ ❇ ✻ ✽ ❅ ❅ ❋ ✾ ❖ ❋ ❁ ❀ ❍ ✻ ✻ ❉ ✽ ❃ ❂ ❃ ❀ ❃ ✽ ❋ P ✽ ❅ ✾ ❋ ❉ ❀ ✽ ❉ ❉ ❅ ❉ ✻ ✻ ❃ ❉ ✻ ✿ ❈ ❅ ❖ ❆ ✽ ✽ ✾ ❆ ❂ ✻ ✻ ✻ ❃ ❇ ❃ ✽ ✽ ❉ ✼ ✼ ❋ ❀ ❈ ❀ ❅ ❀ ✾ ❉ ■ ✽ ✻ ❉ ❂ ▲ ❂ ❅ ✻ ❆ ❍ ❅ ✻ ✽ ✽ ❉ ✿ ❈ ❍ ❋ ❇ ❃ ❀ ❀ ❀ ❀ ✾ ❀ ❈ ❍ ✾ ❀ ✻ ❲ ❈ ❋ ❉ ✽ ❀ ❆ ✻ ❑ ❀ ❊ ❉ ❆ ✼ ❉ ❀ ✾ ✻ ❃ ✽ ❅ ❉ ✽ ▲ ❃ ❆ ❋ ◆ ✿ ❀ ✾ ❀ ❉ ❇ ❀ ❃ ✼ ❅ ❄ ❆ ❃ ✿ ❅ ❃ ✽ ✻ ✽ ❀ ✼ ❋ ❂ ❈ ❀ ◆ ❂ ❊ ❋ ✾ ❃ ❋ ✻ ❀ ❇ ❑ ✻ ✽ ❅ ❋ ❃ ❈ ✾ ❀ ✻ ❖ ❭ ❖ ❃ ❂ ❋ ✾ ❅ ■ ✽ ❀ ❇ ❊ ❍ ❀ ✾ ❊ ✻ ✽ ✻ ✿ ■ ✼ ✽ ✿ ❀ ❋ ❋ ✽ ❅ ✽ ❈ ❅ ❉ ❃ ❂ ❂ ✾ ✻ ✽ ▲ ✻ ✽ ❉ ❋ ✽ ❑ ▼ ✾ ✾ ▲ ❂ ■ ❖ ■ ❀ ✻ ❀ ✽ ❀ ❊ ✼ ✿ ❊ ✿ ❋ ❋ ✽ ❃ ❅ ✻ ✾ ❃ ❂ ❀ ✽ ❀ ❋ ● ❈ ❉ ✽ ❉ ❂ ❇ ❀ ✾ ✾ ✽ ✻ ✾ ✽ ❃ ➶ ■ ❀ ✻ ❇ ❀ ❀ ❃ ❀ ❈ ❉ ✿ ❍ ❈ ❂ ✻ ❀ ✽ ❑ ❉ ✽ ✽ ❉ ❋ ✾ ▼ ✽ ❉ ❉ ✾ ✾ ❆ ✾ ✻ ❀ ❋ ✼ ✿ ✽ ❅ ✻ ❊ ❀ ✻ ❉ ✼ ❅ ✽ ❈ ❀ ❋ ❨ ❉ ❇ ❃ ❉ ▼ ✻ ❃ ◆ ❀ ✾ ✶ ✽ ✾ ✽ ✾ ✾ ■ ❙ ❈ ✸ ✻ ❀ ❀ ✾ ❖ ✽ ✿ ✿ ❙ ✾ ✻ ✽ P ❅ ❅ ■ ✽ ✽ ❑ ❃ ❂ ❋ ❀ ✿ ❀ ✿ ❉ ✽ ❉ ▲ ✽ ❊ ✾ ✾ ❉ ✻ ❀ ✽ ■ ❋ ❀ ✼ ✿ ❀ ❈ ✻ ❀ ✻ ✿ ◆ ❃ ✽ ✻ ❋ ✿ ❀ ✽ ❉ ❋ ✽ ✻ ❋ ● ❉ ✼ ❉ ❇ ❙ ✾ ✽ Õ ❉ ✻ ✽ ❃ ➹ ❃ ❅ ✹ ❀ ✻ ❃ ❅ ❖ ✼ ❈ ✸ ✿ ❀ ▲ ❀ ✻ ❊ ❃ ❀ ❋ ■ ❋ ❀ ❳ ❃ ❂ ❃ ● ✿ ❅ ❇ ❀ ❉ ✾ ❆ ■ ✽ ✼ ✾ ❃ ❃ ✻ ❅ ❀ ❋ ❋ ✽ ❋ ❂ ❈ ❇ ❃ ❂ ❉ ■ ❑ ❃ ❑ ▼ ✸ ❇ ❀ ❘ ❀ ✻ ❖ ● ✼ ❋ ❃ ✿ ❇ ❀ ✿ ❀ ❋ ✽ ❃ ✿ ❨ ✾ ❉ ❀ ❇ ❇ ■ ✻ ❈ ❃ ■ ❋ ❃ ❅ ✽ ❉ ✾ ❅ ❑ ❉ ❈ ✾ ✿ ▼ ✿ ✻ ✽ ✽ ❑ ✿ ✻ ❋ ✽ ❀ ❂ ✻ ✼ ❃ ✾ ❀ ❀ ✽ ❋ ▲ ✾ ❉ ❊ ❑ ❑ ✼ ❋ ❇ ❇ ✼ ❅ ❃ ✻ ✽ ❅ ❂ ❂ ❈ ❄ ❂ ❉ ✻ ✽ ✽ ❉ ❉ ❋ ✼ ❑ ❆ ❆ ❀ ❀ ✻ Ö Õ ❖ ❖ ✿ ✿ ❆ ✿ ✿ ❅ ❅ ✽ ✽ ✽ ✾ ❉ ❉ ❋ ✿ ❋ ❂ ❅ ❋ ■ ✾ ✾ ✻ ❂ ✾ ❁ ❈ ❉ ❉ ❋ ✻ ✻ ✼ ❀ ❉ ✿ ✻ ❅ ✾ ❅ ❃ ❀ ✻ ✾ ❃ ❋ ❂ ✻ ❋ ❂ ❈ ✼ ▲ ❂ ❂ ❃ ❃ ❅ ◆ ❉ ✽ ❅ ✾ ❉ ❅ ❅ ❀ ✿ ❇ ✻ ❂ ✻ ■ ✻ ✻ ❅ ✾ ✻ ✿ ❃ ❀ ❀ ✻ ✽ ✽ ■ ❋ ✻ ❋ ❋ ✻ ❅ ❈ ✿ ✽ ✼ ❋ ❋ ❃ ❉ ❉ ✿ ✽ ❆ ❋ ✽ ❀ ❅ ❉ ❉ ✻ ❍ ✻ ❉ ❋ ▼ ❂ ✾ ❋ ■ ❋ ❅ ❀ ❊ ❃ ❆ ❃ ✽ ✼ ✽ ❑ ❉ ❉ ❉ ■ ✻ ❋ ✾ ❇ ❅ ✾ ✽ ❈ ✻ ❂ ✼ ❃ ✿ ❄ ■ ✽ ❅ ❈ ✽ ❀ ❋ ✻ ❍ ✾ ❀ ❀ ❀ ❉ ❀ ▼ ❄ ✿ ❈ ■ ❇ ✿ ❂ ❈ ❋ ✼ ❃ ❋ ✽ ❇ ✾ ❈ ✻ ✽ ❉ ❑ ❀ ❋ ✻ ❂ ❃ ❊ ❀ ✽ ❋ ✻ ❀ ❋ ❈ ■ ❀ ✻ ❋ ✻ ❅ ❉ ✾ ❇ ◆ ❋ ✾ ✼ ✼ ✿ ▲ ✾ ✽ ❉ ❂ ✾ ❀ ❀ ✿ ❅ ✽ ✾ ❀ ✽ ❇ ❍ ❀ ❉ ❃ ❂ ❆ ❇ ❈ ✾ ❈ ❆ ❇ ❈ ❂ ❃ ❀ ✻ ▲ ❀ ✾ ❋ ❂ ❉ ❋ ✾ ✽ ❇ ❈ ❀ ✻ ■ ❋ ✿ ❀ ❊ ❉ ✽ ❃ ✻ ❃ ❇ ❅ ❑ ❃ ❋ ❈ ❀ ✻ ❈ ❍ ❀ ✽ ✿ ❋ ❅ ❀ ❉ ✼ ❋ ❅ ✽ ❀ ❂ ❃ ✿ ❉ ❃ ❀ ❉ ❉ ❉ ❆ ❋ ✿ ✾ ✾ ✻ ✾ ❈ ✻ ✻ ❋ ✻ ❍ ✽ ❋ ✻ ■ ❅ ❃ ✽ ✾ ❅ ❉ ■ ✻ ❀ ❀ ✻ ❅ ❉ ❑ ✻ ❂ ❋ ❑ ▲ ✿ ✽ ✿ ❋ ❈ ❀ ❀ ❃ ▼ ◆ ❅ ✻ ✽ ❅ ❆ ▲ ✻ ❉ ❅ ❋ ❋ ❉ ❀ ❀ ❂ ❅ ✿ ✽ ❊ ❉ ❃ ✻ ❈ ❃ ❈ ❉ ✻ ❋ ✽ ❉ ✼ ❉ ✾ ❈ ❋ ■ ✾ ❃ ❀ ✾ ■ ✽ ❉ ❃ ❍ ❃ ❅ ◆ ❃ ■ ❃ ✻ ❆ ❊ ❇ ✽ ❀ ✻ ✾ ❋ ❋ ✼ ❀ ✽ ❂ ✾ ❋ ✿ ✿ ❀ ❃ ■ ❅ ✻ ❂ ✻ ✻ ❋ ❋ ❉ ▼ ❋ ❋ ✻ ❊ ✽ ❅ ❋ ❉ ✾ ❈ ❋ ❑ ◆ ❋ ■ ✿ ✾ ❀ ❉ ✻ ❃ ❂ ✽ ❊ ❉ ❁ ✾ ✻ ❈ ❅ ✾ ❂ ❋ ❀ ❃ ✽ ❉ ❉ ❋ ✽ ❑ ❉ ◆ ❃ ✿ ❇ ❋ ❍ ❅ ❀ ◆ ❀ ✻ ✿ ❂ ◆ ✽ ❋ ▼ ❅ ✻ ❈ ✼ ✻ ❋ ✼ ❉ ✻ ❈ ❂ ✽ ❉ ❇ ✽ ✽ ✼ ❀ ❈ ✾ ❋ ❉ ✽ ✾ ✻ ❊ ❃ ❀ ❈ ❈ ❉ ✼ ❈ ■ ❆ ✽ ❀ ✿ ❆ ❀ ❀ ❋ ❖ ❋ ✻ ■ ✾ ❅ ❀ ✿ ✽ ✼ ✿ ❈ ✻ ▲ ◆ ❀ ✻ ✻ ❀ ❇ ❅ ❉ ✽ ✽ ❋ ❉ ❉ ❋ ✽ ✾ ✽ ❂ ❍ ❋ ❆ ✾ ❀ ❉ ❉ ❂ ◆ ✿ ❉ ❀ ✻ ❃ ✽ ✾ ❉ ✿ ❉ ■ ✼ ❋ ❃ ❅ ❀ ✾ ❋ ❃ ✻ ❀ ■ ✽ ■ ❈ ❀ ✻ ✻ ❅ ❍ ❋ ❀ ■ ❀ ❃ ❃ ❅ ✽ ❉ ✻ ■ ❈ ❃ ✾ ❋ ❉ ❀ ❆ ✽ ❋ ❅ ❇ ❋ ❋ ✿ ✾ ❈ ❊ ❉ ❊ ✿ ❉ ❃ ❄ ✻ ■ ❅ ✻ ▼ ✻ ❋ ❅ ❃ ❋ ❃ ✽ ❊ ✼ ❑ ❂ ❂ ❀ ❉ ❃ ❈ ❂ ❀ ❀ ✻ ❀ ❖ ✿ ❋ ✾ ✾ ✽ ✾ ❈ ✼ ❍ ✻ ❋ ❀ ❍ ✽ ❀ ❑ ❖ ✻ ❋ ✽ ✻ ❃ ❀ ❈ ❃ ✽ ❊ ❋ ❂ ❂ ❅ ❈ ❃ ❃ ❋ ❀ ✻ ✽ ◆ ✻ ■ ❖ ✼ ❅ ✿ ◆ ▼ ✽ ❋ ❃ ✽ ❉ ❉ ❀ ◆ ❀ ❀ ❉ ❅ ❀ ❅ ❋ ✽ ✻ ■ ❃ ✽ ✿ ✾ ❃ ❉ ❈ ❊ ✼ ✻ ✻ ❆ ✻ ❅ ❅ ❅ ❋ ✻ ✽ ✾ ✿ ✽ ❉ ❉ ❉ ❀ ❋ ✼ ✾ ❀ ❖ ❃ ❈ ❈ ❈ ❀ ❀ ❊ ▲ × ❙ ❙ ➹ ❙ ❖ ❖ ❖ ❁ ✾ ❋ ✿ ✾ ✿ ✿ ✾ ✾ ❉ ✻ ✻ ✻ ❇ ❀ ❋ ❀ ❊ ❃ ❃ ❃ ❋ ❅ ❃ ❑ ❉ ✻ ❇ ❇ ❇ ✾ ✿ ✻ ◆ ✻ ✼ ✿ ❀ ✿ ✿ ❋ ❃ ✽ ❀ ❊ ❂ ✻ ✻ ✻ ❅ ❉ ❀ ❋ ✽ ✿ ◆ ❇ ❇ ❇ ✿ ✻ ❈ ■ ❅ ❃ ❃ ❃ ❋ ❃ ✻ ❆ ❀ ✻ ❀ ❀ ❅ ❋ ❅ ❃ ❀ ❃ ✽ ✾ ❂ ❋ ✿ ❃ ❁ ❅ ❅ ❉ ❅ ✻ ❑ ❅ ❖ ✻ ✾ ❋ ■ ✾ ❂ ❍ ❉ ✽ ✼ ❋ ■ ❀ ❃ ❈ ✻ ❋ ❅ ❉ ❀ ✾ ❋ ❂ ❈ ✾ ✾ ❅ ◆ ❂ P ✻ ✼ ✽ ❃ ❋ ❊ ❅ ■ ❋ ✼ ❅ ✾ ❉ ✽ ❉ ✿ ❀ ❀ ❃ ❂ ❈ ❅ ❃ ✾ ❂ ❁ ✻ ❋ ✻ ❇ ❊ ❉ ❍ ❋ ❑ ◆ ✽ ❋ ❑ ❋ ❋ ❀ ❀ ✿ ❉ ❃ ❉ ✻ ❉ ❑ ❃ ❋ ❀ ❍ ✽ ❀ ❊ ❀ ❃ ❉ ▼ ❅ ◆ ◆ ✾ ✻ ❅ ❂ ❀ ■ ❋ ❃ ❋ ✽ ❉ ❂ ✻ ❉ ❋ ❅ ◆ ❃ ✼ ❈ ◆ ❈ ❉ ✿ ❁ ❉ ❅ ✾ ❀ ✻ ❋ ❀ ✿ ❉ ❉ ❋ ✽ ❃ ❑ ❃ ❋ ✾ ❆ ❆ ❃ ❂ ❁ ■ ❉ ❀ ❅ ❀ ✽ ❉ ❂ ❀ ❃ ✽ ❉ ✾ ❉ ❀ ✻ ❀ ✿ ✻ ❀ ❈ ✻ ❋ ❀ ✾ ❃ ❈ ✽ ❊ ✻ ❃ ❀ ❇ ❇ ■ ❀ ❖ ✽ ❀ ❉ ✿ ❖ ✿ ❃ ❃ ❈ ❆ ■ ✼ ✻ ❋ ✼ ❃ ✽ ✽ ❉ ❀ ❅ ■ ❋ ❋ ❋ ❀ ❅ ❀ ❉ ❍ ■ ❀ ❈ ❃ ❉ ❀ ❅ ❃ ❘ ❂ ❃ ❀ ❉ ▼ ❅ ❳ ❂ ✽ ✻ ❉ ❉ ❍ ❃ ▼ ■ ✼ ❀ ❈ ❍ ❀ ❀ ❀ ❃ ❀ ■ ❈ ❃ ❑ ✾ ❅ ❈ ❅ ❀ ❃ ❀ ✽ ❀ ✾ ❂ ✽ ✽ ❅ ❃ ❅ ❉ ✽ ✿ ✻ ❄ ✻ ✿ ■ ❅ ❋ ❀ ❀ ❀ ❀ ❂ ❉ ❃ ❂ ❅ ■ ❖ ▼ ▼ ❅ ❉ ❃ ✽ ✻ ❉ ❈ ✾ ✽ ✻ ❋ ❊ ✻ ❈ ❅ ✼ ✻ ✻ ❋ ❍ ❀ ❀ ✾ ✼ ❅ ✾ ✿ ✻ ✼ ❀ ❆ ❇ ✼ ✻ ✿ ❅ ✾ ■ ❀ ❀ ❋ ❂ ✻ ❅ ■ ❂ ✼ ❋ ❉ ✻ ❊ ❋ ✼ ❀ ✻ ◆ ❀ ❃ ❃ ❅ ❑ ✻ ❀ ❉ ✻ ✻ ❅ ❀ ▼ ❳ ❀ ✿ ❋ ❃ ✽ ❋ ✾ ✾ ✻ ✿ ❅ ✻ ✻ ❃ ❋ ❅ ✿ ❃ ✿ ✽ ❉ ❉ ❃ ✽ ❇ ❇ ❉ ✿ ❈ ❆ ❃ ✻ ✿ ❋ ✾ ❆ ❀ ❅ ✾ ✻ ❍ ✼ ❆ ■ ❉ ❇ ■ ❅ ❅ ❈ ❈ ❃ ❃ ❂ ✾ ❂ ❀ ❖ ✽ ✽ ✻ ❅ ❂ ✾ ❅ ▼ ❈ ✼ ❑ ❃ ❨ ❀ ✾ ❋ ❀ ❅ ❀ ❈ ❇ ❊ ❊ ✿ ✾ ❑ ❋ ❀ ✻ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ☞☞✝❐✟✝✝Ï ❘☛✡❮ ❒❐✡✠❒✟❒✞✝✆ ❙✞❰Ð✠Ï☛✝ ❰❮ Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó ✶ ✷ ✸ ✹ ✷ ✸ ✸ ❍ ❀ ✻ ❍ ▼ ■ ❑ ❀ ❀ ❃ ❀ ❂ ❀ ❄ ❅ ✻ ✽ ❋ ❉ ❀ ❳ ✽ ✾ ✻ ✽ ❉ ❆ ❍ ❚ ❀ ❍ ❯ ❑ ❱ ❀ ❃ ❲ ❳ ❲ ❨ ❉ ❀ ❩ ◆ ❬ ❍ ❀ ❲ ❯ ❍ ❑ ❭ ❀ ❃ ❪ ❨ ❈ ❫ ❃ ❀ ❀ ✻ ❴ ❊ ❅ ❀ ✽ ❱ ❂ ❃ ✷ ✾ ❀ ❵ ✼ ❉ ❀ ✿ ❛ ❀ ❀ ❴ ✻ ❉ ❋ ✻ ❀ ✾ ✼ ❋ ❃ ✽ ◗ ❋ ❉ ✻ ❅ ❂ ✾ Ö Õ ❱ ❲ ➹ ❜ ❝ ❇ ❉ ✽ ❲ ✾ ✻ ❃ ❇ ✻ ❂ ✹ ❞ ✹ ❞ ✶ ✷ Ö ✾ ✼ ❀ ❀ ✾ ✻ ❲ ✾ ➹ ✶ ✾ ❲ ➹ ✸ ❡ ❃ ✼ ❀ ❋ ■ ❃ ❂ ✽ ◗ ❅ ❋ ✿ ❉ ❀ ✻ ❀ ❅ ❳ ❂ ✽ ✾ ✾ ✻ ◆ ✽ ❉ ✽ ✻ ❆ ✼ ❇ ❉ ❉ ❀ ✽ ◆ ❲ ✾ ✻ ❅ ❃ ❉ ❇ ❆ ✻ ❂ ❀ ❍ ❀ ❍ ❑ ❀ ❃ ✾ ❖ ❢ ❣ ❤ ✐ ❥ ❉ ❖ ✻ ❖ ✾ ❖ ✾ ❲ ❅ ➹ ✸ ✾ ❲ ❑ ➹ ✸ ✻ ▼ ■ ❖ ❀ ❳ ✽ ✾ ✻ ✽ ❉ ❆ ❃ ❋ ❋ ❊ ✻ ❋ ■ ❀ ❀ P ◆ ✻ ❳ ❳ ▼ ❅ ✽ ✽ ✾ ✾ ■ ❂ ❂ ✻ ✻ ❖ ❘ ✽ ✽ ❉ ❉ ❆ ❆ ✾ ✼ ✿ ❄ ❃ ❅ ✿ ❀ ❀ ❇ ❉ ❉ ✽ ✻ ❀ ◆ ❳ ❅ ✽ ✾ ❂ ❂ ✻ ✽ ❁ ❉ ❆ ✽ ✿ ❁ ✾ ❀ ✿ ❃ ❃ ✾ ❀ ❀ P ✻ ❉ ▼ ■ ❖ ❘ ❑ ❍ ❃ ❇ ✾ ◆ ✷ ❀ ❀ ❉ ❀ ✾ ✽ ✻ ✿ ■ ❍ ❲ ✽ ❲ ✼ ➹ ❂ ✾ ✻ ❑ ❅ ✻ ✽ ❉ ❋ ❀ ✿ ❃ ❀ ❃ ❉ ❀ ❇ ◆ ✾ ✾ ✻ ❀ ▲ ❅ ❅ ✾ ❳ ❑ ✷ ❉ ❀ ❃ ✾ ✽ ✾ ❆ ❀ ❲ ❅ ✻ ➹ ❂ ✿ ✸ ✽ ❉ ❀ ✽ ❉ ❡ ❆ ❆ ✸ ✾ ❅ ❀ ❂ ✿ ■ ✻ ✼ ❋ ❅ ❃ ✾ ❀ ❑ ✿ ❀ ✻ ✻ ❋ ❅ ❃ ✾ ❆ ❀ ❅ ✿ ❍ ✻ ❍ ❋ ❅ ❃ ❉ ✸ ❙ ❖ ❋ ❖ ✻ ❀ ✿ ❅ ❂ ❋ ➶ ❂ ❉ ❍ ✻ ❃ ❅ ❅ ✻ ✿ ❀ ❃ ✻ ❋ ✽ ❅ ❃ ❂ ✾ ❃ ✼ ❀ ❅ ❍ ❂ ❋ ❂ ❄ ✻ ❀ ❀ ❈ ❍ ❊ ■ ❃ ❋ ❋ ❃ ❍ ❅ ❂ ✻ ✽ ✼ ✻ ▼ ❀ ✾ ✻ ❇ ❋ ■ ◆ ■ ❀ ❋ ❃ ❃ ✾ ✻ ✼ ❀ ❅ ❳ ❂ ✽ ❂ ✾ ✻ ❑ ✽ ❀ ❉ ❆ ❈ ✽ ❀ ✾ ● ■ ❇ ❋ ✾ ✽ ■ ❀ ❍ ❈ ❀ ❋ ❉ ✻ ❊ ❑ ❈ ▼ ❇ ❃ ✻ ✼ ✽ ❉ ❀ ❆ ✿ ✽ ❉ ❋ ✾ ❉ ✻ ✻ ❅ ❃ ❂ ❅ ❂ ✿ ❅ ✻ ✻ ❋ ✽ ❋ ❃ ❉ ❋ ❋ ❊ ❊ ❊ ❉ ✾ ❀ ✽ ✻ ◆ ❀ ❖ ❍ ❋ ❈ ✽ ❊ ✽ ✿ ❅ ✻ ✽ ❋ ❉ ✾ ❖ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ❒❐✡✠❒✟❒✞✝✆ ☛✝❒❐✠❰Ï☛✝ Ï Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó ✶ ✷ ✸ ✹ ✷ ✸ ✸ ✾ ♦ ❲ ➹ ✸ ✾ ❧ ✿ ♠ ❅ ❂ ❧ ❀ ♥ ➶ ✶ ✷ ♦ Ö ❜ ♣ ❦ ❙ q ❱ ❲ r ➹ ❜ s ✾ t ❲ ➹ ✸ ✾ ❧ ✿ ♠ ❅ ❂ ❧ ❀ ♥ ➶ ✶ ✷ ♦ Ö ❜ ♣ ❦ ❙ q ❱ ❲ r ➹ ❜ s ✾ ❲ ✿ ➹ ✶ ✾ ❲ ✿ ➹ ✶ ✻ ▼ ■ ❖ ✻ ▼ ■ ❖ ✸ P ✸ ❊ ❱ ❲ ❖ ❄ ✹ ❜ ❖ ❘ ❝ ❙ P ❊ ❙ ❱ ❲ ❖ ❄ Ö ❜ ❖ ❘ ❝ ✻ ▼ ■ ❖ ✾ ❲ ❈ ➹ ✶ ✻ ▼ ■ ❖ ✾ ❲ ❈ ➹ ✶ ✻ ❭ ▼ ❜ ■ ❖ ❊ ❖ ❄ ❊ ❖ ❄ ✻ ❭ ▼ ❜ ■ ❖ ✸ ❱ ❲ P Ö ❊ ❜ ❖ ❄ ✻ ▼ ❖ ❘ ■ ❖ ❊ ❖ ❄ ❊ ❖ ❄ ❃ ❀ ❃ ❑ ❍ ❍ ✾ ❋ ❳ ❃ ✼ ❀ ❀ ❃ ❀ ❋ ■ ● ❅ ❀ ✽ ❍ ❈ ❈ ✾ ❂ ✿ ❀ ❇ ❀ ✻ ❑ ✽ ❅ ❊ ✻ ❃ ✽ ❀ ✽ ✽ ❉ ❉ ❃ ✿ ✽ ✿ ✾ ❃ ❆ ✽ ❆ ❀ ❉ ❀ ❅ ❲ ✾ ❈ ❆ ➹ ◆ ✻ ✼ ❀ P ❙ ❂ ❳ ✽ ✾ ✻ ❍ ❋ ✽ ❊ ✻ ❀ ▼ ✾ ✽ ❅ ❉ ✾ ❋ ✼ ❉ ■ ✻ ✻ ❃ ❆ ✾ ❉ ❖ ❀ ❘ ✽ ❉ ▲ ✿ ✻ ❀ ✾ ❃ ✾ ❆ ✼ ✼ ◆ ✽ ✽ ◗ ❀ ❅ ❀ ❇ ■ ❀ ❀ ❂ ❅ ❈ ❃ ❉ ❘ P ❉ ❇ ❊ ✽ ✽ ❋ ❲ ❆ ❂ ✾ ❖ ❄ ❀ ❃ ❂ ✻ ❖ ❀ ❃ ❋ ✻ ❇ ❋ ❉ ✻ ❀ P ◆ ✻ ❳ ▼ ❅ ✽ ✾ ■ ❂ ❂ ✻ ❖ ❋ ✽ ✿ ❉ ❊ ❋ ❆ ✹ ❂ ■ ❘ ❇ ✸ ❍ ✾ ❉ ✹ ✻ ❞ P ❈ ✻ ✹ ▼ ❞ ■ ❙ ■ ✽ ✷ ■ ✹ ❖ ❘ ❀ ✾ ❍ ✿ ❋ ❃ ❀ ❇ ❀ ❉ ❉ ✻ ❀ ✼ ❳ ❋ ✽ ❃ ✾ ✻ ✽ ◗ ✽ ❋ ❉ ❆ ❉ ✻ ✾ ❅ ✿ ❂ ❃ ✾ ❀ P ✻ ❀ ▼ ❉ ■ ◆ ❖ ❘ ❅ ❂ ❂ ❀ ❳ ✽ ✾ ✻ ✽ ❉ ❆ ✾ ✿ ❃ ❀ ❀ ❉ ◆ ❅ ❂ ❂ P ✻ ▼ ■ ❖ ❘ ❃ ❃ ❑ ❍ ❀ ❍ ✾ ❋ ❃ ❳ ✼ ❀ ❀ ❃ ❀ ❋ ● ■ ❅ ❀ ✽ ❍ ❈ ❈ ✾ ❂ ✿ ❀ ❇ ❀ ✻ ❑ ✽ ❅ ❊ ✻ ❃ ✽ ❀ ✽ ✽ ❉ ❃ ❉ ✿ ✽ ✿ ✾ ❃ ❆ ✽ ❀ ❆ ❉ ❀ ❅ ❲ ✾ ❈ ❆ ➹ ◆ ✻ ✼ ❀ P ❙ ❂ ❳ ✽ ✾ ✻ ❍ ❋ ✽ ❊ ✻ ❀ ▼ ✾ ✽ ❅ ❉ ✾ ❋ ✼ ❉ ■ ✻ ✻ ❃ ❆ ✾ ❉ ❖ ❀ ❘ ✽ ❉ ▲ ✿ ✻ ❀ ✾ ❃ ✾ ❆ ✼ ✼ ◆ ✽ ✽ ◗ ❀ ❅ ❀ ■ ❇ ❀ ❀ ❂ ❅ ❈ ❃ ❉ ❘ P ❉ ❇ ❊ ✽ ✽ ❋ ❲ ❆ ❂ ✾ ❖ ❄ ❃ ❀ ❂ ✻ ❖ ❀ ❃ ❋ ✻ ❇ ❋ ❉ ✻ ❀ P ◆ ✻ ❳ ▼ ❅ ✽ ✾ ■ ❂ ❂ ✻ ❖ ❋ ✽ ✿ ❉ ❊ ❋ ❆ ✶ ❂ ■ ❘ ❇ ✸ ❍ ✾ ❉ ✻ ✹ P ❈ ❞ ✻ ✹ ▼ ■ ❞ ■ ❙ ✽ ■ ✷ ❖ ❘ ✹ ❀ ✾ ❍ ✿ ❋ ❃ ❇ ❀ ❉ ❀ ✻ ❉ ✼ ❀ ❳ ❋ ❃ ✽ ✾ ✻ ✽ ◗ ✽ ❋ ❉ ❉ ❆ ✻ ✾ ❅ ✿ ❂ ❃ ✾ ❀ P ✻ ❀ ▼ ❉ ■ ◆ ❖ ❘ ❅ ❂ ❂ ❀ ❳ ✽ ✾ ✻ ✽ ❉ ❆ ✾ ✿ ❃ ❀ ❀ ❉ ◆ ❅ ❂ ❂ P ✻ ▼ ■ ❖ ❘ ❉ ❙ ❖ ❋ ✻ ❀ ❑ ✾ ❀ ❀ ➶ ✻ ✿ ❅ ✻ ✽ ✾ ❋ ❀ ❉ ✿ ✽ ✻ ✾ ❋ ✻ ❃ ▼ ■ ❋ ✽ ❉ ✿ ❂ ❅ ▼ ❂ ❖ ❊ ❋ ❃ ✻ ✼ ❀ ❉ ❙ ❖ ❋ ✻ ❀ ✾ ✻ ✼ ❀ ➶ ✿ ❀ ✻ ❅ ✽ ❋ ❂ ■ ❉ ✼ ✽ ❅ ✾ ❅ ✻ ❉ ▼ ■ ❈ ✽ ✿ ❆ ❅ ❅ ❂ ❍ ❊ ❍ ❋ ❅ ❃ ✾ ❑ ❀ ❋ ✿ ✻ ✻ ✼ ❋ ❃ ✾ ❖ ✺ ✻ ✼ ✽ ✻ ✾ ✿ ✼ ❅ ❇ ❊ ❀ ✿ ❂ ❂ ✻ ❀ ❃ ❅ ❊ ❁ ✽ ❈ ✻ ❂ ❀ ❅ ❃ ✿ ❉ ❉ ❅ ❃ ❄ ❁ ✻ ❊ ❅ ❉ ❆ ✿ ✻ ✽ ❏▼▲❑❏ ❍●❋ ■ ❚❙◗▲❘◗P❖◆▼ ❱ ❲ ❳ ❩ ❫ ❩ ❜ ❴ ❝ ❵ ❡ ❜ ❛ ❩ ❯ ❩ ❜ ❲ ❯ ❝ ❩ ❲ ❯ ❬ ❱ ❩ ❱ ❞ ❲ ❢ ❡ ❳ ❝ ❣ ❨ ❜ ❤ ❩ ❩ ❬ ❲ ❭ ❪ ❧❦❥✐ ♥ tsrq♣ ♠ ♦ ✇✈♥✉s ♦ ②q♣r✉① ❦⑤④♥s ③ ⑥❥ ❶ ❷ ❶ ❣ ⑨ ⑦ ❸ ⑩ ❤ ❹ ❶ ❺ ❻ ❸ ❼ ❻ ❽ ❺ ⑧ ❶ ❣ ❤ ❸ ❷ ❻ ❷ ❶ ➈ ❾ ➃ ❿ ⑩ ⑧ ➅ ❤ ⑦ ➀ ➃ ➉ ➀ ❿ ➁ ⑨ ➊ ⑩ ➆ ➂ ➇ ➃ ➂ ➋ ❾ ⑦ ➌ ⑦ ❿ ❢ ➌ ❾ ➃ ➍ ⑦ ➌ ➄ ➆ ➅ ➋ ❤ ➆ ➀ ➎ ➂ ❤ ➎ ⑦ ➁ ➀ ➇ ➂ ❤ ➁ ❢ ➉ ➀ ❿ ➂ ⑨ ➊ ➇ ➀ ➂ ➌ ➏ ➐ ➋ ➞➙➝➛➝➜➛➙➣↕➣↔➣➔➔➓→➔➓➒➑ ➝ ➟ ➠ ➡ ➢ ➤ ➤ ➥ ➦ ➧ ➚ ➨ ➚ ➩ ➩ ➫ ➬ ➧ ➭ ➮ ➯ ➨ ➲ ➳ ➬ ➨ ➵ ➪ ➩ ➸ ➩ ➺ ➻ ➱ ➫ ➶ ➸ ➲ ➹ ➼ ✃ ➽ ➼ ➭ ➽ ➚ ➻ ➲ ➚ ➾ ➾ ➩ ➫ ➘ ➬ ➧ ➯ ➴ ➮ ➺ ➲ ➨ ➽ ➷ ➬ ➨ ➷ ➨ ➪ ➚ ➧ ➩ ➪ ➚ ➨ ➪ ➪ ❮✡☛✝❒❐❒✞✞✡ Ï❮❒✡❐❰✞ Ï☛✝❒❐✠❰Ï❘ Ñ Ò Ó Ô Ò ÖÖÖ Ó Õ Ó Ó ✶ ✷ ✸ ✹ ✷ ✸ ✸ ✾ ✈ ❲ ➹ ✶ ✉ ✾ ✿ ❧ ❅ ❂ ✈ ❀ ➶ ♣ ❙ ✷ ✸ q ❜ r ❦ ❙ s ❱ ❲ ➹ ❜ ✾ ❲ ➹ ✶ ✾ ✿ ❅ ❂ ❀ ➶ ❙ ❲ ❙ ✷ ✸ ✾ ❧ ❲ ➹ ✶ ✾ ❧ ✿ ♠ ❅ ❂ ❧ ❀ ♥ ➶ ❙ ❲ ♦ ❙ ✷ ✸ ♣ ❜ ❦ q r ❙ ❱ ❲ ➹ s ❜ ✾ ❲ ➹ ✶ ✾ ✿ ❅ ❂ ❀ ➶ ❙ ❲ ❙ ✷ ✸ ❜ ❦ ❙ ❱ ❲ ➹ ❜ ✇ ✈ r s s ❧ ❜ ✈ ❦ ❙ ♣ ❱ ❲ ➹ q ❜ r s ① ✈ r s s ❧ ✈ ♣ q r s ✾ ❲ ❀ ➹ ✶ ③② ③④ ⑤ ⑦⑥ ⑤ ✾ ⑧ ❲ ➹ ✶ ✉ ✾ ✿ ❧ ❅ ❂ ✈ ❀ ➶ ♣ ❙ ✷ ✸ q ❜ r ❦ ❙ s ❱ ❲ ➹ ❜ ✾ ❲ ✸ ➹ ✶ ✻ ▼ ■ ❖ ✾ ❲ ❙ ➹ ✶ ✻ ▼ ■ ❖ ❃ ❃ ❍ ❍ ❑ ❋ ✾ ❃ ✼ ❀ ❀ ❃ ❋ ❀ ● ■ ❅ ❀ ❍ ❈ ❈ ❂ ✿ ❀ ❇ ❀ ❑ ✽ ❅ ❊ ✻ ❃ ✽ ❀ ✽ ❉ ❃ ✿ ✽ ✿ ✾ ❃ ✽ ❆ ❀ ❉ ❀ ❅ ❲ ✾ ❈ ❆ ➹ ◆ ✻ ❀ P ❙ ❂ ❳ ✽ ✻ ❍ ❋ ✽ ❊ ✻ ❀ ▼ ✽ ❅ ❉ ✾ ❋ ✼ ❉ ■ ✻ ✻ ❃ ❆ ✾ ❉ ❖ ❀ ❘ ✽ ❉ ✿ ▲ ✻ ❀ ✾ ❃ ✾ ❆ ✼ ✼ ◆ ✽ ✽ ◗ ❀ ❅ ❀ ■ ❇ ❀ ❀ ❂ ❅ ❈ ❃ ❉ ❘ P ❉ ❇ ❊ ✽ ✽ ❋ ❲ ❆ ❂ ✾ ❖ ❄ ❃ ❀ ❂ ✻ ❖ ❀ ❃ ❋ ✻ ❋ ❇ ❉ ✻ ❀ ◆ ❳ ❅ ✽ ✾ ❂ ❂ ✻ ✽ ✿ ❉ ❋ ❆ ❂ ✼ ❇ ✾ ❍ ✾ ❉ ✹ P ❞ ✻ ✹ ▼ ❞ ■ ❙ ✷ ❖ ✹ ❘ ✾ ✿ ❃ ❀ ❀ ❉ ❀ ❳ ✽ ✾ ✻ ✽ ❉ ❆ ■ ✸ ✾ ✻ ❈ ■ ✽ ■ ❀ ❀ P ◆ ✻ ❳ ▼ ❅ ✽ ✾ ■ ❂ ❂ ✻ ❖ ❘ ✽ ✼ ❉ ❋ ❆ ❃ ✾ ✽ ◗ ✿ ❋ ❃ ❉ ❀ ✻ ❀ ❅ ❉ ❂ ✾ ❍ ❋ ❇ ❉ ✻ P ✻ ▼ ■ ❖ ❘ ❀ ❀ ◆ ❳ ❳ ❅ ✽ ✽ ✾ ✾ ❂ ❂ ✻ ✻ ✽ ✽ P ❉ ❉ ✻ ❆ ❆ ▼ ■ ✾ ✾ ❖ ✿ ✿ ❘ ❃ ❃ ❀ ❀ ❀ ❀ ❉ ❉ P ◆ ✻ ▼ ❅ ■ ❂ ❂ ❖ ❘ ✾ ✻ ❅ ❉ ❈ ❋ ❊ ❊ P ❀ ◆ ✻ ❳ ▼ ❅ ✽ ✾ ■ ❂ ❂ ✻ ❖ ❘ ✽ ✼ ❉ ❋ ❆ ❃ ✾ ✽ ◗ ✿ ❋ ❃ ❉ ❀ ✻ ❀ ❅ ❉ ❂ ✾ ❀ ❀ ◆ ❳ ❳ ❅ ✽ ✽ ✾ ✾ ❂ ❂ ✻ ✻ ✽ ✽ P ❉ ❉ ✻ ❆ ❆ ▼ ■ ✾ ✾ ❖ ✿ ✿ ❘ ❃ ❃ ❀ ❀ ❀ ❀ ❉ ❉ P ◆ ✻ ▼ ❅ ■ ❂ ❂ ❖ ❘ ✾ ✻ ❅ ❉ ❈ ❋ ❊ ❊ ❃ ❑ ❍ ❃ ❀ ❀ ■ ❅ ❍ ❂ ✿ ❑ ❅ ✽ ❀ ❉ ✿ ❃ ❆ ❀ ✾ ◆ ❀ P ❳ ✻ ✽ ✻ ▼ ✽ ✾ ✼ ■ ✻ ❉ ❖ ❘ ✽ ❉ ▲ ❀ ✾ ❆ ◆ ❀ ❇ ❀ ❅ ❉ ❉ ✽ ❲ ❆ ✾ ❂ ✻ ❀ ❃ ❇ ✻ ❃ ❍ ✾ ❋ ✼ ❀ ❃ ❋ ● ❀ ❈ ❈ ❀ ❇ ❀ ✽ ❊ ✻ ❃ ✽ ❃ ✽ ✿ ✾ ✽ ❀ ❉ ❅ ❲ ❈ ➹ ❆ ✻ ❙ ❂ ✽ ❍ ❋ ❊ ❀ ❅ ❉ ❋ ❉ ✻ ❃ ❆ ✾ ❀ ✿ ✻ ✾ ❃ ✼ ✼ ✽ ✽ ◗ ❅ ❀ ■ ❀ ❂ ❈ ❃ ❘ P ❇ ❊ ✽ ❋ ❂ ❖ ❄ ❀ ❃ ❖ ❋ ✻ ❋ ❉ ❑ ❉ ❃ ❀ ❅ ◆ ✿ ✼ ✽ ❉ ❋ ❆ ❃ ✽ ◗ ❋ ❉ ✻ ❅ ❂ ■ ❀ ❉ ✿ ❳ ❀ ❋ ✽ ■ ◆ ✽ ❉ ❀ ✾ ❉ ✻ ❍ ❙ ❀ ✽ ✷ ❉ ❋ ✸ ✿ ❆ ❜ ❇ ✻ ⑨ ❉ ■ ✽ ❋ ❇ ✻ ✸ ❉ ❲ ✾ ❑ ▲ ✻ ❋ ❈ ❂ ✻ ❈ ❍ ❋ ✽ ❉ ❊ ❅ ✽ ✾ ❅ ✻ ❍ ❇ ✽ ❈ ✿ ❲ ❀ ❀ ❑ ✼ ✻ ❋ ❈ ❀ ❋ ❂ ❃ ✽ ❅ ❇ ✻ ❍ ✻ ❋ ✾ ✾ ❀ ❊ ✼ ✽ ✻ ❈ ❅ ■ ❀ ❀ ❂ ✽ ❃ ■ ❂ ❀ ❊ ❈ ❅ ❋ ❃ ✾ ❃ ✾ ✽ ❂ ❀ ❂ ❉ ❍ ❀ × ❑ ✷ ◆ ❙ ❂ ❭ ▼ ❇ ❜ ⑨ ❲ ❑ ✼ ❋ ❋ ❂ ❂ ✻ ❀ ❉ ❀ ◆ ✼ ❋ ❃ ✽ ◗ ❋ ❉ ✻ ❅ ❂ ❀ ✼ ✾ ❳ ✿ ✾ ✾ ❃ ✽ ✾ ❀ ✻ ✹ ❀ ❞ ✽ ❉ ✹ ❉ ❆ ❞ ◆ ❙ ✷ ✹ ❅ ❂ ❂ ❑ ❃ ❅ ✿ ✽ ❉ ❆ ✿ ❋ ❂ ❇ ❍ ❉ ❉ ❂ ❃ ✻ ❀ ✼ ❀ ❀ ❉ ◆ ❃ ● ❆ ❀ ❇ ❬ ✻ ❅ ✽ ✷ ❃ ✼ Ö ❈ ❀ ❜ ❀ ⑨ ❅ ❈ ❈ ✾ P ❃ ✻ ▼ ❋ ■ ❈ ❖ ▲ ❘ ❈ ✼ ✻ ✼ ❃ ❋ ❃ ❂ ✽ ❂ ❀ ❀ ❂ ❅ ❊ ❙ ❈ ❋ ❙ ❀ ✷ ❃ ❙ ❈ ❭ ❉ ❜ ❃ ⑨ ❀ ❋ ◆ ❈ P ✻ ▼ ■ ❖ ❘ ❆ ⑩ ✾ ❅ ❀ ❆ ❀ ❀ ◆ ❋ ❋ ❉ ❃ ✾ ❁ ✼ ❅ ❀ ❑ ❀ ❂ ✻ ❀ ❉ ❅ ❲ ❉ ➹ ❆ ❙ ❂ ❀ ❆ ⑩ ✾ ❅ ❀ ❆ ❀ ❀ ◆ ❋ ❋ ❉ ❃ ✾ ❁ ✼ ❅ ❀ ❑ ❀ ❂ ✻ ❀ ❉ ❅ ❲ ❉ ➹ ❆ ❙ ❂ ❀ ✼ ❀ ✿ ✾ ❳ ✿ ✾ ❋ ✾ ❃ ✽ ❂ ✾ ❇ ❀ ✻ ✹ ❍ ❀ ❞ ✽ ❉ ✹ ❉ ❉ ❆ ❞ ◆ ❙ ✷ ✹ ❅ ❂ ❂ ❑ ❉ ❃ ❀ ❅ ◆ ✿ ✼ ✽ ❉ ❋ ❆ ❃ ✽ ◗ ❋ ❉ ✻ ❅ ❂ ❉ ❂ ❃ ✻ ❀ ✼ ❀ ❀ ❉ ❃ ◆ ● ❆ ❀ ❇ ❬ ✻ ❅ ✽ ✷ ❃ ✼ Ö ❈ ❀ ❜ ❀ ❅ ⑨ ❈ ❈ ✾ P ❃ ✻ ▼ ❋ ■ ❈ ❖ ▲ ❘ ✼ ❈ ✻ ✼ ❋ ❃ ❃ ❂ ✽ ❂ ❀ ❀ ❂ ❅ ❊ ❙ ❈ ❋ ❙ ❀ ✷ ❃ ❙ ❈ ❭ ❉ ❜ ❃ ⑨ ❀ ❋ ◆ ❈ ❉ ❃ ❊ ❙ ❙ ❀ ❋ ✽ ❀ ✷ ◆ ❈ ❙ ❂ ❭ ❈ ❜ P ✻ ✻ ⑨ ❈ ✼ ▼ ❃ ✼ ❃ ■ ❋ ❀ ✽ ❂ ❖ ❘ ❅ ❂ ❂ ❀ ❈ ❀ ❊ ❈ ❋ ❃ ⑤ ⑤ P ✻ ▼ ■ ❖ ❘ ❇ ❍ ❃ ✼ ❑ ❉ ❂ ✽ ▼ ❀ ❀ ✻ ✻ ✻ ❙ ❙ ✶ ✸ ❖ ❖ ❍ ❇ ❃ ❈ ✾ ✻ ✽ ❍ ✼ ✼ ❉ ❀ ❋ ❀ ■ ❀ ✾ ❅ ❂ ✻ ❂ ❉ ❀ ✾ ❇ ❂ ✼ ✽ ❋ ❀ ❂ ✾ ❀ ❍ ❋ ❈ ✾ ✻ ❈ ✾ ❈ ✽ ❉ ❑ ❇ ✾ ✿ ✽ ❃ ❉ ❆ ▼ ▲ ■ ❇ ❅ ❈ ❍ ❋ ❀ ✻ ◆ ✻ ✽ ✿ ❃ ❀ ■ ✼ ❋ ✽ ❅ ❅ ❄ ❉ ❀ ❀ ❃ ✻ ❉ ❃ ❆ ✽ ✾ ✾ ❀ ✾ ❅ ✾ ❀ ❅ ❀ ❈ ▲ ✻ ❂ ❈ ❈ ✻ ❅ ✻ ✽ ❋ ❋ ❀ ❃ ❋ ❉ ❀ ❉ ❉ ✿ ❅ ❃ ❈ ❉ ✾ ✼ ◆ ✻ ❋ ❅ ✼ ❖ ❉ ❈ ✽ ❉ ❉ ✻ ❀ ✽ ✽ ● ❃ ❆ ▼ ✾ ❀ ✽ ❇ ❉ ✾ ✻ ✾ ✿ ❀ ❈ ❃ ✻ ❅ ✻ ✾ ✽ ❇ ✿ ❃ ❃ ▲ ✻ ✿ ❅ ❇ ✾ ❀ ✼ ✻ ❀ ✻ ✿ ✾ ❀ ❀ ❇ ● ✻ ✿ ❃ ❇ ❇ ◆ ✻ ✼ ❅ ❃ ❀ ✼ ❀ ❋ ❂ ❅ ❉ ❀ ❍ ❃ ❂ ✿ ❈ ❅ ❍ ❁ ❀ ❃ ❍ ✻ ❀ ✾ ❅ ❅ ❀ ✽ ✻ ✿ ▲ ◆ ❉ ❍ ✼ ❅ ❈ ✽ ❑ ✽ ❋ ❉ ❉ ❉ ❀ ❈ ❈ ❆ ✾ ❉ ❃ ✼ ✾ ■ ❅ ❋ ✾ ❅ ❖ ❃ ✻ ❊ ❂ ◆ ❇ ❋ ❂ ✿ ❃ ✿ ✽ ✻ ❋ ❀ ❑ ❀ ✼ ❉ ❀ ❈ ❅ ❋ ✾ ❇ ❉ ✾ ❇ ✻ ❃ ❈ ❋ ✻ ❃ ❀ ❂ ❇ ❅ ◆ ✾ ❀ ✿ ❃ ❖ ❂ ❃ ✻ ❀ ▼ ✽ ✻ ✽ ❋ ✾ ✻ ❃ ❇ ❉ ❀ ❀ ❆ ❖ ❉ ✾ ❆ ❅ ■ ❅ ❀ ❉ ❋ ❇ ✾ ▼ ❉ ✻ ✻ ✾ ✼ ✻ ✽ ❋ ✽ ❀ ❋ ❑ ❉ ✿ ❂ ❃ ✾ ❀ ✼ ✽ ◗ ❉ ❋ ❅ ❊ ❉ ✽ ❋ ✻ ● ❂ ❃ ✽ ❇ ❋ ▼ ❀ ❉ ❅ ❖ ✾ ❂ ❋ ✻ ❂ ❋ ✼ ❊ ❃ ❀ ✿ ✻ ❋ ✿ ■ ✼ ❉ ❃ ❋ ❀ ✾ ❋ ❉ ❀ ✻ ✿ ✻ ❉ ❃ ❃ ❀ ❆ ❇ ❅ ❈ ✿ ✽ ✿ ❉ ❇ ✻ ✻ ❀ ❃ ✽ ❋ ❋ ❀ ❀ ❃ ❃ ❉ ✾ ❙ ❙ ❬ ✹ ❖ ❖ ❊ ❊ ❍ ✿ ❆ ✿ ◆ ✻ ❅ ❅ ❋ ✼ ❉ ❋ ❋ ❇ ❅ ❋ ❂ ❃ ❀ ❈ ❉ ❉ ✽ ✽ ❉ ❃ ❈ ❂ ✿ ✻ ✻ ✿ ✻ ❀ ❁ ❅ ■ ❀ ❃ ❃ ❅ ❋ ❂ ❉ ❃ ▲ ❅ ❅ ✽ ✽ ❉ ▼ ❉ ❉ ❇ ✻ ❋ ✿ ✿ ✻ ✼ ❀ ❀ ❉ ✻ ✻ ✻ ❋ ❃ ✾ ❀ ❈ ❈ ❀ ❋ ❋ ✻ ❅ ✿ ❖ ❀ ❖ ❃ ❃ ◆ ✼ ❅ ✿ ❃ ✻ ▲ ❀ ❂ ❋ ✻ ✿ ✽ ✽ ❋ ✾ ❂ ❃ ❋ ❃ ❅ ✿ ❉ ◆ ❃ ❁ ❃ ❃ ❅ ❋ ❀ ❅ ❋ ■ ❃ ❅ ❅ ❉ ✾ ❉ ■ ❃ ❃ ❉ ✽ ✻ ❀ ■ ❈ ❇ ❀ ❁ ❈ ❃ ❃ ❋ ❃ ❀ ❅ ❅ ✾ ▲ ❅ ❉ ✻ ❃ ▲ ❋ ✿ ❅ ❂ ❅ ❀ ✾ ✾ ✻ ❊ ✾ ❂ ❈ ❉ ✽ ❀ ❑ ✼ ✾ ❖ ❨ ❅ ✾ ✻ ❂ ✼ ❅ ❅ ❉ ❇ ❀ ▼ ✻ ▲ ❅ ✿ ✿ ❑ ❅ ✼ ❂ ❀ ❀ ❊ ❲ ❀ ❉ ❂ ❀ ✿ ● ❉ ❋ ❈ ❋ ❑ ✻ ✻ ❇ ❃ ❀ ✼ ✿ ❉ ❂ ❅ ✽ ■ ✻ ❋ ❅ ❋ ✻ ✻ ❃ ❍ ❀ ✻ ❃ ✿ ❉ ❃ ❀ ❍ ❀ ❅ ❅ ✻ ❅ ❅ ❍ ❉ ■ ✿ ❂ ❃ ▲ ✽ ❉ ❅ ✻ ❋ ✻ ❅ ❅ ✾ ▼ ❀ ❋ ❃ ✿ ❉ ✻ ❅ ❈ ❃ ❅ ✼ ✻ ❈ ❊ ✽ ❉ ❃ ❋ ✾ ❀ ❅ ❅ ❅ ✻ ✻ ❉ ✻ ❃ ✽ ❂ ❀ ✾ ❉ ▼ ❈ ▼ ❃ ✼ ✽ ▼ ✾ ❆ ✾ ❊ ❅ ❍ ❃ ■ ❇ ❇ ✼ ❀ ❂ ❋ ❀ ❃ ❂ ■ ❃ ❅ ✽ ❈ ❍ ❉ ❋ ❲ ❂ ❀ ❑ ✻ ❀ ❋ ✽ ■ ❂ ✻ ❀ ❋ ❂ ◆ ❀ ❄ ❋ ❲ ✽ ❉ ❃ ❃ ❈ ❃ ❃ ✽ ❉ ✽ ✻ ❀ ✻ ❀ ❅ ❀ ❀ ❆ ✼ ▼ ✾ ✾ ✻ ❄ ❈ ■ ❀ ❖ ✻ ❅ ❋ ✽ ❀ ✻ ❋ ❅ ✼ ❂ ✿ ◆ ❅ ❋ ❂ ❂ ❉ ❀ ✿ ❉ ❂ ✾ ❀ ✿ ❇ ❈ ❍ ◆ ❉ ❅ ✽ ❑ ❋ ■ ❋ ❉ ✾ ✽ ❋ ❂ ❅ ❉ ❅ ❈ ❇ ❈ ❀ ❉ ✾ ❃ ❳ ❃ ✽ ✻ ■ ▲ ❊ ❁ ❊ ❀ ✾ ❀ ❅ ❀ ✻ ❋ ✽ ✿ ✿ ❑ ❲ ❃ ✾ ◆ ❃ ❅ ❑ ✻ ❅ ✾ ✽ ❈ ✻ ❃ ✼ ❀ ✻ ❊ ❀ ✽ ✾ ❅ ❋ ❋ ✼ ❈ ❀ ✼ ✿ ❉ ❀ ❍ ◆ ■ ❅ ❁ ❑ ✾ ✾ ❀ ❂ ❅ ❀ ▼ ❋ ❖ ❂ ❅ ❃ ▼ ✻ ❃ ❊ ✾ ❅ ❇ ❑ ❅ ❁ ❋ ❀ ▲ ❂ ✻ ❀ ❂ ✾ ✽ ✻ ❂ ❉ ❅ ✽ ❂ ❂ ✼ ▼ ❅ ❆ ❉ ❅ ✽ ◗ ❅ ❊ ✻ ❋ ■ ❋ ■ ❀ ❊ ❀ ❅ ■ ❊ ❃ ◆ ❀ ❉ ❅ ❉ ❇ ❅ ✿ ✻ ■ ❉ ❉ ❈ ❃ ✿ ✻ ✼ ■ ❀ ❅ ✻ ❀ ✻ ❀ ❃ ❃ ✽ ❉ ❀ ❈ ❍ ✽ ✿ ❋ ✽ ▲ ❃ ❉ ❈ ❋ ❀ ❑ ■ ❅ ❇ ■ ◆ ✾ ▼ ❇ ❃ ❉ ✾ ❃ ❉ ❋ ✿ ❅ ✽ ✻ ✻ ❅ ✽ ✻ ❍ ❃ ❃ ❃ ✼ ❀ ✻ ✾ ▼ ❁ ✾ ❀ ❀ ❀ ❀ ▲ ❙ ❭ ❖ ❑ ❑ ❃ ❍ ✿ ✿ ✿ ◆ ❅ ❋ ❋ ❀ ■ ❋ ❇ ❇ ❇ ❃ ❍ ■ ❇ ❇ ✾ ✾ ❉ ✾ ✽ ✻ ❃ ✻ ✻ ❉ ❉ ❋ ✻ ✻ ❋ ❋ ✽ ❋ ❃ ❈ ❈ ❉ ❄ ❑ ❍ ❍ ❄ ❅ ❅ ❅ ❆ ✽ ❉ ❀ ❀ ✿ ❃ ❃ ✽ ❖ ◗ ❆ ❈ ✻ ✽ ✽ ❃ ❅ ❀ ❀ ❍ ❋ ❀ ✻ ✾ ✾ ✾ ❀ ❋ ❃ ■ ❇ ❅ ✽ ❖ ❋ ❈ ❂ ✾ ✿ ✿ ✾ ❉ ✾ ❅ ✽ ❊ ❀ ✼ ✼ ❋ ✼ ✾ ✿ ❍ ✽ ✿ ❅ ❅ ❉ ❀ ❅ ❀ ❅ ❅ ❂ ❂ ✻ ❈ ✻ ❉ ❂ ❂ ✻ ❃ ❃ ✻ ✻ ✽ ❀ ❅ ❅ ❋ ❅ ❋ ✾ ❑ ❉ ✿ ✿ ❉ ❉ ❖ ❈ ❀ ❈ ✻ ✼ ✾ ❂ ✽ ✻ ❀ ❋ ✷ ❍ ▼ ❋ ✾ ❃ ❅ ✽ ❀ ✻ ❃ ✾ ◆ ✽ ■ ❆ ❉ ❋ ✾ ✻ ■ ❃ ❋ ❉ ✻ ✼ ✼ ❃ ✾ ❀ ❀ ❃ ❀ ■ ❅ ❋ ✾ ❈ ❖ ❁ ❃ ❂ ✻ ❄ ❅ ❃ ❂ ❋ ❋ ◆ ❀ ❑ ❉ ❀ ■ ❈ ▼ ❃ ▼ ✾ ❀ ✽ ✻ ❀ ❀ ■ ❍ ✼ ❃ ✿ ❋ ❈ ❋ ■ ✽ ❂ ❉ ✽ ❅ ❉ ✻ ❉ ❂ ▼ ✻ ❃ ✼ ❋ ✾ ❋ ✻ ❃ ❀ ◆ ▼ ✽ ❑ ✼ ❊ ❃ ✽ ❀ ❃ ✽ ❀ ✽ ✻ ✾ ❂ ✽ ✻ ❅ ❃ ✾ ✽ ✽ ✻ ✻ ❂ ❅ ▼ ❈ ✽ ✾ ❉ ❋ ✽ ✻ ❍ ❉ ❇ ❋ ❆ ✼ ❋ ❃ ❈ ✽ ❃ ◆ ✻ ❀ ❊ ✽ ❆ ✾ ❄ ❉ ❑ ❍ ✻ ❀ ✽ ❉ ✻ ❍ ▼ ❋ ✼ ❇ ▼ ❅ ✽ ❀ ❍ ❊ ❋ ❋ ✾ ❂ ✻ ❈ ✻ ❀ ❃ ✿ ✻ ✼ ❂ ✽ ❋ ✼ ❊ ❍ ❋ ❑ ❀ ❅ ❉ ❀ ✽ ❀ ❀ ✿ ❇ ✾ ✻ ❈ ❅ ✾ ❋ ❂ ❃ ❅ ✻ ❃ ✻ ❅ ◆ ❅ ■ ❀ ✽ ❉ ❃ ❋ ✿ ❑ ■ ❉ ● ❈ ❀ ❉ ✻ ❀ ❃ ❀ ❇ ❆ ❋ ❖ ❋ ❃ ✿ ✽ ❃ ✾ ✽ ❃ ❋ ❋ ❱ ❄ ✾ ❋ ❋ ❀ ◆ ❀ ❉ ✻ ❋ ❈ ❍ ■ ❈ ❋ ❉ ❃ ❃ ❀ ❖ ❀ ❋ ❄ ❈ ❑ ❋ ❃ ❊ ❀ ❅ ▼ ■ ✽ ❅ ❉ ❃ ✻ ❀ ❉ ❅ ✻ ■ ✻ ✻ ✽ ❃ ❊ ▼ ✻ ❅ ✼ ❃ ✼ ▼ ✻ ❀ ✿ ❀ ❀ ▼ ✽ ◆ ❈ ❋ ◆ ✼ ❃ ❋ ❍ ❋ ❀ ❋ ◆ ✾ ❃ ❉ ❀ ❃ ❃ ✻ ✽ ❁ ❆ ❉ ✻ ✻ ❁ ❃ ❂ ✼ ❋ ✻ ✽ ❇ ❉ ❀ ❋ ✾ ✽ ✾ ✿ ❀ ❅ ✻ ❇ ❍ ✻ ❀ ◆ ✾ ✼ ❍ ✻ ❇ ❃ ❀ ❀ ❋ ❅ ✾ ✽ ✻ ❃ ▼ ❑ ✽ ✼ ❈ ❅ ❋ ■ ❀ ✽ ❂ ❃ ❀ ❃ ❃ ◆ ✽ ❖ ❉ ✽ ❀ ◗ ❀ ✽ ❉ ❋ ✻ ✻ ✻ ❅ ❅ ● ❀ ❃ ✼ ✼ ✼ ✻ ❇ ❃ ❅ ❀ ❀ ❀ ✽ ❋ ✽ ❉ ✻ ❃ ✾ ✾ ✾ ❉ ✽ ❋ ❈ ❉ ❀ ❀ ❀ ❀ ❖ ❙ ❙ Õ ❖ ❀ ■ ■ ✿ ✿ ✻ ❅ ❉ ❃ ❋ ✼ ❉ ❋ ❋ ❆ ❀ ❀ ✻ ❈ ❉ ❉ ✿ ❀ ✷ ✻ ✾ ✽ ❉ ❋ ❉ ❅ ✾ ❃ ✻ ❀ ❃ ❇ ✻ ✻ ❃ ❅ ❀ ❃ ✻ ✽ ✻ ✿ ❇ ❅ ❃ ❇ ❀ ✽ ✻ ✿ ❂ ❋ ✽ ❉ ❍ ✿ ❋ ✻ ❉ ❆ ✻ ✻ ■ ❃ ✽ ✾ ❋ ❋ ❇ ❋ ❉ ❍ ❃ ❅ ❍ ❃ ✾ ❅ ✿ ✾ ❇ ❅ ❇ ❂ ✾ ✻ ❅ ✾ ❃ ✾ ❅ ❀ ❇ ✻ ▼ ✻ ❁ ✾ ✾ ✽ ❉ ❑ ❑ ✾ ✽ ❀ ❑ ❉ ✻ ❀ ❃ ❍ ❀ ❀ ❆ ❅ ❀ ✻ ✻ ❆ ✿ ❅ ✼ ❉ ❅ ✿ ❃ ❉ ✽ ❁ ❀ ✻ ❉ ❋ ✽ ✻ ❈ ❀ ❆ ❆ ▼ ❋ ❉ ■ ❑ ❉ ❅ ❅ ❊ ❋ ✻ ❉ ✽ ❋ ◗ ❃ ❇ ❋ ❈ ❅ ✿ ❊ ✻ ❉ ❉ ❋ ✾ ✽ ❀ ❅ ❈ ✻ ✻ ✼ ❉ ❉ ❂ ❅ ✼ ❋ ✾ ✾ ❃ ✻ ❋ ✽ ✻ ❇ ❃ ✾ ✼ ▼ ❃ ❃ ❃ ❅ ✽ ❉ ❍ ❇ ❀ ❈ ✻ ❆ ✿ ❅ ✿ ❀ ✻ ❃ ❖ ✻ ✻ ❋ ✾ ✼ ❁ ✼ ✽ ❋ ❍ ✽ ❀ ❆ ❀ ✽ ❉ ❉ ■ ❉ ✾ ❆ ❂ ❃ ✻ ❀ ✾ ❀ ❃ ❀ ✽ ✻ ✾ ✻ ❳ ❇ ❍ ❀ ❃ ✻ ✻ ✿ ❋ ❀ ✼ ❀ ✻ ✿ ✾ ❄ ❀ ❉ ❇ ❋ ✾ ❅ ❈ ❃ ❃ ❀ ❂ ❂ ✾ ❀ ❅ ❂ ✾ ❅ ✾ ❂ ❋ ✻ ■ ■ ◆ ❊ ✽ ❋ ❉ ✾ ❋ ✽ ✻ ❀ ✻ ❅ ❉ ❀ ✼ ❉ ✻ ✾ ❆ ❋ ✼ ▼ ✽ ❑ ❃ ❊ ❀ ✽ ❉ ✽ ❂ ✾ ✽ ✾ ✻ ✽ ✻ ✻ ✻ ✿ ▼ ✻ ❃ ✼ ▼ ❅ ▲ ❋ ❀ ❇ ❂ ❍ ❋ ✽ ❉ ❂ ✿ ❊ ■ ✿ ❅ ✾ ✻ ❂ ❂ ✻ ✻ ✻ ❇ ❀ ❇ ✼ ❃ ✽ ❃ ❋ ✻ ❈ ❀ ❇ ❅ ❉ ❀ ✽ ✿ ❂ ❉ ✿ ✻ ❆ ❋ ❍ ✿ ✿ ❇ ▲ ❉ ❋ ❅ ❋ ❃ ❑ ✻ ❳ ❉ ❀ ❍ ❇ ❃ ❈ ✽ ❍ ❖ ■ ✻ ❅ ✽ ❇ ✻ ❋ ✿ ❅ ❉ ❍ ✽ ❉ ❋ ✻ ❂ ❋ ❂ ❋ ❀ ❉ ✻ ◆ ❉ ❃ ❉ ❂ ✻ ❋ ❖ ✽ ❀ ❉ ✽ ❍ ❉ ✿ ❈ ✼ ❂ ✽ ❀ ✻ ❅ ▼ ✾ ❀ ✾ ✾ ❖ ✾ ❈ ■ ❅ ❀ ✻ ✻ ✻ ❃ ❀ ✼ ✼ ❋ ❈ ▼ ❀ ❀ ▲ ✸ ❙ × Ö ❖ ❖ ❊ ❊ ✿ ✾ ✿ ❅ ❅ ✼ ❋ ❂ ❋ ✽ ❂ ❅ ❂ ❋ ❉ ❉ ✽ ❉ ✷ ❃ ❊ ✻ ✻ ❆ ✾ ✿ ❃ ❃ ✽ ❉ ✾ ✼ ✿ ❅ ❅ ❆ ❋ ❑ ✿ ✿ ❊ ▲ ❃ ▼ ✻ ✻ ✽ ❂ ❋ ❋ ✽ ❋ ❉ ✻ ✽ ❉ ❃ ❃ ❆ ✻ ❀ ❆ ✼ ❍ ❖ ✽ ✾ ❀ ❋ ■ ❅ ❃ ❋ ❉ ❊ ❃ ✾ ❃ ❈ ❀ ▲ ✾ ✾ ❅ ❉ ❂ ❇ ■ ❃ ❋ ✽ ❆ ❃ ❋ ▼ ✻ ✼ ❃ ❉ ❆ ✻ ❋ ✾ ❑ ✽ ■ ❇ ❉ ✽ ❃ ❑ ❈ ❉ ❆ ❅ ❂ ❖ ❈ ❀ ✿ ❍ ✽ ✽ ❉ ❊ ❉ ❅ ❋ ❆ ❆ ▼ ❃ ▲ ❑ ❑ ❀ ❅ ❅ ❇ ❂ ❉ ❃ ✽ ❂ ❂ ❈ ❀ ❈ ✻ ● ✽ ❀ ❉ ❇ ✻ ❍ ❆ ❀ ✽ ❃ ■ ✾ ❍ ❀ ❋ ▲ ■ ❈ ❃ ❋ ■ ❖ ❅ ❅ ❃ ❅ ❃ ❈ ❅ ❂ ▼ ✾ ❃ ❂ ▲ ❂ ▼ ❆ ❋ ❅ ❋ ✿ ❉ ✾ ❄ ❅ ❈ ❇ ❀ ❂ ■ ❃ ✾ ■ ❋ ❉ ✼ ❋ ✻ ❍ ❋ ✼ ❃ ❀ ❃ ❀ ✻ ❉ ✾ ❃ ✽ ❉ ✻ ❅ ❆ ❋ ❅ ❂ ▲ ❃ ❇ ❃ ✻ ❀ ✻ ❀ ❀ ❈ ❍ ❆ ❋ ✻ ■ ❇ ❋ ✼ ❋ ❂ ❃ ❅ ❀ ❃ ✻ ❅ ❋ ✾ ❃ ❃ ❃ ▼ ✽ ❀ ✻ ▼ ❀ ✾ ❆ ■ ❈ ❂ ❋ ❋ ❀ ❋ ❉ ✻ ❑ ❑ ❀ ✾ ✾ ❅ ❃ ✻ ✽ ❂ ❑ ❃ ❍ ✽ ✾ ❂ ❇ ✽ ❉ ✼ ✽ ✿ ✻ ❅ ❋ ▼ ✻ ✻ ❃ ✽ ❋ ✽ ❋ ✽ ❋ ❉ ❉ ❉ ❊ ❆ ✾ ✾ ▲ ❖ ❅ ❅ ✻ ❅ ❉ ❉ ✼ ❂ ❈ ❈ ❀ ❂ ✸ ✸ ✸ ✶ ✸ ➹ ❙ ❖ ❖ ❖ ❖ ❊ ❃ ❈ ■ ❉ ❉ ✿ ❅ ✽ ❍ ❃ ❃ ❋ ❋ ❋ ❋ ❂ ❋ ■ ❂ ❋ ❀ ❋ ✻ ✻ ❉ ❀ ❉ ✾ ❍ ❍ ✻ ❊ ✽ ❊ ❈ ❋ ❂ ❀ ❃ ✻ ❅ ❀ ✽ ✻ ✽ ✻ ✿ ❍ ❉ ❋ ❅ ❉ ❈ ✼ ❅ ✻ ✾ ✿ ■ ✽ ❇ ✻ ❀ ✻ ❋ ✿ ❖ ✻ ❀ ❊ ✿ ❅ ✽ ❅ ❋ ❋ ❃ ✽ ❅ ❈ ❉ ❋ ✿ ❂ ❉ ❃ ✿ ✾ ❍ ❀ ❉ ✿ ✻ ✻ ✻ ❋ ❋ ✾ ✻ ❋ ❀ ❈ ❇ ❃ ❃ ✼ ❈ ✾ ❊ ▲ ❃ ❃ ❇ ❅ ✾ ❅ ✼ ✽ ❅ ❀ ❊ ✿ ❀ ✿ ▲ ❂ ❅ ◆ ❃ ❳ ✻ ✽ ❂ ❀ ✻ ✿ ❄ ✾ ✿ ✽ ❈ ❋ ❋ ✽ ❂ ✻ ❉ ✽ ❉ ❀ ✼ ❉ ❃ ❅ ✽ ◆ ❆ ❍ ✾ ❆ ❅ ❁ ✾ ✾ ✾ ✾ ❑ ✽ ❃ ❀ ✻ ❅ ✼ ❖ ✽ ✽ ✽ ✾ ✼ ❄ ❉ ❈ ❉ ❅ ❉ ❀ ❋ ❆ ◆ ❇ ▼ ❂ ❀ ❇ ❉ ❂ ❃ ❅ ✿ ❊ ❊ ✻ ❅ ❃ ❊ ❑ ❀ ❅ ❍ ✿ ✻ ❀ ❀ ✾ ✿ ❀ ✼ ✿ ✾ ✾ ❅ ❅ ❳ ✽ ❂ ❀ ❀ ❅ ◆ ✽ ❉ ■ ❆ ✽ ■ ✻ ❃ ◆ ❋ ❈ ❉ ❅ ✻ ✽ ▼ ❀ ✾ ❃ ❃ ❅ ❅ ❅ ✾ ❇ ❅ ❂ ❑ ❀ ✾ ✽ ✻ ▲ ✾ ❃ ✿ ❂ ✾ ✻ ❋ ✾ ❀ ❀ ✻ ❀ ❀ ✻ ❅ ❊ ✽ ❍ ❉ ❅ ❋ ❇ ❊ ❊ ❃ ❉ ❃ ❀ ❑ ❋ ❉ ✿ ❊ ❈ ✻ ❂ ❉ ✾ ❃ ❋ ▼ ◆ ▼ ❀ ❃ ❉ ✻ ❅ ❈ ❅ ❀ ✽ ✾ ❋ ✿ ❉ ❂ ❃ ● ❀ ❂ ❂ ✾ ❋ ■ ❉ ❉ ❇ ✽ ✻ ❊ ❍ ✽ ❃ ❉ ✻ ✽ ❃ ❊ ❉ ✽ ❃ ❑ ❋ ❈ ❇ ❆ ❋ ❖ ❀ ❄ ✿ ✿ ❅ ✽ ❄ ❊ ✾ ✾ ✽ ❉ ❋ ✻ ❈ ✽ ❆ ❈ ◆ ✽ ❆ ❈ ✽ ❉ ❀ ❋ ❇ ■ ❃ ❉ ✻ ❉ ❈ ❅ ✾ ❅ ❃ ✾ ✽ ✾ ✻ ❂ ❅ ❂ ❖ ❅ ✻ ✾ ❅ ❂ ❊ ✾ ✿ ❀ ❀ ❉ ✼ ◆ ❅ ✻ ❉ ❈ ❅ ❋ ◆ ✾ ❋ ❅ ❂ ✾ ✻ ❃ ❋ ❃ ■ ❂ ❅ ❋ ❃ ❁ ■ ✾ ❁ ❑ ✿ ❃ ❁ ✽ ✼ ❀ ❉ ❀ ✽ ❅ ❋ ✽ ❅ ❉ ❆ ■ ❊ ✻ ❄ ❂ ❆ ❃ ❋ ❀ ❂ ❋ ❅ ❋ ❈ ❂ ❂ ✿ ❉ ✼ ❂ ■ ❋ ❊ ❋ ❅ ✼ ❀ ✾ ❃ ❉ ❄ ◆ ❅ ❃ ✽ ✻ ❋ ❈ ❀ ❃ ❀ ❀ ■ ❍ ✽ ❈ ✻ ❈ ■ ❃ ◆ ✽ ✽ ❃ ❀ ❋ ❊ ❀ ❀ ❉ ❋ ❅ ✿ ❉ ❳ ❊ ❃ ❆ ■ ❅ ✾ ❅ ❍ ❀ ❀ ❇ ✿ ✽ ❉ ✽ ❃ ❉ ✻ ❅ ✻ ❀ ✾ ❉ ✿ ❂ ✽ ❋ ❀ ✼ ❃ ▼ ✻ ❂ ❃ ❉ ❅ ❅ ❇ ❀ ❖ ❂ ✾ ❈ ❖ ❈ ❉ ❈ ❂ ❍ ❖ ❀ ❉ ✽ ❉ ❄ ❅ ❉ ❅ ❆ ❉ ❋ ✽ ✾ ❅ ▲ ✻ ✻ ❊ ❅ ❑ ✽ ❋ ❋ ❃ ❇ ❑ ❃ ❉ ❀ ❀ ✻ ✸ ✸ ❬ ✹ ❖ ❖ ❊ ❊ ❃ ❅ ✽ ✽ ❉ ❍ ❋ ❅ ❀ ❉ ✾ ■ ❑ ❇ ❍ ▼ ✻ ❃ ❃ ❉ ❀ ❅ ❋ ◆ ✽ ❈ ❈ ❂ ✿ ■ ❂ ❋ ▼ ❅ ❋ ❀ ❅ ❃ ✻ ✽ ❉ ❃ ❉ ✻ ❋ ❁ ❆ ✽ ❋ ❊ ❃ ✻ ■ ✻ ❉ ✼ ✽ ✻ ❖ ❀ ✼ ❀ ❲ ❃ ❇ ❀ ❋ ❀ ❊ ■ ❊ ✽ ❳ ❋ ❉ ❋ ❃ ✾ ✽ ✾ ❊ ✾ ✻ ❍ ✻ ❇ ❅ ❉ ❀ ✽ ❉ ✿ ❂ ❀ ❈ ❆ ❂ ✼ ◆ ❅ ◆ ✾ ✻ ❑ ✼ ✻ ✽ ✽ ✻ ❋ ❋ ❅ ❃ ✼ ❉ ❃ ❂ ❇ ❋ ✻ ❈ ✿ ◆ ❀ ❇ ◆ ✻ ❈ ✻ ✽ ❇ ❂ ❅ ❂ ❃ ✼ ❅ ❃ ❑ ❀ ❅ ❀ ■ ❀ ❃ ✾ ❃ ❈ ✻ ◆ ✼ ❀ ◆ ✼ ❅ ❊ ✽ ❂ ❀ ❂ ❅ ❅ ❂ ❂ ❃ ❃ ❑ ❀ ❑ ❃ ❀ ❉ ❀ ✾ ✽ ❋ ❈ ✿ ■ ❇ ❃ ❅ ✻ ❋ ✻ ❀ ❀ ❉ ■ ❑ ✽ ❋ ✻ ✾ ❋ ❀ ❋ ❉ ✽ ❑ ❃ ❋ ❍ ❅ ✻ ✽ ❂ ❀ ✿ ❄ ❅ ✽ ✻ ❈ ❀ ✿ ■ ▼ ❃ ❀ ■ ✻ ❋ ✾ ■ ✽ ❋ ❉ ❊ ✻ ✽ ◗ ❆ ❅ ❆ ✻ ❀ ❑ ✼ ■ ❈ ✽ ✾ ❂ ❈ ❀ ❀ ▲ ❈ ❆ ❅ ❈ ❋ ❉ ✿ ❋ ❅ ❉ ❈ ❉ ❇ ❖ ❀ ❈ ❑ ✻ ❂ ✼ ❅ ❀ ❅ ✻ ❀ ❲ ❂ ■ ✻ ✻ ❂ ❇ ❋ ✼ ❉ ❀ ◆ ✿ ✿ ❋ ❀ ❃ ✼ ✾ ❃ ❀ ✽ ✾ ✻ ❈ ❋ ❁ ✾ ▲ ◆ ❋ ❋ ❅ ❉ ❃ ❊ ✾ ❀ ✾ ✾ ✻ ❃ ❋ ✼ ❂ ❋ ❀ ✿ ✽ ❍ ✻ ✽ ❍ ❅ ❆ ✻ ✻ ❀ ❀ ✿ ❀ ❈ ❈ ❈ ❅ ✽ ❅ ✼ ❉ ✻ ❋ ◆ ❈ ❀ ❂ ✷ ❂ ❋ ✽ ❀ ✻ ▼ ❃ ✼ ✾ ❖ Ù ➒ ❰ ➓ ➓ ❮ ➘ ➤ ➙ ➦ ➭ ➣ ➞ ➞ ➞ ➢ ➛ ➠ ➡ ➥ ➡ ➞ ➞ ➬ ↔ ➡ ➡ ↕ ➥ ➫ ➡ ➣ ↕ ➺ ➜ Ø ➡ ➜ ➟ ↕ ↕ ➯ ➞ ➔ ➯ ➞ ↕ à ➓ ➝ ❮ ➟ ↕ ➙ ➢ ➥ ➞ ➔ ➞ ➔ ➟ ➬ ➔ ➛ ➾ ➞ ➼ ➡ ➞ ➠ ➡ ➭ ➠ ➔ ➘ ➓ ➥ ➟ ➞ ➣ ↕ ➝ ↕ ↕ ➥ ➭ ➜ ↕ Ó ➛ ➜ ➜ → ➡ ↕ ➜ ➟ ➛ Ô ➔ ➡ ➝ ➔ ➠ ➙ ➠ ➔ ➣ ➣ ➯ ➞ ➣ ➠ ↕ ➯ ❰ ➔ ➛ ➾ ➟ ➯ ↔ → ➙ ➞ ❮ ➟ ➡ ➛ ➤ ➤ ➞ ➝ ➾ ↕ ➝ ➡ ➣ ➡ ➴ ↕ ➣ ➩ ➞ ➡ ➡ ➣ ➫ ➛ ➯ ➴ ➥ ➡ ➤ ➾ ➠ ➢ ➠ ➯ ➡ ↕ ➯ ↕ ↔ Ô ➫ ↕ ➯ ➠ ➞ ➞ ➟ → ↔ ➞ ➙ ↔ ➡ Ò ➡ ↕ ➔ ➛ ➣ ↕ ➞ ➡ ➔ ➢ ➣ ↔ ➠ ❒ ➣ ➡ ➡ ➣ ➣ ➾ ↕ ➜ ➻ ➡ ➜ ❮ ↕ ↕ ↕ ➯ ➠ ➛ ➢ ➜ ↕ ➔ ➥ ➣ ➴ ➥ ➠ ➾ ➡ ↕ ➥ ↕ ➯ ➙ ➛ ➣ ❰ ➡ ↕ ↕ ➞ ➞ ➛ ➡ ➞ ➜ ➜ ➡ ➠ ➺ ➣ ➭ ➔ ➠ ➟ ➭ ↕ ↕ ➣ ➠ ➫ ➟ ➢ ➟ ➝ ➞ ↔ → ↔ ➔ ➣ ➡ ➣ ↕ ➯ ➞ ➔ ↕ Û ➺ ➔ ➡ Ü ➛ ➡ ➝ ➔ ➯ ➣ ➞ ➡ Û ➜ ➟ ➡ ➣ ↕ ➟ ↕ ↕ ➠ ➝ ➓ ➾ ➝ ➔ ➼ ➞ → ➟ ➤ ↕ ➛ ➤ ↕ ➟ ➛ ➡ ➥ ➞ ➣ ➜ ↕ ➯ ➣ ➥ ↕ ➣ ➜ ➙ ➥ ➞ ➯ ↔ ➛ ➔ ➟ ↕ ↕ ➔ ➙ ➞ ➟ → ➔ ➭ ➭ ➯ ➙ ➟ ➣ ➔ ➠ ↔ ➣ ➾ ➞ ↕ ➜ ➦ ➠ ↔ ➛ ↕ ➠ ➜ ➠ ➔ ➯ ↔ ➔ ➯ ➛ ➣ ➠ ➣ ➠ ➞ ➙ ➣ ➯ ➟ ➠ ↕ ➫ ➺ ➛ ↕ ➞ ➣ ➝ ➟ → ↕ ➟ ➛ ➛ ➒ ➭ ➔ ➙ ↕ ➭ Ù ➣ ➥ ➥ ➡ ➔ Ú ➞ ➣ ➟ ➢ ↕ ➜ ➫ ➯ ↔ ➣ ↕ ➛ ➞ ➛ ➝ ➛ ↕ ➜ ➠ ➠ ↔ ➣ ➯ → ➦ ➯ ➣ ➣ Ù ↕ ↕ ➙ ➔ ➩ ➢ ➡ ➝ ↕ ➞ ↕ ➡ ➝ ➣ à ➥ ➞ ➛ ➡ ↕ ➛ ➥ ➔ ➠ ➯ ➒ ➠ ➜ → Û ➯ ➞ ➣ ➣ ➲ ➞ Ú ➣ ➛ ↔ ↕ ➔ ➽ ➠ ➟ ➠ ➞ ➔ ➛ ↕ ➺ ➟ ➣ ➭ ➡ ↕ ➒ ➡ ➝ ↕ ➛ Û ↕ ➜ ➾ ➟ ➡ Ú → ➠ ➠ ➤ ➳ ➙ ↕ ➣ ↕ ➫ ➾ ➜ ➯ ➫ ↕ ➞ ß ➞ ➯ ➛ ➠ ➔ ↕ ➟ ➟ ➟ ➤ ➤ ➯ ➡ ➳ ➭ ➢ ➜ ➠ ➔ ➺ ➫ ➞ ➛ ↔ ↔ ➞ ➞ ➠ ➾ ➠ ➣ ↕ ➟ ↕ ➡ ↔ ➤ ➣ ↔ ➜ ↕ ➯ ➜ ➞ ➙ ➣ ↕ ➟ ↕ ➽ → ➛ ➛ ➯ ➣ ➟ ➣ ➞ ↔ ➯ ➟ ➩ Ü ➛ ➙ ➛ ➔ Û ➟ ➠ ➣ ➼ ↕ ➾ ➣ Ú ➣ ↔ ➯ ➞ ➻ ➤ ➡ ↕ ➭ ➜ ➞ ➝ ➟ ➔ ➔ ➯ ➙ ➡ Ý ➡ ➔ ➠ ➥ ➜ Þ ➡ ➼ ➔ ➛ ➔ ➥ ➣ ➓ ➫ ➔ ➔ ➟ ➟ ↕ ↕ ➯ ➞ ➾ ➭ ➝ ➜ ➜ ➠ ↕ ➠ Ú ➓ ➯ ➞ ➞ ➥ ➡ ➔ ➝ ➡ ➥ ↔ ➡ ➠ ➔ ➣ ➝ ➝ ➯ ➞ ➛ ➤ ➾ ➡ ➝ ➡ ➜ ↕ ➣ ➩ ➤ ➭ ➓ ➯ ➞ ➥ ➞ ➡ ↔ ➺ ➡ ➛ ➞ ➠ ➣ ➟ ➣ ➛ ↕ ➔ ➼ ➜ ↕ ➔ ➟ ➛ ➡ ➭ ➝ ➠ ➤ ↔ ➥ ➙ ➞ ➞ ➡ ↕ ➔ ➟ ➡ ➟ ➣ ➝ ➣ ➞ ➛ ➞ ➣ ➟ ➥ ➔ → ➛ ➥ ➛ ➡ ➟ ➯ ➔ ↕ ➔ ➠ ➙ ➜ ➯ ➣ ➞ ↕ ➛ ➟ ß ➜ ➣ ➤ ↔ ➔ ➠ ➯ ↕ ↔ ↕ ➡ ➞ ➜ ➔ ➠ ➡ ➣ ➡ ➣ ➛ ↕ ➾ ➜ ➾ ↕ ↕ ➯ ➥ ↕ ➠ ➞ ß ➤ ➔ ➤ ➟ ➾ ➙ ➣ ➔ ➯ ↕ ↕ ➔ ➣ ➜ ➙ ➣ ↕ ↕ ➣ ➜ ➟ ➛ ➣ ➣ ➙ ➠ ➛ ➞ ➤ ➣ ➣ ↔ ➓ ➟ ➝ ↕ ➓ ↔ ➛ ➙ ➓ ➣ ➛ ➔ ➟ ↔ ➜ ↕ ➣ ➔ → ↔ ➣ ➔ ↕ ➝ ➛ ➠ ➞ ➢ ↕ ➣ ↕ ➔ ➜ ➛ ➯ ➯ ➟ ➞ → ➔ ➢ ➟ ➔ ➟ ➠ ➔ ➟ ➔ ➠ ➥ ➭ ↔ ↕ ➠ ➝ ➦ ➣ ➵ ➢ ➛ ↔ ➯ ↕ ➓ ➯ ↕ · ➠ ➣ ↕ ↕ ➡ ➞ ➟ ➭ ➡ ↕ ➵ ➞ ➠ ➣ ➙ ➞ Ú Ü ➦ → á â Ú Ü ➲ ➠ ➔ ➩ · ➠ ➛ ➡ ➔ ➜ ➯ ➛ ➤ ➟ ➜ ➵ ➞ ➠ ➣ ➙ ➞ Ú Ü ➦ → ➳ â Ú Ü ➲ ➠ ➔ ➩ · ➥ ➔ ➥ ↕ ➦ ➯ ➛ ➤ ➟ ➜ ➩ ➵ ➞ ➠ ➣ ➙ ➞ Û Ú ➭ ➯ ➞ ➜ ↕ ➾ ➦ → á â Ú Û ➲ ➠ ➔ ➩ · ↔ ➠ ➠ ➣ ➤ ➾ ↕ ➦ ➯ ➛ ➤ ➟ ➜ ➩ ➵ ➞ ➠ ➣ ➙ ➞ Û Þ Þ ➭ ➯ ➞ ➜ ↕ ➝ ➦ → á â ã Ü ➲ ➠ ➔ ➩ · ↔ ➠ ➠ ➣ ➤ ➾ ↕ ➦ ➠ ß ➤ ➞ ➯ ↕ ➩ ➵ ➞ ➠ ➣ ➙ ➞ Û Þ Þ ➭ ➯ ➞ ➜ ↕ ➝ ➦ → á â Û Þ ➲ ➠ ➔ ➩ · ➢ ➻ ➠ ↔ ➞ ➥ ↕ ➠ ➵ ➞ ➠ ➣ ➙ ➞ Ý Ý Ù ➦ → á â Û Þ ➲ ➠ ➔ ➩ · ➝ ↔ ➞ ➟ ➟ ↕ ➡ ➠ ➵ ➞ ➠ ➣ ➙ ➞ Ú Ü ➦ → á â Ú Ü ➲ ➠ ➔ ➩ · ➥ ➡ ➞ ➣ ↕ ➵ ➞ ➠ ➣ ➙ ➞ Û ä Ù ➭ ➯ ➞ ➜ ↕ Û Þ ➦ → á â Û Þ ➲ ➠ ➔ ➩ · ➞ ➟ ➝ ↔ ➛ ➯ ➯ ➛ ➜ ➠ ➵ ➞ ➠ ➣ ➙ ➞ ➒ Ý Ú ➭ ➯ ➞ ➜ ↕ ➾ ä · ➾ ➛ ➡ ➣ ➠ ➵ ➞ ➠ ➣ ➙ ➞ Ú Ù Û ➣ ➳ ➥ ↕ ➒ · ➤ ➻ ➾ ➛ ➡ ➣ ➠ ➵ ➞ ➠ ➣ ➙ ➞ Ú Þ ä ➭ ➯ ➞ ➜ ↕ ➞ · ➟ ➤ ➣ ➠ ➵ ➞ ➠ ➣ ➙ ➞ Û Ü Ú ➭ ➯ ➞ ➜ ↕ ➜ ↔ · ➟ ➤ ➣ ➠ ➦ ➞ ➟ ➝ ↔ ➛ ➯ ➯ ➛ ➜ ➠ ➩ ➵ ➞ ➠ ➣ ➙ ➞ ➒ Ý ã ➭ ➯ ➞ ➜ ↕ Ù ↔ · ➢ ➞ ➠ ↔ ↕ ➯ ➠ ➦ ➞ ➠ ➯ ↕ ß ➤ ➔ ➯ ↕ ➜ ➩ ➵ ➞ ➠ ➣ ➙ → ã Ú Ü ➣ ➳ ➥ ↕ ➒ · ➡ ➛ ➝ ➲ ➔ ➟ ➭ ➜ ↕ ➺ ➔ ➝ ↕ ➠ ➵ ➥ ➞ ➡ ➻ ➟ ➤ ➣ ➛ ➯ ➠ ➥ ➡ ➔ ➣ ➢ ➞ ➠ ↔ ↕ ➯ · ➢ ↕ ➡ ➜ ➔ ➟ ➭ ↕ ➡ ↕ ➝ ➣ ➯ ➛ ➜ ↕ ➠ ➫ ➠ ➙ ➞ ➢ ➵ ↕ ä Þ à à Ü Û ã ➓ ➓ ➓ ➯ ➜ ➞ ➞ ➞ ↕ ↕ ➡ ➡ ➡ ➡ ➡ ➡ ß ➺ · ➤ ➤ ➢ ➔ ➝ ➾ ➾ ➻ ➔ ↕ ➛ ↕ ➯ ➾ ➛ ➠ ➡ ➡ ➛ ↕ ➡ ➜ ➣ ➙ ➡ ➣ ➣ ➣ ➔ ➛ ➠ ➟ ↕ ➞ ➠ ➫ ➟ ➭ ➠ ➾ ➠ ➣ ➠ ↕ ↕ ➔ ➟ ➠ ➥ ↕ ➡ ➫ ➝ ↕ ➔ ➙ ➟ ↕ ➤ ➝ ➡ ➠ ➾ ➝ ➤ ➓ ➟ ➣ ➔ ➡ ➣ → ➜ ➞ ➯ ➔ ➓ ➔ ↕ ➛ ↕ ➡ ➔ ➟ ➛ ➠ ➜ ➡ ➓ ➭ ➜ ↕ ➠ → ↕ ➜ ↔ ➛ ➠ ➤ ➓ ➞ ➯ ➫ ➻ ➡ ➾ → ➡ ➠ ➛ ➝ ➣ ➙ ➞ ➡ ➯ ➣ ➢ ↕ ➠ ➤ ↕ ➵ ➫ ➝ ➣ ➣ ➣ ➠ ➤ ↔ ↔ ➯ ↕ ➞ ➞ ↕ ➡ ➯ ➡ ➡ ä ↕ à ➙ ß ➣ ➾ ↕ ➤ ➻ ↕ à ➙ ➔ à ➯ ➾ ➣ ↕ ↕ ➙ ➔ ➭ ➯ ↕ ↔ ➠ ➟ ➣ ➣ ➯ ↕ ➠ ➟ ↕ ➥ ↕ ➛ ➯ ➜ → ↕ ➞ ➠ ➔ ➠ ➟ ↕ ➙ ➟ ↕ ➞ ➣ ↕ ➝ ➾ ➜ ➝ ➒ å ➛ ➔ ➓ ➟ ➯ Ú ➒ ➜ ➣ ➓ Û ➞ ↔ ➻ ➟ Ù ➔ Þ ➝ ➠ ➒ ↕ ➜ ➒ ➯ ➾ ➢ ↕ ➞ ➟ ➔ ➢ ➣ ➣ ↔ ➔ ➟ ➾ ➭ ➛ ➞ ➡ ➔ ➠ ➯ ➣ ➝ ↕ ➠ ß ➓ ➨ ➤ ➠ ➔ ➯ ➟ ↕ ➤ ➭ ➡ ➛ ➣ ➝ ➔ ➭ ➲ ↔ ➔ ➟ ➣ ➭ ➨ ä Ý å ❙ ➹ ➓ ➓ ➓ ❖ ➤ → ➟ ❆ ➠ ◆ ➢ ➞ ➞ ➣ ➟ ➛ ➡ ❅ ❀ ➔ ➾ ➣ ➡ ➯ ➡ ✾ ➣ ❂ ↔ ➯ ↕ ➤ ➟ ❈ ◆ ➔ ➫ ➠ ➟ ➝ ➔ ➝ ↕ ✽ ➛ ❉ ➠ ❀ ➣ ➣ ➢ ➞ ❆ ➯ ➯ ❂ ➤ ➣ ➟ ❈ ➛ ➯ ➾ ➥ ❋ ➔ ➛ ➛ ✽ ➜ ➞ ➛ ➯ ❉ ❊ ➣ ➟ ➡ ➤ ❆ ➛ ➡ ↕ ❅ ➓ ➣ ➝ ➣ ➜ ❋ ❉ ➠ ↕ ➯ ➞ ❃ ▼ ➣ ➛ ➤ ➠ ↕ ↕ ➣ ➜ ➠ ❁ ❑ ➝ ↕ ↔ ↕ ↕ ❃ ➝ ✽ ➡ ❉ ↕ ➠ ➙ ❅ ↕ ❈ ➯ ◗ ➟ ➾ ➾ ➠ ➢ ➡ ✽ ➣ ↕ ✽ ❉ ↔ ✾ ➯ ➔ ➳ ➔ ❆ ↕ ➛ ➠ ❉ ➛ ➠ ➔ ↕ ➝ ➥ ❋ ✽ ➟ ➫ ✾ ➔ ➠ ➣ ✻ ➞ ➜ ➜ ↔ ✾ ➔ ↕ ➡ ➫ ■ ✻ ➯ ➞ ➡ ➣ ➠ ❀ ❃ ➡ ➞ ↔ ❃ ➟ ➡ ➢ ➔ ✽ ➟ ✿ ↕ ❍ ↕ ➾ ➣ ✻ ➔ → ➢ ➟ ↕ ➛ ✽ ❂ ✻ ➞ ➭ ▼ ✻ ➝ ➛ ➣ ➙ ➠ ❀ ■ ↔ ↕ → ↕ ❈ ❃ ↕ ➙ ➛ ➠ ➠ ❋ ❋ ➠ ↔ ➾ → ➤ ✼ ❉ ➣ ↕ ➞ → ➣ ➯ ✽ ➯ ❑ ➡ → ↔ ✾ ➤ ➡ ➠ ➔ ✽ ↕ ➝ ✻ ✽ ✻ ➝ ❀ ➠ ❀ ➔ ➟ ↕ ➾ ➣ ❈ ↔ ➤ ➟ ➤ ↕ ❇ ❖ ➞ ➣ ➣ ➯ ❉ ➡ ✾ ↕ ➞ ➥ ❂ ➡ ➡ ■ ❀ → ➯ ↕ ➓ ❀ ➙ ➣ ✾ ➟ ➛ ✿ ↕ ✾ ➞ ➭ ➺ ➯ ✽ ❊ ➔ ➣ ➟ ➔ ✾ ➜ ↔ ✽ ➣ ✿ ➣ ■ ↕ ➞ ❀ ➔ ❅ ➭ ➜ ➣ ✿ ❂ ➔ ➛ ➟ ↔ ❂ ✽ ➣ ❊ ➣ ▼ ➣ ↕ ↕ ➛ ✽ ▲ ❀ ↔ ➟ ➟ ❉ ❈ ↕ ➠ ➔ ❋ ➟ ↕ ➤ ◆ ↕ ➭ ➟ ➯ ✻ à ➭ ✽ ❋ ↕ ✻ ➔ ➔ ➠ ➠ ✼ ❃ ➔ ➟ ➣ ➣ ➝ ✿ ✽ ↕ ❉ ↔ ➔ ➟ ➛ ✼ ↕ ↕ ✻ ➭ ➙ ➯ ✿ ✼ ↕ ➥ ➙ ❇ ❀ ➟ ➡ → ✻ ✾ ↕ ➜ ↕ ➛ ✻ ❀ ➙ ➣ ➯ ➛ ✽ ↕ ❉ ➾ ❈ → ❆ ↕ ➓ ❃ ➯ ➯ ➣ ❅ ❋ ↕ ↔ ◆ ➢ ❃ ➺ ↕ ✽ ➔ ➛ ❉ ↕ ❋ ➾ ➢ ➯ ❆ ■ ➛ ➲ ✾ ❀ ➡ ❉ ➣ ❖ ➥ ➡ ❋ ➯ ➔ ❊ ➟ ➔ ➠ ❳ ❂ ➔ ↕ ➛ ▼ ❅ → ➠ ➯ ❍ ➡ ❊ ➞ ➤ ❇ ❀ ➟ ➣ ➠ ❀ ✽ ➛ ➜ ↔ ✾ ❂ Ù ➘ ➒ ➓ ➓ ❒ → ➥ ■ ➛ ➠ ➣ ➣ ❒ ↕ ↔ ❀ ↔ ➙ ➔ → ➟ ➟ ❃ æ ↕ ↕ ➛ ➔ ➣ ➠ ↕ ❍ ➮ ➛ ➛ ↔ ↔ ➠ Ò ➣ ✽ ➣ ➢ ↕ ✻ ➤ ➯ ➔ ➟ ↔ Ñ ✻ ➾ ➞ ➟ ➾ ➭ ❀ → ➝ ➣ ↕ ➤ ❈ Ò ➛ ➯ ➔ ➔ ➜ ➟ ➛ ➔ ➡ ❋ ➸ ➟ ➠ ➟ ➜ ➔ ❒ ➔ ➠ ➠ ❉ ➣ ➣ ↔ ➔ ➯ ➛ ➟ ❮ ➯ ➤ ✾ ➛ ➭ → ➣ ➞ ➴ ➯ ✽ ✻ ➛ ➛ ➝ ➣ ➾ ➛ ❀ ❰ → ➣ ↔ ↕ ➙ ➢ ❖ ➛ ➔ ↕ ➟ ➜ ➞ ❅ ➟ ➯ ➭ ➯ ➣ ❂ ↕ ➜ ➝ ❂ ➛ ➝ ➠ ➯ ➤ ↔ ➛ ✼ ➛ ↔ ➯ ➛ ❋ → ➟ ➞ ➣ ➔ ➟ ➯ ↔ ➡ ❂ ➠ ➙ ➡ ➭ ❀ ↕ ➤ ➙ ↕ ✾ ➡ ↕ ➙ ➯ ➞ ➝ ➣ ✾ à ↕ ➟ ➾ ➛ ➞ ✼ ➔ ➥ ➯ ➞ ➠ ➟ ➟ ❅ ➞ ➭ ➣ ➞ ➣ ➠ ❂ ➟ ➔ ↕ ➔ ➯ ➣ ➟ ❂ ➣ ↕ ➙ ➯ ➛ ➭ ❑ ➞ ➤ ↕ ❀ ➔ ➙ ➝ ➠ ➡ ➝ ➟ ➡ ✿ ➛ ➞ ➣ ➥ ➣ ❇ ➟ ➔ ➯ ➔ ➓ ➟ ↕ ➛ ✻ ➜ ➝ ➛ ➣ à ➟ ➛ ◆ ➞ ➔ ↔ ➣ ➔ ➠ ➓ ➛ ➔ ➔ ➔ ➟ ➛ ✽ ➣ ➾ ç ✻ ➯ ✼ ➟ ➔ è ➔ ➟ ↕ ➣ ➜ è ➠ ↕ à ➭ ❅ ➔ ➟ ➜ ➔ ➣ é ➠ ❆ ➞ → ➛ ê ➣ ↕ ❃ ➣ ➡ ë à ➔ ➣ ➟ ↕ ➛ ✽ é ❉ ➝ ↔ ➭ ➛ ì ➙ ❈ ↕ ↕ ➯ í ➢ ❀ ➥ ↕ î ➠ ➫ ❃ ➣ ➙ ➞ ì ➞ ➯ ❖ ➯ ➾ ➢ ➣ ➛ ï ➯ ➯ ➔ ↔ ➠ í ➛ ➞ ➞ ð ↕ → ➟ ➟ → í ➞ ➯ ñ ➫ ↕ ➣ ➝ ↕ ò ➳ ➝ ➣ ➯ é ➜ ➓ ↕ ➔ ↕ ñ ➛ ↕ ➔ ➥ ➡ ➟ ➠ ç ➡ ➔ ➟ ➔ ➛ ì ➞ ➭ ➭ ➝ é → ➟ ➫ ↕ ↕ ➣ ì ➞ ➙ ➜ ↔ é ➟ ↕ ↕ ➞ ó ➜ ➟ ➟ ➛ ô ➣ ➜ ➢ ➢ í ì ➞ ➢ ➟ ➞ é ➟ ➡ ↕ õ ➜ ➔ ➣ ➡ ➯ ➽ ↔ ➣ ➛ ➓ ➠ ➛ ➯ ➣ ➤ ↔ ➯ ➯ ➯ ↕ → ↕ ↕ ➞ ➞ ➠ ➥ ➝ ➥ ➤ ➞ ➥ ↕ ➡ ➔ ➯ ➯ ➠ ➣ ➛ ➢ ➞ ➔ ➟ ➺ ➟ ➔ ➣ ➞ ➜ ➞ ↔ ➡ Ú ➓ ➯ ➜ ➠ ➣ ➛ ➯ ➯ ➞ ➛ ➤ ➔ → ➟ ➝ ➣ ➔ ➟ ➣ ➛ ➤ ➭ ➥ ➯ ➥ ↔ ↕ ➞ ➞ ➠ ➣ ➠ ↔ ➣ ↕ ➞ ➞ ➯ ➡ ➡ ➟ ➠ ➡ ➠ ➾ ↕ ➔ ➭ ➠ ↔ ➥ ↔ ➡ ➣ ➞ ➤ ➡ ➠ ➙ ➡ ➡ ➾ ➟ ➛ ➛ ö ➥ ➣ ↕ ➡ ↕ ➾ ➣ ➺ ↕ ➛ ↕ ➢ ➛ ➡ ➾ ➞ ➦ ➠ ➠ ➯ ↔ ➣ ➜ ➯ ➔ ➙ ➠ ➤ ➞ ↕ ➝ ➠ à ➣ ↕ ➔ ➯ ➠ ➜ ↕ ➣ ß ➔ ➛ ➟ ➤ ➯ ➭ ➔ ➯ ➜ ➯ ↕ ➔ ➛ ➠ ➜ ➣ ➛ ➩ ➓ ➤ → ➯ ➜ ➾ ➯ ↕ ➜ ➞ ➔ ➟ ➦ ➺ ➠ ↕ ➓ ➯ ➞ ➔ → ➡ ➡ ➳ ↕ ➔ ➟ à → ➔ ➠ ➔ ↕ ➣ ➡ ➔ ➟ ➜ ➭ ➩ ➓ ➞ ➯ ➟ ➛ ➣ ➛ ↕ → ➟ ➟ ➜ ➞ ➯ ➞ → ➔ ➯ ➟ ➞ ➠ ➙ ö ↕ ➠ ➯ ➛ ➞ ➟ ➛ ➜ → ÷ ø ý ù þ ú û ÿ ü ù ✁ ✂ ✄ ☎ ✁ ✂ ✆ ✟ ✌ ✞ ✁ ✍ ✠ ✆ ✂ ✆ ✝ ✝ ✆ ✁ ✡ ✞ ✁ ✁ ✞ ✄ ✝ ✟ ✄ ✁ ☎ ✠ ☛ ☞ ✆ ✂ ☛ ✞ ✆ ✟ ✁ ✠ ✆ ✝ ✌ ✞ ✍ ✂ ✆ ✂ ✆ ✍ ✍ ✖✗✖ ✔ ✑ ✎ ✒ ✓ ✔ ✏ ✑ ✔ ✒ ✓ ✔ ✑ ✝ ☛ ✞ ☛ ✟ ✘ ☎ ✆ ✒ ✑ ✆ ✞ ✏ ✏ ☞ ✓ ☞ ✎ ☛ ✁ ✞ ☞ ✔ ✒ ✍ ✑ ✑ ✏ ✒ ☛ ✙ ✓ ✓ ✕ ✔ ✆ ✞ ☛ ✞ ✒ ✑ ✔ ✒ ✓ ✕ ✒ ✑ ✏ ✒ ✓ ✎ ✑ ✘ ✌ ✠ ✌ ✠ ✄ ✂ ✟ ☛ ✟ ☎ ✌ ✆ ✚ ✂ ☛ ✆ ☞ ✄ ☛ ✞ ✍ ✛ ☎ ✆ ✞ ✑ ✝ ☛ ✘ ✆ ✞ ☞ ☛ ✁ ✞ ☞ ✍ ☛ ✙ ✆ ✞ ☛ ✞ ☛ ✞ ✟ ☎ ✆ ☞ ✝ ☛ ✌ ✘ ✁ ✆ ✂ ✄ ✄ ✆ ✜ ☞ ✄ ✌ ☎ ✒ ✒ ✢ ✞ ✏ ✁ ✒ ✓ ✓ ✓ ✝ ✒ ✂ ✒ ✒ ✣ ✌ ✣ ✣ ✆ ✜ ✝ ✏ ✒ ✓ ✓ ✔ ✎ ✒ ✒ ✤ ✑ ✓ ✒ ✓ ✒ ✕ ✣ ☞ ✒ ☎ ✒ ✢ ✑ ✤ ✒ ✓ ✁ ✒ ✓ ✒ ✒ ✒ ✓ ✏ ✓ ✕ ✒ ✣ ✜ ✣ ✒ ✓ ✥ ✥ ✄ ✣ ✥ ✒ ✒ ✒ ✣ ✥ ✑ ✒ ☞ ✒ ✥ ✦ ✤ ✑ ✓ ✂ ✓ ✓ ✒ ✒ ✒ ✕ ✓ ✁ ✒ ✣ ✕ ✣ ✄ ✤ ✦ ✓ ✓ ✒ ✕ ✕ ✘ ✝ ☛ ☛ ☞ ✞ ✄ ✧ ✌ ✆ ✞ ✝ ✟ ✍ ✆ ✆ ✒ ✒ ✒ ✒ ✦ ✑ ✑ ✑ ✑ ✏ ✓ ✒ ✒ ✒ ✕ ✓ ✓ ✓ ✓ ✕ ✎ ✔ ✎ ✟ ✑ ✟ ☞ ✠ ✌ ✟ ☛ ✞ ✍ ✔ ✔ ✒ ✒ ✑ ✑ ✑ ✑ ✦ ✏ ✤ ✒ ✒ ✓ ✓ ✓ ✓ ✔ ✕ ✎ ✕ ✤ ✑ ☞ ✄ ☎ ☎ ✆ ✆ ✁ ★ ✜ ✠ ☞ ✄ ✂ ✆ ✌ ✝ ☞ ✞ ✂ ✛ ☞ ✁ ☎ ✄ ✆ ☎ ✞ ✁ ✝ ✂ ✆ ✆ ✠ ☞ ☛ ✟ ☞ ☎ ✄ ✆ ✌ ✝ ✂ ✂ ✁ ✁ ✞ ✞ ✂ ✡ ✏ ☎ ✞ ✂ ✛ ✁ ✆ ★ ✌ ✟ ✌ ✄ ☞ ✙ ✩ ☎ ✡ ✆ ☎ ✜ ✆ ✚ ✞ ✟ ✆ ✁ ✛ ✞ ✞ ✓ ✆ ✆ ✚ ✟ ☛ ☞ ✄ ✄ ✆ ✝ ☛ ✞ ✍ ✘ ☞ ✄ ✆ ✜ ✘ ★ ✟ ✆ ✄ ✜ ★ ☞ ✜ ✌ ✂ ✪ ✫ ✬ ✭ ✮ ✯ ✰ ✱ ✲ ✰ ✪ ✯ ✳ ✳ ✴ ✵ ✱ ✁ ✰ ✂ ✫ ✄ ✶ ✷ ✶ ✸ ✹ þ ✶ ✺ ✻ ✼ ý ✿ ✺ ❀ ✻ ❁ ❂ ù ❃ ✽ ❄ ✾ ❅ ✼ ❆ ✽ ✪ ✫ ✬ ✭ ✮ ✯ ✰ ✳ ✪ ✭ ✪ ✮ ❇ ❈ ✯ ✳ ❇ ✴ ❉ ❑❏■❍● ☎ ✘ ✌ ✆ ✞ ✌ ☛ ✄ ✍ ✍ ✟ ✂ ☎ ☎ ✆ ✄ ❊ ù ❋ ù ▼÷✗▲❍ ■❑✗◆▼❑ ✏ ✑ ✣ ✒ ✓ ✔ ✔ ✒ ✧ ✧ ✜ ✠ P ✝ ✄ ✌ ✜ ☎ ✂ ✆ ☛ ✆ ☛ ✘ ✂ ✆ ❖ ✁ ✂ ✆ ✝ ★ ✙ ✞ ✝ ☛ ☛ ✝ ✝ ✜ ☞ ☛ ✘ ✌ ✆ ✆ ☛ ☛ ✘ ✁ ✞ ✆ ✝ ✘ ✆ ✞ ✝ ✞ ✆ ✧ ✞ ☞ ☞ ✞ ☞ ✞ ☛ ✁ ✄ ✁ ☛ ✁ ✁ ☞ P ✞ ✞ ✄ ✧ ☞ ✠ ☞ ☛ P ✟ ✜ ✡ ✜ ✁ ✁ ✆ ✠ ✞ ✠ ✠ ✆ ✜ ✁ ✄ ✜ ✞ ✁ ✜ ☞ ✆ ✍ ✌ ✙ ✆ ☞ ✟ ✝ ☛ ☛ ✞ ✝ ✆ ✄ ✆ ✆ ✞ ✘ ✁ ✆ ✝ ✄ ✆ ✜ ✜ ✆ ✘ ✝ ✌ ☞ ☛ ✜ P ✆ ☎ ☛ ✆ ✜ ✞ ✌ ✝ ☞ ✂ ✂ ✄ ☛ ✘ ☞ ✛ ☎ ✄ ✙ ☛ ✞ ✆ ☛ ✄ ✌ ✆ ☞ ☎ ✞ ☛ ✘ ✜ ✆ ✟ ☛ ✞ ★ ☛ P ✆ ✘ ✄ ✡ ✄ ☞ ✌ ☎ ✆ ✆ ✜ ✌ ✂ ☞ ✚ ✜ ✆ ✆ ✆ ☛ ❖ ✆ ☞ ☞ ✄ ★ ✝ ✜ ☛ ✂ ✌ ✞ ☛ ✜ ✆ ✌ ✜ ✍ ✆ ☞ ✛ ✆ ✘ ☞ ✟ ✆ ☛ ✞ ✌ ✁ ✞ ✍ ✄ ☛ ☞ ✄ ✞ ☎ ☞ ☞ ✟ ✝ ✌ ✘ ✧ ✞ ☛ ✄ ✘ ✌ ☛ ✌ ✁ ✡ ☛ ✄ ✞ ✟ ✞ ☎ ✙ ✄ ☛ ☞ ✘ ✁ ✌ ★ ★ ☞ ✌ ✘ ☛ ✞ ✆ ✂ ✏ ✧ P ✌ ✌ ✜ ☞ ✁ ✁ ✌ ✘ ✙ ✞ ✆ ✄ ✌ ☎ ✄ ✂ ☎ ✆ ✄ ✆ ✆ ✌ ✜ ☎ ☛ ☞ ✞ ✆ ✟ ✌ ✚ ✄ ✘ ✞ ☛ ✙ ☛ ✞ ★ ✆ ☛ ✄ ✘ ✄ ✧ ★ ✁ ✌ ✘ ✂ ★ ✂ ☞ ✜ ✆ ☛ ✞ ❖ ✁ ✍ ★ ✂ ✌ ✄ ☛ ✜ ☞ ✂ ✆ ✁ ✘ ✘ ✟ ★ ✆ ✩ ☞ ✞ ✛ ✄ ✄ ☞ ✌ ☎ ✧ ☞ ✌ ☎ ✙ ✆ ✆ ✜ ✂ ✠ ✁ ✌ ✟ ✂ ✩ ✑ ✞ ☛ ✞ ★ ✍ ✄ ☞ ✝ ✆ ✟ ✙ ✌ ✞ ☛ ✟ ✆ ☞ ✆ ☛ ☛ ✞ ✞ ☞ ☞ ✄ ✄ ✌ ✌ ✂ ✂ ✂ ✂ ✜ ✆ ✆ ✡ ✝ ✝ ✎ ✧ ✁ ✌ ✌ ✆ ☞ ✝ ✙ ✝ ✆ ✌ ✠ ✜ ✠ ✌ ☛ ✄ ☞ ✠ ✜ ☛ ✁ ✜ ☛ ✄ ◗ ✞ ✁ ✆ ✁ ✌ ✝ ✙ P ✂ ✆ ✁ ✄ ☎ ✝ ✜ ☎ ✌ ✆ ✜ ☞ ✝ ✂ ✌ ✁ ✆ ☞ ✞ ✄ ☞ ✄ ✆ ✆ ✆ ✘ ✝ ✝ P ✂ ☎ ✂ ✡ ✌ ✁ ✄ ✧ ✂ ✆ ✛ ☞ ✌ ✌ ☞ ✜ ☎ ✆ ✆ ✜ ✠ ☞ ✜ ✆ ✘ ☞ ✌ ✆ ✡ ✞ ✄ ✆ ✧ ✆ ✜ ✚ ✆ ☛ ☞ ❖ ✄ ★ ☛ ✞ ☛ ✜ ✍ ✆ ✟ ✝ ✁ ☛ ✞ ✞ ✝ ✟ ✌ ☛ ✄ ☞ ☛ ✁ ✆ ✞ ☞ ☞ ✛ ☞ ☎ ☎ ✆ ✌ ✜ ✂ ✆ ✂ ✡ ✄ ☎ ✆ ✆ ✁ ✜ ✧ ✦ ✮ ✮ ✩ ✦ ✩ ✐ ✭ ✪ ✰ ✢ ❝ ✢ ✪ ✦ ✪ ✰ ✢ ✣ ✮ ✺ ★ ✸ ✵ ✩ ✯ ✪ ✸ ✪ ✢ ✵ ✷ ✩ ✪ ✣ ✷ ♠ ✢ ✮ ✦ ✸ ✰ ✪ ✮ ✰ ✯ ✢ ✵ ✧ ✷ ✥ ✸ ✥ ★ ✯ ✷ ✧ ✵ ✷ ✪ ✣ ✩ ✥ ★ ★ ✪ ✢ ✢ ✢ ✩ ✣ ✩ ✣ ✮ ❏ ✪ ❴ ✦ ✹ ✪ ✩ ✧ ✣ ✭ ✣ ✦ ✮ ✰ ✪ ✹ ✪ ✮ ✵ ✦ ✸ ✢ ✩ ✣ ✰ ✦ ✰ ✪ ✪ ✧ ✪ ♠ ✣ ✣ ★ ★ ✰ ✰ ✷ ✷ ✮ ✥ ✥ ✦ ✸ ✩ ✫ ✫ ✰ ✰ ✬ ✬ ✧ ✺ ❧ ✯ ★ ✸ ✩ ✪ ✵ ✥ ✹ ✰ ✩ ✺ ✧ ✪ ✦ ✮ ✣ ✦ ✩ ✪ ✪ ✮ ✺ ✦ ✩ ✢ ✭ ✢ ✰ ✣ ✩ ✸ ✮ ✢ ✸ ★ ✥ ✮ ✵ ✸ ✷ ✦ ✷ ✹ ✪ ✯ ✷ ✮ ✣ ✧ ♠ ✺ ✷ ✩ ★ ✥ ✷ ✩ ✯ ❝ ✸ ✥ ✮ ✮ ✹ ✪ ✫ ❴ ✪ ✦ ✣ ✪ ✢ ✵ ✰ ✣ ✣ ✣ ✰ ✪ ✮ ✸ ✹ ✮ ✐ ✪ ✦ ✦ ✩ ✢ ✦ ✩ ✰ ✣ ✰ ✢ ✪ ✪ ✣ ✣ ✩ ★ ✰ ✩ ✮ ✪ ✦ ✵ ✢ ✩ ✣ ✪ ✰ ♠ ✫ ✮ ★ ✦ ✩ ❚ ✸ ✮ ✮ ✪ ✰ ✴ ✸ ✬ ✩ ✷ ✪ ✺ ★ ✯ ✢ ✸ ✣ ✮ ❴ ✪ ❴ ✣ ✬ ✰ ✥ ✮ ✦ ✷ ✦ ✪ ✩ ✰ ✧ ✢ ❏ ✸ ✣ ✹ ✢ ✦ ✦ ✭ ✰ ✦ ✺ ✯ ✮ ✸ ✪ ✦ ✩ ✰ ✢ r ✪ ✪ ✦ ✰ ✵ ✥ ✣ ✣ ✮ ✯ ✢ ✪ ✩ ✰ ✺ ✸ ❴ ✢ ✣ ✩ ✷ ✧ ✰ ✷ ✭ ✐ ✣ ✣ ❴ ✣ ✪ ✧ ✢ ✵ ✩ ✸ ✸ ✣ ✢ ✷ ✮ ❥ ✰ ✢ ✯ ✧ ✥ ✭ ✩ ✣ ✪ ✦ ✰ ✮ ✭ ✫ ✪ ✦ ✩ ✺ ✢ ✣ ✢ ✰ ✸ ✪ ✫ ✣ ✯ ✵ ✮ ✧ ✪ ✩ ✩ r ✸ ✧ ✩ ✢ ★ ✦ ✢ ✮ ★ ✮ ✢ ✪ ✰ ✵ ✩ ✵ ✩ ✸ ❏ ✣ ✷ ✪ ✦ ✷ ✦ ✰ ✧ ✰ ✮ ✺ ✣ ✺ ✥ ✭ ✸ ✸ ✬ ✸ ✷ ✰ ✫ ✥ ✷ ❝ ✷ ✦ ✪ ✯ ✪ ✯ ✵ ✸ ✫ ✵ ✸ ✷ ✣ ✸ ✰ ✣ ✪ ✰ ✺ ✺ ✵ ✺ ✣ ✦ ✩ ✬ ✣ ✮ ✧ ✷ ✮ ✮ ✣ ✭ ✪ ✵ ✯ ✩ ✵ ✸ ✩ ✸ ✢ ✷ ✪ ★ ✷ ★ ❝ ✹ ✬ ✢ ✩ ✣ ✣ ✣ ❴ ✭ ✢ ✮ ✪ ✣ ✥ ✪ ✣ ✵ ✬ ✰ ✢ ✣ ✫ ✮ ✣ ✦ ✦ ✤ ✩ ✩ ✪ ✥ ✢ ✪ ✰ ✣ ✦ ✦ ✦ ✢ ✺ ✰ ✧ ✣ ✦ ✺ ✐ ✰ ✧ ✸ ✬ ✸ ✷ ✩ ✰ ✧ ✷ ✧ ✪ ✣ ✮ ✮ ✸ ✐ ✦ ★ ✺ ✫ ★ ✰ ✸ ✢ ✪ ✧ ✩ ✯ ✢ ❏ ✵ ✸ ✣ ❴ ✹ ✧ ✫ ✸ ✦ ✬ ✰ ✢ ❝ ✺ ✶ ✪ ✮ ✦ ✰ ✵ ✣ ✺ ✣ ✦ ✪ ✮ ✣ ✵ ✰ ✮ ✣ ✺ ✵ ✢ ✸ ✦ ✰ ✮ ✷ ✣ ✪ ✷ ✣ ✸ ✬ ✢ ✪ ✣ ✦ ✰ ✩ ✺ ✭ ✴ ✯ ✩ ✰ ✮ ✪ ✢ ✥ ✯ ✪ ✦ ✩ ✰ ✯ ✩ ✫ ★ ✷ ✦ ✸ ✰ ✯ ✣ ✷ ✣ ✪ ✪ ✣ ✢ ★ ✢ ✹ ✸ ✸ ✘ ✢ ✣ ✯ ✦ ✷ ✪ ✣ ✤ ✎ ✯ ✣ ✵ ✮ ✥ ✩ ✪ ✩ ✣ ✗ ✪ ✦ ✢ ✢ ✰ ✥ ✣ ✧ ✣ ✕ ✪ ✪ ✢ ✸ ✫ ✲ ✩ ★ ✰ ✭ ✣ ✓ ✢ ✢ ✰ ✯ ✰ ✦ ✩ ✣ ✎ ✩ ✣ ✪ ✫ ✮ ✸ ✢ ✹ ✖ ✯ ✩ ✪ ✦ ✣ ✪ ✵ ✵ ✭ ✩ ✗ ✵ ✣ ✭ ✢ ✪ ✕ ✦ ✸ ✰ ✵ ✺ ✯ ✮ ✱ ✧ ✣ ✣ ✩ ✪ ✥ ✰ ✢ ✣ ✰ ✳ ✮ ✣ ✯ ✰ ✮ ✪ ✢ ✓ ✮ ✣ ✣ ✢ ✸ ✯ ✢ ✰ ❝ ✷ ✕ ✪ ✮ ✭ ✯ ✮ ✐ ✩ ★ ✑ ✪ ✎ ✩ ✣ ✢ ✸ ✰ ✯ ✰ ✖ ✦ ✪ ✦ ✰ ✧ ✭ ✢ ✮ ✦ ✸ ✸ ✯ ★ ✢ ✯ ✸ ✣ ✧ ✪ ✪ ✯ ✮ ✩ ✦ ✪ ✩ ✢ ✸ ✦ ✰ ✩ ✰ ✮ ✐ ✰ ✧ ✸ ✪ ★ ✷ ✸ ✪ ✪ ✥ ✪ ✵ ✣ ✦ ✢ ✣ ✰ ✢ ★ ✮ ✺ ✰ ✩ ✣ ✸ ✪ ✮ ✫ ✪ ✵ ✣ ✦ ✸ ✩ ✮ ❏ ✪ ✧ ✣ ✸ ✦ ✪ ✰ ★ ✭ ✵ ✦ ✢ ✧ ✯ ✣ ✣ ✸ ✮ ❴ ✹ ✪ ✵ ✪ ✦ ✣ ✩ ✸ ✩ ✰ ✷ ✢ ✰ ✷ ✮ ✶ ✧ ✦ ✬ ✫ ✩ ✢ ✣ ✸ ✰ ✸ ✰ ✸ ✦ ✹ ✰ ✮ ★ ✺ ✦ ✵ ★ ✰ ✷ ✦ ✫ ✺ ★ ✦ ✣ ✣ ✮ ✹ ✧ ✪ ♠ ✸ ✵ ✦ ✦ ✰ ✰ ✮ ✩ ✯ ✧ ✸ ★ ✷ ✯ ✮ ✣ ✥ ✢ ✯ ✧ ✸ ✭ ✩ ✦ ✢ ✰ ✩ ✢ ✣ ✺ ✢ ✧ ✰ ✫ ✷ ✸ ✩ ✦ ✰ ✣ ✮ ✪ ✧ ✯ ✪ ✸ ✦ ✣ ✰ ✦ ✰ ✷ ✺ ✹ ✷ ✩ ✦ ✸ ✪ ✹ ✧ ✵ ✧ ✣ ✪ ✧ ✦ ✪ ✵ ✦ ✣ ✩ ✰ ✸ ✷ ✰ ✴ ✸ ★ ✩ ✮ ✪ ❴ ✦ ✰ ✮ ✪ ✸ ✷ ✷ ★ ✣ ✵ ✧ ✩ ✸ ✪ ✰ ✩ ✯ ✺ ✵ ✢ ✩ ✸ ✢ ★ ✢ ✵ ✩ ✮ ✧ ★ ✥ ✷ ✷ ✪ ✣ ✮ ✪ ✮ ★ ★ ★ ★ ✯ ✸ ✩ ✢ ✵ ✩ ✢ ✩ ✩ ✮ ✰ ✪ ✪ ❏ ✪ ✮ ✦ ❴ ✩ ✦ ✪ ✣ ✦ ✧ ✰ ✢ ✺ ✮ ✣ ✮ ✥ ✢ ✧ ✪ ✪ ✯ ✸ ✩ ✸ ✦ ✪ ★ ✰ ✷ ✪ ✦ ✵ ✧ ✷ ✩ ✵ ✣ ✮ ✦ ✰ ✯ ✣ ✧ ✮ ✐ ✸ ✫ ✵ ✸ ✪ ✪ ✩ ✰ ✸ ✦ ✵ ✰ ✧ ✷ ✯ ✣ ✺ ✷ ✦ ✵ ✭ ★ ✬ ✪ ✩ ✦ ✵ ✯ ✣ ✣ ✢ ✩ ✸ ✮ ✮ ✪ ✪ ✢ ✪ ✥ ✩ ✦ ✩ ✦ ✩ ✰ ✬ ✮ ✧ ✰ ✺ ✫ ✮ ✮ ✦ ★ ✢ ✪ ✵ ✮ ✢ ✪ ✣ ✸ ✵ ✩ ✣ ✮ ✷ ✸ ✧ ✯ ✥ ✷ ✷ ✣ ✷ ✬ ✷ ✪ ✪ ✮ ✩ ✣ ✬ ✮ ✮ ✣ ✩ ✐ ✪ ✐ ✵ ✢ ✪ ✣ ✣ ✺ ✮ ✸ ✫ ✪ ✰ ✦ ✣ ✦ ✦ ❦ ✰ ✧ ✣ ✮ ✬ ✧ ★ ❝ ✣ ✦ ✰ ✸ ✯ ✪ ✸ ★ ✩ ✥ ✫ ✢ ✷ ✸ ✷ ✐ ✰ ★ ✪ ✰ ✵ ✣ ✣ ✩ ✮ ✢ ✪ ✪ ✩ ✪ ✦ ✰ ✵ ✮ ✮ ✸ ✮ ★ ✪ ✵ ✣ ✣ ✸ ✯ ✸ ✷ ✪ ✷ ✮ ✩ ✦ ✧ ✷ ✢ ❝ ✩ ✸ ✯ ✦ ✧ ✰ ✥ ✣ ✧ ✫ ✰ ✸ ✣ ✪ ✰ ✢ ✦ ✭ ✪ ✣ ✦ ✣ ★ ✸ ✮ ✩ ✷ ✷ ✪ ✢ ✵ ★ ✪ ✣ ✵ ✮ ✸ ✣ ✵ ✮ ✴ ✸ ✣ ✸ ✷ ✮ ✷ ✯ ✪ ✩ ✬ ✣ ✭ ✷ ✩ ✪ ✯ ✵ ✸ ✣ ✪ ✦ ✩ ✰ ✰ ✰ ✸ ✸ ✬ ✩ ✷ ✪ ✵ ✩ ✷ ✣ ✦ ✰ ✮ ✭ ✩ ✪ ✸ ✥ ✷ ✰ ✷ ✧ ✸ ✸ ✪ ✪ ✦ ✩ ✦ ✩ ✰ ✰ ❏ ✮ ✣ ✣ ✢ ✸ ✦ ✭ ✷ ✦ ✣ ✯ ✢ ✸ ✪ ✦ ✩ ✰ ✢ ✣ ★ ✩ ✢ ✪ ✦ ★ ✩ ✪ ✰ ✵ ✵ ✭ ✮ ✩ ✣ ✪ ✪ ✪ ✸ ✵ ✫ ✩ ✷ ✣ ✦ ✷ ✺ ✦ ★ ✰ ✣ ✢ ✵ ✧ ✮ ✸ ✩ ★ ✸ ★ ✣ ✪ ✵ ✮ ✯ ✩ ✦ ★ ✯ ✪ ✐ ✸ ✩ ✧ ✢ ✢ ✩ ✪ ✮ ✯ ✩ ✵ ✥ ✭ ✸ ✫ ✷ ✪ ✣ ✷ ✵ ✰ ✣ ❏ ✪ ✣ ✸ ✫ ✢ ✪ ✩ ✦ ✦ ✭ ✩ ✧ ❝ ✰ ✦ ✭ ✪ ✦ ✩ ✯ ✵ ✭ ✸ ✣ ✪ ✪ ✦ ✦ ✰ ✵ ✩ ✮ ✣ ✰ ✪ ✭ ✐ ✸ ✩ ✪ ✷ ✵ ✥ ✷ ✣ ✸ ✰ ✪ ✧ ✫ ✦ ✸ ✩ ✦ ✪ ✦ ✰ ✰ ✦ ✩ ✮ ✸ ✰ ★ ✰ ✣ ✧ ✮ ✯ ✣ ✪ ✪ ✸ ✦ ✩ ✺ ✷ ✢ ✦ ✵ ✰ ✪ ✮ ✺ ✰ ✵ ✮ ✣ ✸ ✵ ✮ ✷ ✮ ✸ ✷ ✷ ✩ ✷ ✷ ✩ ✭ ✬ ✩ q ✣ ✮ s ✦ t ✣ ✰ ✰ ✯ ✩ ✪ ✷ ✭ ✥ ✵ ✸ ✧ ✣ ✷ ✣ ✰ ✷ ✧ ✥ ✰ ✦ ✪ ✩ ✰ ✸ ✰ ✪ ✰ ✵ ★ ✧ ✣ ✢ ❏ ✣ ✫ ✣ ❴ ✦ ✪ ✢ ✢ ✣ ✦ ✣ ✭ ✰ ❝ ★ ✮ ✩ ✦ ✪ ✩ ✢ ✵ ✰ ✪ ✣ ✣ ✐ ✧ ✬ ✩ ✬ ✷ ✩ ✪ ✷ ✪ ✮ ⑨ ✈ ✇ ❺ ① ❺ ② ⑦ ④ ③ ⑤ ⑨ ④ ✴ ⑤ ⑩ ① ⑦ ② ② ⑤ ✇ ⑥ ❻ ⑦ ✇ ④ ⑧ ① ✇ ② ⑧ ⑧ ① ⑤ ⑨ ❻ ⑦ ✫ ❺ ⑦ ✦ ② ⑩ ✦ ✰ ② ❻ ✮ ❼ ❶ ★ ② ❸ ✣ ❷ ❻ ✯ ④ ② ❶ ✪ ❸ ⑥ ✩ ② ✇ ✢ ❹ ① ✢ ② ❺ ✣ ➂ ❶ ✧ ⑨ ④ ❻ ✷ ❶ ❶ ✦ ② ✰ ✇ ❺ ✣ ❻ ② ✩ ✇ ❶ ① ✢ ❼ ② ❻ ✢ ❶ ⑧ ✣ ③ ✇ ✯ ⑨ ④ ❽ ✩ ❶ ➃ ✇ ✢ ❿ ✧ ❻ ② ❼ ❶ ✧ ❶ ⑤ ✢ ❻ ❻ ✸ ❶ ❽ ✹ ⑧ ⑧ ✦ ✇ ✰ ❻ ❶ ✺ ❽ ❾ ❚ ✇ ⑤ ✮ ① ✇ ❯ ② ④ ❻ ③ ❽ ④ ❿ ⑨ ⑤ ⑦ ① ✵ ✢ ✧ ✪ ⑦ ② ✵ ✩ ✣ ✢ ❺ ⑤ ⑨ ★ ✣ ✸ ✷ ⑥ ✣ ✩ ❶ ✹ ⑦ ✫ ④ ✇ ✢ ⑧ ✮ ✦ ✦ ④ ✰ ✇ ② ✪ ✦ ✦ ❦ ✰ ✺ ⑧ ♠ ⑧ ✣ ✦ ✮ ① ✇ ✰ ✸ ★ ⑨ ✸ ❻ ✯ ✰ ✣ ⑦ ✰ ✷ ✇ ✧ ⑦ ✯ ✧ ✥ ① ⑩ ✪ ✪ ② ✧ ✯ ② ✩ ✵ ✦ ③ ✩ ✰ ✢ ✣ ⑩ ❻ ✰ ✺ ❶ ✸ ✮ ❹ ❻ ✧ ✯ ✪ ✵ ④ ❾ ✦ ❼ ✵ ✪ ✪ ✸ ④ ➃ ⑤ ✦ ✥ ✣ ✷ ✩ ① ⑨ ✷ ✸ ✰ ✮ ✇ ✇ ✷ ✩ ✥ ④ ✐ ✇ ❻ ✯ ✪ ✬ ❻ ★ ❽ ✵ ✩ ✮ ★ ✇ ⑧ ✣ ✣ ✫ ✩ ① ① ✢ ✢ ② ✫ ★ ⑨ ❏ ⑨ ✪ ✷ ✦ ⑦ ✣ ✣ ✦ ⑦ ✢ ✇ ✰ ✪ ✇ ✸ ❾ ✣ ✺ ✣ ② ✰ ❽ ★ ❽ ✧ ★ ❹ ✩ ✧ ✇ ✵ ② ✦ ✢ ④ ✢ ✰ ❻ ❶ ✩ ✪ ✮ ✣ ❽ ⑧ ✪ ✮ ★ ✪ ✇ ✩ ❻ ⑨ ✸ ✵ ✩ ❼ ✺ ❽ ✷ ✸ ✢ ✢ ✇ ✷ ❹ ✷ ✪ ① ✸ ✸ ⑨ ✷ ② ✸ ✪ ★ ⑦ ✯ ✦ ✰ ⑦ ✵ ⑧ ✩ ✩ ❝ ✇ ❶ ✮ ✰ ✰ ❶ ② ✐ ✧ ✐ ✪ ❾ ➀ ✦ ✸ ⑤ ✮ ❾ ✦ ✇ ✯ ④ ✰ ❶ ❾ ✢ ② ❶ ✪ ✣ ③ ✵ ② ★ ➁ ② ✣ ⑧ ✸ ❽ ✇ ✯ ✰ ✇ ❶ ✩ ✯ ⑧ ❾ ✦ ⑨ ✫ ⑤ ✣ ❽ ✇ ★ ✮ ❾ ❹ ✷ ✬ ❶ ✣ ④ ✣ ❽ ② ✪ ✪ ⑧ ✣ ❻ ❺ ✹ ✧ ❸ ② ✣ ⑤ ✬ ❽ ✣ ✇ ✩ ② ✰ ④ ❶ ❻ ✷ ✪ ⑨ ✪ ❽ ➁ ✵ ❽ ✦ ❹ ✰ ✣ ❹ ❻ ✮ ✯ ② ⑤ ✪ ❻ ❾ ✩ ✸ ❶ ③ ✷ ✰ ✷ ⑨ ② ✪ ✸ ❽ ⑧ ✢ ✪ ✇ ✸ ⑧ ⑨ ✦ ✩ ✯ ❻ ✇ ✰ ✪ ❻ ④ ❻ ✩ ❽ ❏ ❽ ✢ ⑨ ✣ ✇ ✉ ⑧ ✮ ✢ ① ⑨ ✦ ❺ ✢ ✭ ❻ ✇ ✦ ✣ ✯ ⑧ ④ ✧ ⑧ ✸ ⑧ ✷ ④ ✪ ⑩ ✦ ✰ ✦ ⑦ ✩ ✣ ② ✰ ❿ ➄ ❙ ❖ ➅ P ✿ ✻ ❅ ✽ ➆ ❉ ❆ ✼ ■ ❋ ✾ ✿ ➅ ❀ ■ ❉ ✻ ❘ ❂ ▲ ❅ ✾ ➇ ❍ ✽ ❅ ✿ ❂ ✻ ➈ ✽ ❂ ❃ ✾ ❅ ❅ ✽ ❇ ✾ ❑ ➉ ◆ ✻ ❂ ✿ ❅ ✽ ❀ ❀ ❋ ✻ ❉ ❂ ❉ ✽ ❋ ✽ ❉ ❂ ❋ ❉ ❈ ◆ ❅ ❉ ❇ ✾ ❃ ❅ ❲ ✾ ✾ ❀ ✾ ❅ ✻ ✽ ■ ✻ ❃ ❉ ❋ ✿ ❀ ▼ ▼ ❋ ❃ ❄ ✾ ✻ ❉ ✽ ❉ ✽ ✻ ✾ ✾ ✾ ✾ ❅ ❇ ✻ ■ ❅ ❉ ❅ ❃ ❀ ❉ ❈ ❂ ❇ ✿ ❈ ❅ ✿ ❅ ✻ ❃ ✻ ❅ ❉ ✽ ❈ ❋ ❀ ❈ ❈ ✾ ❉ ❈ ❈ ➊ ✼ ✽ ❈ ❅ ✻ ❅ ✽ ❉ ❉ ❋ ✽ ❋ ❉ ❈ ✿ ❉ ❈ ❅ ❇ ❅ ✾ ❅ ✿ ❍ ✾ ❲ ❂ ✿ ❋ ❀ ❋ ❈ ■ ❉ ❉ ❀ ❀ ❃ ✻ ❃ ✾ ❈ ✽ ❉ ✾ ✻ ❅ ✽ ✾ ❆ ❉ ■ ✽ ■ ❉ ❉ ❃ ✿ ❀ ❀ ❀ ❋ ❀ ✿ ❉ ❈ ❄ ✻ ✻ ❑ ◆ ✽ ✽ ❋ ❈ ❈ ▼ ✽ ❀ ❉ ✻ ❋ ✻ ❈ ✼ ✿ ✼ ❋ ❇ ❀ ❑ ❊ ✻ ❍ ▼ ✼ ❀ ✾ ❀ ❀ ❉ ✶ ✻ ❉ ❆ ❃ ❃ ❍ ✻ ❈ ❇ ✽ ❉ ❅ ❋ ✿ ❀ ✻ ■ ❈ ✻ ❀ ✽ ❅ ❋ ❇ ✽ ❃ ❊ ❃ ❉ ❃ ✽ ✻ ✿ ❋ ❀ ■ ▼ ❅ ❊ ❃ ✻ ❍ ❃ ✽ ❋ ❉ ✽ ❋ ❋ ❀ ✾ ❄ ❉ ❈ ✿ ■ ✽ ❈ ❋ ✽ ❀ ❊ ❈ ❀ ✿ ❃ ✽ ✿ ❈ ❃ ❈ ✻ ❅ ❅ ❋ ❑ ✻ P ◆ ❀ ❃ ▼ ✽ ❋ ❋ ✾ ✽ ❉ ✻ ❉ ❃ ❖ ❆ ✼ ✾ ✻ ❘ ✾ ❀ ❖ ✼ ➊ ✽ ❉ ❀ ❆ ✿ ✽ ❉ ❀ ❍ ❂ ❉ ❇ ✽ ❅ ❀ ❈ ✽ ✿ ✾ ❃ ✽ ✿ ❉ ❅ ✻ ❋ ❂ ❆ ❋ ❃ ✿ ❅ ❈ ❀ ❋ ❉ ❅ ❃ ❉ ❉ ✾ ❀ ✻ ❇ ✿ ❄ ❃ ❃ ❀ ✽ ❅ ❀ ❀ ✿ ◆ ◆ ✻ ✻ ❋ ✽ ❋ ✼ ✻ ❃ ✼ ❀ ❊ ✶ ✸ ❖ ❖ ❍ ❉ ✻ ✻ ✽ ✽ ❉ ✾ ✼ ✼ ❋ ❋ ✾ ❀ ❀ ❈ ✽ ■ ❉ ❈ ❀ ✻ ✽ ❋ ❍ ❊ ❍ ✿ ❀ ✿ ✽ ✿ ✽ ✻ ❉ ✽ ❇ ❅ ✽ ✽ ❈ ✾ ❋ ❍ ✻ ✽ ❀ ❉ ❉ ❀ ✽ ✻ ❋ ❈ ✾ ❖ ❉ ❋ ❉ ■ ✻ ✻ ❀ ▲ ✿ ❈ ❋ ✿ ✿ ❋ ❀ ✻ ❋ ✾ ✾ ❉ ❋ ❈ ❀ ❊ ✽ ❆ ❃ ❀ ❃ ✽ ❃ ❉ ❄ ❋ ❍ ✾ ❀ ✽ ❃ ✻ ✼ ✾ ❅ ✽ ■ ❉ ❅ ❀ ✾ ❋ ❂ ✾ ❂ ❂ ✻ ❂ ❊ ❅ ❅ ✽ ▲ ✿ ❂ ❅ ✽ ✾ ▼ ❉ ❂ ❉ ❋ ✾ ❅ ✿ ❈ ❇ ■ ✻ ❅ ❀ ❃ ✽ ❉ ❋ ✻ ✿ ✿ ✼ ❉ ❅ ✻ ❀ ❀ ❉ ✿ ✻ ❋ ❍ ❅ ❋ ✽ ❊ ✿ ❉ ✽ ❉ ❈ ✽ ✽ ❉ ❊ ■ ❆ ❅ ✾ ✽ ❇ ❆ ✻ ■ ❉ ❇ ✽ ❈ ❀ ❀ ❋ ❃ ✿ ✽ ❉ ❀ ✻ ❅ ✻ ❀ ❄ ❆ ✻ ❋ ❀ ✽ ❋ ❃ ■ ❃ ✿ ❉ ❃ ▼ ❋ ❈ ✽ ❉ ✾ ❋ ❉ ❅ ✿ ❊ ❉ ✽ ❀ ✻ ❋ ❈ ✾ ❇ ✽ ■ ❃ ❅ ❂ ❉ ◆ ❍ ❀ ✻ ❋ ✾ ✽ ❋ ❅ ❋ ✻ ❉ ❃ ❉ ✽ ❉ ✻ ✿ ❁ ✻ ❅ ❀ ❍ ✼ ❀ ❁ ✷ ❅ ❉ ❅ ✾ ❀ ❉ ❋ ✻ ✻ ✾ ❋ ❉ ❅ ❍ ✼ ◆ ❑ ✿ ❅ ❂ ✽ ❋ ■ ❉ ▼ ✽ ✾ ❉ ❀ ❅ ❋ ✼ ❊ ❃ ❃ ❉ ❋ ✾ ✽ ❉ ❂ ✽ ❃ ✼ ✾ ❆ ▼ ❀ ❍ ✽ ■ ❖ ❆ ❅ ❅ ❅ ❋ ❉ ❉ ❇ ✿ ❊ ✿ ❈ ✽ ✿ ❈ ❀ ✻ ❀ ❋ ✽ ✼ ✾ ❂ ❃ ❀ ❅ ✽ ❈ ❉ ❉ ❉ ❀ ❍ ✽ ❋ ❉ ❈ ✾ ❋ ❆ ✻ ❈ ❂ ❊ ■ ❅ ▼ ❋ ✽ ❊ ❃ ▲ ❃ ❃ ✽ ❋ ✿ ✻ ❀ ✼ ❄ ❅ ❍ ❄ ✻ ✽ ✽ ❈ ✾ ❋ ✽ ✽ ❀ ❋ ❀ ❈ ✿ ◆ ❉ ✼ ✽ ❊ ✻ ❀ ❈ ❋ ✽ ✿ ❋ ✿ ❀ ❊ ❅ ❁ ✾ ✻ ❂ ✻ ✻ ✽ ❆ ✽ ❋ ✽ ✼ ✼ ✾ ❉ ❉ ❀ ❀ ✻ ❖ ✹ ❖ ■ ■ ✿ ✾ ✻ ✽ ✾ ❅ ❅ ❋ ✻ ❋ ❉ ❃ ▼ ❃ ❉ ❀ ❋ ❍ ❇ ✻ ✻ ❉ ▼ ✻ ✿ ❀ ❃ ✾ ✻ ❖ ❉ ❁ ❅ ❇ ❇ ✿ ✻ ❉ ✿ ❃ ❃ ❋ ✻ ❋ ❀ ✽ ❀ ❋ ✾ ❉ ◆ ✷ ❃ ✻ ✻ ✾ ❃ ❉ ✼ ❅ ✻ ❀ ❖ P ✿ ❅ ❃ ❆ ✿ ✻ ✻ ❇ ✿ ❀ ✿ ❂ ✻ ❘ ✽ ❄ ✻ ✼ ✽ ✾ ❀ ❅ ❇ ❀ ✻ ❈ ❉ ❃ ❀ ❈ ❃ ❖ ❀ ❈ ❀ ❋ ✻ ✽ ❋ ● ✻ ◆ ✼ ❉ ❇ ❀ ✽ ✾ ❉ ✽ ✻ ❃ ❀ ✼ ❍ ❀ ❀ ❃ ❀ ❳ ❍ ✽ ■ ❅ ❀ ✻ ✽ ❉ ❀ ❉ ❉ ✽ ✻ ✿ ✾ ❈ ✻ ❂ ■ ✻ ✾ ❀ ❀ ❀ ❀ ❋ ❋ ✾ ❈ ✿ ❃ ✼ ❊ ✻ ✻ ❀ ❋ ❊ ✻ ✼ ❀ ❃ ❋ ✼ ❅ ✻ ❃ ❀ ✻ ❑ ✾ ❀ ❀ ❍ ❀ ✼ ❄ ❆ ❅ ❋ ❅ ❅ ✿ ❂ ✽ ❈ ❉ ❂ ❂ ✼ ❇ ✽ ❊ ❑ ✿ ❅ ■ ✽ ✿ ❀ ✻ ❋ ❅ ❅ ✽ ❍ ✿ ❋ ❃ ✻ ❋ ❍ ✻ ❉ ✽ ❋ ▼ ❉ ❇ ❖ ❉ ✻ ❉ ◆ ❅ ✽ ✽ ✿ ❉ ✿ ✽ ❂ ❅ ✾ ✻ ❂ ✻ ■ ❀ ❑ ❀ ✽ ❈ ❉ ❀ ✿ ❆ ✽ ❊ ✻ ■ ✽ ❅ ✾ ❋ ❃ ❉ ■ ❋ ❉ ❀ ❈ ❅ ❅ ✿ ✿ ❃ ✿ ✽ ✻ ❊ ❀ ❋ ✽ ✽ ❄ ✿ ❋ ❍ ❀ ❃ ✽ ❀ ❉ ❈ ✽ ✻ ❉ ✾ ▲ ✽ ■ ❉ ❃ ❀ ✽ ❅ ✻ ❀ ✿ ✻ ❅ ✽ ✻ ✾ ✽ ❉ ✿ ❋ ❆ ❄ ✼ ❃ ✽ ✽ ✻ ❉ ❅ ✿ ❅ ❆ ✾ ❋ ❂ ❉ ❋ ✾ ✻ ✻ ❇ ❋ ✼ ❅ ✻ ❅ ❋ ✿ ✻ ❉ ✻ ✻ ❋ ✻ ✽ ❅ ❉ ✼ ✾ ✻ ❊ ❀ ✼ ❋ ❅ ❆ ❀ ❃ ❀ ❍ ■ ❋ ❉ ❅ ❋ ✻ ❀ ✻ ✼ ❃ ✽ ❋ ❋ ❀ ❅ ❃ ❃ ❉ ❂ ➒ ➋ ➓ ➈ ➌ ➔ ➔ ➟ → ➉ ➠ ➌ ➥ ➆ ➣ ↕ ↔ ➄ ➝ ↕ ➣ ➌ ➔ ➛ ➆ ➙ ➟ ➛ ➍ ➨ ➩ ➜ ➫ ➎ ➣ ➔ → ➅ ↔ ➔ ➝ ↕ ➏ ➞ ➭ ➣ ➐ ➝ ➔ ➛ ➌ ➑ ➠ ➟ ↔ ➆ ➞ ➔ ➡ ➟ ➏ ➡ ➠ ➢ ➣ ➑ ➞ ➛ ➡ ➇ ➯ ➡ ➞ ➲ ➇ ➣ ➢ ➅ ➔ ➛ ➏ ➔ ➣ ➟ ↔ ➐ ➙ ➌ ➢ ➑ ➔ ➛ ➔ ➟ ➤ ➆ ➠ ➡ ➍ ➥ ➜ ↕ ➝ → ➣ ➞ ➛ ➔ ➯ ➡ ➣ ➣ ➛ ↔ ➝ ↕ ➛ ➛ ➙ ➯ ➛ ➜ ➜ ➔ ➟ ➔ → ➞ ➔ ➣ ➝ ↕ ➞ ➣ ➞ ➔ ➛ ➯ ➟ ↕ ➙ ↕ ➔ ➟ ➜ ➠ ➔ ➞ ➥ ➣ ↕ ➔ ➝ ➛ ➣ ➟ ➔ ➛ ➥ ➟ ➡ ➞ ➟ ➦ ➧ → ➔ ➟ ➞ ➛ ➔ ➡ ➟ ↕ ➜ ↕ ➛ ➙ → ➛ ➣ ➢ ➜ ➛ ➔ → ➔ ➝ ➢ ➞ ➞ ➣ ➳ ➔ ➛ ➠ ➟ ➵ · ➙ ➝ ➛ ➛ ➯ ➜ ➯ ➔ → ↕ ➔ ➝ ➝ ➞ ➣ ➣ ➔ ➛ → ➞ ➟ ➔ ➡ ➜ ➔ ➟ ➯ ➞ ➭ ➢ ➔ ➔ ➟ ➠ ➠ ➭ ➤ ➠ ↕ ➞ ➠ ➟ ➜ ➣ ➝ ➛ ➛ ➛ ➝ ➯ ➛ ➜ ➙ ➔ ➟ ➥ ➞ ➡ ➳ ➣ ↕ ➢ ➞ ➠ ➔ ➣ ➤ ↔ ➥ ➥ ➣ ➡ ↔ ↕ ↕ ➙ ↕ ➠ ➟ ➥ ➣ ↕ ➙ ➝ ➛ ➔ → ➜ ➔ ➝ ➔ → ➞ ➔ ➝ ➣ ➞ ➔ ➛ ➣ ➟ ➔ ➛ ➠ ➟ ➝ ➔ ➟ ➛ ➠ ➟ ➥ ➣ ↕ ➞ ➝ ➔ ➣ ➟ ↕ ➔ ➛ ➜ ➟ ➓ ➔ ➟ ➣ ↔ ↕ ➛ ➯ ➔ ➭ ➔ ➟ ➞ ➡ ➍ ❙ ❖ ➅ ❀ ➇ ✻ · ❊ ✼ ➚ ❊ ❀ ➯ ➛ ❀ ➌ ↕ ➯ ➏ ✿ ➻ ❊ ➫ ➞ ✻ ❋ ➅ ➢ ➟ ✽ ❄ ❂ ➞ ❂ ❀ ➔ ➣ ➉ ➡ ❋ ❉ ↔ ➳ ➅ ◆ ❀ ➼ ➚ ✾ ➠ ↕ ✽ ❉ ✾ ➣ ➣ ➅ ❆ ➯ ❋ ↔ ➤ ➉ ❊ ↕ ➝ ❃ ➏ ❈ ➙ ➣ ❀ ❀ ➤ ✿ ➛ ➑ ❂ ➯ ❋ ➜ ✽ ❄ ↕ ❍ ➪ ➔ → ❀ ❍ ➔ ➛ ❃ ➝ ➪ ❀ ➢ ➞ ✽ ❉ ❉ ➌ ➣ ➐ ➟ ❆ ❈ ➔ ➛ ↕ ❅ ➪ ❅ ➯ ➟ ✻ ❉ ➸ ➽ ➅ ➠ ✽ ➯ ❋ ❍ ↕ ➆ ❉ ➞ ✽ ➔ ✾ ➟ ❃ ➐ ➥ → ➥ ❀ ➛ ❅ ➯ ■ ❉ ➯ ❋ ➛ ❈ ➝ ❃ ➺ ↕ ➞ ✻ ➙ ➡ ✾ ➶ ➫ ❇ ↕ ➣ ❆ ➟ ↔ ➣ ❆ ↕ ❀ ➤ ✾ ➠ ➭ ✻ ➔ ➟ ➝ ✽ ❋ ➭ ❉ ➙ ➣ ✾ ➞ ↔ ➳ ↕ ❅ ➢ ➞ ❃ ➠ ❀ ➛ ➻ ➾ ➯ ❋ ➤ ➲ ❊ ➔ ➡ ❊ ➢ ➣ ❀ ➝ ➔ ➣ ❃ ➛ ↔ ❀ ➟ ❈ ➣ ➜ ↔ ✻ ➔ ➣ ↕ ❋ ➔ ➛ ↕ ➟ ❀ ➟ ➓ ❉ ➭ ✼ ➔ ➟ ❅ ↕ ❉ ↕ ✿ ➯ ❀ ➛ ✻ → ✼ ❀ ➯ ↕ ➝ ❀ ❊ ➛ ❊ ➯ ✽ ✿ ➜ ✽ ❀ ➣ ❉ ➛ ✿ ▼ ❅ ❉ ❈ ➘ ❙ ❖ ➴ ❑ ➷ · · · · · ✽ ❉ ❀ ✿ ➬ ✻ ❊ ✿ ◆ ✻ ✻ ✻ ◆ ◆ ❅ ❅ ❅ ✽ ❂ ✻ ◆ ❋ ✼ ✼ ✼ ❋ ✾ ❉ ❉ ➮ ❇ ✼ ✼ ✽ ➘ ✻ ❇ ❀ ❀ ❀ ▼ ▼ ❀ ❋ ❈ ❍ ✻ ❀ ❀ ✼ ❉ ❀ ❀ ❋ ❃ ❍ ❆ ➴ ❉ ❉ ❆ ❆ ❅ ❍ ❉ ❈ ❋ ❈ ❈ ✿ ▼ ❇ ✿ ✽ ➱ ◆ ■ ❅ ■ ✽ ❉ ❉ ✽ ✽ ▼ ✻ ❉ ❉ ✽ ❅ ❋ ✻ ❋ ❉ ✾ ✼ ❀ ❋ ✼ ❑ ✾ ❅ ❉ ✃ ◆ ✾ ✼ ✽ ✾ ❀ ❋ ✻ ❃ ❀ ❀ ✾ ■ ✻ ❈ ✾ ✾ ❅ ❉ ❐ ✼ ❉ ✽ ❀ ❀ ❃ ✽ ✻ ❂ ❆ ✽ ✽ ❈ ❍ ❀ ❑ ❑ ✻ ✿ ❑ ❀ ❀ ❂ ❒ ✻ ✽ ✿ ❂ ❀ ❉ ❂ ✼ ✻ ❀ ✽ ❍ ✼ ✻ ❀ ❄ ■ ❀ ❊ ❮ ✾ ❀ ✽ ❋ ❉ ❉ ❀ ❅ ❀ ▲ ✽ ❃ ▲ ■ ✽ ✽ ✿ ✾ ❃ ❀ ❃ ✾ ✾ ❒ ❉ ❉ ❋ ✽ ❍ ❀ ✽ ✻ ❊ ✻ ■ ✽ ❀ ✽ ❈ ✾ ✻ ❀ ✽ ✻ ✿ ✽ ❄ ✾ ❰ ❀ ✽ ✽ ■ ✿ ❉ ❖ ✽ ❀ ✽ ✾ ✿ ✻ ❋ ✽ ✽ ✾ ✻ ✿ ❋ ❈ ❋ ✿ ✽ ❅ ❅ ✽ ◆ ❉ ✼ ❋ ✻ ■ ❀ ❃ ❉ ■ ✽ ❃ ❂ ❀ ❋ ❀ ❃ ✽ ❉ ✻ ❉ ✽ ❃ ❂ ❅ ❀ ✾ ✾ ❃ ❀ ✾ ❆ ➶ ❂ ❍ ❀ ✻ ❊ ✽ ❊ ❍ ✻ ✿ ❊ ✿ ❋ ✻ ❇ ❑ ❋ ✽ ❀ ❀ ❀ ❋ ❋ ❋ ❀ ✽ ❂ ❉ ❃ ❃ ✽ ❉ ❖ ❃ ❂ ❋ ❃ ❃ ❃ ✽ ✽ ❅ ✾ ❍ ▼ ❉ ❃ ❃ ❃ ❃ ❀ ❀ ❂ ■ ✾ ❇ ❀ ❀ ✻ ❀ ❈ ❂ ❅ ❈ ❀ ✻ ❈ ❲ ❍ ❋ ❋ ✿ ✻ ❈ ✽ ✿ ❅ ❉ ✻ ✻ ◆ ❀ ▼ ❀ ✻ ❂ ✻ ❋ ❅ ❋ ❀ ❉ ❂ ❉ ❋ ❋ ✻ ❊ ❊ ❈ ✻ ✾ ✾ ✼ ❃ ❀ ❋ ✼ ❬ ✼ ❅ ✽ ❇ ❅ ❋ ❃ ❈ ✿ ❀ ❅ ✻ ❂ ❃ ❑ ❄ ❉ ❇ ❂ ❂ ✼ ❄ ✻ ❇ ❊ ❀ ❀ ❋ ❃ ✽ ✼ ❀ ❀ ❉ ❋ ✾ ❅ ✾ ✻ ✾ ❀ ✽ ❆ ❉ ❇ ✽ ✻ ❊ ❂ ❀ ✼ ❉ ✻ ❆ ❍ ❉ ✼ ❋ ❂ ❋ ❂ ❃ ❀ ❀ ❈ ▼ ❀ ❂ ■ ✿ ✾ ❇ ✽ ✻ ❆ ✻ ❂ ❅ ❀ ✾ ❋ ✿ ✻ ✼ ❆ ❋ ❋ ✿ ✻ ❃ ✼ ✻ ❉ ❀ ❈ ✿ ◆ ✽ ❅ ❇ ❑ ❋ ❃ ✾ ❅ ❅ ✻ ❀ ❃ ❋ ❉ ✻ ❅ ❉ ✽ ✽ ❉ ❉ ▼ ✽ ❃ ❀ ❉ ❋ ❇ ❈ ✿ ❆ ✾ ❅ ✽ ✻ ❇ ❈ ❆ ❉ ❋ ❉ ❍ ❉ ✽ ✿ ❅ ■ ❍ ✾ ✼ ❉ ❈ ❍ ❋ ❂ ✼ ✻ ✽ ❋ ❋ ❖ ❈ ✻ ✽ ❋ ❍ ✽ ✽ ❉ ❋ ❈ ❇ ❇ ❍ ✽ ✻ ✽ ✿ ❋ ✾ ❉ ❉ ✻ ✿ ✽ ❊ ✽ ❋ ■ ❀ ❖ ❈ ✾ ✻ ✻ ❊ ✽ ✿ ❆ ❀ ▲ ■ ❀ ✼ ✽ ❅ ❊ ✻ ❅ ✿ ■ ❃ ❀ ❈ ❀ ✿ ✼ ✽ ✻ ✿ ❃ ✻ ✿ ❅ ❖ ❀ ✽ ❀ ❋ ❅ ❀ ❂ ✽ ■ ✻ ❋ ❃ ❉ ✻ ❊ ❃ ✽ ❋ ✼ ✻ ❉ ❀ ✻ ❀ ✽ ✾ ❃ ❋ ✽ ✾ ❀ ❋ ❊ ❃ ✽ ▲ ❃ ❉ ✾ ❋ ❉ ❅ ❋ ❅ ❀ ■ ❃ ❲ ❑ ❅ ❉ ✻ ✽ ✾ ❉ ❃ ■ ❀ ❂ ❃ ❲ ✾ ✽ ❃ ✾ ▼ ❅ ✻ ▲ ✽ ❀ ❋ ■ ❀ ❋ ✽ ✻ ✻ ❃ ❍ ❅ ❀ ❙ ❨ ✼ ❀ ➹ ❈ ✻ ✿ ❀ ✽ ▲ ❀ ❉ ❇ ✻ ✻ ✾ ✿ ✻ ✻ ❃ ✽ ❋ ❍ ✽ ✼ ✻ ❆ ✽ ❋ ❋ ❍ ✽ ❀ ❇ ❖ ❉ ✿ ❉ ❇ ✻ ✿ ❍ ❆ ✽ P ❃ ❂ ✼ ✾ ❍ ❋ ▲ ✻ ❀ ❘ ✻ ❈ ❅ ❉ ❅ ❅ ✼ ✻ ✽ ▼ ❈ ❍ ❉ ❃ ✾ ❋ ❀ ■ ❀ ❇ ❀ ✽ ✿ ❋ ❋ ❍ ✿ ✿ ✽ ❉ ✼ ✻ ❋ ✾ ❇ ✻ ✽ ✾ ❋ ❋ ❅ ✾ ✻ ❍ ✽ ❉ ■ ❋ ❂ ❋ ❂ ❑ ❍ ❆ ❀ ▼ ✾ ◆ ❀ ✿ ❀ ✼ ❀ ✻ ❊ ❉ ✼ ✻ ❅ ✻ ❋ ❋ ✻ ✿ ✼ ❀ ❄ ❅ ❋ ❃ ❃ ❉ ❀ ❀ ❀ ❁ ❀ ❉ ❅ ❉ ❈ ✸ ❖ ■ · · · · ✼ ❋ ■ ■ ■ ❅ ❃ ✼ ❋ ✻ ❉ ❋ ❀ ❋ ✾ ▼ ·· ·· ·· ·· ·· ·· ·· ·· ❲ ✾ ✻ ✻ ✿ ❋ ❋ ✿ ❋ ❋ ✻ ❆ ❃ ■ ❊ ❊ ❊ ❑ ✾ ◆ ❋ ✼ ❊ ❉ ❋ ✼ ❋ ❇ ❅ ❃ ✽ ✽ ❉ ❉ ❉ ❀ ❀ ✾ ❀ ◆ ❋ ❇ ❃ ❂ ❅ ❅ ❅ ❃ ✾ ❂ ✻ ❂ ✻ ❉ ■ ❊ ✻ ❈ ❂ ❂ ❃ ✻ ❀ ❍ ■ ❅ ❋ ✼ ❈ ❃ ❇ ❄ ✽ ❉ ■ ✽ ✽ ✼ ❉ ❉ ✿ ❅ ✾ ❅ ✾ ❇ ❅ ✿ ❃ ✾ ❋ ✻ ✾ ❊ ❀ ✻ ✿ ✻ ✻ ❈ ❋ ✻ ❀ ❀ ✻ ✻ ✽ ✽ ❀ ❀ ✿ ✻ ❋ ❅ ❇ ✽ ❊ ■ ❋ ❋ ❃ ❅ ❂ ❈ ❋ ✽ ❂ ❉ ❃ ❅ ❋ ❂ ❉ ✾ ❅ ❈ ✽ ❅ ❂ ❅ ❃ ❂ ❍ ❉ ✽ ❂ ❍ ❉ ❅ ❂ ❈ ❆ ❀ ✿ ✻ ❅ ❂ ❋ ✾ ✻ ❆ ❋ ■ ❀ ❈ ❀ ❋ ✻ ✽ ❉ ✿ ❈ ✽ ✼ ❈ ❀ ❋ ❉ ✻ ❉ ✽ ✿ ❆ ❋ ❃ ❋ ✽ ❍ ❊ ❉ ❀ ✼ ✽ ❈ ❊ ❋ ❉ ✽ ✻ ❃ ✻ ❃ ❀ ❀ ✽ ✿ ✽ ✽ ❉ ✿ ✻ ❋ ❀ ❈ ❅ ✽ ✿ ❅ ❃ ❈ ❅ ✽ ■ ❆ ❋ ❂ ✻ ❅ ❃ ❀ ✻ ✽ ❅ ✻ ❃ ❉ ✾ ❂ ✽ ❀ ❋ ✽ ✽ ❉ ❋ ✽ ❅ ✽ ❃ ❋ ✽ ❂ ❈ ✻ ❉ ❊ ❉ ■ ❀ ❉ ❀ ❀ ✾ ❋ ✼ ✾ ❄ ✻ ✿ ❃ ✾ ✻ ❅ ❅ ❋ ✿ ❅ ❉ ✽ ❂ ❁ ❉ ❀ ✻ ✾ ❀ ❍ ❈ ✻ ❉ ❀ ✽ ❋ ✻ ❉ ❋ ✽ ❋ ✾ ✻ ❉ ✼ ❉ ❍ ❂ ❋ ▼ ❋ ◆ ❊ ❈ ❃ ✿ ✽ ❊ ❋ ❋ ✽ ✿ ❍ ❍ ❅ ■ ✻ ✻ ❂ ✼ ✽ ❋ ❀ ❀ ✻ ❉ ❆ ❀ ✿ ❃ ❈ ❋ ❋ ❀ ❉ ❇ ✻ ✾ ❉ ❅ ✻ ❈ ✽ ❂ ❃ ✾ ✾ ❇ ✼ ✿ ❋ ❅ ✻ ❊ ❂ ✽ ❋ ✻ ❂ ✼ ❉ ❑ ❀ ✷ ❀ ❀ ❍ ❃ ✿ ❀ ❋ ❋ ✿ ❈ ❉ ✻ ✽ ✾ ❊ ✽ ❋ ✽ ✽ ❈ ✿ ❉ ❀ ❅ ❅ ❃ ✻ ❉ ❀ ✽ ❋ ❈ ❈ ❉ ✾ ✽ ✽ ❉ ❉ ❖ ✾ ❅ ■ ❈ ❀ ❀ ✿ ● ✻ ❇ ✽ ❅ ❋ ✻ ❉ ❀ ❖ RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 5 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 4 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 3 8 A53 Gr.B 29000 11154 .3 .65 .49 35 1.6 60 1.2 9 A1085 29000 11154 .3 .65 .49 50 1.4 65 1.3 10 A913 Gr.65 29000 11154 .3 .65 .49 65 1.1 80 1.1 11 FRP 2800 450 .35 .44 .07 30 1 30 1 Hot Rolled Steel Section Sets Label Shape Type Design List Material Design R... A [in2] Iyy [in4] Izz [in4] J [in4] 1 PIpe Mount PIPE_2.0 Column None A53 Gr.B Typical 1.02 .627 .627 1.25 2 FRP Post HSS4X4X4 Column None FRP Typical 3.37 7.8 7.8 12.8 3 FRP Kicker HSS4X4X4 VBrace None FRP Typical 3.37 7.8 7.8 12.8 4 FRP Horizontal L6X4X8 Beam None FRP Typical 4.75 6.22 17.3 .407 5 FRP Standoff L4X4X6 Beam None FRP Typical 2.86 4.32 4.32 .141 6 New Horizontal L4X4X6 Beam None A36 Gr.36 Typical 2.86 4.32 4.32 .141 Member Primary Data Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 