ML20245J507

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Unit 3 Control Element Assembly Drop Time Tech Spec Change Justification
ML20245J507
Person / Time
Site: Waterford Entergy icon.png
Issue date: 07/31/1989
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ABB COMBUSTION ENGINEERING NUCLEAR FUEL (FORMERLY
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ML20245J501 List:
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NUDOCS 8908180053
Download: ML20245J507 (47)


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WSES-3 CEA DROP TIME TECHNICAL SPECIFICATION CHANGE JUSTIFICATION JULY 1989 l

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Prepared on Behalf of Louisiana Power & Light Company by l

Combustion Engineering, Inc.

1000 Prospect Hill Road Windsor, CT 06095 PDC' 7/JT[W s

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O ATTACHMENT Al CONFIRMATION OF THE AVERAGE CEA DROP TIME CONCEPT FOR WSES-3 l

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1 0 INTRODUCTION 2.0- PRESENT SAFETYLANALYSIS 3.0 MEASURED DATA

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4.0 AVERAGEDROPTIMEMET00D

- 5.0 HERMITE CODE 6.0 CASE SELECTION'

'7.0 HERMITE RESULTS 8.0 ' BASIS FOR AVERAGE CEA DROP TIME 9.0 FUTURE SAFETY ANALYSES

10.0 REFERENCES

APPENDIX Al-A " Measured CEA Drop Time Test Data From Cycle 3" e,

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1.0 INTRODUCTION

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The analysis method for 1'ncreasing the margin between the measured CEA drop.

- times _and the CEA drop time Technical Specification value' is to credit the measured spatial distribution of CEAs about an average. position as opposed to the"present. safety analysis ' assumption :that all CEAs: are 'at the same

'axialt heightL as the1 slowest CEA..The present safety analyses assume that all.CEAs drop'into the core during a scram.at-the same time and at the'same rate'. The drop time is assumed to be that of the slowest CEA. However, the.

worth-of a CEA' is ~ a function of the power or ' neutron flux environment p

surrounding the CEA._ Therefore, the negative reactivity insertion for. a distribution.of CEAs'is more directly correlated to, and.can be represented by, the average CEA insertion rather than by the slowest.CEA.

The proposed method is based on the use of the average CEA position. A set of 3D HERMITE space-time calculations were performed to confirm that the same negative. reactivity will be inserted for the case of the CEAs

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distributed about an' average CEA positionD (the " distributed" cases) as the

" window shade" case for which all CEAs are assumed to be positioned at the -

same average CEA position.

These 3D HERMITE cases were chosen to cover the limits of the as-measured CEA distributions.

From the results of these cases, it is concluded that the " distributed" cases will provide the same amount of negative reactivity insertion as the " window shade" case.

Therefore, the Technical Specification can be changed from the maximum drop time of all CEAs to the average drop time of all the CEAs. To ensure that the safety analyses remain valid for an average CEA drop time Technical Specification, a limit is placed on the distribution of the CEAs.

This limit is expressed as a maximum drop time for the slowest CEA in the revised Technical Specification to restrict CEA drop time distributions to those covered by these analyses.

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The present and proposed CEA drop time Technical Specification addresses 1

only full lenath CEAs.

Part length CEAs are not included in the safety analyses and thus are not included in the drop time test.

Page Al-2

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2.0 ParWNT 1AFETY !_m*1ysis Figure Al-2.1 shows the logic diagram of the per tinent safety analysis ' data used to support the expansion of the-CEA position versus ' time curve to accommodate a larger CEA holding coil delay time. Of interest are the three

" icons' of Figure Al-2.1 representing the space time scram curves, the CEA position versus time curve and the time dependent space-time reactivity insertion data.

Figure A1-2.2 illustrates a typical space-time scram curve generated using FIESTA or ID HERMITE, References 1 and 2 respectively.

A family of scram curves was generated parametric in initial axial shape index (ASI), total scram worth and time in cycle to bound the range of operating conditions.

A new CEA position versus time curve, Figure Al 2,3, was generated so as to bound the measured data from the 1g88 CEA drop time testing performed at the Beginning of Cycle 3.

The Cycle 4 safety analysis employed the Technical Specification basis that the input CEA drop time curve bounds all CEA drop times at 90% insertion.

Any individual CEA drop time. greater than 3.0 seconds would violate current Technical Specification. The scram curves and the CEA position versus time curve are combined to provide the time dependent normalized space-time reactivity

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insertion during the transient of interest, Figure Al-2.4.

This curve is

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combined with the total static scram worth (All Rods In (ARI) minus Worst Rod Stuck Out (WRS0)) as calculated by ROCS, Reference 3.

