HomeMy WebLinkAboutDAQ-2024-0043021
DAQC-1307-23
Site ID 10123 (B4)
MEMORANDUM
TO: STACK TEST FILE – HF SINCLAIR WOODS CROSS REFINING, LLC
THROUGH: Harold Burge, Major Source Compliance Section Manager
FROM: Robert Sirrine, Environmental Scientist
DATE: November 28, 2023
SUBJECT: Source: Heater 20H3
Location: 1070 West 500 South, West Bountiful, Davis County, Utah
Contact: F. Travis Smith: (801) 299-6625
Tester: Alliance Source Testing
FRS ID #: UT00000049011000013
AO #: DAQE-AN101230057-23, dated November 15, 2023
Action Code: 3A
Subject: Review of Stack Test Report dated October 20, 2023
On October 20, 2023, Utah Division of Air Quality (DAQ) received a stack test report for testing of the
20H3 Heater located at the HF Sinclair refinery in West Bountiful, Davis County, Utah. Testing was
performed on August 25, 28-30, 2023, to determine compliance with the PM10 test methods and emission
limit found in Conditions II.B.1.a, and II.B.6.a. The DAQ calculated results are:
Source Test Date RM/Pollutant DAQ Result Test Result Limit
20H3 8/25, 28-30/23 CTM-039/PM10 0.0005* 0.0005* 0.0070*
*lbs/MMBtu
DEVIATIONS: No deviations were noted.
CONCLUSION: The test report appears to be acceptable.
RECOMMENDATION: The PM10 emissions appear to have been in compliance with the
applicable limit at the time of testing.
HPV: No
ATTACHMENTS: Heater 20H3 stack test report received October 20, 2023
DAQ generated excel spreadsheets
. l-
,.tttFfinctorr
October 20,2023
Mr. Bryce Bird, Director
Division of Air Quality
Utah Dept. of Environmental Quality
195 North 1950 West
Salt Lake City, Utah 841l6
RE: Annual PMro Emissions Test Report - 20H3 Reactor Charge Heater
HF Sinclair Woods Cross Refining LLC, Davis County
Dear Mr. Bird:
TJTAH DEPARTMENT OF
EIWIRONMENTAL OUAUTY
., -i ? -; '\i:')'.)
\b^d Ctetivered
DIVISION OF AIR QUALIW
Hand Delivered
In accordance with Conditions [.B.1.a and tr.B.6.a of Approval Order ANl01230055-23, please find enclosed
the results of our recent PMro emissions testing for process heater 20H3. The testing was conducted August
25 and 28-30, 2023. The test results were 0.0005 lbs/IvlMBtu for PMl0.
Enclosed, please find a copy of the testing report for process heater 20H3.
If you have any questions or need additional information, please contact F. Travis Smith at (801) 299-6625 or
email ftravis.smith@hfsinclair.com.
I certifu that:
Testing was conducted while the source was operating at the rate and/or conditions specified in the
applicable approval order, operating permit, or federal regulation;
During testing, the source combusted fuels, used raw materials, and maintained process conditions
representative ofnormal operations, and operated under such other relevant conditions specified by the
Director;
Based on information and belief formed after reasonable inquiry, the statements and information
contained in the report are true, accurate, and complete.
Sincerely,_. (L
Ye<\* ),,--^-r-)
Dustin Simmonds
Vice President and Refinery Manager
HF Sinclair Woods Cross Refining LLC
1070 W. 500 S, West Bountiful, UT 84087
801-299-6600 | HFSinclair.com
Enclosure
c: E. Benson (r)Fi[e2.4.4
K. Arnold
J. Barton
J. Orr
i1,.;,' . ^b1CO...t de C',^Vqn:C-;;i: ,.. Dry!'SlOlJ 0r 41P QUALITYAliare
Source Test Report
HF Sinclair Woods Cross Refining, LLC
1070 West 500 South
West Bountiful, UT 84087
Source Tested: Process Heater 20H3
Test Dates: August 25 & 28-30,2023
Project No. AST-2023- 1 660-0 I 0
Prepared By
Alliance Technical Group, LLC
3683 W 2270 S, Suite E
West Valley City, UT 84120
pJlt6rrce
TECHNICAL GROUP Source Test Rqofi
Test Progmm Summary
ResulatorY Information
Permit No.
Source Information
DAQE-ANl0l23005s-23
Source Name
Refinery Gas Fired Process Heater
Contact Information
Source ID
20H3
Target Parameters
PMIO, PM2.5
Test Location
HF Sinclair Woods Cross Refining,
LLC
1070 West 500 South
West Bountitul, UT 84087
Eric Benson
eric.benson@hfsinclair. com
(801) 299-6623
F. Travis Smith
ftrav is. smith@hfsi nclair.com
(801) 299-662s
Test Company
Alliance Technical Group, LLC
3683 W 2270 S, Suite E
West Valley City, UT 84120
hoject Manager
Charles Horton
charles.horton@lliancetg. com
(352) 63-7568
Field Team Leader
Tobias Hubbard
tobias.hubbard@al liancetg.com
(605) 645-8562
QA/QC Manager
Kathleen Shonk
katie. shonk@alliancetg.com
(812) 452-478s
Report Coordinator
Sarah Perry
sarah.perry@all iancetg.com
Analyical Laboratory
Eurofins TestAmerica
5815 Middlebrook Pike
Knoxville, TN 37921
Kevin Woodcock
kev in.woodcock@testamericainc.com
(865) 291-3000
HF Sinclair - West Bountiful, UTAST-2023- 1660-010
2 of20l
Page i
pul6rrpE)
I'ECi.]NICAL GI]OUP Source Test Report
Cer t i li cat ion S al e me nt
Alliance Technical Group, LLC (Alliance) has completed the source testing as described in this report. Results
apply only to the source(s) tested and operating condition(s) for the specific test date(s) and time(s) identified within
this report. All results are intended to be considered in their entirety, and Alliance is not responsible for use of less
than the complete test report without written consent. This report shall not be reproduced in full or in part without
written approval from the customer.
To the best of my knowledge and abilities, all information, facts and test data are correct. Data presented in this
report has been checked for completeness and is accurate, error-free and legible. Onsite testing was conducted in
accordance with approved internal Standard Operating Procedures. Any deviations or problems are detailed in the
relevant sections in the test report.
This report is only considered valid once an authorized representative of Alliance has signed in the space provided
below; any other version is considered draft. This document was prepared in portable document format (.pdf) and
contains pages as identified in the bottom footer ofthis document.
'--,,, '- '4:I
t0/t2/2023
Charles Horton, QSTI
Alliance Technical Group, LLC
Date
HF Sinclair - West Bountiful, UTAST-2023-1660-010
3 of20l
Page ii
puldrpe
rEC'r-l NICAi GROUP Source Tesl Repoi
Table ofContents
TABLE OF CONTENTS
l.l Emission Unit and Control Unit Descriptions................. .........................'. l-l
1.3 Site-Specific Test Plan & Notification ........' l-l
3.1 U.S. EPA Reference Test Methods I and 2 - Sampling/Traverse Points and Volumetric Flow Rate ..... 3-l
3.2 U.S. EPA Reference Test Method 3,A - Oxygen/Carbon Dioxide.......... ...'...................... 3-l
3.3 U.S. EPA Reference Test Method 4 - Moisture Content.......... ..'.............. 3-l
3.4 U.S. EPA Conditional Test Method 039 - PMI0/PM2.5.............. .............3-2
3.5 U.S. EPA Reference Test Method l9 - Mass Emission Factors........... ...."............'......... 3-3
3.6 Quality Assurance/Quality Control - U.S. EPA Reference Test Method 3A.....................................'.'.. 3-3
LIST OF TABLES
Table 2-l: Summary of Results- PMI0/PM2.5. ..........2-l
APPENDICES
Appendix A Sample Calculations
Appendix B Field Data
Appendix C Laboratory Data
Appendix D Quality Assurance/Quality Control Data
Appendix E Process Operating/Control System Data
HF Sinclair - West Bountiful, UTAST-2023- 1660-01 0
4 of?Ol
Page iii
5 of20l
pilr6rpe
TECHNICAI GROUP Source Tesl Report
Irnroduction
1.0 Introduction
Alliance Technical Group, LLC (Alliance) was retained by HF Sinclair Woods Cross Refining, LLC (HF Sinclair)
to conduct compliance testing at the Woods Cross Refinery in West Bountiful" Utah. Portions of the facility are
subject to provisions of the Utah Department of Environmental Quality, Division of Air Quality (UDAQ) Permit
No. DAQE-AN101230055-23. Testing was conducted to determine the emission rates of particulate matter less than
or equal to l0 microns (PMl0) and particulate matter less than 2.5 microns (PM2.5) from the exhaust of Process
Heater 20H3.
Emission Unit and Control Unit Descriptions
1.2 Project Team
Personnel involved in this project are identified in the following table.
Table 1-1: Project Team
1.3 Site-Specific Test Plan & Notification
Testing was conducted in accordance with the Site-Specific Test Plan (SSTP) submitted to UDAQ by HF Sinclair.
HF Sinclair - West Bountiful, UT
Gas Oil Hydrocracker Charge Heater, 39.7 MMBtu/hr
HHV, fired on plant gas, natural draft, 6 burners (Next
Generation, Ultra Low NOx), and up-fired fumace. Stack
Ultra-low NOx burners
HF Sinclair Personnel Matthew Howes
F. Travis Smith
Alliance Personnel Tobias Hubbard
Supilani Mailei
AST-2023- I 660-0 I 0
6 of20l
Page l-l
7 of20l
Att6rpe Source Test Reporl
Summry ol Results
2.0 Summary of Results
Alliance conducted compliance testing at the HF Sinclair facility in West Bountiful, Utah on August 25 and28-30,
2023. Testing consisted of determining the emission rates of PM2.5 and PMl0 at the exhaust of Process Heater
20H3.
Table 2-l provides a summary of the emission testing results. Any difference between the summary results listed in
the following table and the detailed results contained in appendices is due to rounding for presentation.
Table 2-1: Summary of Results - PMl0/PM2.5
R Rrrn 2 Run l
'Bn
)ate
,top
Time
Time
Time min
8/25123
8:26
l2:56
240.0 243.7
8t28-8/29/23 8t29-8/30t23
23 03 23:30
3 12 3:38
239.9 251 2(0)
INPUT DATA
20,190
18 t3
8,255
25.80
1.t42
0.370
0.00075
2.t6
0.000
2.t6
20,783
18.51
8,265
25.75
I t42
0.170
0.00075
r.4'7
0.000
r47
ruel Gc Flow Rate, scftr
{eat Input, MMBtU/hr
ruel Factor (O2 dry), dscf,MMBtu
ldometric Pressure, in Hg
r'Ieter Correction Factot
,lozle Diameter, in
\rea of Nozle, ft2
lotal Mcs of PMl0 gm, mg (m2 + mr + mj + mj)
iotal Mos of PM <10 pm and >2.5 ym, mg (m2)
lotal M6s of PM <2.5 um. mc (m, + m, + m.)
(FR)
(HI)
(Fd)
(Pb)
(Y)
(Dn)
(An)
(mpuro)
(menro-:.s)
(m^." J
20,940
t't .27
8,259
25'17
!.142
0.370
0.00075
L54
0.000
154
2t,220
20.13
8,281
25.68
I 142
0.370
0.00075
0.720
0.000
0.720
CTM-039 LOGGER DATA
6.91
0 328
78.6
2.23
288.4
1,840.5
l16
t0.47
2.54
2t.87
0.160
lo4 R
6.86
0.324
78.6
2.22
285.6
1,846.6
Ll6
10.28
2.60
21.42
0.157
103 5
)ilution Flow Rate, dscfm
iample Flow Rate, dscfm
/olume Sampled, dscf
/olume Sampled, dscm
/iscosity
(eynolds Number
lunningham Corection Factor
'articulate Cut Diameter for PMl0
)aniculate Cut Diameter for PM2.5
)ilution Ratio
',loisture Fraction Mecured
<nkinetic Samnlino Rate loZ)
(Qaar)
(Q<"a)
1v1"0)
1vu"a)
(r)
(N,")
(c)
(Dso)
(Dru)
(DR)
(BWSmd)
1l\
7.01
0.333
79.9
226
284.2
1,890.t
t.l6
10.09
253
21.94
0 160
r05 I
6.66
0.322
77.1
2.18
244.4
1,809 I
l. 15
10.29
2.68
2t.65
0.1 50
t00 5
EMISSION'AI,'III,ATIONS
)M l0 Concenration, grair/dscf
)M I 0 Concentration, mg/dscm
'Ml0 Emission Rate, lb,hr
'M l0 Emrssron Factor, lb/MMBtu (02)
)Ml O Fmission Rrte lh,MMqcf frrel aar
(Cruro)
(Cpvro)
(PMR)
(EFpvroo:a)
(8R".,,")
0.00042
0.969
2.8E-O2
7.8E-04
I 4F+0O
0.00030
0.680
2 0E-02
4.9E-O4
9 5E-01
0.00014
0.330
9.8E-03
2 4E-04
4 6E-01
0.00029
0.660
t.9E-02
5.0E-04
9 3E-0r
PM <10 pm od >2.5 pm Concentration, grair/dscf
PM <10 gm md >2.5 pm Concmtration, mg/dscm
PM <10 pm and >2.5 pm Emission Rate, lb/hr
PM <10 gm ed >2.5 pm Emission Factor, lbiMMBtu (O2)
PM <10 um md >2.5 trm Emission Rate. lbMMscf fuel cc
(Cpur*r.r) o.oooo
(cpurrzr) 0.000
(PMR) 0.0E+00
(EFpuro-r.sora) o.oE+oo
(ER"",".,,) o.oE+oo
0.0000
0.000
0.0E+00
0.0E+00
0.08+00
0.0000
0.000
0.0E+00
0.0E+00
0.0E+00
0.0000
0.000
0.0E+00
0.0E+00
0 0E+00
)M <2.5 Concentration, grain/dscf
)M <2.5 Concentration, mgldscm
'M <2.5 Emission Rate, lb/hr
)M <2.5 Emission Factor, lb/MMBtu (O2)
'M <2 5 um Emission Rate lb.MMscf fuel
(C"nr:.r)
(Cpu:.r)
(PMR)
(EFrrr: s oa)
(ER".,,.)
o.ooo42
0.969
2.8E-02
7.8E-04
I 4E+00
0.00030
0.680
2.0E-02
4.9E-04
9 5E-0 I
0.00014
0.330
9.8E-03
2.4E-04
4 5E-01
0.00029
0.660
t.9E-02
5.0E-04
9.3E-01
HF Sinclair - West Bountiful, UTAST-2023-1660-010
8 of20l
Page2-l
9 of20l
pj/ldrrc.e
TI'CiINICAI GROUP Source Tesl Repofl
Testing Methodolog/
3.0 Testing Methodology
The emission testing program was conducted in accordance with the test methods listed in Table 3-1. Method
descriptions are provided below while quality assurance/quality control data is provided in Appendix D.
Table 3-l: Source Testing Methodology
3.1 U.S. EPA Reference Test Methods I and 2 - Sampling/Traverse Points and Volumetric Flow Rate
The sampling location and number of traverse (sampling) points were selected in accordance with U.S. EPA
Reference Test Method l. To determine the minimum number of traverse points, the upstream and downstream
distances were equated into equivalent diameters and compared to Figure l-l in U.S. EPA Reference Test Method l.
Full velocity traverses were conducted in accordance with U.S. EPA Reference Test Method 2 to determine the
average stack gas velocity pressure, static pressure and temperature. The velocity and static pressure measurement
system consisted of a pitot tube and inclined manometer. The stack gas temperature was measured with a K-type
thermocouple and pyrometer.
Stack gas velocity pressure and temperature readings were recorded during each test run. The data collected was
utilized to calculate the volumetric flow rate in accordance with U.S. EPA Reference Test Method 2.
3.2 U.S. EPA Reference Test Method 3A - Oxygen/Carbon Dioxide
The oxygen (Oz) and carbon dioxide (COz) testing was conducted in accordance with U.S. EPA Reference Test
Method 3,{. Data was collected online and reported in one-minute averages. The sampling system consisted of a
stainless-steel probe, Teflon sample line(s), gas conditioning system and the identified gas analyzer. The gas
conditioning system was a non-contact condenser used to remove moisture from the stack gas. If an unheated
Teflon sample line was used, then a portable non-contact condenser was placed in the system directly after the
probe. Otherwise, a heated Teflon sample line was used. The quality control measures are described in Section 3.6.
3.3 U.S. EPA Reference Test Method 4 - Moisture Content
The stack gas moisture content (BWS) was determined in accordance with U.S. EPA Reference Test Method 4. The
gas conditioning train consisted of a series of chilled impingers. Prior to testing, each impinger was filled with a
known quantity of water or silica gel. Each impinger was analyzed gravimetrically before and after each test run on
the same balance to determine the amount of moisture condensed.
HF Sinclair- West Bountiful. UT
Full Velocity TraversesVolumetric Flow Rate
Oxygen / Carbon Dioxide
Particulate Matter less than l0 Microns /Constant Rate Sampling
AST-2023- I 660-0 I 0
l0 of20l
Page 3-l
AI
ll',ll Source Test Repon
Testing Methodolow
3.4 U.S. EPA Conditional Test Method 039 - PMI0/PM2.5
The PMl0 and PM2.5 testing was conducted accordance with U.S. EPA Conditional Test Method 039 (CTM-039).
CTM-039 does not include drawing sample gas through impingers, but instead mixes the sample with dilution air in
a mixing chamber to replicate the dilution and cooling of the stack effluent in the atmosphere. The filterable and
condensable particulate matter is collected together (Section l.l ). The major components of the CTM-039 sampling
train are: in-stack PMl0 and PM2.5 cyclones; a heated sample probe; a pre-dilution tee and mixing cone; a mixing
(residence) chamber, two blowers and other ancillary equipment (Section 8.4).
Per Section 8.6 of CTM-039 the probe, sample venturi, and heated compartment temperatures are to be maintained
at least l0 degrees F above the stack gas temperatures; this is not feasible due to the high temperature ofthe stack.
The equipment was ran at as high of a temperature as manageable and all heated and unheated components were
recovered into the same sample fraction and analyzed together.
A PM2.5 cyclone is located after the PMl0 cyclone. Stack gas is extracted at a pre-determined constant sampling
rate to achieve near l00o/o isokinetic sampling ratios through the in-stack PMl0 and PM2.5 cyclones. The cyclones
separate particles with nominal aerodynamic diameters of greater than l0 pm, less than lOpm and greater than 2.5
pm, and allow particles less than or equal to 2.5 pm and stack gases to continue through the heated sample probe
and heated sample venturi to be diluted and cooled in the mixing cone and residence chamber before being captured
by the 142-mm filter. Fittered, dehumidified, and temperature adjusted dilution air is added to the stack gas sample
(now containing only the particles of less than 2.5 pm) in a mixing cone. After mixing of the dilution air and stack
sample gas to allow for particulate condensation, PM2.5 is captured on a glass fiber filter bonded with
polytetrafluoroethylene (PFTE) (Section 2.0).
A preliminary velocity traverse was performed prior to the first run to veri! the absence of cyclonic flow and
determine average velocity. A preliminary moisture run was conducted to target sampling conditions. Sampling was
conducted at multiple traverse points during each run. (Section 8.2). The sample train was operated as described in
Section 8.6 with data collected electronically (Sections 6.5.1 and 8.6.4.4). Each test consisted of three (3)
approximately 240-minute runs. At the completion of each test run, a leak check of the non-diluted sample section
was done after removing the cyclones. The leak check was performed by attaching a vacuum pump to the mixing
chamber at the dilution air entrance. A vacuum was pulled to verify a leak rate of less than 0.02 cfm using the
rotameter on the front end of the vacuum pump (Section 8.5.1.2 and 8.6.4.6). The CTM-039 recovery of the 142-
mm filter and rinses were conducted as described in Section 8.7:
o Container No. I (Nozzle and Cyclone I)
o Great than PMl0 - optional
o Container No. 2 (Cyclones I and IV)
o PMl0 to PM2.5 acetone rinse
o Container No. 3 (Mixing Cone, Residence Chamber, and Filter Holder Inlet)
o less than PM2.5 water rinse
r Container No. 4 (Cyclone IV, Probe, Sample Venturi, Mixing Cone, Residence Chamber, Filter Holder Inlet)
o less than PM2.5 acetone rinse
. Container No. 5 (Filter)
o 142 mm filter
A sample train blank was not collected.
Fra
AST-2023- l 660-0 I 0 HF Sinclair - West Bountiful. UT Page 3-2
puahrpe
ll '-i !\J i. .r irt ai.j [:Source Tesl Reporl
1'estins Methodolosv
3.5 U.S. EPA Reference Test Method 19 - Mass Emission Factors
Fuel samples were procured and analyzed onsite by HF Sinclair. Samples were collected as close as possible to
each test run for each source. The laboratory analysis was used to calculate a dry Ou based F-Factor in accordance
with U.S. EPA Reference Test Method 19. The mass emission factor (lb/\4MBtu) was calculated using the pollutant
concentration, 02 concentration and the calculated F-Factor.
3.6 Quality Assurance/Quality Control - U.S. EPA Reference Test Method 3A
Cylinder calibration gases used met EPA Protocol I (+l- 2o/o) standards. Copies ofall calibration gas certificates can
be found in the Quality Assurance/Quality Control Appendix.
Low Level gas was introduced directly to the analyzer. After adjusting the analyzer to the Low-Level gas
concentration and once the analyzer reading was stable, the analyzer value was recorded. This process was repeated
for the High-Level gas. For the Calibration Error Test, Low, Mid, and High Level calibration gases were
sequentially introduced directly to the analyzer. All values were within 2.0 percent of the Calibration Span or 0.5%o
absolute difference.
High or Mid Level gas (whichever was closer to the stack gas concentration) was introduced at the probe and the
time required for the analyzer reading to reach 95 percent or 0.5%o (whichever was less restrictive) of the gas
concentration was recorded. The analyzer reading was observed until it reached a stable value, and this value was
recorded. Next, Low Level gas was introduced at the probe and the time required for the analyzer reading to
decrease to a value within 5.0 percent or 0.5%o (whichever was less restrictive) was recorded. If the Low-Level gas
was zero gas, the response was 0.5%o or 5.0 percent ofthe upscale gas concentration (whichever was less restrictive).
The analyzer reading was observed until it reached a stable value and this value was recorded. The measurement
system response time and initial system bias were determined from these data. The System Bias was within 5.0
percent ofthe Calibration Span or 0.5% absolute difference.
High or Mid Level gas (whichever was closer to the stack gas concentration) was introduced at the probe. After the
analyzer response was stable, the value was recorded. Next, Low Level gas was introduced at the probe, and the
analyzer value recorded once it reached a stable response. The System Bias was within 5.0 percent of the
Calibration Span or 0.5olo absolute difference or the data was invalidated and the Calibration Error Test and System
Bias were repeated.
Drift between pre- and post-run System Bias was within 3 percent of the Calibration Span or 0.57o absolute
difference. Ifthe drift exceeded 3 percent or 0.5Yo, the Calibration Error Test and System Bias were repeated.
To determine the number of sampling points, a gas stratification check was conducted prior to initiating testing. The
pollutant concentrations were measured at three points (16.7, 50.0 and 83.3 percent of the measurement line). Each
traverse point was sampled for a minimum of twice the system response time.
If the diluent concentration at each traverse point did not differ more than 5 percent or 0.3Yo (whichever was less
restrictive) of the average pollutant concentration, then single point sampling was conducted during the test runs. If
the pollutant concentration did not meet these specifications but differed less than l0 percent or 0.5%o from the
average concentration, then three (3) point sampling was conducted (stacks less than 7.8 feet in diameter - 16.7, 50.0
and 83.3 percent of the measurement line; stacks greater than 7.8 feet in diameter - 0.4, 1.0, and 2.0 meters from the
stack wall). Ifthe pollutant concentration differed by more than l0 percent or 0.5o/o from the average concentration,
HF Sinclair - West Bountiful, UTAST-2023-1660-010
12 of 201
Page 3-3
put6rrce
TECHNICAL GFlOUP Source Test Report
Testins Methodoloev
thensamplingwasconductedataminimumoftwelve(12)traversepoints. Copiesofstatificationcheckdatacan
be found in the Quality Assurance/Quality Control Appendix.
A Data Acquisition System with battery backup was used to record the instrument response in one (l) minute
averages. The data was continuously stored as a I.CSV file in Excel format on the hard drive of a computer. At the
completion of testing, the data was also saved to the Alliance server. All data was reviewed by the Field Team
Leader before leaving the facility. Once arriving at Alliance's office, all written and electronic data was
relinquished to the report coordinator and then a final review was performed by the Project Manager.
HF Sinclair - West Bountitul, UTAST-2023- I 660-0 l0
l3 of20l
Page 3-4
l4 of20l
AIffirrceTECH\iCAL GRO{JP
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Run No. /Method Run I / Method 3,{
Oz - Outlet Concentration (C$, % dry
Co,= (Co,-Cor. ( #;)
where,
Cor,
-!{-
: average analy zer value during test, o/o dry
Co 0.10 = average ofpretest & posttest zero responses,o/o dry
Cro A : actual concentration of calibration gas, o/o dry
CM 10.92 : average ofpretest & posttest calibration responses, %o dry
Co, 7.55 = Oz Concentration,o/o dry
15 of20l
allffirrceTECH\ICAL GROUP
Location: HF Sinclair Woods Cross Refinins, LLC - West Bountiful. UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Run No. /Method Run I / Method 3,A.
COz - Outlet Concentration (C6sJ, 7o dry
cco,= (cor.-co). ( #e;)
where,
CdD" 7.46 = average analyzer value during test,o/odry
Co 0.06 = average of pretest & posttest zero responses , % dry
CMA 10.74 : actual concentration ofcalibration gas,Vodry
CM 10.75 : average ofpretest & posttest calibration responses, o/o dry
Cco, 7.43 : CO, Concentration, %o dry
l6 of20l
alIffirceTTCHNICAL GROUF
Location: HF Sinclair Woods Cross Refinin g, LLC - West Bountiful, UT
Appendix A
Example Calculations
Source: Process Heater 20H3
Project No.: AST-2023-1660
Run No.: 1
Parameter: VFR
Average Stack Gas Flow at Stack Conditions (Qa), acfm
Vs 19.9 : stack gas velocity, fVsec
As 18.35 = cross-sectional area ofstack, ft2
Qa 21,946 : acfm
Average Stack Gas Flow at Standard Conditions (Qs), dscfm
Qa : 60x Vs x k
where,
gs - 17.647x Qa * (t - BWS)" P'
Ts
Qa 21,946 : ave.age stack gas flowat stack conditions, acfm
BWS ;!![: moisture fraction, dimensionless
Ps 25.78 = absolute stack gas pressure, in. Hg
Ts 1091.6 : absolute stack temperature, "R
Qs 7,684 : dscfm
17 of20l
AIffirre
Ti: Cl'l f; I CAa {l trC l..l i)
Conditional Test Method (CTM) 039
Example Hand Calculation QA
Facility: HF Sinclair Woods Cross Refining
Source: Heater20H3
Run No.:
Test Date:8t29-8BOt23
Wt,tVol of Aetone Blank (mglmL); Contrin€r No. 6
^ l.l9v' 239.i * o-1.g
Lr - 0-0063 mg/mL
n " : Net lleight ofAcetone Blank (Contoinet No. 6), mg
V " : Volume ofAcetone Blank, mL
0.79 g cmr : density ofqcelone
Net Weight ofPM Due to Acetone, mgi Cortainer No. 2
wa = 53.7 x 0.0063 wa =
V ", = l/olume of Acetone, mL
C " : Wt. Vol. ofAcetone Blank, mg mL
Net Weigha of Psrticulate Mataer (Blatrk Correted), mg; Container No. 2
h2-"o". = 0.0000 - 0.337 E2-"o", =0.0000 mg
m 2 - lyeight of Pdrticulate Mauer (Contqiner No. 2), mg
W " : Net Weight of PM Due to Acetone, mg
*For resulb rcpo(ed with negative results,0.0000 ws used for the cdcuhlions.
Net Weight of PM Due to Acetone, mg; Contriner No. 4
Wr-207.3 x 0.0063 wa =
V o, : Volume ofAcetone, mL
0.790*
C . = l{t.'Vol. ofAcetone Blonk, mg'nL
*nax a llo$db le sub irct ion
Net Weight of Particul.te Mrtter (Blank Corrsted), mgi Coniriner No. 4
h+"o.. = 0,E60 - 0.790 h2-co.. =
m t : Weighl ofPotticulqte Matter (Contaiher No. 1), mg
W " = Net Weight of PM Due to Acetone, mg
*For rcsults reponed with negative rcsults,0-0000 wil used for the calculations
WtJVol of DI W8aer Blank (mg/mL); Contriner No. 7
C*=
276.7
v"
C*=0.0052 mg/ml
0.337
0.070
t.4s
= Net Weight ofAcetone Blank (Container No. 6), mg
: Volume ofAcetone Blank, mL
l8 of20l
lffirrce
Ti- irl, - \ :'"s|, ' '
Conditional Test Method (CTM) 039
Example Hand Calculation QA
Facility: HF Sinclair Woods Cross Refining
Source: Heater20H3
Run No.:
Test Date: 8129-880123
Net Weight of PM Due to DI Water, mg; Container No.3
tvw= 166.8 x 0.0052 ww = 0,874 mg
V *, - Volune of DI lilater, mL
C. = Wt. Vol. of Dl lllater Blank, mg,'ml
Net Weight of Prrticulate Mrtter (Bhnk Correted), mg; Container No. 3
h3-"o""= 0.840 - 0.874 lll3-"oo = 0.0000 mg
m 3 : Weigfu ofPqrticulate Maner (Contqiner No. 3), mg
W " : Net tyeight of PM Due ro Dl lYqter, mg
'For resulb Epo(ed with negative rcsu|ts.0.0000 was used for the calculations
Conetraration (mg/dscm)
LPMI0 -
(0.0000 + 0.0000 + 0.070 + 0.650)CPuro = 0.330 mgldscm2.18
C pLrn : Pqrticuldle concentrqtion (ng'dscm)
m 2-@t : Containet No. 2 Mass - PM <10 pm and >2.5 pm (Acetone Rirce); Net Weight ofPqfiiculate Matter (BlonkConected), mg
m j-"oo : Container No. 3 Mass - PM <2.5 pm (Dl Riwe): Net Weight of Pqiliculqte Moilet (DI Wdtet BlonkConected), mg
m !-con = Container No. I Mass - PM <2.5 pm (Acetone RiNe); Net Weight of Particuldte Mqttet (Acetone Blank Corected), mg
m5 = Contqiner No. 5 Mqss - PM .:2.5 pn (Filter): Weight of Parriculate Matter, mg
V,roal = Sample volume al standord conditions (m3 )
Emission Rate (lb/MMBtu)
D - Cr*ro *p * 20.9L pI4 rn - :-:--:-:-::------:o - 35 .3147 x453,592 ^' o ^ (20 g-olr)
E pLrn = Emission rqle (b'MMBtu)
C p111s : Pollulant concentmlion (mg/dscm)
F a - Dry O 2 bosed F Fqctot (dsclMMBtu)
O 2 = Stack gos orygen concenlrdtion (96vd)
0.330 x E.2Et.0 x 20.9Epnro =
3s.3147 X 4s3,s92
l9 of20l
( 20.9 - s.98 )
Eruro = 2.4F.04 tb/tltMBtu
punffirpc!
l'fal",NICAi Oll()iir
Conditional Test Method (CTM) 039
Example Hand Calculation QA
Facility: HF Sinclair Woods Cross Refining
Source: Heater2OH3
Emission Rate (lb/hr)
Er*ro:fuxQ"ax 6o
Run No.:
Test Date: 8129-880123
M pLrrc : Emission rate (bihr)
C p111s : Pollutant concentmlion (mg'dscm)
Q s - Stack gasJlo'| rqte (dscfm)
60 : Minules per hour
_ 0.33 X 7,903 X 60
J5.3147 X 453,592
Emision Rate (lb/MMscO
ER ,* to = M pM to + Fuel- llow
Mpuro = 9.8E-03 tb/hr
ERpuro = 4.6E-01 Ib/rlrMscf
106
DPMI0 -
ER pyp : Emission rqte qb/MMscl)
M pMrc - Emission rote qbihr)
Fuel Flow : Fuel gasJlm, rute $cJh)
9.8E-03 / 21,220
1,000,000
2O of20l
2l of20l
AIffirpeTeei{N1c"{L aRe{Jp
Emission Calculations
Lo.ution
Source Process Heater 20H3
Project No. .{ST-2023-l 660
Prrrret"t
lun Number Runl Run2 Run3 Averase
)ate
itart Time
;top Time
lun Time. min (e)
8/25/23
8:26
12:56
240.0 243.7
8t28-8/29/23 8t29-8130/23
23:03 23:30
3:12 3:38
239.9 251 .2
INPUT DATA
ruel Gas Flow Rate, scfh
{eat Input, MMBtuihr
ruel Factor (O2 dry), dscflMMBtu
]arometric Pressure, in. Hg
vleter Correction Factor
.lozzle Diameter, in
\rea of Nozzle, ft2
lotal Mass of PMl0 pm, mg (m2 + m3 + m4 + ms)
lotal Mass of PM <10 pm and >2.5 pm, mg (m2)
lotal Mass of PM <2.5 um. ms (m. + m" + m.)
20,783
18.51
8,26s
25.75
1.142
0.370
0.00075
1.47
0.000
1.47
(FR)
(HD
(Fd)
(Pb)
(Y)
(Dn)
(An)
(mpr,aro)
(mpvro-z.s)
(m*,,J
20,190
18. 13
8,255
25.80
1.142
0.370
0.00075
2.16
0.000
2.16
20,940
17.27
8,2s9
25.77
1.142
0.370
0.00075
1.54
0.000
1.54
21,220
20.13
8,28 r
2s.68
1.142
0.370
0.00075
0.720
0.000
0.720
CTM-039 LOGGER DATA
)ilution Flow Rate, dscfm
iample Flow Rate, dscfm
r'olume Sampled, dscf
y'olume Sampled, dscm
y'iscosity
leynolds Number
)unningham Correction Factor
)articulate Cut Diameter for PMl0
)articulate Cut Diameter for PM2.5
)itution Ratio
vloisture Fraction Measured
sokinetic Samnlins Rate (o/")
6.86
0.328
78.6
aa1
285.6
I,846.6
l. l6
10.28
2.60
21.82
0.t57
103.s
(Q,rr",,r)
(Q"a,a)
(V"r",a)
(V"a,a)
(u)
(N*)
(c)
(D:o)
(Dso)
(DR)
(BWSmsd)
(n
6.91
0.328
78.6
2.23
288.4
1,840.5
L16
10.47
2.s8
21.87
0.160
104 8
7.01
0.333
79.9
2.26
284.2
1,890. I
l.l6
10.09
2.53
21.94
0.160
105 I
6.66
0.322
77.1
2.18
2U.4
1,809. I
l.l5
r0.29
2.68
21.65
0.150
100.5
EMISSION CALCULATIONS
)M l0 Concentration, grain/dscf
)Ml0 Concentration, mg/dscm
)Ml0 Emission Rate, lb/hr
)Ml0 Emission Factor, lb,MMBtu (O2)
)Ml0 Emission Rate, lb/MMscf fuel gas
(Cpuro)
(Cpvro)
(PNR)
(EFpruro oza)
(ERo,n)
0.00042
0.969
2.8E-02
7.8E-04
l.4E+00
0.00030
0.680
2.0E-02
4.9E-04
9.58-0t
0.00014
0.330
9.8E43
2.4E-04
4.68-01
0.00029
0.660
1.9E-02
5.08-04
9.3E-01
PM<
PM<
PM<
PM<
PM<
0 pm and >2.5 [m Concentration, grain/dscf
0 pm and >2.5 lrm Concentration, mg/dscm
0 pm and >2.5 pm Emission Rate, lb/hr
0 pm and >2.5 pm Emission Factor, lb/lvlMBtu (O2)
0 um and >2.5 um Emission Rate. lb,MMscf fuel gas
(Cpr"lro-z.s)
(C"r,n-, s)
(PMR)
(EFpr',rro-z.s oz,r)
(ERo,n-r r)
0.0000
0.000
0.0E+00
0.0E+00
0 0E+00
0.0000
0.000
0.0E+00
0.0E+00
0.0E+00
0.0000
0.000
0.0E+00
0.0E+00
0.0E+00
0.0000
0.000
0.0E+00
0.0E{{0
0.08+{0
,M <2.5 Concentration, grair/dscf
)M <2.5 Concentration, mg/dscm
>M <2.5 Emission Rate, lb/hr
)M <2.5 Emission Factor, lb/MMBtu (O2)
>M <2 5 um Emission Rate lb/N4Mscf fuel sas
(Cpu:.s)
(Cpv:.s)
(PlvR)
(EFpr"rz.s oza)
(ER"^,,.)
0.00042
0.969
2.8E-02
7.8E-04
I 4E+00
0.00030
0.680
2.OE-02
4.98-04
9 5E-01
0.00014
0.330
9.8E-03
2.48-04
4.6E-01
0.00029
0.660
t9E-02
5.0E-04
9.3E-01
22 of 201
HF Sinclair Wods Crcss Refining LLC
west Boutiful, UT Lab Data Process Heater 20H3
August 25 & 28-30, 2023
Run I Run 2 Run 3
lontainer No. I Mass - PM >10 um
iample No.
fleight of Particulate Matter, mg (mr)
y'olume of Acetone, mL (V*)
.let Weight of Acetone Blank (Container No. 6), mg (m")
/olume of Acetone Blank, mL (V")
ilt./Vol. of Acetone Blank, mg/ml (c,)
,Iet Weight of PM Due to Acetone, mg (W")
.let Weight of Particulate Matter (Blank Corected), mg
14G33467-l
0.,145
58.2
l.l9
239.7
0.0063
0.366
o.079
140-33467-6
0.280
65.4
1.19
239.7
0.0063
0.41I
0.0000
14u33467-tl
0.0100
60,4
l.l9
239.7
0.0063
0.380
0.00u)
lontainer No.2 Mass - PM <10 um and >2.5 um
iample No.
treight of Particulate Matter, mg (mz)
/olume of Acetone, mL (V*)
{et Weight of Acetone Blank (Container No. 6), mg (mJ
y'olume of Acetone Blank, mL (%)
ilt./Vol. of Acetone Blank, mg/ml (cJ
{et Weight of PM Due to Acetone, mg (W")
,let Weisht of Particulate Matter (Blank Corrected). mg
140-33467-2
0.230
41.3
l.l9
239.7
0.0063
0.260
0.fi)00
t40-33467-7
0.0000
88.3
l.l9
239.7
0.0063
0.555
0.0000
140-33467-12
0.0000
53.7
l.l9
239.7
0.0063
0.337
0.0000
lontainer No.3 Mass - PM <2.5 [m
iample No.
ileight of Particulate Matter, mg (mt)
y'olume of DI Water, mL (VJ
.let Weight of Dl Water Blank (Container No. 7), mg (m*)
/olume of DI Water Blank, mL (V")
ilt.iVol. of DI Water Blank, mg/ml (c,)
.let Weight of PM Due to DI Water, mg (W")
,let Weight of Particulate Matter (Blank Corected), mg
14u33467-3
1.29
160.9
1.4s
216.7
0.00s2
0.843
0.u7
140-33467-8
0.370
137,7
1.45
276.1
0.00s2
o.722
0.0000
140-33467-13
0.840
166.8
l.4s
276,7
0.0052
o.874
0.0000
lontainer No.4 Mass - PM <2.5 um
iample No.
ileight of Particulate Matter, mg (m+)
y'olumeofAcetone, mL (V-)
,let Weight of Acetone Blank (Container No. 6), mg (nU)
/olume of Acetone Blank, mL (%)
ilt./Vol. of Acetone Blank, mg/ml (c")
rlet Weight of PM Due to Acetone, mg (W")
.let Weight of Particulate Matter (Blank Corrected), mg
14033467-4
l.7s
193.9
l.l9
239.7
0.0063
0.790
0.960
140-33467-9
1.33
164.0
l.l9
239.7
0.0063
0.790
0.s40
r40-33467-14
0.860
207.3
l.l9
239.7
0.0063
0.790
0.070
lontainer No.5 Mass - PM <2.5 um
iample No.
ileight of Particulate Matter, mg (ms)
140-33467-5
0.750
14G33467-10
1.00
r4G33467-ts
0.6s0
Note l: For results reported with negative results, 0.0000 was used for the calculations.
Note 2: Regent Blanks from 5/16/23
23 of20l
gAIiatrcE)
TEC-'IN"CAL fiFlOU:)
Volumetric Flow Rate Data
Location HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source Process Heater 20H3
Project No. AST-2023-1660
Parameter PM (CTM-039)
lun Number Runl Run2 Run3 Average
)ate
itart Time
itop Time
lun Time. min
8t25t23
8:26
12:56
240.0
8t28-8/29123 8129-8130123
23:03 23:30
3:12 3:38
239.9 2s1.2 243.7
CALCULATED DATA
litot Tube Coefficient
farometric Pressure, in. Hg
Itatic Pressure, in. WC
Itack Pressure, in. Hg
itack Cross-sectional Area, ft2
femperature, oF
femperature, oR
Vloisture Fraction
3O2 Concentration,o/o
)2 Concentration, o/o
Vlolecular Weight, lb/lb-mole (dry)
Molecular Weight, lb/lb-mole (wet)
VelociW. fVsec
(cp)
(Pb)
(Pe)
(Ps)
(As)
(Ts)
(Ts)
(BWS)
(Coz)
(o,
(Md)
(Ms)
ffs)
0.758
25.80
-0.26
25.78
18.35
631.6
r091.6
0.160
7.43
7.55
29.49
27.78
19.9
0.758
25.77
-0. l9
25.76
18.35
605.0
1065.0
0.160
8.33
5.86
29.57
27.66
19.7
0.758
25.68
-0.19
25.66
r 8.35
602.2
1062.2
0.150
8.46
5.98
29.59
27.77
19.8
0.758
25.75
-0.21
25.73
18.35
612.9
t072.9
0.157
8.08
6.46
29.55
27.74
19.8
VOLUMETRIC FLOW RATE
A.t Stack Conditions, acfrn
A,t Standard Conditions, dscfm
(Qa)
(Qs)
21,946
7,684
21,727
7,789
21,809
7,903
21,827
7,792
24 of 201
ellffirEBTTCIINICAL GN$I,' P
Cyclonic FIow Check
Location HF Sinclair Woods Cross Refinine. LLC - West Bountiful. UT
Source Process Heater 20H3
Project No. ASI{023-l{60
D*e 8125123
Sample Point Angle (AP=0)
I
2
3
4
5
6
7
8
9
l0
ll
t2
l3
t4
15
16
Average
0
0
5
5
5
5
5
0
0
5
5
0
5
l0
5
0
3.4
25 of 2Ol
Almrrce
TTCIINICAL ENOUTl
Method 4Data
Location HF Sinclair Woods Cross Relininq' LLC - West Bountiful, UT
Source Process Heater 20H3
Project No. AST-20?3-
Parameter(s) Moisture
Console Units / Method ft3 M4
Run No.
Date
Status
Start Time
End Time
Run Time, min (e)
Mafer ID
I
8t2st23
VALID
7:20
8:05
60
MB-704
Meter Correction factor (Y)
Orilice Calibration Value (AH @)
Max Vacuum, in. Hg
Post Lsk Chmk. ft3lmin (at max vac.)
0.992
1.860
4
0.000
Vleter Volume, ft3
0
5
10
ls
20
25
30
35
40
45
fotal Meter Volume, ft3 (Vm)
482.564
485.730
488 835
492.010
495. t60
498.3 l5
50 1.440
504.570
507.700
5 I 0.829
28.26s
Temperature, oF
0
5
l0
l5
20
25
30
35
40
43
Average Temperature, oF (Tm)
Average Temperature, oR (Tm)
Minimum Temperature, oF
Mrximum Temnerature. oF
Meter
80
76
76
76
76
76
76
77
s36
76
80
Probe Filter Vacuum
4
4
4
4
4
4
4
4
4
4
4
4
4
Imp. f,xit
67
62
60
59
60
60
6l
62
63
63
62
59
67
Sarometric Pressure, in. Hg (Pb)
Vleter Orifice Pressure, in. WC (AH)
Ueter Pressure, in. IIg (Pm)
itandard Meter Volume. ft3 (Vmstd)
25.16
0.600
25.20
23.236
lnalysis Type
,mpinger I, Pre/Post Test, g
.mpinger 2, Pre/Post Test, g
lmpinger 3, Pre/Post Test, g
lmpinger 4, PrelPost Test, g
folume Water Collected, mL (Vlc)
itandard Water Volume, ftr (Vwstd)
Vloisture Fraction Measured (BWS)
]as Molecular Weight, lb/lb-mole (dry) (Md)
DGM Calibration Check Value (Yqa)
Gravimetric
H20
H20
Empty
Silica
420.0
427.t
311.4
587.9
460.0
433.5
340.9
591.9
40.0
6.4
29.5
4.0
79.9
3.t6t
0.140
29.49
0.7
26 of 201
3C
N
€
F
t3
t
t
E
E
t
E
t
E
3
3
S
t
E
3
3
3
3
E
3
3
E
E
3
E
3
E
E
3
E
E
e
E
E
3
3
E
3
E
8
8
3
8
E
E
3
3
E
E
3
3
E
3
3
E
E
3
3
3
g
3
8
3
E
E
8
d
^
d
d
d
^
^
d
^
d
d
d
d
d
d
d
d
d
d
d
^
d
d
d
d
d
d
d
d
d
d
d
d
d
^
d
d
d
d
d
^
N
d
d
^
d
N
d
d
d
d
d
:
:3
F
R
8
5
E
-
E
s
n
i
$
E
$
i
:
a
i
q
r
i
i
s
q
i
F
S
a
i
q
n
:
6
E
s
*
S
E
a
E
q
i
:
s
e
q
i
{
5
a
E
q
3
:
S
E
I
q
I
E
i
E
i
i
:
S
j:
-
-
.
;
eh
r
-
o
3^
*
d
{
.
=
o
e
f
e
:
A
A
-
i
=
a
=
=
!
I
=
5=
h
n
a
a
*
a
l
l
n
9
i
e
q
Q
q
-
-
n
i
l
n
n
i
i
f
nn
l
n
a
n
n
n
n
n
l
n
a
a
a
a
a
n
n
a
a
a
n
a
n
n
t
!
a
e
t
a
q
a
n
n
n
n
n
t
q9
q
P
a
e
a
n
f
:n
1
1
9
9
e
q
?
e
n
?
q
q
-
c
-
q
?
e
n
q
-
-
-
-
Q
e
?
-
1
-
-
Q
n
-
q
-
-
q
q
e
E
s
S
.!
-
n
:s
t2Eiaa€t
s
8-
1
aq
a
Q
e
?
Q
?
q
i
t
t
t
t
i
t
t
t
\
t
i
i
i
i
t
i
t
t
i
i
i
i
i
i
i
r
i
i
i
i
i
i
i
i
i
i
t
t
i
i
i
t
t
i
i
co
q
q
n
!
9
F
68
6
q
q
q
a
s
a
q
q
a
a
q
a
5
q
q
5
8
s
q
a
i
s
s
8
8
8
3
a
$
q
6
5
6
6
6
6
6
6
6
;
;
a
6
6
a
a
5
6
6
5
i
n
a
;
;
i
e
;
i
6
6
6
6
6
Ca
3
3
-
+6
o
c
F
6+
o
o
t
s
i:
d
d
d
d
d
d
d
d
^
N
d
d
-
e
-
d
e
d
d
6
d
e
6
;;
;
+
;
,
+
+
6
6
-
6
OO
Yo
t.
E3.
"
(J
RA
F
=
E
;
p
S
F
a
F
A
F
f
r
F
B
f
r
f
r
e
E
R
;
R
g
p
n
B
g
p
n
;
8
=
f
;
8
:
E
S
E
:
*
s
3
!
E
E
S
i
A
*
3
:
?
S
:
e
q
E
=
.
s
6
3
=
9
c
E
tF
:E'E
.eIE
rF-esa-r
27
of
2
0
l
.!
*
:
3a
g
ts
:
:
-
n
n
t
i
q
q
i
6
9
9
9
<
l
a
a
l
n
n
l
l
n
e
a
i
l
n
r
n
n
a
l
a
l
q
q
n
n
i
a
n
n
a
a
r
r
i
??
9
n
n
n
a
l
a
a
a
a
a
a
a
n
n
n
n
l
q
a
n
n
a
a
a
a
a
a
n
a
a
n
a
a
n
a
n
a
a
n
a
a
n
n
a
n
a
a
-5
d
€
r
F
6
6
-
€
aa
x
q
i
9
!
a
9
?
a
!
9
i
P
q
9
q
-
a
n
n
q
n
n
a
a
n
n
a
a
a
a
i
i
a
n
a
a
a
n
n
a
n
n
a
n
l
l
n
qq
q
q
q
q
q
q
n
q
q
q
q
q
q
q
q
q
q
q
a
q
q
q
q
q
q
q
q
q
q
q
q
q
c
q
q
q
q
ii
i
i
i
r
i
i
t
l
i
\
r
i
r
i
t
i
i
i
i
l
i
t
F
i
i
i
i
F
t
i
i
i
t
i
i
i
t
t
t
t
l
i
t
t
i
i
t
50
;
9
t
a
q
1
a
{
9
q
1
9
Q
9
n
q
n
n
n
i
-
i
:
9
n
i
a
q
?
9
*
i
q
c
-
i
i
i
l
9
9
l
a
n
l
q
q
q
'
-
;
:
=
:
9
!
!
!
=
=
=
=
=
22
2
2
2
=
=
=
=
=
=
3
=
=
=
=
3
=
=
=
=
=
=
I
=
=
=
=
=
=
22
2
=
=
n!
Q
9
n
q
9
I
a
A
l
n
:
q
l
1
q
q
C
9
l
n
e
C
9
l
q
:
q
t
!
a
-
q
i
9
a
:
a
t
!
n
-
q
t
9
1
n
q
d?
=
=
=
3
r
-
e
--
-
e
-
r
!
5
:
E
I
3
:8
C
3
g
e
ra
o
*
9
-
n
i
n
C
a
i
q
l
a
P
t
i
q
q
n
l
9
q
Q
-
l
l
?
::
-
o
d
r
d
6
d
r
:
:
r
:
:
!
3
3
8
8
8
8
8
8
8
5
E
5
8
5
5
5
8
5
Pq
q
q
q
q
q
q
q
q
6
3t
3
3
9
3
3
8
3
t
t
3
3
t
E
3
8
8
3
E
3
3
8
8
8
8
3
3
3
8
3
3
3
8
3
8
8
3
3
3
3
3
3
8
8
^d
^
i
d
d
d
n
d
d
d
N
d
^
A
i
N
A
d
d
d
^
^
^
a
d
n
d
i
^
{
d
n
^
n
^
^
^
cc
i
i
i
i
i
i
t
i
t
t
t
i
t
i
t
i
f
t
t
i
i
i
i
i
i
i
i
\
t
r
33
3
3
e
9:
:
9
9
S3
E
n
e
i
F
E
B
R
a
E
s
s
e
E
B
$
3(r
a
E.
E
B.
e
?!
.9
3
QEat
;e
ii
6
;
;
;
d
d
;
;5
d
i
d
j
j
i
l
i
i
i
i
;
;
;
;
+;
*
;
6
;
;
f
r
d
;
;
;
d
i
d
d
&
&
d
-&
&
&
-
-
-
-
-
;
e
d
i
6
A
n
a
a
;
6
i
d
;
;
;
;
d
;
;
d
d
.
d
;
;
d
d
d
6
dd
n
;
d
d
d
t
;
n
d
e
Et
}E
4
-?
:t
s
':
-o
\
14
1
1
4
1
4
1
1
1
1
1
6;
;
;
d
-
;
;
d
+
;
6
+
dd
d
d
d
d
d
d
d
d
d
d
33
8
3
E
3
3
3
8
3
8
8
,h
h
h
6
r
6
l
nq
n
q
a
q
q
q
q
q
q
q
;i
i
i
i
i
i
i
i
i
i
;
id
;
6
d
d
r
d
6
d
i
i
:n
9
e
-
n
9
e
-
n
9
t
6;
i
d
d
d
d
6
6
6
6
6
28
of
2
0
1
an
n
n
n
t
n
n
n
n
n
r
t
n
n
n
l
9
a
n
n
l
n
n
l
t
n
n
n
n
t
t
n
t
n
n
l
-
l
-
-
a
:
aa
a
a
a
a
a
a
n
a
a
a
a
a
a
n
a
a
a
a
a
a
n
e
a
n
n
n
a
n
n
t
a
l
l
i
i
i
a
i
n
n
a
nn
n
n
a
a
l
a
a
a
l
l
a
a
a
a
n
i
a
i
n
9
a
a
e
a
a
l
!
a
l
n
a
n
a
a
r
n
r
n
e
a
a
88
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
3
3
8
8
8
8
8
3
3
8
8
8
8
99
4
9
e
9
9
9
9
9
9
9
9
!
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
r
9
!
9
r
!
9
9
9
9
9
9
9
9
ii
i
i
i
t
r
i
i
i
i
i
i
i
i
t
i
i
t
i
i
t
i
i
i
i
i
t
t
i
i
i
q
i
i
i
t
t
t
t
f
it
ii
e
e
r
e
?
q
q
q
q
q
e
P
e
e
e
e
t
t
i
t
i
t
9
9
9
t
9
9
9
9
9
9
9
9
t
n
n
9
n
!
!
-o
d
l
r
^
i
|
:
3
l
to
+
6
i
Q
ln
t
t
!
n
1
1
n
a
1
a
!
a
1
n
1
n
n
n
1
1
a
-
a
1
n
9
!
1
n
-
r
1
1
9
r
n
l
a
!
9
4
--
o
-
c
o
-
-
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
n
q
n
q
q
q
q
?
q
q
l
q
q
q
q
q
q
l
q
q
q
q
q
q
q
q
q
q
ti
i
t
\
t
\
F
i
i
i
i
q
t
r
i
t
t
t
t
i
i
i
t
i
t
t
t
i
\
i
t
i
i
i
t
i
t
i
i
i
i
i
at.
E
3.
9
6:
.:
ao3E2
ii
i
i
e
i
s
F
;
;
i
;
i
d
d
d
o'
o
o
o
I
r
:
:
i
i
n
n
;
;
J
;
;
;
;
;
6
6
;
;
G
U
.b
b
i
--
-
-
-
-
i
:
a
i
-
i
:
:
t
n
t
n
n
t
t
t
n
n
n
n
t
t
n
t
n
l
n
t
n
t
n
n
:
t
n
s
l
an
q
a
q
a
a
n
a
a
a
a
a
a
a
n
a
a
a
a
a
a
n
a
a
a
n
n
q
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
1a
a
a
a
i
a
a
n
9
9
a
n
q
1
a
q
q
l
a
a
9
a
1
1
1
!
9
1
na
a
a
a
q
1
a
q
1
1
n
a
a
a
I
n
I
l
t
a
i
1
1
l
l
1
l
1
qq
n
q
q
q
q
q
a
q
q
q
q
q
l
q
q
q
q
q
a
q
q
q
q
q
q
q
q
33
E
E
3
3
8
3
3
3
8
8
3
3
3
3
3
3
3
3
3
3
3
3
3
8
E
3
3
ji
e
i
i
d
d
jd
+
+
d
d
d
n
j
^
i
+
d
h
r
-
d
6
-
r
i
,
it
F
i
i
i
i
i
q
t
i
i
t
t
i
i
i
t
t
r
i
i
i
o
!
a
i
i
i
i
ji
+
G
-
a
j
;
d
F
-d
d
+
€
F
6
j;
d
G
d
d
d
r
d
r
6
-
.d
d
o
d
d
i
s
:
-
:
:
-
-
-
-
-
:
:
r
d
d
i
l
d
d
d
d
d
d
9:
n
:
9
:
i
i
9
:
n
a
9
:
t
a
n
:
n
i
9
:
n
:
9
:
t
l
:
29
of
2
0
l
a
I
nn
n
a
l
qI
n9
a
a
!
a
a
1a
l
n
a
l
a
a
a
1
a
1
-
:
a
a
a
a
n
n
n
q
!:
!
!3
:a,r
z
!,EIt_
.
'c!;;,
rC
d
-
-
-n
!
9
1
a
1
1
1
a
1
9
!
!
!
a
\
e
9
{
r
9
n
a
r
9
9
9
9
1
a
a
9
a
n
1
1
qt
r
t
r
!
t
r
t
t
r
t
r
t
t
r
1
t
r
t
r
t
r
t
r
t
r
t
r
t
r
x
i
t
r
i
t
r
i
t
r
t
r
i
t
r
t
r
t
r
i
t
r
t
r
q
i
t
r
t
r
3=
3
3
3
E
E
E
3
E
A
3
3
3
C
3
E
E
E
e
E
E
E
E
t
t
8
E
8
E
E
8
a
t
8
t
3
ooE.
i
'
8.
9
o
dN
N
d
N
N
N
d
d
N
d
N
d
N
d
^i
^
N
^
ii
i
i
i
i
i
i
t
i
i
i
i
i
i
t
i
i
i
t
i
i
i
i
t
t
i
t
i
\
t
t
i
t
i
i
t
6d
d
6
+
6
-
r
d
r
;
6
d
.
:
N
€
o
;
d
d
6
.
r
r
+
;
d
d
n
+
;
dd
-
F
:
;
6
n
i
d
;
;
d
d
j
d
+
6
-
6
:
e
6
F
d
jd
+
6
r
6
i
d
+
dd
d
:
o-
d
6
+
r
6
G
r
-
5
c
o
-
d
dd
i
o
i
i
i
3
o
i
!t
q
n
9
t
q
q
!
i
q
t
n
i
c
l
9
i
9
n
9
i
?
n
9
!
c
a
9
q
?
n
9
P
?
a
9
;6
d
d
;
F
;
;
d
;
r
a
6
;
5
d
6
5
:
r
i
r
i
i
i
l
n
;
;
;
;
+
;
+
+
6
;
6
rn
n
a
r
n
n
a
a
a
a
n
n
n
:
a
l
t
a
t
a
:
:
a
a
n
a
t
l
i
i
a
a
a
i
:
a
d
d
d
d
d
d
d
d
d
d
d
d
N
N
d
dd
d
d
d
d
^
d
d
d
lq
q
q
6
q
q
n
q
q
q
c
n
q
q
l
q
q
q
q
q
q
a
q
n
q
q
q
q
q
q
q
q
q
q
qn
e
a
a
a
i
a
i
n
a
r
a
i
i
n
n
n
a
n
l
a
n
n
n
r
n
n
n
a
r
e
n
r
n
38
E
3
3
E
3
E
3
E
E
3
E
3
E
E
3
3
E
E
3
3
E
E
3
3
E
3
3
3
3
E
T
E
3
99
9
1
9
1
9
9
!
t
t
t
!
f
9
9
!
n
!
!
t
9
9
9
n
t
n
9
9
t
t
n
9
!
9
91
n
9
C
9
t
1
q
i
!
n
:
q
i
n
a
-
q
9
1
n
?
4
9
1
-
a
t
r
n
-
e
9
1
6C
O
O
O
ct
-
-
-
-
.E
l
-
-
-d
o
e
d
6
r
F
F
Fd
6
d
@
o
o
o
6
El
-
-
-
-
rr
n
&
d
&
*
d
d
d
d
S
o
o
J
r
r
i
r
i
i
{
n
;
;
;
;
;
;
;
;
f
r
;6
6
dd
a
d
d
d
d
d
d
d
d
d
;
d
d
d
d
d
;
d
t
d
t
d
;
;
a
it
d
a
d
;
d
d
t\
i
i
f
i
i
\
i
\
i
i
i
F
30
of
2
0
l
i
r
!
-E
:
gi
:Ee8:2t
99
9
9
9
9
!
i
i
9
9
9
!
q
9
9
9
i
9
9
i
9
9
a
9
9
t
i
t
!
9
9i
?
r
9
t
q
i
!
i
9
l
t
i
q
n
!
i
9
n
n
i
q
n
n
*
q
t
t
e
q
11
4
1
1
1
4
1
1
1
1
4
1
1
4
1
4
4
1
1
4
1
1
a
4
4
4
1
1
1
a
8E
8
3
8
8
8
8
3
3
3
3
8
3
3
3
3
8
3
3
t
3
3
8
t
3
3
3
E
A
3
,oo
t.
E
_a2.
9
EI
(J
+-
-
{
r
;
N
€
h
-
d
A
d
d
+
++
r
-
o
d
iq
a
q
{
e
<
r
r
r
P
e
Q
q
P
P
e
q
P
e
c
r
n
q
q
q
q
?
q
q
?
an
q
i
a
n
q
t
!
r
q
q
9
a
-
q
9
a
n
q
i
9
n
9
c
9
n
-
<
9
n
tt
t
t
t
t
t
?
?
t
?
t
t
t
i
i
i
a
l
i
a
?
l
l
i
?
l
l
?
l
e
-+
o
i
-
+
-
:
-
+
-r
*
=
-
e
.
a
c
-
e
:
1
?
:
T
a
:
GG
i
s
r
r
E
-
&
-
d
d
;
d
Q
Q
Q
Q
:
=
=
=
!
l
a
a
i
!
!
!
!
;;
;
.
t
6
i
d
i
d
;
d
t
;
=
:
:
=
=
=
=
:
:
:
9
=
:
=
=
=
=
n
JJ
j
j
j;
J
l
j
;
:
:
J
j
jJ
-
--
-
nn
n
n
n
n
t
n
n
t
l
l
n
n
l
n
9
n
n
n
l
t
l
n
n
l
n
a
i
n
e
a
i
i
a
t
a
i
a
a
a
19
9
\
n
n
a
a
!
a
n
n
a
!
!
q
n
9
a
!
9
9
9
9
9
9
9
1
9
i
t
9
!
n
a
a
!
9
t
t
9
E3
3
3
E
E
E
9t
t
1
!
n
!
!
!
n
n
n
9
9
9
a
9
!
9
9
1
9
9
!
9
n
!
t
!
4
1
9
9
!
t
9
!
!
l
9
t
j3
1
!
e
?
n
a
!
q
1
!
t
q
t
l
e
-
n
9
e
:
n
9
*
-
n
P
q
-
i
9
e
-
t
q
A
-
i
9
q
d
9
9
9
9
=
:
=
:
M
!
t
!
l
!
a
:
a
=
a!
!
M
9
99
i
t
t
t
!
9
!
=
!q
a
aa
-6
O
N
-
66
6
6
6
i
i
i
i
;
;
;
;
a
;
a
a
o
d
o
6
:
:
:
:
d
{
i
n
;
;
;
;
;
;
+
;
n
6
6
6
3E
E
3
E
8
E
3
3
3
E
E
t
8
3
8
3
8
8
8
8
8
3
E
3
3
8
t
8
3E
E
E
3
3
I
of
2
0
l
::
:
:
:
a
:
:
a
a
:
:
J
-
-
J
j
i
-
-
nn
-
n
e
n
t
l
n
n
a
n
n
a
n
n
n
a
n
n
a
a
a
a
a
=.
5
.
=
-
o
5
5
.
.
=
5
=
5
5
5
-
o
5
5
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
33
8
3
3
3
3
3
3
3
3
3
8
3
3
3
3
3
8
8
3
3
8
8
3
8
i
rE
.!
-
E
=aE'
f,az!g==
r!
9
9
t
i
i
9
a
9
9
!
9
t
l
a
a
t
9
e
1
9
9
€
9
t\
t
i
i
t
t
i
i
t
r
r
i
i
i
t
t
i
i
\
i
t
t
t
i
dd
r
d
;
6
d
i
-
;
6
i
d
i
d
r
d
r
6:
d
;
6
d
o
:-
t
l
1
t
q
q
F
-
q
3
-
l
l
-
1
!
9
i
t
{
q
?
-
!i
q1
!i
?
1
n
i
?
n
d
,
t
q
a
6
i
?
n
9
t
?
1
9
aoo
:.
q
3.
9
O
i9
i
a
9
i
e
9
t
t
i
i
9
1
!
9
!
i
\
9
9
i
9
!
\
9
t
i
9
9
P
i
r
9
9
9
9
9
9
:
9
i
9
t
9
i
9
11
1
n
1
1
1
n
4
4
1
4
1
a
4
1
1
1
4
1
1
4
4
1
1
1
1
1
1
4
4
4
1
1
1
1
n
1
1
4
1
1
n
4
1
1
1
il
i
i
i
t
i
i
t
i
i
\
i
t
i
i
i
i
l
t
t
i
t
t
i
i
t
i
i
i
t
t
i
i
t
i
i
i
t
l
i
t
i
i
t
t
i
co
-
a
6
i-
-
-
i
J
j
j
j
j
ai
a
a
i
a
a
n
a
!
a
n
n
n
l
n
i
n
n
n
n
a
n
a
n
a
n
a
n
a
38
3
3
3
8
8
E
3
3
E
3
3
3
3
=
E
3
E
3
3
3
3
E
3
3
E
E
3
3
E
E
E
8
3
3
E
E
E
E
E
E
E
E
E
3
3
dd
d
d
d
dd
d
d
d
a
o
d
o
o
dN
N
d
d
d
^
N
^
d
N
^
4-
d
@
c
+d
+
d
i
-d
r
d
-
r+
-
^
d
i
N
-
i
d
e
+
N
r
d
r
i
dd
d
d
d
-
N
+
6
d
d
j
6
h
6
d
d
d
;
;
r
s
j
d
i
G
-
d
-
;
h
d
-
d
d
;
6
r
6
-
32
of
20
1
i
cE
x;
i
!x=a
t,
e
t
c;
;
6
d
d
6
6
6
6
;d
d
d
d
d
d
d
d
d
dd
d
j
r
:
j
J
d
d
<=
1
9
-
h
!
-
9
oo
+
:
9
!
=
9
9
dd
d
d
d
d
F
d
n
38
8
8
3
t
8
8
3
8
99
9
9
9
9
9
9
:
9
o;
^
-
€
6
-
6
-;
!
a
!
9
9
t
ii
9
i
9
9
9
9
i
n1
9
1
9
:
t
1
q
99
9
t
e
e
q
q
:
d5
!Fs
QA
=u
:t
r
.?
.?
caa3IE6g!2it!
ti
tR
;+>E
!I
-t
'c
'
e
gQ
-C
=t
n
t
6
n
6
5
6
i
oa
€
6
d
d
d
6
€
o
€6
€
o
d
6
d
6
6
6
o
Qe
E
6
E
A
q
A
€
3
-
E
F
F
4
i
l
i
;
R
e
R
R
F
3
E
E
i
l
i
l
i
F
3
-
A
r
F
e
S
F
e
F
i
i
i
R
P
E
E
E
S
E
F
e
9i
9
9
!
!
!
!
a
!
9
e
i
i
l
!
i
e
a
9
9
9
!
!
9
a
9
9
a
a
9
1
n
n
a
n
l
!
!
n
n
a
a
1
1
q
e
a
a
a
a
9
9
55
5
5
5
5
5
5
5
5
5
5
5
5
5
E
8
5
5
5
8
8
8
5
5
5
5
5
5
E
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
5
E
E
5
5
5
5
5
++
+
+
i
-
a
i
a
a
i
l
i
l
i
n
i
+
6
n
i
a
a
i
n
a
l
l
n
n
n
n
e
e
e
a
a
a
q
i
n
n
n
l
n
n
n
a
a
a
a
a
l
;;
a
;
6
E
E
a
E
E
E
E
E
s
E
E
s
E
S
E
S
a
E
a
a
A
E
a
a
a
A
E
E
A
a
A
a
s
E
E
A
a
a
A
a
A
A
e
e
?
Q
Q
q
e
F
(
i
F
i
i
-
F.
i
-
F
-
-
i
i
-
-
t
-
-
-
-
i
ts
i
-
-
i
i
i
i
i
i
t
I
i
t
i
F
i
i
r
I
I
q
t
i
t
t
t
t
t
ll
n
l
l
i
i
n
h
n
&
l
i
-
-
A
d
-
-
-
N
-
d
d
d
55
8
a
5
-
-
-
-
a
a
E
E
A
8
8
a
3
3
3
8
8
;;
;
;
-
-
-
;
;
6
a
-
6
6
-
.i
.
i
-
;
n
n
.
-
-
-
-
a
n
n
n
r
n
n
n
n
n
r
n
a
n
l
.
n
I
a
I
I
I
n
n
n
I
n
-
I
n
a
!
n
!
!
n
I
n
I
I
ii
d
d
d
d
d
d
d
a
o
d
a
c
c
-e
;
r
3
a
a
f
r
af
r
ca
a
3
f
i
rh
8
3
3
3
3
f
r
fr
GD
h
3
5
f
r
33
H
3
G
G
f
r
e
38
F
*
3
8
5
3
3
3
*
S
9
8
3
S
.
.
.
.
a;
;
=
;
;
;
;
a
o
o
J
c
o
c
o
d
d
o
o
i
.
i
o
o
o
o
i
i
5
o
o
d
3
c
.
.
5
-
o
o
i
i
i
.
88
8
8
8
8
I
3
8
8
E
3
3
3
8
8
3
3
8
8
E
3
3
8
E
3
E
E
3
t
3
a
8
3
3
E
3
3
E
E
8
3
3
3
3
t
e
E
E
E
E
q
q
66
6
6
6
G
6
G
6
6
6
6
6
e
€
ii
i
6
6
a
a
i
e
i
i
i
6
i
n
a
a
a
a
a
a
a
a
a
a
a
a
G
n
6
6
!
n
!
e
!
9
!
n
!
!
e
e
e
e
!
n
!
r
!
!
9
9
rr
i
F
r
i
F
i
i
i
t
t
i
t
t
i
i
l
t
t
i
i
i
i
t
i
i
l
i
i
i
i
i
i
i
F
+-
-
6
-
6
=
o
U
-
F
F
d
-
F
+
+
-
-
-
;
6
d
h
6
-
-
6
-
o
Cd
i
d
d
s
d
d
i
d
d
d
i6
-
d
6
6
6
6
d
t
6
d
.
--
&
-
-
-
-
-
.
-
&
&
-
&
-
-
-
-
-
-
-
-
-
-
-
-
-
&
&
&
-
&
e
&
@
ro
r
+
'
td
d
6
&
-
-
-
-
-
-
F
-
-
-
-
-
F
F
-
L&
&
&
&
L
$
&
b
&
*
i
-
-
-
&
-
a
-
6
A-
-
-
-
-
-
-
&
-
-
-
-
d
d
+c
6
-
0
ih
&
5
-
6
i
-
&
b
a
:
5
9
i
-
6
-
a
n
-
F
h
A
6
-
6
-
.
6
n
a
:
p
9
-5
9
1
-
66
6
6
6
6
G
6
6
o
G
r
r
r
F
.c
o
3
-
il
i
i
i
.
F
F
F
;
F
F
N
F
d
F
t
s
F
T
F
T
d-
A
;
6
S
F
-
d
6
5
:
-
;
+
+
;
6
F
-.
-
-
:
N
d
+
6
6
€
F
6
5
3
:
-;
-
;
-
;
d
;
;
;
o
o
o
d
d
FF
F
d
-
@
-
-
dd
d
-
d
-
-
ae
a
e
a
e
-
e
=
e
-
p
c
5
S
E
$
5
g
f
3
3
g
*
*
3
*
A
$
3
g
B
E
9
:
3
3
=
3
6
3
=
S
G
$
:
5
G
*
!
f
€g
:-
-
-
'
-
-
=:
-
:
:
^^
:
c
5
+6
-
6
+
6
:
-
-
6
:
i
+
5
:
6
6
o
n
6
6
.