1 M1 N1 N2 FRP Post Column None FRP Typical 2 M2 N3 N4 FRP Post Column None FRP Typical 3 M3 N5 N6 FRP Post Column None FRP Typical 4 M4 N7 N8 FRP Post Column None FRP Typical RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 2 ACI 530-11: ASD AA ADM1-10: LRFD - Building None Number of Shear Regions Region Spacing Increment (in) Biaxial Column Method Parme Beta Factor (PCA) Concrete Stress Block Use Cracked Sections? Use Cracked Sections Slab? Bad Framing Warnings? Unused Force Warnings? Min 1 Bar Diam. Spacing? Concrete Rebar Set Min % Steel for Column Max % Steel for Column 4 4 Exact Integration .65 Rectangular Yes Yes No Yes No REBAR_SET_ASTMA615 1 8 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 GAMMA.Loaded.r3d] Page 1 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 NC NC NC NC NC NC NC .07 NC NC NC .07 NC NC NC NC NC NC NC NC NC NC NC NC .04 NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC NC .09 NC NC NC NC NC NC .04 NC NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC .09 NC NC NC NC NC NC NC .04 NC NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC .09 NC NC NC NC NC NC NC NC .07 NC NC NC NC NC NC .09 NC NC NC NC NC NC .09 NC NC NC NC Y Z X Shear Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Shear Checks Displayed (Enveloped) Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 NC NC NC NC NC NC NC .40 NC NC NC .40 NC NC NC NC NC NC NC NC NC NC NC NC .12 NC NC NC NC NC .40 NC .28 NC NC .40 NC NC NC NC NC .28 NC NC NC NC NC NC .14 NC NC NC NC NC NC .40 NC .28 NC NC .40 NC NC NC NC .28 NC NC NC NC NC NC NC .13 NC NC NC NC NC NC .40 NC .28 NC NC .40 NC NC NC NC .28 NC NC NC NC NC NC NC NC .20 NC NC NC NC NC NC .28 NC NC NC NC NC NC .28 NC NC NC NC Y Z X Code Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Code Checks Displayed (Enveloped) Envelope Only Solution N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 -14.337lb/ft -14.337lb/ft -14.337lb/ft -14.337lb/ft -14.337lb/ft -9.45lb/ft -9.45lb/ft -9.45lb/ft -9.45lb/ft -9.45lb/ft -6.314lb/ft -6.314lb/ft -5.623lb/ft -5.623lb/ft -5.623lb/ft -5.623lb/ft -182.055lb -182.055lb -227.572lb -227.572lb -188.835lb -188.835lb -294.389lb -294.389lb Y Z X Loads: BLC 8, No Ice Wind 180 deg Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 PIPE_2.0 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 PIPE_2.0 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 PIPE_2.0 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 PIPE_2.0 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 Y Z X Section Sets PIpe Mount FRP Post FRP Kicker FRP Horizontal FRP Standoff New Horizontal RIGID Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 Y Z X Envelope Only Solution IN0341 Hamilton Crossing - Gamma 2022723.16.83210.02 Rooftop/Penthouse Mounted: Structure Information Code Specifications Topographic Inputs Risk Category: Section Sets Mount Centerline, z = Mount Gust Effect Factor, Gh = Number of Mount Components AppurtenancesShieldingIce No Ice Output Appurtenance Model 5.62 Structure Type: Structure Height, h = Mount Components Unshielded Normal Wind Force (lb/ft)* New Horizontal Number of Appurtenances 14.34 14.43 0.00 9.65 15.78 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 4 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 3 8 A53 Gr.B 29000 11154 .3 .65 .49 35 1.6 60 1.2 9 A1085 29000 11154 .3 .65 .49 50 1.4 65 1.3 10 A913 Gr.65 29000 11154 .3 .65 .49 65 1.1 80 1.1 11 FRP 2800 450 .35 .44 .07 30 1 30 1 Hot Rolled Steel Section Sets Label Shape Type Design List Material Design R... A [in2] Iyy [in4] Izz [in4] J [in4] 1 PIpe Mount PIPE_2.0 Column None A53 Gr.B Typical 1.02 .627 .627 1.25 2 FRP Post HSS4X4X4 Column None FRP Typical 3.37 7.8 7.8 12.8 3 FRP Kicker HSS4X4X4 VBrace None FRP Typical 3.37 7.8 7.8 12.8 4 FRP Horizontal L6X4X8 Beam None FRP Typical 4.75 6.22 17.3 .407 5 FRP Standoff L4X4X6 Beam None FRP Typical 2.86 4.32 4.32 .141 6 New Horizontal L4X4X6 Beam None A36 Gr.36 Typical 2.86 4.32 4.32 .141 Member Primary Data Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 1 M2 N3 N4 FRP Post Column None FRP Typical 2 M3 N5 N6 FRP Post Column None FRP Typical 3 M4 N7 N8 FRP Post Column None FRP Typical 4 M5 N9 N10 FRP Post Column None FRP Typical RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 2 ACI 530-11: ASD AA ADM1-10: LRFD - Building None Number of Shear Regions Region Spacing Increment (in) Biaxial Column Method Parme Beta Factor (PCA) Concrete Stress Block Use Cracked Sections? Use Cracked Sections Slab? Bad Framing Warnings? Unused Force Warnings? Min 1 Bar Diam. Spacing? Concrete Rebar Set Min % Steel for Column Max % Steel for Column 4 4 Exact Integration .65 Rectangular Yes Yes No Yes No REBAR_SET_ASTMA615 1 8 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 BETA.Loaded.r3d] Page 1 N71 N72 N73 N74 N75 N76 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 N73A N74A NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC .19 NC NC NC NC NC NC NC NC NC NC .09 NC NC NC NC .19 NC NC NC NC .19 NC NC .19 NC NC .13 .10 NC NC NC NC NC NC NC NC NC NC NC NC NC .10 .19 NC .13 NC NC .13 NC NC NC NC NC NC .13 NC NC .11 NC NC .13 NC Y Z X Shear Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Shear Checks Displayed (Enveloped) Envelope Only Solution N71 N72 N73 N74 N75 N76 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 N73A N74A NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC NC .89 NC NC NC NC NC NC NC NC NC NC .34 NC NC NC NC .89 NC NC NC NC .89 NC NC .89 NC NC .65 .14 NC NC NC NC NC NC NC NC NC NC NC NC NC .15 .89 NC .65 NC NC .65 NC NC NC NC NC NC .65 NC NC .64 NC NC .65 NC Y Z X Code Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Code Checks Displayed (Enveloped) Envelope Only Solution N72 N73 N74 N75 N76 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 N73A N74A -14.337lb/ft -14.337lb/ft -14.337lb/ft -14.337lb/ft -6.314lb/ft -6.314lb/ft -5.623lb/ft -5.623lb/ft -5.623lb/ft -5.623lb/ft -182.055lb -182.055lb -227.572lb -227.572lb -294.389lb -294.389lb -188.835lb -188.835lb -40.54psf Y Z X Loads: BLC 8, No