Inherent in the WSES-3 safety analyses is the assumption that the time dependent negative reactivity insertion is governed by the slowest CEA.

Hence, the Technical Specification requirement that All CEAs fall within the 3.0 second drop time at gDE insertion.

This assumption will be modified to expand the margin between the measured and safety analysis CEA drop time.

3.0 MEASURED DATA Figure Al-3.1 shows the (arithmetic) average position of all the CEAs as well as the maximum and minimum envelopes based upon the detailed WSES-3 Cycle 3 CEA drop time testing data provided in Appendix Al A.

The envelopes are ngt derived from the slowest and fastest CEA, but rather the maximum Page Al-3

and minimum position of all the CEAs at each time point.

Individual CEA drop times relative to the average drop time of all the CEAs are presented in Figure Al-3.2 at several average CEA positions: 3%, 25%, 50%, 75% and 90%

inserted.

4.0 AVERAGE DROP TIME METHOD The present safety analyses assume that all CEAs drop into the core during a scram at the same time and at the same rate.

The drop time is assumed to be governed by the slowest CEA.

However, the worth of a CEA is a function of the power or neutron flux environment surrounding the CEA.

Consequently, the worth of all the CEAs at any time during the scram depends on the average flux level seen by all the CEAs.

During the critical part of the scram the lead or faster CEAs will be in higher axial flux regions and will make a greater relative contribution to the net negative reactivity scram worth inserted than the slower or lagging CEAs.

Therefore, the negative reactivity insertion for any reasonable distribution of CEAs is more directly correlated to, and can be represented by, the average CEA insertion rather than by the slowest.

Based on the measured data the CEAs do not scram at the same time and at the same rate but have a spatial distribution about the average.

The proposed method uses the average CEA drop time.

The appropriateness of the use of the average drop time was confirmed by performing a set of 3D HERMITE space-time calculations.

These show that the same negative reactivity will be inserted for various cases where the CEAs are distributed I

about an average CEA position (the " distributed" cases) as for the case for which all CEAs are assumed to be positioned at the average CEA position (the 1

" window shade case").

l Typically ID analysis methods are used to calculate the CEA reactivity insertion during a scram.

This is an acceptable simplification for " window shade" modeling of the CEA insertion.

However, 3D methods are needed to model the CEA spatial distributions of the " distributed" cases.

Page Al-4

These calculations are performed using 3D HERMITE space-time methods, as opposed to static methods using ROCS, because the ID scram curves introduced in the present (Cycle 4) safety analyses are based on space-time calculations.

The differences between static and space-time calculations are illustrated in Figures Al-4.1 and 4.2.

Figure Al-4.1 shows the prompt axial neutron distribution calculated by space-time methods during a scram.

This is the same shape and response as a static calculation which assumes that the neutrons have reached equilibrium for each time point.

The delayed neutron distribution is presented in Figure A!-4.2.

The delayed neutron flux does not shift towards the bottom of the core in response to the CEA insertion as rapidly as the prompt component and the magnitude does not drop off as quickly.

It is the time dependent representation of the delayed neutron shape during a scram that results in a faster power reduction in the space-time calculations. This faster power reduction was used to offset the impact on the safety analyses of the increased CEA holding coil delay time reflected in the new CEA position versus time curve.

These 3D HERMITE cases are a one time analysis to demonstrate that the use of the average CEA drop time is conservative with respect to the use of the measured CEA drop time distribution, and thus to support the redefinition of the CEA drop time Technical Specification to that based on the average CEA drop time.

The'3D HERMITE analyses do not affect the safety analyses of Figure Al-2.1 and Attachment A2 which will continue to use the ID space-time scram curves (assumes " window shade" distribution), the static ARI-WRSO scram worth (assumes a " window shade" distribution), and the new CEA position versus time curve.

However, the definition of the CEA position versus time curve and what the CEA drop test measures will change from " maximum" to " average".

5.0 HERMITE CODE i

The HERMITE code was developed at Combustion Engineering for the analysis of design and off-design transients in large PWRs by means of a finite element j

numerical solution to the multi-dimensional, few-group time dependent i

Page Al-5 1

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i (space-time) neutron diffusion equation including CEA motion and the feedback: effects of fuel temperature, moderator temperature, moderator density and xenon.

A topical report (Reference 2) describing the code, its input and verification was submitted to the Nuclear Regulatory Commission I

(NRC) in' March 1976. Submittal was made_at the same~ time as a separate C-E topical report on the CEA e,iection accident (Reference 4). NRC approval for both topical reports was obtained in July,1976.