-
-
6
o
^
-
6
O
^
6
6
O
^
^
;-
.
;
;
;
;
;
;
;
6
6
n
;
6
6
b
n
r
r
F
-
-
;
;
a
a
d
d
5
5
d
d
i
:
-
ra
i
^A
;;
;
;
;+
+
'
r
,
6
h
6
33
of
2
0
l
Nd
d
d
-
:
i
j
-
-
-
-
:
j
:
:
-
-
-
-
i-
:
i
j
:-
;
-
-
-
-
-
;
-
--
-
J
-
i
d
d
5
5
d
i
d
o
5
d
5
o
o
6
d
i
5
d
3
o
d
.
o
o
i
i
i
i
o
i
a
i
i
a
5
5
a
o
5
5
o
d
d
d
d
d
d
o
o
o
i
i
i
d
d
o
i
o
o
o
o
a
i
o
1\
q
9
9
a
q
i
n
l
q
q
9
i
q
q
l
-
i
-
1
-
1
n
9
i
9
a
1
a
a
9
n
1
9
9
a
9
!
i
r
\
1
r
-
q
q
e
9
t
q
i
q
q
r
r
9
9
9
!
i
t
a
?
q
q
q
q
?
a
aE
a
E
E
S
E
E
A
E
a
E
a
E
A
E
E
A
E
E
a
E
S
E
E
a
E
E
E
E
6
6
;
;
E
;
;
-
8
;
-
l
e
3
a
e
;
q
A
q
q
q
e
q
q
A
q
q
S
A
q
A
q
6
6
6
3
4
4
4
ts
b
b
€
6
6
f
r
6
6
;
i
l
6
b
d
i
l
d
6
6
6
6
6
6
;
6
;
;
;
6
6
4
h
6
6
6
6
6
6
;
6
;
6
6
6
;
+
+
+
6
n
n
;
6
6
6
6
6
5
;
6
6
6
;
6
6
6
6
6
6
;
;
EE
E
E
3
e
E
3
E
E
t
E
E
E
3
3
3
3
E
3
E
3
3
3
t
3
3
3
8
3
3
3
3
3
3
3
3
3
3
3
3
3
3
e
8
E
8
3
3
E
3
E
8
E
E
8
E
E
E
E
E
E
3
€
r
3
3
8
3
69
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
S
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
3al
i
n
a
l
i
n
a
9
:
s
a
9
:
n
n
9
:
n
:
t
:
n
a
9
:
t
l
n
.
i
l
9
-
n
a
Q
:
:
a
a
:
a
:
?
:
:
a
Q
:
9
a
9
:
t
f
9
:
n
:
Q
:
9
a
9
:
1
a
9
9
oa
6
.
c
66
6
3
O
O
O
3
O
o
Fa?
6,
-
j-
d
d
d
d
d
d
F
+
F
6
d
d
jd
+
6
h
d
:
6
a
d
o
6
d
d
6
d
d
-
6
d
r
d
6
6
G
,
j6
o
-
l
d
+
n
d
d
d
d
d
d
j
d
d
d
d
d
d
o
6
or
,
d
h
c
ii
t
t
t
\
i
i
i
i
?
e
t
i
i
e
e
€
i
P
c
i
t
i
e
i
t
t
c
c
6
5
q
q
q
q
q
n
*
?
q
i
:
i
-
-
q
?
Q
-
-
i
-
-
q
n
l
t
t
n
n
q
l
t
l
l
l
n
9
9
ca
c
o
o
qF
S
X
q
F
s
E
q
e
E
F
n
e
s
A
q
E
€
s
q
E
E
a
E
E
E
a
E
a
!
i
!
!
S
s
E
Q
E
i
q
I
i
i
i
+
:
i
q
!
:
E
e
E
r
E
-
i
E
:
i
9
!
i
!
-
c
E
:
I
C
E
dd
-
.
n
.
'
r
n
i
6
6
6
6
6
e
6
6
d
F
d
d
d
d
d
-
d
d
d
d
=
=
=
=
:
=
=
=
a
:
1
3
!
:
:
=
=
=
=
:
9
9
!
9
9
9
9
9
!
!
I
:
=
:
=
3
9
9
9
9
FF
38
8
i;
3
.!
r
l;
-
EEUAE.
g
3.
9
=r
d
I
==
JI
34
of
20
1
d
o
6
6
6
6
d
o
d
6
o
6
d
6
G
d
d
€
o
o
d€
6
6
€
o
o
o
!!
a
n
n
!
9
!
9
9
!
!
!
n
n
9
!
!
9
!
n
!
!
9
!
n
n
n
n
9
9
n
9
9
!
9
!
9
9
9
9
9
!
9
!
!
!
!
9
!
9
9
9
!
9
n
9
9
9
9
!
9
9
9
9
4
!
9
!
!
9
t
!
!
it
i
i
t
t
i
t
r
i
t
t
i
i
i
i
r
i
\
t
\
i
t
t
\
\
\
i
r
t
l
i
i
i
i
i
F
i
i
5E
;
P
s
F
a
F
s
F
f
f
r
s
x
s
F
s
R
i
l
R
a
R
*
8
3
3
n
8
3
;
3
;
8
:
s
s
5
q
q
q
E
n
q
E
E
q
q
A
s
;
E
4
3
q
q
!
?
q
e
E
=
E
!
E
i
s
,
q
E
:
s
-
C
q
:
I
:i
r
:
a
d
d
N
;
;
;
;
;
-
;
;
-
;
-
-
;
@
a
;
;
d
-
;
;
*
d
;
;
d
d
d
=
9
9
:
=
=
=
=
3
!
!
!
=
M
1
:
=
=
:
:
:
9
9
9
9
9
!
:
=
:
=
=
=
=
9
X
d6
6
o
d
d
€
d
d
6
o
o
o
o
d
o
d
€
6
6
€
xr
i
!:EAts
i
IE8{r
'2'
-
Br
a1eE}
io
d
i
d
d
5
i
i
5
5
d
i
i
d
i
i
d
d
d
i
d
i
d
d
d
d
d
-
?q
?
q
-
q
q
?
?
q
r
n
q
q
q
q
e
q
a
c
q
Q
Q
-
q
?
i
9
r
t
q
?
q
i
r
o0
€
9
€
9
9
€
9
0€
9
€
9
4
O
9
€
0
0€
9
0
0
9
1q
6
?
6
1
q
1
6
q
q
q
.
6
6
.
.
q
q
q
6
6
q
.
.
.
6
6
6
5
.
5
5
q
6
'
a
'
6
o
3A
t
3
3
E
3
3
3
S
3
3
r
E
E
8
3
E
E
E
3
C
t
3
t
E
8
3
3
3
3
3
3
E
=
3
3
3
3
E
E
3
3
E
E
E
3
3
E
E
3
E
E
E
3
E
3
E
3
E
E
E
E
3
3
3
3
E
E
E
3
3
8
3
o6
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
6;
:
;
G
;
=
a
o
,
_
a
€
-
_
€
1
l
q
t
1
n
1
t
a
n
q
t
*
l
q
F
a
n
q
t
!
1
q
l
l
l
?
F
h
od
_
h
r
o
o
^
,
PS
!
9
9
i
a
I
?
i
n
9
?
n
r
9
9
e
n
9
:
l
a
:
:
a
a
9
:
l
a
:
:
i
a
9
:
n
:
9
:
n
:
9
a
n
i
9
:
n
a
9
:
n
a
I
:
n
t
9
:
n
a
9
:
l
a
!
a
n
!
9
:
a
30
0
.
3
34
3
0
0
:J
:
:
:
-
-
-
-
!
:-
:
:
j
i:
l
-
:
:
:
:
-
!!(J
AEr
E.
e
F!
O
35
of
2
0
l
5
5
5
;:
h
:
t
-
F
r
=
U
5
b
6
;
4
6
h
6
6
6
6
6
;
d
id
h
6
6
dd
d
r-
-
:
d
^d
d
dd
^
^
^^
N
d
dd
d
^{
i
d
^
d
d
^{
^
^
^
^
^
^
^
N
^
n
id
^
^
^
^
^
d
d
A
^d
d^
d
ii
i
t
\
i
i
i
t
i
i
i
i
f
ii
t
i
i
i
\
i
i
i
\
\
t
i
i
i
l
i
i
n9
t
?
l
l
i
q
l
!
l
c
i
n
i
q
l
!
i
q
n
!
i
tt
l
?
t
t
9
9
n
n
9
c
n
r
9
9
n
n
n
9
n
e
n
?
n
n
f
?t
a
9
?
t
n
n
?
n
n
t
?
n
a
9
-
n
n
9
:
t
9
t
i
n
:
9
a
f
l
:9
:
ne
i
n
r
t
t
9
n
n
t
r
n
r
n
n
n
a
r
n
n
e
a
e
n
n
n
t
n
n
P
r
n
n
n
n
n
a
r
n
l
n
n
a
a
l
a
:
T
a
a
a
a
a
:
a
a
:
a
1
o6
o
o
o
€a
€
6
€
c
c
qq
q
q
q
q
q
q
q
q
a
q
q
q
q
q
q
q
q
q
q
l
q
q
q
a
q
q
q
q
q
q
q
q
l
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
l
q
q
q
q
q
q
a
a
q
ai
t
t
i
t
t
i
t
i
i
i
i
i
i
i
t
r
i
q
t
i
t
\
t
t
t
i
i
i
i
l
i
i
r
i
t
t
i
i
i
i
i
\
r
r
i
l
t
t
t
t
t
t
\
\
t
t
t
i
33
3
8
3
3
3
3
3
3
8
3
3
3
3
8
t
8
8
e
8
3
E
E
3
8
8
e
E
3
8
8
E
E
8
3
8
t
8
8
3
3
8
3
3
8
3
8
3
3
3
3
3
3
8
8
8
3
E
3
-a
4
9
9
9
9
-€
I
n
l
9
q
-
i
n
n
n
l
q
i
q
a
-
!-
p
:iaz
ZE
::
i
3
i
i
3
!
:
:
=
=
{
F
E
.
r
f
i
f
tr
r
i
t
r
i
!UA
E.
!
"
.a
.2
-
O
^5
c
E
s
E
I
f
r
st
s
f
r
g3
3
e
*
=
n
3
3
=
66
6
6
d
d
d
d
-
d
-
d
d
d
d
d
:
=
9
?
=
=
=
=
3
3
I
3
a
n
a
r
=
1
1
1
3
,!&.
=r
+
-
r
F
!
X
;F
EI
-'
€
j
.;
"
i
-,
:
36
of
20
1
1C
1
P
-
i
a
a
!
?t
s
.
^
-
,
o
-
@
id
i
d
j
i
i
i
5
3
Ii
-
s
-
-
-
F
6
=
38
di
d
o
o
5
i
i
d
;h
-
o
i
1
1
n
dd
d
d
d
5
5
6
5
d
ii
d
d
d
d
d
d
d
d
--
:
i
=
=
!
9
L
l
I
6d
-
d
d
d
d
-
d
dd
;
6
d
d
r
d
;
i
e
S
.!
fi
i2
,a=1
38
3
e
8
3
3
3
3
3
dd
;
+
;
;
d
d
d
d
!E.
i
.3
.=
I
!
&[
r
c
4
di
l
{
i
l
{
i
l
A
a
n
n
Q,
ts
:
t
s
F
!
I
r
I
5
;
R
X
t
€
;
9
5
5
+
55
:
*
=
=
r
h
e
=
3
3
=
3
3
8
8
8
8
8e
3
3
3
3
t
8
E
E
E
8
e
E
E
A
3
3
E
99
s
s
9
9
8
9
9
9
9
9
9
9
9
9
9
9
9
55
5
;
6
:
r
*
r
6
;
;
€
6
;
d
;
;
;
ci
i
t
i
i
\
i
i
i
t
t
t
t
t
i
t
i
t
55
r
d
o
^l
n;
-
-
=
:
"
5
;
3
;
!
A
?
I9
a
t
9
?
n
n
9
9
n
9
9
9
n
a
r
?
In
n
9
9
9
:
9
t
t
9
9
9
9
I
n
n
n
11
!
!
9
9
i
?
q
q
q
:
n
n
1
1
9
9
t
i
E=
'E
c
-E
iF-c
.
+:
a+
}E
E
.i
"
i
.
-:
ef
?
e
e
!
*
r
r
?
q
?
€
a
*
c
Q
e
e
::
-
-
-
!t
t
t
n
a
n
n
t
n
n
n
n
t
n
n
l
n
n
38
8
8
8
3
8
8
E
8
8
8
3
3
3
3
8
E
8
8
I9
?
-
n
9
a
:
a
9
n
:
n
9
a
-
1
9
!
d-
d
d
n
r
d
&
-
r
€
-
-
6
t:
9
-
1
1
9
:
f
;
a
f
:
i
l
9
:
1
a
9
aa
a
n
a
n
a
n
t
:
a
1
:
n
a
n
t
a
a
ir
t
r
))
;
)
37
of
2
0
l
ii
i
\
t
i
i
i
i
i
i
i
t
t
i
i
\
i
i
i
i
i
i
t
t
\
E3
E
3
8
B
3
3
8
3
3
r
3
3
3
r
3
E
3
E
e
E
E
E
3
E
3
tq
9
a
9
-
l
a
i
i
n
a
-
r
a
t
-
t
?
1
l
1
6
q
t
l
I
sB
.!
t3n
:a!q'Ee{!2'
-='
ta
a
a
a
6
a
d
d
a
6
d
a
6
r
d
5
d
d
6
6
a
d
d
i
d
11
4
9
9
9
9
!
9
9
9
9
!
!
!
9
4
1
9
9
9
9
!
9
9
9
99
i
i
i
i
t
t
t
i
i
i
t
i
i
i
i
i
i
i
i
i
i
i
t
t
aQA
8.
5
8.
v
O
?e
9
r
n
i
a
:
e
9
n
q
c
9
n
q
i
1
:
q
9
n
9
q
9
n
9i
9
1
9
i
C
t
!
i
e
n
n
i
q
n
!
i
a
c
9
i
q
n
r
q
99
9
t
1
1
a
a
e
1
1
a
a
a
a
1
1
1
1
1
1
1
n
a
t
-
.
n
n
1
n
r
t
n
n
n
a
1
-
n
l
n
!
t
n
n
n
f
\
i
i
i
\
i
t
t
t
t
t
i
i
i
t
i
i
i
\
i
i
r
i
r
i
i
i
t
t
t
i
t
i
i
i
i
i
i
i
i
i
i
i
i
r
38
3
8
8
3
3
8
3
8
8
8
3
3
3
E
8
8
3
3
3
3
3
3
3
3
3
3
3
t
3
3
8
E
4
t
4
8
8
8
t
8
E
8
3
3
99
l
i
i
t
i
P
e
*
1
*
P
c
e
e
€
e
f
ee
a
e
q
e
r
c
q
e
q
q
e
f
P
r
a
q
q
e
?
?
q
e
P
r
r
99
9
9
9
9
9
9
n
!
n
!
9
9
9
!
!
!
!
9
9
9
!
n
9
9
q
9
9
9
!
!
9
9
9
9
9
!
!
9
9
9
9
9
9
9
F
Aa
d
d
r
+d
F
6
-
-
*
6
d
6
-
-
-
6
d
di
^
r
d
F
6
i
d
r
6
F
6
-
r
:
+6
-
d
i
;
9n
n
?
q
?
n
q
i
q
-
q
q
a
n
9
9
i
q
c
q
q
q
9
:
-
t
l
n
l
n
n
-
:
n
a
q
:
l
1
n
:
-
:
1
1
19
t
q
-
-
^
a
1
a
a
a
-
1a
1
a
n
9
n
n
!
!
9
q
9
9
9
9
9
9
9
€
9
q!
!
9
9
h
9
9
9
9
9€
9€
6
0
€
€o
o
a
s
€
E:
D
,
S
5
r
*
t
t
I
A
J
3
X
g
3
=
G
6
6
id
d
d
-
-
-
-
dd
d
d
9
9
9
9
=
=
=
=
!!
::
!
a
!
9
!
=
4A
L
C
A
L
q
T
4
A
T
4
A
A
C
A
&
4
&
A
A
A
4
&
t
A
A
A
t
A
A
&
A
A
A
A
A
&
A
A
A
A
A
A
A
A
19
:
n
a
n
:
i
a
a
:
s
a
n
i
n
:
9
:
i
a
9
:
n
l
l
a
n
l
a
i
n
1
9
-
!
:
I
i
t
a
9
-
a
1
9
An
J
J
n
n
n
J
n
n
d
n
n
n
d
n
n
n
;
n
d
d
&
n
n
d
a
r
a
a
&
a
a
e
a
a
n
a
a
a
38
of
2
0
l
=
EB
EA
i,
2
?iei8
nq
a
a
r
n
n
n
l
l
n
l
n
n
n
n
n
n
!
n
er
r
r
q
r
?
e
P
{
?
{
t
c
e
c
q
q
r
*
at
q
:
n
t
n
l
l
9
9
a
q
n
q
n
n
n
l
a
it
\
\
\
\
t
i
i
t
i
i
i
i
i
t
t
i
\
t
33
3
8
3
3
3
8
3
8
8
3
3
3
3
8
3
3
3
8
^^
d
i
i
n
d
d
d
d
Nd
N
^
d
!i
q
n
n
i
?
n
a
i
q
i
n
i
?
n
!
t
q
+
dd
d
d
d
d
6
6
d
d
d
d
qq
q
q
l
q
q
q
ais
.?
,
.=
U
d6
-
e
a
h
6
-F
.
N-
e
o
:
5
-
6
66
d
&d
&
4
&
a
a
a
r
4
[c
o
c
a
nf
?
i
n
r
?
i
a
:
9
:
a
:
9
.
a
a
?
-
te
r
r
:
r
a
t
n
n
r
e
r
n
l
a
t
t
n
a
c-
l
n
a
a
t
9
i
a
n
q
9
-
n
n
1
9
9
9
6G
U
6
6
6
6
6
G
6
6
6
?-
!
n
n
1
1
t
9
n
!
n
-
-
l
1
9
t
1
l
a
n
:
l
q
i
-
4
n
1
1
:
<p
{
!
p
*
*
r
r
r
*
*
*
*
*
x
*
x
x
r
=
=
=
=
x
=
r
*
r
xr
x
--
-
6
&
-
-
-
€
e
d
p
{
C
?
e
C
e
!
-
!
e
P
I
e
*
e
?
q
a
q
-
f
e
ii
a
-
-
L
i
i
-
q
q
n
l
t
a
l
n
n
a
a
n
l
l
l
a
a
l
n
n
n
n
n
n
a
n
n
l
l
a
n
n
!
a
a
a
a
a
a
n
n
l
l
53
o
3
o
.
5
d
d
i
d
o
d
3
o
5
5
5
d
3
.
c
i
5
.
o
-
5
5
i
5
d
i
3
e*
s
5
5
5
5
8
5
5
5
S
8
3
5
5
5
5
5
5
S
8
8
8
8
5
s
S
5
8
5
5
s
5
S
5
5
8
X
5
5
5
5
8
5
5
8
8
8
s
8
E
id
d
d
d
d
d
d
a
c
a
c
a
a
.
o
o
d
a
o
a
a
a
3
o
r
F
F
E
F
r
r
r
r
r
r
r
F
F
F
r
r
r
F
r
r
r
F
F
F
r
r
r
r
r
F
r
r
r
I
I
I
F
e
r
e
F
e
r.
r
r.
r
I
I
3
E
e
ln
A
n
h
l
l
l
l
l
&
d
h
n
n
d
n
^
a
d
-
d
d
d
N
33
3
8
3
E
3
E
3
3
3
3
3
3
E
3
8
3
3
3
3
3
3
E
3
8
8
3
8
3
3
E
3
3
E
;;
;
a
;
;
;
;
d
G
o
€
d
o
€
6
o
o
o
d
J
6
€
o
€
€o
@
€
d
>t
:8
38
3
8
8
8
8
8
8
8
8
E
E
E
3
3
r
a
;
E
q
E
I
3
3
3
3
3
q
6
6
;
q
i
?
E
3
3
3
n
6
i
E
6
E
E
S
S
3
3
?
A
3
q
q
6
E
4.
3
i
3
3
q
A
6
i
q
i
i
Nd
d
d
d
ii
=
F
F
q
€
E
E
6
B
A
I
E
E
5
-
E
n
n
F
R
A
q
a
q
q
!
S
E
E
E
F
q
n
q
q
q
q
G
I
t
a
E
E
!
3
i
E
5
E
i
d-
F
6
r
6
6
d
d
i
€
;
d
6
a
j
€
5
r
O
O
N
-
-
@
6-
a
-
-
-
-
e
d
F
!-
-
-
-
-
-
-
-
-
-
-
-
a
-
-
6
&
-
6
-
-
-
-
-
-
-
-
-
-
-
-
6
-
@
;d
&
&
5
d
d
d
d
5
6
o
5
t
55
6
1
6
6
-
-
-
5
5
ii
-
&
&
-
-
-
-
6
&
-
&
-
6
t
6
-
-
-
-
-
-
-
-
-
-
-
€
@
Ad
d
d
A
d-
-
A
d
d
d
d
d
d
AN
f
:6
G
;
:
-
6
a
a
t
s
i
d
d
b
+
:
-
6
-
c
F
6
d
6
F
+
=
+i
i
+
;
+
+
+
+
+
+
+
+
+
+
+
+
;
+
+
+
+
+
r
r
+
+
+
+
+
n6
-
o
6
t
6
r
N
-
d6
6
F
n
d
o
-
-
F
i
+6
a
r
a
-a
o
-
d
-
-
!
6
OF
-
5
+
bb
b
b
b
b
6
6
6
0
6
a
G
o
o
6
0
6
G
o
o
o
6
0
0
0a
o
o
€
F
F
r
r
F
a
?
rr
e
!
=.
e
=
e
=r
:
5
SS
e
3
rf
f
5
I
AA
3
=S
E
?
I
3
$
=F
;
3
=P
;
3
:
E
G
E:
5
G
E
=
AE
S
E
E
d
E
E
E
E
E
d
d
E
E
E
C
E
E
E
E
E
E
E
E
E
E
E
C
C
L
A
d
T
A
A
A
T
A
T
A
A
I
A
A
A
!
A
A
O
ii
i
i
a
i
i
n
a
a
i
e
-
n
a
e
a
n
a
e
a
c
.
a
?
|
i
a
?
r
-
n
e
n
.
n
Q
n
n
e
?
r
a
n
e
n
n
e
Q
B
a
n
lt
n
n
n
n
n
n
n
t
t
n
n
a
a
n
n
n
a
a
n
s
n
n
n
t
t
n
e
n
t
n
n
r
f
ll
n
n
l
t
n
i
l
n
i
a
a
a
n
n
n
39
of
2
0
l
!;
5
.!
-
r
=az2
E3€e€!8:
!QAYu
9EA.
e
a:
'E
=U
od
@
€
€
o
€
o
o
d
o
€
c
€
o
o
6
6
6
1-
-
Q
t
n
1
1
-
n
n
t
n
n
i
n
-
n
-
q
-
-
-
a
i
a
l
:
a
i
1
!
n
n
-
-
1
n
n
t
-
t
t
-
n
n
a
!
n
l
:
t
9
n
r
-
?
-
6o
@
€
€
€
€
d
a
o
o
o
6
o
@
1n
9
n
9
n
9
9
!
n
9
!
9
9
9
!
!
!
9
r
9
9
!
n
r
q
t
!
q
!
!
a
n
n
n
t
t
!
9
!
9
9
!
r
!
n
9
n
9
9
9
n
1
9
9
9
1
9
5
Sd
o
d
d
d
o
d
o
d
i
i
i
i
S
i
o
s
i
i
5
i
d
d
ji
i
a
d
d
iS
d
i
i
d
d
i
i
d
d
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
a
q
q
q
l
q
q
q
q
q
q
q
q
q
q
a
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
ii
i
i
\
i
t
t
i
i
i
i
i
i
\
i
i
i
t
\
i
i
t
r
r
i
r
t
i
\
i
i
r
i
r
i
\
i
i
i
i
\
i
i
\
i
i
\
i
c
i
r
\
i
\
i
r
i
3E
E
E
3
E
3
8
3
8
E
8
E
3
3
E
E
E
E
3
E
E
E
3
E
3
E
3
3
E
3
3
3
3
3
3
3
3
3
3
8
3
E
E
3
E
3
3
E
3
E
E
3
E
E
E
E
8
AA
A
A
T
A
A
A
A
T
A
A
A
A
I
A
O
O
T
4
4
q
A
O
A
A
T
q
T
A
E
A
T
O
A
O
A
T
O
O
4
A
A
A
A
T
T
T
A
A
T
A
A
A
A
I
A
d
n:
Q
-
!
l
9
3
n
9
9
S
n
?
Q
n
n
n
l
n
n
9
Q
n
i
9
?
n
a
t
9
a
e
9
?
n
*
9
Q
c
9
9
?
n
n
9
9
n
a
n
Q
i
*
3
9
c
r
9
:!
a
:
:
:
1
4
:
l
r
:
a
i
a
a
a
a
l
a
a
n
a
a
a
l
i
l
t
a
a
a
:
1
9
9
r
9
9
?
?
:
9
r
n
r
r
9
9
?
n
9
9
9
9
9
9
9
hs
€
€
o
€o
F
F
F
,c
d
r
6
;R
E
s
;
8
3
3
a
8
3
;
s
;
8
;
3
s
5
q
q
a
5
c
q
3
E
l
q
a
a
n
6
*
4
q
e
q
i
E
q
S
i
S
s
E
l
E
q
E
l
E
s
E
i
E
s
q
6d
6
6
6
6
d
d
d
d
d
-
d
d
d
d
d
d
=
9
=
=
=
=
=
=
s
a
!
!
!
:
!
!
l
=
=
:
!
:
:
!
9
9
9
9
!
:
:
.
!
3
=
=
=
3
9
:
9
40
of
2
0
l
FE
l
!n=a
il
2
a
n-
^
^
-
4?
=
r
t
r
?
r
?
?
=
=
?
?
a
=
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
3
3
8
8
3
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
El
d
^
N
^
'1
^
^
^
^
.d
?
:
:
=
?
:
?
?
?
i
?
?
=
i
r
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
3
3
8
8
3
8
8
3
3
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
El
d
d
d
N
f=
.
:
=
e
r
5
=
-
8
S
F
3
;
t
;
-
e
8
A
R
$
A
9
S
$
R
3
3
a
3
F
G
;
S
S
R
:
3
3
$
F
G
G
!
;
*
:
3
X
S
F
€
8
{
i
{
=
5
4
{
(
q
s
i
n
n
j^
;
-
;
;
=
!
:
e
=
e
i
t
s
i
R
;
;
g
e
r
?
$
s
*
+
B
f
f
fr
f
r
hs
;
i
E
G
g
F
F
F
F
F
a
s
c
E
g
a
;
i
t
E
e
-
E
E
E
3
=
:
:
:
=
E
!
I
;
d
d
d
6
6
h
d
d
6
d
;
;
6
,
^
6
h
d
6
d
6
d
6
6
6
d6
d
do
6
6
d
6
;
6d
6
-
6
;d
h
d
6
66
6
d6
6
6
6
6
6
a
;
1t
9
i
q
9
-
i
1
9
<
q
a
q
-
n
9
9
i
i
i
i
r
9
i
i
i
i
i
i
{
q
q
q
t
r
a
a
!
nQ
l
n
n
i
n
-
9
r
i
a
i
n
9
-
i
a
q
9
q
n
{
n
?
!
Q
a
?
n
9
q
l
l
9
q
a
9
t
a
a
e
q
1
9
t
q
q
q
Q
l
9
?
1
i
e
*
q
-
a
i
q
?
c
n
q
€
3F
6
A
^
Oo
F
-
€
:9
-
i
t
l
t
9
n
l
i
l
i
n
!
a
9
!
a
:
i
9
q
t
i
q
!
i
{
9
t
n
t
n
1
i
9
9
:
a
e
1
1
-
a
n
a
t
n
-
1
1
9
q
a
9
9
?
n
q
q
1
?
-
9
-
q
-s
o
t
r
9
r
-
-
3
:
n-
9
n
n
t
q
9
n
P
n
i
q
l
t
q
-
n
9
9
€
q
-
i
t
1
9
9
I
q
?
:
n
n
!
9
{
q
c
l
n
n
9
9
t
n
q
-
-
i
n
n
a
!
!
9
9
t
e
e
q
q
-
t
l
t
l
-e
6
e
-
d
-
-
-
€
6
-
t9
n
9
q
-
n
n
i
q
Q
l
a
!
i
t
?
f
q9
q
:
-
q
t
q
i
a
-!
l
9
n
f
it
i
i
i
e
e
e
q
q
q
q
c
{
q
?
-
Q
{
q
-
q
q
n
q
?
?
?
?
Q
q
-
a
-
1
n
l
a
a
a
n
1
:
1
1
1
9
!
9
9
9
9
t
i
i
?
1
q
q
9
3
i!
r
9
9
n
1
1
a
n
:
r
n
-
q
9
e
c
9
9
r
i
9
r
r
q
i
9
9
9
n
1
1
t
n
1
:
:
i
i
r
i
-
?
:
:
:
q
?
q
q
q
*
t
q
e
{
\
i
a
€
i
9
9
9
9
!
--
-
9
-
d6
d
:
:
:
9
I
M
=
=
=
=
=
=
=
=
=
=
=
=
=
3
=
!
=
!
=
S
9
1
1
9
a
9
9
9
9
9
9
a
9
9
2
a
9
a
3
1
3
9
9
9
9
9
9
3
9
9
9
a
9
a
a
a
rr
E
8
5
8
r
E
8
t
t
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
E
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
d
d
d
d
d
o
o
d
d
i
3
c
a
d
i
o
i
i
i
5
i
i
5
o
d
5
.
o
o
o
5
i
3
d
o
o
o
d
i
d
i
o
3
d
5
.
i
od
-
o
o
oo
d
5
5
t9A
i.
r
8.
9
-9
.=
QO,eE)
€€
a
€
o
€
o
i?
l
l
?
Y
?
?
?
?
?
?
?
?
?
?
?
?
?
?
"
?
?
?
?
?
?
?
9
?
"
?
?
?
?
?
?
?
?
9
q
9
9
9
?
?
9
?
?
?
?
?
?
?
?
?
9
?
?
?
?
?
?
?
?
?
?
;o
o
^
€
o€
€
o
o
o
€
€
o
o
G
o
o
o
€
o
o
o
o
o
€
o
o
6
6
0
0
G
o
6
0
0
€
@
o
o
G
d?
?
;
l
r
q
.
t
T
a
a
i
,
f
f
a
a
a
a
a
q
t
q
q
q
q
a
f
n
a
q
t
l
a
a
?
a
q
q
r
a
?
+
r
a
+
a
q
+
a
a
a
q
a
+
+
a
1
f
+
+
f
r
r
r
r
a
a
aa
5
d
5
6.
b
;
;
d
i
l
d
d
;
;
5
i
5
i
ri
:
l
i
i
n
n;
;
-'
;
+;
+
+
6
;
d6
;
o
b
€
F
r
i
F
&
i
d
6
6
6
d
d
d
d
o
o
:
r:
:
i
n
i
d
ll
l
l
n
l
l
l
n
n
n
l
l
f
;
In
n
n
t
a
t
n
t
r
n
n
n
n
n
n
n
n
n
a
a
n
n
a
a
t
i
t
t
r
n
a
n
i
n
n
a
r
r
r
n
a
:
l
a
t
a
a
a
a
a
a
n
4l
of
2
0
l
€o
6
-
-
o
6
-
o
-
dj
;
;
;
d
5
d
,
6
6-
5
d
;
v.
r
d
-
d
+d
€
d
d
+
o
r
o
:
;
6
r
.
6r
e
t
,
60
6
:
F
nt
r
a
?
t
n
q
n
l
r
-
4
9
!
9
n
n
-
-
-
i
q
i
a
q
c
9
!
n
-
?
1
-
?
a
i
f
n!
n
n
1
!
n
:
-
?
Q
n
q
1
r
9
r
9
*
n
(|
i
1
P
q
n
P
q
1
-.
-
q
-
-
a
?
r
9
q
i
!
?
-
?
r
r
9
a
i
I
t
e
e
I
q
c.
q
??
?
e
?
?
?
?
?
?
?
9
?
?
?
"
?
?
?
?
?
?
?
i
?
?
?
9
i
??
?
?
?
?
?
?
?
?
?
?
?
?
?
"
c
?
c
c
?
d5
i
-
-
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
^
d
d
d
n
N
d
^
d
d
d
d
d
n
^
N
^
^
A
d
N
A
n
A
d
a
A
^
^
€E
E
E
E
E
E
E
E
E
€
E
E
€
3
8
8
5
5
8
5
:
5
E
E
E
5
5
8
5
5
5
E
E
E
E
E
E
E
S
E
€
5
8
€
E
€
8
8
i;
EE-
!
3n
:$f;
i
!taI
83
3
3
3
3
3
3
3
8
3
3
8
3
t
3
8
8
8
8
8
3
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
3
3
8
8
-
&
*
-
d
,
d
-
d
d
-
*
d
d
€
-;
d
-
-
-
&
e
&
t
-
F
d
-
dd
d
-
-
d
i
-
-
-
-
-
-
dd
E8
8
8
8
8
8
A
8
8
3
E
3
8
3
3
8
3
3
3
3
3
3
3
3
3
8
8
E
8
t
3
4
E
3
3
8
8
3
3
3
8
8
8
3
3
3
8
8
!9
!
\
9
e
q
q
i
-
q
n
a
q
a
1
1
4
1
1
1
1
1
1
1
1
1
1
-a
5
a
a
5
o
5
o
o
3
a
3
o
o
o
o
i
.
-
?
6+
i
6
r
-
-
-
6
5
6
6
5
6
6
99
\
i
-
e
!
t
!
9
t
t
-
-
1
!
e
i
q
a
r
a
l
q
a
n
n
-
q
c
q
-
a
!
9
t
9
f
9c
?
i
9
9
9
i
9
9
1
c6
a
=
9
s
9
!
s
=
=
=
3
=
=
=
=
!
=
=
1
9
9
9
1
9
1
9
9
X
9
3
1
1
9
1
1
1
1
1
1
9
9
9
1
1
1
1
1
aOE
_a
.z
.?
(J
E-6
a
o
-
6
4
.
d
-
3N
-
h
C
FF
;
;
;
&
d
d
d
d
d
a
b
ir
:
:
r
i
i
i
N
i
n6
6
n
r
+
+
f
r
n-
d
e
.
b
o
o
s
r
t
;
&
&
&
96
6
9
9
n
9
9
n
n
r
r
9
n
n
"
I
I
e
"
?
?
I
?
?
q
I
I
?
?
?
q
?
I
I
3
3
?
i
?
?
C
C
?
?
s
t
n
r
6
6
d
h;
;
6
d
d
d
6
6
6
d
6
h
;
;
h
h
6
d
d
d
r
'
6
6-
-
-
-
-
-
-
e
-
-?
q
e
i
q
n
a
r
l
-
q
3E
E
E
E
8
8
E
E
8
E
8
3E
3
E
3
3
3
3
E
t
3
8
9!
n
a
a
l
l
a
a
l
a
a
!!
a
a
n
n
a
a
n
n
n
n
dd
d
d
d
6
d
d
d
d
d
d
58
3
3
8
5
8
8
5
5
€
5
lt
n
t
n
a
a
r
n
n
n
i
??
e
-
-
-
n
n
a
a
n
a
19
n
!
i
i
!
i
:
!
-
9
YY
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
dd
d
d
d
d
d
d
d
d
d
d
qq
q
q
q
q
q
q
q
c
q
q
;;
;
;
;
;
+
+
6
6
6
6
at
:
:
t
t
a
:
t
l
a
a
t
42
of
20
1
-i
A
;
6
d
d
j
d
;
F
6
d
d
r
o
d
d
d
r
6
r
o
i
-
+d
r
-
N
,
6
F
i
j
d
h
r
EE
E
E
E
3
E
3
3
E
E
E
E
3
E
3
E
3
8
E
E
8
E
8
8
3
3
3
3
3
3
3
3
3
t
3
3
A
E
3
E
E
3
3
oa
i
a
a
5
o
o
c
a
--
j
j
d
d
dd
d
d
d
d
d
--
9
9
9
9
i
i
9
n
i
l
a
l
:
e
9
t
-
-
-
q
q
9
a
?
9
t
1
t
q
-
a
a
r
9
a
-
n
9
a
n
a
ln
i
t
t
t
l
n
l
n
n
n
n
t
n
n
f
nn
i
n
n
l
n
l
l
l
n
t
n
n
n
t
l
t
l
l
n
n
q
n
n
t
i
i
?
?
i
i
?
?
i
i
i
?
i
i
?
i
?
?
i
i
i
?
?
ii
?i
?
i
i
i
i
?
?
i
c
?
?
?
i
i
?
s
33
E
E
E
E
E
E
3
3
3
E
3
E
3
3
E
E
E
E
E
E
E
E
E
8
E
t
E
I
E
3
3
3
E
3
3
3
8
33
3
3
,
rr
r
t
d
;
;
d
;
;
;
;
i
qq
q
q
q
q
q
q
q
q
?
-
:
-
l
n
l
n
a
dd
d
d
d
i
i
d
i
i
d
na
?
:
n
:
?
:
t
a
?
:
I
i
9
:
n
:
Q
:
n
n
Q
:
a
a
?
:
!
a
?
:
a
a
9
:
t
I
9
a
n
t
?
:a
:
:
-
i
:
.
:
:
:
i
:
i
s
n
a
a
l
t
n
a
t
a
l
n
a
t
l
n
n
n
a
n
n
n
n
n
n
n
t
n
n
!s2Z
t{q8:aQAYu
!E3.
2
<!EE
(.
)
9t
q
q
-
n
n
a
r
1
1
1
:
?
a
{
q
q
9
n
r
9
!
1
1
.
1
i
-
?
q
q
9
I
q
q
t
t
e
q
9
i
i
€s
€
o
€
e
o
6
ln
l
n
i
q
t
t
l
n
n
l
l
n
t
a
l
n
n
l
n
n
l
n
l
l
n
l
n
t
n
l
l
l
t
l
n
n
n
q
n
a
a
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
s
9
9
I
1
f
f
a
I
a
a
I
I
q
q
a
$
tr
I
f
i
i
tr
I
q
tr
l|
1
a
f
i
a
a
a
I
f
.l
q.
s,
I
q
a
i
i
q
6,
,
5E
E
E
E
5
E
E
E
5
E
5
5
E
8
5
€
8
8
8
8
8
3
8
5
5
5
5
5
€
€
E
E
E
€
E
5
E
E
E
E
5
S
jd
+
6
*
d
d
r
6
d
d
j
;
6
d
6
-
d
d
r
-
3
d
+
€
*
i
d
+
3E
3
3
3
E
8
E
E
8
8
E
E
E
E
3
E
E
E
3
3
3
E
E
E
E
E
3
3
3E
8
8
8
3
3
3
3
8
3
3
3
3
3
3
3
3
3
3
3
3
3
3
8
8
E
E
8
an
-
-
q
i
i
-
-
9
q
9
-
i
1
t
n
!
i
n
t
:
-
Q
?
?
?
?
?
e9
!
1
9
\
i
9
a
a
q
q
-
l
a
a
-
f
9a
q
!
9
c
i
9
a
-
9
;d
d
d
6
ad
6
-
N
d
F
;
N
1!
!
!
9
9
9
t
q
i
q
i
€
9
9
9
!
1
1
(
L
e
e
q
i
9
n
1
nq
n
l
n
l
l
t
t
t
n
n
l
n
f
n
n
l
n
i
i
l
i
t
t
i
l
l
l
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
ee
e
e
e
e
e
r
r
r
e
e
e
e
e
e
s
E
8
s
S
g
t
g
g
g
S
g
g
6-
h
a
h
nd
d
;
;
i
.
.
o
r
:
:
:
i
d
d
i
l
;
;
;
;
+
+
;
*
6
6
;
43
of
20
1
6;
A
-
d
-
r
6
+
-
-
a
6
F
€
88
3
8
t
3
3
3
3
3
8
8
8
3
3
3
t
8
E
=
8
3
8
8
8
8
3
3
3
E
t
3
t
3
3
8
3
EA3i
e{E
;e?a
tt
EE
-
S
S
E
A
E
i
E
E
E
E
S
S
A
S
S
A
E
E
E
E
A
E
S
E
E
A
A
E
E
S
E
A
E
E
3E
E
3
r
E
E
8
E
3
E
3
E
E
3
E
E
r
3
E
3
E
3
E
E
E
E
8
3
3
8
3
r
3
3
3
a
d6
6
d
o
a€
i
i
*
P
!
*
f
?e
e
a
i
l
f
i
i
t
9
9
9
9
!
9
9
9
!
n
l
a
n
l
n
n
:
:
Pe
e
i
\
i
9
.
88
8
8
8
8
8
8
88
8
8
e
8
e
8
8
8
-c
c
c
Q
q
Q
-
-
-
?
q
i
9
9
a
a
1
1
qc
9
a
n
:
q
r
t
l
i
i
-
9
q
\
1
1
-
q
q
Q
6
e
9
a
q
1
1
a
l
-
r
9
9
n
a
G6
b
b
G
G
6
6
a
G
5
€
G
6
0
€€
O
O
€
O
o
O
A
€
6-
F
-
d
d
-
6
4
-
d
^
d
-
d
99
i
i
?
q
q
:
n
n
n
n
9
t
{
e
q
q
a
q
q
c
:
-
l
l
l
a
a
a
!
9
9
i
P
e
1
66
5
d
d
sF
5
8
5
5
5
5
5
8
S
h
S
5
5
5
5
5
5
S
5
5
5
5
5
5
5
5
S
5
5
5
5
5
H
8
h
o-
o
d
o
o
d
d
o
o
io
5
-
5
o
d
o
d
i
i
.
io
o
o
d
i
5
S
i
i
i
5
a
d
i
Nj
3
d
-
d
d
j
5
d
i
d
d
^
-
.
€
3
d
r
+
;
j
a
€
no
@
3
;
d
6
FUdEE
8.
9
LE=!
.9
:
.:
rd
(J
66
G
6
6
b
€
€
G
6
6-
-
6
-
^^
d
d
d
n
n
n
n
n
l
n
l
t
n
n
l
t
t
n
n
l
i
n
l
n
n
l
l
n
n
n
n
i
l
n
l
"a
?
a
e
?
9
e
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
"
c
?
?
?
?
?
9
9
?
?
?
?
?
Sb
G
6
o
G
G
G
G
G
G
6
6
O
€
O
€
€
o
O
dd
N
n
n
n
n
d
d
d
N
d
d
d
d
N
d
d
d
d
d
o
a
o
a
d
d
d
d
N
d
d
d
i
i
i
^
s8
3
s
s
s
s
s
8
s
3
8
8
8
8
8
8
r
8
8
3
8
8
8
8
8
8
8
8
8
8
8
t
8
8
8
8
a-
a
a
a
;
a
a
a
i
d
d
d
d
d
o
i
i
i
d
d
d
d
d
d
d
d
d
d
d
d
d
-
o
d
d
d
--
a
R
^
i
^
a
d
d
8=3
3i
q
q
8
€
E
3
!
-
5
E
i
e
!
q
n
:
E
4
i
a
f
rR
E
a
a
q
q
s
R
:
!
a
33
3
3
3
3
3
3
8
3
3
E
3
3
3
E
E
8
E
E
E
E
S
E
3
E
E
E
E
E
A
E
3
3
3
JJ
6
d
d
38
3
8
8
8
8
8
8
8
3
8
8
3
3
E
8
E
8
3
8
E
E
3
E
E
3
3
8
8
3
3
8
3
3
sE
E
E
E
?
E
3
3
E
a
A
a
a
A
E
E
E
3
3
3
a
E
3
8
3
E
A
-
a
A
e
A
E
;
nl
a
a
i
n
Q
q
e
9
n
!
9
9
9
i
i
\
i
9
q
1
-
a
1
9
i
q
?
l
1
n
l
r
9
dd
d
d
s
0a
?
c
3
-6
F
1
-
q
a
a
q
q
r
9
l
a
a
a
e
-
9
q
q
q
q
q
t
9
n
i
q
q
e
i
9
!
l
il
F
F
F
F
F
F
T
F
F
F
F
F
F
F
F
F
F
F
S
il
n
-
^
A
d
&
-
A
N
i9
q
i
q
t
Q
a
n
n
?
?
:
t
q
-
1
9
i
-
l
t
q
a
q
q
e
l
i
-
t
q
q
n
9
6d
-
6
-
d+
n
n
N
n
N
n
n
n
n
n
l
n
n
n
n
l
t
t
t
l
n
l
n
i
n
l
l
l
l
n
n
n
--
-
R
-
^
-
-
-
-
8S
s
5
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
id
c
i
o
S
a
d
d
o
o
3
S
=
i
o
o
-
o
5
5
5
o
o
o
i
d
i
3
o
o
o
.
3
5
-h
9
a
9
i
r
i
q
e
i
i
i
r
\
t
!
!
i
{
i
9
q
i
9
i
t
t
q
AA
-
N
d
66
U
6
4
FF
F
F
a
d
t
s
r
F
d
t
s
-
-
n
F
F€
s
o
€
€
€
e
€
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
€
9
9
9
9
9
9
€
9
9
9
€
9
9
9
--
S
c
d
d
d
o
d
i
d
d
d
o
o
5
o
s
s
o
c
c
a
i
i
d
.
-
3
c
a
o
i
-6
6
.
-
6
h
6
N
-
6
6
d
-
6
il
d
d
;
&
d
.
d
6
a
d
o
o
c
o
r
:
r
:
i
i
n
i
n
;
-
a
+
'
;
;
;
f
r
nn
t
t
$
n
s
n
n
n
n
n
r
a
a
n
n
r
a
n
P
9
l
a
!
a
n
a
n
r
r
n
n
44
of
20
1
E
s
!
!e:+s;
9l
n
n
l
I
n
l
I
n
-
q
?
q
q
q
q
t
!
1
!
!
9
9
!
9
1
1
1
9
9
€E
8
2
5
5
5
6
5
;
5
6
6
6
5
i
6
E
E
U
E
e9
9
e
n
?
q
t
9
1
a
:
?
e
i
9
a
n
-
a
e
9
9
e
n
C
q
i
9
l
n
A3
E
t
A
E
E
E
E
E
E
3
3
E
8
3
E
3
3
3
E
E
3
3
3
E
E
E
3
E
3
3E
8
8
E
E
E
E
8
E
8
3
C
E
3
E
E
3
3
3
E
E
8
E
3
3
3
3
3
3
3
3
==
=
=
=
9
=
=
=
=
=
:
=
9
=
3
=
C
=
=
=
:
=
=
3
=
=
=
=
=
=
=
9!
e
q
q
q
:
l
-
q
l
t
q
q
q
l
I
?
:
:
q
-
n
a
a
a
1
9
9
9
?
noa
:.
i
.3
.2
_
(JIH8{i8=
;e-z
a
tn
In
n
n
l
i
t
n
i
l
n
n
c
e
n
i
n
t
l
l
n
l
l
t
t
l
t
n
n
l
l
??
?
?
?
?
?
?
?
?
9
?
9
?
?
?
C
?
?
?
?
?
?
?
?
?
?
?
?
e
?
dN
d
d
d
d
d
d
n
d
d
d
d
d
d
d
d
d
d
d
d
d
d
N
d
d
d
N
N
N
d
ob
b
l
i
i
l
i
-n
-
&
;
5
d
r
"
8
8
3
=
=
-
;
S
5
5
3
3
3
e
5
3
al
r
t
n
:
n
:
?
q
1
a
Q
{
r
{
r
e
q
q
t
t
t
e
q
e
t
9
!
n
l
38
3
3
8
8
E
3
8
3
8
3
8
3
3
3
3
8
3
3
3
3
3
3
3
3
3
3
3
E
E
3
3
8
E
3
E
8
E
3
3
3E
3
E
8
E
E
3
8
3
E
8
8
3
3
3
3
8
8
3
3
3
3
3
3
3
3
3
8
8
8
3
3
3
E
3
E
8
8
3
3
=
3
=
e
1=
=
=
2
2
=
I
=
=
=
=
3
3
=
=
3
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
6
d
c.
6
6
d
6
d
d
6
6
6
;
6
6
6
6
6
h
6
b
6
6
6
6
h
6
6
6
6
6
6
d
h
il
n
l
a
r
!
!
9
9
i
e
q
!
:
q
?
?
a
e
q
q
q
q
n
n
r
q
q
a
q
e
i
l
9
9
9
9
9
ag
*
;
I
I
*
J
*
*
*
;
;
*
C
3
8
E
3
3
S
A
8
S
S
g
*
*
*
3
*
g
*
S
*
A
t
*
*
t
\
|
9
9
9
9
q
C
q
I
q
I
q
e
e
1
9
q
q
?
q
?
-
-
?-
-
-
-
-
-
-
.
n
i
|
-
1
a
l
a
a
l
1
nl
n
n
-
:
-
l
i
l
r
l
n
l
n
-
?
l
t
l
n
n
n
n
n
t
n
n
n
l
n
l
l
i
a
-
a
q
t
i
:
na
n
9
e
?
Q
a
5
?
-
n
a
r
1
\
\
q
9
9
1
n
:
q
n
q
q
q
q
q
q
q
q
t
q
t
!
1
n
a
a
;d
o
o
N
i
6
i
n
a
d
t
^
r
6
r
i
r
-r
{
v
i
d6
i
j5
-
j
+
6
6
d
o
*
d
j
d
o
d
a
?
-
-
n
n
a
n
I
9
9
i
t
{
{
n
i
-
q
-
--
_
-
-
.
-
_
:
I
I
n
a
a
a
a
a
a
n
I
I
I
t
€
??
?
?
?
?
?
?
?
?
"
?
?
?
?
?
;
9
Q
?
?
?
?
?
?
9
?
?
?
?
?
?
?
l
?
?
?
?
?
?
?
d
^
d
^
^
nN
^
n
^
N
n
d
n
^
^
N
n
d
N
^d
^
N
^d
^
N
d
d
Es
E
F
a
P
x
s
e
a
e
x
P
s
E
*
8
8
8
8
3
8
8
t
8
5
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
22
2
2
2
Z
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
Z
2
2
2
2
2
2
2
2
>
2
;
aa
a
G
F
F
F
r
&
&
&
*
5
d
d
d
A
d
5
5
i
r
r
:
i
n
n
n
;
'
-
-
-
+
+
r
+
h
6
6
6
45
of
2
0
l
.^
n
o
i
--
d
+
6
F
6
-
d
6
8E
3
8
3
3
3
E
E
8
E
3
E
3
E
3
3
E
E
E
8
E
E
E
E
E3
3
E
E
E
8
E
E
E
E
3
E
E
3
E
E
3
8
3
3
3
3
3
E
I
eX
!-
FZE
?
,e2A
1r
9
9
9
e
q
?
-
r
a
!
9
9
i
t
t
t
l
q
a
q
?
a
n
q
tq
n
!
q
q
q
a
9
q
-
i
d
??
a
R
3
8
8
8
R
8
8
8
?q
q
q
q
i
9
a
9
9
q
i
9
!
!
!
9
i
i
9
!
!
!
9
e
r@
o
9
9
al
t
9
t
e
q
q
q
-
n
n
l
i
-
-
:
-
-
q
q
q
q
q
q
9{
n
<
F
!
9
9
a
9
9
9
*
{
q
q
9
9
!
a
!
9
9
9
9
n
88
8
5
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
3
8
8
8
8
oi
o
o
o
S
S
o
o
o
o
S
S
S
d
a
d
d
d
d
d
d
o
o
d
-i
l
n
q
t
l
q
q
q
t
*
n
n
9
9
!
i
n
i
n
a
-
-
n
an
n
o
r
d
d
N
d
^
r
e
d
a
a
d
N
d
d
d
d
d
d
d
d
!(.
)
A
!Eoc
_a8.
9
.:
H
(J
n:
?
.
n
9
I
i
a
:
t
c
i
n:
?
it
a
Q
:
n
a
9
:
9
-
-
-
-
-
-
-
-
-.
-
.
:
a
i
i
I
n
n
e
q
n
n
s
n
n
I
19
9
a
n
n
a
9
!
9
1
n
q
e
-
q
q
\
!
a
n
a
n
l
l
?
n
?
r
e
t
9
a
1
-
t
n
?
-
?
9
!
1
9
9
9
9
5C
3
a
C
3
0
0
0
?
C
=
O
a
o
:9
?
i
t
a
l
:
q
Q
9
!
n
n
q
q
i
9
!
a
n
?
{
i
l
a
n
-
c
r
9
!
n
a
l
q
t
9
a
a
:
?
*
t
!
a
n
88
3
3
3
3
3
3
3
8
3
8
3
3
3
3
8
E
E
3
8
8
3
8
8
3
8
8
8
8
3
3
8
8
8
3
3
8
3
3
3
3
3
3
3
3
8
3E
3
3
E
E
3
3
E
E
E
E
E
E
E
E
E
3
E
3
E
E
3
3
3
8
3
3
3
3
8
3
3
3
3
E
3
E
3
3
3
E
3
E
E
E
3
??
q
*
?
I
a
q
q
e
e
e
@
a
e
f
te
e
t
*
*
q
q
e
{
r
e
a
q
{
e
€
4
"
!
e
q
e
a
?
T
p
a
?
Q
e
!n
q
9
I
i
n
n
l
:
q
q
q
q
q
q
q
?
:
-
n
n
n
n
n
t
a
n
n
n
i
n
n
a
n
a
n
n
n
l
l
9
!
n
9
9
!
li
a
n
a
a
n
-
q
i
1
a
-
-
n
n
n
a
9
i
c
€
t
9
a
a
1
9
r
a
1
a
t
1
!
9
q
t
?
q
q
q
q
q
e
t
i
aa
1
9
9
9
9
i
i
i
l
t
9
t
i
i
9
q
q
q
q
a
"
q
?
9
Q
-
-
-
n
c
n
n
l
n
a
l
n
!
!
9
9
1
a
n
a
1{
a
9
9
q
9
!
-
-
n
1
-
q
q
n
Q
t
q
9
a
a
l
q
n
9
P
q
i
q
a
l
!
q
t
i
:
1
9
e
i
9
e
!
-
e
!
a9
a
n
a
1
!
!
1
l
l
t
a
9
9
e
9
e
q
q
q
q
-
l
t
a
n
n
n
n
t
q
-
r
n
?
9
?
I
i
q
9
1
q
{
e
P
??
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
c
?
?
?
?
?
?
?
?
t
?
?
?
?
?
9
?
nd
d
d
d
{
i
d
d
d
d
d
N
d
N
d
A
d
d
i
d
N
d
d
d
d
d
d
^
N
d
d
d
d
d
d
d
d
d
d
d
d
N
d
d
d
d
2
2
Z
2
2
22
2
2
2
2
Z
2
2
2
2
2
22
2
2
2
2
22
2
2
2
2
2
2
2
2
2
22
2
2
2
>
2
>
>
>
>
>
>
:!
:
?
:
t
:
?
:
t
t
?
n
t
9
9
n
t
9
:
t
a
t
9
t
a
9
Q
r
i
!
c
a
:
t
q
n
I
t
e
i
n
9
9
l
t
9
:
:
"€
:
:
:
:
:
:
:
:
.E
:
:
:
"5
:
.5
:
:
E
:
5
:
5
:
:
:
:
5
5
:
:
:
:
:
5
:
:
:
:
"B
E
:
.E
:
:
i
d
d
d
d
3o
o
d
i
d
i
d
i
d
o
c
5
5
5
o
o
d
j
i
=
o
o
c
d
d
d
i
d
d
o
5
46
of
20
1
i;
3
.!
*
p
EA
i2E
++
6
d
n
i
d
6
d
d
38
3
8
3
3
3
3
8
E
EE
E
E
E
E
s
E
E
E
66
6
6
6
6
6
6
6
d
6tUAYu
!E_a8.
9
.EEE
QfEu{E
'€g6
;i
1:
9
i
n
i
?
-
-
q
!1
9
9
9
q
q
9
q
n
tn
e
9
e
e
n
q
-
l
66
r
9
9
a
P
e
e
q
d6
a
?
a
a
a
Q
a
a
eq
l
q
r
-
i
q
-
-
l+
;
f
i
r
a
1
n
q
:
€E
E
E
E
E
E
s
€
aa
l
9
i
i
e
n
e
etRd
n:
9
a
n
:
t
i
n
.b
od
r
€
€
3E
E
E
E
E
8
E
E
E
E
E
3
3
8
E
8
A
E
3
8
3
8
3
E
3
E
3
E
E
E
E
3
3
3
3
3
8
8
E
E
E
E
E
E
E
E
E
3
E
E
3
E
3E
3
E
3
3
8
3
E
E
3
E
3
E
E
8
E
E
E
E
E
E
8
E
E
E
E
E
E
E
3
8
t
8
3
3
3
8
3
E
8
3
3
3
E
8
E
E
3
3
3
3
3
d
6
d
d
d
d
h
6
h
d
6
d
6
6
6
h
h
6
6
6
6
6
6
h
h
6
6
6
6
;
6
6
h
d
d
d
;
6
d
d;
d
6
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
55
5
5
5
E
5
E
5
3
5
5
E
E
E
E
E
E
8
E
E
E
E
E
E
E
E
E
E
5
E
E
E
5
8
8
E
8
E
E
B
E
5
E
3
E
3
8
€
8
8
5
3
1Q
q
:
:
:
i
-
n
n
q
l
t
!
l
n
r
n
t
n
n
n
n
n
n
l
l
n
i
l
q
?
?
1
n
a
9
9
i
q
r
{
q
q
ii
!
1
9
i
q
-
i
9
9
1
9
!
9
9
9
9
a
n
n
1
i
q
q
q
q
e
q
q
-
n
a
l
9
9
c
q
q
q
q
q
-
n
9!
n
9
a
!
n
?
Q
i
n
i
9
-
q
n
q
Q
-
t
?
9
t
T
-
q
l
!
:
e
t
9
a
q
Q
t
q
:
i
i
9
1
!
Q
q
a
9
9
9
9
n
a
r
9n
!
!
9
9
9
q
r
e
q
q
9
?
?
q
*
9
9
9
9
9
9
9
e
q
q
!
1
n
1
t
q
:
a
a
9
9
t
i
9
9
i
{
e
n
l
-
q
9
!
!
i
??
-
q
i
-
q
e
q
q
i
i
-
-
-
-
n
-
-
i
q
?
9
q
-
-
n
n
n
i
q
a
n
a
a
l
l
l
n
n
l
l
l
n
l
l
n
a
l
a
9
!
!
,9
-
r
??
:
-
a
9
i
=
o
-
6
9
o
r
n
6
5
1
r
9.
N
a
n
?
N
n
f
9
n
t
?
9
n
:
.
n
?
a
:
?
9
a
a
9
?
f
I6
ns
n
t
n
n
n
n
t
l
n
n
l
f
;
t
t
n
:
n
*
n
n
t
n
n
n
n
t
n
a
n
n
e
n
n
9
n
r
t
t
n
n
t
t
t
t
n
n
n
n
t
n
n
nl
t
n
n
l
l
l
n
n
n
n
t
n
i
l
l
t
t
n
t
n
i
l
n
l
t
n
l
l
l
l
n
n
n
n
n
n
l
n
n
l
l
n
n
n
n
n
l
n
n
t
n
47
of
2
0
l
8E8E
E
E
3
t1:Ea€!t:;]
!Fs
:E
.?
,
.=
6:
I
::
F3
:
=
i
r
n
f
l
3
6
s
3
;
=
!
3
$
8
e
r
r
3
3
!
;
:
=
=
E
?
f
f
s
3
5
E
F
i
F
!
s
B
i
q
i
i
+
e
i
I
?
i
.
€
1
e
i
1
:
f
3
:
i
i
l
:
3
:
i
:
:
Ba
s
s
E
a
=
=
=
i
=
R
t
r
R
=
R
;
:
s
F
e
?
+
+
s
*
i
6
6
n
E
a
G
?
c
3
3
F
R
r
'
F
F
R
-
3
=
*
*
E
i
A
B
E
$
=
=
:
H
E
i
E
l
i
i
;
a
s
s
d
;.
d
5
5
5
5
5
o
56
d
d
6
6
6
d
a
d
d
d
d
d
d
d
6
d
6
6
6
6
5
5
d
6
==
=
=
=
=
=
=
=
-
-
*
-
-
38
8
3
3
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
S
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
E
3
3
3
8
3
8
8
3
8
8
8
8
3
3
3
3
3
3
8
8
8
E
E
3
E
8
8
E
3
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
-
;
a
a
e
a
a
a
e
a
d
,
-
*
-
-
-
-
-
€
-
d
ed
;
-
l
I
i
i
-
d
-
-
-
6
;
-
-
6
-
-
88
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
3
8
8
t
3
3
3
8
3
3
8
E
3
3
3
E
8
3
8
8
8
8
E
8
8
8
8
3
3
3
8
3
8
8
8
3
3
E
8
8
8
8
3
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
-
;
;
;
d
d
d
-
-
-
d
d
d
-
-
d
-
-
&
€
d
d
d
d
d
d
d
d
€
;
;
-
*
-
d
i
-
€
,
-
-
-i
l
h
6
d
6
-
-
i
a
a
6
n
6
6
33
--
-
;
3
A
A
8
8
A
B
B
3
8
8
8
8
A
8
B
B
3
3
A
3
*.
a
a
a
?a
e
e
e
r
p
a
q
?
a
c
a.
q
?
r
!
?
q
q
n
e
P
*
a
!
?
e
e
!
4.
?a
q
ae
!
T
?
*
a
e
q
RN
N
.
.
N
3
.
!
R
R
R
N
N
S
R
R
R
R
R
F
F
S
R
N
R
A
F
E
R
R
A
N
F
R
R
K
&
N
S
F
R
K
F
F
F
R
R
R
K
F
R
S
K
K
R
K
E
F
R
S
S
R
R
N
F
A
K
F
N
in
q
n
f
a
r
g
e
q
r
l
e
r
€
q
-
n
n
l
g
e
t
t
q
n
q
?
e
-
1
n
1
1
:
:
:
:
:
:
1
1
9
1
i
9
!
:
i
!
!
l
l
Q
q
q
q
?
?
?
?
?
:
1
e
c
Q
9
-
:
9
eB
B
;
;
$
$
S
C
!
!
*
A
A
3
B
S
;
t
r
=
*
C
g
*
C
*
*
E
*
S
S
B
g
3
3
3
E
B
8
3
g
t
s
B
g
G
*
3
3
*
*
*
*
*
;
3
$
$
*
*
a
g
*
*
*
*
c
s
*
;
g
$
9t
q
-
i
a
!
9
\
q
9
a
?
q
q
q
Q
q
n
q
q
!
9
9
9
1
!
n
r
n
n
n
q
q
a
i
q
?
q
q
e
-
-
-
n
?
.
i
i
F
6
a
;a
6
d
d
d
d
d
d
d
6
5
6
6
d
d
d
5
d
d
d
d
d
d
d
d
d
6
d
d
d
d
d
d
d
d
d
d
d
d
5
6
6
6
5
6
5
6
5
a
6
5
a
5
5
n-
?
-
l
n
l
A
n
n
g
t
q
-
-
q
Q
Q
n
1
9
i
q
\
q
q
:
!
<
9
n
n
q
a
9
q
l
1
!
q
9
9
e
l
M
!
9
a
q
n
P
q
q
n
n
n
n
l
i
q
-
i
9
q
q
-
a
n
;;
;
;
r
*
*
i
l
3
f
i
;
3
A
3
3
n
n
3
3
3
3
3
a
n
a
3
3
3
3
E
S
E
G
S
G
5
3
6
6
6
q
q
f
r
A
A
A
E
G
3
3
B
G
G
6
G
3
B
q
q
q
A
S
i
G
G
q
q
q
q
q
di
l
i
l
i
l
a
d
n
a
&
a
A
A
&
d
d
d
d
d
d
d
;E
=
5
?
E
:
F
+
G
:
R
C
*
!
X
S
f
f
!
r
9
3
!
a
i
A
:
a
*
a
l
R
+
8
e
3
3
8
:
S
!
8
!
:
Y
6
s
;
3
E
e
i
i
9
i
f
l
i
E
:
f
i
i
$
?
n
?
E
i
3
€
E
**
+
+
t
+
+
=
=
+
E
E
i
i
+
e
e
a
e
;
;
;
;
d
q
q
8
n
s
f
r
f
r
n
;
g
n
n
n
n
s
s
f
s
s
E
E
E
f
r
s
f
r
r
s
*
s
B
8
8
s
i
a
=
;
-
s
s
s
s
s
a
a
a
i
r:
:
^:
a
-:
J
:
l
j:
:
-
-
:
-
!
:
-
l
:
J
I
C?
9
q
?
q
C
q
q
q
q
r
9
9
A
l
a
q
n
a
l
l
i
l
n
l
-
-
:
:
1
:
C
C
a
+
o
?
"
?
?
?
6
o
6
q
€
a
r
€
-E
E
E
i
a
a
S
=
E
=
=
3
C
3
=
=
3
3
=
=
3
=
=
=
:
=
E
E
3
E
C
E
E
E
e
e
E
E
E
E
=
e
e
e
a
a
e
e
e
s
e
e
e
a
$
a
a
a
a
a
i
s
s
e
f
,
r
r
f
B
lq
!
i
g
t
q
n
n
i
a
n
i
r
n
\
-
r
-
n
q
{
t
*
i
1
-
i
q
Q
:
e
l
n
9
q
a
1
:
9
i
:
:
e
a
q
n
:
9
1
i
!
l
l
e
l
a
a
1
l
-
l
q
1
!
9
q
?
q
a
*r
:
:
!
=
A
a
a
9
:
!
!
!
9
s
s
:
!
:
a
=
t
E
t
!
!
!
=
:
:
5
3
=
!
s
s
=
a
3
3
=
=
r
:
:
!
=
5
3
s
=
!
=
:
=
t
5
=
:
E
!
!
3
3
3
!
i
i
f
iE
-
-
-
6
;
-
n
6
i-
e
,
6
-
-
-
-
-
-
e-
-
6
-
1n
.
a
a
9
9
9
i
i
*
q
Q
t
i
?
q
r
i
q
q
e
g
e
q
P
g
i
q
q
!
!
1
!
l
1
a
n
n
q
1
:
9
!
!
9
1
1
-
a
.
L
i
q
q
q
9
l
q
-
r
n
a
i
q
:
9
!
r
t-
-
d
d
t
d
d
d
-
6
6
e
e
e
o
R
*
=
*
R
X
f
*
R
X
=
*
R
R
e
R
A
e
R
R
R
R
R
3
3
3
3
3
3
e
3
3
3
g
B
S
S
g
:
3
;
;
;
;
;
;
-
-
E
E
g
e
e
g
UU
U
b
U
U
O
U
O
O
g
U
G
Q
6
e
U
U
U
U
U
U
U
U
U
U
U
U
U
U
U
6
O
O
O
G
6
6
6
o
€q
E
q
q
E
q
a
f
f
E
i
R
R
a
Q
s
r
€
€
€
€
s
c
G
e
G
G
q
€
q
E
E
E
S
S
T
S
n
S
E
n
n
a
S
G
G
c
S
E
E
H
E
S
g
T
E
E
E
E
E
E
R
R
R
E
H
R
E
A
I
-F
F
F
-
d
-
d
d
d
dd
d
n
d
-
-
^
-
d
;;
i
i
i
i
i
+
i
i
i
i
i
;
i
i
i
i
i
i
i
i
+
4
+
C
+
c
C
q
?
?
"
e
e
e
?
?
?
?
?
?
q
q
?
?
?
?
?
?
?
i
i
?
?
?
?
?
?
?
?
i
?
i
?
?
i
?
i
?
&6
j
G
5
i
d
G
r
-
d
6
6
5
-
il
d
-
6
6
6-
6
-
+
n
6
-
-
6
&-
<
+
6
6
6
6
b
6
6
6
6
6
@
o
9
U
U
U
U
U
U
U
U
U
U
U
U
U
6
o
6
6
G
6
o
9
€
o
;
^
^
^
Jd
d
d
.
;
^d
d
;
;
;
d
{;
^
d
^
^
dn
;
;
a
i
^
id
d
d
d
d
^
N
^
^
{a
d
{
^
dd
d
^
^
d^
^
d
d
d
i
d
a
d
i
d
i
^
n
n
^^
g
E
E
g
g
g
g
g
g
g
g
g
g
g
g
B
g
g
g
g
B
E
E
g
g
g
g
g
g
B
c
g
g
g
g
g
g
g
t{
i
t
t
i
i
!
E
I
l
!
i
l
l
l
;
E
;
i
E
t
i
E
E
E
€
l
E
E
i
E
-o
o
3
i
d
i
o
o
o
d
d
d
d
a
o
5
a
-
-
i
o
o
o
o
€i
3
;
a
x
5
8
a
s
8
3
3
S
3
A
3
3
3
3
3
3
8
5
5
3
3
5
5
8
5
t
S
5
5
5
5
3
3
E
=
3
E
?
;
;
=
:
g
?
;
=
;
;
:
=
.
:
9
4
?
:
;
;
=
:
!
!
=
=
-d
N
N
N
6-
-
-
-
6
-
-
-
-
-6
-
-
-
-
6
6
6
-
-
-
-
6
-
-
;
q
;
C
1
q
d
d.
d
.
d
6
d
q
{
a
d
d
6
d.
d
d
d
5
d
d.
a
a
{
a
a
d
d
d
a
a
q
a
q
q
q
a
q
?
?
?
l
l
q
q
n
q
q
q
q
q
q
n
q
q
q
q
q
q
q
q
q
n
q
q
iS
d
d
d
d
d
d
d
d
d
d
d
a
a
a
d
i
i
d
d
5
a
-
a
d
5
d
d
d
d
d
d
a
a
a
a
d
i
c
48
of
2
0
l
3E
E
3
8
3
3
3
E
3
3
E
3
3
g
3
E
E
E
3
8
3
8
E
E
E
E
E
E
E
E
3
E
E
3
3
3
3
3
3
3
3
3
8
3
3
3
3
3
3
3
3
3
E
E
3
3
3
3
E
E
8
E
t
3
E
E
E
8
3
E
E
3
E
3E
8
E
8
E
3
E
E
3
3
E
3
3
3
3
8
3
8
3
E
3
8
E
E
3
E
3
E
3
3
E
E
E
E
E
E
E
E
E
E
E
E
C
E
E
t
E
3
3
3
8
3
3
E
3
3
3
3
3
3
E
3
3
t
3
E
E
E
3
E
E
E
E
.E
p
il
,
i
t
,E!:;>
*-
e
o
-
-
&
*
-
d
6
6
;
6
6
h
6
d
;
;
;
d
;
6
6
6
6
6
d
d
d
6
;
6
h
d
6
6
6
6
d
o
o
-
h
6
6
6
d
c
6
6
d
h
6
6
6
d
6
d
6
6
h
d
d
6
d
d
h
6
6
h
6
::
-
-
q
q
*
i
9
!
9
n
!
l
:
q
q
e
a
i
9
9
t
t
!
!
!
9
1
1
1
1
9
1
1
9
!
9
!
9
9
9
9
t
*
f
qq
-
n
r
9
9
i
r
q
?
-
t
n
n
n
1
9
9
9
t
e
q
c
?
n
n
a
,+
l
+
l
EI
q-
a
!