Ice Wind 180 deg Envelope Only Solution N71 N72 N73 N74 N75 N76 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 N73A N74A HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 PIPE_2.0 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 HSS4X4X4 L4X4X6 L6X4X8 L6X4X8 L4X4X6 L4X4X6 HSS4X4X4 L4X4X6 PIPE_2.0 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 PIPE_2.0 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 PIPE_2.0 HSS4X4X4 L6X4X8 L4X4X6 Y Z X Section Sets PIpe Mount FRP Post FRP Horizontal FRP Standoff New Horizontal RIGID Envelope Only Solution N71 N72 N73 N74 N75 N76 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 N73A N74A Y Z X Envelope Only Solution IN0341 Hamilton Crossing - Beta 2022723.16.83210.02 Rooftop/Penthouse Mounted: Structure Information Code Specifications Topographic Inputs Risk Category: Section Sets Mount Centerline, z = Mount Gust Effect Factor, Gh = Number of Mount Components AppurtenancesShieldingIce No Ice Output Appurtenance Model 5.62 Structure Type: Structure Height, h = Mount Components Unshielded Normal Wind Force (lb/ft)* New Horizontal Number of Appurtenances 14.34 14.43 0.00 9.65 15.78 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 5 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 4 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 3 8 A53 Gr.B 29000 11154 .3 .65 .49 35 1.6 60 1.2 9 A1085 29000 11154 .3 .65 .49 50 1.4 65 1.3 10 A913 Gr.65 29000 11154 .3 .65 .49 65 1.1 80 1.1 11 FRP 2800 450 .35 .44 .07 30 1 30 1 Hot Rolled Steel Section Sets Label Shape Type Design List Material Design R... A [in2] Iyy [in4] Izz [in4] J [in4] 1 PIpe Mount PIPE_2.0 Column None A53 Gr.B Typical 1.02 .627 .627 1.25 2 FRP Post HSS4X4X4 Column None FRP Typical 3.37 7.8 7.8 12.8 3 FRP Kicker HSS4X4X4 VBrace None FRP Typical 3.37 7.8 7.8 12.8 4 FRP Horizontal L6X4X8 Beam None FRP Typical 4.75 6.22 17.3 .407 5 FRP Standoff L4X4X6 Beam None FRP Typical 2.86 4.32 4.32 .141 6 New Horizontal L4X4X6 Beam None A36 Gr.36 Typical 2.86 4.32 4.32 .141 Member Primary Data Label I Joint J Joint K Joint Rotate(de... Section/Shape Type Design List Material Design Rules 1 M1 N1 N2 FRP Post Column None FRP Typical 2 M2 N3 N4 FRP Post Column None FRP Typical 3 M3 N5 N6 FRP Post Column None FRP Typical 4 M4 N7 N8 FRP Post Column None FRP Typical RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 2 ACI 530-11: ASD AA ADM1-10: LRFD - Building None Number of Shear Regions Region Spacing Increment (in) Biaxial Column Method Parme Beta Factor (PCA) Concrete Stress Block Use Cracked Sections? Use Cracked Sections Slab? Bad Framing Warnings? Unused Force Warnings? Min 1 Bar Diam. Spacing? Concrete Rebar Set Min % Steel for Column Max % Steel for Column 4 4 Exact Integration .65 Rectangular Yes Yes No Yes No REBAR_SET_ASTMA615 1 8 RISA-3D Version 17.0.4 [T:\...\...\...\...\...\00_Rev 0\04_Modeling\83210 ALPHA.Loaded.r3d] Page 1 N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 NC NC NC NC NC NC NC .07 NC NC NC .07 NC NC NC NC NC NC NC NC NC NC NC NC .05 NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC NC .09 NC NC NC NC NC NC .04 NC NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC .09 NC NC NC NC NC NC NC .05 NC NC NC NC NC NC .07 NC .09 NC NC .07 NC NC NC NC .09 NC NC NC NC NC NC NC NC .07 NC NC NC NC NC NC .09 NC NC NC NC NC NC .09 NC NC NC NC Y Z X Shear Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Shear Checks Displayed (Enveloped) Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 NC NC NC NC NC NC NC .40 NC NC NC .40 NC NC NC NC NC NC NC NC NC NC NC NC .14 NC NC NC NC NC .40 NC .27 NC NC .40 NC NC NC NC NC .27 NC NC NC NC NC NC .12 NC NC NC NC NC NC .40 NC .27 NC NC .40 NC NC NC NC .27 NC NC NC NC NC NC NC .14 NC NC NC NC NC NC .40 NC .27 NC NC .40 NC NC NC NC .27 NC NC NC NC NC NC NC NC .20 NC NC NC NC NC NC .27 NC NC NC NC NC NC .27 NC NC NC NC Y Z X Code Check ( Env ) No Calc > 1.0 .90-1.0 .75-.90 .50-.75 0.-.50 Member Code Checks Displayed (Enveloped) Envelope Only Solution N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 -14.507lb/ft -14.507lb/ft -14.507lb/ft -14.507lb/ft -14.507lb/ft -9.562lb/ft -9.562lb/ft -9.562lb/ft -9.562lb/ft -9.562lb/ft -6.388lb/ft -6.388lb/ft -5.69lb/ft -5.69lb/ft -5.69lb/ft -5.69lb/ft -188.835lb -188.835lb -182.055lb -182.055lb -227.572lb -227.572lb -294.389lb -389lb40.54psf -294. Y Z X Loads: BLC 8, No Ice Wind 180 deg Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 PIPE_2.0 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 PIPE_2.0 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 PIPE_2.0 HSS4X4X4 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 L6X4X8 HSS4X4X4 L4X4X6 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 PIPE_2.0 HSS4X4X4 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 L6X4X8 L4X4X6 HSS4X4X4 HSS4X4X4 L4X4X6 L4X4X6 HSS4X4X4 Y Z X Section Sets PIpe Mount FRP Post FRP Kicker FRP Horizontal FRP Standoff New Horizontal RIGID Envelope Only Solution N53 N54 N55 N56 N57 N58 N59 N60 N61 N62 N63 N64 N65 N66 N67 N68 N69 N70 N71 N72 N73 N74 N75 N76 N77 N78 N79 N80 N81 N82 N83 N84 N85 N86 N87 N88 N89 N90 N91 N92 Y Z X Envelope Only Solution IN0341 Hamilton Crossing - Alpha 2022723.16.83210.02 Rooftop/Penthouse Mounted: Structure Information Code Specifications Topographic Inputs Risk Category: Section Sets Mount Centerline, z = Mount Gust Effect Factor, Gh = Number of Mount Components AppurtenancesShieldingIce No Ice Output Appurtenance Model 5.62 Structure Type: Structure Height, h = Mount Components Unshielded Normal Wind Force (lb/ft)* New Horizontal Number of Appurtenances 14.34 14.43 0.00 9.65 15.78 1 C Antenna 43.7% N/A N/A Building 80' 2014 Indiana Building Code, & TIA-222-G N/A Hamilton, IN Hamilton Crossing The information contained in this summary report is not to be used independently from the PE stamped structural analysis. DHA Site #: IN0341, Rev. A GPD Project #: 2022723.16.83210.02. 83210 (IN0341) GPD 10050188 Design Code Used 3/24/2022 Description N/A II 1.00 Existing/Reserved + Future + Proposed Condition Mounts (%) 88.8%