Since the HERMITE Topical Report was approved, the code has undergone a number of incremental improvements and has been applied to a variety of analyses.

Key imprwements include the addition of the Nodal Expansion Method (NEM) neutronics (Reference 3) and the inclusion of the TORC Thermal-Hydraulic calculation (Reference 5). NEM was used for this analysis but the TORC calculation was not.

HERMITE (including NEM and TORC) has been applied over the years in a variety of specific licensing analyses on specific dockets.

The major applications have included one-dimensional space-time calculations for the loss of flow accident (WSES-3, SONGS-2/3 and Palo Verde-1/2/3),

three-dimensional calculations for the steam line break accident (WSES-3, SONGS-2/3, Calvert Cliffs-1/2 and St. Lucie-2), and two-dimensional analysis of asymmetric steam generator events (WSES-3, SONGS-2/3, Palo Verde-1/2/3).

6.0 CASE SELECTION Three sets of cases were chosen to demonstrate that the " distributed" cases provide essentially the same time dependent reactivity insertion as the

" window shade" case. The HERMITE cases are run as a quarter core model with nominal operating conditions:

beginning of cycle, hot full

power, equilibrium thermal hydraulic and xenon conditions and B0C neutron kinetic parameters.

The first set of demonstration cases was performed using the as-measured CEA distributions directly.

The CEA position versus time data for the quarter core model were derived from the full core CEA drop time testing data.

As illustrated in Figure Al-6.1 each quarter core CEA location in HERMITE used Page Al-6

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the average of the four full core symmetric measured CEA drop times.

The HERMITE CEA position data for this "as-measured distribution" case is shown

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in Figure Al-6.2 which is comparable in form and scale to Figure Al-3.2.

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Two additional cases were run to show the sensitivity of the results to the j

spatial distribution of the CEAs about the average.

Narrowing the scatter

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of the distribution will only force a " distributed" case to look more like

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the " window shade" case.

Therefore, the as-measured distribution was j

expanded twice to increase the time between the fastest and slowest CEA.

These cases used the same initial conditions as the first case.

l The " expanded distribution" case is presented in Figure Al-6.3.

If the average of the CEAs in a CEA bank was faster to the 90% insertion point than the average of all 83 full length CEAs, then all CEAs in that bank were set to the fastest CEA in that bank, and vice versa.

The four "minidual" CEAs were treated as if they were a separate bank from the remainder of Bank A.

The "further expanded distribution" case is presented in Figure Al-6.4.

The slowest CEAs in the previous HERMITE CEA input

(" expanded distribution" case, Figure Al-6.3) take 150 milliseconds longer to reach the 90% insertion point than the average of all CEAs.

Hence the input data of the " expanded distribution" case was further expanded in order to support a 3.2 second Technical Specification limit on the slowest CEA.

This additional I

adjustment took the form of multipliers (noted on Figure Al-6.4) on the CEA bank insertion at each HERMITE time point.

7.0 HERMITE RESUl.TS The results from all three sets of cases discussed in the previous section are presented in Figures Al-7.1, Al-7.2, and Al-7.3, respectively.

In each set, the " distributed" case provides the same time dependent reactivity insertion as the " window shade" case to within the input modeling and code uncertainties.

The results are presented as core power versus time instead of the usual reactivity versus time because the core power reduction is the effect of greatest interest in the safety analyses.

The center CEA in HERMITE used the actual full core center CEA measured data and the HERMITE CEA 21 in quarter core location 52 used the average of the two i

diagonally opposed CEAs in full core locations 91 and 127.

l Page Al-7

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from the results of the three sets of cases, it is concluded that, for the family of CEA drop time distributions that bound the WSES-3 as-measured distribution, Figure Al-3.2, a " distributed" case will provide the same core power reduction (negative reactivity insertion) as the " window shade" case.

8.0 BASIS FOR AVERAGE CEA DROP TIME Figure Al-8.1 presents the basis for the average CEA drop time Technical Specification.

The new safety analysis CEA position versus time curve used in Attachment A2 (for 3.0 seconds at 90% inserted) is shown as the solid line.

However, it is now a curve which bounds the arithmetic average drop time of all the CEAs rattier than a curve that bounds the individual drop times of all the CEAs.

For comparison purposes the as-measured average CEA drop time curve is also shown in Figure Al-8.1.

The 3D HERMITE space-time analyses presented in this report show that a

" distributed" case provides the same time dependent reactivity insertion as the " window shade" case.

This is true for any family of CEA distributions similar to those measured at WSES-3.