9
9
9
q
n
9
€
q
q
n
9
c
l
i
?
n
a
9
a
t
i
q
q
-
n
!
*
q
1
n
n
a
1
1
a
a
1
9
e
?
-
q
c
-
n
i
i
9
i
9
9
n
-
q
?
:
q
n
-
-
?
?
C
a
q
q
9
9
9
9
!-
q
t
-
*
1
r
r
-
n
n
e
e
q
r
9
-
9
n
9
!
q
t
-
t
t
-
a
n
q
l
c
t
i
e
n
l
-
!
P
t
q
!
?
:
?
9
q
*
r
-
e
q
9
9
t
t
9
1
9
i
a
a
1
9
t
t
n
1
1
n
n
1
--
-
.
--
-
:
-
n
1i
n
n
I
l
l
l
I
I
I
n
1n
n
n
n
1f
n
n
I
n
n
|
1
c
n
I
l
l
n
i
i
1
t
I
I
n
n
n
n
I
t
1
l
I
n
n
t
l
t
I
I
n
n
n
I
n
n
c
I
n
1n
a
1a
I
n
a
a
a
s
--
i
-
n
a
a
i
F
-
a
a
-
F
a
-
a
F
-
-
&
-
-
-
-
6
&
&
&
a
o€
0
€
€
o
o
o
oo
€
o
o
o
@
o
€
G
6
G
G
6
0
6
66
6
0
0
0
6
6
€
o
6
6
6
6
G
o
5
6
G
€
d
n
^
n
n
d
N
d
^
^
^
N
n
d
d
d
N
^
n
d
^
d
{
d
d
N
^
d
d
^
d
^
^
N
^
N
d
d
d
d
d
^
d
d
d
d
d
d
d
d
d
d
d
d
.
.
,
.
i
l
l
q
l
l
a
l
l
1
$
f
g9
9
9
8
g
s
s
s
B
s
E
s
g
g
s
s
g
s
g
g
s
g
s
s
s
s
s
s
s
B
s
g
g
s
g
g
s
s
s
s
s
s
g
s
E
E
E
s
s
E
s
E
E
s
s
s
s
s
s
s
s
B
s
B
s
g
B
s
s
s
g
B
s
\t
i
9
9
9
9
1
q
n
-
q
9
q
r
9!
9
l
e
a
q
a
a
n
n
-
n
l
n
n
:
-
?
Q
q
nn
l
!
9
i
:
n
-
l
l
l
i
q
-
q
a
c
q
e
q
-
1
-
l
n
n
-
-
?
q
q
e
q
q
q
?
-
-
?
?
?
-
t
.
:
-
Q
n
Q
q
?
q
q
q
i
q
9
9
\
9
1
1
1
9
1
t
1
1
:
n
n
t
t
-r
a
@
o
dd
d
d
N
dd
d
d
d
d
d
d
d
dd
d
d
i
5
d
d
i
5
i
s
j
i
d
i
-
-
o
la
I
Q
i
n
9
Q
l
9
9
9
n
n
:
?
t
n
9
:
n
:
I
:
n
:
9
-
t
a
9
:
9
a
n
:
i
t
:
:
t
a
9
:
t
a
n
i
t
:
!
i
n
a
9
a
t
a
!
a
f
;
:
n
:
t
a
:
:
a
i
e
:
a
!!
!
9
9
9
9
t
r
t
r
t
r
t
r
A
*
*
A
q
q
q
a
3
aUO
!E9C3.
e
U
lq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
49
of
20
1
88
F
K
r
8
K
$
F
i
l
3
:
3
F
a
r
:
4
E
r
i
i
4
3
$
;
l
!
?
E
G
4
.
E
=
|
p
h
p
!
5
R
A
;
i
5
a
-
c
!
1
3
$
q
i
!
i
a
{
i
FF
F
F
R
;
3
s
S
8
8
e
3
3
5
a
5
3
3
8
5
=
:
!
!
r
1
x
s
r
F
3
:
q
!
pE
A
i
i
l
9
i
q
q
n
E
E
A
E
C
q
E
E
E
t
l
E
i
-&
-
F
&
-
N
d
d
d
33
r
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
3
=
8
3
8
8
3
8
3
8
3
3
3
3
3
3
8
3
E
8
8
8
8
3
8
8
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
n;
*
e
*
6
e
*
e
4
e
d
d
d
*
d
d
6
6
F
@
d
-
d
-
d
d
d
-
€
d
*
a
-
@
d
d
d
d
-d
d
6
6
88
8
8
8
8
8
8
t
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
3
8
3
3
8
8
3
3
3
8
E
4
8
E
8
8
E
3
3
E
E
9
8
t
8
8
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
n
*
*
o
*
*
&
-
-
d
d
-
n
-
-
6
-
;
6
d
-
d
d
d
d
d
d
€
-
€
.
d
d
-
d
-
d
-
d
d
-
-
-
€
dd
-
-
a
-
-
a
A
n
d
-
6
-
6
-
;
-
6
6
q!
t
q
n
e
:
q
1
l
:
i
?
i
t
?
i
9
?
a
-
9
?
9
*
n
q
r
q
i
f
19
1
e
!
:
q
r
l
q
i
n
!
?
l
l
9
-
a
n
!
1
a
n
n
-
e
!
1
!=
S
t
e
i
i
i
r
=
3
e
n
=
!
=
=
3
t
:
r
r
:
!
e
3
3
=
!
:
=
e
3
:
=
!
i
?
?
3
=
!
l
l
i
3
A
!
!
!
!
=
5
9
:
:
i
i
!
E
6-
-
4
6
--
-
-
6
?a
a
n
-
9
-
l
l
t
:
-
q
q
q
t
!
1
a
n
-
i
=
^6
5
3
a
il
;
i
l
+
6
6
+
+
-
6
+
+
+
{
-
-
a
-
-
t
ht
6
+
+
id
N
A
d
d
d
d
d
d
d
d
N
N
N
d
d
d
d
d
d
N
d
d
d
d
N
d
^
d
;C
;
C
+
C
a
C
a
C
i
"
e
i
i
?
C
?
?
?
?
i
?
e
?
?
??
?
?
?
?
?
i
?
?
?
?
?
?
t
?
?
e
?
"
e
?
?
?
e
?
?
"
?
e
?
e
e
g
q
3
{
E
F
E
S
:
E
I
*
:
f
E
H
€
E
3
d
3
:
A
6
B
:
:
B
B
6
B
6
3
G
U
3
E
E
3
-i
$
3
.E
.s
.i
,
i
E
.E
S
.d
.:
i
I
q
q
q
q
i
q
q
ii
;
;
;
;
.
,
,
a
i
.
r
.
a
c
.
c
.
f
a
f
1
.
t
q
q
'
i
q
r
a
s
q
l
t
1
1
6
,
'
|
i
i
.
t
q
'
s
q
S
l
l
i
a
a
q
i
i
q
r
a
a
l
a
a
f
'
l
q
q
a
'
:
.
l
f
l
E
E
B
:E
S
E
E
E
S
I
I
8
8
5
I
I
I
I
I
E
I
E
E
E
I
3
E
E
I
5
I
I
E
8
E
E
!
E
!
E
E
!
!
!
E
E
!
€
C
E
E
_€
E
id
d
d
i
d
d
d
d
o
d
d
s
a
c
a
a
o
=
5
88
8
t
8
8
55
5
:I
n
i
n
d
X
i
n
I
f
i
6.
i
d
;
;
;
;
;
;
;
F
-E
;
i
i
e.
-.
?
I5
5
o
;
j
iJ
a
i
a
i;
.
j
ia
5
i
i
.5
d
d
3
oo
i
s
o
d
d
s
o
o
o
-5
i
5
3
3
s
d
i
i
3
.
c
a
3=
EA
D
t3'zB{q2-
-
.;
z=
t*
8
8
8
8
8
A
3
3
8
4
8
8
3
8
4
3
3
3
4
4
8
8
8
8
*
3
3
3
3
8
8
8
4
3
8
8
;
a
B
3
6
3
A
E
A
S
B
;
3
3
3
4
e
e
3
4
8
;
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
-
6
6
d
6
;
6
;
d
d
;
d
h
6
6
,
,
6
6
;
d
d
;
h
6
6
6
-
a
-
6
;
d
h
h
6
d
Ni
l
N
-
i
l
i
l
4
-
a
a
n
d
-
A
d
d
n
d
d
d
-?
f
99
9
9
i
€
9
.
-
q
n
l
l
-
-
c
9
n
-
q
q
q
:
n
a
!
9
l
t
P
?
1
l
n
-
r
n
n
9
!
q
a
a
q
r
a
9
q
33
S
3
3
3
S
3
e
3
3
8
3
3
3
3
8
8
S
S
3
S
a
;
S
3
8
8
S
8
3
S
3
3
3
3
3
3
e
8
8
S
X
3
3
3
3
3
i
S
S
n-
n
i
a
n
r
?
q
?
q
9
9
e
q
-
a
t
q
l
!
q
e
9
c
q
?
?
:
1
9
t
9
9
i
q
q
:
9
a
:
-
a
n
a
l
?
?
:
1
9
9
4
-
1
Q
9
n
a
a
3A
f
l
TG
G
S
€
6
€
S
S
G
G
g
G
S
€
g
g
S
C
€
€
E
B
€
€
€
€
€
€
€
€
€
€
E
G
G
€
C
G
G
E
E
E
E
G
E
E
q
q
E
q
q
q
q
E
E
;
d-
F
n
F
-
-
&
-
-
F
F
d
d
d
^
d
d
d
d
d
N
d
d
d
ln
q
q
i
?
q
q
c
e
*
c
e
P
t
9
9
!
n
q
-
c
q
q
n
q
!
e
i
i
i
9
i
9
9
9
9
9
-
-
!
9
n
a
a
a
l
l
l
l
e
l
n
n
n
q
a
a
l
l
h8
*
x
r
t
s
r
3
8
3
r
t
8
t
3
t
3
3
r
t
r
r
5
5
8
5
5
5
5
5
5
8
5
5
5
S
8
5
t
e
8
5
3
5
5
5
h
S
5
5
5
5
5
5
5
5
5
5
5
5
j
i=
'
j
j
j
j
id
i
J
i
a
-
.
5
3
5
5
i
-
3
e
3
"Q
5o
o
.
od
o
d
i
oo
d
d
i
i
o
3
.
.
d-
-
-
-
-
-
-
F
-
A
a
^
i
-
d
d
i
d
N
I=
N
d
U
+
=
6
.
-
6
i
l
&
d
a
3
-
r
-
r
:i
1
i
!
s
i
i
-
e
e
e
!
e
-
=
a
i
i
s
e
s
r
1
9
9
1
x
e
a
a
e
1
e
9
s
1
9
x
1
1
e
2
e
t
1
1
a
a
a
a
i
1
9
1
1
a
1
1
1
9
-
a
i
E
q
e
R
q
!
!
a
E
-
6
a
a
q
q
{
c
6
!
6
E
c
E
E
r
{
i
{
q
i
4
{
4
i
I
?
i
i
I
i
I
i
I
I
I
i
I
C
I
I
E
I
I
i
I
i
^s
iS
d
d
d
d
c
d
d
d
d
d
d
d
d
d
i
d
d
d
d
d
d
d
a
d
a
c
o
o
d
-
J
J
J
!QAE.
g
.?
,
.z
n!
O
x
J
;
-
n
i
9
a
n
-
9
"
!i
n
r
"
ri
r
a
"
ii
i
a
=
n
a
9
a
n
-
r
a
I
r
I
Q
I
I
9
9
n
a
I
a
n
I
n
:
r
a
n
:
I
a
!
i
I
I
I
:
dd
d
o
a
c
6
-
-
-
6;
-
6
+
nn
n
-
a
-
-
n
n
n
n
e
n
a
a
a
u
i
i
a
n
n
r
a
l
:
n
.
a
a
a
n
n
l
n
a
l
n
n
.
n
.
e
i
t
t
a
:
a
a
a
a
a
n
t
a
n
a
n
a
==
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
==
=
=
=:
=
=
=
:
=
==
:=
=
=
=
=
==
=
=
=
=
=
=
=
=
=
:
=
=
=
=
=
==
=
s
3E3E
i?
50
of
2
0
l
-E
r
.
ta
n+
6
d
d
i
d
d
d
rn
a
!
!
!
!
3
!
l
88
3
3
8
8
8
8
8
3:
=
!
=
=
=
=
=
EE
E
E
E
8
E
3
8
q?
!
9
*
?
9
q
q
3
6d
6
r
-
a
d
d
d
c-
5
n
-
a
9
9
9
9
d6
a
a
?
?
?
?
?
l
?!
-
1
a
i
a
*
P
a
!i.
s3.
t
,Ec=
.=
H
!(JIa;e2d
rl
?e
F
i
a
q
?
a
s
s
;6
d
!
t
=
:
9
9
!
!
nt
n
n
l
n
n
t
n
n
?e
e
?
?
?
?
e
e
a
99
9
9
9
9
9
9
9
9
A&
&
A
A
T
A
T
O
E
*o
6
0
6
!.s
,E
$d
33
38
8
8
8
8
8
3
3
8
8
3
3
8
8
3
3
8
3
33
E
E
E
E
3
3
3
3
3
3
t
t
E
3
E
8
E
-e
!
-
r
n
a
9
n
9
?
!
a
9
q
n
9
Q
1
!a
9
a
9
9
9
9
9
9
!
9
n
a
1
n
n
n
i'
6
d
+
-
-
6
6
d
-
+
=
d
a
&
a
d
6
q-
-
i
?
q
!
r
?
i
q
-
e
l
1
!
a
n
Y:
n
N
6
+!
t
P
q
9
q
-
Yr
l
f
l
YY
Y
I
f
l
l
Y
5
5!
a
a
i
1
?
-
i
a
n
1
a
9
l
t
!
h
r8
8
8
8
8
8
8
8
8
8
8
5
E
3
5
8
8
a.
-
-
l
n
n
l
n
l
n
n
n
r
i
i
l
n
5?5
38
8
8
8
8
8
8
8
8
3
E
8
8
3
8
t
E
E
a"
l
?
t
t
t
t
?
a
"
?
?
e
a
?
3
3
8
a-
i
+
6
d
d
d
d
6
F
6
j
;
n
G
d
o
n
^
ea
!
n
9
a
i
l
i
-
i
n
t
n
a
r
9
c
!
td
+
i
n
n
n
n
n
-
1
i
n
i
:
n
n
n
n
r
'd
6
r
d
d
d
6
j
^
d
-
.
.
.
j
d
n
n
??
?
?
?
?
?
?
?
9
?
t
?
?
?
?
?
?
9
da
a
a
d
d
N
d
d
d
d
d
d
d
R
d
d
R
d
EE
E
E
8
3
E
E
E
E
E
5
E
E
5
5
E
E
8
S$
F
T
F
F
€
F
*
>2
>
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
;,
;
;
6
r
6
G
6
i
;
;
r
r
;
d
&
&
-
E3
E
==
=
E3
E
EE
€
it
:
5l
o
f
2
0
l
":
l
l
a
l
l
=
l
:
=
38
8
3
3
3
3
3
3
E
3
E
8
3
E
3
3
E
3
3
8
8
E
8
E
3
E
a-
a
=aae
ze:g
nt
-
q
q
i
i
i
t
l
<
*
q
q
-
:
n
n
t
1
1
!
9
9
9
9
i?
i
i
i
?
i
i
i
i
=
=
i
i
i
r
3
3
3
3
3
3
3
3
3
3
qe
t
!
q
a
c
9
9
a
r
q
9
-
q
9
9
1
-
q
9
a
a
-
9
9
in
t
9
1
a
:
q
n
!
1
9
?
q
e
q
n
l
l
n
n
q
n
t
l
-
1a
n
:
q
56
q
i
i
i
i
n
i
a
a
a
a
a
e
a
i=
=
=
=
EE
S
E
€
8
5
€
E
5
E
5
5
5
E
5
E
E
5
E
E
E
E
E
E
8
qi
9
!
1
9
q
q
r
t
t
i
e
a
n
n
9
9
a
9
9
i
n
q
q
P
an
a
a
i
n
a
n
e
t
n
n
a
l
a
1
1
1
1
a
a
1
1
9
1
a
a!E2.
2
LEEE
=H
(J
AT
A
A
q
A
&
C
O
L
L
A
C
4
G
A
I
A
T
A
&
&
A
A
A
&
aa
?
:
n
:
9
i
a
:
?
:
n
a
Q
i
n
a
9
i
r
i
?
i
n
a
aa
:
:
:
:
:
:
:
:
:
:
:
:
n
n
a
n
n
n
n
n
l
i
n
n
33
3
3
3
3
3
3
8
8
8
8
8
3
8
8
8
8
8
8
t
8
8
8
8
8
3
8
8
3
8
8
3
8
8
3
8
8
8
8
3
8
E
8
8
8
;;
-
;
d
dd
d
-
-
-
-
6
t
-
-
*
-
dd
-
d
t
t
-
dd
&
-
-
i-
-
n
n
l
t
a
l
:
:
:
n
1
*
q
q
c
n
9
q
-
-
r
a
l
i
i
!
l
9
r
i
l
e
q
:
1
e
q
l
-
Q
n
a
n
\r
9
9
9
t
t
a
q
q
n
n
n
q
n
l
9
!
n
9
l
n
a
a
n
!
9
9
\
!
n
q
9
n
l
9
9
q
q
A
9
i
q
q
t
!
11
1
Q
*
n
!
C
a
9
1
n
a
a
:
-
q
q
q
?
?
f
l-
q
!
n
Q
i
l
i
i
9
a
q
a
n
r
i
q
9
n
n
l
9
?
66
-
o
a
:
6
r
6
-
-5
@
o
t
d
3
-
€
n
--
6
.
,
6
--
-
6
+
+.
+
+
+.
+?
?
;
?
?
;
i
?
;
33
3
33
3
3
3
E
3
E
E
E
3
E
=-
E
3
33
:
3
:
38
3
3
3
3
3
-
*
a
*
P
4.
a
?
a
.
e
.
e
e
e
P
?
q
q
-
e
!
{
P
?
{
q
a
c
q
q
-
e
e
!
Q
<
q
a
q
e
r
?
?
e
q
!
€
a?
r
1
9
i
r
q
q
:
:
r
r
r
1
9
!
9
9
9
t
r
r
?
{
a
q
q
n
q
e
i
F
i
i
i
i
e
e
q
c
9
:
a
:
l
-€
6
-
6
99
\
i
i
9
9
9
99
!
9
1
1
a
an
l
n
-
-
?
5
5
6
5
6
?-
n
I
n
a
a
a
1
-:
=
=
=
6a
:
=
:
=
=
=
=
=
=
??
n
q
9
-
9
a
a
?
i
t
1
?
*
t
1
n
n
?
1
1
a
9
-
!
t
t
!
9
q
!
!
q
l
9
9
a
9
1
c
!
9
€
?
9
q;
?
?
?
?
?
?
?
?
i
i
?
i
?
i
i
?
?
?
q
i
i
i
i
i
i
i
i
?
?
i
i
i
i
i
i
i
?
?
?
?
i
i
i
?
88
8
8
8
8
8
8
8
8
t
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
dr
&
&
4
a
d
a
a9
-
n
a
?
:
s
a
:
a
n
a
9
i
n
a
?
nd
d
d
n
i
n
{
{
^
d
N
^
n
A
d
i
N
:
AA
I
A
A
A
T
A
A
C
A
4
T
x
52
of
2
0
l
:;
!
.!
-
:
:q
.
e
9-
.
:
q
F
6
nt
3
e
9
+
^
9e
9
1
A
-
a
83
3
8
3
3
3
3
3
3
3
E
3
3
3
3
E
3
E
E
E8
3
E
E
3
E
E
E
E
3
E
E
E
E
E
E
3
3
8
F\
i
i
i
i
t
t
t
i
i
i
t
t
t
i
F
i
t
F
i*
e
q
q
:
i
t
a
a
1
a
n
n
n
1
1
9
1
1
tl
n
t
l
l
l
n
l
n
l
t
l
t
n
l
t
n
i
l
n
??
?
?
?
?
?
?
?
?
?
?
?
9
?
?
?
?
?
?
?
dd
d
d
N
^
^
N
d
d
^
d
d
N
N
os
d
o
o
d
s
i
i
o
o
5
o
a
i
a
S
S
a
.
qq
9
:
n
n
n
n
n
n
n
n
n
n
t
n
n
n
n
:
ce
e
9
9
9
i
e
€
9
9
9
i
q
?
?
q
e
i
9
i
=E
=
C
=
E
=
3
E
=
E
E
E
E
S
E
=
C
E
E
!
ia
9
!
9
t
9
q
q
n
q
r
{
!
i9
*
{
e
t
e
q
t
9
a
1
9
9
i
9
9
9
a
-
I9
A
!
9
9
!
9
9
!
1
1
1
a
n
1
1
1
a
a
1
4r
d
d
L
6d
F
F
i
i
;
d
;
d
d
d
;
d
j
i
5
5
:
:
il
J
d
n
n
n
n
n
n
d
n
i
l
n
i
l
i
d
i
l
n
n
n
fEB{q2'
-
.sE3?1
3E
E
E
E
3
3
E
t
3
8
3
E
3
3
3
8
3
3
3
3
3
8
8
E
3
t
3
a
3
3
E
3
3
E
3
E
E
8
E
3
8
E
E
E
8
8
E
E
E
t
3
33
3
8
3
3
3
E
3
E
E
E
a
E
E
3
E
3
E
8
S
E
E
3
E
E
3
3
3
E
E
3
3
E
3
3
3
3
A
E
3
3
E
3
E
E
E
3
3
E
E
3
?r
a
f
r
a
e
q
e
r
e
e
q
q
q
t
p
p
q
i
!
t
q
e
6
a
d
r
a
o
-
q
q
a
{
e
*
r
a
q
q
9
a
q
a
?
n
{
i
a
<
i
9!
!
9
9
9
9
9
r
i
r
9
9
9
!
9
t
a
1
n
t
l
n
n
n
f
in
n
1
a
l
l
n
n
l
l
n
:
:
:
:
-
-
-
-
a
:
a
q
q
?
i9
9
9
i
q
q
?
n
-
-
q
q
t
\
P
q
q
i
9
l
n
n
t
9
i
r
P
a
q
q
a
e
l
i
9
9
!
a
n
q
a
n
1
9
9
9
9
q
9
9
t
t?
q
i
9
n
q
!
9
9
1
a
t
q
9
a
1
n
l
t
-
?
q
q
t
9
n
q
a
9
i
a
i
n
n
n
-
-
q
q
c
q
n
9
q
9
q
q
q
c
i
9
11
9
9
t
!
!
!
!
!
n
!
9
!
9
!
!
!
!
9
n
t
9
n
n
9
!
t
!
!
9
9
t
1
!
t
9
I
l
n
!
!
n
t
9
!
I
9
9
9
9
!
64
4
9
4
4
4
3
3
3
3
1
4
4
1
3
9
9
9
9
4
9
3
9
9
9
9
9
3
9
2
9
9
3
4
4
3
88
3
3
3
8
3
8
3
8
3
3
3
8
8
8
8
3
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
3
3
8
8
8
8
8
8
3
8
8
8
8
3
f
9
!
n
q
:
t
1
-
1
:
e
a
?
:
9
e
:
t
t
i
n
!
q
:
9
n
n
i
q
q
?
n
q
l
n
l
q
l
n
n
n
q
a
9
n
?
l
?
9
a
9
{e
a
?
-
n
a
1
!
i
n
a
l
9
q
q
i
9
!
n
q
q
q
l
n
:
q
n
a
t
9
!
n
n
9
9
t
1
1
n
q
a
q
\
1
n
1
!
n
n
l
q
ii
i
i
i
i
?
i
;
i
;
i
i
?
i
i
?
?
i
?
i
i
i
i
?
?
?
i
i
?
?
i
i
i
i
i
i
i
+
i
i
i
?
i
?
?
?
i
?
?
?
?
dd
d
d
d
N
N
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
N
d
d
d
d
d
N
d
^
^
d
d
d
d
^
d
^
d
d
d
55
E
5
5
8
5
5
E
5
E
5
E
E
E
E
E
E
8
E
E
E
€
E
€
€
8
8
8
5
8
8
5
5
5
5
5
5
8
5
5
5
5
5
5
5
8
5
€
5
5
8
:
z
qq
q
q
q
n
q
q
c
q
q
q
q
q
q
q
n
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
ed
q
a
I
o
e
a
&
r
o
I
o
d
o
o
E
E
o
a
4
a
r
I
E
a
*
L
d
a
a
a
a
a
a
6
9n
a
9
?
l
a
9
?
n
a
9
?
n
n
9
Q
f
l
a9
9
t
a
n
Q
t
n
9
?
n
a
?
?
t
n
3
ni
n
n
a
n
i
n
l
i
n
n
t
l
i
t
t
t
n
f
;
t
i
l
n
n
f
l
n
n
a
a
n
i
t
n
n
n
t
!Er
8.
e
-9.:
U
53
of
2
0
l
.E
-
*
tr
:a1e
e
QO9E
.3
.!
oqre_
-
^r
o
d
i
-
;
r
'
F
r
o
^
r
6
d
a
j-
h
F
d
d
n
;
6
d
d
j
;
6
6
d
c
a
+
6
F
6
j
-
h
€
d
d
d
n
6
r
6
:
6
r
o
t
-
d
-
h
€
8
33
3
3
3
3
3
3
3
3
3
E
E
3
3
3
3
3
E
E
E
E
E
8
E
t
E
3
3
E
E
E
3
3
3
3
A
E
3
8
3
3
3
8
3
E
3
E
E
3
3
E
E
E
E
E
E
e
33
3
E
3
3
3
E
E
3
3
3
8
E
3
3
3
9
3
8
E
E
E
E
8
8
A
8
8
8
8
8
3
3
3
8
3
3
3
3
3
3
3
3
8
a
3
8
3
3
8
E
3
8
E
8
3
3
Qn
n
!
a
9
a
n
!
i
<
q
?
a
9
?
-
t
l
l
c
q
q
q
q
q
e
9
9
1
a
a
1
a
n
-
e
q
n
1
9
9
9
a
n
a
9
i
*
e
e
e
q
-
n
9
9
9
i
i
i
i
I
i
r
t
i
i
i
i
t
i
i
i
i
i
i
t
i
t
i
i
t
t
i
i
t
t
i
i
t
i
i
\
i
a
I
i
t
t
t
t
q
i
i
t
\
i
i
i
f:
t
i
t
r
r
?q
?
q
q
e
l
9
9
9
9
1
1
1
t
l
a
9
n
9
i
e
q
q
q
?
-
t
n
a
t
n
n
n
n
n
n
n
l
n
n
n
-
-
-
-
-
?
q
Q
a
q
q
q
q
q
q
q
n-
Q
q
q
i
i
9
n
!
!
n
9
9
9
9
{
r
q
q
n
l
a
9
9
t
9
9
i
i
e
c
t
i
i
i
t
a
n
a
f
an
l
a
l
a
l
q
l
l
n
-
-
n
-
q
a
ne
e
i
t
i
i
i
i
?
€
?
q
c
n
?
?
-
-
-
l
t
n
n
a
a
a
a
9
9
!
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
!
9
!
9
9
9
iq
!
i
*
1
9
!
!
?
-
q
n
n
t
t
n
q
t
a
q
n
9
e
l
n
n
q
9
*
\
a
!
n
i
n
-
q
l
?
q
n
?
a
9
1
*
n
1
l
l
i
1
:
9
1
:
:
nn
I
l
!
n
n
t
!
!
1
a
1
n
a
n
!
i
r
P
P
i
{
?
q
1
P
!
?
9
9
!
a
e
e
*
e
e
q
-
q
c
n
a
9
n
a
t
n
n
n
a
l
9
n
-
?
q
??
?
?
?
"
?
?
?
?
?
?
?
?
?
"
?
?
?
9
?
?
?
?
?
?
?
C
?
a
?
9
?
?
?
?
?
?
?
?
?
?
?
?
9
e
?
?
?
?
?
?
?
?
9
?
?
?
^^
n
^
^
^
d
n
d
d
N
d
^
i
N
^d
d
i
N
Nd
d
d
d
d
d
d
d
d
d
d
d
58
E
8
E
E
E
E
E
E
5
E
8
8
E
3
3
E
€
5
5
8
8
5
3
5
8
E
E
5
E
5
5
5
5
5
8
5
8
8
€
E
E
E
€
E
E
E
E
€
€
€
E
8
E
E
E
8
A
A
A
A
A
&
&
A
C
il
A
AA
A
T
A
A
A
A
A
&
A
T
&
T
A
A
&
A
T
T
A
A
A
A
&
&
4
C
4
il
E
4
d
I
d
d
d
L
O
E
d
d
a!
?
:
i
a
?
t
a
n
?
n
i
9
?
n
a
!
?
n
n
9
?
*
n
t
9
n
a
I
9
n
n
9
Q
t
9
n
9
n
n
n
Q
t
a
9
Q
t
n
9
?
s
r
9
?
n
9
9
54
of
20
1
qq
q
q
q
?
q
q
q
q
q
q
l
q
l
q
q
q
q
q
c
a
q
q
q
q
q
:q
q^
1
!
e
9
-
Q
q
-
l
n
1
a
n
:
q
a
a
n
n
t
l
n
a
n
t
t
l
l
t
l
!
9
9
n
n
a
1
9
9
9
9
i
9
t
i
9
1
n
n
t
n
n
9
1
n
II
-
o
r
.
?
e
q
=
8
1
1
8
:
!
3
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
5
8
5
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
-.
5
=
=
=
=
=
=
=
=
_
_
_
_
ii
t
i
i
t
i
i
i
i
i
i
l
t
t
\
l
i
t
f
i
i
t
i
i
i
i
i
i
i
i
i
i
i
t
i
t
i
\
\
\
i
t
i
i
i
t
t
t
i
t
i
i
i
t
t
i
i
i
i
a
a
i
i
r
i
i
i
\
r6
6
6
6
6
h
h
FE
3
-
3
i
p
-
F
s
s
s
s
q
r
E
E
q
r
3
a
q
S
a
S
s
E
€
q
q
E
4
a
3
;
8
;
3
$
!
i
i
Q
s
E
q
E
=l
r
4
i
q
q
{
i
i
E
E
:
i
E
E
=
E
q
€
i
s
aa
a
j
j
i
:
d
d
d
d
i
-
i
i
+
,
+
+
6
h
6
d
6
6
6
6
r
d
r
r
d
;
.
d
d
d
d
d
9
9
3
=
=
=
=
=
l
a
!
:
!
t
A
t
i
l
:
l
l
l
!
!
!
!
9
9
9
9
I
I
{A
A
4
A
E
A
E
I
A
O
T
A
A
A
A
A
{
4
A
A
A
E
E
&
O
O
A
T
E
T
T
A
A
A
L
A
A
A
T
L
d
d
d
A
A
d
d
d
&
E
i
l
E
E
E
E
E
E
d
E
E
E
E
E
E
E
E
E
E
I9
$
n
n
?
n
n
n
?
n
a
9
?
n
a
6
0
d
-
r
d
+
6
r
d
+
6;
d
i.
i
d
r
6
i
^
+
6
-
N
+
6
-
d
+
6
-
-
+
6
i
-
n
6
-
-
i
6
-
N
i
6
r=
=
a
i
a
i
!
!
4
9
!
9
i
i
i
i
-
{
<
a
q
n
d
e
-
6
d
d
i
J
:
r
r
d
i
n
n
-
;
6
-
+
+
+
+
6
6
;
6
i
b
;
b
i
i
i
i
;
;
;
;
;
;
d
d
o
o
o
o
::
-:
ji
:
:
:
:
:
:
I
-:
ll
:
-:
-i
:
j
i
!
l
r!
J:
t
I
i
:
-
l
-:
-
:
__
:
_
L
L
u
!
L:
Ji
:
J
!
a
!
_
a
_
_
_
_
x;
1EA
3EIa)
ts
E
E
o
o
a
nq
n
-
-
q
r
!
e
qe
e
ee
i
i
e
{
e
i
i
i
i
{
a
<
qe
n
r
?c
e
qe
?
!
*
€e
pa
p
!
e
p
-
eQ
ee
e
e
<
e-
e
e
cc
q
-
9
5
i
i
i
i
i
3
.
3
3
5
=.
i
o
3
io
o
o
o
o
d
5
o
c
o
o
o
d
d
i
o
.
o
i
o
3
.
3
o
o
o
i
5
o
o
o
o
d
3
d
d
o
__
c
c
c
38
3
R
r
8
=
F
3
.
!
3
E
n
;
6
A
r
i
l
;
;
A
q
;
q
6
E
;
a
i
n
3
E
3
i
n
;
;
;
;
A
;
;
;
;
A
3
3
;
;
;
3
3
?
8
8
8
E
3
8
3
f
;
3
3
3
;
e
+
3
f
f
=o
5
r
-
FC
3
6
0
a+
o
-
6
oc
3
6
3
r
c
r
a
o
o
o
o
6
0
0
a
.
5
0
5
.
o
o
6
6
0
6
-
o
=
-
4
3
--
-
:
:
9
9
:
:
=
=
=
=
=
=
=
=
=
=
I
=
E
:
=
9
9
9
1
9
1
1
1
1
X
1
X
1
3
=
3
=
1
=
1
1
1
1
9
=
1
1
g
1
1
1
1
1
a
1
a
1
a
1
a
a
X
X
a
a
@r
€
o
o
€
4
6
0
€-
*
6
6
-
-
6
6
d
ea
d
d
d
&
&
-
-
d
-
&
-
-
d
6
&
-
d
dN
A
N
d
A
d
d
-
d
d
d
A
-
d
-
-
-
d
d
d
d
d
d
sF
s
s
c
s
s
E
q
E
S
E
A
E
Q
c
q
S
Q
s
E
:
E
q
q
:
a
E
;
!
A
e
+
f
i
5
i
?
R
-
F
n
E
E
A
A
E
;
E
q
9
E
3
E
S
{
e
R
q
i
S
q
.
E
i
i
E
s
i
:
5
€
€
o
€
o
aa
*
&
6
-
6
r
a
6
a
6
=
=
=
=
=
=
=
=
=
==
aOA
Yu
!E_4
.3
.z
E=O
9C
-
F
6
-N
i
EE
.J
E
:E
{
9t
i
55
of
2
0
l
ii
i
d
5
i
i
d
d
d
d
d
d
o
:E
E
5
nq
q
q
q
q
l
q
q
q
l
q
q
c
l
q
q
q
a
q
a
l
q
q
q
q
q
q
q
q
q
q
q
q
l
q
q
q
q
q
q
q
q
l
q
q
q
q
l
l
l
l
q
q
l
l
n
n
-l
l
n
-
-
-
q
-
1
n
-
?
Q
:
q
l
l
-
-
-
-
n
i
t
n
-
-
?
q
n
n
c
q
q
:
i
l
l
-
-
l
-
n
n
l
:
:
1
88
8
8
t
8
t
3
t
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
3
8
8
8
8
8
3
8
8
8
5
8
8
8
8
88
8
8
8
8
8
ii
i
i
t
i
i
i
i
t
i
i
t
t
i
i
i
t
i
i
i
i
t
t
t
i
i
i
i
l
i
\
t
i
t
i
i
t
i
i
\
t
i
i
\
\
i
i
i
i
i
t
i
i
i
t
i
i
t
i
i
i
o
d
+
o
r
6
6
t
o
i-
;
r
o
o
d
r
o
e
t
jd
6
d
n
i
{;
6
F
d
3d
+
d
dd
i
;
d
dd
-3
3
;
s
;
3
;
E
q
q
a
S
i
q
E
g
a
f
r
Bc
q
q
E
9
=
q
s
i
s
e
!
qn
i
?
l
!
F
q
n
!
i
q
t
!
e
?
€
d
d
d
d
d
d
d
9
9
2
2
=
-
=
=
!l
!
t
!
l
!
I
I
n
I
f
I
a
:
!
!
3
!
o
d
d
6
6
d
d
o
6
6
d
€
€
d
o
o
o
6
G
o
od
o
o
€
o
d
6
6
d
6
o
6
6
6
d
o
o
d
d
@
€
!Eq
3.
e
E!
Uf,EIdl
:
21
,:
E?n
q
n
n
n
i
-.
-
-
-.
-
.
-
i
-
a
-
a
:
-
-
-
-
|
-
-
I
i
-
-
-
:
a
-.
-
-
-.
:
-
-
|
-
-
:
i
I
n
i
I
n
n
n
n
n
n
n
n
n
a
n
a
a
I
n
;;
a
;
;
;
*
;
J
3
r
3
A
;
C
*
;
A
B
g
g
*
;
g
A
t
*
*
A
A
*
*
*
;
I
;
;
*
t
A
I
*
r
r
*
*
$
*
*
S
*
*
*
*
t
S
S
*
C
J
3
S
3g
i
l
$
8
6
5
!
*
s
;
+
r
€
F
;
s
8
=
:
R
=
$
;
a
S
F
s
t
s
?
=
i
g
+
;
6
3
r
s
s
E
i
l
E
5
9
;
s
F
R
r
i
E
:
l
:
=
5
n
g
x
LA
N
A
l
&
A
A
A
C
4
N
A
C
d
d
C
A
4
&
4
T
A
A
A
A
A
A
A
A
A
&
A
4
T
d
A
L
A
A
T
A
&
&
A
&
T
A
A
{
O
A
T
A
O
A
A
A
A
&
O
&
?n
n
9
?
n
n
9
9
1
9
9
?
3
n
t
?
i
n
r
?
n
t
n
?
l
:
n
:
n
:
9
i
n
s
9
i
n
a
!
-
i
a
9
:
t
:
9
:
n
:
t
:
n
:
:
:
n
:
t
:
l
tn
n
n
n
n
n
n
a
n
n
n
n
n
n
S
+
1
n
n
n
n
f
;
nn
a
n
n
n
a
r
n
n
n
n
a
a
n
a
a
n
a
a
n
t
n
r
n
n
r
n
n
n
n
n
n
n
n
n
t
r
t
lq
q
q
q
q
q
q
q
n
di
i
d
d
d
d
d
d
r
nn
e
n
n
n
t
n
t
n
88
8
8
8
8
8
8
8
8
3E
e
E
a
5
6
E
A
5
ii
t
t
\
i
i
i
l
i
dd
i
d
d
d
d
d
d
d
6€
€
€
€
6
6
6
€
6
dd
d
d
d
d
d
d
d
d
::
:
)
)
j
i
;
i
:
ee
c
9
-
a
9
-
e
?
q9
9
1
1
1
1
1
a
a
66
6
6
6
6
6
6
6
6
9{
-
n
9
e
i
n
9
e
ad
&
&
[
n
L
d
d
a
JI
I
I
&
A
N
;
;
J
nt
n
f
;
f
;
:
n
9
t
l
56
of
20
1
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
l
q
a
5
.
q
q
q
q
l
q
l
s
6
6
n
q
n
q
l
q
q
q
q
q
n
q
q
q
q
q
q
q
q
q
q
q
q
q
€o
r
o
€
o
o
9
€
9
o
qq
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
n
q
q
a
q
q
q
q
q
l
q
a
q
q
q
q
q
q
q
q
q
q
q
l
l
l
q
q
q
q
38
8
S
9
8
S
8
8
8
88
8
8
8
8
8
8
8
8
8
8
8
8
t
8
8
S
8
8
8
..
4
3
4
=
E€
!
C
:
€
g
€
E
E
g
T
E
E
€
!
E
€
C
g
:
:
C
C
€
E.
!
:
,9,e 9UA
!E
.?
.9
_
.:
HO
dF
F
6
6
6+
6
6
h
d
6
-
G
o
6
a
F
d
n
d
h
6
6
c
+
d
6
6
*
rr
r
n
A
S
;
i
d
d
6
'-
3
;
s
;
s
s
S
i
q
E
E
q
E
!
g
3
q
4
S
n
A
n
3
q
ri
q
r
9
t
q
n
q
t
q
n
9
i
a
i
!
r
q
n
n
i
?
i
!
€
q
r
n
c
?
n
6-
d
d
d
d
d
6
=
=
=
:
:
=
:
=
1
1
a
:
!
=
!
=
f
=
O
A
T
A
A
A
A
A
A&
A
&
A
A
A
A
A
A
A
A
T
T
&
&
&
d
A
E
A
[
[
T
A
A
A
I
A
A
&
A
A
O
A
A
A
L
?n
t
t
9
t
n
9
9
l
a
9
?
n
a
n
Q
n
r
n
?
n
n
n
9
n
:
9
:
t
a
9
:
t
a
9
i
i
a
n
i
l
:
9
:
l
:
9
-
n
:
!
:
n
n
:
f
l
l
:
i
a
a
:
i
:
a
:
:
:
:
t
t
n
a
l
i
t
a
l
9
9
9
9
r
r
r
9
9
9
9
9
9
l
n
n
l
l
l
9
!
n
9
r
r
9
!
!
r
n
f
9
88
8
8
8
8
8
S
9
8
8
8
8
8
8
8
8
dd
d
d
d
6
r
d
r
r
r
r
d
d
d
d
G6
6
6
6
6
U
6
6
6
d
6
6
G
6
6
*-
€
q
q
q
q
9
9
*
a
-
i
9
q
<
nn
a
n
a
l
l
M
a
a
!
!
!
9
lf
q
i
t
n
?
+
9
n
:
1
i
l
n
9
-n
9
?
:
n
9
r
-
a
9
a
-
n
9
e
nn
:
l
a
n
T
:
:
:
l
a
:
a
t
l
ti
l
F
F
F
i
i
i
i
d
F
r
i
r
r
r
jj
i
r
j
i
:
:
:
J
J
i
J
i
;
J
lq
q
q
q
q
q
q
q
q
q
ii
i
i
j
r
:
5
i
j
:
:
:
i
i
J
57
of
2
0
l
95
Y
+
$
$
*
$
S
+
4
+
!
+
4
l
l
*
9
3
t
+
i
;
9
9
!
f
,
9
t
+
+
i
t
i
+
t
l
$
$
+
+
+
$
;
!
9
$
s
s
ln
q
q
q
q
q
q
n
l
q
q
q
q
q
q
q
q
a
q
n
q
q
q
q
l
n
n
q
q
q
q
q
q
q
6
q
6
q
q
q
q
q
q
q
q
q
o
q
q
9i
9
9
I
1
9
i
9
!
!
L
!
!
I
9
.
L
6
i
I
I
I
9
!
I
I
I
9
!
9
9
I
I
1
r
n
!
!
n
I
88
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
5
8
8
3
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
9r
q
9
9
i
i
58
8
5
8
8
8
€3
3
€
S
3
3
3
3
€
€
3
3
€
3
3
€
€
3
3
€
8
S
€
€
3
€
t
€
E
€
€
€
3
€
3
S
€
3
8
€
3
3
€
€
3
3
€
3
8
€8
3
3
t
E
8
3
8
3
3
3
E
3
3
3
3
E
3
E
E
a
E
3
3
3
3
C
3
8
3
3
8
E
8
3
8
3
a
8
3
3
8
3
3
3
3
8
3
3
E
s3
I:;
tt (J
0
!E8.
9
Q
-o
6
o
r
ra
a
a
a
!
9
!
i
9
!
!
1
9
r
a
i
i
=
i
1
!
!
!
!
1
1
9
9
9
a
!
9
!
9
8
!9
3
!
9
t
r
t
r
a
.
9
e
*
d
-
rr
r
r
r
i
e
i
e
i
e
3
e
a
e
3
e
e
8
e
e
e
8
t
8
8
8
8
t
8
8
t
3
t
8
e
i
e
8
8
8
3
t
8
8
8
3
e
e
8
-€
-
-
6
r-
o
o6
..
.
5
C
,r
=
+
+
rF
-
a
o
i3
i
5
.
-j
-
i
N
d
^
^
N
i
ar
r
.
-
i
e
-€
-
I
f
X
:
l
!
P
!
X
1
-
s
.-
3
i
.
-
o
h
6
i
d
1
h
F
b
F
6
F
d
n
i
F
+
-
d
-
-
n
i
-
:
'
;
6
-
5
6
f
i
-
J
.
:
aa
j
j
j
j
d
d
d
d
;
.
;
;
+
i
*
r
6
6
6
h
6
O
o
O
F
r
F
F
d
-
d
d
d
d
d
d
9
9
9
9
=
=
=
=
!
:
:
!
Fd
F
d
F
ia
i
i
n
!
9
i
9
9
i
9
t
r
t
r
t
r
t
r
i
*
F
*
i
q
.
.
i
q
5
.
.
5
r
r
:
j
i
i
i
^
-
;
i
-
ni
l
n
A
n
n
d
{
n
d
n
n
d
i
n
n
^
d
n
n
d
A
i
l
n
i
l
n
n
i
i
l
i
i
n
n
n
n
n
n
d
d
n
n
n
a
a
n
d
&
d
d
d
ri
q
r
P
?
9
9
n
i
\
q
r
!
r
i
t
i
q
9
q
i
9
88
5
8
t
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
qq
q
q
q
n
q
q
q
q
q
n
q
q
q
q
q
a
n
q
q
q
€6
d
6
€
d
d
€
6
d
d
o
o
€
o
o
o
!i
r
:
9
a
:
a
=
d
!
a
a
i
=
i
-
+
6
d
-
,
tt
t
t
e
E
t
3
8
3
8
8
8
$
8
8
8
3
8
3
8
8
6
r.
66
6
6
h
h
6
6r
d
h
6
6
6
6
h
h
d
h
6
9!
:
a
9
q
:
a
9
a
-
n
q
e
-
n
9
?
-
a
9
e
:n
:
9
-
1
r
9
:
n
:
f
-t
r
6
:
-
a
9
:
a
--
-
n
n
n
i
i
i
n
n
n
a
n
d
a
d
qq
n
a
q
q
q
q
q
q
q
q
q
q
q
q
q
q
58
of
2
0
l
88
8
s
8
8
S
s
5
S
8
8
8
s
8
8
s
8
S
8
8
8
3
r
€
S
sS
r
8
8
8
8
E
8
E
S
S
S
S
8
i
8
8
83
3
3
3
E
3
E
E
E
3
3
3
3
t
8
8
8
8
8
8
3
3
8
3
3
3
3
3
3
3
r
3
8
3
3
99
9
9
9
9
9
9
9
9
9
9
s
9
s
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
:
9
9
9
9
8
64
6
6
6
6
6
6
6
qq
n
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
n
l
l
n
n
q
q
q
q
a
q
q
q
q
q
n
q
q
q
q
q
qq
q
q
q
q
q
q
q
q
q
n
q
q
n
a
l
q
l
l
n
l
q
l
q
q
l
q
q
c
a
q
q
a
q
q
q
q
q
q
q
q
q
q
^A
-
A
^
-
a
a
-
-
-
6
-
-
A
-
-
-
A
6G
6
6
6
6
6
6
-6
N
i
!
I
:
t
!
o
a
j
j
j
j
A
d
d
d
d
;
dd
+
i
=
+o
q
-€
d
-
d
d
6
d
9
9
9
9
:
:
e3
i
3
3
8
S
4
8
3
3
q
€
3
3
q
E
i
g
5
9
3
E
5
E
E
E
E
E
3
E
rS
!Ri;
:EZ='eoaE.
i
'
.?
.e
-
e:
;HU
J'
J
:
:
:
:
-^
^
O
-
6€
€
o
o
*-
6
-
r
r
d
F
-
-.
a
.
5
t
5
5
5
a
a
5
5
5
5
6
6
6
5
5
6
6
6
6
5
6
5
6
d
;
5
d
X
i
d
d
d
d
5
5
t
6
5
d
n
c
I
n
n
n
n
n
n
n
I
I
n
:
:
-
-
-
-
-
-.
'
-
_
-
-
_
-
a
?
q
?
?
a
q
q
1
1
I
q
a
P
e
e
r
*
-€
-
€
6
!9
e
a
a
n
-
9
t
a
Q
d
9
9
-
5
-
.
!
6
-
a
n
-
d
d
d
j
{
+
6a
-
5
N
r
6
r
d
2
2
22
2
2
2
2
Z
Z
Z
2
2
2
2
2
2
Z2
Z
2
2
2
2
Z
>
2
2
2
2
>
>
>
>
?r
r
9
9
t
!
9
9
n
r
9
?
n
n
9
Q
r
n
!
9
n
t
9
9
n
t
9
a
n
i
r
:
n
i
t
:
+
t
i
.
a
a
i
na
n
n
n
n
n
a
n
n
n
9
t
t
n
t
n
n
f
l
ss
n
n
l
!
t
9
n
n
9
t
t
n
l
n
n
n
e
n
n
n
a
n
a
ax
3
e
3
x
e
e
e
3
3
e
3
e
e
3
3
3
x
r
e
8
l
8
*
e
3
3
g!
:
:
:
:
:
E
E
C
T
:
E
E
E
:
g
E
3-
€
i
!
3
5
3
S
5
5
5
3
3
4
3
a
e
=
3
3
r
s
5
a
3
a
e
Nd
N
d
d
d
d
d
ii
i
r
r
i
i
i
i
i
i
i
t
i
r
\
i
r
r
t
F
i
-
a
F
i
a
i
N-
+
r
=
5
F
6d
o
r
d
F
h
i
-
-
3
6
r
r
d
Fo
6
i
d
j
r
88
8
8
8
8
e
8
8
8
e
8
8
8
8
8
8
;
;
e
8
8
8
i
5
a
8
--
-
-
-
-
6
d5
-
G
-
:
5
d-
^
d
F
d
F
22
tr
n
:
1
9
a
n
1
l
E5
€
E
5
E
5
E
E
5
33
3
3
8
g
E
E
E
€
3
3
3
3
€
33
€
€
3
8
€
3
8
!
s
€
d
o
6
€
6
e
o
o
c
6
d
€
5
d
€
€
€
€
€
o
€
6
I)a9
:
1
4
3
.
:
a
n
i
n
i
9
:
t
a
n
:
t
:
!
:
a
:
9
:
--
-
-
-
:
.
i
-
i
a
:
-
:
t
t
n
n
f
tt
t
n
n
n
n
t
59
of
2
0
l
=
E!
qq
q
a
q
l
q
a
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
l
q
q
l
q
q
q
a
q
q
q
q?
?
?
a
t
e
r
4
e
q
f
eq
q
e
e
r
e
e
e
a
e
t
e
e
e
q
!
!
P
f
qe
?
e
a
e
;
d
F
'
a
d
{,
d
€
6
j
-
-'
€
d
i
A
-
d
F
r
o
^
r
6
d
6
i
-
;
c
d
d
d
;
r'
F
a
1!
9
i
P
n
q
Q
-
n
a
1
t
n
9
t
?
q
q
?
-
n
a
1
!
9
9
\
r
q
9
-
i
n
I
1
t
9
?a
?
q
q
q
C
l
q
q
q
-
l
q
q
q
q
q
e
e
q
q
9
9
q
A
e
e
q
q
?
e
e
e
e
q
1
1
33
3
3
3
3
3
3
8
3
3
3
3
E
E
E
8
E
E
r
E
8
3
3
E
E
E
E
E
E
E
E
3
3
E
3
3
E
3
qq
n
q
q
q
l
q
q
a
l
q
q
a
n
a
a
n
l
q
n
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
q
--
;
-
-
-
:
-
-
-
:
:
-
;:
;
d
^
^
n
-
N;
r
6;
d
;
d
e
.
o
d
r
-
N:
-
d6
d
d
d
i
-'
+
r
!!
l
A
a
l
a
a
a
l
l
l
l
l
n
n
l
n
t
a
a
a
n
n
r
a
t
n
a
a
n
n
t
a
n
n
n
l
z
2
2
2
2
2
2
2
2
2
2
22
2
2
22
2
2
2
2
22
2
2
2
2
2
2
22
2
2
2
2
22
2
?t
n
n
?
n
r
9
Q
t
n
?
?
t
t
t
?
t
r
9
?
n
9
9
?
l
r
n
:
n
a
9
:
t
a
9
:
n
fr
{i
l
i
n
i
l
n
i
{
i
l
n
n
n
n
n
i
l
n
n
i
l
n
^
n
n
{
i
l
n
{
n
n
n
n
n
i
{
n
i
d
d
a_a
.a
.z
.:
HO;'
d
ji
_
:
jd
d
n
d
-'
;
-:
e
1
+
+
,
d
;
;
;
5
6
J
6
F
F
r
F
-
-
-
d
d
d
d
d
aq
q
q
q
q
q
q
q
q
q
q
q
q
l
q
q
q
s
6
l
q
qq
a
q
l
q
n
n
q
n
a
q
q
l
n
a
n
q
q
n
q
q
q
q
q
q
q
q
q
q
q
q
q
q
88
8
8
8
3
8
8
8
8
S
8
8
8
3
8
8
8
8
8
8
8
3
S
8
8
8
3
3
8
3
8
3
8
ti
t
i
t
q
i
t
t
t
t
i
i
t
t
t
i
t
t
i
t
i
i
i
l
t
i
t
l
i
i
t
i
i
F
EB
€
€
3
3
3
€
€
3
83
3
€
3
8€
€
3
8
8
3
3
S
€
€
€
3
3
3
€
8
8
ei
l
;
-
-
;j
^
,
d
'
d
n
d
d
-
+
^
-
;i
n
d
a
6
a
d
n
n
d
6
d
a
i
d
d
i
n
d
d
d
F
-
i
d
n
d
d
d
i
d
n
99
t
q
q
q
q
-
n
a
a
9
9
9
i
?
q
q
q
i
q
a
!
9
9
9
l
q
q
q
-
-
n
.n
a
9
:
n
:
t
:
l
a
9
:
n
a
!
:
i
a
?
:
n
:
9
:
t
a
?
:
q
f
::
t
nn
n
n
a
n
i
a
a
a
a
a
a
a
n
a
:
a
t
a
a
:
:
a
a
:
:
:
a
a
:
:
n
:
-i
d
d
d
60
of
2
0
l
.!
a
iJ
33
3
0
C
5
0
E:
?
6
-
-
4
-
q
t
1
a
^
-
-
?9
?
?
o
?
q
:a
9
-
i
a
q
t
1
-
q
9
1
1
q
t
9
a
q
q
9
1
2
2
2
2
2
2
2
2
2
Z
2
2
2
Z
2
2
2
2
2
2
2
2
2
a^
e
;
d
r,
6
6
;
;
;
o
;
r
i
l
r
i
l
d
sE
8
e
i
S
;
F
+
3
i
9
s
t
88
3
3
3
t
3
3
3
8
t
t
E
8
8
3
3
3
E
E
3
E
E
t.
E
.3
.i
EE
o
Et&t
8{t
s8=
.
55
:
j-
,
56
r
'
€
{
6
i
d+
o
dr
d
6
6
o
?-
'
n
f
:
!
9
1
1
9
!
!
!
9
!
!
1
a
1
1
1
1
;+}E
&
,:
J
.j
L
qq
q
q
q
q
q
q
n
q
q
q
n
n
l
q
q
q
n
q
q
q
q
l
l
q
l
q
q
q
q
q
n
q
q
q
q
q
q
l
q
*e
@
{
e
n
*
e
e
t
e
r
q
?
*
a
{
{
e
{
q
q
*
{
a
q
T
a
q
a
q
q
6
!
!
q
q
q
q
q
n-
a
a
a
a
a
a
-
a
a
a
a
n
i
n
a
a
a
a
l
a
n
n
n
n
n
n
n
n
t
n
t
n
n
l
t
n
n
n
30
3
=
C
!
n
!
!
!
!
!
!
9
!
.
1
!
I
I
n
!
9
!
n
9
9
I
9
!
I
M
I
I
n
M
9
!
M
!
In
r
e
l
l
l
r
n
?
{
-
t
9
i
!
l
q
9
:
q
i
c
q
9
q
9
q
n
q
i
l
q
!
:
:
r
1
-
-€
Ot
N
J
;f
=3
;
q
=
x
;
I
i
i
q
q
i
\
i
F
i
E
i
f
r
lf
r
i
f
r
=s
*
a
=
*
+
s
:
R
*
a
r
B
qn
f
i
**
*
r
a
r
a
3
3
3
q
q
q
n
n
6
f
r
fi
Eq
f
r
6
f
i
ss
s
B
;
=
i
;
g
s
a
s
s
a
:t
:
-
i
:
-
:
-
:
6l
o
f
2
0
l
id
d
d
;
r
d
r
d
i
d
d
d
i
d
i
q3
3
3
3
q
i
3
3
q
6
6
!
3
3
iT
i
€
9
i
9
a
t
e
i
e
t
i
e
99
9
9
9
9
9
9
9
9
9
9
9
9
e
dd
d
d
d
d
d
d
d
d
d
d
d
6
d
t*,2
fE,cE}
rd
r
d
d
d
d
d
d
d
d
d
i
d
d
!OAE.
g
.8
.!
_
Q
dd
d
d
a
i
d
d
d
6
d
d
d
n
d
c:
n
9
a
n-
6
F
i
5
n
+
6
r
5
=
!
!
9
5=
Y
:
Y
66
6
6
6
;
d
d
;
d
d
d
r
d
d
+6
6
d
d
h
d
6
{
;
;
d
{
;
d
;;
;
;
;
;
{
;
f
r
6
6
6
6
6
6
::
a
_
_
63
8
3
8
q
q
3
3
3
3
3
3
3
e
3
!
q
3
q
3
6
5
i
A
5
i
!
r
6
6
6
6
S
3
e
3
3
6
3
S
6
8
8
C
6
3
3
3
3
6
6
3
q
3
3
A
€{
*
q
q
P
q
e
r
{
c
q
?
*
q
q
q
e
*
*
{
{
P
{
*
3€
3
3
3
3
€
€
€
€
3
€
€
8
3
€
€
8
€
t
3
B
€
3
€
€
E
S
E
E
€
!
€
S
€
€
€
3
3
3
3
€
3
€
€
S
S
3
8
3
€
3
E3
€
€
E5
8
5
3
3
3
3
3
3
8
3
3
3
3
t
3
3
3
3
3
3
3
=
8
3
t
3
8
8
8
3
E
8
3
i
i
3
8
8
3
3
8
3
3
8
3
3
3
3
3
3
3
3
t
3
€3Int
q
a
!
?
l
q
q
1
9
*
n
e
!
9
9
9
n
-
!
e
1
f
:l
-
a
e
q
q
q
t
l
q
-
9
n
q
!
!
t
9
t
!
a
n
q
+
"
-
6
!
!
n
9
a
a3
R
;
r
3
3
n
A
3
p
3
;
S
;
3
a
5
r
I
s
!
s
q
6
3
i
q
!
a
q
q
4
9
4
€
s
=
4
q
4
=
-
"
;
3
=
3
s
5
:
]
G
c
r
s
6
r
;
G
G
€
€
d
d
d
d
d
d
d
n
d
d
6
0
=
=:
?=
=
=
=
:
:
:
:
:
:
:
!
f
3:
:
9
!
!
!
I
I
I
M
!
I
=
=
=:
x
x
I3
na
n
?
i
n
9
9
n
9
:
?
n
n
:
?
t
a
t
Q
n
i
9
9
n
t
3
9
l
a
9
?
n
n
I
:
t
l
n
:
n
l
9
i
t
:
n
:
a
n
a
i
n
:
n
:
n
.:
-
a
-
i
i
n
n
l
i
l
n
n
n
n
t
l
t
n
n
n
n
t
l
n
n
a
n
n
n
i
a
a
a
t
t
n
n
n
a
n
l
n
n
n
n
a
a
a
a
n
t
a
l
n
l
62
of
20
1
dd
d
d
d
d
d
d
i
dd
d
d
d
d
d
d
d
E8
3
3
8
3
8
E
8
dd
d
d
d
d
d
d
6
qq
q
q
q
l
q
q
q
!!
4
1
!
!
t
!
t
al
?
i
9
t
-
e
9
!*a2
,g5z=>e;:
!E3.
e
Q
;d
i
r
r
d
d
d
+
ae
l
!
9
t
e
a
q
!E
E
A
E
S
E
a
E
E
A
S
E
6
E
A
S
E
E
E
S
a
S
E
T
E
E
E
S
E
E
$
s
E
S
e
E
E
a
a
s
*
4
3
{
3
E
6
a
E
A
a
4
8
q
6
6
6
8
e
5
q
E
--
-
-
-
5o
o
c
o
i
i
.
.
o
c
-
c
5
o
5
i
i
i
5
i
o
=o
o
.o
d
o
o
o
d
5
5
3
i
i
a
3
3
i
-
3
5c
dd
d
d
6
a
d
6
a
6
ln
q
q
n
q
q
q
q
q
a
q
q
q
q
q
q
q
q
q
q
q
n
q
q
q
q
q
q
q
q
a
q
q
q
a
q
q
a
l
q
q
q
q
q
q
q
q
q
q
;
h
h
h
6
6
-d
6
6
h
6
6
h
h
6
6
d
6
6
d
;
v
'
;
;
;
d
d
6r
'
€
€
€
6
d
d
6
d
c
€
o
6
o
35
5
4
-
oo
-
=
-
oo
o
o
o
FF
F
*
6
€
r
0
&-
-
-
A
F
-
-
A
i
i
i
a
a
^
a
i
F
-
-
i
d
-
d
d
99
9
9
9
9
9
9
9
€
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
t
i
9
i
i
i
t
\
t
i
i
r
i
i
i
q
r
i
i
r
i
r
i
i
r
r
i
r
i
i
i
i
€€
€
€
€
3
€
€
3
S
3
3
€
€
3
S
8
8
8
3
3
3
3
€
3
€
3
.
8
€
€
€
€
8
3
3
8
8
3
3
3
€
E
€
€
S
€
€
€
€
3
3
8
€
3
€
€
€
€
€
€
3
8
3
33
3
8
3
3
t
3
3
8
3
8
3
3
8
3
3
8
3
8
3
3
8
3
3
8
8
3
3
8
8
3
3
3
3
3
3
3
3
8
3
3
3
3
3
8
3
3
8
8
3
8
3
8
8
3
3
3
8
8
3
3
3
€;
6
6
6
d
d
€
6
€
€
o
6
d
o
o
€
d
€
d
5€
d
d
6
o
a
d
€
6
6
o
6
5
o
G
d
o
€
@
o
o
d
d
€
6
6
6
oc
.
N
d
r
6
-
F
0
5
e
9
9i
9
t
9
i
!
€
-
9
l
n
?
9
-
-
-
r
t
n
i
i
n
n
i
-
q
-
9
9
9
i
-
9
q
-
9
1
q
n
q
-
n
l
n
.
l
!
-
!
q
a
l
-
1
9
i
:
9
q
:
9
?
-
e
;
;
-.
-
-
-
-
-
-
r
-
6
;
;
r
r
;
-
F
F
;
-
-'
-
:
d:
-:
;
n
;
;
-
e
-
-
d
;
;
;
-
;
;
do
r
6
-
o
*
h
-
-
-
i^
;
d
F
d
o
N
r
6
d
d
:
d;
€
d.
^
;;
d
-
5d
r
d
,
6
i-
6c
i
*
o
^;
h
r
6
i
N
a
o
€
6
-
6q
'
a
*
?
d
<
!
E
q
-
d
n
6
d
a9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
8rEl
x
a
r
:
E
i
l
F
=
R
;
e
E
=
*
s
B
:
3
;
S
;
*
;
E
q
q
Q
E
q
B
a
S
:
f
r
It
=
a
*
3
J
a
S
=
F
B
g
=
a
;
S
=
r
.
G
!
l
E
q
$
i
E
G
E
El
*
+
+;
d
d
d;
d
o
o;
^
s
F;
-
d;
;
d
a.
:
=
=
=
=
=
=
=
A
1:
:
I:
=:
=
=:
:
!
I9
9
:
9
9
9:
:
=:
3
=
=
=
91
1
1
h-
N
c
5
3r
€
6
-
!
O
O
c
o
-
-
I
-
^
i
^i
;
;
a;
+
;
;
;
6
;
;;
.
b
;
€'
o
i
i
i
i
;
;
;
;
;
;
d
d
d
d
o
d
:
:
-
-
^
i
at
a
t
a
n
n
t
n
a
a
a
a
a
a
n
a
:
:
a
a
a
a
:
?
a
a
:
n
a
9
:
a
a
a
a
t
T
:
a
t
n
f
a:
n
a
a
n
a
a
t
l
9
9
9
9
n
9
9
9
9
9
63
of
2
0
l
3C
3
3
C
C
3
3
C
C
3
3
C
3
3
5
0
0
0
3
56
e
i
3
q
i
5
5
i
a
e
6
i
6
q
3
3
q
5
E
3
q
A
3
3
!
3
3
q
6
3
4
3
$
i
6
q
i
i
3
3
5
5
3
a
6
3
6
3
6
S
8
6
6
S
q
6
3
3
3
3
q
3
3
6
3
3
3
ao
3
r
5
54
o
6
6
66
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
--
o
d
@
!!
n
9
9
9
l
n
l
f
9
r
!
!
!
!
9
n
9
9
9
9
9
9
9
r
!
!
9
!
9
9
9
9
!
9
9
q
9
!
o
.
9
r
1
1
n
1
1
1
n
a
1
1
1
a
a
a
l
t
i
1
:
n
a
n
a
l
l
n
!
€€
€
€
€
€
€
€
€
€
€
€
€
E
€
€
€
3
8
€
€
€
€
€
€
€
€
€
€
3
€
E
E
€
€
E
€
€
€
€
€
€
€
3
€
€
€
€
3
€
€
€
3
3
€
€
€
B
B
€
€
€
€
€
€
€
€
€
3E
E
3
3
3
8
8
t
3
3
3
t
3
8
8
E
3
8
8
8
8
8
8
E
E
8
3
3
3
3
:
3
3
3
3
3
3
3
t
3
3
3
3
3
3
-
i
8
3
8
3
E
:
8
3
8
3
3
8
8
E
3
3
3
3
8
3
8
qq
q
-
?
-
:
:
?
Q
q
?
q
q
q
q
q
e
c
-
-
q
q
9
a
-
q
q
q
?
q
q
q
q
{
Q
:
1
-
q
q
q
q
?
?
c
q
q
q
c
q
-
9
?
q
q
q
q
q
q
q
q
q
q
q
q
e
a
!
83
3
8
8
8
8
8
8
8
3
8
8
8
3
8
8
8
8
8
8
8
8
5
5
t
t
3
3
3
5
8
8
8
3
8
8
3
8
3
t
3
3
5
8
8
8
3
3
8
8
8
8
8
3
5
3
5
8
3
3
3
€
3
8
3
3
3
3
FF
T
F
T
F
F
F
T
T
F
F
F
F
F
F
F
F
€
F
3h
-
€
o
o9
6
@
6
6-
i
-
O
rF
G
d
6
6
a
-
6
t
s
5h
6
5
F
F
-
9
e
@
6O
r
r
d
5
9
+
-
'
F-
N
3
*
Od
6
+
-
@€
+
-
6
F
6
d
O
-
o
d
j-
o
6d
d
j;
6
a
o
5N
-
6
F
6
d
d
r
dd
6
i
-
6<
j
d
j{
+
n
r
6
jN
r
o
Fd
.
d
;
d
r
d
je
+
o
-
5
-
d
;
r
;
6
90
0
F
F
r
F
F
F
-
@
-
-
€
@
-6
4
+
*
+
+
i
6
h
h
h
6
a
6
65
^
;
6
6
d
-
6
5
9n
r
3
9
?
9
t
r
t
9
t
9
9
9
r
r
9
r
?
"
"
?
?
?
?
?
q
9
.
?
?
9
.
9
9
?
?
?
?
9
9
9
?
?
9
?
a
t
?
a
9
?
9
9
9
?
?
9
9
?
a
a
:
:
:
:
:
:
:
:
0+
6
-
3
C5
F
o'
^-
+
6
€
r
-
€
6
o
-
d
-
-
+
6
G
r
*
66
6
6
6
4
6
6
6
Fs
E
q
r
s
r
q
e
E
i
q
e
s
A
q
e
s
s
q
s
s
a
s
;
8
;
3
;
q
i
i
Q
E
a
q
E
=
i
l
l
q
i
q
{
i
i
q
{
:
i
E
E
=
E
e
E
=
i
q
F
l
E
.
q
!
:
f
q
E
++
r
+
6
6
6
h
€
6
6
6
d
d
d
i
-
d
d
6
d
d
d
d
9
=
=
9
=
=
=
=
:
1
!
:
:
!
:
:
=
f
:=
!
:
:
:
9
9
9
9
!
!
5
5
3
3
=
=
9
9
q
9
:
ES
!*
A
:E
t
8E
E
-i
-
!OA
Yu
:t
r3.
2
LE
.:
H
!U
64
of
20
1
E
E
:
ts
;
1
aa
a
n
n
n
n
a
a
q
n
n
a
e
a
a
a
a
n
?
q
a
a
a
a
a
a
n
a
a
n
a
a
a
n
a
a
a
a
a
a
n
a
a
n
a
e
a
a
a
a
a
e
n
n
a
a
i
r
a
a
a
a
n
r
i
a
a
a
a
n
a
n
a
nl
q
q
q
q
q
q
q
q
q
q
q
q
q
6
6
€
6
:
:
t
a
+
6
9
€
F
i
t
r
?
l
i
f
?e
c
l
i
e
c
?
t
l
i
€
e
i
Q
t
t
e
i
t
e
c
q
i
e
e
c
4
!
t
P
l
r
P
{
e
P
e
c
-o
@
-
=
;
e
a
-
-
?
r
q
?
t
t
o
q
n
9
q
9
q
r
1
-
a
?
a
:
9
e
n
q
9
t
9
1
t
a
e
i
q
t
:
:
i
e
9
l
9
n
n
9
q
9
c
n
1
d
+
+
+
d
s
d
++
dd
+
+d
d
+
hF
-
i:
-
6
-
-
6
6
d
€
6a
jd
6
6
6
6
6
-5
F+
jd
i6
6
+
i
d
a
;
;
i
d
ad
:
j
j
d
F
dd
a
n
j
dd
66
6
r
=
Y
O
3
O
C
6
6
6
5
i
d;
d
-:
;
d;
-
-
-
d
d
d
d
d
N
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
-
6
d
d
d
d
d
d
d
6
d
d
d
d
d
;
d
d
e
d
d
d
-
d.
.
d
i
o
o
o
d
o
d
d
d
i
:-
-
r
:
j
j
j
N
N
-:
-
-
d
-
-
;
6
-
-
;,
+
,
+
r
r
r
6
d
6
d
;
h
-6
6
6d
6
€
o
€
a
oo
o
o
o
€
o
o
€
o
€
o
€
€
€
o€
€
€
o
€
€
o
o
cc
c
o
c
3
9
c
c
o
oo
o
o
o
99
9
9
9
€
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
e
9
9
9
9
t
r
\
\
9
i
i
i
i
t
r
r
r
i
r
r
r
3E
3
3
3
8
E
3
3
8
3
8
3
3
3
3
8
3
8
t
t
E
t
3
E
E
3
3
E
3
E
E
E
E
E
t
E
E
t
t
E
t
3
3
3
3
8
8
3
3
3
3
8
3
3
t
3
a
3
3
3
3
t
3
t
E
E
E
t
3
E
A
E
3
!UOE.
i
EZ
(J
f.gPsle=
;€1e
;]
-.
;
3
s
5
r
i
Q
s
:
r
;
5
!
q
6
3
n
a
J
8
E
E
E
:
F
€
s
=
i
q
5
=
.
i
3
s
1
}
,
G
*
:
=
G
-
6
d
d
d
?
=
9
9
.
:
=
.
I
s
s
M
I
I
i
:
I
M
I
M
9
9
9
i
i
I
I
99
9
9
9
9
C
I
1
a
66
6
f
r
6
6
;
6
;
;
;
;
;
;
;
;
d
d
a
a
o
o
o
o
:
j
-
:
i
d
d
d
;
;
;
;
+
;
;
;
d
;
;
6
o
€
.
b
d
F
r
F
F
;
;
;
d
6
;
a
;
a
o
c
o
:
j
-
:
d
a&
i
a
r
i
n
&
n
d
d
n
i
n
i
n
n
n
i
A
n
n
d
i
l
n
i
l
n
a
n
a
n
i
l
n
n
d
d
d
n
A
n
n
n
d
n
i
l
d
n
n
e
n
n
n
d
d
d
d
a
n
a
n
d
a
n
o
a
n
e
e
n
e
a
a
d
e
-
3
3
cO
--
3
3
C
3
3
3
0
0
3
3
C
30
0
6
6
6
5
6
6
0
6
n
6
5
6
0
a
O
a
3
3
-
5
3
3
5
rr
e
l
=
a
-
a
c
e
65
of
2
0
l
^-
-
o
o
5
-
c
6
o
N
o
o
6
o
c
6
^
^
-
xa
a
f
aa
n
n
a
a
n
a
a
a
n
a
a
a
a
a
a
a
a
n
q
a
a
q
e
!
n
n
n
a
n
n
a
a
i
a
l
n
n
n
i
n
n
l
n
e
a
i
n
n
i
n
e
n
n
a
n
a
a
a
a
n
q
a
a
n
a
q
a
n
a
nq
q
q
q
q
q
q
q
q
a
n
a
q
q
q
q
q
q
q
q
q
ce18n
1q
q
?
i
?
q
q
9
-
9
q
-
n
n
n
:
9
-
q
a
a
oo
o
o
3
3
0
0
0
3
3
3
3
0
c
a
c
8t
5
8
8
5
8
88
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
5
8
8
5
5
8
5
5
t
8
E
t
5
t
t
8
ii
t
t
i
i
\
i
i
t
i
i
i
t
i
f
t
i
i
i
i
i
i
l
\
i
i
i
i
i
i
i
i
i
i
i
i
i
i
tt
t
i
t
i
i
i
i
i
\
i
i
t
i
f
t
i
i
i
i
i
i
t
i
i
q
i
i
t
i
r
88
8
8
3
3
8
38
3
3
a
t
E
3
3
3
8
3
E
E
a
r
8
E
3
E
E
E
E
E
3
E
3
3
3
E
3
3
3
8
e
3
3
3
=
3
3
3
3
3
3
3
E
E
e
E
3
E
E
E
E
3
E
3
8
E
8
E
t
8
o€
@
@
6
ii
i
\
i
i
t
i
i
t
i
i
i
t
i
t
i
i
i
i
i
t
i
t
i
i
i
t
\
i
t
t
t
t
t
i
i
t
i
i
i
i
i
i
t
rr
9
1
1
a
a
a
q
9
i
1
9
9
1
i
-
?
i
q
-
1
!
:
l
-
9
Q
!
9
n
9
e
i
*
!
e
-
q
q
9
9
n
-
a
n
a
9
-
a
-
n
?
q
Q
9
Q
1
9
-
n
r
-
n
?
1
9
t
n
n
-
;e
;
e
8
i
8
;
;
3
8
;
;
;
;
8
8
3
8
8
t
8
t
e
8
t
8
8
i
a
8
8
8
i
8
8
8
t
e
t
8
3
e
8
8
8
8
8
e
e
e
8
t
3
8
e
e
t
3
t
e
a
e
3
8
8
t
t
e
e
e
--
3
;
t
;
3
$
5
:
,
;
!
5
:
r5
5
:
f
i
*9
4
*
I
3
p
3
E
:
8
3
3
=
p
;
8
=
:
S
E
:
3
!(,
OE.
E
.Z
.!
-
!(,
;:
-:
;;
r
hh
€
;
€
€
F
F
r
i
*d
d
i
4
a
i
a
.
d
i
3
o
:
:
:
r
N
d
i
a
-
;
;
-
+
*
+
a
;
;
-
d
o
o
ij
.
i
j
i
i
n
i;
&
;
;
t
d
t;
5
5
i
d
n
{
a
a
n
a
n
a
a
d
N
n
N
n
N
n
d
d
d
a
e
a
n
a
d
d
d
n
e
a
d
n
d
n
n
d
q
n
n
i
n
d
d
i
i
i
n
i
l
i
n
n
n
i
n
n
n
n
n
^
n
g
66
of
2
0
l
I
e
!
;;
nq
n
n
a
a
a
a
a
a
a
a
n
a
n
a
a
a
n
n
a
n
a
a
q
a
q
a
a
a
a
a
a
a
a
n
n
a
a
n
a
a
a
a
a
a
n
n
n
a
a
n
a
a
a
a
a
n
a
r
a
a
a
a
a
33
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
5
3
3
3
3
3
3
S
8
t
3
3
3
E
t
8
8
8
3
8
E
t
8
3
8
5
3
3
3
8
8
3
5
8
3
8
8
3
5
8
3
8
dd
d
d
N
i
l
i
l
i
l
d
n
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
{
d
d
d
d
d
d
{
d
i
d
d
d
d
T9
Q
1
9
I
q
88
8
8
8
8
8
te
e
8
8
t
8
8
e
e
e
e
8
e
8
e
8
8
a
8
8
8
8
8
8
e
8
8
8
e
8
e
t
8
e
e
e
8
e
8
8
8
8
8
8
e
8
8
8
8
8
e
8
t
8
e
8
8
3p
5
3
;
F
E
F
f
i
FS
5
s
F
3
K
s
F
5
A
i
l
R
3
R
i
l
;
3
3
n
8
s
s
3
;
8
;
3
;
E
i
s
$
E
q
q
E
3
i
f
r
{g
n
E
a
a
E
q
s
i
E
€
E
:
3
E
oo
o
o
o
o
o
o
o
o
o
o
€
o
o
o
o
o
o
o
o
o
€
o
0
0
0
0
0
0
0
0
c
€
o
0
0
€
€
o
oo
o
o
9
0
€
o
o
o
a
o
€
€
o
o
o
o
o
o
o
c
o
€
o
-3
3
3
E
3
E
a
E
t
E
3
E
t
3
E
3
t
E
3
E
e
E
E
E
S
E
E
3
3
E
E
3
t
3
3
3
3
3
=
E
3
3
t
3
3
e
E
3
3
t
8
E
3
t
e
E
C
E
E
E
E
3
E
e
i!
9
9
9
i
i
9
9
1
a
9
q
i
t
i
i
9
i
t
t
i
9
9
t
t
\
9
c
9
i
e
9
9
9
t
9
t
i
i
t
t
f
tt
i
i
i
9
\
?
a
t
<
l
i
i
r
?
t
i
t
q
i
q
88
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
it
i
t
i
i
i
l
i
i
i
r
t
i
i
t
t
i
t
i
i
i
t
t
\
t
\
!
t
P
i
t
t
i
i
i
i
i
i
i
?
t
a
{
q
r
{
"
c
q
9
e
{
!
e
{
-
!
e
e
q
*
{
T
r
aYu
:E
.?
,
.z
.:
Ho'EZ2a
nn
t
l
n
n
n
n
n
n
n
n
=
l
l
a
n
a
a
n
n
a
n
t
:
1
1
a
1
a
1
a
1
a
i
:
1
1
1
a
1
1
n
t
a
!
9
!
n
9
9
q
9
9
9
t
9
9
9
9
6
9
9
9
9
+
d-
d
:
;
6
d
a
d
d
r
€
r
6
j-
r
d
d
d
n
d
d
F
d
d
d
+
6
-
6
j;
;
5
6
d
d
;
h
r
6
i
d
r
6
d
6
i
;
d
t
-
d
!
+
h
d
d
j;
r
d
d
r+
r
-
n
r
6;
b
€
b
n
i
n
n
&
&
;
&
d
d
d
d
d
5
5
d
:
r
j
j
i
i
d
{
;
;
d
;
+
i
{
i
n
n
d
6
bi
;
6
r
r
r
r
&
&
d
-
6
9n
9
9
9
t
9
!
9
9
t
I
n
9
9
9
9
9
9
n
9
9
t
9
9
9
9
9
?
?
?
?
?
?
9
9
9
?
?
9
?
9
9
?
?
9
9
?
9
9
9
?
9
9
q
?
9
q
?
?
9
?
9
?
?
;d;:
:I
cq
q
q
q
q
l
di
d
d
i
d
d
it
i
t
i
i
i
dd
d
d
d
d
d
3E
3
8
8
3
3
it
i
t
J
j
j
1-
Q
i
r
q
i
an
n
n
n
i
a
rj
d
6
6
-
d
9i
q
e
q
e
:
67
of
2
0
1
5E
€
€
E
E
€
E
E
E
E
E
I
€
tq
i
9
i
e
e
q
q
{
q
e
q
t
88
8
8
8
8
8
8
8
8
8
8
8
8
dd
d
d
d
d
d
d
d
d
d
d
d
d
E€
€
E
€
q
€
E
q
€
€
€
q
AE
I
E
E
E
E
E
E
E
T
S
E
E
:)
J
)
J
J
J
j
j
j
j
j
j
j
dd
d
d
d
d
d
d
d
d
d
d
d
-:
-
-
-
a
a
a
-
i
a
-
:
id
d
d
d
d
d
d
d
d
d
d
d
d
6d
d
d
d
d
d
d
d
d
d
d
d
d
di
i
s
:
i
!
!
=
i
:
e
i
xx
x
;
x
x
x
x
x
x
x
;
x
6d
d
6
d
.
d
6
d
6
6
J
G
jJ
;
d
F
6
o
d
{
G
d
d
-
d
dd
d
6
5
5
5
:
:
:
r
a
i
i
q9
Q
-
-
i
-
a
i
a
i
i
i
:
s
E<
3Et{EE6
d
b:
!(,
AE.
r
!.
c
,z.!
I
68
of
2
0
l
E
E3
rr
r
?
:
e
=
3
e
3
!
!
3
3
r
a
!
F
=
3
R
G
5
;
s
8
E
?
e
l
l
E
;
E
?
+
i
:
q
s
5
i
l
F
i
s
;
8
3
5
:
=
*
*
3
;
i
i
q
{
i
E
+
i
:
F
q
i
e
i
::
:
;
:
I
=
i
:
i
i
e
i
s
:
x
r
B
p
:
:
l
s
;
t
t
i
r
i
e
a
;
.
i
a
a
;
G
€
G
B
F
s
i
s
r
a
;
E
s
E
a
;
e
x
s
r
E
i
i
E
E
S
=
:
:
:
=
E
I
I
3:
r
3
8
8
3
3
3
8
3
8
3
3
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
3
3
3
:
8
8
8
8
3
8
3
8
8
3
8
3
8
8
3
3
8
3
E
8
8
8
8
8
8
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
€
-
-
-
d
d
r
d
d
€
-
-
-
-
-
-
-
i
r
d
-
d
-
-
-
ed
4
a
d
d
d
*
d
66
e
o
6
6-
;
-
a
E
E
(
F
E
i
F.
i
F.
F
.
q
q
E
-
F.
F
.
-
-
-
-
-
-
i
-
i
i
i
a
-
-
-
-
F
F
i
a
i
i
i
i
i
i
r
i
i
i
r
i
i
i
i
i
r
i
i
r
i
\
i
r
\
i
t
r
i
i
i
i
i
d6
6
6
6
;
6
d
d
6
6d
6
6
d
h
6
6
h
n
ad
d
d
d
-
a
A
A
A
d
d
d
d
d
?a
p
q
-
n
e
i
q
-
r
1
!
e
i
e
q
c
c
r
l
f
n
n
l
a
a
r
n
e
a
c
q
e
r
r
-
e
t
h
:
e
e
e
i
1
q
"
i
:
l
1
l
!
;
i
i
E
:
=
:
:
:
9
9
9
n
9
!
pE
i
T
F
F
F
F
p
p
F
FF
pF
p
F
F
F
F
FF
F
FF
FF
F
F
F
S+
c
r
r
3
"
r
a
5;
n
a
e
F:
e
;
e
8
?
E
r
5i
i
i
i
i
P
F
F
F
F
PF
F
PF
33
3
s
3
3
3
s
3
3
3
3
3
3
3
3
3
3
3
8
E
3
3
8
E
4
3
3
3
8
8
E
8
8
3
3
3
8
3
3
4
E
3
8
-
E
i
?
!
=
3
=
_
3
=
3
=
3
q
i
i
i
?
i
i
.
3
.
.
E
-
3
E
q
=
3
=
3
-
3
=
E
a
-
{
a
a
a2
e
l
=
=
-
a
a
a
=
!
!
!
=
=
=
=
=
=
=
!:
=
=
=
=
=
=
=
=
=
=
I
=
=
=
=
=
=
!
=
=
=
=
2=
2
=
=
=
=:
=
=
=
!
=
=
3
=
=
=
=
--
-
;
6
;e
B
a
C
e
g
a
i
e
-
-
-
s
x
F
a
*
x
r
s
R
p
p
p
F
s
F
F
r
F
F
e
F
F
S
S
S
t
;
;
;
;
;
;
;
s
s
a
B
s
i
s
*
3
B
B
B
3
3
3
8
E
D
-5
a
o
a
3
5
3
d
a
a
o
o
c
o
o.
c
3
c
--
-
-
&
-
-
-
F
n
-
-
d
A
d
d
-
-
-
-
F
-
-
-
-
-
F
&
-
-
-
A
^
-
i
d
d
^
d
d
ea
a
a
6
d
6
-
-
-
la
q
l
n
n
l
q
q
-
ee
s
q
t
E
{
B
:
s
q
i
r
{
E
E
a
E
E
a
e
E
E
B
q
€
9
3
3
s
€
3
E
-
!
!
q
3
!
=
q
!
q
q
=
:
:
q
.
E
i
i
:
:
l
:
:
9
?
:
-
=
q
?
-
E
.
.
5
-
3
=
A
q
.
E
.
5
aa
s
3
e
g
3
8
r
;
e
5
i
8
;
t
8
3
E
8
S
S
8
5
E
F
B
;
A
$
B
A
5
*
*
E
;
g
A
;
5
8
;
8
r
r
l
3
8
g
;
8
8
r
4
5
E
8
3
8
*
8
t
r
E
3
a
A
E
??
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
?
?
?
?
?
?
?
?
9
?
?
?
"
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
a
?
?
?
?
?
?
dE
E
E
C
E
E
E
E
E
E
E
E
E
E
E
E
E
A
A
I
E
E
E
E
E
E
E
E
E
d
d
i
i
A
A
A
i
&
A
A
A
A
A
A
d
A
A
A
A
A
&
A
&
A
A
T
O
&
T
T
T
d
4
L
&
d
A
A
qE
3
E
f
l
E
E
E
f
i
5
t
f
l
f
r
3
!
a
C
B
n
a
S
s
n
A
f
i
?
n
?
q
:
F
i
6
:
l
?
3
=
F
i
E
;
s
;
3
;
F
$
E
i
i
i
i
i
i
!
r
:
I
.
_
!
q
:
I
?
E
?
t
s
i
a
::
:
:
:
:
:
:
:
:
--
-
-
r
r:
:
:
:
:
:
:
:
:
-:
rr
r
-
-
-
-
!
r
r
r
:
I
i
-
-
:
i
-:
:
u,
I
r
:
:
:
r
:
:
:
11
n
l
a
1
a
1
9
!
n
!
n
9
9
9
9
9
i
i
i
t
t
t
i
i
i
i
i
i
t
t
i
i
9
9
9
9
9
9
9
9
9
n
9
9
9
9
9
9
9
9
9
9
9
9
9
4
1
1
a
1
1
!
!
1
4
1
1
cs
s
D
$
$
s
$
s
$
$
s
$
$
$
g
s
s
s
$
$
s
$
s
D
s
3
$
$
s
$
s
s
$
$
$
s
s
s
$
$
s
s
!
s
$
D
!
s
s
l
s
s
$
s
$
$
$
s
s
$
$
3
s
!
$
s
$
$
-i
!
t
r
r
Q
q
a
a
q
?
l
i
n
a
-
9
-
Q
-
\
€
l
a
l
9
q
i
q
q
n
q
n
-
1
1
-
9
i
a
1
1
9
9
9
*
i
a
a
i
9
e
C
a
q
9
a
c
l
!
i
9
Q
-
9
-
9
n
a3
*
*
e
!
8
f
,
f,
x8
5
s
s
3
3
3
S
3
E
*
8
S
A
3
E
8
A
E
B
r
s
8
5
8
S
3
t
E
!
5
E
3
a
5
&
E
E
A
s
S
e
S
s
E
E
a
S
!
3
d
d
d
-
N
&
A
6
-
-
-
^
A
A
d
^
^
^
^
3
*
a
R
R
!:
al
n
r
!
!
T
-
n
n
q
9
l
9
n
n
i
-
1
9
i
9
t
9
P
i
9
!
a
1
l
-
-
i
-
-
q
t
r
55
d
d
5
;;
6
i
6
5
8
E
8
6
5
I
5
E
5
5
6
€
o
o
aUOE.
r
_a3.
2
.:
cQ
I:
i
'
o
:
5
:
d
+
6o
r
F
F
6.
6
6
*
-
-
6
-
-
-
6
6
€
a
6
6
d
a
t
'-
]
=
6
^
d
?
i
-
i
a
+
9
!
9
l
9
6
n
l
h
h
6
h
6
6
6
6
.
.
a
6
6
a
6
6
6
6
6
6
6
.
.
.
.
a
6
6
G
o
h
n
h
l
9
o
,
dd
d
d
d
N
d
d
N
d
ss
s
s
s
s
s
s
s
s
s
g
s
B
B
s
s
s
s
s
E
s
s
g
g
B
g
s
B
E
s
s
E
g
s
s
s
B
s
s
B
s
g
g
g
g
g
g
9
g
g
g
B
9
9
g
g
B
E
g
B
g
E
E
E
g
g
g
E
cc
i
i
i
.
5
5
o
5
5
d
i
6
a
d
d
a
a
a
a
o
a
o
o
33
=
=
f
r
g
3
K
E
9
A
E
8
G
€
€
S
S
S
E
E
A
S
S
F
S
F
F
F
F
F
F
T
S
S
R
S
F
R
F
F
F
F
T
F
F
P
F
T
F
F
F
B
F
F
S
F
F
F
F
F
F
F
P
F
T
T
S
F
=5
5
-
:
=
F
N
i
l
d
-
-
-
-
-
n
-
a
-
-
-
-
h
&
-
A
-
n
i
l
d
-
-
d
d
N
fS
5
s
c
o
j
i
;
.
;
c
;
J
J
a
J
J
j
i
a
a
J
c
.
.
c
i
i
o
o
o
i
3
3
3
c
i
-
i
d
s
d
o
c
d
i
d
J
d
d
o
o
-
o
c
d
i
d
d
o
d
d
d
d
d
o
o
:
c
a
,EEsE
!i
69
of
2
0
l
ii
i
€
a
{
q
i
3
I
5
A
q
q
E
N
5
s
F
q
€
q
!
q
&
;
E
i
E
i
5
3
S
q
E
3
€
s
r
c
?
n
i
g
E
3
3
s
3
e
=
I
=
3
q
E
=
f
*.
3
n
3
6F
5
:
;
;
F
d
j
d
r
6
d
o
-
i+
o
d
o
-d
'
6
r
,
a-
-
-
-
d
-
^
;
;
-
a
66
o
3
€
Fn
t
s
-
-
-
-
-
6
-
r
6
i
a
o
-
d
5
o
:
Nd
d
a
n
i
;
d
-
6
dR
d
d
A
N
N
d
d
d
A
*
n
d
A
&
a
d
d
d
i
l
n
9=
=
:
=
:
i
.
3
-
3
_
3
_
8
.
3
9
.
3
?
?
I
q
q
3
E
E
E
3
E
E
3
3
E
8
t
t
t
3
E
3
3
E
3
3
t
e
3
r
3
E
E
3
t
3
e
3
3
3
3
E
a
E
E
s
3
s
-a
-
-
n
d
t
-
d
-
-
-
-
i
d
d
d
d
d
d
d
d
-
d
d
d
d
d
d
t
d
d
66
-
-
-
6-
;
-
-
-
-
d
d
6
;
;
!r
,
:nE::
!d
3
3
3
3
3
33
3
5
=
E
:3
3
3=
3
=
3
3
3
3
3
3
=
3
=
=
3
=
3
3
3
3
=
=
=
3
3
=
3
3
3
:
=
33
=-
33
3
t3
=
=
3
=
3
3
3
=
3
e6
6
-
d
-
a
-
o
6
66
6
6
d
-
-
PP
p
S
P
P
S
F
P
P
p
F
F
S
F
e
F
P
P
P
P
F
F
€
F
p
p
e
B
s
s
p
F
s
B
p
p
p
F
F
B
F
s
s
s
p
F
p
p
p
e
i
F
F
s
F
B
F
i
F
l
F
q
q
q
q
e
q
c
c
q
q
I
a
a
c
q-
-
-
-
3
0
0
c
I
q
"
cq
c
q
?
q
q
l
qq
q
q
q
"
r
e
q
q
t
i
i
i
t
9
9
I
-e
;
e
r
F
e
-
e
4
e
d
6
e
.
;
;d
_
_
_
-
-d
-
-
-
6
--
d
-
a
-
-
-d
-
€o
-
€
-
-
a
-
-
Ud
-
-
-
-
-
-
-U
d
U
U
U;
i
;
xi
*
i
i
i
{
i
i
i
x
i
i
i
E
x
.
i
E
e
n
:
x
h
i
i
;
E
i
E
i
;
;
6
i
;
i
;
;
E
i
i
i
n
a
;
i
'
l
$
i
l
i
*
i
i
E
i
a
*
E
!
*
i
:9
1q
1
9
9
i
q
Q
q
?
?
i
c
q
-
q
Q
?
t
l
a
l
n
n
l
l
a
a
!
9
1
9
i
6
q
e
?
9
;s
3
g
€
H
g
€
e
3
g
g
s
€
€
3
€
€
€
€
€
€
€
€
€
€
€
€
E
€
3
€
€
€
€
€
€
€
!a
!
a
U5
5
5
U
E
E
E
t
s
E
t
s
.
'
€
TT
F
N
F
F
F
F
F
F
-
-
t
s
F
F
t
s
F
F
F
-
F
F
F
F
F
F
F
F
t
s
t
s
t
s
t
s
t
s
F
F
F
F
F
F
F
F
F
E
6
h
6
6
s
6
d
6
6
6
6
6
d
6
h
h
5
6
6
6
6
6
;
dd
d
d
N
d
n
d
N
d
d
d
d
d
d
N
d
d
a
d
d
d
d
d
i
l
i
l
d
n
n
n
i
l
n
a
-
A
a
n
l
€
3
s8
9€
I
s
s
s
I
I
s
s
s
s
s
s
B
g8
3
*
s
s
s
s
€
BB
*
s
I
s
I
s
s
I
gs
s
**
*
s
s
p
s
s
ts
g
i
s
s
*
x
x
*
g
s
t
i
33
3
s
s
F
s
E
S
S
E
3
3
3
3
3
3
3
F
i
3
i
:
i
i
3
3
8
3
:
8
3
s
3
3
E
3
3
s
E
E
3
3
3
E
s
F
B
E
B
s
s
s
B
B
i
E
B
E
F
E
s
d
-
4
-
n-
*
-
d
d
6
d-
d
d
d
d
d
d
€
dd
n
a
a
€
-
d
-d
-
-
id
-
-
-
*
n
d
@
-
-
d
d
d
d
@
da
d
-
OA
Yu
!E
.8
.=
a:
.:
HU
F-
-
F
-
-
6
&
-
@
&
&
-
-
-
-
-
n
-
-
t
s
6
6
*
-
;
_
€
;
d
&
b
a
_
_
_
&
d
d
_
b
5
-
&
-
-
n
?
i?
?
?
?
?
?
?
?
?
i
?
?
?
?
?
?
?
e
?
?
?
c
9
?
?
9
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
t
+
c
i
i
c
a
+
i
i
s
-
f
;
;
;
;
*
E
I
8
*
I
5
E
3
s8
s
r
r
:*
*
A
E
EH
f
A
HE
€3
3
=
e
€
:
=:
3
8
€
=
g3
;
€
Ea
€
:
:.
:
e
:
B
::
:
=
;C
3
::
G
=
n
n
i
d
nd
N
dn
d
d
dN
N
^
dd
d
^
d
dd
d
^
^
n^
^d
d
^
d^
A
d
n
^{
d
i
i
i
;
d
d
d
^^
^
;
;
;
:
;
:
;
:
Ei
E
E
E
!
:
s
:
,
9
B
i
d
!
a
:
a
:
i
:
a
!
a
i
a
:
a
!
a
E
E
g
!
d
i
i
!
i
!
i
!
i
!
i
!
d
:
d
g
g
g
i
i
E
E
E
E
E
g
s
g
!
i
!
,
5
!
i
g
:
d
:
g
g
g
g
E
g
g
g
g
g
g
B
B
c
g
Ft
s
i
n
F
n
F
t
s
F
F
F
t
s
t
s
F
F
F
F
F
t
i
F
F
F
F
r
F
F
F
i
l
t
s
r
r
t
s
F
F
F
F
OO
L
d
A
d
[
&
A
T
A
A
T
T
A
A
A
&
d
d
d
E
E
E
E
E
d
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
,
d
d
d
E
E
E
E
E
E
E
e
E
E
E
6o
A-
6
o
n
a
6
.
d
+
r
i
=
{
+
6
:
^
+
6
-
-
i
6
-
n
+6
-
t
+
h
-
d
=+
+
+
6
6
;
6
o
6
6
J
r
F
F
r
;
e
;
;
;
;
6
5
;
o
;5
r
r
r
i
n
i
l
d
I
;
;
;
;
++
;
;
-
;
;
;
;
;
;d
d
F
F
*
a
-
a
;
;
.
n
r
n
n
n
r
n
n
I
n
I
n
n
n
n
I
n
n
a
n
I
|
*
i
-
-
-
-
n
I
n
n
a
r
-
i
e
i
i
i
i
n
n
n
i
-
-;
-
6
6
6
-
s
-.
a
--
i
:
:
:
:
l
i
t
t
i
t
:
:
j
j
n:
n
P
9
n
n
l
q
q
E3
E
E
E
8
3
E
3
3
d6
6
6
d
d
d
d
d
11
1
9
!
9
9
t
t
t
:l
n
a
l
I
n
t
f
l
I
9r
9
!
I
C
-
i
i
?
nn
-
;
d
-
d
t
d
;
F
YY
Y
I
Y
Y
Y
Y
Y
Y
99
!
!
!
9
n
9
1
!
88
8
8
8
S
3
8
8
8
8
dd
d
d
d
i
t
-
d
&A
A
A
&
C
E
A
A
A
70
of
20
1
tE
8
E
E
t
t
E
8
E
3
g
8
E
t
E
E
E
E
3
E
3
3
3
E
3
3
3
3
3
3
3
8
3
3
8
3
8
3
3
E
E
3
3
3
E
E
E
E
E
E
t
E
E
3
E
as
a
s
s
c
t
c
a
o
li
i
t
i
i
i
t
l
t
i
t
i
i
i
i
i
i
i
l
t
i
i
t
t
i
t
i
t
t
i
i
\
t
ii
i
\
i
i
i
t
t
t
i
i
i
\
t
i
i
i
t
f
i
i
t
q
q
q
q
!
q
q
?
q
ai
i
i
i
i
i
i
i
t
i
9
I
I
9
I
I
i
i
i
t
t
t
i
t
i
i
q
i
i
i
i
i
i
i
9
\
i
i
9
9
9
9
I
9
9
9
Ii
i
i
t
t
i
t
9
9
l
t
n
!
9
9
9
9
9
!
n
n
n
t
n
a
t
n
t
:
?
q
i
9
9
9
n
l
n
c
c
q
q
q
q
P
q
€
i
9
9
1
!
a
1
1
ee
{
e
\
i
t
t
t
i
i
\
r
t
t
i
9
9
9
9
9
9
9
9
9
9
9
1
n
9
!
!
!
9
9
??
?
?
?
?
i
"
?
?
t
?
?
?
?
?
?
?
?
?
?
c
?
?
?
?
q
?
?
c
?
?
?
?
?
a
a
?
?
?
?
?
9
9
q
?
l
?
c
a
?
e
c
?
?
?
I
!-
n
'
x3
iee=
}E
f:
qq
q
q
e
{
Q
c
a
e
l
r
e
a
r
q
q
r
t
i
i
i
i
i
t
i
t
c
?
e
c
q
n
q
q
q
q
?
q
q
q
q
a
q
n
q
q
q
q
c
€
i
i
i
i
\
99
9
!
9
!
9
!
1
1
1
1
1
1
1
n
l
n
l
r
n
f
n
?
a
i
?
-
1
n
i
1
!
q
Q
q
q
n
9
a
i
{
n
!
:
9
q
9
4
-
-
-
!
n
q
q
i
!
!
1
q
?
l
t
i
i
q
q
9
n
n
?
9
a
I
?
a
ll
n
n
n
n
q
n
n
n
r
q
n
n
n
n
n
q
n
n
n
n
n
n
n
n
n
l
l
t
l
l
n
n
n
t
n
n
l
t
t
l
t
n
t
n
l
t
l
l
l
l
n
c
t
l
Ps
E
e
*
e
E
r
e
e
e
*
*
*
e
e
3
8
8
8
8
8
8
8
t
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
t
8
8
8
8
8
8
8
8
8
8
t
8
8
8
8
2
2
Z2
2
22
2
2
2
2
2
2
2
2
22
2
2
2
2
2
2Z
Z
2
2
2
2
2
2
2
2
2
2
2
22
2
2
2
2
2
2
2
2
2
22
2
2
2
2
2
2
2
AA
A
A
A
A
d
T
T
q
A
A
d
A
A
T
I
T
A
A
A
A
A
A
A
A
&
{
A
A
A
A
A
&
A
T
A
A
A
A
A
A
A
A
4
A
A
A
A
A
A
A
&
A
A
A
9S
a
9
?
n
n
!
Q
t
a
9
9
C
n
I
a
n
a
n
?
s
n
9
?
i
a
9
:
n
a
9
:
n
a
n
:
$
i
9
:
t
a
t
:
t
a
r
:
n
a
9
:
n
?
9
::
I
J
I
t
:
!
!
!
i
I
J
:
J
i
-:
:
-
-:
-
-
-
-
-
:
-:
::
:
i
:
:
-:
-:
-
a
-:
-
-
Yu
!E8.
9
Q
et
q
Q
c
n
l
a
9
9
q
e
?
n
9
!
a
9
€
q
9
-
l
n
a
-
t
!
t
i
9
q
a
1
-
-
n
n
!
9
!
q
n
q
i
q
p
Q
-
n
n
1
i
:
n
-
oo
o
o
€
o
o
o
o
o
l-
-
-
:
l
f
l
n
-
:
-
-
i
n
1
:
-
n
l
n
n
l
i
i
i
t
n
n
l
n
t
n
t
n
n
n
n
i
n
i
n
n
q
l
n
n
n
n
n
l
n
t
n
l
t
n-
q
r
9
9
a
n
-
n
1
9
9
a
r
:
33
3
3
8
3
3
8
3
3
3
t
3
3
8
E
11
1
a
t
n
n
t
n
1
-
:
-
9
?
?
9l
l
a
a
a
n
a
n
n
-
:
-
q
9
a
td
5
d
a
d
d
d
d
d
5
d
5
d
5
d
6j
6
6
d
F
d
d
+
d
+
d
:
i
d
6
nc
n
n
n
q
n
n
n
c
n
t
l
l
n
t
c?
q
9
-
1
:
!
9
1
a
a
!
9
i
T
r
!9
9
9
p
9
9
9
9
r
9
9
9
9
9
r
5
oo
o
@
a
a
a
o
o
€
a
€
YY
Y
Y
Y
Y
Y
Y
Y
Y
Y
Y
I
I
T
Y
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
nl
t
l
i
n
l
n
l
l
t
l
n
n
n
CO
E
E
A
O
T
A
E
O
A
q
A
A
&
7l
of
2
0
1
,a
h
_
F
-d
+
o
-
+j
d
h
F
-
o
d
,
6
d
i
-
d
6
F
a
j
d
,
d
-
d
d
+
63
O
O
O
O
O
-
i
-
E8
8
3
e
8
8
E
t
t
e
3
8
8
3
3
8
3
3
E
8
C
3
8
a
E
E
E
E
8
E
A
3
E
E
E
8
E
E
E
t
3
3
E
E
E
E
E
8
8
3=
EIE)
it
i
t
t
i
i
i
t
i
i
\
i
i
t
i
i
i
i
i
l
i
t
i
t
i
t
i
i
t
i
i
t
i
i
i
i
i
t
i
i
i
i
i
\
\
i
i
i
r
i9
\
9
9
9
9
9
9
i
i
9
t
i
i
i
t
q
C
C
C
{
q
q
q
q
q
a
C
q
?
?
a
?
C
-
-
:
q
1
1
-
a
i
t
n
n
f
tq
e!
n
q
a
a
9
n
i
9
q
a
e
9
r
9
l
q
q
c
!
i
q
9
q
i
q
e
q
9
!
n
!
n
1
n
l
9
q
?
a
r
a
q
a
9
l
c
9
q
9F
-
-
O
-
r
€
r
C
3
!E.
i
.a
.i
O
?i
?
?
?
i
?
?
?
i
i
i
?
?
i
;
i
i
i
i
i
?
i
i
i
i
;
?
i
i
i
i
?
?
i
?
i
?
i
?
i
?
?
?
?
i
?
i
i
i
o_
N
r
o
oo
o
€
o
€
o
o
6
0
't
1
".
)
.
j
1
I
a
q
t
I
a
I
a
a
a
.,
{
".
}
a
?
a
a
.t
.
t
.
}
1
t
I
.t
t.
:
1
?
a.
t
I
I
I
a
1
q
q
a
a
1
f
a
a
I
II
I
:
I
I
i
I
I
i
!
i
i
I
I
F
^
5
^
E
^
E
^
s
I
q
I
q
q
^
5
I
^
E
I
E
p
I
q
q
I
^
8
^
E
^
3
^
E
i
^
E
I
^
B
^
E
-
E
-
E
:
E
!
-
5
q9
9
9
9
!
!
9
9
i
{
q
i
t
9
9
t
-
q
q
Q
?
:
Q
q
a
l
l
9
9
9
t
P
i
i
e
I
q
e
t
e
e
e
q
q
*
l
i
{
q
e
nt
l
n
n
n
l
t
l
t
t
q
q
t
t
n
l
n
q
n
t
n
l
n
n
l
n
q
n
n
l
n
l
l
l
n
n
n
n
n
l
l
l
l
n
n
l
l
t
l
-?
n
q
t
9
l
l
t
q
q
n
*
i
9
i
i
q
t
t
i
P
?
q
?
\
c
i
q
q
9
!
65
6
6
5
5
6
.
;
6
5
5
e
E
;
;
Z
E
;
6
;
5
9n
n
n
?
n
n
:
?
n
n
!
?
t
n
I
?
a
n
I
?
n
?
9
9
n
a
t
:
t
a
9
:
t
i
t
:
n
t
n
:
n
a
n
:
*
:
n
:
n
a9
9
n
q
:
q
{
i
9
1
q
-
q
I
t
9
1
a
-
q
q
3E
3
3
3
3
E
3
E
E
E
E
E
t
3
E
8
3
3
3
E
A
i\
r
i
i
i
i
i
i
i
i
i
i
r
i
i
i
i
i
r
i
i
99
9
9
e
9
9
9
!
9
!
!
9
9
9
9
9
9
9
9
9
r
F
ii
t
i
i
t
i
t
i
i
i
t
t
i
i
c
€
q
q
a
e
q
an
a
a
l
a
a
l
a
a
n
n
a
!
n
:
a
a
:
a
:
a
q9
9
A
9
C
e
q
l
q
!
q
?\
a
!
9
9
9
9
a
C
C
q
q
q
a
a
€
i
9
9
!
r
nn
t
t
n
t
i
l
l
n
n
n
n
l
l
i
n
n
n
q
n
n
i
t
i
i
t
i
i
I
i
E
i
I
i
i
i
E
E
-€
E
^E
i
-E
72
of
20
1
oo
€
o
o
o
o
a
G
EE
E
E
8
E
E
t
8
E
3
T
3
3
3
3
3
3
8
E
3
t
3
3
E
3
E
E
E
E
3
E
3
E
8
E
E
E
E
E
3
E
3
8
--
r
d
d
@€
-
-
r
d
-
i
-
-
&
-
-
n
-
d
n
d
n
d
€€
€
i
-
d
d
d
n
ii
t
i
i
t
\
t
i
i
t
i
i
i
i
i
i
t
i
i
l
i
i
i
i
i
i
i
t
i
i
\
i
f
\i
t
t
i
i
t
i
i
i
-:
:
-
-
-
-
n
n
l
l
n
l
t
a
n
n
i
n
n
-
a
a
t
n
I
l
a
l
a
!
a
9
1
1
1
1
a
1
n
1
a
n
n
!,;
9
9
1
!
9
9
9
t
i
i
a
q
q
q
a
?
Q
q
q
e
l.
.
]
c
q
-
--
-
-
-
?
q
q
q
q
-
I
a
1
n
I
I
I
nq
9
a
?
9
9
4
<
\
a
9
q
!
q
!
1
l
q
a
r
1
a
q
-
1
P
9
9
q
n
-
n
a
i
1
q
l
9
!
9
n
n
9
:q
q
-
i
-
n
l
a
a
l
1
a
I
q
a
9
!
h
n
9
!
9
9
9
9
9
9
i
\
i
i
i
i
9
9
9
9
i
a
a
n
n
n
66
€
d
d
6
6
6
o
€
o
o
@
€
€
€
6
€
d
!UAYu
!E
.?
,
.z
I
99
1
n
1
1
9
1
!
a
n
n
-
l
P
t
I
t
?
Q
i
9
t
q
r
?
t
n
q
q
a
9
9
a
-
Q
q
9
a
a
n
n
l
a
ra
a
!
!
=
a
1
=
f
!
=
f
a
a
a
l
i
-
i
33
3
€
G
B
8
€
€
€
8
€
3
€
e
e
e
e
€
3
3
3
3
3
3
8
3
3
3
3
e
3
8
3
3
€
3
e
e
€
3
e
G
8
nn
n
l
l
-
-
n
n
l
i
n
-
n
n
i
i
q
n
n
n
s
q
t
l
n
l
n
l
t
n
i
l
l
l
i
i
n
i
q
n
n
n
l
o€
o
€
o
o
€
€
€
o
o
€
€
€
o
a
G
6
6
d
i
l
d
d
n
d
^
i
d
d
N
^
N
d
^
^
d
d
n
d
^
N
d
i
^
d
d
^
^
N
d
d
d
d
€E
5
8
E
5
8
5
E
E
E
E
E
5
E
3
8
E
€
5
€
5
5
€
€
5
8
r
E
8
5
5
3
8
8
8
8
8
8
8
5
8
8
5
+
+
+
+;
dn
n
G
q
o
o
ri
l
r
;
i
J
;
;
d
A;
;
i
--
i
N
nd
;
;
n
'
n
,
;
;
+
nl
n
n
n
n
l
n
n
n
l
l
n
n
n
e
n
n
f
l
na
a
n
t
!
a
n
r
a
9
a
a
a
a
n
a
a
n
n
e
i
t
i
a
6r
d
o
i
N+
G
d
5
-
-
;
6
3E
3
3
8
=
8
3
3
3
3
E
3
3
3
3
3
3
E
e
3
8
8
8
8
8
3
3
n-
€
r
&
€d
d
d
-
d
*
-
i\
i
i
i
i
t
i
t
\
\
\
t
i
t
t
i
i
i
i
i
t
i
i
i
\
t
i
nn
n
n
1
1
1
1
1
a
1
1
1
1
1
1
1
A
a
1
1
a
a
n
n
n
1
-
11
1
1
1
1
1
4
1
1
!
n
t
l
n
?
ii
!
a
a
a
-
e
9
t
n
q
q
9
9
9
?
Q
9
!
t
!
-
!
q
:
-
?
td
d
d
d
dd
d
-
d
d
d
*
-
-
i
d
€
-
i
d
d
d
d
d
^
d
d
d
d
d
d
d
^
N
N
d
d
a
N
N
N
83
8
8
8
8
t
8
S
8
8
8
8
8
8
8
8
8
8
8
8
3
t
8
8
S
8
8
Si
o
d
d
dd
o
o
3
i
i
d
o
d
FF
F
F
F
t
s
t
s
d
nr
n
n
n
n
l
t
n
r
n
n
r
r
i
n
n
q
t
n
n
n
t
t
t
n
i
n
ll
l
l
l
n
l
l
n
n
i
r
n
a
q
a
a
n
q
n
a
n
a
n
q
i
n
n
tn
:
n
a
t
i
3
a
9
:
i
a
9
:
n
a
9
:
i
a
9
:
n
r
9
:
a
aa
a
:
:
:
-
:
:
:
:
-
:
a
n
n
t
t
l
n
n
t
n
f
l
ti
n
n
73
of
2
0
l
c3
n:
q
e
l
9
1
a
-
?
e
t
!
l
n
i
q
a
9
t
n
t
Q
q
n
9
9
r
r
Q
q
t
9
a
q
:
9
q
FF
r
r
-
-
-
6
8E
E
t
8
I
8
3
3
3
3
t
E
E
E
3
E
3
3
3
3
E
E
E
3
3
E
E
E
E
E
E
3
E
E
E
E
3
d
-,
-
dd
-
-
a
€
-
id
d
-
-
e
-€
dd
-
-
-
dd
d
-
b
nq
n
n
t
i
n
q
n
q
n
n
n
n
q
i
n
c
n
n
t
t
n
n
n
n
n
t
l
l
t
n
n
n
t
t
t
n
aL)
A
!E
.8
.e
-
E:U:EI
tt
t
t
t
i
t
i
t
9
9
9
i
i
i
i
q
?
q
n
c
a
i
i
i
i
t
i
t
i
i
i
i
i
?
r
r
q
q
88
8
8
8
8
4
8
8
8
e
6O
6
6
d
O
6
d
d
6
O
6
O
O
G
O
.
o
o
o
o
o
o
o
11
1
1
4
a
1
4
:
n
!
n
l
9
4q
9
9
1
1
!
!
9
n
9
9
9
t
q
n
t
-
1
a
n
-
q
i
{
q
q
q
q
i
9
9
i
i
e
e
\
9
==
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
-
=
=
=
:
?
Q
?
=
=
Q
?
?
?
e
?
?
a
?
?a
6
d
6
6
;
d
d
d
;
d
;
h;
;
6
;
d
h
6;
6
6
6
d
d
d.
;
qn
q
q
q
c
n
q
c
{
{
*
e
*
q
c
q
q
q
q
q
q
q
{
q
?
q
r
r
I
r
?
e
e
f
f
r
9
:
:
:
:
:
:
:
:
:
"E
:
5
:
:
E
:
:
:
:
"E
5
:
:
:
"€
:
"E
:
:
:
:
:
:
"3
:
5
:
:
nn
l
n
l
n
n
f
n
n
n
n
t
n
q
n
n
n
n
i
l
l
n
i
n
q
n
n
l
l
n
n
n
n
l
f
nn
??
?
9
?
"
?
?
?
?
?
?
?
?
a
?
?
?
?
?
?
?
?
t
i
?
?
?
?
?
?
?
?
?
?
?
?
?
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
q
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
?n
n
9
9
i
r
r
?
:
r
t
9
n
9
9
9
n
r
n
?
n
e
9
?
n
n
!
-
t
:
9
:
n
:
!
:
i
nn
n
n
i
l
n
;
n
n
^
n
n
n
n
n
n
r
d
d
a
d
n
c
n
a
d
J
d
n
a
N
d
d
d
d
N
n
N
9C
?
1
:
q
n
i
1
q
9
{
q
n
q
9
n
t
r
e
a
a
l
l
a
:
9
-
-
9
t
1
f
aa
n
1
-
38
3
3
3
3
3
3
E
3
3
8
E
T
3
A
E
3
3
t
t
E
3
E
3
E
E
E
E
E
E
E
E
E
11
a
n
a
a
a
l
n
:
-
:
q
q
q
?
:
:
l
i
t
n
l
l
-
n
dd
d
d
d
*
a
.
,
d
*d
d
-
d
d
d
*
*
ii
i
l
i
\
i
i
i
i
i
i
i
i
t
i
t
t
i
i
i
i
t
i
t
i
t
i
i
i
i
t
t
\
an
a
a
a
a
a
a
a
n
n
i
n
n
q
n
l
n
-
n
n
n
i
i
-
:
Q
?
9
?
?
?
n
q
n+
t
l
-
-
-
?
-
?
?
e
q
q
"
q
q
a
e
?
?
a
€
c
i
t
9
9
9
9
9
\
r
l
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
i
i
i
p
a
n
*
e
i
i
i
9
9
9
9
9
!
9
oa
o
a
€
ar
n
?
q
{
a
a
1
9
n
q
?
t
!
n
l
n
q
c
q
9
9
9
i
Q
q
q
q
q
a
q
r
Q
nn
q
q
e
n
n
n
n
n
n
n
l
l
-
-
-
:
1
l
a
:
-
1
1
1
i
-
-
-
-
1
i
l
at
a
r
r
i
c
9
9
9
i
q
9
9
1
!
n
!
n
q
l
q
t
l
r
:
1
!
q
n
1
a
i
!
ll
n
n
n
l
n
n
t
l
i
q
n
q
n
n
n
n
n
n
n
n
n
l
l
l
n
f
ln
n
n
n
n
E'
d
'
-
d
i
a
i
Y
Y
a
Y
Y
Y
i
Y
i
?
?
?
i
;
?
?
?
;
i
?
i
i
?
?
i
i
i
i
i
?
?
€€
9
0
0
a€
c
s
6
€
G
€
s
i
d
d
d
^
^
d
d
A
d
^
^
d
d
{
{
d
N
N
N
d
d
d
d
^
^
^
d
d
i9
i
9
9
9
!
9
9
t
r
9
9
9
9
9
p
9
p
r
9
9
9
9
9
9
9
9
9
9
9
9
9
9
TF
T
T
t
s
F
t
s
F
F
tt
n
n
i
n
n
n
n
i
n
n
n
l
n
l
n
t
n
f
tq
n
n
i
n
n
l
l
n
l
t
n
n
:i
l
9
:
t
a
n
i
n
9
9
i
l
a
I
:
q
*
?
:
t
:
n
-
1
!
!
:
t
:
9
a
a
na
n
n
n
e
a
e
i
a
a
a
n
i
n
a
a
a
a
e
a
:
a
a
l
:
:
a
:
:
:
n
:
:
74
of
2
0
1
88
8
3
t
8
3
8
8
t
8
3
3
8
3
8
3
8
t
8
3
3
3
4
4
,
5
4
t
-
-
;
;
r
;
-
-
d
-
-
-
;
-
-
-
&
!4
I:Ea{i?1
in
19
r
9
A
a
a
q
n
9
9
e
l
1
i
P
?
t
n
a
1
9
9
91
t
r
-
q
q
q
q
q
q
q
q
r
t
a
e
q
q
q
q
q
?
ia
9
9
f
e
l
l
!
9
n
-
i
t
q
1
9
?
n
1
t
q
a
ti
9
:
l
q
i
l
n
n
t
t
n
n
n
n
:
-
?
q
q
a
l
aq
9
!
-
q
q
9
a
q
n
?
q
-
!
9
1
-
!
9
1
q
q
!UA
t.
E
8.
9
(.
)
n!
9
!
1
n
1
1
t
I
?
4
1
:
?
q
l
q
i
i
r
r
q
16
4
;
a
_
1
^
I
n
!
l
q
?
-
-
^
l
l
n
n
n
d
1d
6
d
r
f
!
9
9
L
5
t
t
!
=
a
a
a
*
4
4
2
2
88
8
8
8
8
8
8
8
8
8
8
8
8
8
55
5
E
5
E
E
E
Gt&d
oj
e
;
€
d
i
n
+
6
ja
j.
:
6
d
6
j
n
+
dd
5
d
+
d
r
a
i
;
d
d
d
d
^
+
6
d
a
33
E
t
8
8
8
E
E
8
8
3
3
t
8
8
3
3
3
8
3
8
3
8
3
3
8
E
3
e
3
3
3
3
4
8
3
8
e
dd
d
d
*
-
-
d
d
d
d
nn
4
*
-
-
*
r
-
-
-
-
d
d
d
-
d
d
d
i
-
@
d
-
d
d
d
*
ii
t
i
t
i
t
t
i
i
t
i
i
i
i
i
i
i
i
i
i
i
i
\
i
\
i
i
i
t
i
i
i
t
t
i
i
i
t
Pa
q
q
c
q
c
q
i
-
-
-
-
-
i
-
i
i
n
l
n
q
q
a
n
q
q
n
a
a
a
a
a
q
n
q
l
l
l
1n
?
q
:
-
-
-
-
n
n
l
n
n
n
n
n
n
i
a
n
n
t
:
-
q
q
9
q
q
r
q
i
i
i
i
9
9
9
9
1!
9
l
a
a
r
r
t
t
l
l
-
?
--
d
d
d
i
-
-
-
-
-
i
-
d
-
d
d
d
d
-
t
d
-
d
d
d
d
d
d
d
d
d
d
d
-
{
d
t
d
*
99
r
9
9
9
9
9
9
9
\
i
i
e
e
q
l
e
{
q
q
q
q
q
?
?
?
-
:
-
r
r
n
r
i
r
r
l
n
9q
i
a
:
?
-
n
c
9
q
1
.
9
i
q
i
\
9
a
a
a
q
a
i
9
a
i
t
9
9
9
i
-
n
a
n
9
1
9
9!
a
a
1
.
r
:
n
9
i
l
n
a
l
q
t
t
q
-
n
n
n
9
i
i
9
I
q
:
:
n
1
n
i
9
r
e
?
-
??
?
?
?
?
9
?
?
9
?
?
?
?
?
"
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
a
?
?
?
?
?
?
?
dd
d
d
d
d
d
d
d
d
d
d
N
d
N
d
d
d
N
d
d
d
d
d
d
d
d
N
d
d
d
d
.
,
a1
+
i
,
-
J
f
a
.
}
Ii
l
E
q
E
E
p
!
t
{
I
I
E
I
E
^
5
-
E
E
-
E
^
5
-
5
8
!
^
5
^
5
-
E
^
E
E
E
^
E
^
5
E
C
-
5
:
^
E
E
E
E
ne
n
n
i
n
q
q
n
n
n
q
n
n
n
n
n
n
n
n
n
l
n
n
n
t
c
n
q
n
n
n
l
n
n
n
n
n
n
n
if
i
=E
;
3
;
F
i
n
l
i
i
h
i
F
i
G
i
f
qq
l
f
if
r
:E
$
a
=
a
r
a
=
*
+
n
=
P
ih
i
i
i
a
.
i
{
a
i
a
a
i
h
n
h
:
n
i
a
a
i
i
i
i
t
E
t
t
E
A
a
A
S
S
S
S
S
S
dt
r
l
l
l
J
J
;
l
t
l
i
l
l
75
of
2
0
l
E
E3
Fd
i
!rgF
t.
-
99
a
i
q
q
i
9
1
n
-
Q
*
\
9
83
8
8
8
8
8
3
3
3
t
3
3
3
8
ii
i
t
i
i
i
i
t
i
r
i
i
\
i
ii
?
q
n
?
q
?
-
:
q
q
i
!
1
YT
I
Y
Y
i
Y
Y
Y
Y
Y
Y
Y
Y
Y
dd
d
d
d
d
d
d
d
d
d
d
d
d
d
€q
q
q
q
?
:
t
n
:
t
9
i
f
t
nn
n
n
l
:
!
9
9
9
9
9
9
9
!
dd
d
i
l
d
r
n
d
d
d
r
-
+
d
;
oo
:.
9
.3
.=
.:
HU!{EEd
t
E5
5
E
5
E
5
€
E
E
S
E
E
E
E
;;
;
;
;
+
+
+
d
6
6
d
6
6
6
na
n
a
a
n
n
a
*
a
a
a
a
a
n
NF
d
!
l
,o
6
+
^
-
'
-
6
d
+
-
-
}
€
6
6
i
a
:
6
-
b
d
;
d
5
d
F
6
6
i
l
x
5
6
F
U
+
;
:
5
&
i
l
!
n
N
-
q
q
9
rF
-
r
-
-
L
-
6
;
t
i
;
i
i
?i
?
?
=
=
=
=
=
!
!
n
6a
6
6
n
5
5
.
o
r
a
.
n
r
5
t
6
5
6
d
6
t
d
=
=
=
=
=
=
=
=
=
=
=
=
=
=
33
3
8
8
3
3
8
3
t
8
8
8
3
8
8
3
3
8
8
8
8
8
8
8
3
8
8
8
8
8
8
3
8
8
3
3
8
8
3
3
3
3
3
3
3
3
3
3
3
3
.
3
8
8
3
3
-
d
-
t
-
@
-
-
-
d
-
-
*
-
s
d
e
d
d
.
d6
€
-
d-
d
d
d
-,
-
-
d
-
n
*
e
n
r
d;
;
;
;
;
;
ti
i
i
i
\
i
i
i
i
i
i
t
i
i
i
t
i
i
\
i
i
i
i
i
i
\
i
i
t
t
t
t
i
i
i
i
t
i
i
t
t
i
t
t
i
i
i
F
i
i
r
i
i
i
\
r
ti
-
q
l
n
Q
Q
-
.
l
a
a
1
1
9
9
9
9
9
i
t
Q
q
q
Q
?
9
:
t
l
t
n
n
1
9
9
9
9
i
a
q
n
?
-
-
n
n
n
t
1
9
9
9
p
t
!
?q
q
q
q
q
?
q
q
c
e
q
Q
-
-
-
l
i
q
n
a
q
9
9
9
i
i
i
q
t
a
q
Q
?
-
t
a
a
1
9
9
t
t
e
q
q
q
-
-
n
l
a
1
1
1
n
9
F
-c
-
o
o
__
_
*
_
la
9
e
-
I
,
a
9
\
q
:
n
1
9
i
{
q
-
n
a
9
i
e
?
a
t
t
-
?
-
n
a
!
9
9
q
i
9
9
i
q
q
q
q
-
-
-
-
t
n
n
I
n
n
a
9
9
.
-€
-
-
-
-
-
t
qq
a
r
r
P
?
!
i
i
t
9
9
9
9
r
9
!
r
!
n
!
!
n
!
!
9
!
n
a
1
a
9
9
9
9
9
i
i
r
{
?
a
r
M
q
a
q
?
?
:
:
t
n
n
$S
E
D
E
S
s
S
s
E
S
E
D
D
D
$
E
E
}
S
S
S
E
E
S
E
D
S
D
E
E
S
S
E
S
E
E
E
E
S
S
s
$
S
E
D
5
E
D
5
3
T
3
E
T
*
*
Qt
e
t
?
!
-
q
q
?
a
a
i
9
a
-
!
Q
!
n
q
n
!
i
f
tr
f
q9
l
i
i
t
n
n
9
9
a
t
q
Q
9
a
q
t
t
9
l
:
1
9
n
n
n
a
q
6-
-
€
-
€
6
6
6
-
66
6
-
i
-
-
-
6
o
dA
-
N
d
9A
a
n
l
n
c
q
c
a
a
q
?
e
9
i
9
9
a
1
1
a
n
-
9
:
n
Q
?
q
n
n
-
q
t
9
9
a
q
-
p
9
1
q
n
-
-
i
-
Q
9
p
r
f
ie
p
a
--
=
Q
Q
Q
a
a
a
?
q
q
aa
q
i
1
?
q
a
*
!
?
*
*
4
9
=
€
-E
3
3
3
3
33
3
?
3
;
G
3
3
3
3
3
3
3
3
3
3
G
3
3
3
3
3
E
3
G
r
r
;
E
E
E
6
Ea
a
a
;
;
6
;
;
ga
aa
A
A
a
a
gG
dd
-
d
^
d
d
d
d
F
N
d
d
d
d
&
d
6
dd
d
d
-
dd
a
dd
€d
d
-
r,
i
-
-,
d
i€
-
-
-
€
-
-
6
-
d
-
6
d
d
d
d
-
-
.
@
€
e
€
r
€
6
-
6
d
-
F
e
96
e
9
t
C
O
r
r
a
--
-
-
r
&
&
-
-
6
6
5
-
e
-
-
??
?
?
?
?
?
?
?
?
?
?
?
t
?
?
c
?
?
e
?
?
?
"
?
?
?
?
?
?
i
i
i
i
i
?
?
?
c
?
?
?
?
?
?
?
?
?
?
?
?
?
?
t
?
?
--
:
-
i
F
t
a
f
a
?
Q
9a
-
9
q
€
-
6h
^
€
e
c
6
€@
9
0
0
0
0
0
0
€
o
o
o
€
€
€
€
€
o
6
€
o
s
G
6
6
6
6
G
G
6
G
o
6
6
6
d
i
l
^
^
^
^
d
n
d
N
N
N
d
d
d
d
N
n
d
^
^
d
d
^
n
{
^
N
d
N
^
^
d
d
d
a
n
n
^
n
d
a
n
a
a
;
!!
!
E
E
{
E
C
l
i
!
9
8
8
r
E
8
5
8
8
E
8
E
E
E
E
5
E
8
s
8
r
8
E
S
8
8
8
8
5
8
5
8
8
8
E
E
E
8
8
E
8
S
E
S
5
F6
F
F
F
F
F
F
F
F
F
d
F
F
F
N
F
F
F
F
F
F
F
F
F
F
F
F
F
F
F
!l
i
t
!
!
!
!
!
1
!
!
!
!
q
e
n
l
t
l
n
n
l
i
n
n
l
n
n
n
n
n
i
l
n
l
t
t
n
n
n
n
t
n
n
q
n
q
n
n
t
n
n
t
n
n
n
l
l
n
d
n
n
nn
n
E
3
I
9
9
r
r
n
9
n
9
3
a
n
n
!
9
n
t
9
9
n
9
9
9
t
n
?
?
n
a
n
.
t
a
9
a
n
*
:
:
a
1
a
:
a
a
a
i
i
:
9
-
n
dd
-
6
6
76
of
2
0
l
;;
E3
e
3
8
t
3
t
8
td
.
d
;
d
t
d
@
It
t
i
i
i
t
t
i
n-
Q
e
q
?
e
t
9
nn
-
q
q
e
i
9
!
--
6
-
-
;
-
n
-
<!
:
-
:
q
q
n
9
ln
t
t
l
i
n
l
a
-?
9
9
?
e
A
q
€
l=
=
=
=
=
=
:
:
nn
n
t
n
l
l
a
n
OA
i.
r
.?
.z
EE
!L)qI*q
r
8-
a
'€!9=:
-l
l
-
-
i
n
-
i
?9
?
?
?
?
C
C
?
dd
d
d
d
d
d
d
d
11
n
:
n
n
n
n
l
oo
o
o
o
tE
3
E
3
E
3
3
3
3
E
E
3
3
3
3
3
E
3
3
3
E
E
3
E
E
E
E
3
3
I
t
E
E
E
3
E
8
E
3
3
3
E
E
€
d
a
-
-
-
-
€
d
d
-
-
-
d
d
-
-
d
6
6
-
d
d
€
i
6
d
a
.
&
6
@
-
-
-
i
-
a
@
1n
-
q
e
9
!
r
n
9
q
t
9
1
!
:
q
P
q
tE
E
E
E
E
E
E
E
S
E
E
E
E
E
s
E
E
8
.d
d
d
d
-
*
-
-
d
d
d
-
-
i
-
@
d
d
it
t
i
i
i
t
i
t
i
i
i
t
i
t
i
t
t
i
t
t
F
i
i
t
\
t
i
\
\
t
i
i
t
i
i
i
t
\
!
i
i
i
i
i
t
t
i
i
t
i
i
i
i
i
i
i
i
i
i
i
t
--
:
?
q
?
q
9
c
?
q
?
c
?
a
:
-
:
-
n
n
l
i
-
n
n
:
-
-
9
-
?
?
?
?
q
q
q
c
q
q
q
q
q
e
P
e
e
e
P
q
i
i
t
9
9
9
!
1
1
n
n
qq
e
i
i
i
i
i
t
c
c
?
q
n
q
q
q
q
q
q
r
r
i
i
i
i
9
9
9
9
9
9
9
!
!
!
!
!
!
a
1
n
n
a
1
f
:-
?
?
Q
a
q
q
q
c
q
q
q
i
i
9
qa
q
q
-
:
q
c
9
-
q
?
?
q
9
9
1
a
q
:
a
n
9
9
9
a
a
1
1
9
i
l
9
r
9
-
9
q
l
q
?
Q
-
l
n
l
e
n
n
i
r
e
i
n
c
q
?
n
c
i
9
€
f
l
n
n
l
l
t
t
n
n
l
t
t
n
l
l
t
l
n
l
n
t
t
l
l
l
l
l
n
t
t
l
n
l
l
n
l
l
n
n
l
t
n
n
n
i
n
n
n
n
n
n
n
n
n
n
n
r
l
n
l
l
{q
?
?
-
t
l
t
n
1
!
9
i
Q
{
{
e
q
q
q
-
n
l
l
t
n
!
t
a
!
9
!
t
9
9
9
9
i
t
t
n
q
q
-
1
n
n
i
n
n
a
1
9
9
9
9
9
9
9
9
1
1
1
€
-
@
d€
-
€
-
n,
d-
.
-
d
d
a
6
*
d
d
-
*
d
d
*
d
-
d
*
-
-
-
dd
-
-
€
d
-
-
,
€
d
,
lq
a
q
a
l
<
q
:
n
9
a
a
-
e
t
q
l
q
Q
n
-
a
?
?
9
9
9
9
9
9
n
n
t
t
1
!
n
q
a
9
9
q
9
-
:
q
q
n
9
a
n
q
l
9
Q
n
l
i
Q
9
t
q
€8
5
8
5
5
5
E
8
s
E
5
8
E
E
5
5
E
8
5
E
E
3
E
5
E
3
5
E
E
E
8
€
E
8
E
5
E
E
€
E
8
E
5
5
E
8
E
E
€
5
8
5
8
8
8
3
5
8
8
3
3
5
77
of
2
0
l
=
EA
xr
1
Ii
EE
E
?t
a
r=
8
ar
a
-,
-
1
8
3t
3
E
3
3
E
3
3
3
3
E
t
3
3
3
3
3
3
3
3
3
8
8
E
3
E
i
E
E
8
E
E
E
E
E
E
8
E
E
E
A
E
E
E
E
E
8
8
3
3
8
3
3
3
E
3
3
3
3
3
3
E
3
3
3
3
3
E
i
d
€
-
-
-
-
-
-
-
-*
-
&
-
d*
-
d
-
-
-
dd
t
d
d
6
€
d
d
-
*
d
t
d
-
i
-
d,
-
-
-$
4A
A
6
e
d
d
-
-,
€
d
d
*
tt
i
t
i
i
i
i
t
i
t
t
t
i
i
i
i
i
i
t
i
t
t
i
i
t
t
t
i
i
t
i
i
t
t
i
i
l
i
t
i
t
q
i
i
l
t
i
i
i
i
i
i
t
\
i
i
t
t
l
i
i
i
i
i
t
t
i
i
9n
n
a
a
i
-
9
?
1
n
q
?
r
a
t
i
i
9
9
9
9
9
1
1
a
a
a
a
n
n
n
i
:
Q
9
q
q
q
q
c
c
i
i
9
9
9
9
9
q
1
1
l
1
n
n
n
a
n
q
n
l
n
n
-
n
-
-
-
ln
n
t
-
?
a
a
c
q
a
r
a
i
t
t
t
t
9
9
9
!
!
9
a
1
a
n
r
-
-
-
q
q
q
r
e
i
i
i
9
9
9
n
l
1
1
n
a
a
a
n
l
1
:
-
-
:
l
?
c
?
?
q
?
?
q
?
?
1-
?
?
q
1
?
C
i
e
e
a
q
-
q
q
q
-
t
n
r
n
l
l
t
-
q
q
Q
?
q
q
a
1
-
i
n
i
r
:
c
n
e
9
!
t
9
\
!
t
i
9
9
a
a
t
t
r
l
n
a
l
:
Q
q
i
9
9
1
-_
-
-
l
?
?
?
?
nn
l
n
n
n
n
n
n
n
l
n
l
c
l
l
l
n
n
l
q
n
n
r
r
q
i
-
-
n
n
i
n
q
-
n
q
n
n
q
n
n
n
q
q
q
t
t
t
n
n
t
e
n
:
n
n
q
q
t
-
-
a
n
q
n
n
:
-
56
6
6
a
O3
0
0
0
0
3
5
0
0
a4
a
-
-
3
3
=
3
3
3
C
3
0
??
?
?
?
"
?
?
?
?
?
?
l
i
i
?
?
?
?
9
?
9
?
?
?
9
e
?
e
?
?
?
?
a
a
9
e
c
9
9
c
?
?
9
9
?
?
t
?
?
?
?
9
?
?
?
?
?
?
?
9
?
t
?
?
?
c
?
?
--
6
€
A
n
d
d
^
^
d
d
N
d
^
d
d
d
i
l
N
d
d
d
N
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
N
d
d
d
d
d
E5
5
E
E
5
E
5
E
8
E
8
E
t
t
5
5
E
E
5
5
5
E
E
€
E
E
E
E
E
E
E
E
s
E
E
E
E
E
€
E
E
E
5
5
E
3
3
E
E
5
E
E
E
E
E
3
3
E
E
5
E
E
E
E
E
8
8
E
ni
l
:
q
q
q
a
q
*
P
e
l
f
9
9
9
!
9
9
t
a
l
n
n
a
n
n
n
:
?
?
?
c
q
?
?
f
t
i
9
9
9
t
a
l
a
1
n
r
n
n
n
l
-
-
-
q
a
q
q
?
t
q
a
?
?
q
q
-a
q
9
a
q
1
?
q
T
?
a
t
9
n
!
1
9
!
!
9
t
n
l
n
l
n
n
l
!
t
9
9
9
!
a
1
a
a
!
l
l
l
l
n
l
n
l
n
r
l
n
l
n
t
n
n
n
n
l
l
i
n
f
n
r
l
n
l
nC
n
!
9
?
Q
1
t
9
e
t
?
4
1
9
9
a
!
1
q
?
-
1
9
1
q
t
q
a
9
t
-
-
9
C
a
q
*
i
n
i
q
?
9
q
I
1
-
9
i
n
9
9
q
n
-
9
-
q
i
\
i
C
€
1
!
a
i
nt
n
n
n
n
n
n
l
t
i
n
t
t
l
n
n
l
l
t
n
l
r
l
t
n
n
n
n
n
n
i
n
i
n
n
n
n
n
n
t
r
l
l
t
n
i
i
n
n
n
n
l
n
n
r
r
i
i
n
n
l
i
n
r
n
q
i
l
;;
;
6
G
o
o
F
r
r
r
-
n
&
n
;
;
'
'
5
5
;
5
j
:
J
j
i
i
l
i
i
l
;
;
;
;
i
-
i
i
d
d
;
;
G
;
;
o
F
r
F
F
;
;
;
-
In
9
?
9
n
3
!
9
9
9
9
9
9
1
9
9
!
n
?
"
9
9
9
?
a
e
9
t
e
?
e
?
?
a
9
9
a
C
?
?
e
?
?
?
a
?
?
?
?
9
9
e
?
?
a
?
?
?
i
-
:
:
:
:
.
:
i
i
!(J
O
Ym
!E
.?
.9
_
!(J
,e:!]e,:
E
78
of
2
0
1
-6
6
A
6
r
N
C
5
F
A
+
d
-
a
-
O
h
d
-
'-
-
O
-
an
r
n
r
-
+
i
+
3-
8
E
8
E
E
E
E
E
E
E
E
E
3
E
E
E
I
E
8
E
E
3
E
E
3
8
E
8
E
t
3
3
3
3
3
E
E
3
3
E
E
E
E
3
E
8
3
E
t
E
E
E
E
A
E
8
E
3
I
E
8
E
E
3
E
E
3
3
E
3
3
E
-
dd
d
d
d
-
d
-
-
d
d
d
d
-
d
d
-
d
-
-
-
d
-d
-
-d
$
-
dd
€
dd
6
d
d
d
-
-
-
6
d
6
d-
n
€
-
-
@
€
@
@
e
-
@d
ii
i
i
i
i
r
i
i
\
i
i
i
i
t
i
i
i
\
\
\
\
i
t
t
i
\
t
i
i
i
\
t
t
l
i
t
t
i
t
i
i
i
i
i
i
i
i
i
\
t
i
i
i
i
i
i
i
i
t
i
i
i
i
t
t
t
i
i
i
t
\
i
t
i1
-
a
:
-
-
:
-
-
-
-
-
i
r
i
n
i
a
a
a
n
a
n
q
n
n
q
:
n
-
-
e
?
q
e
?
a
q
?
a
e
a
c
a
q
t
c
q
e
q
Q
9
?
-
-
-
:
-
n
l
l
l
r
a
a
a
a
l
9
!
9
9
9
f:Ez;e
ee
q
q
q
9
-
:
r
n
n
n
r
r
n
n
n
n
n
n
n
n
n
n
1
a
1
1
a
1
1
9
9
9
6
9
9
9
9
9
9
9
9
9
9
9
9
i
i
l
i
q
i
e
*
q
q
q
c
q
?
?
q
q
?
-
-
-
-
--
-
@
-
6
-
-
-
&
-
-
-
-
nq
9
n
a
n
q
9
-
-
q
?
1
n
9
q
9
!
a
{
9
r
9
a
-
a
q
i
q
€
-
q
!
-
n
n
q
q
e
r
l
-
!
q
9
q
1
-
9
f
ie
-
q
:
q
?
?
9
a
1
a
i
n
P
t
*
q
l
n
!
t
q
a
r-
o
F
-
od
c
F
r
*c
-
-
€
2
l-
-
a
1
|
l
l
|
-
:
-
-
n
:
n
n
q
q
-
-
-
n
n
-
n
:
n
l
n
n
-
-
.
-
-
-
_
-
-
-
.
'
-
:
-
-
-
?9
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
i
?
?
9
?
?
?
?
?
?
?
?
?
9
C
q
C
?
?
?
9
?
?
9
?
?
?
a
e
a
?
?
+
?
?
?
?
?
"
?
?
?
?
C
?
?
?
?
?
?
t
?
?
?
?
6h
o
a
o
66
0
6
h
6
0
0
0
0
6
D
o
€
€
@
€
o
a
^
ry
d
d
N
d
i
d
d
d
N
N
d
N
d
d
d
d
-
^
d
d
i
^
n
^
A
n
d
d
d
d
n
^
d
^
d
d
d
d
N
N
d
i
d
d
^
d
N
^
^
^
N
{
n
d
^
^
d
n
i
d
N
d
d
d
d
TS
E
E
E
E
E
E
E
E
S
€
E
E
5
E
8
E
5
E
5
5
E
5
8
5
E
€
E
E
S
S
E
E
E
E
E
E
E
t
E
S
E
E
S
E
S
S
E
E
E
E
E
E
E
€
5
5
8
8
8
8
5
5
5
5
5
5
11
n
l
-
n
-
l
n
a
a
:
1
1
a
l
n
1
a
a
1
a
a
1
1
1
9
!
9
9
9
i
i
i
t
{
?
q
a
?
q
-
-
-
-
l
n
l
n
n
n
n
t
n
n
:
1
a
n
nn
n
l
l
-
?
?