However, if the distance between the fastest and slowest CEAs becomes too large or the distribution of CEAs deviates significantly from that modeled in this study, then the average CEA position (" window shade") may not be representative of the time dependent reactivity insertion.

To ensure that the safety analyses remain valid for an average CEA drap time Technical Specification, a limit is placed on the CEA drop time distribution.

This will be expressed as a maximum drop time limit (of 3.2 seconds at 90% inserted) on the slowest CEA in the revised Technical Specification.

I 9.0 FUTURE SAFETY ANALYSES For future reload analyses (including the Cycle 4 analyses presented in Attachment A2), the safety analysis methodology will be unchanged from the present (Cycle 4) methods as discussed in Section 2.0 of this attachment except that the CEA drop time will be measured and characterized by the average of the full length CEAs, consistent with the revised Technical Specification.

Page Al-8

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.The 3D HERMITE methods were used to verify.the average CEA drop time concept.

That is, the time dependent reactivity insertion of a " window l

shade" scram at the average CEA drop time will provide the same reactivity q

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insertion as a more' realistic " distributed" case about the same. average.

Cycle specific reverification of this concept is not required as long as the fuel management and CEA drop time characteristics are not - significantly l

changed. That is, this analysis did not consider cores with axial blankets or cores' which. employed ultra-low leakage fuel management.

A (limited) l reverification of the average CEA drop time concept would be necessary if j

such changes were implemented.

Barring these type of changes or failure to meet the new Technical Specification limits, reverification of this average 1

CEA drop time analysis will not be required on a cycle-by-cycle basis.

Page Al-9

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10.0 REFERENCES

1.

" FIESTA A One Dimensional, Two Group - Space-Time Kinetics Code For l

Calculating PWR Scram Reactivities," CEN-122(F), November,'1979.

l 1

2.

"HERMITE A

Multi-Dimensional Space-Time Ki"etics Code for PWR Transients," CENPD-188-P-A, July 1976.

l.

I 3.

"The ROCS & DIT Computer Codes For Nuclear Design," CENPD-266-P-A, April 1983.

4.

"CEA Ejection Analysis," CENPD-190-P-A, July, 1976.

5.

" TORC Code A Computer Code for Determining the Thermal Margin of. a Reactor Core," CEhPD-161-P, July 1975.

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MIRI DUAL $ (R00$ [NTER TWO BOIE$)

NOT $YMMETRIC !h OUARTIR CORE Page Al-19

FIGURE Al-6.2 WSES-3 Average CEA Drop Time HERidlTE Input

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10 20 30 40 50 60 70 80 90 100 CEA Number Page Al-21

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WSES-3 Cycle 3 Measured CEA Drop Time Test Data i

i 1

i l

j

. '5 s. 8 8 97 7 7 8 8 8 S. 7 8 8 9 7 8 1 8 9 0 4 7 8 9 1 6 9 8 8 9 0 2 22 2 2 3 3 3 o

1 N

8 8 8 8 8 8 8 8 8 8 S S 8 7 8 5 3 t 0 8 7 5 3 1 9 8 0 4 2 0 8 7 5 3 1 0 7 5 3 1 9 7 5 3 9 9 9 9 9 9 9 0 9 9 S S 9 9 9 9 9S 9 8 8 8 8 8 7 7 7 7 7 7 9 8 6 8 6 5 5 5 5 5 4 4 4 AE C

[

4 8 8 7 8 77 7 7 8 9 8 7 8 8 9 4 8 0 9 9 0 2 8 8 9 901 1 3 6 8 0 8 8 7 7 7 7 7 7 5 5 4 o

1 N

S 8 8 8 8 8 8 8 8 8 8 8 8 7 8 5 3 2 9 8 7 5 3 1 97 8 4 2 0 8 6 4 2 0 8 6 4 2 0 8 6 4 A ' e9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 4 8 7 77 7 7 7 0 6 6 6 0 5 5 5 5 5 EC

. 3 9 9 8 9 8 8 8 8 9 9 9 8 9 8 8 1 8 9 3 8 0 1 1 4 8 9 9 1 2 6 8 9 1 1 1 1 1 1 2 3 2 3 o

1 N

8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 5 3 1 0 8 7 5 3 1 9 7 5 4 2 0 8 8 5 3 1 9 7 5 3 1 9 9 9 9 9 9 9 9 9 9 9 9 9 8 9 9 9 99 9 8 8 8 8 8 7 7 7 7 7 7 8 8 0 6 0 5 5 5 5 5 4 4 4 4 4 AEC