:
n
r
a
t
9
t
9
9
-
i
t
Q
*
t
n
l
a
l
9
q
a
q
\
n
:
r
9
a
-
q
\
9
9
9
9
9
9
9
9
9
9
9
e
q
c
n
9
q
1
q
i
e
t
I
l
n
*
:
9
?
1
{
l
t
r
-h
o
d
-
od
-
6
0
N
6
q
o
;;
;
;
;
6
d
6
6
o
b
6
€
r
i
l
i
d
&
d
d
n
;
d
d
;
a
d
.
.
r
]
J
:
i
i
i
l
i
;
;
;
^
N
^
N
&
^d
n
d
il
n
n
nn
i
d
i
l
nn
n
n
n
n
n
n
n
n
n
n
e
dn
a
a
e
d
dd
d
d
i
l
i
l
i
l
n
i
l
d
n
n
il
n
i
l
n
n
n
i
l
n
n
n
dn
n
n
i
l
n
N
il
n
n
il
QA
Yo
!E_a3.
9
I
Qr
r
q
?
e
q
q
t
l
9
9
:
9
i
i
9
1
-
-
-
?
?
-
q
?
-
q
?
q
q
-
q
q
q
Q
q
q
i
n
q
-
a
r
a
a
1
9
t
9
i
i
9
!
P
?
n
n
9
9
9
a
n
t
t
?
q
9
-
-
n
a
l
l
79
of
2
0
l
-N
i
d-
o-
-
+
6
d
c
N
r
€
€-
d
i
-
6F
o-
-
+
€
-
o
d
+
6
r
d
:
r
6r
o
jd
+
€
e
c
i
F
:
6r
.
i
sE
!e
EI21
EE
t
3
E
3
3
3
3
3
E
t
8
t
3
8
3
8
E
3
3
8
3
E
E
E
t
E
E
E
8
3
E
E
E
E
3
E
E
E
E
E
8
E
E
3
E
3
3
E
3
3
3
3
3
E
3
3
E
3
E
E
3
E
E
3
E
E
E
E
E
&
-
6
-
€
-
6
d
d
-
d
-
-
@
-
-
-
d
d
@
@
@
d
d
d
-,
t
@
@
d
d
@
a
d
€
d
n
d
!
-
a
d
d
-
-
it
i
i
i
i
i
t
i
i
i
i
i
t
i
t
t
i
\
t
i
t
t
t
i
i
t
i
i
t
i
i
f
i
i
t
i
i
i
l
i
i
i
t
i
i
i
t
i
i
i
i
i
f
t
i
t
t
i
t
\
i
t
i
i
t
t
t
i
t
t
Q
?
!
-
Q
9
in
9
n
i
9
€
i
!
I
P
a
?
9
n
I
n
i
q
{
Q
a
n
q
n
a
q
?
q
q
C
C
9I
€
a
1-
q
|
9
a
19
:
-
n
-
n
?
-
?
I
-
ii
!
n
?
a
n
-
a
I
n
6E
ln
l
n
n
n
t
n
t
n
n
n
n
q
i
n
q
n
q
n
n
n
n
t
n
i
n
n
i
n
n
n
i
n
q
n
n
n
n
n
n
n
n
n
n
q
n
q
n
i
n
i
n
n
n
e
n
n
n
l
n
n
n
t
n
q
n
n
n
t
l
UA
E.
g
.3
.z
.:
aO
-a
-
:
a
-
:
l
i
i
1
n
:
-
:
n
n
q
l
n
-
a
n
-
n
-
-
-
t
-
t
-
-
-
-
f
-
-
-
-
i
-
i
-
q
n
-
-
-
i
l
n
n
n
n
n
-
n
-
:
-
-
:
:
-
a
n
-
i
i
:
??
?
9
?
?
?
?
?
?
9
?
?
?
?
?
?
t
9
?
9
9
C
e
C
?
?
9
?
?
?
e
?
?
?
?
9
C
?
?
e
?
C
?
a
C
?
?
C
?
?
?
"
?
a
e
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
s
9
9
9
€
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
0
€
9
9
9
€
€
9
9
9
9
9
9
9
9
9
9
9
9
lI
i
p
I
E
!
t
i
t
E
E
!
:
I
l
:
:
!
_
€
-
5
_
E
E
^
E
E
E
^
E
-
E
-
E
-
E
^
E
!
^
€
-
5
E
t
E
-
E
^
E
^
E
^
E
-
5
-
E
^
€
-
E
E
^
E
-
5
^
E
!
E
!
^
E
!
!
!
^
5
C
^
5
^
5
I
E
^
E
^
5
-
€
E
E
E
-
E
!
-
E
ic
c
?
q
1
q
?
?
:
-
-
q
q
q
?
c
9
q
q
q
q
q
c
q
q
9
9
?
?
q
-
-
a
i
n
t
q
a
a
a
1
1
9
9
9
9
9
9
i
t
i
e
*
e
q
q
q
q
q
q
q
q
q
?
q
-
:
n
n
n
nn
n
a
n
n
n
n
n
n
a
t
t
.
q
Q
q
q
q
-
-
i
-
l
-
l
l
n
l
n
i
n
a
a
l
!
t
9
!
!
!
t
!
!
9
9
t
\
t
t
\
t
?
q
q
P
r
q
r
a
q
q
q
q
q
?
e
e
e
Q
a
eq
-
n
a
9
I
9
a
t
c
e
t
9
9
?
n
t
q
e
q
a
9
{
-
1
i
q
q
-
a
9
9
q
c
-
a
9
c
1
n
a
!
q
i
i
l
i
-
n
4
9
1
!
q
9
9
9
9
9
9
1
9
c
e
!
n
1
9
9
!
==
:
:
:
A
S
!
!
!
:
E
:
=
3
8
!
3
=
:
8
S
3
S
E
E
E
:
=
E
=
=
=
E
A
A
I
q
A
S
=
=
=
=
=
=
9
=
:
9
=
9
9
=
:
9
=
9
=
3
9
=
=
3
9
:
3
=
9
9
=
EE
E
5
6
E
E
5
E
5
5
5
g
E
6
5
6
E
E
'
6
E
E
E
E
6
5
E
E
T
E
6
E
E
E
E
E
5
5
E
d-
-
d
d
r
d
*
-
-
n
d
d
-
-
d
-
d
d
d
-
d
d
-
d
d
d
-
-
e
d
d
-
d
-
d
-
ln
n
n
n
n
n
n
n
n
n
n
l
l
l
n
l
l
f
t
n
n
n
n
l
n
n
n
n
i
q
n
n
n
n
n
q
n
l
l
l
r
n
n
n
q
q
r
r
l
r
t
n
n
q
n
n
l
q
n
t
n
n
l
q
f
q
n
n
n
n
;;
;
;
+i
i
*
d
d
-
;
b
o
i
i
€
F
i
i
i
;
-6
;
5
o
ad
o
3
:n
i
i
a
-
;
-
-
+=
==
-
d
-
;
o
o
€
o
i
r
r
i
a
6
a
oi
o
ni
n
n
a
a
9
a
!
r
t
a
a
a
r
9
a
e
n
n
a
n
n
n
a
a
a
a
l
:
a
l
f
:
I
:
l
:
n
:
:
T
:
a
:
:
n
a
:
a
a
a
a
?
t
:
?
?
a
a
:
a
:
:
a
a
9
a
9
9
9
3i
80
of
2
0
l
€9
9
0
€
€
O
€
S
€
S
€
A
O
€
G
O
€
A
@
O@
Q
6
€
88
8
8
3
8
8
8
3
3
8
8
3
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
3
3
t
8
8
8
8
8
3
8
t
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
dd
d
d
-
*
d
d
d
d
d
-
d
d
d
d
-
-
-
-
d-
-
-
-
€d
-
-
-
33
3
t
3
8
t
3
3
8
8
8
8
t
3
3
3
8
5
8
8
3
3
3
8
8
5
5
3
5
3
3
8
3
3
3
5
5
3
3
3
3
:
8
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
3
8
3
-
-
-
€
d
d
6
d
-
-
€
€
€
d
d
@
-
-
@
-
d
-
*
-
-
d
@
d
-
e
d
6.
d
d
-
d
d
d
d
d
n
-
i
d
-
d
-
d
€
i
d
d
d
d
ii
i
i
i
i
i
i
i
a
i
t
t
t
\
t
i
t
t
t
t
i
i
t
l
i
t
t
i
i
t
t
i
\
i
t
i
t
t
i
t
a
\
i
i
i
\
i
i
i
i
t
t
\
i
i
i
\
i
i
i
i
i
r
i
19
!
!
!
9
9
9
i
i
i
t
q
e
e
q
q
q
q
c
e
q
q
q
f
f
9
9
n
1
l
a
n
l
t
n
n
:
-
?
q
9
a
q
q
q
q
q
q
q
a
Q
q
-
-
l
q
l
11
9
a
1
1
1
1
a
1
1
1
a
A
1
9
9
9
9
9
9
1
a
1
Q
q
i
9
n
1
n
1
-
l
l
-
1
.
-
?
9
q
q
"
i
\
\
i
i
i
i
C
t
q
q
-
-
-
-
q
?
q
-
-
-
--
-
-
1
n
1
!
9
9
9
9
f
qq
q
-
-
-
q
q
q
q
q
-
q
?
9
q
<
q
9
n
t
n
n
n
1
t
n
n
t
l
n
n
n
n
n
n
a
1
1
1
1
l
l
l
!
9
9
9
4
9
4
!
q1
9
i
i
-
9
9
C
n
a
i
-
a
q
a
n
9
9
n
i
-
q
?
n
9
t
q
r
n
f
-a
l
q
t
9
t
a
?
9
q
t
!
9
9
q
i
i
1
n
1
n
9
q
n
-
q
:
1
e
a
a
9
1
:
UA
!E4.
2
E}
I
nq
?
1
!
i
e
t
9
9
t
q
-
-
-
-
q
!
?
e
c
q
q
q
?
-
-
a
l
l
-
:
?
q
q
:
:
-
-
-
1
1
!
9
1
n
i
i
*
?
l
a
l
a
a
a
l
l
:
9
q
?
a
1
i
nl
n
n
l
n
l
t
t
n
t
t
n
a
i
l
n
n
n
a
a
n
l
n
n
t
n
n
l
t
n
n
n
n
n
l
t
t
n
n
n
n
n
n
n
i
n
n
n
n
n
n
n
n
n
n
a
a
n
n
n
l
l
l
n
o4
5
5
6
00
0
6
6
6
a
3
0
0
0
c
3
3
c
oo
3
3
c
o5
a
o
c
60
6
5
0
36
c
5
.
in
n
i
-
-
i
-
-
q
n
n
f
-:
-
:
n
l
n
n
n
n
n
n
n
n
n
l
l
q
n
n
l
n
l
l
n
:
n
l
-
-
l
l
l
:
l
a
1
-
n
a
i
l
n
-
l
:
-
n
-
l
l
-
ca
?
?
g
?
l
?
?
?
a
?
a
a
?
?
?
?
c
?
?
?
?
?
?
?
?
?
?
?
?
c
e
9
9
?
?
?
9
?
?
?
?
?
?
?
9
?
?
?
?
?
?
?
?
?
?
?
t
?
?
?
?
9
?
Es
E
B
E
€
G
€
€
G
3
3
3
€
€
3
$
€
E
E
8
€
€
S
S
S
€
S
5
S
3
E
S
S
€
S
3
8
3
3
8
3
3
8
3
5
S
€
3
8
3
3
3
5
3
€
3
3
3
S
8
3
3
3
€
dN
d
d
d
d
d
N
d
d
N
d
N
^
d
d
d
N
d
d
Ni
d
n
d
ry
d
n
a
^
Ni
i
^
d
N
d
n
d
i
q?
q
a
q
q
q
?
-
-
-
:
-
l
i
n
n
n
l
n
-
9
q
q
l
q
q
e
e
a
e
e
q
P
r
q
!
!
?
q
i
\
\
t
9
\
\
\
i
P
r
EE
3
E
8
5
8
B
€
3
8
5
8
5
8
3
3
s
8
8
3
8
8
€
E
€
E
E
E
E
E
E
E
E
S
€
E
E
E
E
E
E
E
5
8
5
5
5
8
5
5
5
8
r
8
E
€
€
8
8
5
8
8
€
8
tt
E
e
?
?
?
?
?
?
t
?
i
l
t
?
?
?
?
?
e
?
?
?
E
e
t
?
?
t
t
t
t
l
t
l
l
t
t
t
t
t
t
t
t
t
e
t
l
l
t
t
t
t
a
=
i
l
l
e
i
t
f
i
3
;;
;
;
;
;
+
;
6
6
d
6
;
;
5
dd
d
i
d
;
;
d
d
d
d
d
d
d
d
6
6
:
r:
:
d
i
n
n
d
;
;
;
+
6-
€
o
o
6n
&
-
6
n
a
n
A
n
n
a
a
a
n
a
n
n
n
n
n
i
l
n
n
d
d
n
n
n
A
n
i
l
i
l
;
;
;
;
;
;
6
;
;
;
;
;
;
;
;
;
;
;
;
;
-
-
F6
6
-;
,EI4A=]
3E
E
E
3
3
3
ti
t
i
i
t
t
EE
E
E
E
E
E
5d
o
5
o
5
a
8l
o
f
2
0
l
-d
.
:
tiee
EE6q
6oaE.
s
8.
2
a!
{e{qE6
rn
Pi
!
a
n
-
Q
{
i
n
!
a
88
8
8
8
8
8
8
8
8
8
8
dd
d
d
d
d
d
d
d
d
d
d
EE
E
E
E
S
E
E
E
E
E
E
3tq
t
t
\
t
i
i
t
t
a
i
r
ln
n
q
n
i
n
n
-
:
-
a
-
n
?-
-
i
-
-
-
a
a
1
-
i
-
h
€6
€
€
6
€
d
d
G
G
G
J
d
J
li
e
q
q
n
q
q
e
q
q
9
!
-E
C
E
^
E
-
E
^
E
^
E
^
C
C
C
E
C
tn
t
l
t
t
a
a
9
t
t
q
n
ii
f
i
i
a
i
i
i
i
i
i
i
dd
d
d
d
d
d
d
d
d
d
d
d
dd
d
5
5
d
5
!
J
:
:
I
i
9Q
Q
i
:
:
:
:
:
-
:
-
:
82
of
2
O
l
ao
N
-
€
F
6
9
h
O
aa
!
-
6
--
-
6
6
9
-
a
-
d
d
d
N
N
dd
6
-
-
6
6
-
o
o
o
d
5
d
d
5
d
5
o
3.
3
o
3
d
o
i
o
i
i
3
o
d
5
c
i
.
o
c
o
i
d
5
o
5
o
d
3
o
o
d
o
c
a9
-
r
,
6-
A
&
-
-
5
5
5
-
F
d
e
-
-
-
-
-
-
ii
i
3
3
d
.
5
-
i
o
o
o
d
.
o
5
5
o
oo
i
c
.
.
3
=i
5
ii
s
d
d
d
d
d
i
s
i
s
=o
c
iJ
J
j
j
ad
d
5
6
ra
-
o
9
Q
€
t
€
a
t
r
o
€
a
n
9
o
e
6
-
55
€
-
a
^
-
T
l
9
q
-
i
A
9
9
9
9
i
i
i
i
e
l
i
e
i
C
T
q
a
q
Q
q
r
e
q
q
q
9
l
9
a
!
1
9
9
9
9
a
6
-
6
C
6
q
n
l
9
a
Q
F
i
i
c
c
€
-
-
99
9
9
9
9
F
-
F
6
88
8
8
8
S
3
8
3
8
3
3
3
3
3
3
3
E
8
3
3
3
8
E
3
3
E
8
3
3
8
3
3
3
3
3
8
8
8
8
3
8
3
8
8
E
E
3
E
E
3
8
3
3
8
3
3
3
8
8
3
8
3
8
3
3
8
8
8
d
o
d
6
€
dd
d
6
h;
d
d
d
d
h
6
d
d
6
d
d
6
d
d
d
-
6
6
d
d
h
h
r
'
d
d
d
;
h
6
6
6
6
6
6;
6
6
;
;
;
;
;
;
i=
r
I
i
!
E
i
i
i
l
:
s
t
a
s
E
€
3
-
3
Q
E
-
a
F
E
-
-
e
F
e
e
E
e
F
q
s
e
€
q
t
s
q
E
s
a
€
3
q
i
:
:
:
i
-
^
s
q
q
a
E
F
l
E
i
i
i
:
:
:
=e
-
o
6
-
N
a
6
F
F6
6
0
3
-
d
-
+
6-
6
F
d
;
;
-
4
6
f
r
a
5
-
;
€
-
;
h
A
h-
C
1
9
q
-
i
€
{
-
a
9
r
.
a
9
e
:
a
d6
d
6
6
6
6
6
d
d
d
d
;
d
;
;
d
d
6
d
=
=
=
=
=
=
=
=
1
3
1
!
!
!
I
-
=
=
J
:
:
!
:
9
9
9
9
!
!
E
E.
q
?a
?
+
+
*
9
6
-
-
n
o
-
€
6
?q
q
a
1
-
q
e
i
9
9
9
9
9
!
!
9
t
t
!
!
!
!
!
n
!
!
9
9
9
9
9
9
9
!
t
n
a
a
9
9
!
!
!
!
!
9
!
9
n
9
9
9
9
9
9
!
9
9
q
1
-
q
i
9
9
9
9
q
ln
t
q
n
n
t
q
r
r
i
q
l
!
r
q
t
!
r
2
2
2
2
2
2
2
Z
2
2
2
2
2
2
Z
2
2
2
2
2
2
2
2
2
Z
Z
2
2
2
2
>
>
2
>
>
>
2
2
>
AA
q
!
A
A
A
A
N
A
A
L
O
T
A
A
A
A
A
A
A
i
l
4
A
A
C
4
O
d
A
4
4
O
4
4
C
C
{
i
l
E
E
E
E
E
E
E
E
E
E
E
E
d
E
E
E
E
d
d
d
E
d
E
E
E
E
E
E
E
E
ro
h
o
h
!l
9
i
n
i
Q
-
.
1
9
:
n
:
?
i
t
:
e
:
n
9
?
*
n
a
e
a
.
a
9
.
n
a
,
9
.
n
a
t
a
.
r
!
a
?
f
n
9
?
a
.
9
a
i
-
9
q
n
-
a
-
n
i
i
i
n
i
i
q
+
t
ne
n
a
n
t
t
t
n
a
n
n
e
f
e
n
n
n
n
n
t
n
n
t
n
e
n
l
n
l
l
n
n
9
n
n
l
n
a
i
a
l
:
a
a
a
:
:
:
:
:
:
:
:
a
1
:
:
:
:
:
:
a
i
i
l
.
f
:
9
23
f,aa{Ez-
-
!(.
)
a
Y.
r
e.
2
FE
Q
_d
9
{
9
€
t
r
6
4
9
--
;
6
o
-r
+
;
d
--
r
a
h
a
5
+
5
-
6
6
-
:
r
r
h
-
o
5
5
-
a
a
a
-
i
9d
d
5
!-
q
=
9
-t
=
go
?
j
j
d
j
n
d
9
dr
-
d
r
d.
;
-
-
-
d
i
o
+
i.
6
6d
d
d
j^
d-
d
i
r
r
;
d
o
r
--
'
=
.
€
66
€
5
O
6
O
C
a
O
-
O
O
3
O
F-
5
6
F
F-
6
r
a
o
d
-
;
--
^
=
=
:
9
:
!
=
=
=
=
=
=
=
=
=
=
9
=
9
1
9
9
1
1
1
1
9
1
e
1
9
1
3
1
9
9
=
=
=
=
=
=
=
=
=
=
=
=
=
=
3
=
=
9
e
=
9
=
!
9
=
:
E
e
=
=
=
8a
3
=
8
=
3
3
;
;
5
8
S
e
;
3
3
5
8
8
8
$
-
3
9
5
t
3
5
5
8
3
5
5
3
3
3
-
8
3
3
6
3
e
3
3
3
3
8
3
3
S
8
.
-
t
8
3
S
3
;
8
3
3
8
3
;
E
*
r
a@
-
-
-
€
-
t
-
-
-
&
-
-
&
&
-
-
-
-
-
d
6
-
n
6
-
-
-
-
-
6
-
-
&
-
-
-
-
-
€
-
-
-
dd
-
d
d
d
d
A
A
-
d
-
-
-
N
N
d
N
d
se
$
B
E
e
s
i
€
q
i
6
q
q
g
(
X
i
E
e
-
3
E
i
1
6
c
E
t
E
q
4
8
E
!
l
E
A
-
E
F
q
3
-
F
q
3
5
!
S
s
l
6
e
q
E
l
A
E
A
E
i
q
q
i
{
.
S
;
$
^
n
-
-
F.
-
F.
-;
+
+
+
+
+
+
6
6
;
6
b
6
5
U
6
a
b
3
F
dd
F
F
--
-
-b
-
5
C
d
d
b
6
=
=
=
=
=
=
=
=
=
=
E-
E+
}E
I
iF.r
.
-.
\
83
of
2
0
l
:d
nr
a
n
a
a
a
a
a
l
l
n
l
l
n
i
l
r
l
n
n
n
l
!
i
q
i
i
i
9
9
9
9
9
i
t
r
i
9
9
9
9
i
i
i
i
r
i
i
9
9
9
9
9
9
9
\
i
\
i
e
na
a
a
n
n
e
t
n
n
n
n
n
n
n
n
n
a
n
n
i
n
l
a
a
q
n
q
n
a
n
a
e
n
q
n
a
t
n
n
l
n
n
n
n
n
-
n
n
n
n
-
n
n
a
a
a
n
a
n
n
oo
€
o
o
o
€
€
0
0
o6
6
6
a
€
o
o
6
6
€
d
d
6
€
o
6
o
o
o
6
6
o
d
€
6
d
d
6
€
o
o
d
6
6
o
o
d
d
d
o
d
d
o
o
o
€
o
6
6
€
€
o
o
d
d
al
n
l
?
i
i
\
i
{
t
q
9
i
a
q
c
-
n
?
n
1
i
1
5
a
l
i
1
a
1
9
a
a
-
q
q
-
1
9
1
n
l
q
n
-
t
t
t
n
l
t
t
n
!
1
:
:
?
q
r
55
5
3
3
3
3
3
33
3
5
3
3
8
3
3
0
E
-
A
E
S
i
a
E
E
E
E
S
i
3
E
i
E
E
E
s
3
:
3
:
i
3
i
3
3
=
=
=
:
:
=
=
E
I
3
3
E
E
a
q9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
33
8
3
3
8
8
t
3
3
t
3
3
3
E
8
t
3
3
t
:
3
8
3
3
E
E
3
8
3
3
8
3
3
8
3
3
3
8
8
3
3
t
3
3
8
E
8
E
3
3
E
E
3
E
8
3
3
8
8
3
6
6
6
6
6
6
6
''
d;
d
d
;
d
6
;
6
6
6
6
6
v'
v
'
6
h
q
€o
€
€
o
o
€
€
€
o
o
o
o
o
o
a
o
€
o
o
oo
o
o
F
dd
d
d
d
i^
^
n
N
dd
^
d
^
i
^
i
^
d
n
a
n
^
N
N
F
a
-
o
d
Fd
d€
;
-
o
h
d
;
d
r
a
o
-
.
-
jd
d
i
*
a
d
6
j
r
'
:
d
d
d
n
i
d
o
q-
dd
d
d
d
oC
o
-
-
-o
o
o
o
3
=3
=
E
:
;
4
f
r
Bi
D
A
f
S=
t
3
=
5
g
G
F
R
5
3
5
=
e
E
ln
i
a
n
t
i
?
n
9
q
e
n
9
q
?
n
9
i
9
1
9
t
?n
e
P
r
!
!
I
q
q
?
e
q
e
e
e
e
e
a
e
e
e
f
!e
q
q
q
q
e
a
!
a
?
P
?
M
r
t
a
e
e
e
r
{
€
r
{
?
r
e
€
e
*
{
<
€
9
e
99
9
9
9
9
9
9
9
q
9
I
I
9
9
9
9
9
9
I
I
6
9
9
9
9
9
9
9
Yu
YE8.
2
n:U
cq
q
!
-
+
6
+
6
d
6
d
6
d
o
€
r
r
d
d
d
d
d
r
d
r
d
d
d
d
-
-
-
d
€
i
-
-
*
-
_r
9
_
o
ia
:
i
l
a
i
a
?
i
a
q
i
a
9
9
n
q
9
a
q
9
l
q
9
n
q
9
a
q
9
a
l
9
a
Q
9
n
9
e
a
?
l
d
qt
a
9
i
1
?
\
1
9
i
a
a
i
1
-
i
o-
:
:
i
^
&
A
&
e
-
;
;
r
+
i
i
q
6
6
6
6
;
o
b
F
F
F
F
;
&
&
;
6
d
d
t
d
d
d
S
r
:
r
i
i
n
n
i
;
n
n
;+
+
;
;
;
f
r
6f
r
99
9
1
1
1
n
r
4
n
an
a
a
r
a
i
a
i
a
S5
a
d
S
d
i
i
d
d
dd
d
d
d
d
d
d
d
d
99
9
9
9
9
9
9
9
9
\t
i
t
t
l
q
t
t
i
33
4
C
3
3
3
t
E
8
dd
d
n
d
d
d
d
d
;
91
q
9
a
9
9
n
?
9
a9
9
t
e
a
q
q
:
r
84
of
2
0
l
o€
d
o
J
6
6
6
o
J
d
d
o
6
6
6
o
!f
q
r
f
e
r
e
q
f
a
e
?
c
q
e
c
ti
t
i
i
i
i
i
i
i
i
\
i
i
i
i
88
3
8
8
3
3
E
8
8
8
3
3
3
3
3
^N
d
d
d
^
^
d
d
^
N
i
l
d
^
d
d
N
€€
€
€
F
O
€
n;
;
;
6
n
e
F
r
.
.
'
d
d
f
d
-
e
e
ii
j
;
;
6
d
o
:
-
h
a
€
c
-
i
6
jj
:
d
^
^
^
^
d
d
d
d
ii
9
!
i
i
r
r
!
!
!
F
q
a
q
q
5
:,E2a
;i
e!
a
c
P
q
{
e
a
a
q
e
{
Q
e
q
?
r
r
r
e
a
e
e
q
c
c
l
?
a
a
*
I
a
l
q
q
q
e
q
q
q
€
{
P
{
e
€
99
f
q
t
i
r
i
i
t
88
8
8
8
3
8
8
8
3
Eg
C
E
E
C
C
E
55
5
=
5
5
4
5
5
4
5
5
4
4
4
5
38
3
3
E
E
E
3
E
3
E
E
E
E
E
E
E
E
g
E
E
E
3
8
3
8
E
E
8
3
3
E
3
3
3
3
3
3
3
3
E
3
3
3
3
3
3
E
E
3
3
3
E
E
t
l!
!
!
!
!
9
9
!
!
9
:
9
!
!
:
!
9
!
!
!
!
!
9
!
!
!
!
:
:
9
:
9
:
!
=
:
!
!
9
!
!
=
!
:
:
:
9
!
9
!
!
9
9
9
6
o
d
o
G
6
6
€
o
6
6
6
o
o
o
o€
d
o
o
d
d
6
6
d
6
6
d
d
6
d
€
.
o
d
d€
oo
d
6
6
5
d
d
6
6
d
€
8
33
3
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
o€
o
€
g
€
o
o
o
o
o
o
€
€
€
ni
i
l
d
d
n
d
d
d
d
i
^
N
N
d
^
d
N
^
N
d
d
n
^
d
^
d
^
d
n
^
{
d
N
i
d
d
d
d
d
d
a
a
n
a
d
i
n
^
N
^
^
d
^
€o
-
6
-
^0
A
6
€
-a
o
a
o
+
F
n
a
d-
o
6
N
d
i
r
r
6
F
r
d
6
-
6
d
6
6
d
6
6
d
r
€
F
6
r
-
6
F
F
d
-
i6
5
5
r
r
6
d
6
€
d
d
+
d
dd
d
6
d
;
99
i
9
i
r
i
i
r
i
e
e
q
i
q
i
q
\
l
q
i
i
e
e
*
e
r
e
{
{
a
i
r
r
i
r
i
Q
i
i
i
i
i
f
rq
F
F
i
i
i
i
a
p
oo
o
o
o
r+
n
r
6
6
0
6
6
aQ
-
i
ro
-
-
f
?:
a
:
9
:
n
:
?
t
n
a
9
f
l
n
9
"
a
;
9Q
N
a
t
+
t
a
t
a
a
i
r
?
t
n
h
3-
-
6
-
-
-
5
-
nn
i
^
N
n
n
d
i
l
N
n
n
i
d
^
i
n
n
n
n
n
n
d
^
^
^
^
^
A
{
N
i
n
N
i
n
i
l
i
l
n
n
J
n
n
n
n
d
i
l
d
d
&
n
&
d
d
UOE.
i
8.
9
r!
(J
e
E
a
3
q
p
E
x
q
F
s
E
q
r
5
E
q
r
E
i
il
R
3
&
;
s
5
e
q
E
5
-
3
-
5
-
3
a
^E
i
!
i
5
n
E
4
E
I
r
4
q
{
q
*
85
of
2
0
l
Nd
d
d
d
d
a
-
&
N
d
d
d
d
d
--
-
-
-
a
e
e
6
-
a=
8
9
8
8
8
;
*
g
$
8
8
8
;
g
S
A
S
e
;
8
;
e
S
S
S
t
e
a
e
A
e
e
e
S
t
A
a
a
3
E
q
l
E
E
a
--
A
&
&
&
&
-
-
€
-
-
-
-
€
6
-
-
-
-
-
&
-
-
-
-
-
-
-
&
€
A
t
P
-
*
{
{
e
q
?
e
e
e
e
e
P
5
i
5
5
3
o
=
c.
i
3
=
i.
i
o
o
i
3
.
d
d
3
i
3
o
dd
a
5a
o
o
o
o
o.
ss
s
s
E
s
s
s
s
g
8
E
s
s
3
s
3
3
8
8
8
8
3
3
S
3
B
8
3
3
3
3
3
3
3
33
3
€
€
€
E
5
8
3
€
€
5
G
E
3
3
3
3
€
8
5
8
S
3
3
3
33
€
€
E
E
;;
€
;
o
o
;
6
d
d
6
o
@
oo
o
6
6
o
€
€
6
c
c
o
o
€
6
d
d
G
d
d
D
9e
?
q
q
*
-
=X
1
-
X
A
E
88
8
8
3
S
3
5
5
3
8
t
8
8
8
8
5
3
3
3
3
8
3
3
3
3
t
8
54
5
5
4
5
5
-r
r
F
r
r
r
r
F
F
F
F
r
r
r
F
r
r
r
P
r
F
F
F
r
r
r
r
P
r
r
r
tt
i
i
l
F
i
F
i
t
t
&&
A
A
l
a
A
^
-
A
A
A
A
d
d
38
3
8
8
8
3
3
3
8
3
3
3
E
E
=
E
E
E
3
3
3
3
E
3
8
8
3
3
E
e
E
3
3
8
8
E
E
3
E
E
E
8
E
E
3
?
a5
$
i
l
G
R
F
3
e
3
=
=
F
:
r
;
a
S
F
s
e
a
s
e
I
q
?
i
3
c
e
3
s
E
€
!
i
a
i
q
q
c
E
r
€
4
s
^F
-
F
-
-
-
d
d
N
;F
i
j
A
di
3
&
6
F
a;
q
i
-
5
;
3
;
:
;A
;
?
:,
:
?
C"
:
9
-
o
@d
d
d
6
d
d
=
9
9
=
=
=
=
=
1
66
6
6
6
6
o
6
6
€
6
6
6
€
56
b
b
6
J
J
A
r
b
G
S
d
b
O
b
b
G
O
a
e
O
o
€
o
o
o
a
o
o
88
8
nr
c
-
r
€
€
id
-
-
-
-
-
-
-
i
-
-
-
-
-
d
*
-
*
-
-
-
t
-
-
-
€
e
6
-
dd
d
d
6
6
o
d
d
6
FF
F
F
F
F
F
F
r
r
r
F
F
F
T
T
ti
i
i
i
i
99
q
q
9
9
9
b
9
9
9
9
9
9
9
9
9
9
9
s
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
il
d
d
d
d
d
N
d
d
d
s3
€
€
3
S
q
i
*
i
n
:
a
6
i
i
a
E
q
n
B
S
€
F
q
q
x
3
E
3
5
!
;
i
t
F
q
S
E
q
q
:
:
E
F
E
S
-i
i
r
d
6
;
d
-
d
d
r
t
O
h
+
-
;
;
d
t
;
a
j
d
d
;
6
6
d
d
d
--
-
-
-
_d
a
_
6
_
r
o
?
1
_
_
q
a
9
_
T
;J
;
J
n
*
*
t
i
4
4
6
A
d
&
-
-
*
-
d
6
-
6
d
d
-
-
-
-
n
4
-
-
-
d
d
d
6
6
6
FF
F
F
F
-
6
-
-
-
A
-
A
-
-
-
-
-
-
-
-
-
A
-
d
o-
d
U
;
4
6
;
3
6
;
i
r
a
-
F
+
-
F
+
:
F
+
-
-
-6
d
6
6
^A
d
,
6
n
-
-
r
+
+
n
+
r
r
h
--
-
-
+
r+
+
+
+
+
+
+
r
t
+
.
t
+
+
+
i
+
+
+
+t
r
r
+
oo
€
€
€
o
o
a
€
oo
G
€
F
o
€
O
O
O
=.
i
5
5
i
i
o
-
.
.
.
3
i
3
c
a
3
o
ce
€
f
?
r
e
e
e
{
+
*
e
a
?
e
f
rP
r
e
e
q
r
33
3
3
3
3
€6
€
9
e
9
9
9
9
9
9
9
t
t
i
i
t
i
i
9
ii
i
t
i
t
t
t
i
i
l
t
t
i
t
i
i
i
\
\
i
t
i
t
33
3
3
3
3
E
3
8
8
8
3
3
8
3
3
8
8
8
8
E
3
3
8
d6
6
h
6
;
;
6
;
d
d
h
h
6
6
6
6
6
6
-
d
6
6
h
ob
c
€
o
dd
N
N
d
d
d
d
N
d
d
d
d
d
d
a
n
s
a
o
r
r
a
i
de
-
6
6
--
n
;
+
+
+
+
+
+
r
+
{
+
a-
d
=
c
-
5
-
d
-
6
6
i
:
e
6
6
d
d
jd
;
d-
or
r
*
t
?!
9
q
-
a
9
q
-
a
9
a
-
n
9
1
:
n
9
q
-
n
9
q
*+
+
6
n
;
6
;
;
S
U
r
r
n
i
&
.
-
€
6
4
;
;
d
aa
a
n
n
n
i
l
n
i
l
n
d
N
&
N
d
N
&
^
N
^
^
^
n
n
83
3
3
3
3
3
:
3
t
8
8
8
3
3
3
t
3
=
ir
d
ir3.
e
?!
.:
Q
(J
6O
6
_
9
_
O_
a_
O_
a
d
F
d
t
d
r
l
C
a
."
-
a
a
?
-
-
?
9
:
a
:
9
:
:
+
o
|
i
|
?
n
.
9
9
|
n
n
o
d
.
9
9
|
r
l
?
1
n
d;
:
i
i
n
A
d
d
-
-t
n
t
t
-
n
n
n
l
n
t
r
t
n
a
a
n
n
r
n
n
n
n
r
r
n
!
r
a
l
n
n
n
n
n
9
a
a
a
:
a
:
a
n
a
a
ad
d
d
d
.;Ie'
-
!:;]
86
of
2
0
l
!!
!
n
9
1
1
1
1
a
l
l
1
1
1
n
1
1
a
n
a
i
a
r
i
1
n
n
n
l
l
r
n
n
n
a
l
n
a
n
5i
i
5
i
d
i
i
i
d
i
S
S
d
5i
S
S
o
o
o
o
d
i
d
o
o
o
o
S
o
66
6
6
6
c
6
6
6
6
6
G
6
€
6
e
99
!
!
9
E
i
l
t
t
I
P
q
q
q
Q
r
*
Q
=
=
Q
i
?
?
q
a
?
=
?
?
?
A
?
=
?
i
r
:
:
ll
n
9
r
i
9
r
i
e
q
q
q
q
F
€€
€
€
€
€
G
S
S
€
€
G
G
€
U
G
€
€
G
€
6
6
€
€
€
S
S
€
€
€
S
6
€
6
9
€
€
S
G
G
do
€
€
o
@d
o
c
d
€
d
€
6
d
c
d
d
€
qq
q
q
c
9
?
q
?
9
9
9
c
q
q
q
q
9
?
-
-
-
?
q
?
e
-
?
1
Q
?
Q
?
?
-
?
a
-
-
:
ii
i
i
i
i
t
i
i
i
\
i
\
i
t
i
i
i
i
i
i
t
i
i
i
i
t
i
i
t
i
i
t
t
t
i
i
i
\
t
EE
!!
3E
8
8
8
E
3
3
3
8
8
8
8
3
3
3
8
3
8
3
8
8
3
3
3
3
3
3
8
3
3
3
E
9
3
4
3
3
3
33
=
C
a
:d:,ia;j
:EC UA
is8.
e
6!o
.d
6
6
6
@-
d
r
d
;
+
6
d
d
6
6
d
6
d
-
d
F
r
-
o
ni
n
n
a
i
n
n
n
l
i
t
t
l
n
l
t
n
n
t
t
-
-
1
t
l
l
1
n
1
:
:
-
:
n
n
l
n
n
n
_o
^
I
t
**
d
d
o
d
5
6
9
9
a
?
:
I
?
I
:
n
:
?
:
e
:
?
:
I
9
9
a
n
9
Q
n
a
I
Q
f
a
!
?
|
n
6
?
I
n
I
5
;^
i
:;
99
9
9
9
9
9
9
9
9
3
9
1
9
9
9
9
9
9
9
t
t
t
t
n
n
n
r
9
9
!
n
9
9
9
r
9
5
5
5
^:
:
:
:
:
!
!
!
:
:
:
!
!
!
!
!
=
!
:
!
:
:
:
:
__
€
d
a
--
r
+
,
Oo
o
€
€
.6
a
o
C
ia
q
q
q
-
n
a
l
a
!
9
i
?
P
q
?
-
n
n
i
l
n
9
t
i
{
1
q
-
t
l
n
n
9
9
9
i
P
q
a€
c
o
6
d
6
€
€
€
o
d
o
o
o
o
a
o
d
@
na
a
a
a
a
a
i
n
n
n
n
t
n
n
-
n
n
t
n
l
a
n
n
n
n
n
a
a
a
a
38
8
3
8
8
3
3
3
3
3
A
3
8
3
3
3
3
3
3
4
3
4
3
3
E
3
t
t
3
E
-:
9
:
:
9
9
9
9
!
9
9
9
!
9
!
dd
d
d
d
d
d
d
d
d
d
i
l
d
d
d
d
d
d
d
d
i
l
d
d
d
d
N
d
d
i
N
d
dh
6
i
r
*-
-
-
A
d
nn
n
n
n
r
l
t
t
t
-
t
n
n
n
n
t
t
l
l
n
-
-
-
t
t
l
t
t
t
n
i.
+
6
d
-a
i
d
+
d
-
5
i
d
!9
e
q
n
!
{
?
r
9
q
:
n
9
e
:
n
9
P
:
t
9
q
a
!
9
q
a
a
q
e
:9
9
t
i
9
Q
t
n
r
9
n
n
9
Q
l
i
r
?
n
a
l
-
a
t
n
:
t
a
t
:
aT
:
?
a
a
a
n
?
a
a
=
:
7
a
9
a
n
a
1
1
a
t
:
n
a
n
f
a:
9
QT
r
r
-
P
q
e
c
e
q
q
?
?
?
f
!e
?
q
r
€
r
87
of
2
0
l
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
6r
3
6
0
5
6
0
ad
r
r
o
6r
F
d
d
d
d
-
d
N
:
3
-
5
6
F
n
6
6
a
N
+
d
oo
€
o
€
--
e
-
-
-
a
-
=
EB
,EE}
E3
3
3
3
t
3
3
3
E
a
E
E
3
3
E
E
E
E
E
E
3
8
8
E
E
E
8
3
g
3
3
8
??
=
=
Q
?
a
o
a
s
FF
F
F
F
€
g
C
6
A
F
€
F
,e
Q
-
_
_
a
@
Fr
o
r
+
o
r
*
-
r
o
t
.
-
d6
6
d
5
je
6
6e
d
-
-;
6
;
;
-
-
tr
l
t
9
i
t
!
q
Q
:
i
i
n
1
9
9
t
i
e
q
9
:
n
l
a
a
!
9
9
r
T
q
!\
?
q
!
i
q
n
!
i
Q
n
n
t
e
i
n
i
q
n
9
i
q
n
9
l
?
n
n
q
q
n
9
I
3QAE.
i
8.
e
FE.:
.:
Ll
(J
nn
n
l
n
n
l
i
n
n
i
l
i
a
a
a
a
a
a
a
n
n
a
a
n
l
n
a
n
n
i
a
a
n
n
n
n
n
la
!
=
!
a
i
!
!
9
4
9
!
9
9
9
t
r
t
r
9
t
r
!
9
t
r
t
r
9
t
r
q
*
E
c
-
o
o
q
ao
.
!
t6
5
8
t
5
5
5
5
5
5
5
5
;
t
6
;
5
5
5
d
A
5
d
5
5
5
5
5
;
;
;
;
t
d
;
;
=
6s
6
6
c
od
o
6
6
d
6
€
6
d
6
€
€
o
.
rF
r
r
r
r
t
s
r
ii
i
i
r
i
t
i
t
i
i
i
t
i
i
i
t
t
i
i
i
i
i
i
t
i
t
\
t
i
i
t
i
i
t
t
i
i
3E
3
3
8
3
3
3
3
e
E
E
3
3
3
t
E
E
8
t
E
3
8
t
C
E
E
E
3
3
E
8
E
8
3
3
3
E
,+
6
h
6
-
a
6
a
di
l
d
i
l
;
;
;
;
d
a
q
"
i
o
oo
3
0
0
:-
-
:
-
!L
:
!
-
a
!
!
!
:
Ji
I
J
:
l
l
i
J
:
_
_
:
88
of
2
0
l
oo
o
€
o
€
O
O
O
G
G
G
G
€
€
O
€
6
o
a
G
G
G
G
G
o
6
6
d
6
€
6
o
€
6
e
6
o
c
€
€
6
d
o
€
6
€
a
@
€
c
d
6
d
d
6
o
o
d
6
€
o
6
G
6
4O
a
h
+
5c
.
o
c
5
3
c
5
o
o
.
js
d
i
i
j
i
:
-
:
-
-
:
jj
:
j
_
:
:
:
_
_
_
_
_
j
l
ii
d
i
i
c
d
c
i
o
d
d
d
i
d
d
d
i
o
d
5
S
d
d
d
d
d
d
d
d
d
d
o
.
S
o
o
o
S
S
d
S
S
i
.
66
5
6
5
6
6
6
5
6
6
4
6
5
;
6
6
-
-
n
-
6
a
a
a
a
E
e
8
8
8
8
8
8
8
a
a
8
8
8
e
;
;
;
a
i
i
i
t
t
\
i
t
t
t
i
t
i
i
i
i
r
F
F
ts
r
F
F
F
F
ts
t
s
F
F
ts
F
F
F
ts
F
ts
F
F
F
F
dd
d
d
-
38
8
8
8
8
8
3
8
8
8
8
8
8
8
3
8
8
8
3
3
8
t
t
8
8
8
8
8
8
8
8
8
8
8
8
t
8
8
t
t
8
8
8
8
66
6
6
6
h
6
d
6
6
6
6
;
d
6
d
d
h
d
h
6
6
6
d
d
d
d
d
d
;
d
d
h
h
d
6
h
;
;
;
;
;
;
;
;
9t
i
1
!
i
i
9
i
n:
:
n
t
1
a
!
!
n
a
n
a
1
1
!
a
n
-
-
-
6
6
o
-
n
-
d
-
&
d
d
d
d
-
6
-
d
-
A
SR
R
R
S
R
R
S
A
R
R
S
S
S
R
R
R
S
R
R
R
S
R
R
R
R
R
R
R
R
R
i
R
R
R
R
R
R
i
i
R
R
:
R
3
9
9
9
9
I
9
9
9
9
9
9
9
I
9
9
9
9
9
9
9
I
9
6.
e
e
9
9
9
9
9
9
9
9
9
9
9
9
9
I
9
9
I
9
9
I
66
6
6
d
6*
q
q
q
q
q
q
q
S
q
q
E
q
q
q
E
q
6
6
*
*
a
a
G
a
G
s
€
€
6
8
e
3
a
a
a
e
e
3
a
a
a
a
a
dd
d
^
^
d
d
d
^
^
d
d
d
d
^
A
^
d
d
d
d
d
N
d
d
d
d
d
d
d
!q
4
5
6
6
S
q
!
4
S
q
i
S
E
B
A
q
A
S
A
A
A
B
a
t
e
I
e
e
E
!
a
r
r
8
h
t
r
r
s
5
5
5
5
6
d
d
6
6
d
d
d
6
dd
d
d
d
d
d
d
d
d
d
9
d
d
=
96
5
d
6
d
d
6
6
d
d
o
$a
^
-
e
€
6
+
O
-
-
-
;
-
6
d
+
6
i
l
-
-
-
6
i
l
4
L
-
,
-
L
r@
o
-
€
-o
a
@
6
5
d
d
6
-
SR
i
E
E
E
S
E
E
E
E
€
E
E
5
E
E
5
5
A
S
e
F
8
E
5
e
E
5
8
3
3
=
=
=
:
:
:
=
=
a
e
r
!
!
46
6
d
-
-
6
-
6
6
-
d
-
d
d
6
d
d
-
d
6
*
&
a
a
dd
d
d
d
A
d
-
d
-
-
-
-
-
-
6d
6
6
d
6
G
d
6
a
&
6
6
-
-
;d
d
d
d
j
i
6
G
d
d
:
-
h
o
-
i
-
d
6
6
d
d
-
-
;d
d
d
i
:
;
6
c
;
.
-
:
;
a
FF
T
T
F
T
F
F
F
F
F
d
d
F
F
F
F
-
-
F
F
F
F
F
F
FF
-
6
C
-
a
N
-
+
6
6
6
F
-
6
0
-
:
-
;
4
6
6
G
-6
d
6
6
d
d
6
d
6
6
6
6
d
6
d
6
6
d
d
o
€
€
G
F
d
d
i
d
r
r
r
i
i
r
r
;
d
d
d
d
d
-
;
;
66
6
6
-
6
4
6
6
-
6-
6
-
-
;;
;
;
;
o
d
d
d
i
i
j
-
n
n
d
d;
d
;
d
*
+
+
+
d
6
6
6
6
d
d
d
-
-
d
d
6
6
a
Q
n
a
9
Q
6
o
^
-
h
-
d
-
-
O
n
-
d.
n
-
6
-
i
-
6
=
-
i
6
=
il
+
6
=
d;
;
;
o
'
s
o
d
J
:
l
J
i
d
d
{
;
n
;
;
+
+
+
+
h
n
d
6
;
6
6
6
4
i
l
i
i
;
;
&
&
d
d
i
d
4
:-
-
-
n
t
i
n
n
n
n
t
n
d
d
n
t
l
t
n
n
n
a
f
f
"n
t
a
a
a
a
t
n
n
-
-
-
-
-
n
i
i
a
i
!d
!oaE.
s
Z.
e
EE
aao
tIt
q'E!{le1
}E
89
of
2
0
l
€a
€
€
€
4
o
6
6
6
A-
v
.
-
t
6+
6
6
6
6
6
6
6
6
6
6
6
6
6
6
e
o
e
€
e
€
€
6
6
6
6
6
O
9
6
O
6
6
€
6
6
6
6
6
6
O
6
9
6
6
6
6
6
6
6
O
G
6
6
6
6
6
6
6
6
6
6
6
€
€
€
6
FF
t
s
t
s
t
s
F
t
s
43
8
3
e
E
E
3
8
3
8
8
8
8
8
t
8
3
8
8
8
8
8
8
8
3
8
8
8
8
8
8
3
8
8
8
3
3
3
3
8
3
3
3
3
8
8
8
3
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
33
6
6
6
;
;
6
;
;
;
;
h
h
h
6
6
;
;
6
6
6
a
6
6
r
.
6
;
6
6
d
6
d
6
6
6
6
6
6
6
6
6
6
6
-
6
d
6
6
-N
r
e
€
!
!
!
q
q
r
P
l
q
e
q
q
q
n
l
l
l
i
i
n
l
l
l
l
l
a
a
n
l
a
l
l
l
l
l
n
l
l
l
l
l
9
i
9
n
t
P
t
e
i
{
i
9
9
9
9
t
9
6
r
-
r
r
4
!;
a
i
e
=
=
=
:
=
=
=
:
?
=
=
=
=
:
=
=
:
:
=
:
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
:
=
=
=
=
=
=
l
l
a
t
?
?
a
a
a
=
e
?
:
o
o
-
-
-
-
?+
-
r
o
?a
6
6
6
66
6
6
d
6
d
6
d
d
d
d
d
o
o
G
o
o
o
e
e
€
€
e
€
€
a
e
€
6
e
e
e
€
s
€
€
€
G
G
€
€
a
o
o
o
6
b
b
b
b
b
o
6
F
F
F
F
F
F
+
+
d
n
{
n
n
d
^
d
dn
d
^
^d
d
d
d
^
N
nn
d
d
A
N
n
^
^
^
n
d
n
^
^
dd
d
^
N^
^
dd
i
d
!(,
a
:.
9
.?
.2
-
F:e:
.:
H
I
3
Q-
d
6
€
66
6
6
5
d
5
5
--
6
d
o
r
d
-
e
d
d
€
-
-
-
-
a
d
dA
d
N
A
d
-
N
N
N
dd
N
d
-
d
-
-
-
d
d
d
d
ir
4
+
!
E
;
i
!
B
r
;
f
r
R
a
3
F
,
3
;
R
E
G
e
S
S
r
E
€
:
3
G
E
5
f
s
3
?
S
3
F
r
3
E
e
.
8
i
?
E
x
i
E
C
3
E
i
5
3
R
s
3
€
3
8
S
S
8
G
5
Ia
8
3
=
E
E
a
=
r
=
1
=
l
i
r
I
E
I
e
:
:
:
:
:
a
3
+
+
*
t
*
;
|
i
l
*
h
a
;
s
:
€
5
3
-
=
i
i
s
F
R
;
!
J
€
5
a
;
l
l
*
E
e
=
"
i
H
i
a
-6
€
6
6
-
-
€
6
-
-
-
6
-
-
-
-
-
6
-
d
-
-
*
&
A
&
-
-
-
-
-
-
-
-
&
-
i
a
9r
^
o
,
66
G
r
-
5
6
.
-
N
-
F
+6
aF
-
-
6
a
j
^
A
a
r
6
o
b
n
-
t
o
3
rr
+
i
*
n
+
+
?n
e
i
?
n
!
i
q
n
e
i
q
i
e
i
q
E
q
r
B
a
q
e
g
A
s
s
€
A
q
E
s
i
q
;
5
i
3
!
i
i
!
?
5
q
E
{
q
l
f
i
q
i
q
i
q
i
q
E
:
i
q
{
:
i
e
{
--
-
d
A
d
d
;
;
;
.
i
+
*
i
6
6
6
6
6
6
u
6
r
d
r
r
d
d
-
-
d
d
d
d
9
=
9
9
=
=
=
=
s
:
!
!
!
!
!
!
:
:
J
=
!
9
!
!
9
9
9
9
.
.'
"
i
.
-$
9
=
E+
}EdF
ra
r
:
n
n
9
i
t
a
9
:
r
a
9
:
a
a
9
:
1
a
9
:
t
a
Q
:
a
=
i
.
:
-
a
l
.
:
n
i
a
a
a
i
"
:
n
a
a
-
r
i
a
:
n
:
i
a
i
i
a
:
9
n
-
=
r
i
i
,r
q
?
?
?
?
a
?
a
?
-
-
-
-
n
d
^
d
a
-6
6
6
6
6
6
:I
l
i
:
--
:
t
:
t
-
-
i
-
ji
r
:
l
l
_
:
:
_
!!
!
r
a
i
J
J
_
_
:EIz3?n='
90
of
2
0
l
i3
i
$
s
r
s
s
E
r
s
a
s
*
!
B
r
$
s
s
s
3
3
8
B
$
s
$
*
3
3
3
s
g
s
3
a
*
*
i
r
r
s
*
;
*
*
c
E
*
*
*
*
g
*
s
s
*
*
!!
!
!
!
!
!
!
n
!
!
!
9
9
!
!
9
9
9
!
!
!
9
q
9
9
9
h
9
9
9
!
n
9
9
!
9
a
9
h
n
n
9
€
9
9
9
9
9
9
9
9
q
9
9
9
9
9
9
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
i
9
t
i
i
i
i
9
9
€
€
9
9
9
9
9
9
9
9
9
9
9
9
9
3E
3
3
3
3
3
8
E
E
E
t
E
3
E
8
E
3
3
3
t
E
E
E
E
E
E
3
3
E
E
E
E
E
E
E
E
E
3
3
S
3
3
3
E
3
3
E
3
3
8
3
E
3
8
3
3
E
3
iR?n
€e
€
c
a
a
9
c
?
€
a
e
a
a
e
q
q
?
?
q
?
P
e
P
?
P
e
P
T
r
f
Pa
!
c
e
€
€
{
q
r
?
T
q
a
{
r
q
Q
r
q
q
?
r
r
r
t
e
e
==
=
=
=
=
=
=
:
=
:
=
=
=
ii
i
i
i
i
i
t
t
t
i
t
t
i
i
i
t
t
i
i
t
i
i
i
i
i
i
i
t
i
r
t
i
i
i
i
t
i
i
i
l
\
i
i
i
i
t
i
t
t
i
t
i
i
i
i
i
i
\
ri
i
i
t
i
i
i
i
t
i
i
i
i
i
r
i
r
r
r
t
\
\
i
t
r
i
\
r
i
r
t
c
i
i
i
l
i
r
i
i
i
r
r
i
i
r
9
9
9
9
9
9
9
9
9
9
9
t
is8.
"
(J
nq
l
l
q
l
a
-
a
9
e
q
9
:
\
i
t
t
i
-
i
-
-
-
l
n
e
n
i
-
i
e
c
9
q
?
a
a
i
n
a
i
l
9
9
a
q
:
q
a
n
9
1
9
n
l
a
9
q
F6
O
F
r
o3
0
0
0
++
r
*
i
+
i
r
i
r
i
.
r
r
,
66
6
6
6
6
6
6
6
6
66
o
6
6
6
6
6
6
gR
e
B
n
a
s
=
E
s
=
r
T
=
R
s
=
e
;
E
R
r
E
?
p
8
B
:
5
g
t
a
a
*
l
B
s
$
n
r
D
;
1
g
q
:
E
a
s
i
e
:
6
q
:
C
q
i
C
r:
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
=
la
n
!
9
9
t
i
*
q
?
-
-
t
n
a
!
!
9
t
e
q
q
q
l
t
n
a
l
9
9
i
q
e
1
q
:
:
n
n
a
!
9
9
i
q
q
q
?
-
n
a
a
1
9
9
i
q
c
Ee
E
-
!
q
F
q
F
a
r
s
E
;
r
E
R
i
l
R
a
R
;
e
€
e
q
E
E
e
q
-
g=
H
-
i
i
I
Q
5
:
f
r
tB
i
q
q
q
i
q
A
A
i
E
E
=
-6
dd
d
9
9
=
9=
.
:
:
!
t
!
:
!
l
l
M
!
:
:
:
:
!
2
Z2
2
Z
2
2
2
2
22
2
2
2
2
2
2
22
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
>
2
2
2
2
2
2Z
2
>
>
2
>
>
>
>
Z
>
.I
?
n
n
I
I
r
I
9
9
n
r
r
?
r
n
n
I
n
n
r
Q
r
n
n
a
n
a
I
a
n
t
9
a
n
a
a:
a
a
a:
I
a
a:
n
I
n
:
I
:
I
:
n
a
a.
ac
o
c
o
::
:
-
-
-
d
^
i
^
n
n
i
l
n
n
n
n
n
i
l
i
i
i
i
d
n
n
A
4
^
^
^
^
n
N
{
^
i
^
d
{
A
d
n
A
i
i
n
i
l
i
l
{
n
n
n
i
l
n
n
n
i
i
{e
c
e
?
!
e
r
e
e
r
a
66
6
6
6
6
6
6
6
6
6
d
99
9
9
9
9
9
9
r
9
9
9
nn
a
a
a
n
n
a
a
a
n
a
?d
d
d
d
d
d
d
d
d
d
d
:5
6
6
6
dd
d
d
d
d
d
d
d
d
d
d
it
t
i
i
i
t
i
i
i
i
i
88
8
8
8
8
8
3
8
8
8
3
In
t
t
t
l
l
n
n
n
n
l
+j
d
t
d
d
d
d
d
5
i
i
1!
n
P
!
-
I
9
-
r
1
-
-n
n
1
1
n
9
i
f
!
q
?
:a
9
q
:
1
9
e
-
n
9
e
:n
l
?
i
9
n
?
t
a
!
?
9!
9
9
9
9
9
:
r
r
?
9
9l
of
2
0
l
idg8:3E}
it
t
i
9
9
9
9
9
9
9
9
9
i
r
-
r
r
i
i
i
t
i
i
i
t
t
i
i
l
i
i
t
t
i
i
t
i
i
i
i
i
i
i
F
t
i
i
i
i
i
\
-:
-
-
N
--
&
-
6
.5
5
5
6
56
5
6
6
@
-
6
6
r
-
5
@
-
*
*
-
c
€
-
€
c
c
e
a
e
c
q
e
e
a
q
4
qa
.
q
a
<
eP
*.
q
q
q
a
c
*
c
q
c
?
r
r
a
a
<
?
P
€
a
c
?
e
a
e
f
e
6€
6
d
6
6
d
€
€
o
€
o
a
€
o
o
d
o
€
a53r
R
S
t
t
3
X
3
t
3
;
8
a
E
6
e
8
3
g
3
S
$
$
E
J
;
*
9S
S
8
*
*
E
t
t
S
A
$
c
$
;
!
;
S
!
3
;
!
e
*
FF
F
F
F
3t
88
3
ll
q
q
q
q
q
q
q
q
e
r
9
e
a
t
r
e
i
i
e
*
P
9
9
i
i
t
i
*
i
i
t
9
i
t
i
9
9
i
i
9
i
r
c
38
8
8
3
5
3
5
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
3
8
8
8
3
ti
i
i
i
t
i
i
i
t
t
t
t
i
t
i
i
l
i
i
i
i
l
i
t
i
l
l
i
i
i
i
i
t
i
i
i
i
i
i
i
t
i
i
i
i
i
i
i
i
i
i
ii
i
i
i
i
?
i
i
=
i
=
?
?
a
i
i
i
:
=
"
i
?
i
i
i
:
i
i
?
i
?
i
i
i
i
i
i
=
3
3
3
3
i
=
3
i
3
3
3
3
3
;;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
6
;
;
;;
h
;
h
d
r
hr
dh
6
6
d
6
h
6
6
6
d
h
h
r
'
d
;
6
h
;
c
d
d
6
6
!(J
0
EE
,
_q
.z
.=
.:
q)
ir
i
-
9
G
G
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
q
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
-_
3
;
s
;
s
s
E
s
h
a
E
q
E
!
r
i
f
r
Q3
r
9
I
q
n
!
i
Q
n
!
t
q
n
!
t
a
n
!
t
q
n
n
i
?
n
I
e
a
n
I
e
I
n
I
e
q
n
9
r
:
I
:
:
:
I
I
:
:=
:i
^.
^
.
_
_
--
d
d
o
6
o
d
=
=
=
=
=
=
=
=
1
1
:
=
=
=
99
?
n
n
9
?
t
t
9
9
e
a
l
?
n
a
n
e
n
n
n
q
n
n
n
?
f
l
a9
i
n
a
:
:
n
a
r
:
n
1
l
:
a
a
9
:
1
9
9
:
n
::
:
:
:
:
n
i
i
i
n
f
l
n$
n
n
n
n
n
l
n
n
n
n
n
n
n
n
t
*
n
n
n
t
n
n
n
n
n
i
n
l
n
t
n
l
!
t
t
a
t
n
4
aq
a
q
e
P
c
?
r
r
r
a
e
a
P
<
e
e
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
aa
a
q
a
n
i
n
a
a
a
a
n
i
i
i
n
l
a
iq
t
t
l
n
i
9
i
n
!
!
9
9
9
9
n
n
n
88
8
8
8
8
8
8
8
8
8
8
3
3
3
8
3
8
3
Er
3
3
E
E
3
3
E
€
3
3
3
8
3
3
t
t
3
!:
:
:
!
:
:
:
:
:
:
:
:
!
!
!
9
9
!
99
i
i
i
t
9
9
9
t
i
i
l
9
i
t
i
i
l
aJ
€
F
6
b
i
-
i
r
66
6
6
-
6
h
6
6
6
6
d
h
6
n-
q
n
a
€
!
-
r
n
-
{
t
:
{
9
:
e
!
;d
6
6
6
€
d
r
r
F
F
d
d
d
-
a
r
6
6
in
9
a
n
:
n
a
i
:
!
.
n
t
!
:
i
ne
a
d
c
n
n
e
d
d
d
n
re
q
q
e
?
q
<
r
e
e
c
9
-
92
of
2
0
l
E3
E
t
3
3
E
E
8
3
8
E
3
3
3
E
3
E
3
E
3
8
8
8
E
3
3
8
3
3
E
E
3
t
3
E
t
e
t
E
E
3
3
3
3
6d
d
r
-
€
€
i
;
+
n
6
-
6
6
e
;
d
;
S
d
d
d
i
6
h
d
i
d
^
-6
o
^
d
i
d
a
-
-
.!
:
.Ezz
\9
9
9
i
i
C
i
i
i
t
i
t
i
9
9
9
9
i
t
t
i
i
i
i
i
i
t
i
q
i
i
l
t
i
i
i
t
t
t
i
t
i
i
i
9n
n
q
!
€
t
9
!
!
!
9
9
9
i
!
n
1
!
9
1
n
n
1
n
-
Q
-
@
6
€
-
?
n
n
-
i
1
?
-
-
1
:
-
?
88
8
8
8
3
8
3
3
8
8
3
3
8
8
8
8
8
8
8
8
8
8
8
8
3
3
3
.
1
4
a
3
3
3
3
3
3
8
4
3
3
3
8
8
F\
i
\
i
9
i
9
9
9
9
9
i
i
i
i
i
i
9
i
i
i
i
t
FF
F
T
T
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
i
9
t
i
i
t
i
9
9
9
9
9
i
i
9
9
9
9
i
aO'E,
i
.2
,
.=
;H(J
dd
jd
+
G
d
o
-
-
6
€
-
o
-
e
;
o
-
c
:
;
;
d
i
d
:
;
d
F
q-
t
n
n
a
9
9
i
t
{
q
q
-
-
t
t
a
t
t
9
i
e
l
q
q
-
1
n
n
l
n
9
t
!
!
q
q
-
n
n
a
a
!
9
SF
E
E
;
F
6
R
A
F
3
F
S
F
3
F
S
F
3
3
A
R
3
R
3
e
3
3
3
8
3
S
3
;
8
;
3
;
5
q
E
A
E
q
f
r
6-
:
r
i
:
a
a
d
a
;
d
;
;
;
-
=
o
6
d
d
6
;
o
6
6
F
F
r
r
ar
o
9
9
9
=
=
=
=
dd
d
6
6
d
A
d
;
5
ji
r
:
d
i
n
i
;
;
;
;
;;
;
n
6
n
6
6
6
6
i
oF
F
r
F
-
&
-
-
a
6a
ll
n
!
I
I
I
n
n
I
I
n
^
i
I
n
n
l
I
&
A
&
&
n
d
N
d
n
n
n
n
N
d
N
n
d
n
d
d
n
99
9
9
i
i
i
t
9
9
9
9
9
i
i
i
na
q
a
a
n
n
a
a
r
t
n
n
n
!
n
e
q
n
a
n
a
a
n
a
a
t€
e
?
c
€
c
€
c
t
t
e
?
e
q
{
{
e
q
q
e
c
?
q
{
c
38
3
3
8
8
99
9
9
9
e
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
i
ti
t
i
t
i
i
i
i
t
i
i
i
r
i
i
i
i
t
i
i
i
i
t
i
i
3E
E
E
3
3
3
3
E
E
E
3
C
3
E
8
E
E
E
E
E
3
E
3
3
E
;e
;
r
r
r
h
h
6
d
dd
d
6
d
F
F
F
d
-
d
d
t
6
6
6
ft
i
n
n
n
a
n
a
n
:
:
a
t
:
n
a
9
:
f
a
?
:
t
1
?
rn
n
n
n
n
n
n
n
a
a
e
n
n
n
r
n
l
n
n
n
n
n
9
t
t
re
9
9
9
9
9
i
i
i
9
9
!
9
9
9
i
i
r
i
i3
3
C
E
E
E
3
g
=
E
E
9
i
=
3
=
C
3
i
93
of
2
0
l
:IE:
.
>€
ic
i
i
q
i
i
i
i
i
t
F
i
i
F
t
t
i
F
i
i
i
i
r
i
i
i
i
\
r
i
i
i
t
i
t
i
t
E3
3
8
E
3
3
3
3
3
E
t
A
E
g
E
3
E
3
3
E
E
E
E
E
E
E
E
E
E
E
E
3
E
8
3
3
3
ii
i
i
i
i
i
i
i
r
r
t
i
t
r
r
\
\
i
\
i
r
i
t
i
i
i
c
i
r
t
i
i
r
F
i
r
i
o"
r
+
h
e
h
6F
O
^
6
0-
6
6
3
-
h
-
5d
i
:
:
i
^
d
d
d
66
o
d
o
d
d
d
d
d
d
-
d
d
r
i
6
a
!E.
E
2.
2
(.
)
n!
9
!
!
!
9
!
!
9
1
!
9
9
4
1
9
9
9
n
!
!
9
9
4
!
!
n
!
1
9
9
!
!
n
!
9
9
4@
@
-
-
€
-
-
q9
n
9
9
n
q
i
n
q
i
1
.
q
l
-
e
9
n
!
n
a
q
9
n
q
9
n
q
9
a
q
9
a
q
t
n
a
€5
5
5
E
5
nE
q
q
q
?
r
?
q
a
q
q
!
qq
q
q
*
q
q
q
q
P
I
a
a
q
q
6
q
5.
a
d
qq
si
d
i
d
i
i
o
i
i
i
o
d
S
S
d
o
o
d
d
r:
1-
1
6
=
n
a
*
?
q
-
r
F
a
ri
i
i
i
:
i
i
i
d
i
i
a
o
i
i
o
a
a
>
i6
6
6
5
6
'
n
83
3
3
8
3
8
8
8
3
3
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
6;
d
d
d
d
6
6
-;
6
6
6
6
6
6
6
b
;
6
d
6
6
6
6
c.
6
-
Fi
i
i
i
t
t
t
i
i
-
i
i
t
t
9
i
i
9
d
d
d
d
d
n
n
n
n
d
d
n
n
i
n
n
d
N
^
^
^
^
N
d
N
N
N
^
i
O6
s
F
r
o
r
r
-
r
-
=
t
:-
-
d
d
d
n
d
9t
r
q
q
q
-
n
n
!
t
n
9
i
e
*
q
Q
-
n
n
n
a
9
9
i
i
-
n
"
-
-
a
CG
G
G
G
S
S
S
S
G
S
S
S
G
E
S
G
G
G
€
G
G
G
B
B
B
B
E
G
B
€
G
S
9i
*
?
9
:
i
a
n
:
n
a
I
.
s
:
t
:
a
:
n
a
n
a
9
:
n
a
n
:
l
a
9
:
I
9
9
9
9
9
9
I
I
n
9
n
:
?
t
9
9
9
99
9
1
I
n
:
y
1
n
n
t
I
t
n
oo
€
o
€
o6
€
o
€
€
d
6
6
d
o
o
a
d
G
d
6
d
c
i
do
c
o
94
of
2
0
l
o6
€
o
o
o
o
o
o
o
5{
?
P
t
9
9
9
i
e
t
i
!
!
!
9
t
i
9
!
9
9
n
!
i
9
9
9
9
9
9
9
n
9
9
9
9
9
9
9
f
a8
8
8
8
8
8
8
8
8
8
8
33
8
3
8
3
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
rr
q
r
r
i
i
t
i
t
i
r
\
i
r
t
i
i
i
i
t
i
t
r
t
l
i
i
t
t
i
i
t
i
i
i
i
i
i
t
E3
3
E
3
3
3
3
e
8
A
E
3
t
E
E
E
E
E
E
e
E
E
t
E
8
E
3
8
t
8
3
3
3
3
E
3
3
3
3
*q
c
e
c
e
q
q
c
*
e
e
q
q
e
f
e
e
e
e
*
a
e
e
e
q
q
a
q
a
c
c
e
f
q€
t
e
e
Qq
q
P
{
q
!
r
?
?
e
{
{
a
r
qq
q
q
r
€
q
6P
e
q
r
r
qe
o
q
P
q
€
!€
a
3:i9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
-
:
-
-
-
-
-
-
i
:
-
-
-
-
-
-
-
-
-
-
a
-.
-
a
-
:
-
-
a
:
:
:
:
:
:
:
-
1
a
-
6-
=
d
5
6
6
o
r
6
6+
6
+
;
d
d
;
-
+
;
d
;
A
;
6
+
-
*
;
33
3
3
3
00
0
3
5
q€
i
r
i
t
t
t
-
I
e
r
q
@
o
P
a
r
q
q
e
q
q
q
r
_
a
q
n
?
3
qq
Q
q
q
?
?
o
?q
d+
6
F
6
-
d
+
6
F
a
-
d
+
di
d
jd
+
6
r
d
r
-
r
6
6
6
i
?n
n
e
q
n
n
q
Q
n
!
n
Q
n
n
<
c
1
9
9
-
a
9
?
.
a
9
t
-
n
9
e
-
a
9
q
-
a
9
e
il
a
9
:
l
a
n
:
i
:
9
:
n
a
9
:
l
a
I
:
n
a
9
:
t
a
t
:
t
n
n
a
n
l
n
:
l
t
9
?
a
?
e
a
Q
Q
?
i:
a
:
i
i
:
:
a
:
a
:
:
:
:
a
:
-.
a
-
-
-
:
:
:
:
:
:
:
:
:
:
EI'c
it
t
t
i
i
i
i
l
i
i
i
t
i
t
t
i
\
t
t
t
i
i
i
i
i
i
i
i
i
i
??
!
P
t
r
e
?
P
r
c
€
a
r
a
@
@
r
a
P
e
€
e
f
rq
q
q
e
-
e
!oa
t.
E
3.
9
c4o
3E
3
E
3
S
E
S
t
E
E
E
E
E
E
E
s
E
E
t
3
E
E
E
E
B
E
E
I
E
S
!!
!
!
!
9
!
!
!
!
!
!
9
9
:
=
:
:
!
:
9
:
:
:
:
:
:
:
=
9
:
n9
1
9
9
9
i
9
!
!
\
9
i
i
!
!
9
9
i
9
9
9
9
!
9
9
9
9
i
t
i
88
8
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
{<
<
?
r
e
?
c
q
r
{
e
<
a
<
c
c
{
c
a
*
r
q
e
a
€
q
?
c
P
e
ci
i
t
i
i
i
t
i
i
i
i
i
i
\
i
i
i
i
i
q
i
r
q
i
i
r
i
i
r
i
ii
c
i
i
c
i
i
i
i
i
i
\
i
i
i
i
t
t
t
t
i
t
t
i
t
t
i
t
a
i
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
?9
?
9
?
?
:
-
-
-
-
-
-
-
:
--
:
-
-
-
-
-
?
5
o
6r
-
i
d
+
6
F
6
5
d
'
6
F
5
o
d
,
d
F
o
jN
+
6
o3
-
:
-
-:
-
j
i
N
d
N
d
d
d
d
i
N
N
n
d
;
;
;
;
..
:
-
-
-
d
d
d
N
-
;
6
-
i
r
i
!
;
;
d
d
dO
d
d
F
i
d
F
d
r9
?
t
n
t
9
t
r
n
9
t
r
:
9
n
n
9
?
n
r
9
Q
n
t
9
9
l
n
9
9
::
:
:
:
:
t
f
n
n
n
t
n
t
i
n
n
n
n
n
n
l
n
n
n
l
n
n
n
n
n
95
of
2
0
l
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
ir
r
r
i
i
i
r
i
i
l
i
i
i
i
i
l
i
i
c
i
i
i
i
i
t
i
q
i
i
i
i
i
i
t
r
r
i
i
i
i
i
r
i
i
t
t
F
a8
;
8
8
8
8
8
e
a
8
e
8
;
e
3
a
8
8
8
8
4
;
;
;
e
8
8
8
8
;
;
A
;
;
;
8
8
8
a
8
8
a
8
8
$
S
r1
?
?
?
:
=
1
1
1
=
M
r
:
?
!
!
!
1
?
1
1
1
1
!
?
?
M
=
!
1
1
!
!
!
1
=
?
?
:
1
!
?
88
r
r
r
3
r
8
E
E
E
3
E
E
E
5
8
8
8
8
8
8
8
=
5
5
8
3
3
8
8
8
5
8
8
3
8
8
8
5
5
=
=
8
8
8
8
\t
i
i
t
i
i
i
i
i
i
i
i
i
i
t
r
a
r
r
\
r
i
F
l
t
\
i
t
t
i
i
i
i
i
i
i
i
f
ti
t
t
i
i
t
t
A3
T
E
3
E
E
T
3
3
3
8
t
8
3
8
3
3
3
3
3
3
E
E
I
E
E
E
E
3
E
E
E
E
3
E
E
3
E
E
E
E
E
3
8
8
E
In
r
.
n
a
?
-
n
f
91
n
:
9
a
1
a
9
:
t
:
9
-
t
a
?
i
n
i
9
:
n
n
9
:
a
a
9
:
t
t
9
:
t
a
9
nn
n
S
n
n
n
n
n
t
n
n
t
n
l
a
n
i
r
n
n
n
n
a
r
r
t
n
n
n
9
n
t
r
r
9
n
n
n
e
t
n
l
t
t
n
t
n
r
i
q
9
n
?
9
a
i
I
?
n
I
q
q
q
I
I
I
r
I
i
i
a
n
!
n
9
n
I
n
I
I
€.
q
i
q
q
a
q
-
6
F
!
1
a
r
6
-
d
n
d
e
6
-
;
+
6
€
6
-
-
6
6
@
o
:
d
d
€
-
o
-
;
6
d
d
i
d
d
6
F
-
d
d
r
d
F
d
i
d
+
d
na
!
9
i
i
e
q
9
:
-
i
n
1
9
!
9
i
q
q
q
q
a
l
t
a
:
!
9
t
q
e
q
Q
-
1
n
n
1
l
9
i
i
a
l
c
-
!t
-
?l
;
;
6
5
;
;
i
;
?
a
t
*
q
a
!
{
?
n
9
q
?
n
!
q
q
19
q
-
n
9
e
-
a
9
e
:
a
9
!
:
i
I
q
-
a
9
E
E:
E
!.c4>eE}aQAE.
r
?.
e
LE
!(J
iq'9
96
of
2
0
l
33
8
8
3
8
8
3
3
3
8
8
8
3
3
8
8
8
8
8
8
8
8
8
8
3
8
8
8
3
8
8
8
8
3
8
8
8
3
3
8
3
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
t
8
8
3
8
3
d@
d
d
d
@
-
d
d
-
d
-
d
d
d
d
-
r
€
-
€
€
r-
d
-
-
-
-
-
-
d
d
-
-
d
t
-
-
e
*
r
d
@
€
d
d
e
-
d
;
d
;
;
;
;
;
;
;
-
3
I
3
3
-s
3
8
8
=
8
I
3
3
3
8
8
3
3
3
3
3
8
3
3
3
3
3
E
3
8
I
I
3
3
I
t
3
3
3
3
3
3
I
3
3
_e
3
3
3
8
I
I
3
d-
-d
d
-
d
-
dd
d
€
d-
d
-
d6
t
-
-
d
d
o
da
-
-
€
d
-
d
-d
i
-d
dd
d
d
x
de
&;
;
;
;
;
;
;
;
;
8s
+
;
?
!
s
4
F
3
;
q
q
i
E
n
q
E
t
*
i
q
q
:
5
3
n
q
1
E
-
c
i
4
g
E
q
i
F
g
6
c
E
t
d
E
4
i
s
q
g
\
l
-
E
F
E
I
i
q
!
i
Q
.
S
E
_
1
!
p
A
:d
;
;
;
d
;
=
:
9
9
a
R
S
F
&
5
3
;
S
:
3
8
?
;
t
9
$
$
;
3
f
i
3
f
r
8
G
g
3
G
g
e
S
E
p
F
A
;
$
3
S
g
e
a
3
8
S
E
E
i
E
E
9
:
:
l
:
:
3
-
,+
a
i
6
6e
o
o
o
6
6
6
d;
h
6
6
;
;
h
h
d
d
G
6
6
h
6
6
6
d
6
v
'
d
6
6
d
d
a
'
d
h
6
d
h
h
h
h
;
h
6
h
h
6
6
d
d
d
6
d
d
6
;
-
-
-
-
;
;
;
-
;
;
;
;
;
;
;
;
;
;
u-n
{
9
n
a
i
l
9
q
l
9
9
a
q
q
l
:
a
n
:
9
9
q
t
q
q
q
q
e
-
a
1
-
-
q
q
q
:
9
:
-
-
q
n
n
-
1
t
n
a
a
1
1
a
9
9
9
9
9
9
9
9
9
i
i
9
9
9
11
:
q
r
t
i
i
c
l
q
?
n
n
n
n
n
n
n
a
a
a
n
Q
q
P
?
i
e
?
c
{
a
9
i
-
-
-
t
i
1
9
9
i
i
i
i
i
t
9
9
9
9
!
a
I
-
1
p
--
-
-
-
-
6
4
&
re
:
a
!
1
a
i
l
c
c
a
a
!
9
?
q
?
:
1
1
1
!
!
1
9
9
!
i
9
9
9
9
i
l
a
!
l
!
a
9
i
!
a
n
q
r
1
l
r
!
a
r
n
t
i
-
9
q
t
9
1
9
1
9
9
9
9
1
!
i
fS
a
a
S
a
3
e
B
a
a
a
a
s
s
a
E
E
E
E
E
E
€
3
t
3
t
8
8
8
8
8
3
8
8
8
8
8
8
8
8
3
3
8
3
3
8
8
8
8
8
8
3
8
8
8
3
e
*
$
S
9
e
S
s
e
e
3
$
o€
€
O
O
G
9
O
O
O
O
O
O
O
O
D
a
O
O
6
O
O
6
b
6
6
6
6
6
h
h
6
6
h
td
IeIdE8-
:
1A
=7
r
Ca
9
9
o
o6
9
6
6
o
€
€
6
d
6
9
9
9
9
9!
!
9
r
d
6
o
n
d
6
;
;
;
oe
o
o
e
od
n
o
r
q
d
6
+
=-
q
9
*
q
q
-
n
q
l
9
n
q
l
q
q
n
9
n
l
a
9
q
i
!
q
a
P
i
-
-
i
n
q
n
i
!
f
a
q
t
q
l
9
q
9
9
i
q
l
l
9
n
1
q
f
n
1
-
q
?
i
a
?
1
9
?
a
!E
-n
=:
3
t
54
e
5
35
3
-3
3e
3
3E
E
5
=
I
l
3
R
r,
r
?
3I
3
5
3
e
=:
=
5
3
S
3
8
5
e
8
3
3:
=
=
3I
=
5
r
B
55
R
I
R
e
=5
=
I
o@
r
r
-
5r
€
F
F
-
-
-
o
F
F
G
F
r
r
r
o
-
-
6
r
i
-
-
F
F
G
G
G
F
6
5
6
F
??
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
i
i
i
f
i
?
?
?
?
?
?
?
?
?
9
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
?
?
?
C
?
?
?
?
?
?
?
?
?
e
b6
o
-
F
o6
d
a
+
-
&
4
5
3
+
-
;
d
r
6
-
F
F
6
h
a
6
6
-o
r
-
€
or
F
oh
,r
F
.
-
+
6-
3
4
6
6
r
-
F
.a
?
;
;
i
q
.
:
r
.
J
f
.
}
a
f
f
a
?
.
l
.
l
'
t
1
"
J
T
t
.
J
'
:
i
t
.
r
.
]
T
T
T
?
T
a
a
r
t
.
t
a
a
l
.
n
'
t
?
a
q
a
a
q
a
a
a
.
:
a
a
.
:
.
:
a
a
i
l
+
.
t
.
:
.
t
q
q
.
r
!E?.
e
E}
E'
(J
??
r
-
!
!
6
d
9
!
-
t
3
9
t
a
5
3
6
t
??
=
-
o
6r
r
r
^
F
6
d
i
h
6
0
0
0
__
d
N
d
d
-
F
n
5o
o
d
5
o
o
o
5
i
i
-
3
o
-.
i
=
o
i
5
5
d
d
o
o
5
i
i
.
o
o
d
i
o
o
o
o
o
dd
d
d
d
d
o
5
d
d
i
3
i
i
o
c
.
i
i
o
-6
-
a
o
a
e
€
6
d
66
6
9
i
P
t
i
f
-
a
n
9
i
f
r
l
q
q
q
q
q
-
:
-
-
-
-
i
n
n
n
l
n
l
n
N
^
-
:
-
l
a
a
n
9
t
t
i
r
i
t
i
i
t
i
i
t
i
t
9
€
c
i
e
q
l
l
l
dG
d
!
=
9
9
!
r
=
=
=
=
=
=
=
=
=
1
1
1
1
9
9
1
9
1
1
9
1
1
9
1
1
1
1
1
9
1
9
1
1
1
1
9
9
1
3
1
1
X
9
1
X
X
1
X
X
1
9
:
:
9
r
=
=
=
=
=
!E
C
E
E
E
E
E
€
E
C
E
E
€
!
!
E
!
€
E
€
E
E
E
s
E
E
E
€
E
E
E
E
E
E
5
E
E
3
3
E
E
3
E
8
8
S
S
E
5
8
5
8
8
5
5
8
8
5
€
8
8
8
5
8
5
8
8
S
&
&
A
A
A
&
A
&
T
A
T
A
4
A
A
A
A
A
A
A
O
I
T
O
A
A
A
A
A
A
A
4
i
C
C
dE
E
d
d
d
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
E
d
d
E
d
d
E
N6
6
O
d
^-
6
a
d
a
6
o
i
;
6
-
n
;
ia
-
=
=
-
!
a
e
r
i
'
{
n
n
=
n
;
*
;
6
f
r
f
r
d
6
6
6
i
l
i
;
d
;
;
;
;
a
A
6
d
a
6
d
d
:
:
:
i
n
n
n
n
;
-
-
-
*
;
=
*
-
-
;
d
;
6
6
;
i
l
d
i
,*
+
+
i
+
+
+
+
.-
-
-
!
:
-
:
:
:
J
]
:
j
J
:
-
-
-
-
L
!
:
:
:
:
!
!
!
!
.
!
:
'
.
!
.
-
-
!
:
J
]
]
I
j
j
:
j
J
J
:
:
:
-
ln
n
l
n
n
n
1
l
l
n
n
l
n
n
n
n
n
n
n
n
i
n
n
i
n
1
n
1
l
l
n
n
|
|
l
l
n
n
n
n
n
n
n
n
l
n
n
n
n
1
n
l
l
n
n
l
l
n
n
3-
.
o
e
ao
a
a
o
o
a
5
a
a
a
S
S
j
j
j
i
S
S
Aa
i
i
-
i
^
A
F
a
-
F
-
-
&
F
-
-
i
^
d
^
-
^
n
i
^
d
-
-
-
-
-
-
N
d
d
d
-
97
of
2
0
l
83
3
3
3
=
A
I
3
3
3
3
E
E
E
3
E
3
E
8
8
E
E
E
E
E
E
3
E
E
3
3
E
3
3
E
3
3
E
3
3
3
3
3
3
E
E
3
3
E
3
E
E
E
E
E
E
E
E
E
E
99
9
9
9
9
9
9
9
9
9
9
P
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
qq
q
q
q
q
n
!
q
t
!
9
t
9
!
a
a
a
i
:
?
Q
q
?
q
q
9
?
:
:
9
q
e
e
f
99
9
9
a
a
-
q
€
!
q
q
q
i
9
9
9
9
i
9
9
9
t
9
i
a
9i
-
9
i
t
1
a
!
i
e
?
q
i
9
9
l
9
n
?
1
9
i
i
i
l
!
9
9
9
1
9
!
n
!
!
l
9
9
9
9
9
n
n
a
1
1
l
n
-
q
9
9
9
A
Q
Q
-
-
e
A
an
n
:
?
c
q
q
a
9
?
?
q
q
*
*
i
9
9
1
t
n
n
?
1
i
9
9
9
9
9
n
!
l
l
n
I
n
n
n
a
n
-
-
-
i
q
q
a
q
q
a
q
i
9
!
9
!
9
9
9
9-
?
1
1
9
i
?
n
n
-
n
n
i
9
i
9
*
n
n
-
!
t
!
q
9
:
:
\
l
t
q
n
!
!
9
?
n
!
t
n
e
-
1
q
t
?
?
Q
9
r
l
!
a
-
9
!
9
t
a
9
nn
n
n
n
l
n
l
l
l
n
l
l
n
n
t
t
t
n
n
n
t
l
t
q
n
n
n
n
c
i
t
n
n
n
n
n
n
n
n
n
q
n
n
n
q
q
n
i
n
l
n
n
n
n
l
t
n
n
l
n
d
d
n
-
*
-
€
€
-
d
d
d
6
-
-
-
;
dd
d
d
-
-
dd
d
d
i
d
n
-
d
-
d-
-
-
i
t
d
*
d
*
d
d
d
d
d
-
d
d
d
d
-
-
e
nl
l
n
i
l
l
l
l
l
n
l
l
n
n
i
i
n
n
n
n
q
q
n
n
q
n
n
t
t
l
n
n
n
n
l
l
n
n
t
i
n
l
l
n
n
n
n
t
l
t
s
n
n
l
t
n
n
n
n
n
q:ga{E21
'e
le
n
n
n
n
n
l
r
n
-
Q
P
r
9
t
r
t
t
i
i
!
!
!
9
9
9
i
t
9
!
t
a
9
9
a
a
n
a
n
a
9
9
9
t
q
q
q
€
i
9
a
9
9
9
i
9
9
n
\
9
E.
q
8.
e
O
?9
9
?
?
?
?
?
?
?
?
?
?
?
?
?
"
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
l
?
?
?
?
?
?
?
?
?
?
?
?
?
9
9
C
?
?
?
9
?
9
9
?
?
?
la
a
l
t
l
n
n
n
n
q
a
n
n
a
n
l
l
n
l
l
l
n
l
r
n
t
n
r
l
n
n
l
n
n
l
t
t
n
a
t
n
n
n
t
a
n
n
l
t
n
n
n
n
n
n
n
i
a
a
a
:
:
5
:
:
"E
:
:
:
5
:
:
:
:
:
:
:
:
.€
-5
:
:
:
:
:
.5
"E
:
:
:
:
:
:
:
:
:
"
:
:
:
E
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
:
--
-
;
a
66
-
d
-
5
r
:
r
r
M
n
;
J
;
;
;
;
+
+
;
;
;
;
66
6
6
-
5
0
.
-
-
o
o
3
5
.
5
.
o
4
6
6
6
0
0
0
0
d+
6
d
5
:
;
6
r
;
33
3
3
8
3
3
3
8
3
Nd
J
J
;
;
J
;
J
J
99
9
9
9
9
9
9
9
9
99
l
a
n
n
n
I
n
n
ni
q
n
q
q
-
a
1
ti
9
n
a
n
9
i
9
9
dd
d
6
d
d
-
-
-
d
9t
l
=
=
9
9
9
9
9
IY
Y
Y
Y
I
I
I
Y
Y
an
t
l
n
l
l
a
l
a
E8
E
8
€
5
5
5
8
5
AA
A
A
I
9:
n
a
l
i
n
i
n
i
98
of
2
0
l
!t
A8
E
8
3
3
3
E
E
8
A
3
E
8
E
3
8
E
3
3
3
3
I
E
3
3
E
E
3
3
E
3
E
E
E
E
E
3
8
E
E
E
E
E
T
E
E
8
A
E
t
3
3
t
3
d
d
6
6
d
d
d
d
d
d
6
d
d
d
6
-
d
d
d
h
6
d
6
d
h
d
q
o
n
n
6
6
6
h
d
d
6
6
6
?9
q
q
q
q
q
a
q
q
q
q
a
a
r
*
i
9
9
9
9
!
!
9
!
l
l
n
a
n
a
n
n
n
t
n
q
-
c
9
q
q
q
q
9
i
-
-
-
:
-
-
-
n
i-
a
-
9
n
q
i
a
q
9
:
!
q
r
a
9
.
9
q
i
l
i
9
9
e
n
?
a
n
1
-
q
a
n
9
a
q
t
Q
\
s
i
-
t
n
a
9
9
T
1
a
t
a
oo
.
3
-
-c
o
1
6
5
.
-
-
nn
l
n
l
l
l
n
l
l
l
l
l
l
n
l
n
l
n
l
l
n
n
n
n
i
n
n
n
n
l
n
n
n
n
n
n
n
t
t
n
n
q
n
n
n
l
l
t
l
n
n
l
n
n-
q
q
q
q
a
e
q
q
?
q
i
9
9
!
!
!
l
n
n
n
l
t
l
l
l
n
n
-
-
9
9
c
q
1e
i
9
9
9
9
i
t
q
1
1
?
?
-
i
-
-
-
Tl
a
i
q
?
q
q
q
q
-
a
1
1
9
9
9
9
1
1
9
e
q
c
-
q
9
-
n
t
q
l
t
c
q
l
-
n
a
q
n
9
1
-
n
1
1
t
a
1
a
a
9
q
!1
1
1
1
1
1
n
n
t
n
t
t
:
:
q
q
e
\
F
ln
n
n
n
n
n
t
n
t
n
n
r
n
l
l
n
l
n
a
a
q
q
n
q
q
l
n
n
n
n
n
t
n
n
n
t
l
n
n
l
n
n
n
l
n
l
l
t
a
n
l
l
l
??
?
?
?
"
?
"
?
?
?
i
?
?
?
?
?
?
c
c
?
?
9
9
9
?
?
?
?
9
4
?
a
c
?
e
?
?
a
a
e
?
?
?
i
a
e
9
?
?
?
?
?
q
na
i
l
n
a
a
a
a
t
a
a
a
a
t
n
n
a
n
l
n
t
r
n
n
!
n
n
t
n
n
t
n
n
l
n
t
n
n
n
r
t
t
e
n
a
t
a
i
i
a
n
a
n
53
E
E
E
E
E
E
E
3
E
E
E
E
3
8
E
5
5
E
8
E
E
E
E
3
E
8
E
5
5
E
5
5
8
E
5
E
8
€
€
s
S
E
E
E
E
E
E
E
€
€
€
E
(J
A
YuE.
E
.?
.=
F:
.:
H
!(-
)
ez-
-
EN=a
a€
o
o
€
6
0
€
o
c
€
a
6
6
N-
6
0
d
5:
r
r
r
i
il
n
n
;
'
;
;
;
;
;
;
;
-
-;
F
F
i
i
&
d
t
-;
a
d;
d
5
d
5:
:
J:
i
i
l
^
n;
n
n;
+
nn
n
d
d
n
n
n
N
n
^
n
^
n
n
^
d
^
A
n
N
N
^
n
{
d
d
&
n
n
a
n
i
n
n
;
n
n
n
d
i
l
n
n
n
n
i
l
d
d
n
n
n
n
n
n
a!
q
q
e
n
n
q
e
9
a
-
r
9
a
-
c
3A
E
E
3
E
3
8
3
3
3
e
E
t
E
E
g
nq
e
q
q
q
a
q
q
q
q
-
1
a
l
a
1
9n
n
r
1
!
9
i
q
q
9
q
*
q
?
1
q
ql
q
-
9
n
9
q
n
9
-
q
1
9
?
a
n
!
9!
9
\
r
9
t
r
q
r
t
t
9
9
c
i
9
t
-a
-
-
:
1
:
:
i
i
a
a
q
a
n
n
e
r
r
r
r
r
r
i
aa
o
F
o
o
6
d^
d
d
d
d
d
d
d
d
d
d
it
i
{
E
i
l
E
l
E
i
I
i
l
t
E
E
?n
n
?
?
n
a
t
a
t
a
t
:
i
a
9
:
U?
9
?
?
?
P
P
?
?
?
:
99
of
20
1
o^
+
;
F
a
-
^
r
6
d
5
-
;
d
r
d
d
d
r
d
d
d
:
i
r
€
-
6
:
F
;
6
€
-
o
N
6
6
r
r
-
d
Tt
t
3
t
t
E
3
t
3
3
3
3
3
3
E
3
t
8
E
E
E
E
E
E
E
8
3
E
E
E
E
E
E
E
E
E
E
3
3
E
E
3
8
8
E
3
a3
0
a
o
€q
€
€
€
E
dd
d
6
6
n
6
6
6
6
d
d
d
d
6
6
6
;
d
d
;
.
;
h
6
d
d
o
q
d
r
q
n
d
q
i9
1
4
1
9
*
9
r
r
1
1
n
n
n
a
r
9
9
9
9
!
!
1
!
9
!
!
l
l
a
9
i
r
n
q
q
q
e
e
l
9
9
i
i
l
i
qn
t
q
!
a
a
1
9
f
n!
q
9
r
!
9
q
l
i
?
9
9
!
1
n
q
q
9
i
a
a
l
1
i
a
c
n
i
-
!
n
a
:
!
-
q
qq
q
-
a
n
t
1
-
n
1
l
-
-
l
i
r
n
l
a
n
a
a
t
a
q
nt
n
e
n
t
t
n
n
t
n
n
n
l
n
n
n
a
i
a
a
n
a
l
n
l
l
n
l
l
n
t
t
l
n
l
n
t
t
n
n
n
t
n
n
n
n
5E
E
3
E
5
E
5
E
E
E
3
E
B
E
5
E
E
E
8
E
E
€
€
E
E
5
E
€
5
5
8
8
€
8
5
8
8
8
8
5
8
5
5
5
8
8
ll
l
t
n
n
n
t
n
n
t
n
n
n
l
t
l
n
n
n
l
n
i
n
n
n
n
n
n
i
n
n
n
n
n
n
n
n
n
n
n
i
n
n
l
t
l
Ed
i3
.
IEIa"
-
;>
99
9
t
n
l
a
l
n
t
i
a
n
a
n
a
n
n
n
i
-
q
9
q
q
9
q
q
q
q
q
q
q
q
t?
8
8
3
3
3
8
t
8
8
e
e
8
8
8
8
8
8
8
8
8
8
S
8
8
S
S
s
S
S
A
S
A
OA
Yu
:E3.
9
Q
oo
e
6
€
nl
l
f
n
a
n
a
i
l
n
l
n
n
a
q
q
n
n
n
t
n
t
l
n
t
n
n
n
n
t
i
t
t
n
n
n
l
n
n
n
n
a
a
l
n
n
IY
Y
Y
r
?Y
Y
:
Y
a
l
a
Y
i
i
Y
i
a
r
Y
i
i
r
i
r
i
i
Y
t
i
i
5
I
r
:
I
il
n
n
i
;
;
;
;
;
;
+
+
6
;
;
;
sj
6
.b
.
b
F
F
F
F
d
-
&
-
6
6
r
d
3
o
o
o
-
:
:
:
&
i
na
n
n
a
n
n
n
n
l
a
n
n
a
n
n
l
n
n
r
n
n
a
n
n
a
a
i
n
n
n
a
a
a
a
a
a
a
9
:
:
a
a
a
a
:
:
88
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
8
8
dd
-
d
e
d
d
€
d
d
-
-
d
d
d
-
@
d
d
-
€
d
e
@
qd
o
q
o
t-
:
:
-
Q
?
Q
?
q
l
q
q
q
q
r
q
q
q
q
q
q
q
:
?q
n
q
!
i
t
i
i
9
9
!
a
n
!
9
9
i
i
i
{
{
q
q
nn
n
1
n
l
l
1
9
e
9
-
i
:
:
q
q
9
:
1
9
r
i
1*
*
t
t
t
i
i
i
9
9
9
r
!
9
9
!
9
9
!
n
n
9
9
88
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
3
e
8
8
a\
r
c
a
a
t
i
i
n
a
n
n
n
?
€
q
a
9
?
i
9
?
9
tn
l
n
n
l
n
l
i
n
n
n
q
n
n
n
n
n
q
n
n
n
q
l
?l
i
i
i
i
?
i
?
t
i
?
?
i
i
3
?
i
?
i
i
i
?
i
le
n
i
n
a
a
a
n
n
n
!
n
n
t
n
!
n
t
n
n
t
n
n
:
:E
:
:
::
:
:
E
5
:
::
"
8
:
:
:
:
::
:
:
:
oo
€
o
€
o
o
o
€
€
€
o
o
a
€
€
o
€
o
o
o
o
o
o
in
n
n
n
n
n
s
t
n
n
+
f
n
n
s
n
n
n
n
t
n
n
a
10
0
of
2
0
l
3d
9n
q
i
!
n
q
q
9
a
9
*
!
I
q
e
!
l
a
q
9
t
-
q
9
n
-
a
9
a
-
q
9
a
:
q
9
1
:
q
EE
3
E
E
E
A
E
E
E
E
E
E
E
E
E
E
E
E
E
E
3
E
E
E
E
3
3
3
3
3
E
t
3
3
8
3
3
E
3
ea
a
r
t
t
t
i
i
t
t
i
i
i
i
i
r
t
t
i
i
i
9
9
9
9
9
9
9
9
9
9
l
i
i
i
i
i
i
i
-i
!
9
r
i
i
9
!
a
9
i
q
q
9
q
q
q
a
q
r
l
r
9
9
9
9
t
a
1
!
9
9
9
!
n
n
a
9
9
an
a
a
n
a
n
a
n
e
a
q
a
n
n
n
q
i
n
n
-
n
n
n
n
n
!
n
n
n
a
n
n
n
a
i
l
i
n
n
11
a
1
1
1
a
a
1
1
n
a
l
a
a
a
+
1
1
1
1
1
a
1
1
1
+
1
n
a
1
1
n
a
1
a
a
a
1
1
a5
a
-
3
d
-
d€
d
.
-€
;
-
-d
-
-
-
-
-
-
dd
d
d
*
d
a
dn
-
-
-
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
99
q
q
q
9
q
q
q
q
q
q
q
q
q
q
q
l
l
€
?
a
\
i
t
i
i
i
{
*
e
e
e
r
{
e
r
q
q
q
i9
t
€
e
c
i
i
9
9
\
!
1
i
i
!
9
q
9
1
a
t
-
n
n
!
9
a
9
n
-
-
n
?
n
n
9
a
1
9
??
?
?
?
?
?
?
;
?
?
?
?
?
?
"
c
?
9
?
?
?
9
?
?
9
9
?
3
9
?
?
?
?
?
?
?
?
?
e
EE
E
s
E
E
E
s
E
€
E
5
E
€
E
E
E
E
E
s
E
€
8
5
€
8
E
E
E
E
E
8
8
8
E
5
5
E
E
E
OA
Yu
:E3.
2
!oiEa>€=]
^-
9
9
f
r
9
:
I
H
o
-:
:
-
i
nd
d
;
-
-
6
r
+
+
n
6
6
6
6
b;
;
6
;
r
il
r
-
6
o:
^:
9I
n
1
L
I
I
?
n
I
n
I
I
I
n
9
9
I
I
9I
n
I
9
9
I
9
9
I
9
9
I
r
t
r
9
I
I
5
5
5
dd
i
:
:
ll
l
l
n
l
n
n
l
t
t
n
l
n
n
n
l
n
t
n
l
n
i
q
l
n
n
i
n
n
n
n
n
n
n
i
n
n
n
n
+
o
r'
d
j
-
h
G
-
3
d-
:
h
F
d
iN
r
€
F
d
:
d
+6
38
E
E
3
E
E
E
E
E
E
E
E
8
8
E
8
E
3
3
3
3
E
3
3
E
3
E
3
E
3
o3
-
c
o
d6
i
6
-
-
-
d
d
d
-
-
d
t
d
-t
-
€
-
d
66
6
6
6
6
d
d
d
d
6
6
d
;
6
q
o
6
d
q
o
o
o
o
d
d
ln
l
a
l
l
a
l
l
a
a
n
n
a
q
n
n
n
q
n
n
-
-
Q
Q
q
q
q
q
a
e
?9
?
l
n
q
e
e
?
i
i
t
9
9
9
9
!
9
1
1
1
n
a
i
n
-
.
-
q
q
9
i9
9
a
9
9
t
{
e
q
e
t
i
a
q
q
-
l
t
1
-
-
1
a
!
9
9
t
€
9
9
f
in
a
a
!
i
a
l
9
-
i
<
a
!
-
<
a
l
q
i
1
r
i
l
9
9
n
e
:
q
a
-l
e
-
q
e
!
!
n
n
l
a
a
a
a
n
a
n
a
n
n
n
:
-
n
9
9
a
9
9
i
td
d
,
d
€d
d
-
d
$
d
d
d
d
d
d
-
d
e
d
??
i
i
?
;
i
i
i
;
i
;
?
?
?
;
c
?
?
?
?
?
c
i
?
?
?
i
i
i
i
dd
i
l
^
N
^
^
d
d
n
Nd
i
l
^
d
d
58
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
8
s
8
s
5
8
8
8
8
8
8
8
8
8
In
n
n
!
q
n
n
l
l
l
n
n
n
l
l
n
l
l
n
n
n
r
t
f
nn
n
n
n
q
in
;
'
-
'
;
;
=-
=
+6
6
h
n
i
i
6
5
i
l
i
l
i
i
&
t
;
;
6
6
r
6
o
:t
:
a
:
?
a
a
9
:
:
:
a
a
a
a
?
a
a
n
a
n
?
-
-
a
a
:
T
a
a
l0
l
of
2
0
l
-d
j
-
6
r
d
d
{
n
h
F
6
-
A
r
d
d
n
r
-
d
o
33
E
8
3
3
3
E
3
E
8
E
E
E
E
A
E
E
E
8
E
E
3
E
8
E
E
3
3
3
E
E
3
99
9
9
9
9
9
9
9
9
9
9
9
9
9
q
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
!9
.
n
q
\
1
:
q
e
?
<
*
i
9
1
:
q
q
q
q
1
e
t
i
9
9
9
9
1
1
1
n
*i
9
!
!
r
9
9
9
9
9
9
t
t
t
f
el
q
q
?
:
q
-
:
:
-
i
:
qn
n
9
a
q
e
!
{
q
€
9
1
c
!
9
n
q
*
q
?
-
i
r
e
q
9
q
q
l
t
1
1
:
99
9
9
9
n
A
a
l
-
:
-
q
Q
C
q
?
?
e
9
q
-
l
n
!
9
i
e
q
q
-
l
n
c?
q
n
t
1
n
q
i
9
9
9
9
i
i
\
i
e
e
q
q
n
l
i
q
-
-
n
n
a
9
e
q
5
i
:
:
:
i
dd
n
;
;
'
;
d
;
;
+
;
6
6
6
;
6
6
6
6
;
;
i
l
i
l
&
;
#
;
9?
a
?
?
?
?
?
q
?
?
?
?
?
?
?
?
4
9
?
a
?
c
?
?
?
?
?
e
?
?
?
?
dd
d
d
N
d
d
d
d
d
d
d
N
d
r
d
d
d
d
d
d
e
d
o
a
N
^
d
d
d
d
d
d
EE
E
E
E
E
E
E
E
E
E
E
E
E
s
E
E
€
E
E
E
E
E
€
E
E
E
€
E
5
E
B
E
ln
n
l
t
n
l
t
n
q
n
l
n
n
n
n
n
n
n
n
q
n
n
n
n
t
q
n
n
q
n
t
n
!(J
A
Yu
!E3.
e
FE6:
.:
H
()
i;iE}
et
t
t
i
i
i
t
9
9
9
9
n
!
n
!
1
1
a
a
a
e
n
I
I
n
l
q
1
1
9
9
i
q
q
q
n
a
ne
i
i
i
t
t
i
9
9
t
9
!
a
1
1
a
a
a
a
a
a
a
a
t
a
a
1
9
e
q
t
1
9
q
l
1
t
@
r
;
.
d
@
@
o
d
d
d
d
*
4
-
d
-
t
-
d
d
r
*
-
-
d
i
-
d
-
6
-
d
d
6
-
d
€
33
E
E
E
3
3
A
3
E
A
€
E
E
3
E
E
E
3
E
3
E
E
E
E
3
E
E
3
3
E
3
3
E
E
8
3
3
i\
i
9
9
q
i
q
q
q
q
9
q
e
q
n
-
i
t
1
:
?
q
9
-
n
l
n
-
q
r
t
1
n
q
f
99
a-
q
e
q
q
q
q
i
t
i
i
9
9
9
9
9
9
!
n
9
!
9
9
1
1
a
!
a
1
a
1
1
t
9
9
a
n
?q
c
q
q
i
q
9
9
n
q
!
i
q
1
?
n
n
a
-
1
q
1
4
9
9
9
n
r
-
!
?
r
q
a
-
n
q
aa
a
a
a
a
a
a
n
a
n
q
a
a
a
q
!
a
n
a
n
a
a
n
a
n
n
a
e
n
n
n
n
a
a
n
a
a
a
i
i
?
?
?;
i
?
?
?
i
;
;
i
i
"
??
?
i
i
?
i?
i
?
?
i
t
i
i
i
;
i
i
;
?
i
?
11
4
1
1
!
4
4
4
1
1
4
1
1
1
4
1
1
1
1
+
1
1
1
1
+
n
1
1
!
!
9
q
1
6
9
n
4
33
5
3
0
0
3
3
C
O
O
O
C
3
3
0
0
C
C
C
O
O
O
3
3
3
3
3
C
C
O
3
0
99
n
n
n
c
t
!
9
a
n
a
9
Q
l
a
t
?
n
n
n
?
f
;
al
Q
n
n
9
i
n
a
t
:
n
9
r
:
--
:
-
-
-!
!
-
!
-
:
-
10
2
of
20
I
!9
3EI€E8:E3
E-QA
E.
E
_h3.
9
,c?!
.:
H
!(,
Gt(qt
!a
9
i
!
n
q
i
9
n
q
t
!
n
q
e
9
e
q
e
9
n
q
e
9
n
q
e
9
n
q
c
9
n
-
*
9
a
-
*
9
a
-
q
9
3E
S
S
E
3
3
E
E
E
E
E
E
E
S
t
S
E
E
3
E
E
E
E
E
E
E
E
E
E
E
E
E
3
3
E
E
E
E
E
S
S
E
E
S
t.
d
d
d
*
d
d
d
d
d
d
*
@
d
d
d
.
d
d
d
d
*
*
-
d
-
-
-
€
6
6
d
d
d
-
6
€
d
-
-
6
-
-
-
e€
€
€
a
6d
d
6
6
6
6
6
6
d
6
d
6
;
6
6
6
6
6
6
6
6
6
d
6
6
6
6
6
d
d
d
6
6
d
;
d
d
d
6
d
-
;
d
h
--
9
9
?
q
q
q
q
9
-
:
-
-
q
q
q
c
i
9
9
n
i
n
n
-
q
q
€
e
Qq
9
a
-
e
!
-
P
9
n
q
i
9
9
9
r
e
q
Q
q
-
n
a
!
9
l
a
e
i
i
9
a
n
q
q
q
t
9
a
a
t
i
i
n
aa
a
a
n
n
a
a
!
9
!
1
1
1
a
l
n
n
q
{
a
q
e
q
q
q
{
9
a
-
q
9
1
r
n
r
r
q
q
r
9
9
9
n
1
ao
o
_
r
P9
q
q
n
P
c
q
9
a
a
q
q
9
9
n
!
!
9
i
-
n
?
I
9
t
r
-
a
q
n
n
-
a
q
?
q
-
:
r
9
9
:
r
9
i
n!
-
9
9
t
1
1
n
n
9
9
9
!
!
9
t
:
a
l
t
q
-
a
9
9
i
9
9
9
t
t
e
a
i
q
?
q
q
q
c
i
9
q
-
==
=
Q
Q
a
?
?
?
e
a
e
?
a
a
a
a
a
?
?
a
a
a
a
?
a
a
a
a
?
a
a
a
a
a
a
=
a
a
?
Q
a
Q
?
=
aa
a
t
a
n
n
n
n
a
n
t
n
t
t
l
t
n
a
i
n
a
n
n
a
a
a
a
a
n
n
a
a
a
!
a
a
n
a
e
a
l
l
a
a
?t
?
?
9
?
?
9
?
9
9
?
?
?
?
?
?
9
e
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
9
?
?
?
C
!n
n
!
!
!
9
9
9
9
9
9
!
!
!
9
9
!
!
9
!
!
n
n
!
!
!
n
!
n
!
9
!
!
n
!
!
9
!
!
9
!
9
!
9
xs
E
P
s
E
s
*
E
*
E
*
r
r
r
e
8
8
8
8
8
8
8
8
8
t
8
8
8
8
8
8
S
8
8
8
8
t
8
t
8
8
8
8
8
nq
q
n
n
q
e
n
t
i
n
n
t
n
l
t
f
ti
n
n
i
c
n
t
n
n
c
n
q
n
q
q
n
n
q
i
n
q
n
n
n
n
n
n
5
;
;
6
i
o
o
o
-
:
:
:
il
i
l
i
{
;
;
;
;
;
;
+
+
6
6
;
;
.
b
.b
a
o
F
F
i
l
i
-
;
&
d
d
a
6
6
o'
::
:
i
s
n
n
n
n
n
n
n
n
f
l
n
e
f
;
n
e
t
n
f
l
n
t
n
n
s
n
c
t
n
S
n
t
*
n
3
n
l
3
n
s
n
n
a
10
3
of
2
0
l
a-
t
:
-6
-
-
&
6
+
-6
F
+
N
6r
r
d
n
F
i
n
5
ts
+
d
5
r
6
d
6F
6
-.
F
o
r6
d
o
hn
q
F
rq
a
q
!-
&
€
-
II
a
r
:
i
:
=
a
*
E
a
a
E
g
c
g
g
g
$
s
e
*
8
g
E
s
*
s
l
E
a
e
s
H
E
$
i
?
i
H
H
e
;
;
:
:
-
=
3
$
I
$
!
l
e
i
a
n
l
e
x
:
;
x
:
3
s
l
3E
3
3
E
E
E
E
3
t
E
E
3
8
A
E
3
3
8
E
8
t
E
t
8
E
E
E
3
3
E
3
8
3
3
q
3
3
3
E
8
e
3
3
3
3
E
E
3
8
E
E
E
E
8
3
e
i
E
q
?
q
E
E
E
8
3
E
d-
d
d
-
==
?
:
?
=
"
?
?
:
e
=
?
?
=
i
i
3
E
3
E
=
3
=
E
8
3
3
=
8
3
t
t
3
3
3
3
3
8
=
3
3
3
3
3
3
E
33
3
=
3
3
d-
-
-
d
d
d
d
-
-
-
6
-
-
€
-
-
-
€
o
rn
-
9
9
9
9
9
9
i
i
i
?
A
q
q
Q
q
a
-
-
n
1
1
9
9
i
t
e
q
q
q
q
a
e
q
9
-
:
:
n
!
!
l
!
!
!
!
!
1
1
a
9
!
a
1
1
4
9
9
9
9
9
9
9
9
9
!
9
is
s
r
F
F
F
F
p
F
r
F
*
p
r
r
R
R
e
R
e
e
R
R
R
R
R
e
R
e
R
e
e
8
3
3
3
3
8
A
3
B
8
8
a
8
8
A
S
8
8
8
8
3
3
8
3
B
3
B
8
8
8
B
A
8
8
8
9q
q
9
9
8
9
q
q
q
q
q
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
N-
d
d
d
d
d
N
d
N
d
d
d
d
d
rq
i
a
q
a
q
n
!
t
q
q
q
i
a
1
9
!
9
9
9
i
\
!
-
a
1
a
q
?
q
?
:
-
l
i
d
d6
d
6
a
1?
P
-
I
-
a
q
l
t
?
a
i
e
q
q
q
q
q
a
-
C
e
q
C
n
l
9
9
9
9
!
9
i
q
q
-
-
i
-
-
n
1
9
i
q
n
q
?
q
q
q
:
1
1
!
!
!
!
!
t
a
q
q
-
-
-
q
--
a
=
:
--
-
-
d
dd
d
-
d
ss
D
E
E
E
D
D
E
E
E
D
E
s
E
s
e
s
s
s
g
g
s
s
S
B
B
B
s
g
g
s
g
s
g
s
s
g
B
s
s
t
g
*
B
g
s
s
s
s
s
s
s
*
s
3
3
3
3
8
3
8
3
3
9
3
3
8
s
j
j
o
o
j
c
o
J
c
o
5
d
d
o
i
i
i
o
o
o
d
o
c
o
a
-
o
o
d
5
i
o
5
o
i
3.
-.
5
3
=
5
d
5
o
i
i
5
o
a
a
a
a
a
a
a
Q
?
?
Q
?
--
-
-
-
6
-
-
-
-
-
F
-
i
i
-
^
-
^
d
-9
!
9
9
9
i
i
*
r
-
a
1
1
n
n
!
9
i
9
9
9
1
9
e
-
1
1
!
9
t
i
9
a
q
n
!
9
t
9
r
9
9
9
i
r
E€
3
i
e
i
3
3
3
3
3
3
G
3
€
3
3
3
3
3
3
€
€
3
3
3
€
e
3
?
G
€
3
3
3
3
3
3
3
3
3
3
3
€
3
€
aF
E
R
l
K
R
R
I
x
5
s
8
9
E
5
5
8
E
E
E
E
E
t
g
t
3
8
8
3
S
E
g
:
E
E
S
E
5
E
E
8
5
8
8
t
B
E
5
5
*
E
a
E
-
a
E
3
*
3
e
B
r
-
f
-
P
i
s
*:
'
;
F
d
6
d
6
-
-
i;
r
s
1
:
=
3
a
5
3
;
3
f
i
5
$
5
3
h
;
$
;
S
$
3
5
S
$
9
S
$
!
3
+
?
?
+
3
$
q
;
e
3
5
3
1
!
;
=
8
a
e
a
t
8
X
3
3
*
t
3
8
3
;
9
g
i
E
a1
-
a
!
!
!
a
a
a
a
-
t
a
l
a
a
a
1
a
!
a
a
1
1
a
1
1
1
a
a
l
1
1
a
1
n
a
a
l
l
a
1
a
a
a
l
a
a
a
n
l
n
n
l
l
.
a
.
n
n
n
n
n
n
n
n
n
a
?
T
i
q
q
q
t.
i
i
i
q,
l
q
f
i
a
f
l
l
a
l.
t
i,
i
.
qi
i
l,
l
.
q,
l.
l
t
l
l
l
f
f
f
a
l
q
l
.l
i
+
a
q
a
l
.l
l
a
a
a
a
l
l
c'
a
.}
q
i
q
q
.l
i
l
?r
!
1
9
t
9
t
q
n
i
9
q
e
-
!
9
!
?
n
l
q
i
!
-
i
a
q
9
1
q
?
!
:
9
\
q
l
9
n
q
q
l
-
c
9
q
n
l
q
n
\
-
q
9
\
1
r
-
?
q
n
n
l
q
a
i
9
8:
:
=
3
8
S
e
S
3
5
e=
3
5
3
3
3
3
3
5
e
r
58
E
58
3
3e
-
3
3I
=
8
3
3
e
5
5
=:
=
3
3
5
3
3
iE
!?
=
3
0
A
-
E
E
=
3E
4
g
=
3
-:
A-
-
-
-
;
tr
dY.
i
'
8.
9
LC
.:
9O,Ei-
.
al
a
!
!
!
9
!
9
!
!
A
!
a
a
a
=
=
=
a
=
=
!E
E
!
!
r
{
{
!
c
-
E
{
!
E
c
!
!
5
E
E
E
-
E
E
E
!
I
^
3
i
^
E
i
:
^
E
I
:
!
I
^
E
I
I
I
E
E
i
M
I
i
I
q
E
I
^
E
I
I
I
I
E
-
E
-
E
q
H
:
I
^
E
I
^
E
+-
A
;
6
5
6
G
G
b
G
G
G
G
6
G
€
b
6
€
4
6
6
6
6
€O
o
€
4
6
€
O
O
O
O
O
O
o
€
?:
1
1
1
1
1
n
n
n
1
1
1
:
t
a
l
1
1
i
i
1
1
1
!
:
:
1
:
:
!
:
:
1
!
l
!
!
:
1
1
1
:
!
l
:
:
:
!
:
:
:
:
:
1
1
1
i
:
1
:
:
:
:
r
n
n
h}
6
:
&
i
6
:
^
i
6
:
-
+
6
j
n
+
6
;
i
n
-
-
6
n
-
-
-
r
5
=
o
+
o
i
a
+
o
i
nr
-
i
-
i
a
a
a
a
t
a
a
a
t
:
:
a
a
:
i
a
a
:
f
::
a
?
a
1
a
1
a
a
:
a
a
a
n
a
a
:
9
1
9
9
9
n
9
9
9
9
9
9
9
9
9
1
9
9
9
?
l
10
4
of
2
0
l
lr
n
l
n
l
r
l
l
n
-
i
l
:
:
:
-
q
Q
q
q
q
q
q
q
q
q
e
e
r
i
i
t
P
c
9
9
9
9
9
!
1
9
9
1
f
1f
-l
l
n
n
l
l
n
n
a
a
Go
e
6
0
&&
&
n
6
-
-
-
-
6
6
&
-
-
&
e
-
-
-
.
A
ia
-
4e
A
A
A
A
ii
:
:
n
t
a
B
?
;
B
E
E
s
a
3
g
H
g
g
H
p
=
F
H
€
p
g
p
p
=
n
3
p
p
=
:
H
F
:
I
=
p
:
=
:
;
=
:
g
E
g
=
:
I
!
E
r
=
tT
Be
s
8
R
f
r
Ee
F
*
a
a
s
i
l
E
q
i
s
E
q
E
!
3
+
3
5
e
i
:
q
q
3
!
E
e
I
t
Q
q
3
3
3
t
3
A
r
+
R
r
F
f
F3
s
5
!
5
F
o.
a
a
a
a
.
o
o
3
00
3
3
0
0
3
0
3
db
5
6
6
-
d
6
1
6
6
6
6
=
=
=
=
=
=
=
:
:
=
=
=
=
:
:
:
=
==
-
-
-
ES
3
E
3
E
E
E
3
3
E
3
E
E
E
E
3
3
E
3
g
8
8
E
3
3
E
E
3
8
i
q
t
8
?
.
8
_
E
q
q
?
9
_
t
_
e
.
E
,
E
.
E
?
q
?
.
8
!
_
e
:
q
q
q
_
E
q
=
dd
-
d
-
d
-
d
-
d
d
6
6
-
-
@
d
d
d
-
-
-
-
-
d
-
-
-
-
6
6-
6
6
6
66
4
;
A
i
i
l
d
-
-
;
-
-
-
6
3
3
5
3
3
3
3
3
3
3
3
s
3
=
E
3
5
s
I
3
8
8
E
3
3
3
3
8
3
3
a
3
3
3
8
3
3
-
3
E
3
3
3
3
3
3
3
3
3
=
3
-i
-
8
3
3
3
e
I
3
-;
;
;
;
;
;
;
;
;
;
;
;
;
;
;
-
;
;
;
;
d
;
;
d
;
-
d
d
d
-
€
@
a
d
d
-
€
€
€
€
"
-
;;
t
;
;
;
d
d
d
;
i
l
u
i
l
6
-
a
d
e6
6
-
od
d
c
6
o
a
a
o
3
€€
-
o
-
;;
d
6
+
i
r
6
6
6
6
6
8
O
9
6
6
6
6
6
6
6
G
6
6
€
6
0
e
e
d-
-
-
-
-
-
-
F
-
A
-
d
d
d
d
d
d
d
N
II
I
I
N
i
I
-
I
I
N
N
n
d
-
N
N
d
d
N
d
-
d
-
-
d
A
N
N
d
:3
:
f
:
=
!
9
*
*
5
*
5
9
9
;
;
*
S
f
S
l
;
f
i
AA
f
r
il
;
;
f
r
;i
l
3
;
+
G
A
A
;
3
f
r
;4
3
€
3
8
8
3
3
S
r
8
8
3
3
4
5
;;
;
;
;
;
;
n
;
;
.
a
a
i
d
d
-
a
;6
a
6
;
6
6
-
;
;
.
.
i
n
d
^;
^
;
^
^
^
^
^
^
^
-
d
d
^
N
^
n
i
i
d
d
i
l
N
N
^
d
^
d
{
d
d
i
l
d
n
^
d
I
d
d
d
d
i
l
N
N
d
d
^
d
d
d
i
d
{
n
n
cB
c
c
E
g
g
g
g
g
E
g
g
g
g
g
g
g
g
g
g
B
g
g
g
g
B
g
g
g
g
g
B
B
g
S
g
g
g
g
g
g
g
g
g
g
B
g
E
E
g
g
g
g
B
g
B
g
g
E
:
-
=
-
-
=
=
-
a
=
a;
a
c
-
a
a
d
a
a
a
=
a
d
i
.
:
i
3
:
c
c
5
c
d
5
d
i
d
d
do
j
i
3
d
id
i
5
.
.
5
d
.
b6
6
6
6
b
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
6
n
6
4
4
6
6
6
6
E
6
6
6
4
4
6
6
6
6
6
6
6
6
G
8
€
e
O
€
9
9
9
9
9
9
99
9
il
.
.
i
"
.
i
i
i
l
"
j
a
i
i
.
i
;
i
.
'
i
n
.
'
i
.
i
.
i
n
n
n
n
n
n
n
n
n
n
q
i
!
a
j
t
r
1
1
a
!
1
n
n
n
n
n
l
r
e
n
n
n
1
1
1
1
1
n
l
n
c
l
n
1
1
l
l
n
EA
E
E
A
e
e
E
q
E
E
E
E
O
E
E
e
E
E
E
E
e
e
E
E
q
E
E
e
e
E
E
E
E
E
e
E
e
E
q
E
C
9
9
9
E
q
C
C
C
C
C
E
9
9
E
q
E
E
66
d
d
6
6
6
d
d
h
h
d
q
b
6
il
f
r
d
-
i
l
d
a
d
A
d
A
d
d
d
d
d
d
n
d
d
N
d
d
d
d
se
i
i
a
s
B
8
s
s
3
A
A
A
8
E
;
A
S
E
R
.
F
C
R
S
R
R
R
R
F
R
F
E
E
R
S
R
R
R
F
R
R
F
E
I
R
R
R
E
R
F
i
S
R
F
E
P
R
?q
Q
q
q
q
q
q
e
r
i
e
e
i
i
t
i
i
9
i
i
t
i
i
t
i
\
t
€
--
-
r
n
F
F
F
F
r
n
c
q
n
I
n
n
I
n
I
n
n
n
n
n
n
c
I
I
n
n
q
!
n
1
I
I
I
n
n
q
n
n
n
n
n
n
n
n
n
n
i
i!
1
1
1
!
!!
n
n
!
|
!
I
1
!l
i
l
1
!
RR
3
R
R
R
8
R
3
R
R
A
i
R
R
A
R
R
R
8
3
3
3
R
3
R
R
F
R
R
3
F
R
R
R
E
E
E
3
3
3
3
3
3
3
E
3
E
R
R
R
R
R
3
3
3
R
R
R
-;
a
-
6
--
-
-
-
-
a
-
6
6
!=
?
!
:
!
=
l
a
a
a
a
a
=
=
3€
3
?
3
3
3
3
3
3
€
3
3
3
3
?
33
3
€
€
;€
E
€
€
€
€
€
€
E
€
€
€
E
€
€
E
E
E
E
E
E
:
E
E
E
E
E
E
E
=
E
E
E
=
=
H
g
=s
r
F
E
s
=
F
F
F
F
R
X
X
S
S
F
F
F
F
F
T
T
T
*
F
i
l
i
F
r
F
P
e
s
F
F
F
=
r
F
E
4
t
E
E
8
i
S
3
8
e
;
;
e
t9n
!EE!
.=
H
o
oo
a
6
c
6
-
9
-
9
-
9
-
9
:
9
d
i
d
F
h
!i
i
ii
h
e
F
e
-
!
a
!i
i
h
a
s
-
n
a
+
n
a
a
i
a
n
-
f;
i
r
-
a
I
:
i
n
a
a
:
a
e
a
:
*
:
r
:
I
a
!
:
n
n
e
:
I
a
P
-
fr
a
a
a
a
s
a
3
8
a
-
a
.
a
a
a
5
3
6
i
5
5
E
3
3
+
E
F
E
E
5
5
E
E
E
E
E
E
.€
I
t
E
q
?
?
.a
-i
i
;
:
=
=
=
=
:
=
=
a
=
3.aE€E2'
-
6tE}
d6
-
3
n
;
6
d
d
a
d
,
nd
d
-
;
i
d
d
t
d
d
d
d;
;
d
d
d
6
n
6
6
d
6
I?
q
q
q
q
q
q
q
-
a
l
99
i
i
i
!
1
?
q
?
-
n
11
q
9
n
?
!
9
n
C
n
9
!a
!
a
1
1
!
a
a
a
!
a
di
d
d
F
r
d
d
d
d
d
d
YY
Y
I
I
Y
Y
Y
Y
Y
Y
Y
nn
n
n
n
d
d
n
a
n
n
d
sE
E
E
E
E
E
s
E
s
E
E
:
::
:
:
:
S:
:3
:
:
an
Q
-
n
l
?
n
r
t
i
10
5
of
2
0
l
q
g
q
q
q
.E
=E
.E
E
q
E
e
q
E
q
e
3
3
3
3
I
8
3
3
3
3
E
3
E
3
t
t
E
E
3
3
e
E
3
E
E
E
t
t
E
E
E
E
E
r
E
t
€€
-
€
-
-
*
-
-
6
6
€
_3
.8
,
3
?
?
q
q
q
?
-8
3
E
E
E
E
E
3
E
3
E
3
3
3
E
E
I
3
8
3
3
3
E
3
E
3
3
3
3
3
3
3
E
E
E
8
8
3
3
E
E
E
E
a6
4
4
6
6
6
r,
^
€
r
o
6r
r
A
5
66
=
-
O
-
r
o
€
r
d
6
--
Q
6
0
6
6
6
d
a
O
a
O
rr
-
-
a
^
i
-
EE
E
G
E
E
A
E
A
E
E
E
E
E
E
E
E
q
E
E
E
S
E
E
E
E
B
E
E
E
E
E
q
A
E
S
E
E
A
A
6
B
S
E
S
S
E
E
E
gB
A
6
h
h
6
d
6
6
-;
6
66
d
6
6
6
6
6
6
6
d
h
6
6
d
d
d
dd
i
d
d
o
dN
d
N
d
d
d
eq
q
q
q
i
i
i
9
9
9
9
d-
-
Q
o
a
€
t
r
F
88
8
;
3
3
4
;
A
A
A
A
S
s
;
g
;
3
?
;
S
R
R
R
R
F
e
R
F
e
R
e
a
R
F
R
&
R
e
R
R
R
i
g
R
F
f
Rf
a
a
a
il
\
i
t
t
i
i
i
i
9
9
9
9
!
a
1
1
a
n
n
i
i
-
?
c
q
q
*
a
*
q
q
q
q
q
q
6
1
n
.
q
6
!
q
&
@
-
-
-
-
a
-
-
--
d
-
&
&
&
€
-
-
-
-
*
-
*
I*
A
n:
Q
n
n
!
9
n
n
n
Q
n
n
I
Q
l
6
6
o
d
&
6
o
d
a
6
-
d
+
6
=
d
+
6
=
d
i
6
-
F
.
6
-
-
n
6
-
i
r
6
jN
Ne
{
-
-
;
;
;
;
;
;
;
;
d
h
€
€
o
o
i
d
i
i
d
;
;
;
a
o
a
;
i
d
a
6
r
:
aa
-
a
a
-
i
n
n
f
l
nn
n
n
t
n
n
n
t
t
n
i
n
r
n
t
n
n
l
t
t
t
a
s
n
n
t
n
n
n
a
a
n
n
t
i
-
-
a
a
a
n
qf.EI5;€:E
99
9
1
r
9
9
9
9
9
9
n
!
!
n
l
l
a
a
n
n
t
t
-
-
q
e
q
c
q
q
q
q
q
?
e
q
q
?
3
dd
d
d
A
N
d
-
-
-
-
-
-
d
d
d
d
a
?
9
a
1
q
i.
n
n
a
i
e
Q
9
1
M
!t
-
f
9
i
!
r
-
i
i
I
-
n
M
Q
I
i
9
?
-
9
9
a
9
i
M
a
q
q
n
9
6N
a
=
t
<
q
E
6e
?
=
=
a
e
q
q
3
a
e
-
?
-
o
5
-
:
-
6
a
o
i
-
a
-
=
-
-
a
d
6
_
_
_
-
-6
d
-
-
-
-
:
91
a
-
-
9
i
l
n
-
-
q
9
9
9
n
-
a
i
n
n
-
1
9
9
9
-
o
-
F
r
6
83
3
3
3
3
3
3
3
3
3
3
3
8
3
3
3
3
G
3
3
3
3
€
3
?
3
8
?
3
3
3
88
8
8
8
E
s
r
s
88
8
8
8
8
3
i
!
E
E
B
r
r
8
8
8
E
5
E
8
E
E
E
E
E
r
E
8
8
8
5
8
8
8
8
S
5
9
S
E
8
S
ii
5
d
d
i
i
d
i
d
d
i
i
d
i
d
d
d
d
d
d
d
d
d
d
d
d
d
d
o
5
d
d
d
d
s
.
s
i
d
i
i
d
S
d
5
i
i
c
o
o
c
oo
o
o
o
o
o
o
G
€
€
a
66
A
G
6
a
G
€
€
O
Q
O
6
oG
O
O
O
a
O
O
O
O
O
O
O
d
G
G
6
G
6
6
b
b
E
a(J
A
E.
s
.1
.?
o
?N
4
h
r
0
@
o
o
-
9?
?
?
?
?
?
9
?
e
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
?
?
?
i
i
i
i
i
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
EA
!
a
i
!
!
:
+
E
E
=
=
4
3
e
=
:
3
3
!
3
=
:
=
=
8
3
:
=
s
r
:
=
!
r
.
f
==
=
=
8
5
:
=
=
!
g
=
3
=
rr
n
n
1
1
a
1
1
a
a
a
a
l
t
1
1
1
:
1
a
1
a
1
1
n
n
a
1
1
1
1
1
1
1
1
1
a
1
1
1
a
.
:
t
=
a
r
i
-
a
-
a
.o
d
d
5
i
a
d
a
5
.
?
i
i
?
?
i
i
3
i
5
o
5
5
o
3o
o
o
i
i
5
o
d
d
o
d
o
d
c
ao
dd
^
d
-
F
-
a
-
F
-
-
N
d
d
d
d
F
d
-
^
^
n
^
F
F
-
-
d
-
d
a
-6
-
6
a
d
;
-
6
-
-
-
lt
q
i
l
n
q
t
a
c
q
9
a
:
q
9
1
-
q
3t
t
t
t
t
3
t
t
3
3
3
3
8
3
3
3
3
8
td
-
6
d
-
-
-
€
d
-
d
*
-
-
d
@
@
d
-:
n
q
n
n
t
t
n
n
6
r
6
€
e
9
€
s
€
9n
r
-
q
t
n
a
n
n
n
n
-
?
a
9
1
-
q
it
a
r
t
n
n
n
n
n
l
a
n
!
9
9
9
9
9
F
q?
i
9
a
q
-
t
!
n
9
!
9
a
l
a
i
6
F-
n
-
d
d
-
€
d
d
-
$
d
YY
l
Y
Y
l
r
i
Y
?
i
i
?
dd
d
d
N
d
d
d
d
d
d
n
n
n
d
n
d
d
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
Q
9
4
I
10
6
of
2
0
l
E;
E4
66
d
5
d
-
h
d
d
d
-
e
6
6d
o
d
-
dF
o
d
N,
a
-
o
j-
66
d
dd
-
EE
3
E
E
3
E
3
E
E
3
3
3
3
3
3
3
3
3
E
3
3
3
3
3
E
E
E
A
E
E
3
E
E
E
8
E
8
E
E
3
E
A
8
E
aa
e
a
i
i
n
n
n
:
-
1
-
:
-
n
f
ll
n
c
-
i
-
-
-
1
-
q
q
Q
q
q
q
q
q
Q
?
:
:
:
l
l
l
l
t-
q
e
i
q
q
n
!
!
9
9
9
!
1
1
?
i
9
n
i
q
-
l
a
n
l
n
a
q
t
a
q
q
q
a
q
q
9
l
-
r
n
n
q
99
9
n
r
n
l
f
1
a
1
1
1
1
1
1
1
1
n
r
n
n
n
n
r
n
r
:
q
q
q
e
a
t
i
i
i
i
e
e
e
e
q
q
q
9!
9
!
9
!
9
n
1
t
t
n
e
q
?
a
i
t
9
T
:
n
a
r
t
9
9
i
-
a
n
a
a
a
n
9
a
n
l
n
n
l
!
9
q
E
C
E
E
E
E
I
E
=-
!
E
E
E
!
E
E
!
-E
I
:
_3
E
E
-5
-r
E
C
E
C
i
{
E
^E
E
-E
E
E
C
E
E
E
I
C
:n
q
!
9
q
t
t
a
9
a
q
1
9
q
9
\
9
a
9
q
9
i
9
1
n
t
9
i
9
1
9
n
e
9
e
*
q
n
l
a
c
n
e
q
!QOE.
E
.?
.=
o:3&p€t
:Ei
?a
=i
??
?
e
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
e
e
?
a
a
?
?
?
e
?
?
?
?
?
?
9
?
?
?
?
?
?
?
?
?
ll
n
a
a
a
a
l
a
l
t
l
l
l
l
n
l
t
n
l
l
r
n
n
n
a
n
n
r
r
r
n
n
n
n
n
n
l
n
n
t
n
n
!
t
nn
Q
a
n
l
9
n
a
f
?
t
n
9
?
+
n
9
Q
t
n
t
Q
n
n
9
?
n
n
9
:
s
a
?
:
n
l
9
:
n
:
3
:
n
t
nr
n
l
n
r
t
a
a
l
i
a
a
a
i
r
a
?
l
a
!
a
!
a
i
i
r
a
:
a
a
a
a
l
n
"
t
:
a
a
a
a
a
a
a
nn
t
l
n
n
i
l
n
i
t
l
n
i
n
n
n
n
l
t
t
l
n
t
n
t
t
l
t
t
n
n
n
t
n
n
l
n
l
n
e
n
t
l
n
,6
r
d
-
-
+
6
d
i
-
33
3
I
3
3
E
3
E
E
I
3
3
3
3
E
E
E
3
E
E
E
3
E
E
E
-*
-
-
d
-
-
-
d
-
d
d
-
-
t
-
d
-
d
-
i
-
-
-
-
t
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
99
a
l
n
r
i
n
i
a
a
a
a
a
a
a
n
a
l
n
a
n
a
i
a
n
!9
9
!
1
n
1
!
9
t
a
i
9
!
1
a
A
!
t
9
a
n
n
n
n
a
++
+
r
+
{
+
+
+
+
+
-
+
+
+
+
+
+
+
+
+
+
i
+
+
+
99
-
q
e
l
!
q
i
\
e
n
q
t
9
q
e
q
a
!
c
?
-
1
€
9
ln
l
l
9
i
n
a
n
a
i
n
n
n
-
n
-
Q
l
n
:
q
q
9
a
n
.o
5
-
5
5
:-
-
q
?
-
-
-
-
-
-
-
?
9
-
-
-
-
9
3
q
9
-
-
-
-
??
?
9
9
?
?
?
?
9
?
?
?
?
?
"
?
?
?
?
?
?
?
?
?
?
11
a
1
1
a
a
l
a
1
a
1
1
1
A
1
1
1
1
a
a
1
l
a
a
t
EE
5
5
E
E
3
E
E
5
E
3
E
5
E
5
5
E
E
E
E
E
3
8
E
E
nn
n
n
n
l
n
t
n
n
n
n
f
l
n
t
l
i
q
n
t
l
n
n
n
l
:9
:
t
a
l
:
t
:
9
:
a
:
9
:
1
n
9
:
a
a
9
-
n
a
q
na
n
a
n
a
n
a
t
n
n
n
i
n
n
t
a
e
i
n
i
n
l
n
t
9
10
7
of
2
0
l
;d
-6
6
-
d
d
+
6
F
6
jd
,
c
d
6
-
;
d
6
d
c
i
e
d
F
6
i
n
+
€
r
r
j
oo
5
-
:
+i
+
a
r
q9
9
9
9
9
€
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
t
t
i
i
i
i
i
\
nn
n
n
-
n
-
-
a
-i
l
i
i
-
--
-
-
.
--
-
-
-
-
-:
:
--
-
-
:-
-
i
-:
e+
?
?
?
i
i
?
i
?
i
?
?
?
?
?
i
?
?
?
i
?
?
?
q
?
?
?
?
?
?
t
i
?
?
?
?
i
nn
a
n
n
a
n
n
a
a
a
n
a
n
n
n
l
n
n
I
n
l
n
n
n
l
n
!
e
n
a
a
n
n
n
n
n
n
n
38
8
8
8
3
8
3
8
8
3
3
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
3
8
8
8
8
8
8
8
8
8
8
-a
-
-
d
@
-
d
-
*
-
-
-
€
d
-
€
€
d
d
d
-
d
d
d
d
d
r
d
r
d
d
-
e?
?
€
e
i
q
Q
a
c
?
q
i
i
9
9
<
a
q
q
q
q
q
q
9
q
q
-
c
i
n
e
-
-
q
:
i
!
33
3
?
3
8
3
3
8
3
3
8
3
3
3
?
8
3
G
€
3
3
€
3
3
3
3
8
3
3
3
3
3
3
3
C
?
3
t(J
A
Yu
!E4.
2
;!ct
Uza{it=z4
f-
o
-
-
-.
-.
-.
-
-
n
n
-
n
n
i
-
-
q
?
q
q
r
t
i
i
I
I
I
9
9
9
r
i
i
i
i
t
I
i
i
i
aq
l
r
q
P
q
q
!
!
t
\
9
9
n
9
1
n
:
-
"
"
a
a
a
q
q
-
:
i
-
-
i
q
q
c
n
q
ra
e
e
n
a
?
q
q
a
?
q
q
q
c
q
q
q
r
"
*
{
*
?
e
e
e
e
e
q
q
c
q
q
6
c
q
q
50
-
o
-
5.
o
6
6
oe
e
e
e
e
e
e
e
e
e
e
e
e
e
e
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
8
nn
t
l
l
l
l
l
t
n
l
t
n
n
l
q
n
n
n
l
n
n
n
n
n
f
nl
l
n
l
n
l
n
n
l
c
n
a!
?
n
n
n
9
n
r
r
?
n
n
9
?
t
n
n
9
c
n
9
Q
l
n
l
9
9
n
9
:
l
a
9
:
n
:
9
n
ed
n
d
n
;
;
;
;
;
n'
n
'
;
;
;
n
n
r.
F
c-
a
e
i
i;
;
;
;
;
;
;
;
;
d
;
n
6
i9
!
n
t
-
n
t
l
a
l
n
t
?
?
:
n
t
q
l
!
!
9
9
9
9
i
q
l
a
9
t
i
t
i
9
9
q
it
9
a
9
9
9
a
q
q
a
1
e
q
t
t
t
n
t
n
a
9
n
9
q
1
9
1
9
-
c
c
a
q
q
?
n
t
63
t
n
c
5
c
.
o
o
5
0
5
0
6
o+
d
t
r
h
A
5
-
6
6
:
-
o
-
,^
F
d
id
+
;
a
6
j6
d
o*
o
d
d
6
F
r
o
d
,
d
d
o
--
:
;
€
d
d
d
-.
4
-
-
+
+
+
-
+
b
6
6
6
6
6
38
8
8
8
8
8
8
8
8
3
3
3
3
3
8
3
8
3
8
8
3
3
3
E
8
E
t
e
8
8
E
8
99
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
9
-:
-
-
-
-
a
!
i
q
-
n
t
a
a
i
:
-
9
Q
q
c
a
l
T
q
a
*
c
9
e
€
q
dF
r
t
s
r
r
r
r
r
-
a
-
-
*
-
q9
i
n
:
9
9
a
i
9
n
n
9
a
q
!
\
9
a
9
!
-
1
9
n
9
q
9
i
-
:
i
-
5a
-
i
-
o
o
c
3
O
.
o
3
o
O
o
o
6
6
C
Ca
o
s
o
-
-
-
in
n
n
n
n
a
l
9
9
r
e
e
q
q
9
c
q
c
q
9
q
a
?
q
q
Q
q
9
q
q
9
q
r
lq
q
n
q
?
?
-
l
n
l
1
1
1
!
!
9
9
!
9
9
9
qn
n
l
n
t
n
n
l
n
n
n
n
n
n
l
i
n
n
n
q
n
n
n
n
l
l
q
n
n
l
n
n
?e
n
?
a
a
:
:
?
q
q
Q
-
-
q
a
q
q
q
q
n
q
-
-
-
q
1
9
1
4
1
1
9
N=
=
=
a
l
!
!
!
!
l
t
:
!
a
a
1
^
e8
€
€
B
3
3
G
G
e
8
G
€
3
3
€
€
3
3
€
3
3
3
3
3
3
3
8
8
3
3
3
3
qn
n
t
i
:
i
-
n
n
n
-
n
n
n
q
n
n
q
n
n
n
n
l
l
n
n
n
n
n
l
n
n
??
t
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
Q
?
?
?
?
?
?
?
?
e
?
?
?
?
9
an
n
l
a
l
a
a
l
n
n
a
i
n
t
n
n
t
n
l
!
n
q
l
a
a
a
a
n
a
n
n
n
53
5
€
E
E
8
3
E
5
E
E
5
E
5
3
E
3
5
5
5
5
E
E
5
5
E
5
5
E
E
8
E
et
t
t
?
t
=
t
t
t
=
t
=
e
t
t
t
=
l
l
l
l
l
l
l
?
l
?
l
l
e
l
l
9:
n
a
9
i
l
a
n
:
n
:
9
-
n
:
r
i
l
a
:
:
n
a
9
:
l
a
9
:
l
:
!
€6
€
€
F
F
F
F
a9
9
n
9
9
n
9
1
t
1
3
9
9
9
?
?
?
t
n
a
!
a
9
9
9
r
9
n
1
9
9
9
10
8
of
2
0
l
=
E3
n9
ii41
6F
i
5
d
+
6
r
a
:d
r
d
-
o
-
d
6
r
-
i
d
'
6
r
6
EE
3
A
E
3
3
E
3
E
E
E
E
I
E
A
E
E
9
I
3
8
E
E
E
3
3
E
3
E
3
99
!
9
1
1
a
a
n
n
n
-
-
-
:
i
q
?
9
q
q
{
t
9
9
t
a
a
n
l
-
i9
i
e
*
q
q
q
r
e
i
e
q
q
-
-
q
a
q
n
?
r
l
1
1
l
n
:
i
9
9
nn
l
9
9
a
i
q
q
q
q
q
q
a
*
a
i
i
e
i
i
e
?
r
e
i
9
9
9
1
i
60
5
0
0
c
3
3
5
0
a
o
li
?
?
?
?
;
?
?
?
i
;
i
i
i
"
?
i
?
?
?
?
i
i
?
?
?
?
e
c
?
?
9€
€
O
0
0
--
?
q
q
q
"
q
9
q
q
q
q
q
q
q
q
q
q
q
q
q
e
?
q
r
r
r
9
9
n
-
1:
9
i:
-
q
r
?
-
q
q
a
a
i
c
9.
c
q
n
9
a
?
n
q
-
9
!
q
?
*
65
5
4
O
_
q
eI
n
l
a
1
a
l
n
l
1
1
a
l
n
n
n
n
1
1
l
n
t
a
i
1
1
1
a
a
1
Ii
t
-5
I
t^
E
I
5
tE
I
{
E
€i
i
{
E
i
I
EI
E
i
{
€
I
E
I
I
n
!
?
l
-.
6
q
I
T
r
I
l
n
n
?
l
n
9
?
a1
?
qn
a
nq
n
n
n
9
:i
i
i
:
:
n
l
l
l
n
n
n
e
n
i
n
n
n
n
n
n
$
t
a
n
t
n
t
n
n
!90
!E_a
.Z
.2
_
Uaa{!8l
::
!l
a
n
n
l
n
l
l
t
t
-
-
a
-
q
q
q
q
q
q
q
e
t
i
9
9
9
9
a
a
3*
6
6
-
A-
.
a
r
s
-
o
N;
d
F
6
d
N
+
6
c
o
j
-6
6€
o
^
3E
E
E
E
E
3
E
E
E
E
E
E
E
8
E
E
E
E
8
E
3
E
E
E
E
3
3
3
E
E
3
3
3
3
3
3
E
E
3
it
i
i
9
9
l
9
i
9
i
i
i
i
i
i
{
P
p
*
r
<
q
q
?
f
ee
e
c
*
e
e
i
i
i
9
9
9
9
--
-
:
q
Q
Q
q
-
-
-
-
-
-
-
l
n
l
n
l
a
a
a
a
a
n
a
a
n
n
l
-
-
-
-
?
q
q
q
c
?t
1
a
l
9
e
9
i
-
-
1
a
-
a
i
q
t
n
r
t
t
l
9
9
9
n
q
?
q
q
q
!
9
q
q
a
i
-
9
nl
t
t
l
i
n
n
l
n
l
l
l
n
n
e
i
n
i
n
l
n
n
n
t
l
t
l
n
n
n
n
r
n
n
n
n
n
n
n
q-
l
I
n
1
n
1
9
9
i
t
9
9
a
9
q
?
-
1
n
n
a
:
q
:
l
a
t
!
9
9
!
1
a
1
9
t
t
{
9
nq
a
a
a
q
?
?
a
a
q
-
.
-
-
l
l
n
a
q
n
t
n
n
n
l
n
n
n
n
t
n
n
n
t
t
t
-
-
:
??
?
?
?
?
?
?
?
?
?
"
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
?
9
?
?
9
?
?
?
?
?
?
?
N
d
^
N
{
N
N
d
d
d
N
d
^
^
^
i
d
^
N
d
d
d
d
d
d
d
d
d
d
d
d
d
d
d
N
ss
s
s
s
E
E
s
s
s
s
S
g
s
B
s
g
g
E
s
s
s
s
B
s
s
g
B
g
B
g
g
g
s
B
B
s
B
s
s
Nd
d
A
d
d
d
d
N
-
10
9
of
2
0
l
a
u1
!Isb8l
!?E}
tq
!9AYu
:E
.3
.?
.:
H
I
1n
-
:
?
e
q
q
!
\
i
9
9
9
9
a
a
a
a
n
n
-
:
q
-
q
9
9
9
q
q
q
q
q
q
q
q
q
f
re
f
e
e
e
f
5:
6
6
r
6
o
d
+
6
F
6
j6
6
o-
i
d
d
6
F
a
-
d
+
d
d
d
j
3E
3
E
E
3
3
t
I
I
E
E
E
3
t
E
E
E
3
E
E
3
E
E
E
E
E
E
E
E
E
E
E
E
3
3
3
3
3
3
8
3
3
E
E
E
3
;-
-
-
€
d
d
€
6
-
-
&
€
d
d
E
6
.
,
d
d
,
d
d
-
d
r
*
-
d
.
d
d
d
d
-
d
d
d
-
-
d
d
i
-
d
€
in
q
a
c
i
i
9
9
9
9
1
a
e
n
t
-
:
9
q
q
q
q
q
q
q
q
q
q
q
?
?
9
q
q
q
q
9
q
q
l
q
-
:
-
1
1
?
qQ
-
n
a
-
-
a
9
e
q
c
q
q
-
n
n
n
n
n
l
?
-
n
a
a
!
9
1
n
1
t
1
1
a
r
n
?
q
q
q
q
q
q
e
i
9
n
aa
l
n
n
i
i
l
-
-
c
q
q
q
r
t
9
9
9
n
n
1
l
n
n
i
l
t
-
-
-
-
-
-
?
?
q
a
a
{
e
{
*
e
q
e
!
9
qn
i
t
n
q
q
n
n
n
q
n
q
n
n
n
n
q
n
i
l
n
q
n
n
q
n
n
n
e
n
n
n
q
q
q
n
n
n
n
n
q
n
i
n
q
n
n
n-
q
e
r
f
:
-
q
-
q
q
i
q
q
a
!
1
a
n
1
-
?
:
?
q
a
q
i
e
!
?
*
i
a
n
l
n
r
n
-
:
q
q
q
r
?
f
rr
a
a
=
r
1
=
a
a
a
!
t
9
!
!
!
r
r
!
!
!
!
!
!
!
a
a
!
a
!
!
a
E
E
E
{
E
E
I
E
:
I
-E
E
E
E
E
E
C
E
q
!
E
E
C
I
-5
C
E
M
E
E
I
t
q
E
E
!
-E
i
_3
-E
:
I
!
-E
qt
l
n
r
q
l
q
n
-
q
n
q
n
l
l
l
r
l
n
!
*
q
-
9
9
-
9
n
n
i
l
l
9
?
9
q
q
!
!
9
l
q
q
i
l
l
a
l-
l
l
n
n
n
n
n
i
:
-
n
n
c
-
n
:
l
n
n
a
:
-
-
-
-
-
-
i
:
-
-
-
-
-
-
a
-
-
i
-
-
a
i
-
??
?
?
c
c
?
9
?
9
?
?
9
?
9
?
?
?
?
?
?
9
?
?
?
C
?
?
?
?
?
a
?
?
e
?
?
?
?
?
?
?
9
9
9
?
nl
a
a
.
i
l
a
n
l
a
a
a
l
a
a
a
a
a
l
a
!
a
M
1
t
a
a
a
1
a
a
a
a
1
a
1
1
:
a
a
a
1
1
d
d
d
d
o
5
d
-
!:
i
N
d
d
d
;
6
d
;
+
+
n
+
6
h;
n
b
i
6
b
F
F
r
i
d
nn
f
l
n
a
n
n
n
n
a
a
a
a
a
a
a
n
n
a
a
e
a
n
n
i
r
a
a
i
n
r
n
n
a
a
n
.i
i
'
i
i
.
i
i
i
F
F
f
6
;
a
-
d
sn
i
s
n
n
n
n
n
n
n
n
I
l0
of
2
0
l
pyllffinse
TTCHNICAL GROUP
Emissions Calculations
Location HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Sou.ce
Project No. AST-2023- 1660
Run Number Runl Run2 Run3 Averase
Date
Start Time
Stop Time
8t25t23 8/28-8/29t23 8/29-8t30/23
8:20 22:58 23:25
12:,51 3:13 3:51
Calculated Data - Outlet
Oz Concentrati on, o/o dry coh 7.55 5.86 5.98 6.46
CO: Concentration, % dry cco, 7.43 8.33 8.46 8.08
pullffiircB
T E c H N {cA L G rq * u
?o."ooo, HFSinclairwoodsCrossRefinins.Llc-westBountitul.ur
Runl-RMData
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date:8/25123
Time
Unit
Stetus
Or - Outlet COr - Outlet
Y,dry Y"drl
Valid Valid
8:20
8:21
8:22
8:23
8'_24
8:25
8:26
8:27
8:28
8:29
8:30
8:31
8:32
8:33
8:34
8:35
8:36
8:37
8:38
8:39
8:40
8:41
8:42
8:43
8:44
8:45
8:46
8.47
8:48
8:49
8:50
8:51
8:52
8:53
8:54
8:55
8:56
8:57
8:58
8:59
9:00
9:01
9:02
9:03
9:04
9:05
9:06
9:07
9:08
9:09
9:10
9:l I
9:12
9:13
9:14
9:15
9:16
9:17
9:18
9:19
9:20
9:21
9:22
112 of 201
7.14
7.18
7.15
7.15
7.13
7.t4
7.1 I
7.12
7.21
7.26
7.25
7.38
7.45
7 .41
7.45
7.39
7.40
1.45
7.45
7.42
7.4t
7.4t
7.40
7.39
7.42
'1.40
1.46
7.46
7.44
7.42
7.48
7.47
7.59
7.59
7.52
7.54
7.50
7.52
7,52
7.53
7.4t
7.38
7.29
7.31
7.33
7.33
7.33
7.26
7.27
7.28
7.20
7.35
7.39
7.39
7.43
7.64
7.67
7.70
7.62
7.71
7.65
7.61
7.58
7.72
7.69
7.71
7.71
7.73
7.72
7.72
7 .72
7 .67
7 .65
7.66
7 .54
7 .47
7.49
7.48
7 .51
7.50
7.48
7.49
7.50
7.50
7.s0
7.5t
7.52
7 .51
7.s2
7 .47
'7 .47
1.48
7.48
7 .45
7 .45
7.38
7.38
7 .44
7.43
7.46
7 .44
7,40
7.41
7.50
7.53
7.60
7.59
7.58
7.58
7.58
7.60
7.59
7.60
7.64
7.58
7.55
7.56
7.49
7.36
7.30
7.29
7.34
7.29
7.33
7.36
7.39
nnffirrce
TECHNICAL GROL-'P
Runl-RMData
Location: HF Sinclair Woods Cross Refining. LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date:8,25123
Time
Unit
Ststus
Oz - Outlet CO, - OutletY"dry Y"dry
Valid Vdid
9.23
9:24
9:25
9:26
9:27
9:28
9:29
9:30
9:31
9:32
9:33
9:34
9:35
9:36
9:37
9:38
9:39
9:40
9:41
9:42
9:43
9:44
9:45
9:46
9:47
9:48
9:49
9:50
9:51
9:52
9:53
9'_54
9:55
9:56
9:57
9:58
9:59
10:00
l0:01
l0:02
l0:03
l0:04
l0:05
l0:06
l0:07
l0:08
l0:09
l 0:10
l0:ll
l0:1 2
10: l3
l0: l4
l0:15
l0: l6
l0: l7
l0: l8
l0: l9
l0:20
10:21
l0:22
l0:23
l0:24
l0:25
1 l3 of20 I
7.60
7.61
7.65
7.61
7.68
7.65
7.75
7.83
7.90
7.89
7.82
7.86
7.',18
7.80
7.80
7.78
7.86
7,80
1.76
7.77
7.70
7.79
7.80
7.74
7.81
7.83
7.89
7.91
7.94
7.92
7.m
7.93
7.83
7.88
7.87
7.88
7.87
7.83
7.83
7.90
7.84
7.75
7.76
7.75
7.75
7.81
7.19
7.78
7.82
7.80
7.81
7.87
'1.82
7.78
'1.92
7.85
7.89
7.91
1 .9t
7.80
7.74
7 .78
7.78
7.38
7 .35
7.38
7 .3s
7 .36
7.29
7.22
7 .t6
7.16
7.23
7.24
1)1
7.28
7.29
7.29
7.23
7.26
7.28
7.28
7 .31
7.25
7.25
7.29
7.24
7.24
7.20
7. l8
7.17
7.18
7.20
7.18
7.23
7.21
7.21
7.21
7.20
7.20
7.20
7.19
7.27
7.30
7.26
7.26
7.25
7.23
7.25
7.26
7.25
7.24
7.23
7.20
7.24
7.29
7 .19
7.22
7.22
7.20
1 .19
1.24
7.27
7.27
7.28
N:ffirpe"r r c H N i c A L (3 R o o
?*"nrn, HF sinclair woods cross Refining, LLC - west Bountitul, ur
Run 1- RM Data
Source: Process Heater 20H3
Project No.: AST-2023-1660
Dile:8/25123
Time
Unit
Status
Or - Outlet CO, - Outletn/"dry Y"dry
Valid Valid
l0:26
l0:27
l0:28
l0:29
l0:30
l0:31
l0:32
l0:33
l0:34
l0:35
l0:36
l0:37
l0:38
l0:39
l0:40
l0:41
l0:42
l0:43
l0:44
l0:45
l0:46
l0:47
l0:48
l0:49
l0:50
10:51
l0:52
l0:53
l0:54
l0:55
l0:56
l0:57
l0:58
l0:59
I l:00
I l:01
I l:02
I l:03
I l:04
I l:05
I l:06
I l:07
I 1:08
I l:09
l 1:10
ll:ll
ll:12
I l:13
I l:14
I l:15
l l:16
I l:17
l l:18
ll:19
I l:20
I l:21
ll:22
ll:23
ll:24
ll:25
ll:26
ll:27
I l:28
I l4 of20 I
7.79
7.83
7.74
7.63
'1.69
7.s6
7.16
7.77
7.58
7.62
7.46
7.56
7.64
7.56
7 .61
7.61
7 .51
7.60
7.55
7.56
7 .51
7.48
7 .4'.1
7.48
7.43
7.38
7.36
7.50
7.42
7.42
7.s2
7.43
7.49
7 .4',1
7.28
'1.27
7.35
'1.3t
7 .35
'1.32
1.36
7.31
7.32
7.27
7.38
7 .50
7 .61
7.46
7.54
7.51
7.51
7.47
7.43
7.40
7.31
7.34
7.37
7.47
7.45
7.45
7.43
7.40
130
7.27
7.24
7.31
7 .37
7.35
7.43
7.30
7.31
7.43
7.40
7.51
7.44
1.39
'1.46
7.40
7 .41
7 .49
7 .41
7.4',1
7 .45
'1.48
7.51
7 .54
7.53
7 .55
7.57
7.59
7.5t
7.57
7.57
7.52
7 .59
1 .54
7 .56
7.68
7.7t
7.65
7.67
7.65
7.65
7.63
7.66
7.66
11i
7.65
I .)3
't.45
7.54
7.49
7.51
7.51
7.52
7 .57
'1.58
7.63
7.62
7 .59
7 .54
7.56
7.55
7.57
7 .59
'1.65
putffiircB
TEC'-INiCAL GNOUP
Runl-RMData
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date:8125123
Time
Unit
Strftrs
Or - Outlet COz - Outlet
"hdry "hdry
Valid Valid
ll:29
I l:30
I l:31
ll:32
I l:33
l1:34
I l:35
I l:36
ll:37
1 l:38
I l:39
I l:40
I l:41
ll:42
I l:43
ll:44
I l:45
I 1:46
ll:47
I l:48
l1:49
1l:50
ll:51
ll:52
11:53
I 1:54
I l:55
I l:56
I l:57
I 1:58
I 1:59
l2:00
l2:01
l2:02
l2:03
l2:04
l2:05
l2:06
l2:07
l2:08
12:09
l2: l0
l2:11
12:12
l 2:13
12:14
12:15
12:16
12:17
l2: l8
12:19
l2:20
12:21
12:22
12:23
12:24
12:25
12:26
12:27
l2:28
12:29
l2:30
l2:31
ll5 of20l
7.40
7.45
7.46
7.40
7.38
7.30
7.43
7.51
7.55
7.53
7.48
7.48
7.41
7.43
7.43
7.58
7.51
'1.57
7.43
7.44
7 .53
7.62
7.54
7.64
7.59
7.62
7.57
7.61
7.59
't .55
7.40
7.52
7.49
7.62
7.60
7.67
7.59
7.55
7.49
7.67
7.67
7.66
7.66
7.62
7.66
7.70
7.37
7.28
7.45
7.30
7.28
7.34
7.45
7.35
7 .56
7.65
7.63
7.63
7.66
7.63
7.64
7.62
7.63
'1.60
7 _56
7.58
7.60
7.62
7.66
7.59
7.55
7.51
7.53
7.55
'1 .55
7.59
1.58
7 .59
7 .5t
7 .54
7.52
7 .61
7.60
7 .55
7 .47
7.52
7.47
7.50
7.46
7.48
7.46
'1.46
7.47
56
52
55
50
50
7.44
7.49
7.49
7.53
7.45
7.43
7.45
7.4s
7.48
7.41
7.41
7.63
7.70
7 .61
7.72
7.75
7.76
7.67
7.71
7.55
50
53
54
52
5l
7.49
7.49
7.46
AlmrEBrU*fihI ,(:AL (:ROtJP
Locatioo,
Source,
Runl-RMData
Project No.: AST-2023-1660
Date:8/25123
Time
Unit
Status
Or - Outlet CO, - OutletY"dry Y"dry
Valid Valid
l2:32
l2:33
l2:34
l2:35
l2:36
12:37
l2:38
l2:39
l2:40
l2:41
l2:42
12.43
12:44
12.45
12:46
l2:47
l2:48
12.49
l2:50
7.64
7.53
7 .54
7 .55
7 .57
7.60
7.58
7 .59
7 .57
'1.65
7 .71
7.59
7 .59
7 .58
7.52
7.56
7.56
7.70
7.82
'7 .47
7 .54
7.54
'7.52
7 .49
7.46
7 .47
7.48
'1.50
7 .45
7.40
7.47
7.48
7.47
7.51
7.49
7.48
7.37
7.23
Prmmeter
Uncorrected Run Average (Co5,)
Cal Gas Concentration (Cp1)
Pretest System Z€ro Response
Posttest System Zero Response
Average Zerc Response (Co)
Pretest System Cal Response
Posttest System Cal Response
Average Cal Response (Cy)
Corrected Run A
Or - Outlet COr - Outlet
7 .56 7.46
t0.95 10.'14
0.lz 0.05
0.07 0.07
0.10 0.06
t0.95 10.76
10.88 10.74
10.92 10.75
7 _55 1.43
I l6 of20l
auffirrce
T s c f'|i\.t lcA L G R o o
?*"noo, HFsinclairwoodscrossRefinins.LLc-westBountitul.ur
Run2-RMData
Source: Process Heater 20H3
Projrct No.: AST-2023-1660
Datet 8/28-8/29123
Time
Unit
Strftrr
Or - Outlet COr - Outleto/"dry "/'dry
Valid Valid
22:58
22:59
23:00
23:01
23:02
23:03
23:04
23:05
23:06
23.07
23:08
23:09
23: l0
23:ll
23..t2
23: l3
23:14
23:15
23.16
23:17
23:18
23:19
23:20
23:21
2322
23:23
23:24
23:25
23:26
23:27
23:28
23:29
23:30
23:31
23:32
23:33
23:34
23:35
23:36
23:37
23:38
23:39
23:40
23.41
23:42
23:43
23:44
23:45
23:46
23:47
23:48
23.49
23:50
23:51
23:52
23:53
23:54
23:55
23:56
23:57
23:58
23:59
0:00
ll7 of20l
6.72
6.73
6.68
6.55
6.02
5.72
5.70
5.76
5.9
6.23
6.35
6.43
6.48
6.54
6.55
6.50
6.49
6.45
6.28
6.23
6.21
6.15
6. l0
6.06
6.01
5.97
5.97
5.90
5.89
5.85
5.83
5.88
5.87
5.81
5.95
6.01
5.99
5.94
6.05
6.00
6.08
6.07
6. l3
6. l0
6.t4
6. l3
6.1 I
6.1 I
6.08
6. l0
6.t2
6. l3
6.23
6.27
6.37
6.37
6.45
6.51
6.58
6.63
6.s9
6.59
6.s6
7 .51
7 .54
7 .54
7.65
8.10
8.36
8.37
8.3s
8.24
8.l l
8.04
8.01
8.00
7.96
7,96
7.98
7.99
8.01
8.tI
8.t5
8. l8
8.21
8.2s
8.28
8.32
8.34
8.34
8.36
8.39
8.41
8.44
8.41
8.41
8.45
8.39
8.36
8.38
8.41
8.34
8.37
8.34
8.33
8.31
8.30
8.28
8.29
8.32
8.30
8.32
8.32
8.29
8.30
8.25
8.22
8.t7
8. l6
Ll2
8.08
8.04
8.02
8.04
8.04
8.07
anl6rrce
T E n F-'l N I c A L G fi *
' ?o."non, HF Sinclair woods Cross Refining, LLC - west Bountitul. ur
Run2-RMData
Source: Process Heats 20H3
Project No.: AST-2023-1660
Datez 8128-8129123
Time
Unit
Strtus
O: - Outlet COr - Outlet
Y"dry "/"dry
Valid Valid
0:01
0:02
0:03
0:04
0:05
0:06
0:07
0:08
0:09
0:10
0:l I
0:12
0:13
0: l4
0:15
0:16
0:17
0:18
0:19
0:20
0:21
0:22
0:23
0:24
0:25
0:26
0:27
0:28
0:29
0:30
0:31
0:32
0:33
0:34
0:35
0:36
0:37
0:38
0:39
0:40
0:41
0:42
0:43
0:44
0:45
0:46
0.47
0:48
0.49
0:50
0:51
0:52
0:53
0:54
0:55
0:56
0:57
0:58
0:59
l:00
l:01
l:02
l:03
118 of20l
6.50
6.48
6.4t
6.28
6.20
6.07
6.05
5.99
6.05
5.99
5.96
5.98
6.00
5.94
5.95
5.90
5.89
5.80
5.69
5.64
5.70
5.73
5.69
5.60
5.61
5.67
s.62
5.56
5.56
5.51
5.46
5.54
s.84
5.92
5.91
5.85
5.7 5
5.67
5.57
5.71
5.96
5.98
5.96
5.87
5.90
5.88
5.89
5.87
5.88
5.93
5.90
s.92
5.85
5;t 5
5.69
5.72
s.70
5.66
5.69
5.7 4
5.78
5.84
s.84
8.09
8.r0
8.15
8.22
8.26
8.32
8.33
8.37
8.35
8.37
8.38
8.38
8.36
8.40
8.39
8.42
8.42
8.48
8.53
8.56
8.53
8.52
8.53
8.58
8.58
8.55
8.58
8.60
8.61
8.63
8.65
8.62
8.46
8.40
8.40
8.44
8.49
8.54
8.58
8.52
8.38
8.36
8.38
8.42
8.40
8.42
8.40
8.40
8.40
8.36
8.38
8.37
8.4t
8.47
8.49
8.47
8.49
8.50
8.s0
8.47
8.43
8.42
8.41
anIffiIEe
TTCHNICAL GROUP
Run2-RMData
L*"tioo,
Sor.cu,
Prnienf Nn . AqT-r0r1-1660
Date: 8/28-8129123
Time
Unit
Status
Oz - Outlet COr - OutletY"dry Y"dry
Valid Valid
l0
ll
l2
l3
l4
l5
l6
l7
l:04
l:05
l:06
l:07
l:08
l:09
5.79
5.84
5.89
s.89
5.87
s.9l
s.92
5.89
5.87
5.84
5.76
5.70
5.68
5.64
5.63
5.56
5.48
5.68
5.86
5.84
5.79
5.72
5.72
s.69
5.67
5.64
s.57
5.60
8.43
8.41
8.39
8.38
8.37
8.36
8.36
8.37
8.39
8.41
8.45
8.48
8.48
8.49
8.50
8.55
8.60
8.49
8.39
8.40
8.41
8.46
8.45
8.46
8.48
8.49
8.54
8.51
8.55
8.55
8.56
8.53
8.55
8.53
8.54
8.53
8.54
8.50
8.54
8.55
8.52
8.55
8.58
8.55
8.58
8.58
8.57
8.s8
8.60
8.60
8.58
8.52
8.54
8.57
8.58
8.49
8.53
8.49
8.53
8.52
8.52
8.61
8.59
1:18
1:19
1:20
l:21
l:22
l:23
l:24
l:25
l:26
27
28
29
30
3l
32
JJ
34
54
53
52
59
58
l:35
l:36
l:37
l:38
l:39
l:40
l:41
l:42
l:43
l:44
1:45
l:46
l:47
l:48
l:49
l:50
l:51
l:52
l:53
l:54
l:55
l:56
l:5'1
l:58
l:59
2:00
2:01
2:02
2:03
2:04
2:05
2:06
5.s7
5.s4
5.57
5.59
5.64
5.54
5.53
5.60
5.53
s.49
5.55
5.51
5.50
5.50
s.49
s.45
5.44
5.46
5.57
5.52
5.49
5.47
5.64
5.61
5.66
5.61
5.62
5.61
5.45
5.45
I l9 of201
Run2-RMDataan6rrceTrrHN{cAL GR
?o."tion,nrsi*rui.w*arc^.n
Source: Process Heater 20H3
Project No.: AST-2023-1660
Datet 8128-8129123
O: - Outlet COr - Outlet
Y"dry o/"dry
Valid Valid
Time
Unit
Status
l0
2:14
2:15
2:16
2:17
2:18
2.19
2:20
2:21
2:22
2:23
2:24
2:25
2:26
2:27
2:28
2:29
2:30
2:31
2:32
2:33
2:34
2:35
2:36
2:31
2:38
2:39
2:40
2:41
2:42
2:43
2:44
2.45
2:46
2:47
2:07
2:08
2:09
5.42
5.33
s.40
5.37
5.32
5.42
5.31
5.30
5.27
5.25
5.31
5.33
5.30
5.39
5.32
5.22
5.29
5.23
5.31
5.31
5.30
5.27
5.22
5.24
5.31
5.21
5.2t
5.24
s.25
5.38
5.46
5.56
s.56
5.67
5.67
5.70
5.73
5.80
5.85
5.86
5.89
5.84
5.7 5
5.80
5.94
5.76
5.70
5.76
5.84
5.78
5.7 |
5.65
5.76
5.88
5.87
5.91
5.98
5.98
6.16
6.19
6.18
6.1I
6.03
8.61
8.66
8.63
8.64
8.68
8.63
8.67
8.69
8.69
8.70
8.68
8.67
8.69
8.64
8.66
8.70
8.68
8.72
8.68
8.67
8.68
8.70
8.72
8.71
8.66
8.70
8.71
8.71
8.71
8.64
8.60
8.55
8.55
8.50
8.49
8.47
8.46
8.42
8.40
8.39
8.38
8.40
8.45
8.42
8.38
8.60
8.64
8.56
8.48
8.50
8.52
8.53
8.43
8.34
8.34
8.32
8.28
8.30
8.21
8. 19
8.22
8.24
8.29
2:48
2:49
2:50
2:51
2:52
2:53
2:54
2'.55
2:56
2:57
2:58
2:59
3:00
3:01
3:02
3:03
3:04
3:05
3:06
3:07
3:08
3:09
l2O of 2Ol
Run2-RMData
TECHNICAI, GRGUP
Location: HF Sinclair Woods Crcs Refinins. LLC - West Bountifirl. UT
Sou"a",
P*ject No.,
Da're: 8128-8,129/23
Or - Outlet CO, - Outlet
'/. dry o/o dry
Time
Unlt
Status
3:10
3;l I
3:12
6.06
6.2s
6.24
8.27
8.17
8.18
Or - Outlet COr- Outlet
Uncorrccted Run Avenge (C.u)
Cll Grs ConccDtratior (Cp1)
Pretest Systcm Zero Response
Posttsst System Zero Responsc
Average Zero Rcsponse (Co)
Pretest Systed C&l Response
Po8ttcst System Cal Response
Average Cal Responsc (Cy)
8.42
t0.74
0.07
0.09
0.08
10.87
10.78
10.83
8.33
5.82
10.95
0.02
0.02
0.02
10.87
10.85
10.86
5.86
l2l of201
nllffirrce
TECilNI(}AL GROUP
Run3-RMData
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, LrT
Source: Process Heater 20H3
Project No.: 4ql?023-166q
Datez 8129-tl30D3
Time Or - Outlet COr - Outlet
Unit "h dry
Status Valid
o/o dry
Valid
23:25
23:26
23:2'1
23:28
23:29
23:30
23:31
23:32
23:33
23:34
23:35
23:36
23:37
23:38
23:39
23:40
23:41
23:42
23:43
23:44
23:45
23:46
23:47
23:48
23:49
23:50
23:51
23:52
23:53
23:54
23:55
23:56
23:57
23:58
23:59
0:00
0:01
0:02
0:03
0:04
0:05
0:06
0:07
0:08
0:09
0:10
5.92
5.70
5.66
5.79
5.81
5.89
5.93
5.87
5.95
5.D
6.02
5.95
6.00
5.90
5.89
5.86
5.86
5.95
5.89
5.79
5.81
6.00
5.89
5.86
5.80
5.91
6.02
5.98
6.08
5.97
6.05
6.01
5.94
6.01
6. ls
6.37
6.26
6. l6
6.l l
6.04
5.96
5.98
6.01
6.0s
6.06
6.0'1
6.09
6,09
6.08
6.05
6.04
5.90
5.89
5.93
5.90
5.86
5.84
5.80
5.70
5.7s
5.69
5.69
5.69
8.44
8.56
8.56
8.50
8.50
8.46
8.44
8.48
8.42
8.41
8.39
8.43
8.40
8.47
8.48
8.49
8.48
8.44
8.4'l
8.53
8.50
8.39
8.45
8.48
8.51
8_45
8.38
8.41
8.35
8.41
8.38
8.40
8.43
8.40
8.32
8.20
8.27
8.31
8.35
8.37
8.41
8.41
8.40
8.37
8.35
8.35
8.34
8.35
8.36
8.38
8.39
8.47
8.48
8.46
8.47
8.49
8.50
8.50
8.56
8.52
8.s7
8.57
8.58
0:11
0:12
0:13
0:14
0:15
0:16
0:17
0:18
0:19
0:20
0:21
0:22
0:23
0:24
0:25
0:26
0:27
122 of 201
E Run 3 - RM DataAIATGe
T E c l-"1 hl I c A L G H
?ocation: HFsinclairwoodscrossRefining,LLC-westBountitul,ur
Sou.aa,
Project No.: AST-2023-1660
Date: 8/29-8130123
Or - Outlet COr - Outlel
"hdry o/"dry
Time
Unit
Status Valid
0:28
0:29
0:30
0:31
0:32
0:33
0:34
0:35
0:36
0:37
0:38
0:39
0:40
0:41
0:42
0:43
0:44
0:45
0:46
0:47
0:48
0:49
0:50
0:51
0:52
0:53
0:54
0:55
0:56
0:57
0:58
0:59
l:00
l:01
l:02
l:03
l:04
l:05
l:06
l:07
l:08
l:09
l:10
l:l I
t2
t3
l4
l5
5.76
5.7 5
5.71
s.64
5.66
5.74
5.7 5
5.80
5.83
5.77
5.7 5
5.80
5.77
5.79
5.80
5.77
5.78
5.82
5.82
5.81
5.78
s.80
5.80
s.78
5.79
s.82
5.77
5.7 5
5.78
5.76
5.81
5.75
5.88
5.95
5.92
5.88
5.87
5.86
5.81
5.83
5.81
5.77
5.70
5.70
5.69
5.67
5.67
s.73
5.77
5.79
5.81
5.91
5.94
5.96
5.96
5.94
5.94
5.90
5.86
5.93
s.94
s.92
5.96
8.53
8.55
8.57
8.60
8.59
8.s4
8.55
8.51
8.50
8.54
8.53
8.52
8.53
8.51
8.50
8.51
8.50
8.48
8.47
8.49
8.51
8.51
8.53
8.54
8.s3
5l
54
55
53
54
52
l: l6
l:17
l:18
l:19
l:20
l:21
l:22
l:23
l:24
l:25
l:26
l:27
l:28
l:29
l:30
8.54
8.48
8.44
8.46
8.48
8.48
8.49
8.51
8.51
8.52
8.56
8.58
8.58
8.59
8.59
8.60
8.s6
8.51
8.51
8.49
8.44
8.41
8.40
8.42
8.41
8.40
8.42
8.44
8.41
8.41
8.43
8.42
123 of20l
E Run 3 - RM DataAlArEe
T EC l-{ N I cAL G R
?*"tiro,
Sortau,
Project No.: AST-2023-1660
D*e: 8/29-8130/23
Or - Outlet COr - Outlet
"/"dry Y"dry
Valid Valid
Time
Unit
Status
l:31
l:32
l:33
l:34
l:35
l:36
l:37
l:38
l:39
l:40
l:41
l:42
l:43
l:44
l:45
l:46
l:47
l:48
l:49
50
5l
52
53
54
5s
56
57
58
59
5.92
5.89
5.94
5.95
5.87
5.81
5.84
5.83
5.83
5.7 5
5.78
5.76
5.79
s.80
5.83
5.81
5.80
5.85
s.81
5.85
5.81
5.84
5.80
5.80
5.8t
5.86
5.82
5.79
5.75
5.77
5.83
5.90
6.24
6.28
6.35
6.35
6.34
6.29
6.17
6.07
6.06
6.09
6.03
6.03
6.26
6.46
6.51
6.45
6.44
6.35
6.36
6.27
6. l0
6.02
5.82
5.84
5.90
5.88
5.96
6.18
6.18
6.20
621
8.44
8.46
8.41
8.42
8.46
8.50
8.48
8.46
8.46
8.50
8.51
8.50
8.48
8.48
8.46
8.47
8.47
8.47
8.44
8.46
8.49
8.46
8.49
8.48
8.47
8_48
8.49
8.49
8.5t
8.51
8.48
8.42
8. l4
8.07
8.05
8.03
8.06
8.08
8,20
8.30
8.32
8.29
8.32
8.32
8. l6
8,01
7.98
8.00
8.00
8.05
8.05
8.14
8.28
8.35
8.49
8_47
8.43
8.42
8.36
8. l9
8. l8
8. l6
8. l4
2:00
2:01
2:02
2:03
2:04
2:05
2:06
2:07
2:08
2:09
2:10
2:l I
2:12
2:13
2:14
2:15
2:16
2:17
2:18
2:19
2:20
2:21
2:22
2:23
2:24
2:25
2:26
2:27
2:28
2:29
2:30
2:31
2:32
2:33
124 of201
Al6rrce
TTC!.1NICAL (3HOUP
Run3-RMData
Locrtion: HF Sinclair Wmds Crms Refinins. LLC - West Bomtiful. t T
Source: Prmess Heater 20H3
Project No.: AST-2023-1660
D*e: 8129-813O/23
Time
Unit
Strtus
Or - Outlet COr - Outlet
Y"dry o/"dry
Valid Valid
2:34
2:35
2:36
2:37
2:38
2:39
2:40
2:41
2:42
2:43
2:44
2:45
2:46
2:4'l
2:48
2:49
2:50
2:51
2:52
2:53
2:54
2:55
2:56
2:57
2:58
2:59
3:00
3:01
3:02
3:03
3:04
3:05
3:06
3'.07
3:08
3:09
3:10
3:l I
3:12
3:13
3:14
3: l5
3:16
3:17
3:18
3:19
3:20
3:21
3:22
3:23
3:24
3:25
3:26
3:27
3:28
3:29
3:30
3:31
3:32
3:33
3:34
3:35
3:36
125 of 201
6.27
6.24
6. l0
5.96
5.87
6.13
6.1 I
5.91
6.00
5.98
6.06
5.93
6.0t
6.04
6.0s
6.06
6.13
6.05
6.03
5.97
s.93
5.87
5.81
5.86
5.84
5.81
5.79
5.86
5.88
5.82
5.89
5.88
5.86
5.87
5.91
5.88
5.94
5.95
5.98
6.00
5.98
5.98
6.00
5.97
6.01
5.99
5,96
5.93
6.01
6.03
6.00
6.01
6.00
5.98
6.00
5.96
5.98
6.04
6.00
6.07
6.02
5.9',1
596
8.1 I
8. l4
8.26
8.35
8.42
8.30
8.29
8.40
8.37
8.37
8.34
8.40
8.36
8.34
8.33
8.32
8.30
8.34
8.35
8.38
8.38
8.41
8.46
8.43
8.44
8.46
8.46
8.43
8.43
8.45
8.42
8.43
8.43
8.42
8.40
8.40
8.39
8.38
8.36
8.36
8.36
8.37
8.36
8.36
8.34
8.34
8.36
8.38
8.35
8.34
8.34
8.34
8.34
8.36
8.35
8_37
8.36
8.35
8.38
8.34
8.36
8.38
838
anlffirrce
T E c H N icAL G $tr c! ti 13
mdscrossRefinins.LlC-westBountitul.UT
Run3-RMData
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date: 8/29-8/30/23
Time
Unit
Status
0: - Outlet CO: - Outlet
"hdry "hdryValid Valid
3:37
3:38
3:39
3:40
3:41
3:42
3:43
3.44
3:45
3'.46
3:47
3:48
3:49
3:50
5.88
5.90
5.86
5.86
5.83
5.95
5.90
5.91
5.89
5.88
5.95
5.9t
5.81
5.84
5.93
10.95
0.06
0.04
0.05
10.79
10.85
10.82
s.98
8.43
8.41
8.43
8.43
8.44
8.39
8.41
8.41
8.43
8.43
8.4r
8.42
8.47
8.46
COr - Outlet
Uncorrected Run Average (qb,)
Cal Gas Concentration (Cm)
Pretest System Zcro Response
Posttest System Zero Response
Avcroge Zero Response (Co)
Pretest System Cal Response
Posttest Systcm Csl Response
Avcrage Cal Response (CM)
orrected Run
8.41
t0.74
0.06
0.05
0.06
10.66
10.66
t0.66
8.46
126 of20l
127 of20l
$3 eurofins
Environment Testing
ANALYTICAL REPORT fJ}
PREPARED FOR
Attn: Austin Abranovic
Alliance Source Testing, LLC
214 Central Circle SW
Decatur, Alabama 35603
Generated 101212023 9:10:30AM Revision 1
JOB DESCRIPTION
HF Sinclair Woods - CTM-039
JOB NUMBER
140-33467-1
This report may not be reproduced except in full, and with written approval from the laboratory. The results relate only to the
samples tested. For questions please contact the Project Manager at the e-mail address or telephone number listed on this
page.
The test results in this report relate only to the samples as received by the laboratory and will meet all requirements of the
methodology, with any exceptions noted. This report shall not be reproduced except in full, without the express written
approval of the laboratory. All questions should be directed to the Eurofins TestAmerica Project Manager.
Eurcfins Knoxville is a laboratory within TestAmeica Laboratoies, lnc., a company within Eurofins Environment Testing Group of Companies
Page 2 of 35
129 of 2Ol
€*1.{ "ga"t f,ffi 1".0,,, o,.o o*
Arth"rk"d f"-"b"." by
Revision 1
Courtney Adkins, Project Manager ll
Courtney.Adkins(Aet.eurofi nsus.com
(865)291-301 I
101212023 (Rev. 1)
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM{39
Laboratory Job lD: 140-33467-1
Table of GontentsCoverPage ...... 1
TableofContents... 3 .Definitions/Glossary 4
Case Narrative 5
Detection Summary 7
Client Sample Results 9
Default Detection Limits 24
QC Association Summary 25
Lab Chronicle 26
CertificationSummary.. 29
Method Summary 30
Sample Summary 31
ChainofCustody... 32
ReceiptChecklists... 35
F:t-!:eW
E
Page 3 of 35
130 of20l
Eurofins Knoxville
1012t2023 (Rev. 1)
Deflnitions/Glossary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Glossary
Abbreviation These commonly used abbreviations may or may not be present in this report.
n Listed under the "D" column to designate that the result is reported on a dry weight basis
o/oR Percent Recovery
CFL Contains Free Liquid
CFU Colony Forming Unit
CNF Contains No Free Liquid
DER Duplicate Enor Ratio (normalized absolute difference)
Dil Fac Dilution Factor
DL Detection Limit (DoD/DOE)
DL, RA, RE, lN lndicates a Dilution, Re-analysis, Re-e)draction, or additional lnitial metals/anion analysis of the sample
DLC Decision Level Concentration (Radiochemistry)
EDL Estimated Detection Limit (Dioxin)
LOD Limit of Detection (DoD/DOE)
LOQ Limit of Quantitation (DoD/DOE)
MCL EPA recommended "Maximum Contaminant Level"
MDA Minimum DetectableActivity (Radiochemistry)
MDC Minimum Detectable Concentration (Radiochemistry)
MDL Method Detection Limit
ML Minimum Level (Dioxin)
MPN Most Probable Number
MOL Method Quantitation Limit
NC Not Calculated
ND Not Detected at the reporting limit (or MDL or EDL if shown)
NEG Negative i Absent
POS Positive / Present
PQL Practical Quantitation Limit
PRES Presumptive
QC Quality Control
RER Relative Error Ratio (Radiochemistry)
RL Reporting Limit or Requested Limit (Radiochemistry)
RPD Relative Percent Difference, a measure of the relative difference between two points
TEF Toxicity Equivalent Factor (Dioxin)
TEQ Toxicity Equivalent Quotient (Dioxin)
TNTC Too NumerousTo Count
Eurofins Knoxville
Page 4 of 35 101212023 (Rev. 1)
131 of20l
Case Narrative
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Job lD: 140-33467-1
Laboratory: Eurofins Knoxville
Narrative
H
Job Narrative
140-33467-1
Revision Notes
This report was revised to include initial sample volumes.
Receipt
The samples were received on 911212023 9:30 AM. Unless otherwise noted below, the samples arrived in good condition, and where
required, properly preserved and on ice. The temperature of the cooler at receipt was 21.9o C.
Receipt Exceptions
The container label for the following samples did not match the information listed on the Chain-of-Custody (COC): 20H3 - >PM10
ACETONE RTNSE - RUN 1 (140-33467-1),20H3 - PM10-PM2.5ACETONE RINSE - RUN 1 (140-33467-2),20H3 - <PM2.5 DIWATER
RINSE - RUN 1 (140-33467-3),20H3 - <PM2.5ACETONE RINSE - RUN 1 (140-334674) and 20H3 - <PM2.5 FILTER - 142MM - RUN'l
(140-33467-5). COC list collection date as 8-28-23,labels list 8-25-23,8-27-23,8-28-23- Logged per COC.
The Field Samplerwas not listed on the Chain of Custody.
The Chain-of-Custody (COC) was incomplete as received and/or improperly completed. Sample matrix not listed.
General Chemistry
Particulate Mafter by CTM-O39-Particulate Matter was determined for samples derived from Conditional Test Method 039 sampling trains.
The filter samples were dried in a desiccator over anhydrous calcium sulfate for a minimum of 24 hours. Acetone rinses were evaporated
in TeflonrM beaker liners in a hood at ambient temperature instead of aluminum pans in order to avoid possible reactions between acidic
stack contents and the aluminum pans. The aqueous impinger catch was simmered to less than 10 mL, and then evaporated to dryness
in an unheated forced draft oven. Data are reported to 0.01 mg as specified in the cited method. The reporting limit was lowered to the
readability of the balance used (0.0'l mg).
Method CTM 039: A deviation from the Standard Operating Procedure (SOP) occurred. Details are as follows: Beaker liners were weighed
three times and the average of all three was used as the liner tare weight per PM and consultant request.
Method CTM 039: Samples 20H3 - <PM2.5 FILTER - 142MM - RUN 't (140-33467-5), 20H3 - >PM10 ACETONE RINSE - RUN 3
('140-33467-11) and 20H3 - <PM2.5 ACETONE RINSE - RUN 3 (140-33467-14) did not achieve constant weight as described in SOP
KNOX-WC-0006 section 11.12.6 the last two gross weights were averaged and used as final sample weight.
MethodCTM039: Samples20H3-<PM2.5FILTER-142MM-RUN1(140-33467-5),20H3-<PM2.5FILTER-142MM-RUN2
(140-33467-10) and 20H3 - <PM2.5 FILTER - 142MM - RUN 3 ('t40-33467-15) arrived with significant damage to the filters (tares, frayed
edges, missing pieces). The analyst was careful to get all loose filter pieces weighed with the sample. However the damage may reflect a
low bias in the data.
No additional analytical or quality issues were noted, other than those described above or in the Definitions/Glossary page.
Eurofins Knoxville
Page 5 of 35 101212023 (Rev. 1)
132 of 201
Job 140-33467: Sample Volumes
Sample lD Volume (mL)
I-40-33467-A-1 58.2
L40-33467-A-2 47.3
L40-33467-A-3 160.9
L40-33467-A4 193.9
L40-33467-A-6 65.4
L40-33467-A-7 88.3
140-33457-A-8 737.7
L40-33467-A-9 164.0
140-33467-A-11 60.4
L40-33467-A-Lz 53.7
740-33467-A-L3 166.8
140-33467-A-L4 207.3
w
',1::::,. ..' .::
Page 6 of 35 1Ol2l2O23 (Rev. 1)
133 of20l
Detection Summary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Client Sample lD: 20H3 - >PM10 ACETONE RINSE - RUN 1 Lab Sample lD: 140-33467-1
I Analyte
] P*ti"rrrt" ltr"tt",
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample 1 CTM 039
Job lD: 140-33467-1
0.445
Client Sample ID: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
1
Lab Sample lD: 140-33467-2
I Analyte
Particulate Matter
t.-...
Result Oualifier RL MDL Unit Dil Fac D Method Prep Type
0.230 1 cTM 0390.0100 0.0100 mg/sample
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 1 Lab Sample lD: 140-33467-3
I anatyte
I ParticLrlate Matter
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample1.29 1 cTM 039
CIient Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 1 Lab Sample lD: 140-33467-4
l
] Analyte
] P*ti""l"rte tutatier
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
175 0.0100 0.0100 mg/sample 1 CTM 039 Total/NA
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 1 Lab Sample lD: 140-33467-5
fenaryte
L Particulate Matter
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample 1 cTM 039
Client Sample lD: 20H3 - >PM10 ACETONE RINSE - RUN 2 Lab Sample lD: 140-33467-6
I
I Analyte
I P*ti."rlrt. Mrtt r
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample 1 CTM 039
0.750
0.280
Client Sample lD: 20H3 - PM10-PM2.5 ACETONE RINSE - RUN
2
Lab Sample lD: 140-33467-7
[
-
No Detections.
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 2 Lab Sample lD: 140-33467-8
-i Analyte
I Particulate Matter
1......
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 2 Lab Sample lD: 140-33467-9
l-Analyte
Parti.\rlate tvlatterL
Result Qualifier RL MDL Dil Fac D Method Prep Type
1.33 0.0100 0.0100 mg/sample
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 2 Lab Sample lD: 140-33467-10
I Analyte
I P*t-rrrt rrrrtt*L
Client Sample lD: 20H3 - >PM10 ACETONE RINSE - RUN 3 Lab Sample lD:140-33467-11
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
Particulate Matter 0.0100 0.0100 0.0100 mg/sample 1 CTM 039 Total/NA
0.370 1 cTM 039
1 CTM 039
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
Page 7 of 35
134 of20l
Eurofins Knoxville
1Ol2l2O23 (Rev. 1)
This Detection Summary does not include radiochemical test results.
Detection Summary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample !D: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
3
Lab Sample lD: 140-33467-12
[' No Deteaions
Client Sampte lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 3 Lab Sample lD: 140-33467-13
a
I Analyte
Particulate Matter
L
0.0100 0.0100 mg/sample
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.840 1 CTM 039
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 3 Lab Sample lD: 140-33467-14
Particulate Matter
Result Oualifier RL MDL Unit Dil Fac D Method Prep Type
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 3 Lab Sample lD: 140-33467-15
fanalyte
I Partrcl,late l,/tatter
Result Qualifier RL MDL Unit Dil Fac D Method Prep Type
0.0100 0.0100 mg/sample
Eurofins Knoxville
101212023 (Rev. 1)
0.650 1 CTM 039
This Detection Summary does not include radiochemical test results
Page 8 of 35
135 of20l
Client Sample Results
Client Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: '140-334167-1
Client Sample ID: 20H3 - >PMl0 ACETONE RINSE - RUN 1
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample lD: 140-33467-1
Matrix: Air
General Chemistry
Analyte Result Qualifier D Prepared Analyzed Dil FacMDL Unlt
Partlculate Matter (EPA CTltlI 039)0.0100 0.0100 mg/sample
Eurofins Knoxville
10m2023 (Rev. 1)
L?11)&
l'ff r ;:r:!
lil,,1;4
Page 9 of 35
135 of20l
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample !D: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
1
Date Collected: 08/28/23 00:00
Date Received: 09/1223 09:30
Sample Container: Clear Glass 500mL - unpreserued
Lab Sample lD: 140-33467-2
Matrix: Air
General Chemlstry
Analyte Result Qualifier MDL Unit D Prepared Analyzed
Particulate Matter (EPA CTM 039)
Dll Fac
10.0100 0.0100 mg/sample Ogl20l23 10:23
Eurofins Knoxville
101212023 (Rev.1)
iill(irirlilii:
Page 10 of35
137 of20l
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF SinclairWoods - CTM{39
Job lD: '140-33467-1
Client Sample ID: 20H3 - <PM2.5 DIWATER RINSE - RUN 1
Date Collected: 08/28/23 00:00
Date Received: 09/1?23 09:30
Samole Container: Clear Glass 500mL - unoreserved
Lab Sample lD: 140-33467-g
Matrix: Air
General Chemistry
Analyte Result Ouallfler MDL Unit D Prepared
rercffi€mmM
trDll Fac
Particulate Matter (EPA CTM 039)0.0100 mg/sample O9l2Ol23 10:23
Eurofins Knoxville
1Ol2l2O23 (Rev.1)Page 11 of35
138 of201
Client Sample Results i1.l{.!j:*:
:$eg. gi;
-Wiin:'i:
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Glient Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 1
Date Collected: 08/28123 00:00
DaG Received: 09/1 2/23 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample lD: 140-33467-4
Matrix: Air
GeneralChemistry
Analyte
Particulate Matter (EPA CTM 039)
ffi
ffi#
tr
r":i
::'t":;::a
,lr i',:.
,li::i:{}
:t!', 1*:!i-. E.
1.78
Result Qualifier
0.0100 0.0100 mg/sample
MDL Unit D Prepared Analyzed Dil Fac
0912012310:23
Eurofins Knoxville
1Ont2O23 (Rev.1)Page '12 of 35
139 of20l
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair \A/oods - CTM-039
Job lD: 14U33/,67-1
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN I
Date Collected: 08/28123 00:00
Date Received: 09/1 223 09:30
Samole C.ontainer: Petri/Filter
Lab Sample lD: {40-33467-5
Matrix: Air
GeneralChemistry
Result Qualifier MDL Unlt D Prepared Analyzed
ost2u2310'.n
Dil Fac
Partlculate Matter (EPA CTM 039)0.750 0.0100 0.0100 mg/sample
Eurofins Knoxville
101212A23 (Rev.1)
tr
'';.i.il
{i' ,tW
#+r$f.;i *:... 3,
;$s..qt
Page 13 of35
140 of20l
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - >PMl0 ACETONE RINSE - RUN 2
Date Collected: 08/28/23 00:00
Date Received: 09/1 2/23 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample lD: {40-33467-6
Matrix: Air
General Chemistry
Particulate Matter (EPA CTM 039)0.280
Result Qualifier MDL
0-ol oo
O Prepared Analyzed
o9t20t2310'.23
Dll Fac
0.0100
Page 14 of35
141 of20l
Eurofins Knoxville
1012t2023 (Rev. 1)
Glient Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: '140-33467-1
Client Sample lD: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Sample Container: Clear Glass 500mL - unpreseryed
Lab Sample lD: 140-33467-7
Matrix: Air
GeneralChemistry
Analyte Result Ouallfler MDL Unit D Prepared
Particulate Matter (EPA CTM 039)0.0100 0.0100 mg/sample ogl20l23 10:23
Eurofins Knoxville
101212023 (Rev.1)
..rir ttll'lr
1 1g ":
i*6i,ig
Page 15 of35
142 of 201
CIient Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 14443467-1
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 2
Date Collected: 08/28123 00:00
Date Received: 09/1 223 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample lD: 140-33467-8
Matrix: Air
Partlculate Mafter (EPA CTM 039)
General Chemistry
Analyte Result Quallffer
ffi*Mffi^=g
Eurofins Knoxville
101212023 (Rev.1)
MDL
o.oloo
O P.epared
':rlti.1:.altaata
'l)lll , l!,|'ri
r' r'..rtt::
M'€ilslI
{ls , lK
*s#it,i
* Sr,1
Page 16 of35
143 of201
Client Sample Results
Client Alliance Sourc,e Testing, LLC
ProjecUSite: HF SinclairWoods - CTM-039
Job lD: 14043/,67-1
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 2
Date Collected: 08128/23 00:00
Date Received: 09/1?23 09:30
Sample Container: Clear GIass 500mL - unpreserved
Lab Sample ID: 140-33467-9
Matrix: Air
General Chemistry
Analyte
Partlculato Matter (EPA CTil 039) 1.33
Result Quallfier RL l,lDL Unit D Prepared Analyzed Dll Fac
:l'iiil,:atli:
tr0.0100 0.0100 mg/sample ogl20l23 10:23 1
Eurofins Knoxville
1Al2t2O23 (Rev. 1)
:?t;i'l,
Page 17 of35
144 of201
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33r',67-'l
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 2
Date Collected: 08/28123 00:00
Date Received: 09/12123 09:30
Sample Container: Petri/Filter
Lab Sample lD: 140-33467-10
Matrix: Air
General Chemistry
Analyte
Partlculate Matter (EPA CTM 039)
,.4 . i..i:a:a
f;ffiffi-ffiffisW
tr
,,,,,, ,,ll:.,'
.:l 'i !P!a'
,.:, 1!.,
&it,96
-' -ii-:l
Dil Fac
1
Result Qualifier
1.00
RL MDL
0.0100 0.0100 mg/sample
D Prepared Analyzed
o9120t2310'.23
Page 18 of 35
145 of20l
Eurofins Knoxville
1Ol2l2O23 (Rev.1)
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Glient Sample lD: 20H3 - >PMl0 ACETONE RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Samole Container: Clear Glass 500mL - unpreserved
Lab Sample lD: 140-33467-11
Matrix: Air
General Chemistry
Analyte Result Qualifier MDL Unlt D Prepared Analyzed Dil Fac
Partlculate Mafter (EPA CTM 039)0.0100 0.0100 mg/sample ogl2ol2310:29
Eurofins Knoxville
1012n023 (Rev.'l)
ffiem
tr
.,,,,,,,1.:
lll{iillliilliri*
. ,:-iitaj
ill!$E!!rds*f rrg;
iSLrffi
Page 19 of35
146 of201
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF SinclairWoods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
3
Date Collected: 08130/23 00:00
Date Receivedt 09112123 09:30
Sample Container: Clear Glass 500mL - unpreserued
Lab Sample lD: 140-33467-12
Matrix: Air
General Chemistry
Result Qualifter MDL Unit D Prepared Dil Fac
1Particulate Mafter (EPA CTM 039)0.0100 0.0100 mg/sample Ogl20l23 10:29
Eurofins Knoxville
101212023 (Rev. 1)
...:;
-:.. :aL:::
ryffiGs &t!
tr
x.ii,
::*,,'f'
shffi&$':a
a,'
Page 20 of 35
147 of20l
Client Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - <PM2.5 DIWATER RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09112123 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample ID: 140-33467-13
Matrix: Air
Particulate Matter (EPA CTill 039)
General Chemistry
Analyte Result Quallfier O Prepared Analyzed
o9t2u23 10'.n
Dll Fac
Eurofins Knoxville
101212023 (Rev. 1)
RL
ooloo
MDL Unit
0.0100 mg/sample
Me6ru#
W!
tr
:'l;"*.
* t-"?
Page21 of35
148 of20l
Glient Sample Results
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12!123 09:30
Sample Container: Clear Glass 500mL - unpreserved
Lab Sample !D: 140-33467-14
Matrix: Air
feenerat Chemistry
I Analyte
I Particnlato Matter (EP,Particulate Matter (EPA CTM 039)
Result Qualifier moL
0-0100
D Prepared Oll Fac
1
ffi
ffi[
tr
-Fl:l{li
t':s&r:,W; *ii.$is'r
S'ffi:
0.0'100
Page 22 of 35
149 of20l
O9l2Ot23 1A:29
Eurofins Knoxville
1Ot2t2O23 (Rev.1)
Client Sample Results
Clienl Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Glient Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Sample Container: Petri/Filter
Lab Sample lD: 140-33467-15
Matrix: Air
General Chemistry
Analyte Result Oualifier MDL Unit D Prepared Dil Fac
ffi#t
trParticulate Matter (EPA CTM 039)0.0100 0.0100 mg/sample Ogl20l23 10:23
Eurofins Knoxville
1Ol2t2O23 (Rev.1)
rl,s*qutll,'r:, g1
;t!$. r 3,
Page 23 of 35
150 of20l
Default Detection Limits
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
GeneralChemistry
MDL Unitsf-Analyte
I FaacuratelfreEer
ME}wx
ff&ilIlm
E
t$j'a
-!i.t
0.0100 mg/sample
Page 24 of 35
l5l of20l
Eurofins Knoxville
101212023 (Rev. 1)
QC Association Summary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
General Chemistry
Analysis Batch: 77958
Lab Sample lD Client Sample lD Prep Type
140-33467-1 20H3 - >PM10 ACETONE RINSE - RUN 1 TotayNA
140-33467-2
140-33467-3
140-334674
140-33467-5
1 40-33467-6
140-33467-7
140-33467-8
't40-33467-9
't40-33467-10
140-33467-11
140-33467-12
140-33467-13
't40-33467-14
140-33467-15
Method
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
cTM 039
Prep Batch
Eurofins Knoxville
101212023 (Rev. 1)
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
20H3 - PM10-PM2.5 ACETONE RINSE - RUN 1 TotaUNA
20H3 - <PM2.5 Dl WATER RINSE - RUN 1 Total/NA
2OH3 - <PM2.5 ACETONE RINSE - RUN 1 TOTAI/NA
2OH3 . <PM2.5 FILTER - 142MM - RUN 1 TotaUNA
20H3 - >PM10 ACETONE RINSE - RUN 2 Total/NA
20H3 - PM10-PM2.5 ACETONE RINSE - RUN 2 Total/NA
20H3. <PM2.5 DI WATER RINSE. RUN 2 TotaI/NA
20H3. <PM2.5 ACETONE RINSE - RUN 2 TotaI/NA
20H3 - <PM2.5 FILTER - 142MM - RUN 2 TotaUNA
20H3 - >PM10 ACETONE RINSE - RUN 3 TotayNA
20H3. PMlO-PM2.5 ACETONE RINSE. RUN 3 TOTAI/NA
20H3 - <PM2.5 Dl WATER RINSE - RUN 3 TotaUNA
20H3 - <PM2.5 ACETONE RINSE - RUN 3 Total/NA
20H3 - <PM2.5 FILTER - 142MM - RUN 3 Total/NA
Page 25 of 35
152 of 201
Lab Chronicle
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - >PM10 ACETONE RINSE - RUN 1
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-1
Matrix: Air
Batch Batch Dil lnitial Final Batch
Run Factor Amount Amount Number
Prepared
or Analyzed
Ogl2ol23 1O:23
Analyst LabPrep Type Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
EET KNX
Client Sample lD: 20H3 - PMl0-PM2.5 ACETONE RINSE - RUN
1
Date Collected: 08/28/23 00:00
Date Received: 09112123 09:30
Lab Sample lD: 140-33467-2
Matrix: Air
Prep Type
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEOUIP
Oil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
or Analyzed
Osl20l23 1O:23
Analyst Lab
1 EET KNX
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 1
Date Collected: 08/28123 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-3
Matrix: Air
Prep Type
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
orAnalyzed
Ogl2ol23 10:23
Analyst Lab
1 EET KNX
Glient Sample ID: 20H3 - <PM2.5 ACETONE RINSE - RUN 1
Date Collected: 08/28/23 00:00
Date Received: 09112123 09:30
Lab Sample lD: 140-33467-4
Matrix: Air
Prep Type
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
or Analyzed
Ogl2ol23 1O:23
Analyst Lab
1 EET KNX
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN I
Date Collected: 08/28123 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-5
Matrix: Air
Prep Type
Batch
Type
Batch
Method Run
Dil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
or Analyzed
Ogl2ol23 10:23
Analyst Lab
Analysis Cftl 039
lnstrument lD: NOEQUIP
EET KNX
Client Sample lD: 20H3 - >PMl0 ACETONE RINSE - RUN 2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-G
Matrix: Air
Prep Type
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final
Amount
Batch Prepared
Number or Analyzed Analyst Lab
09120123 10:23 SJF EET KNX1
Page 26 of 35
t53 of20l
Eurofins Knoxville
101212023 (Rev. 1)
Lab Chronicle
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample !D: 20H3 - PM10-PM2.5 ACETONE RINSE - RUN
2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-7
Matrix: Air
| ,,"o rrr"l'*Type Method
Analysis CTM 039
lnstrument lD: NOEOUIP
Dil lnitial
Factor Amount
Final Batch Prepared
Amount Number orAnalyzed
1
Analyst Lab
o9l2ol23 10:23 SJF EET KNX
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-8
Matrix: Air
tr
Prep Type
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final Batch Prepared
Amount Number or Analyzed Analyst Lab
Ogl2ol23 10:23 SJF EET KNX
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-9
Matrix: Air
Dil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
or Analyzed Analyst
Ogl2ol23 10:23 SJF EET KNX
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 2
Date Collected: 08/28/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-10
Matrix: Air
| ,,"o t o"
l'"-A
Batch Bakh
Type Method
Analysis CTM 039
lnstrument lD: NOEOUIP
Dil lnitial Final Batch
Factor Amount Amount Number
1
Prepared
or Analyzed
Ogl2ol23 1O:23
Analyst Lab
EET KNX
Client Sample lD: 20H3 - >PMl0 ACETONE RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-11
Matrix: Air
Batch Batch Dil lnitial Final Batch
Run Factor Amount Amount Number
Prepared
or Analyzed
09120123 10:29
Analyst LabPrep Type Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
EET KNX
Client Sample lD: 20H3 - PMI0-PM2.5 ACETONE RINSE - RUN
3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-12
Matrix: Air
Prep Type
1
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEOUIP
Dll lnitial
Factor Amount
Final Batch
Amount Number
Prepared
orAnalyzed
Ogl2ol23 1O:29
Analyst Lab
EET KNX
Eurofins Knoxville
1Ol2l2O23 (Rev. 1)Page 27 of 35
154 of20l
Lab Chronicle
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Client Sample lD: 20H3 - <PM2.5 Dl WATER RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/1 2/23 09:30
Lab Sample lD: f 40-33467-13
Matrix: Air
fr,"o rro"
lur*-
Batch Batch
Type Method
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final Batch
Amount Number
Prepared
or Analyzed
ognom 1t2g
Analyst Lab
1 EET KNX
Client Sample lD: 20H3 - <PM2.5 ACETONE RINSE - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-14
Matrix: Air
Prep Type
Batch Batch
Type illethod
Analysis CTM 039
lnstrument lD: NOEQUIP
Dil lnitial
Factor Amount
Final Batch Prepared
Amount Number or Analyzed Analyst
Ogl2ol23 10:29 SJF EET KNX
Client Sample lD: 20H3 - <PM2.5 FILTER - 142MM - RUN 3
Date Collected: 08/30/23 00:00
Date Received: 09/12123 09:30
Lab Sample lD: 140-33467-15
Matrix: Air
Batch Batch Dil Initial
Factor AmountType Method
Analysis CTM 039
lnstrument lD: NOEOUIP
Laboratory References:
EET KNX = Eurofins Knoxville, 5815 Middlebrook Pike, Knoxville, TN 37921, TEL (865)291-3000
Page 28 of 35
155 of20l
Analyst Lab
Ogl2ol23 10:23 SJF EET KNX
Final Batch Prepared
Amount Number orAnalyzed
1
Eurofins Knoxville
101212023 (Rev. 1)
Accreditation/Certification Sum mary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Laboratory: Eurofins Knoxville
All accreditations/certifications held by this laboratory are listed. Not all accreditations/certifications are applicable to this report
Authority Program ldentificationNumber ExpirationDate
ANAB
ANAB
ANAB
Arkansas DEQ
Colorado
Connecticut
Florida
Georgia (DW)
Hawaii
Kansas
Kentucky (DW
Louisiana (All)
Louisiana (DW)
Maryland
Michigan
Nevada
New Hampshire
New Jersey
NewYork
North Carolina (DW
North Carolina (\ A //SW
Oklahoma
Oregon
Pennsylvania
Tennessee
Texas
US Fish & Wildlife
USDA
Utah
Virginia
Washington
West Virginia (DW
West Virginia DEP
Wsconsin
AFCEE
Dept. of Defense ELAP
Dept. of Energy
lso/tEc 1702s
State
State
State
NELAP
State
State
NELAP
State
NELAP
State
State
State
State
NELAP
NELAP
NELAP
State
State
State
NELAP
NELAP
State
NELAP
US Federal Programs
US Federal Programs
NELAP
NELAP
State
State
State
State
N/A
L2311
L2311.01
L2311
88-0688
TNo0009
PH4223
E87177
906
NA
E-1 0349
901 01
83979
LAO19
277
9933
TN00009
2999
TNOOl
10741
21705
64
9415
TNl0189
68-00576
02014
T104704340-2344
058448
525-22-279-18762
TN00009
460176
c593
9955C
345
998044300
02-13-25
02-13-25
02-13-25
06-16-24
02-29-24
09-30-23
o6-30-24
07-27-25
07-27-24
10-31-23
12-31-23
06-go-24
12-31-23
03-31-24
07-27-25
07-31-24
01-17-24
07-01-24
o3-3'.t-24
07-31-24
12-31-23
't2-31-23
01-01-24
12-01-23
07-27-25
08-31-24
07-31-24
1 0-06-25
07-31-24
09-14-24
01-19-24
12-31-23
04-30-24
08-31-24
Page 29 of 35
156 of20l
Eurofins Knoxville
10t212023 (Rev. 1)
Method Summary
Client: Alliance Source Testing, LLC
ProjecUSite: HF SinclairWoods - CTM-039
Job lD: 140-33467-1
ilethod
crM o3e
Illlethod Description
Protocol References:
EPA = US Environmental Protection Agency
Laboratory References:
EET KNX = Eurofins Knoxville, 5815 Middlebrook Pike, Knoxville, TN 37921, TEL (865)291-3000
Protocol Laboratory
EPA EET K}.IX
&''&Bq
t*&11
Eurofins Knoxville l
Page 30 of 35 1Ol2l2O23 (Rev. 1)
157 of20l
Sample Summary
Client: Alliance Source Testing, LLC
ProjecUSite: HF Sinclair Woods - CTM-039
Job lD: 140-33467-1
Lab Sample lD
:Ho-33467,1
140-33467-2
140-33467-3
140-334674
140-33467-5
140-33467-6
140-33467-7
140-33467-8
140-33467-9
140-33467-10
140-33467-11
140-33467-12
140-33467-13
140-33467-14
140-33467-'.t5
Matrix
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Air
Collected
oan8l23 w.oo
oal2al23 OO:OO
OAl2Al23 OO:OO
OOl28l23 OO:OO
OBl28l23 OO:OO
OA2A|23 OO:OO
OAl28l23 OO:OO
ogl28l23 00:oo
08128123 OO:OO
08/28123 00:00
08/30/23 00:00
08/30/23 00:00
08/30/23 00:00
08/30/23 00:00
08/30/23 00:00
Received
o,tl2mot3o
09112123 09:30
09112123 09:30
09112123 09:30
09112123 09:30
O9l'12123 09:30
Ogl12l23 O9:3O
Ogl12123 09:30
Ogl12123 09:30
Ogl12123 09:30
Ogl12123 09:30
Ogl12123 09:30
09112123 O9:30
Ogl12l23 09:30
ogl'12123 09:30
Client Sample lD
2OH3 - PM1O.PM2.5 ACETONE RINSE . RUN 1
20H3. <PM2.5 DI WATER RINSE. RUN 1
20H3. <PM2.5 ACETONE RINSE - RUN 1
20H3. <PM2.5 FILTER. 142MM - RUN 1
2OH3 . >PM1 O ACETONE RINSE - RUN 2
20H3. PMlO-PM2.5 ACETONE RINSE . RUN 2
2OH3 - <PM2.5 DI WATER RINSE. RUN 2
2OH3 - <PM2.5 ACETONE RINSE - RUN 2
20H3. <PM2.5 FILTER. 142MM - RUN 2
2OH3 . >PM1 O ACETONE RINSE - RUN 3
2OH3 - PM1O.PM2.5 ACETONE RINSE - RUN 3
20H3. <PM2.5 DI WATER RINSE - RUN 3
20H3. <PM2.5 ACETONE RINSE - RUN 3
2OH3 - <PM2.5 FILTER. 142MM . RUN 3
Page 31 of35
158 of20l
Eurofins Knoxville
101212023 (Rev. 1)
tsoNflEo6EaItotar
i
Io+ot(,dzEor
IE
oz:.
)c
)))o
ll
i?i
c
f
o
P
3:
,F
.p
'
3
t
{C2(.Eqaa.qEqq,
Eo@ooCo!ots(otoos
EI
_gfieDvIECIaE
6coEEoo{oEoEo5CTotoaoEIoJotr6E@c
dz3EIIgo)I5:)tciE@ioz@(r
>
too3
cnta'
sl
9a
@=o6f
idEoof
o6ct
oo
.\\
..
.
\
rt
oEo
>coEo'1
GoEo
xI
\>ooo6ooY I
E@.>@I@
oa.ogoo5Eoo:oooY
o6co(,o
ooo
6e
l
}
n
r
3
)
)
)
)
)
!
)
(N
rl
.
l
OS
W
/
S
Y
l
u
o
l
J
a
d
(
N
/l
I
al
d
U
E
S
pa
a
t
!
:
oEoI:!o6zI0ooz!nttoo!iio-(,
IIt(!6sIE6oof-
;lHl
=
EE
€F
:Iiht,
l
'o
SL
SE
E
fE
F
tr
=1
1
ut
-l
E
Ef
l
I
;e
l
E=
l
*E
l
E3
l
;
E
€I
i
A
PI
i
;
.E
l
i
o\
'd)
of
oE@o3
id=Dol
6!oz,gEoEoorGcE=0oo
xoL=oF
o=ucoEaooE
,l,a2a)l(fz5r5l
IIIII
IEo
-
EE
E
E
e
?N
H
N
i
IEtsF
tr
t
r
t
r
t
r
iEr$
(=
i*
g
t
!\
a*-
=.oqEo')
c64Eo:t
c6oEo,)
o=oEE
EF
lr
t
f-
.
1
o-a
.
9
E6
Ec
l
o
.-
X
r
i\\'
\
o6Eo(,oo
oJU'
idooFU'oE@F@gfo(r
,oac.g
uloloaoU'oFNN=
c(h=cIc0
,toq.EoEoooo=(Lo!oN
E=doE.otroooqN=o-o=o-oo
EdocE,oo=6u?Nc-oN
cfdo-cEogooog?N=(LoIoN
cftEENoLqN=(Lo!oN
NEtoGocoooo=0-o-oN
N=toe.oooou?N=(LoLoIoN
Nc=docE@6=6oci=ooIoN
NcEoce@Eo@oqN=.L!2!oN
NcuEENo=u-qN=o-ooN
ztrIfo6E6ooEoao
\.'\
i
,i\j:
E
t-
-
>oEoEIaqE@
ioEocq=o
oE@EI=qc6
dc
o-
z^
;o60gE
rOEEgo
it
r6G
!o
iozE
:o3g
)oUO
.F
oooEtAoE'ooouE6ot
r
o=f
,
(J
E
U
oFAL
6
(E
+
-c
t
r
o
=otrEEEl
leo.bIstt
)
tud.eEa
o=
-o'r
-H
C}
s
Y
od
s#
:;
lU
y
in
6
.9
P
EC
?
b*
=E
€E
!s
6;
iP
TE
€€
-
'1
0
1
2
1
2
0
2
3
(R
e
v
.
1)
Pa
g
e
3
2
o
f
3
5
FIN!o6!jI{;otr$io?=(,
(.
,o2Eor
IE
Eo(,otrrE
6
ot
r
o=EoE
rh
Li
oL
6
(u
t
st
r
o 8l
E
i
.E
I
i
*
PI
E
!
$l
l
E=otroEa
g3
=q>!
a5s
Y
5e
BE
FO
(E
v
d6
.9
P
HC
E+
=E
EE
E.
H
-o
i
EE
PE
CT
3E
6=SE
6X
T,oEs-9oEo@tooEooo=(L
ll
J=6=q)o6@o-r@o=o-UJ
!@I6EoggE6o6@
,N
i
d
d
-FF
tr
t
r
D
t
r
'-93s
-
.
-
Eg
g
s
10
t
2
t
2
0
2
3
(R
e
v
.
1)
Pa
g
e
33
of
3
5
oo!o
FoctrU
I:
Fi(-la-ttt:e
Lo=-tolc
6=89
.!
oxc0
ooL2o.ooo.
e.
l
\ooe'
l&\oc.
loo;NNs]g€o
Io.
E
'5
..
d<P
\o
i
l
x9oo
.
H
AD
'
:i
I
>o
I
;E
.
s
.
.
a=
!
e
4
62
4
Z
EE
*
E
o-
J
t
<
od!
oF
6.E0o0o6oz
oL0ooUtr
56o-:
eootr
3<
>z
EE
a
EOoE
I3
v
t
ae
a
.s
>
.
o
F5
F
q9
,
l
q
eo
v
o.
E
o
v5
v
3
EU
E
I
(
ooleo€oOtl
oo=;\EO
?:o.
.
'=
e
EE
vEEU
IAy
o
oo
-
Zr
ooAE
E
*
r-
'
a
E;
o
.,
,
3
2
"s
E
Z
(J
O
(
J
oo
o
(J
U
U
bo
o
rEa2
o
r
\
e6
q€
)o.
r
u)
a)
EE
o(.
)oFoGoZr
vEEU
UUoo-lozoaE
oo(,oUE
QoQocozUoUE]
ooeoLo()UE
e)oooUUtr
oooFEIotr
o=9s!
FPa?
,
dg
;"
i
=E
o
2x
i
\o
o
-!
o
E9
t
r
ooaq(Eqotr
l
!oogE
Ecgo!oE
-oolEoaoAE
z
\
\
\
)
\
z
\
\
\
\
\
\
\
\
\
\
)
\
\
Eccq
Looooboaoo;'
ro6Eo.toooodoosE6gc)
c.
r
ooA6oo()oooooo
c'
:
E?
i
t-
E
r;
.
E
P.=
^
_O=9BF
I
I
$,
P
sI
J
=:
/
Hr
l
E3
f
i
e
Ft
..
t
'
.
t
sg
o
b
*g
E
E
8}
E
E
oH
b'
i
€:
F
8
s
Fq
=
+g
H
(
J
ooNootE
oooooLo6oooE6ocoor;
ooooo.,q(,ooooo.ootE;
(JC)odEqo,o6O^
.=
oEE
OF
()
-
o3
o.
E
EO
6^oO
HJ
c-
rooooUOoooaGq)
(Ho?ooq;
G.ooooooo6ooEo6.olDoi
c-
.C)o(JooooLooo(g=c;
G.ooltoE6oovo6ooo
roo6ooL.oEooo6ooIe.
i
EooaE6oox6C)
'oq)Et-o(!oooo
U)Eoo(JUB+
qOIBooooo6goB
6.9@ooooor
.
t9'891
4
'd
x0
-(
)
"o
36
E5
tr
vE9
9;
o>
ts
b
'd
g
FooI.Edo-oooooEE6oot-
r6oo{)ooo5
ar
a
9:
.o
€
o
H
€.
I
y
\o
.i
i
o
.
!
E6
*
oA
s
=-
o
o€
g
>r
H
'
i
o
^i
9
i5
g6
qt
6.o\ooo6o6i@c7
)ohoi
boIjaooo6(so6E6hc;
c.
l
oGoaoooo&oo.
6U)
N
3r
o
-5
f
ii
co
-3
<'
l
;,
:ozo0Jt-a.iUtr
lUI2zFaf-
IUri&zoF"zFzUFrr
l
(J
li
lFl2rnFI
rl
IXozQ&tr
l2.FariazE.o
10
1
2
1
2
0
2
3
(R
e
v
.
1)
Pa
g
e
3
4
o
f
3
5
Client: Alliance Source Testing, LLC
Login Number:33467
List Number: I
Creator: Dameron, Bryan K
Question
Login Sample Receipt Checklist
Answer Comment
Job Number: 1 40-33467 -'l
List Source: Eurofins Knoxville
Radioactivity wasn't checked or is </= background as measured by a survey
meter.
The cooler's custody seal, if present, is intact.
Sample custody seals, if present, are intact.
The cooler or samples do not appear to have been compromised or
tampered with.
Samples were received on ice.
Cooler Temperature is acceptable.
Cooler Temperature is recorded.
COC is present.
COC is filled out in ink and legible.
COC is filled out with all pertinent information.
ls the Field Sampler's name present on COC?
There are no discrepancies between the containers received and the COC.
Samples are received within Holding Time (excluding tests with immediate
HTS)
Sample containers have legible labels.
Containers are not broken or leaking.
Sample collection date/times are provided.
Appropriate sample containers are used.
Sample bottles are completely filled.
Sample Preservation Verifi ed.
There is sufficient vol. for all requested analyses, incl. any requested
MS/MSDs
Containers requiring zero headspace have no headspace or bubble is
<6mm ('ll4").
Muftiphasic samples are not present.
Samples do not require splitting or compositing.
Residual Chlorine Checked.
Page 35 of 35
162. of 201
g
Eurofins Knoxville
101212023 (Rev. 1)
153 of20l
AIl6rpe
TECI..INI(]AL flfiffUII
Irotio! EF Sinchir woods Cross Refining, LLC - Wcst Bouoaiful' UT
QA/QC Data
Sourcc Procctt Hcrtcr 20H3
Projcct No. AST-2023-r660
P.rrmeter PM (CTM-039)
Irrtc Nozzle ID
Nozlc Diamctcr (in.)
#1 #2 #3 Dn (Avcrrse) Dilference Criteria
8t25123 N20lA-10 0 370 0.370 0.370 0.370 0 000 S 0.004 in.
Dete Pitot ID lrvadctrcc ol Evidcncc of LtuDrf,non or
Drnoir Barrird,
al25l23 P-761 no no no
Drte Probe ID Rclbrcncc Itrdicrtcd Difierctrce Criteria
8125123 P-761 790 79.2 o.oyo I 5 % (abrclute)
Drte Barometric Pt6surc Evidcncc of Rcrding Vcrilied Lt[Drauon or
Danoir rcarirad,
8D5t23 Weather Station NA NA NA
164 of20l
Alm]rce
TECHNICAL GROIJP
QA Data
Location HF Sinclair W
Project No. AST-2023-1660
Prrameter(s) Moisture
Field Balance Check
Date 08t2st23
Balance ID:5A288r026
Iest Weight ID:SLC-IKG
Certified Weight (g):1000.0
Measured Weight (g):999.9
Weight Difference (g):0.1
Date Barometric
Pressure
Evidence of Reading
Verified
Calibration or
Renair reouired?Weather Station Location
8/25t23 Weather Station NA NA NA West Bountiful, UT
Dete Meter Box ID Positive Pressure Leak Check
8/25/23 MB-704 Pass
165 of20l
DGM Calibration-Orifi ces
DGument lt 620004
Revisior B.A
Effective Dai 1/25/21
lssuing Departmenl Ish Seruices Paqt 1of 1
Equipment Detail - Dry Gas Meter
Console lD: tvl8-704
tvleter S/N: 18392989
Critical Orifice S/N: 1330
Calibration Detail
nitial Barometric Pressure, in. Hg (Pbi
:inal Barometric Pressure, in. Hg (Pbr)
\veraoe Barometric Pressure, in. Ho (Pb)
25.45
25.48
25.47
Critifcal Orifice lD (Y)
K' Factor, ft3 R'/2 / in. wc.min (K)
Vacuum Pressure, in. Hg (Vp)
lnitial DGM Volume, ft3 (vmr)
Final DGM Volume, ft3 (VmF)
Total DGM Volume. ft3 (Vm)
1330-31
0.8429
13.0
753.100
769.643
16.543
1330-31 1330-25
0 6728
15.0
782 800
796.038
13.238
1330-25 1330{9
0.5186
16.0
806.000
816.437
10.437
1330-19
0.8429 0.673 0 519
13.0
769.643
780.710
11.067
15.0
796.038
804.888
8 850
16.0
816 783
823.493
6.710
Ambient Temperature, 'F (Ta)
Initial DGM Temperature,'F (Im)
Final DGM Temperature, "F Omr)
Averaqe DGM Temperature,'F (Tm)
72
73
74
74
72
74
75
75
73
74
l4
74
73
74
75
a<
74
75
75
75
75
75
75
1t
Elapsed Time (O)
Meter Orifice Pressure, in. WC (AH)
Standard Meter volume, ft3 (Vmstd)
Standard Critical Orifice Volume, ft3 (vcr)
Meter Correction Factor (Y)
Tolerance
Orifice Calibration Value (AH @)
Tolerance
Orifice Cal Chec<
15.00
3.40
14.0740
13.9631
0.992
0.000
1.878
0 018
10.00
3.40
9.3976
9.3087
0 991
0.001
1.874
0.014
15.00
2.10
11.2099
11.1348
0.993
0.001
1.815
0.0M
10 00
2.10
7.4871
7.4232
0.991
0.000
1.814
0.046
15 00
1.30
8.8012
8.5148
0.974
0 018
'1.887
0 027
10.00
1.30
5 6584
5.7112
'1.009
0.017
1.891
0.031
0.'11 011 0.06
Meter Correction Factor m 0.992
Orifice Calibration Value (AH @)1.860
Positive Pressure Leak Check Yes
Eouioment Detail - Thermocouole Sensor
Reference Calibrator Make: OMEGA
Reference Calibrator Model: CL23A
Reference Calibrator S/N: I -197207
Calibration Detail
Reference Temp.Display Temp Accuracy Difference
OF oR r Vo OF
0
68
100
460
528
560
0
66
98
460
526
558
0.0
04
04
0
2
2
223
248
273
683
708
733
223
248
274
683
708
734
0.0
0.0
-0.1
0
0
1
300
400
500
600
700
800
900
1,000
1,100
r.200
760
860
960
1,060
1,160
1,260
1,360
1,460
1,560
'l 660
300
399
498
600
702
801
901
1,002
1,102
1 )Ct)
760
859
958
1,060
1,162
1,261
1,361
1,462
1,562
1,662
0.0
0.1
0.2
00
-0.2
-0.1
-0.1
-0.1
-0.1
-0.'1
0
1
2
0
2
1
1
2
2
2
Personnel
6/20/2023
166 of 20 I
Calibration By:
Calibration Date.
Reviewed By:
RYAN LYONS
plltffirrce
TECHNICAL GAOUP
Location HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
QA Data
Source Process Heater 20H3
Project No. AST-2023-1660
Parameter O, - Outlet COz - Outlet
Make SERVOMEX SERVOMEX
Model t440 1440
S/N 1240013279 14150/3279
l)nerafinq Renqe 0-2s 0-25
Cylinder ID
Znro
Low
Mid
Hieh
NA
NA
E80078899
SGI64824BAL
NA
NA
EB0078899
SGI64824BAL
Cylinder Certifed Values
7.c.ro
Low
Mid
Hieh
NA
NA
10.95
24.58
NA
NA
10.7 4
23.78
Cylinder Expiration Date
7*ro
Low
Mid
Hish
NA
NA
7n3/29
2n3t3t
NA
NA
7n3/29
2lt313t
167 of2ol
Rlt6]rce
YE e H \ lcA L o n:":";"",
HF SinclairwoodscrossRefining,LLC -westBountitul,UT
Response Times
Source: Process Heater 20H3
Project No.: AST-2023-1660
seconds
Parameter Or - Outlet COr - Outlet
Zero
Low
Mid
Hish
30
NA
30
30
30
NA
30
30
Averase 30.0 30.0
168 of20l
RllmrpeTt*!-{\*reAL {}FC)UF'Calibration Data
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Datez 8125123
Parameter Oz - Outlet COz - Outlet
Expected Average Concentration 8.00 8.00
Span Between
Low
High
Desired Span
8.00
40.00
24.s8
8.00
40.00
23.78
Low Range Gas
Low
Hish
NA
NA
NA
NA
Mid Range Gas
Low
Hish
9.83
14.75
9.51
14.27
High Range Gas
Low
Hioh
NA
NA
NA
NA
Actual Concentration (% or ppm)
Zero
Low
Mid
Hish
0.00
NA
10.95
24.58
0.00
NA
10.74
23.78
Resoonse Time (seconds)30.00 30.00
Upscale Calibration Gas (Cy,a)Mid Mid
Instrument Response (% or ppm)
Zero
Low
Mid
Hieh
0.09
NA
I1.06
24.64
0.03
NA
10.83
23.69
Performance (7o of Span or Cal. Gas Conc.)
Zero
Low
Mid
Hish
0.37
NA
0.45
0.24
0.r3
NA
0.38
0.38
Performance Criteria
Zero
Low
Mid
Hish
2.00
NA
2.00
2.00
2.00
NA
2.00
2.00
Status
Zero
Low
Mid
Hish
PASS
NA
PASS
PASS
PASS
NA
PASS
PASS
169 of20l
Alffi]EeTEC'-{\]CAL GNOUP Calibration Data
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date:8/28123
Parameter O, - Outlet COz - Outlet
Expected Average Concentration 7.56 7.46
Span Between
Low
High
Desired Span
7.56
37.79
24.s8
7.46
37.29
23.78
Low Range Gas
Low
Hish
NA
NA
NA
NA
Mid Range Gas
Low
Hioh
9.83
14.75
9.51
t4.27
High Range Gas
Low
Hioh
NA
NA
NA
NA
Actual Concentration (% or ppm)
Zero
Low
Mid
Hish
0.00
NA
10.95
24.58
0.00
NA
10.74
23.78
Uoscale Calibration Gas (C Mid Mid
Instrument Response (% or ppm)
Zero
Low
Mid
Hieh
0.02
NA
10.90
24.48
0.02
NA
t0.97
23.89
Performance (% of Span or Cal. Gas Conc.)
Zero
Low
Mid
Hish
0.08
NA
0.20
0.41
0.08
NA
0.97
0.46
Status
Zero
Low
Mid
Hish
PASS
NA
PASS
PASS
PASS
NA
PASS
PASS
170 of 20 I
aIlmrrceTEfiH\,CAL $H()UP Calibration Data
Location: HF Sinclair Woods Cross Refining, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Date:8129123
Parameter Oz - Outlet COr - Outlet
Exoected Averase Concentration 7.56 7.46
Span Between
Low
High
Desired Span
7.56
37.79
24.58
7.46
37.29
23.78
Low Range Gas
Low
Hish
NA
NA
NA
NA
Mid Range Gas
Low
Hish
9.83
14.75
9.51
t4.27
High Range Gas
Low
Hioh
NA
NA
NA
NA
Actual Concentration (% or ppm)
Zero
Low
Mid
Hish
0.00
NA
10.95
24.58
0.00
NA
10.74
23.78
Upscale Calibration Gas (C.n)Mid Mid
Instrument Response (% or ppm)
Zero
Low
Mid
Hieh
0.04
NA
10.83
24.32
0.02
NA
10.74
23.36
Performance (7o of Span or Cal. Gas Conc.)
Zero
Low
Mid
Hish
0.16
NA
0.49
1.06
0.08
NA
0.00
t.77
Status
Zero
Low
Mid
Hish
PASS
NA
PASS
PASS
PASS
NA
PASS
PASS
17l of2Ol
dAIhrrce
TT.CHNI*AL GROI-,'l,
Bias/Drift Determinations
Lo."tiont
Source: Process Heater 20H3
Project No.: AST-2023-1660
Parameter Oz - Outlet COr - Outlet
Run 1 Date 8nsn3
ipan Value
.nitial Instrument Zero Cal Response
.nitial Instrument Upscale Cal Response
lretest System Zero Response
losttest System Zero Response
lretest System Upscale Response
hsffest Swcfem I In<cale Resnonse
24.6
0.1
ll.l
0.1
0.1
I1.0
10.9
23.8
0.0
108
0.1
0.1
10.8
10.'t
Bias (%)
Pretest Zero
Posttest Zero
Pretest Span
Posttest Span
0.1
-0.1
-0.4
-0.7
0.t
0.2
-0.3
-0.4
Drift(%)
Zero
Mid
-02
-0.3
0.1
-0.1
Run 2 Date 8D8-429n3
Span Value
Instrument Zero Cal Response
Instrument Upscale Ca[ Response
Pretest System Zero Response
Posttest System Zero Response
Pretest System Upscale Response
Posttest Svstem Uoscale Resoonse
246
0.0
10.9
0.0
0.0
r0.9
10.9
23.8
0.0
l l.0
0l
0.1
10.9
108
Bias (%)
Pretest Zero
Posttest Zero
Pretest Span
Posttest SDan
0.0
0.0
-0.1
-0.2
0.2
0.3
-04
-0.8
Drift(%)
Zero
Mid
0.0
-0.1
0.1
-0.4
Run 3 Date 8129-8/30123
Span Value
lnstrument Zero Cal Response
lnstrument Upscale Cal Response
Pretest System Zero Response
Posttest System Zero Response
Pretest System Upscale Response
Pnstfesf Svstem I Inscale Resnonse
246
0.0
10.8
0l
0.0
10.8
10.9
23.8
0.0
10.7
0.1
0.1
10.7
10.7
Sias (%)
)retest Zero
)osttest Zero
)retest Span
)osttest Snan
0.t
0.0
-0.2
0.1
0.2
0.1
-0.3
-0.3
)rift (%)
Lero
vlid
-0.1
0.2
00
00
172 of 201
Airga$
a,l ArLiquicr6 company
AftEEs Speciafv C,ases
AirgasUSALtC
545 North Indrxtrial Laop Road
Tooele, UT&o7+
Airgas.com
CERTIFICATE OF AIYALYSIS
Grade of Product EPA PROTOCOL STANDARD
Part Number:
Cylinder Number:
Laboratory:
PGVP Number:
Gas Code:
E03N152E15A38Q7
SGg164824BAL
'124 - Tooele (SAP) - UT
872023
C02,02.BALN
Reference Numbec'153-402661 010-1
CylinderVolume: 164.0CF
Cylinder Pressure: 2015 PSIG
Valve OuUel 296
Certification Date: Feb 13, 2023
Use I nE 9ylnder below 10O Nlq, i.e. 0.
ANALYTICALREST]LTS
Component Requar&d
Goncentration
Actual
Concentration
Protocol Total RelativeMethod Uncertainty
Assay
Dates
CARBON DIOXIOE
OXYGEN
NITROGEN
24.OO'lc
21.A0 %
Balance
?3.78%
24.58%
G2
G2
+/- 0.8% NIST Traceable
+A 0.6% NIST Traceabie
0211312023
0!1312023
CALIBRATION STANDARDS
Type LotlD CylinderNo Concentradon Uncertainty Expkadon Date
NTRM
NTRM
13060802
09061434
@4r53S7
@282492
2,I.fi % CARBON DIOXIDSNITROGEN
22.53 E6 OXYGENNTROGEN
o.6%
0.40h
Dec11.2025
Mav 13.2025
lnstumentlMakelModel
A}IALYTICAI EQUIPMENT
Analytical Principle l-ast Muhipoint Calibralion
Hodba MA-510 SV4MEUTJ @2
Horiba MPA-s,0 ri,603MM58 02
CO2 NDIR (Dixon)
O2 Paramagnelic (Mason)
Feb Gl,2023
Feb 09,2023
Triad Data Available Upon Request
173 of 201
Page t of 'l
:80078899
25371
9OO PSIG
.2021062&0
Certification Data:
Expiratlon OaE:
MFG Facltity:
Lot Numbsr:
Tracking Number:
Previous Cerilfication Dates:
Red Ball Technical Gas Service
555 Graig Kennedy lffay
ShrevepoG LA 71107
800-551{150
PGVP vendor iD # Gr2021
vh5n021
fln3nazs
Sh6vaMrl - I A
t8/.nog76
l#PJI,Adkd&
Accreditstion #6454
Cylinder Number:
Product lD Number:
Cylinder Pressure:
coA#
Customer PO. NO.:
Customer:
EPA PROTOCOL GAS CERTIFICATE OF ANALYSIS
This calibration standard has been certified per fle May 201 2 EPA u531,
1.
Concentration Uncartalnty Anatytical Prlnciple Assayed On
Data Available online.
11629€@25 06/3012021
1152980025 06t217@.1
SM,ARTCERT
This is b cedry he gases referenced have been calibratedbsted, and vetified to meet he defined spedfica0ons. This
calibratton/test was performed using Gases or Scales tiat are traceabb fi'ough Nalional hslitute of Siandards and
Tec*lnotogy (NtsT) b t'le lntemauonal system of units (sD. The basis of comdiance siaEd is a compatison of the
meanurcment paftrmeteG to $e spedfied or required calibrationtesting process. The clQanded uncertainties use a ooverage
tacdor of k=2 t' approximaie the 95% confidence level of the measuremer( unless otheru,ise nobd. Th'ls calibration oedificate
apdies onty b the iterrdesdibed and shall not be reproduced other $an in full, without written approval frotn Red Ball
Technical Gas Services" li not iilduded, the uncertainty of celibratioN are availabb upon request and were Eken itrto eccouttt
when determining Pass orfail.
ry-
Anthony CYr
Assistart Operations iianager
A&saylaboratorlf Red BallTGS
Ve6im 02J. Revised n 201&0+17
174 of20l
nllffirrce
TECF.I \}CAL GROUP
Location: HF Sinclair Woods Cross Refinins, LLC - West Bountiful, UT
Source: Process Heater 20H3
Project No.: AST-2023-1660
Datez 812512023
Traverse Point Time o2
(o/ol
Coz
lo/^\
A-I
2
3
8: l2
8: l3
8: l4
7.t5
7.ll
7.14
7.74
7.75
7.73
Averase 7.r3 7.74
Criteria Met Sinsle Point Sinele Point
175 of201
't0.3.2 The temperature data recorded in the field shall be considered valid. lf, during calibration, the absolute
temperature measured with the sensor being calibrated and the reference sensor agree within 1.5 percent, the
temperature data taken in the field shall be considered valid. Otherwise, the pollutant emission test shall either be
considered invalid or adjustments (if appropriate) of the test results shall be made, subject to the approval of the
Administrator.
Date Sensor ID Reference
Tem n lor')
Indicated
Temn. (of,')Difference Criteria
3/1U20
3nt/20
3nv20
3/1U20
3trt/20
3fi1/20
3nv20
3/1y20
3/1v20
Stack
Probe
Sample Venturi
Oven
Exhaust
Mix I
Dil I
Dilution Venturi
Dilution Aux
1000.0
250.0
250.0
300.0
30.0
70.0
50.0
30.0
68.0
1001.0
251.7
251.2
301.8
30.9
70.5
54.8
30.6
68.6
0.lo/o
0.2%
0.2%
0.z%o
0.2o/o
0.lo/o
0.9Yo
0.lYo
0.r%
L 1.5 Yo (absolute)
2l?fsfl\b
you may use the manufacture/s recommended procedure for calibrating the RH sensors. Verify
the dilution air and mixed gas RH sensor calibrations within three months of each test by
attaching the two sensors to each other and drawing ambient air with approximately 50 to 70
percent relative humidity simultaneously through both sensors. Because the difference between
the two RH sensors is very important in calculating stack gas moisture concentration using this
method, the two RH sensors
must agree within 2.8 percent of reading when monitoring the same gas stream.
Date Console ID Dilution Air
RH (%)
Mixed Air
RH (%)Difference Criteria
3lrv20 FPM-C-5017 64.2 6l.l 0.6%
r.2.80h
(absolute)
2lysf12\
Dilution Venturi
lnstrument Range 10
Reference lnstrumen
Absolute
Difference
Percent
Difference
10.00
9.00
7.00
5.00
3.00
1.50
0.00
9.88
9.01
7.08
5.01
3.02
1.59
0.14
0.125
0.009
0.082
0.005
0.017
0.087
0.143
1.3
0.1
0.8
0.0
0.2
0.9
1.4
Average o.67
Venturi
lnstrument Ranse 5
Reference lnstru ment
Absolute
Difference
Percent
Difference
5.00
4.00
3.00
2.00
1.00
0.00
4.90
3.93
2.92
1.94
0.93
o_lo
0.098
0.073
0.076
0.062
0.07
0
2.O
1.5
1,5
L.2
L.4
0.0
Average L.26
Pitot
lnstrument Rang€5
Reference lnstru ment
Absolute
Difference
Percent
Difference
5.00
4.00
3.00
2.00
1.00
0.00
4.95
3.95
2.95
1.95
0.95
0.02
0.055
0.047
0.051
0.052
0.0s1
0'o:2
t.L
0.94
t.o2
L.O4
L.O2
0.44
Average 0.93
2lrsfrgb
otsqN.qo
oqooqoYooEo
YE.9oooE
Ete'tIE-.doGU zE.€o@od
oNoNFo{lNss
Io
-
I<vilx.
..
t
-l+.
t
-t
I
{l
L
.I,tEI
ol
il t-l*
*l
I
a-
-
.!Inr:JqqNs
qcITe?@,eE!
.?I
qqqol
I.i
EcqoqqF*o.qa.!
q\nooqNF.?r:Ns
:@.F@.s IoE
qqc?cioq
c?cintsoc,qo\s
act
tsIoEosoi
qciqq.lci
oqso \
3ci4I\c;
Nso q
qci
r:|:Iciqqcisoi
olFgIoiqc;
zl
T
s
f
l
\
\
qFoq9qq\ciolF
FFF\Ici
tstsqts@.
c;
tss
qtsci
IqnoF
qqFciccnq
E
E
Ye
oq
a
EF
Itai
it
.e
€
e
-!
E
"E
9
-t
-
t
?
^t
-
lFl
r
l
je
ll
s
nl
F
F
,.
E
i'
c
0
:
s5
3
e
9d
!
E
ci*
Ei
;
3
f
e
Sd
!
.
5
-l
-
l
!^
tl
r
l
!
EE
'!
'
!
!^
dd
EE
E
=
5s
tro
:E
A
'.
t
=S
o
-l
-
l
sE
BI
s
I
It
I
I
!.
e
lni
E
Ea
F
F
Ef>EoE
EE
zz=o
E:I=6F;E=cgn
:!o8
'E
.
>_
i
-e
=EB
,l
=
l
,
l
.i
d
.
q
ii
i
i
;
EE
E
E6
oNoF
loC'
ro
t-
(f
)
IFoIzotrtm=oE,
lFztuuJJ(LU)=(LLL
:'
a
oi
>fa.
E
Ev
'i
^
r=29
_
o-
r
E
>c
c
F
d
g
:-
-
--
-
!
El
*
l
u
l
E
,
n
j
"r
J
*
uacr!oEoU)rgg.
vt
tdEtoetIEqNozE.€o2oouiFo9E9'tU
oiFUE.ic;ooo\o;UFtsd\
cici<ioU@N;
F@U.iciciciol
tsUI@Fcaq
FnFEUEeiooFC;ciooluciC?
olc;Eciq EoqUEo!qUoEci
@.
Eo\FUqqciEcic,
.!IFoolu..
!ciNoq
EoGiUEciolc;EoqonIucicici
ci\.lUolociciF.?oiUaicioF
ci
.ioUErio)oocideo;u8.iq
oUriqciqor:o!Uci
Ic;
otsqFUEolciqolu.iocio
ci
c?FUciqciciqr:uo
ool
tsUEqciodtsqFoqUsci
.!
cictoquol\FolUI8.io
\UEolc;ciFc;CiqolU.!8ciFc,
NUEolocioo3oc?u98oN
oci
tsqooEoi
tsci
2l
y
8
f
z
g
b
ctsc;oc;
oq ctuqc
51
4
;l
<ot
5
.9
I
EI
rl
Eel
E
.E
le
EI
;
EI5l
oa
oaeoTo
ol
o
al
a
:l
;
-t
-E!
=I
Hl
6
ol
E
lotdIU
la
o:Ez
o=
O
}E
E
gc
9i
-
.E
8
*
.
.
8
5g
=
5
Ef
i
g
'5
8
[
--
1
c
6E
i
E
E
E.
E
E+
E
ES
g,o
'f
f
E
e
+E
$
E
E
6!e-
E
-
"T
E
E
h.
E
-r
'
a
oo
€
EE
o
Etc
.-
;
E
f
*
EE
.
s
eci-
a
!!
E
-!
6
=
ol
E
E-
9
tE
r3
A
24
u$
!
s
EE
€
6
x
Ee
eE
a
b
i
"$
o
€
p
e
5
a
:-
t
s
d
SE
E
?
i
.c
aa
,
ccooced
IY
Et
!+t
d
;i
;
_l
^
;t
oot
i
tr
1
3
lv
EA€.i.sE
==oleo.9=!E=
sciaoos
$l
*
-l
a
ii16
ao>i
,E
E
f-
(f
)
IFoIzotrtrm=oE.
fFztutuJ(L=U)=(L
lL
6luEoEoL>cll
l
ooo
l_9=
c?
+U@UI
ci
ol
u;UFq
(.
)
o
o
o
o
qog
cioF
qoIF
ciu6
F2EgsIaoo
F
(.
!
tsq
riF
UI
;oI,E
cI
goI
GI
Yo
GY
EI
D4.9
so(ad)E'
)oo-EooiEofoCIcot=66@I(oro(t
)C"
o){oNt-NozE(5€=o!,6.c
t
foilooF.osiooCLo.
:,o6coEco'5c[!
oc;oo(
u
cl
Ldz
I(l
,
-c
tE
gz
96
co
o
cOJG,
goooro
elo:P'
€:G,
I!r
,
(,IIo:oEFslT'
(-
)
I
ozLOJ
-oE=Z4
|,
r
n
t,
cn
EU
l
CF
T
>^
7e;
lt
l
,-
8E
;>c(
u
(u
=
()
c
E6UV
t
o(Jobo
L(E()
.2o
oo
o
o
o
o
o
o
o
60
0
0
0
0
0
0
0
C,
o
o
r
.
o
s
t
N
O
0
o
!
e
S
eq
q
o
-
r
o
)
o
l
o
q
e
o
q
HO
O
O
O
O
O
O
O
pf
,
-
tu
a
l
r
!
#
a
o
f
,
at
J
e
q
l
s
t
o
21
r
y
8
f
1
9
b
iiosd,o)
(E
(L
H
Eooiacl
foco'tco;=(o(o(l
)o)@|r
)o)
(no)
IoFF-
(\
tozdo€fo!,.:
t0
ll-=od@oF-Cioo.>CLCL=o6Eo)Eco'tEUJ
o(uzo.c
IE:,zIocq,
d.F&,dVI
u'
!aq)
L=o-c
tEJZe
.r
t
,9
E*
E
o6
r
i
€
=3
s
&,
q
EE
T
d:
rn
i
?3E
E
^)
E
Po
E
Y=
EY
-E
l
.E
.
q
?
iE
oo(JoEG'
.Ct)
.2o
ooela
oo<toc;
oo
o
o
o
oo
o
o
o
+N
O
A
(
D
or
o
l
o
)
6
@
ci
d
c
t
d
c
i
oo
o
oo
o
oc
o
1
r
)
oo
!
o
1
'j
c
i
c
;
pf
,
-
lu
a
p
u
+
a
o
3
at
r
e
q
r
s
;
6
il
v
s
f
l
\
b
t,c
@oqo@q6Y"9o0d
@o-oN{oloYooo
EI>e',tEFoz€o266dd<io>oeU
El
,
{\s\\EN
t-
lq
.
l<
,
?vIX,r
,
lt
*
ls
l
tt
\
->
.i
-_
'
l
-l
o-
'
I
F-
.t-t
cl
fi>.
8lel=l
.i
l"lRI:I!Tri\Fq
o!qc!q
oYF..
!3qs
(.
!FYtsq.IeNsa-
!
qq6iFJd@.:nI
\c;c?q6,qciqsF ;
o.lIqs:q
q6iqEs
ciqI.!9Fris
onoe6isF
o\q.lqqIq
oq\NFcis
Fqqcsq
qc?
tsqqqEes
:oq1tsC;
.!qq;sc
.!rinqcic,sos\q
21
1
3
3
f
1
9
b
qq(.
!
rfq(.
{cFcici
qqq.!e\qqc;sF
oq\Fqqaci^iNooqI
Enaq3ci
qaoeso_\
E
Ye
c.EI
tE
7,
E
5
JB
-=
o
lr
l
-
-
2P
-l
l
-
l
e
l
g
E
ec
.
r$
;l
i
;
|
;
i
;t
;
t
EE
i
s
i
i
i;
i
g
g^
.
Et
s
si
aE9^
;F
C
=E
E
E
*E
b
.
-t
o
E
{[
!
!
9
^
d
d
3
g!
cE
g
tr
Eo
-
ot
.E
L-
()
E
I
LL
tl
;h
l
*;
3
I
I
>E
[[4
4
i
.
5
a
r
-
-
F
F
EOoi
>r
tr
.
9
,lEl
;
IE
i
l$
ul
ft
i
f,
i
=Feo6i
r
rE
.s
E
*l
-
l
:I
J
u!
!=E
E
ot
,oz
z
c-
-
i:
'
5&=
.
oNo(
f.
-
(f
)
IFoIzotrE.
co=otr
fFztUzoFlJo(LLL
'l
'
l
u
l
@!ttlo
EqOI
>co=
!
!i
.
i
,9
i5
i
5
i
3t
t
.
.E
!tE@
'E
a
,E
N
gP
-
-^6
^9
-E
EEl
Sl
r
l
[[
ntr
E
;i28
!cao>-
E
EO:i-
Id*-'o6
dEoetqIoz€o2ooui
ts9oo;oE.eU
clUtsc;qUqqoE
IUq8qUooq3
ciuFJci
I@.UEci
Ioi
c?Uri8cioci
Ntsc,6
Fc;oo UqU;e c!3
udqoc,qriUNci\
ts\tsUEdqcidqqol
!Uciq
8oqUdqqc;qU<i
.1
Ici3UEqIo(.
!Iu
oqU@.qFc;qc!ri
ciUEq8cieq\Uclq
ciEUEri8o.quo
c;ciuciq6c;ooqU.l
ciUFJqcioiqUFJo
tsur;q8cioUrio.i
FqFUEqc;ci8cirioE.l
2L
Y
3
f
1
\
\
tsFUq8c;d9U<i\
Fts..
tFUEoa.ci
.iolU.ici
ciUriqIo9ol@.q!
oF\;UEriq8oIqo;ol3UEc;
UFJq8o9!qu:c.i
t5
El
8
o
l<
.9
t
L
El
e
al
g
91
9
9l
E
=l
EI>t
oo
ooEo
EI
E
<l
<
:EUI
E
ta
lu!U
o:
!
Ez!o
s6
€
gc
.8
3
*
q
5g
=
H
.e
bg
=F
E
i
5E
E
--
!
.
.s
9
6
8
.:
gE
E
";
E.
E
E+
€
E3
E,o
'E
E
C
._
=
^
+:
e
=
-
ee
g
E
a!e.
E
A
'
ci
=
S
6
i
a
E.
E os-.
9
oo
E
Et
ff
i
f
f
i
.EE>=
!-
6
9
1
*e
.
E
.
g
Eo!-
9
f
!
E
-!
d=
E
}E
@
.!
l
EZ
u3
'
i
o
EE
g
S
p
ts
a
x
-N
d
I
E
3o
i
Og
E
E
f
eE
e
e
Ea
.
E
>N
+
EC
6
€
)
:
o9
t
r
c
l
&
_a
i
coo+cEd
E3f,c?E
.l
l
_E
l
i
3I
E
IE
:t
-
t
-
;l
s
l
n
:l
"
l
=
5t
E
t
6
--
l
el
z
jt
:
t
g
lE
lE
lr
1
-
q
I'
l
=
seoo
oNoNa-;o.9Eeo
@ttrt
lo
r-
(a
IFoIzol-E.d]=otlFzLUzoFlJo&LL
z@o,o
ooo.9
al
c
+UFi;+U
F
Utsu@,
o
o
o
o
I
vs*ct!aEoIJc.o.
|n
F2coE.9coo
c!
@.
ciF
Ua
E=
eI
dI,E
E:o-,E
E
Yo
EY
6E:E
e,2E
so(t
)d)o)oo-
&$
,f
r
i
Eoo5o.o,=ocIco;iB@o(oo@|r
)o)o,
c'
,$oNt-c.
,
lozdo€foE'2dt
.o-2oui
COoF.osoooCL
fU'6tro,Eco'tcUJ
oLZo-o
ot
r
ts
Z
E=OJ&.
Cj:@eGtlEu+e,oEot
costsf
InzVI
!-5C(uCoF:)
i5
(u
l-Z(I
J
-c
)E5ztl
l
-oo(ud.aa
roUC(uL)
it
r
oo(J(uoo
L(o
-c(J
.9Cf
(p
l
)
tu
a
t
:
u
r
a
o
3
a8
r
e
q
:
s
1
6
zL
Y
s
f
l
\
\
sosocn
(o
(L
<)$
ft
e
fr
E
F
,t
t
EoqCLo-
foco'tcot=@@(oo)
(o6o)o)o,
toF-F.N(JzEoEfoE'2c0
I}forr
i@oF*dsooclo:,o6coEcI'tcul
u_
rozo-oE
o1dq
6OJFdtl
l
u'
lac,
l-z(U
-oE)Z..
9
m
rt
,
<.
=
os
t
i
c
rn
g
>r
l
x
or
3
Z.
*-
-
n
Ft
r
l
;
5=
t
tt
'
t
+)
EE
E
-/
.E
E-
2
,
(J
A
r
e
v.
j
p
uu
z-
t
t-
=
a
(u
'
:
I
'6
u
iFc)oU(uboG'
-(J
tla
oN
6
o(
3
0
(
3
0
C
)
0
o0
0
(
)
0
0
0
dO
O
r
o
O
F
.
(
o
n
o-
1
o)
o
g
o
g
e
o
q
e
oo
o
(
)
o
o
o
oo
c
)
oo
o
sl
m
N
o)
q
q
OO
O
p:
|
-
lu
a
l
l
g
J
a
o
3
a8
.
r
e
q
:
s
1
6
zL
l
r
s
f
l
\
\
&
oolo
NooloNqoF4Yooo
NNqotsox"9E0oE
E''eqIEo>6Et !Foz€o.:@:oui
ll
oNo
>N
XF
o
l^t\
t<v
a\\Nss
lr
-
l.
.
l
>
l-
l
.
tt
^
-
tl
\
--
_
-
>
=l
.-
l
t-
{l
f
'-
t
^lVI
il\
oiol
o)qn.!;.i@;
q
FqFqqqF.iols;
qn^i qsI
NF.laqq\..
!
.lFJ8tsFqasc;
:<io
oq@c?ni
.!6iFc :
qoc?
..
!qEqs
.!ciqqqc
\IFqqqIniqN
qqIc.
{o3.is9
6lqalFtssc.
l
cci
I@.<iso
qN€ci6!s
INF\tsoItssq
otsq\oi
tss
il
Y
3
f
1
9
l
\
qqqqE.!sc,
qc2\c;.i.ici(ls
oqci
.!c
qq6iEci\ci
E.!@oc;q
E
€t
a
E
E
JE
ce
5
lt
t
_
^
9
9
El
.
l
e
l
f
i
:
s
s
r€
;l
E
l
;
|
;
;
;r
;
r
iB
i
'
i
i
i;
;
g
s
i
EE
o
!-
gE
;
E^
e6
3g
E
9:
sE
3
,9
E
il
n
l
i
EE
ll
tr
if
f!
!
g^
da
'
gg
g
E:
g
E
.e
EEq
OI>E
FP
+E
-l
-
l
.-
6
;l
E
l
+E
E
I
I
>s
[[
,J
J
E"
a
o3
>r
r.
E
!v
3
x
*
EE
s
E
!
s:
=
E
3
+=
3
pi
EE
c
g
;
E
;F
al
al
p
l
E
[[
n!r
r
-
-d
o
iE
Ez
!Ez!o=
9!"9L=6F;IE&oNoF;oc.9€o
,l
=
l
'
l
oroct
lo
f.
-
(r
)
IFoIzoFE.mJox.
lFz]UzotrfJo=(LtL
zJE.9,o
ds*coo.EoU-*act
(a
t,
dEqotFozo2@JouiEo>6Eu
c;cqqci
.IUq9
;qciNr:nU$o
Fqq8c;ocJU3Eciq.!
o8qutsF
Ucioq<,aUtsciF
ciuEric,Uc
.iFUaic;oc;U@q
Ucioloo.l
UciIoqq
..
,
1UE8oci@.oloFriq q
oq9!UE8ooUo.!s
0Eci oc,
lNoqeq!rI o..
1
Iciqo\.!!uC;
@.U8oooFUaiF
o ilUIciUc;
iUEciodo.l.!
2r
H
s
f
l
\
\
iUE.ioqu\ci@q
8ococ;qU^i\
<iuacici\!Uqc;
oqaciu.i
8c
.F
3
i
s8
E
--
!
r
6
E
it
E
*;
E'
,
.
9
E{
t
r3
tt
'Or'
6rtgiE!
4.
!t
ts
e
:
-N
d
E
E
6
or
l
O.
9
E
cf
&
fe
sb
-
E
rt
s
g
E
6€
)
oS
i
i
c
&_
a
aD=oE!!Ic
Fz.Ioco
cl
\
q
ci
qU.i
&
s;I,E
4I
€oI
d
Yo
&Y
Ei
;_9E
be
;
o
€!z!o
s5
9
g<
c
-i
6O
oE
ct
.e
i
E
-r
S.
S
=
!;
5oEC
Iooz
ff
i
f
f
i
9€
t
i!g.
=
e9
5E
!-
i
9
*
g.
E
,
f-
(f
)
IFoIzoFx.m=oi2o
il
Pzo.€
o
Ji
JC
o
o?
o
Ii
5
]L
U
,o
cEoo+gE
EEJd
ed
4ed,9E
6E;io.9BgI=
sol-oo
ooNF;o.9E€o
=
tg
a
oI
ooo
ociEo
oociUU
.9oo'6o
l=
c?
q
+U;U
uUF
o
o
o
o
o
O
d3coo.EoUll
.o3.A
so(qd)o)$(L
H
Eoo>.o-CL
foco'tErl
)ttoo@q(o
|r
)o)o)o,
!tot-t*NozE(5==oi
E2@llfou.
i@oFos:ooo-
CL
fo6coEco'5clU
(uz(U
-o
qt
r
BZ
-6
EEod.
(I
JZ(u
-oE:)Zo
rn
lf
r
E
ET
Y
.
)
E
r
r'
i
l
:
o=
p
CE>z
:
(u
-
.
3
d.
tt
t
I
s=
t
!c
6
!.
9
fi
f-
i
l
6.
9
;
(J
Z
r
iE
J
a
ti
5
|
o(J(uoo
({
,
.C()
.J
l
i5
oo€d
c)o)ci
(p
l
)
fu
a
t
r
U
l
a
o
3
aE
r
e
q
:
s
1
6
zL
Y
s
f
l
\
b
vo$oE'
)
(!o
H
Eoo5CLCL
foco.Eco;i@o@q(ooo,o,o,
tfot.
-
t.
*
c\
lozEocfoi
I'd)
-ofoui@oF.ocaoo.>o.ofo6c0)Eco'tEuJ
!_
1
(uzo-oE
ts
z
di
6
:c
,oo)
d.F&(,UI
lr
)a(U7aJ
-oE=z*c
o
i:
l
n
=
oc
o
E
-
r.
-
f
)
i:
=-
i
€
(U
-
3
Z.
*\
-
p
F.
r
t
T
t_
.
-
a
d
=
T
ql
P5-
o
X
lq
c
H
LJ
.
}
v.
Y
!
EY
6;
t
'6
lr
iE
(UoUcJbo
roL)
.2o
oqN
(f
,
s"
ogo
oo
o
o
oo
o
o
6N
6
6
oq
o
g
a
o
g
oo
o
o
oo
o
o
o
o
oo
o
o
o
o
Sm
N
d
O
(
,
r
ol
cl
o
)
o)
o
)
og
oo
o
o
o
c
)
pf
-
tu
e
l
l
l
#
a
o
3
a3
:
e
q
:
s
t
6
zr
y
"
f
l
\
b
I
oocooI{Y.9Eootr
Yoogo
Etq3aozd€o.:6Eieo>aEEe';U
oNoNF$$
la
-
t<vll>.
-i
-l<l
'l
-
.i
-
l
L
-
'I
,
ll
ll
f
Y .i
r?qNNoci\.is
a qclncs
q\oqd2qa
E:@,
.!q6!FFs
qIqtsq
q.!qF
q€qqY.JqFqq*
F:ci@qYqqqq.Ja
tsqoqqFqa
qcq\No!cinIq
@qqac
qni\\
dc\qq
tsaiN';qq
il
v
g
$
r
\
b
q.i ci\.?s
Fd\ccicFqqo
.!a!6ic\cqtsqcs
ciaq.i.!ceqqs
ci
c?cq<i
EYe
!,
Y6
g3!l6
.E
>;
5
-
-
c6
'
EE
,
E
f
>"
i
E
EF
3
3
9r
i
i
s
E
EE
Ec:
E
E
EE
E
=
eE
EEq
OIEa
EE
>EEE
sg
t!EE
66
FF
.6
p
.8
9
"t
-
t
*l
-
l
IniE
FFaF5oaIe3=l
'
l
ql
d
l
'l
'
l
ln
af
ddFt
;l
-l
'l
-
l
tl!a
t'
r
'
;-
9
6t
-d3e
;o
^e
6I
rE
.g
E
El
-
l
'
l
tr
[
[
J
.l
.
i
a
.t
tEE
zz
!E=o
o
E'-9E=6F;E=ct
l=
l
*
l
o
t!t
ro
r-
(a
IF-oIzaFtr
(D=oE.
lFzTU
tuJ(LU)
(LtL
E9
:'
a9f
GS
!-!oo!
>coe
:J?3
z9
iEEQ
3
Er
r
c
Ids
t,g*c.EgEoL'
-aCtela
IE>.q]Iz€o2o6uiEoizEU
tsUo)FcN6,
1olpU\
Nc;NolUqq
\ccioNoiol
IUco
olNcciNqUqnq
ItsFUtsotN.iEctsqNqdc\
qqFUcolqFq\<iU
tscio!NqolNuFciE
Nqqo!!qqFts.idU
qciqo.q\rir:E;Uq
FNUqqNqqolqq
qNUNcNolq\dNUIqNa2
.!FqU!qNNqca.UN
q..
!UqtsFUNqc?q
NoFuqqtsoeN
NqFdr
tsqotsU.!cq
quFcNqNqciq
o!
trEqqNqdUqqqq
2\
v
s
f
r
\
b
q\UNIcqNqU
Fci
IUcqeqqdN8Uqqq
oIeo
oUU
;:
E
o
EE
6E
S
E
E
";
E-
a
!
!.
9
ei
t
s
€H
3^gza=
c6
e
Ec
,E
3*
E
5E
=
i
e
tE
{
.H
3l
c9
E
ii
tosE:
-
=E
E
S
>=
=
ito
aa
"i
E
E
Eg
E
=
ng
I
*P
E
!
eeL=
!-
9
:3
E
-!
6
=
ol
E
E-
4
tE
E*
6
E
Z69a
rg
!
s
EE
:
6
s
Ee
pE
:
5
i
o9
t
r
sl
I
-a
*
5e
pE
:
5
i
o8
t
r
e:
P
-a
e
ff
F
l
:
l
r
l
{
ET
;
l
'
l
.!
*
U:
l
f
t
h
k
l
[l
l
r'
*
FLzoc3eao
F
q
q
q
.i
N
uq
4-
oI
seoNIE
E
o
EY
EII6E
E;IE
Nodts;o"9o
t-
(f
)
IFoIzoFE,
co=C)
ti;
Lr
J
LUJJ
(L
6
a?o-
a
LL
|!
t,cUECo,cul
3!tool!
af,E
c
8
UEU
Fq
UIUF
o
o
o
o
cEoa+cet
l.
l
sl
S
l
-
e
l$
l
€
el
.
i
i
E
dl
E
I
!
*l
u
l
*
sl
E
l
s
=t
-
t
"
El
e
l
?
sI
E
I
E
ol
f
i
t
9
"]
E
I
E
lc
lE
I
te
I
lE
|-
Esee6B.E.l
t=
:lcl.l<l>tololot
$ts(t(.
,o,Go-
&
Eoo5CLo.
:,oco.EcotI@@@o@lo(no,
(n
t(
-oF-F-
(\
tozE(5
!foT'
dto!od6oF-oE:oocto-5oIicoEcI'5ELU
eooo@C)
L
dz
IL(u
-oEf
gz
!1
q
ts
r
,
6o
Cod.
aL=l-(u
lrE=24
E
€$
E
tr
n
P
EF
I
I
>z
;
q,
,
\
(J
Ed
I
tr
.-
a
E-ud
s
v\
Ou?
E
C(
u
E
.o
E
-
g
(J
C
P
-.
-
L
I
tt
r
r
o
I
(J
.
)
u
t
a
ol
L)
(uE(EE()
.2o
ooooot
n
o)
oq
oo
pJ
-
lu
a
l
l
u
J
a
o
3
at
:
e
q
r
s
g
g
2l
1
3
8
f
l
g
b
tb$c)o,
(Eo-
ft
E
,&
t
ctozo)
!
AE
ci
lGr
!
olud,Fc,d,J
t
!'
!9-@L=t-(u
-c
lE=z?
th
.9
EA
F
o+
E
35
s
ar
E
&.
2
Y
EE
i
d=
rn
i
+
9E
E
^)
E
Y=
E
+J
C
Y
gs
t
iE
(uouosC'
.CrJ
.2o
oo.oU;
oolr
1t:o
pf
,
-
lu
a
l
l
u
+
a
o
3
a8
r
e
q
r
s
g
6
zl
y
s
f
l
\
\
195 of20l
HF Sinclair Woods Cross Refining LIC
PM10 Souree Testing
20H3
196 of20l
20H3 Test Process Data-PM Testing
Year 2023
Meter: 20-FC-400i
Descriptior Fuel Gas flow to 20H3
Units: mscf/d
Notes:
Test Data
stert End
Run 1 8125/2023 8:26 812512023 t2:56
Run 2 812812023 23:03 8129120233:13
Run3 8/29/2023 23:30 8130120233:38
Testing Process Data
ftd
Run 1 484.57
:,RUn 2 502.49
,Run 3 s09.33
>90% Production Check
'ieiti_ng Rate't-Yea(,Max,%
mstfld nrscf/d
of 3{eaf
' ,::t:\llly ':""
,Run:1 484.57 s30.86 9L.28%
Run 2 502.49 530.85 94.66%
R'un.3 s09.33 530.85 95.94o/o
197 of201
@
a?
=
1
a
E
f;
3;
=
T,
Z
r
fl
r
o;
e
€
o
8o
oqo
eo
oci
o
oo
o
o
oo
oco
oo
r.:
oQil
trEc0FE
r
-
-
s
t
\
I
€
l
l
l
_
i,
l.
N
:
|
"
.
E
E
l
t
{
l
;
:
q
t,
,
t
9
x
!
I
I
I
t
_!
o
I
l
-
u
E
l
*
l
,
r
oeN
6
e
o
B;
e
o
o
I9ir
r
r
rr
9.
+
a
-
ix
o
\
o
\
o
\
o-
n
2
="
r
f
a
L
:
!
-
t
r
{
s
3
K
3
J
#
'a
n
V
6€
ro
o
d
6ir
r
o
66
Ia
5rI
.1
n
I
€'
\.
a
oI
rroI
6i
9r€
.j
q
r6io
o
o
o,
.
9
g
-
z
5E
E
z*
s
R
3
r
q
sr6
I..
1
I
oI
\I
I
rN
r
I
IooI
oI
9
ccF
6i
r
.arI
or
6i
r
@d
t6ir
o.ir
o
6ir
,Fz?
r-
tr
i
7=
r
i
<
a
7a
>
67
r
o
o
r
Fa
a
oqo
oo
oo
oo
o
o
oo
oo
o
o
o
o
o
o
o
oo
o
o
€c.
l
I?,t
rU
dc0zIN^
I
or!
;t
oQ
N..
!o
Iqo
o
Io
o
oo
o
o
o
o
qo
oA
oI
oq
Io
oo
oq
o
o
oo
ro
oo
o
Z
I
oqo
oq
t
q
oo;
oco
o
6il
F
rrN
o
o
r'
)
I
oo
oo
oo
o
o
qo
ao
oo
oo
oqo
qo
o;
€
or
oa
c]
r
ro
o
oo
oo
oo
ooA
cc
oo
o
ao
oco
oq
oo
aJoJ
A
o
N€
I\
N
N
€
eo
oI
o
ao
oe
oI
oI
o
o
oo
o
oq
o
o
oo
o
o
x
n
{q60Fz!!FzoOFq.
t
IFoz
IEt:6r;oi
-9oe
zo(-
)
I
61
I
ooo
rIa6
I
r6ri
oo
Ir
o
ooo
eo
oo
raro
oo
aooo
ooo
oo
oa
oco
ooo
oo
oo
o
oo
ooo
oo
rn
Fjo
6i
..
1
o
o
ro
qN
@
6I
r
o
rI
oo
r
N
r
r
I
a
I
d
r
dL)
=
I
oU
a
a
I
a
fa
a
a
a
z
Iq
9
oU
o:a
o
o
a
a
zaFzoQFEl
Z+CL
zoo&e
+aU
oxIozoo
tr
1zFql
ozFg.
l
rztr
J
Ih
t!zd
rzJo&
E]zFoo
ElzF?
HEI:)zq](,oc.I
qzFao
r!zaFDFd8
rdzaF)
azoJF)
q.
lzI!F)ca
q]zFza
zo(,oIcz
g.
lzaoF3ca:
az@FzrF
oeXzozoco
CA
s]zaFz,r
l
+IOElziIJ
.
)z
ElzL.g.
lz
q.
)zI!Nz@
zEJIx
ElzF-zg]&
Ji.
Rx
ER
9ig<
&
q0Jzo,.
)
r.
]p3j
PE&eo>€?3
,i
-.
19
8
of
2
0
l
o
e2
s
d
e
:;
i
-
1
>
A
s#
s
i
=
o
o
o
Nr6i
o
o
o
o
oo
o9a
oo
rIo
o
oo
a
oqo
ao
ooo
oo
ooo
oo
o
Io
EFEt
-
,
t
\
t
E
l
r
l
l
{
l
w
I
-
i
l.
N
i
l
'
-
E
€
l
r
l
;
:
f
l
'
l
l
{
,
;
f
l
f
l
,
r
l
!
l
\
l
v
r
;
o€o
s
o
o
BJ
d
i
o
o
or
N
ir
r
rt
r
o-
rr
U.
4E
H
g
E
Y
x
sn
E
r
F
'a
r
V
N
rqro
oq
o6i
N.ir
Nr
q6
U
6r.o
9
..
!
1I
II
dod
Iri
ooo
rroI
r
c]
6
rNo
a
ari
o
o.
_
.
9
s
z
=
ip
o
2
k
iR
B
=
'
F
r'
a,
v
or
q
o
Ir
I..
1
€
di
oI
\
ri
d
r
I€
€€
og
6i
r
o
ts
ai
r
9ro
dr
6i
r
@N
cNr
o6i
r
oo
6i
ts
:<
:@1A
F
u.
i
,<
-
Aq
>
-V
r
o
o
6
a9
6
6
o
69
eo
o
o
o
ro
oo
oo
o
oo
oo
o
o9o
oo:
oo
o
o
oo
qr
ort:ilEoOo
aaEI6N"
tl
!
q
o
q
d
N
o
o
o
o
o
o
a
o
o
o
o
o
o
o
o
o
oqo
oo^
oo
o
z
oqo
oo
oo
o
oo^
oqo
Ffla
I
I
r:
o9
66lN
ol
r
6q
o
o
o
o
c
o
o
9
oo
o
oo
R
a
o9
66
o
o
ooo
o
o
o
oo
o
oqo
o
o
o9o
oIo
o
oqo
o
r
IFo
rc;
o
oq
q
I..
!
r
o
o
o
oo
oq
oo
oq
o
oo
oo
oq
o
o
q
oI
oIo
N
qrIGzoF4UFuIFoz
a
oo
oo
Nr:
N
rt
J
oo
r
66r
oqo
ooo
oo
8o
ao
ooo
ooo
oooo
oooo
oo
o
o
oo
ooo
oo
oo:
ooeo
ooo
I6otr
I
a&
I
!€
ro
di
qN
di
d
o
q
r
odN
od
or
rG
N
r
a.i
or
Nr
I
Nr
N
O
oa
a
9
fI
fa
U
9
Ia
O
O
O
a
z
o
I
oU
oa
a
fa
o
o
zEtFzooF!!o&
Za
zodA
+9
qlxoazo&
DzFEl=
qlzF
s]zr!
,.
1F
z&
t!zaJo&
ozFDl0o
azFD@
aeLJ3za()o&oI
qzFzoo
azqJFfF.utr
lz@Fca
azr!JF@2
g.
)zt!FI
ozFzg.
l
zElooF
zoFft0t'
l
azaFz@
aaxozozo&
4az
azaFzo&
+IOz>i
azts
av.Nzo6
zx
g.
izFzq.
l
-dgn
:E
N
9,
-2
i<
&
aJzIE]Dl-OIJ;E(Ja)
>€Eo
av
;
E}
19
9
of
2
0
l
o
6Y
a
l
.
x=
i
>
8
5
fi
ji
=
a
o
r
o6i
oo
I
o
ao
oo
oo
oo
oo
o
o
o
o
o
o
oo
oco
oo
o
oA
[1
=
r
cq
q
q
rNti
l
[
[QE
O
Z
agdFsq
rE
i
S
t
X
*
3n
B
v
F
t
ar
V
*v
dI
rI
o
er
..
!
r
0
6
oa
6ra
.!
1o
I'a
@
€ri
FF
qo
Ir0
.1
qo
r6io
0ri
ari
6
o
.,
.
9.
g
Fe
1
9
-
-
9:
!
e
E
'
F
/
ar
V
or
q6
oA
€\6
Ic.
!
d0
o
Frir!
.1
r
r
Io
I
oI
6ir
o
r
6ir
ro
dF
.i
o6i
ts
!6i
r
6i
r
,o
.
i
)
.
;t
E
E
H
zE
S
t
i
QA
o
o
o
..
!
o6i
a
6ooi
ooo
N:
oo
o
o
oo
oqo
o
oo
o
ooo
aq
oo
oo
o
o
o
IJ
oIoOo
c0qNil
Ftd()
o
oo
oo
o
o
r
oq
o
o
oo
oo
oo
oo
o
o
o
o
ooo
o
oo
o
o
o
o
o9o
o
oq
6n
r!Jo2J
oo
o
t!JoEca
I
oqo
oco
aIozJ
a
o
oq
o
IF
Fz
I
!Ic!J
q
@c?
q
o
o
oo
oo
oo
qo
Io
o
Io
qo
oo
oqo
o
oq
o
69
!J!j
oo
o
I
r
o
o
.1o
aqo
o
o
o
E
ooo
c
oqo
oI
oa
oq
o
o
JF
!E
Nq
oq
o
6
.1
o
r..
,
1o
Fo
oo
oq
oq
rq
o
o
cc
o
oo
Io
oI
oo
o
o
o
n
,;a€eFzoFzUFq.
1Ft!z
E
99
od
6t:
d6q
a
oooo
rI1o
N
oo
o
oo
oo
N
o
ooo
oo
ooo
oo
o
oo
oo
II
oo
o
6;ri
)
IG)FzElFzoOFoodo
&d
?F
q
c.
t
a
ro
q
di
q
N
q
r
o
di
or
r6
d
r
a.i
F
0
I
I
N
(tI
I
fa
f
IU
U
I
a
O
a
z
a
O
oI
o:o
o
O
O
a
o
o
ozDo
zaoo
aXIzoco
qzFtl
l
ozF
z!.
tJF
E)z
zoJA&
I!zFcoo2
azF
aoLJDzEooT
qlzFz@o
zEJFlaF€azoF3@
azaJF)o
q.
)zDF
I!zFzt!Az
zdoo!z
zoF..
1
q]zoFzN
oxozo1c0d
z
ozr!Fzg.
l
+oOozXql
aztsB.
l
q.
lzaNzo
zq.
]X
r!zFzE1
JFo
g;
INqA
-F
<
qO..
1zoFl3fiOJ'jeEeUt9c@@i
i
20
0
of
2
0
l
201 of20l
Source Information
Division of Air Quality
Compliance Demonstration
Source Information
Company Name Holly Frontier Refinery - Process Heater 20H3
Company Contact:Travis Smith
Contact Phone No.801-299-6625
Source Designation:Process Heater 20H3
Test & Review Dates
Test Date: 8/25, 28-30/23
Review Date: 11/28/2023 Tabs Are Shown
Observer:Robert Sirrine
Reviewer:Robert Sirrine
Particulate Emission Limits
lbs/MMBtu lbs/hr lbs/MW-hr
0.0070
Emission Rates - "Front Half"
lbs/MMBtu lbs/hr lbs/MW-hr
0.0005 0.0189 0.0000
Test Information
Stack_I.D._inches As ft^2 Y Dl H @ Cp Pbar Pq (static)Dn
58.00 18.35 1.1420 1.67 0.758 25.8 1.26
0.37
Contractor Information
Contracting Company: Montrose Air Quality Services
Contact: Scott Bouchard
Phone No.: 303-495-3936
Project No.:
8265
Circular
10100
9780
9860
9190
8710
8710
8710
10540
10640
11950
320
10610
10200
10390
1970
1800
1910
1420
1040
1190
1250
F factor used
F factors for Coal, Oil, and Gas
Anthrocite 2
Lignite
Natural
Propane
Butane
COAL
OIL
GAS
Bituminous 2
Fd Fw Fc
scf/MMBtu scf/MMBtu scf/MMBtu O2
CO2
lbs/MMBtu
Page 1
Summary
Division of Air Quality
Reference Methods 5 - TSP
Compliance Demonstration of
Holly Frontier Refinery - Process Heater 20H3
Testing Results Lab Data - grams collected
Test Date 8/25, 28-30/23 8/25, 28-30/23 8/25, 28-30/23 8/25, 28-30/23 Lab Data Probe Filter Back
Circular Run 1 Run 2 Run 3 Run 4 Run 1 0 0.00216
As ft^2 18.35 18.35 18.35 Run 2 0 0.00154
Pbar 25.80 25.80 25.68 Run 3 0 0.00072
Pq (static)-0.26 -0.26 -0.19 Run 4
Ps 25.78 25.76 25.67
Avg. Ts F 631.60 605.00 602.20 Front Half Emissions Summary
CO2 - FCO2 8.46 8.33 7.43 Run 1 Run 2 Run 3 Run 4 Avg.
O2 5.98 5.86 7.55 gr./dscf 0.0004 0.00030 0.0001 0.0003
N2+C 85.56 85.81 85.02 lbs/hr 0.0276 0.0200 0.0092 0.0189
lbs/MW-hr 0.0001 0.0000 0.0000 0.0000
Md 29.59 29.57 29.49 lbs/MMBtu 0.00068 0.00049 0.00025 0.00047
Ms 27.89 27.77 27.91
Y 1.1420 1.1420 1.1420
Cp 0.76 0.76 0.76 Total Emissions Summary w/back half condensable
Vm cf 78.60 79.90 77.10 Run 1 Run 2 Run 3 Run 4 Avg.
Vlc 79.90 79.90 79.90 gr./dscf 0.0004 0.0003 0.0001 0.0003
AVG. Tm F 87.00 86.15 80.85 lbs/hr 0.0276 0.0200 0.0092 0.0189
lbs/MW-hr 0.0001 0.0000 0.0000 0.0000
Vm std 80.60 79.50 82.30 lbs/MMBtu 6.840E-04 4.905E-04 2.496E-04 0.0005
Vw std 3.76 3.76 3.76
Bws 0.15 0.16 0.14
S Bws 1.00 1.00 1.00
Avg. Sqrt Dlp 0.25 0.25 0.25
Vs 19.88 19.69 19.65 F factor used
scfm wet 9.12E+03 9.25E+03 9.22E+03 8265
acfm 2.19E+04 2.17E+04 2.18E+04
Qsd dscfh 4.67E+05 4.69E+05 4.77E+05
# Sample
Points 20.00 20.00 20.00
Dn 0.370 0.370 0.370
An 7.47E-04 7.47E-04 7.47E-04
Start Time
End Time
Total Test
time 240.00 240.00 240.00
Time @ point 20.00 20.00 20.00
O2
CO2
lbs/M
Page 1
Summary
80.00
90.00
100.00
110.00
120.00
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
%
I
s
o
k
i
n
e
t
i
c
Points
Run 1 PxP Isokinetic
80.00
90.00
100.00
110.00
120.00
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
%
I
s
o
k
i
n
e
t
i
c
Sample Points
Run 2 PxP Isokinetic
80.00
90.00
100.00
110.00
120.00
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
%
I
s
o
k
i
n
e
t
i
c
Sample Points
Run 3 PxP Isokinetic
80.00
90.00
100.00
110.00
120.00
1 3 5 7 9 11 13 15 17 19 21 23 25 27 29 31 33 35 37 39 41 43 45 47
Sample Points
Run 4 PxP Isokinetic
Page 2
Run 1
Holly Frontier Refinery - Process Heater 20H3 Flow & Moisture Test Date 8/25, 28-30/23
As ft^2 Pbar Pq (static) Ps Avg. Ts F CO2 - FCO2 O2 N2+C Md Ms
18.35 25.80 -0.26 25.78 632 8.46 5.98 85.56 29.59 27.89
Y Cp Vm cf Vlc Avg. Tm F Vm std Vw std Bws S Bws 160.4303
1.1420 0.76 78.600 79.90 87.00 80.600 3.761 0.1470 0.9990 0.999
Avg. Sqrt
Dlp Vs scfm wet acfm Qsd dscfh
# Sample
Points Dn
Total Test
time (minutes)
Time @ point
(minutes)Avg. Dlh
0.2490 19.88 9,122 21,946 4.67E+05 20 0.37 240 20.00 1.160000
FALSE
Point No.Meter (cf) dl "p" dl "h" ts F tm F (in) tm F (out) Imp. Liquid Collected
1 0.000 0.06 1.16 632 82.9 91.1 Wt. (Final) Wt. (Initial) lc
2 78.600 0.06 1.16 632 82.9 91.1 460.0 420.0 40.0
3 433.5 427.1 6.4
4 340.9 311.4 29.5
5 591.9 587.9 4.0
6 0.0
7
8 Isokinetics 88.4
9 Test Date 8/25, 28-30/23
10 Start Time enter enter
11 0.2330 enter
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
Page 1
Run 2
Holly Frontier Refinery - Process Heater 20H3 Flow & Moisture Test Date 5/13/2009
As ft^2 Pbar Pq (static) Ps Avg. Ts F CO2 - FCO2 O2 N2+C Md Ms
18.35 25.77 -0.19 25.76 605 8.33 5.86 85.81 29.57 27.77
Y Cp Vm cf Vlc Avg. Tm F Vm std Vw std Bws S Bws 132.9213
1.1420 0.76 79.900 79.90 86 79.500 3.761 0.1550 0.9990 0.999
Avg. Sqrt
Dlp Vs scfm wet acfm Qsd dscfh
# Sample
Points Dn
Total Test
time (minutes)
Time @ point
(minutes)Avg. Dlh
0.2490 19.69 9,250 21,727 4.69E+05 20 0.37 240 20.00 1.16
FALSE
Point No.Meter (cf) dl "p" dl "h" ts F tm F (in) tm F (out) Imp. Liquid Collected
1 0.000 0.06 1.16 605.0 90.9 81.4 Wt. (Final) Wt. (Initial) lc
2 79.900 0.06 1.16 605.0 90.9 81.4 460.0 420.0 40.0
3 433.5 427.1 6.4
4 340.9 311.4 29.5
5 591.9 587.9 4.0
6 0.0
7
8 Isokinetics 88.5
9 Test Date 8/25, 28-30/23
10 Start Time enter
11 0.2330 enter
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
Page 1
Run 3
Holly Frontier Refinery - Process Heater 20H3 Flow & Moisture Test Date 5/13/2009
As ft^2 Pbar Pq (static) Ps Avg. Ts F CO2 - FCO2 O2 N2+C Md Ms
18.348 25.68 -0.19 25.67 602 7.43 7.55 85.02 29.49 27.91
Y Cp Vm cf Vlc Avg. Tm F Vm std Vw std Bws S Bws 130.6820
1.1420 0.76 77.100 79.90 81 82.300 3.761 0.1380 0.9990 0.999
Avg. Sqrt
Dlp Vs scfm wet acfm Qsd dscfh
# Sample
Points Dn
Total Test
time (minutes)
Time @ point
(minutes)Avg. Dlh
0.2490 19.65 9,224 21,809 4.77E+05 20 0.37 240 20.00 1.16
FALSE
Point No.Meter (cf) dl "p" dl "h" ts F tm F (in) tm F (out) Imp. Liquid Collected
1 0.000 0.06 1.16 602.2 79.2 82.5 Wt. (Final) Wt. (Initial) lc
2 77.100 0.06 1.16 602.2 79.2 82.5 460.0 420.0 40.0
3 433.5 427.1 6.4
4 340.9 311.4 29.5
5 591.9 587.9 4.0
6 0.0
7
8 Isokinetics 86.3
9 Test Date 8/25, 28-30/23
10 Start Time enter
11 0.2330 enter
12
13
14
15
16
17
18
19
20
21
22
23
24
25
26
27
28
29
30
31
32
33
34
35
36
37
38
39
40
41
42
43
44
45
46
47
48
Page 1