~

o2 8 8 7 8 7 7 7 7 8 8 8 7 8 7 8 8 1 8 9 7 9 9 1 8 8 9 1 8 8 8 9 0 2 6 7 8 9 9 9 1 0 1

w 9 7 5 4 2 A - 8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 5 3 1 0 8 6 5 3 1 9 8 8 4 2 0 9 7 5 3 1

5 5 5 5 5 5 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 7 7 7 7 7 6 6 0 6 6 EC

o. 1 8 8 7 8 7 7 7 7 8 8 8 7 8 5 5 0 4 7 9 2 5 7 7 9 1 2 4 6 7 8 9 0 1 2 2 1 1 5 7 4 0 0 1 9 9 1

N 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 1 9 8 8 4 2 0 9 7 5 3 1 0 7 8 4 2 0 8 6 4 1 0 8 6 4 9 9 9 9 9 9 9 9 9 9 9 9 9 99 9 9 9 8 8 8 8 8 0 7 7 7 7 7 9 6 8 6 6 8 5 5 5 5 5 4 4 4 4 AEC o0 9 9 8 9 8 8 8 8 9 8 9 5 9 8 3 0 1 N

9 0 9 9 8 9 9 9 0 9 9 9 8 7 8 5 3 15 9 1 1 3 3 5 8 9 0 1 1 1 1 2 3 3 4 3 4 3 3 4 1

9 8 6 4 2 0 8 6 5 3 1 9 7 5 3 1 5 5 5 5 5 4 9 7 5 3 1 9 7 5 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 9 8 6 6 6 A

E C

~.99 98 9 8 8 8 8 9 9 9 4 0 9 0 3 7 9 0 3 s. 0 0 1 4 7 9 0 9 0 0 1 2 1 2 0 1 1 0 1 o

N 8 8 8 8 8 8 8 8 8 8 9 8 8 8 8 4 2 0 0 7 5 4 2 0 8 6 4 3 0 0 7 5 3 1 0 7 5 3 1 9 7 4 3 0 8 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 6 6 8 6 5 5 5 5 5 4 4 4 4 4 3 A

EC L.

oS 9 9 8 9 8 S. 8 8 9 9 9 8 9 9 0 9 0 7 9 1 3 8 7 9 9 0 0 3 4 7 9 9 0 1 N ' 8 8 8 8 8 S 8 8 8 8 8 8 8 7 7 5 4 2 0 9 7 5 3 1 9 8 6 4 2 0 8 8 5 3 11 1 1 1 1 2 9 7 5 3 1 9 7 9 9 9 9 9 S 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 8 9 6 6 6 5 $ 5 5 5 4 4 4 4 4 A~

E C

o7 9 3 8 9 8 8 8 8 9 9 9 8 9 9 6 0 3 8 8 1 3 5 1 7 7 7 7 7 7 8 6 6 6 6 5 5 5 5 5 4 4 8 8 0 3 5 8 8 0 1 3 5 1

9 7 5 3 1 9

7 8 7 8 8 9 9 8 8 8 N - e 8 8 8 8 8 8 8 8 8 8 8 7 8 5 4 2 0 8 7 5 3 9 8 6 4 2 0 0 7 5 3 S 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 A

E C

o6 0 0 9 0 9 9 9 9 0 0 0 9 3 9 9 3 0 1 4 9 1 2 1 2 3 5 6 0 0 1 2 1 4 4 67 9 9 0 2 N

0 0 9 0 9 9 9 9 0 0 0 9 9 8 7 6 5 3 1

8 8 8 8 8 8 7 7 7 7 7 8 6 6 6 65 5 5 5 5 5 4 4 4 4 9 8 6 4 2 0 8 6 5 3 1 9 7 5 3 1

9 7 5 4 2 0 8 A

1 1

9 0 9 9 9 9 0 0 0 9 9 9 9 9 9 9 9 0 0 1

1 1 1 E

C o5 0 0 9 0 9 9 9 9 0 0 9 9 0 0 0 0 1 7 9 1 2 23 7 9 0 0 1 1 1 2 3 6 7 8 7 7 6 5 6 N

0 0 8 0 8 8 8 8 0 0 8 8 0 0 7 6 4 2 0 9 7 5 3 t 9 8 9 4 2 0 8 8 4 2 0 8 6 4 2 0 8 6 4 2 0 9 9 9 9 9 9 9 0 9 9 9 0 9 9 9 9 9 9 9 8 8 8 8 S 7 7 7 7 7 7 6 0 6 6 8 5 5 5 5 5 4 4 4 4 4 A

E C

A o4 9 9 8 9 8 8 8 8 9 9 9 9 0 9 0 0 5 9 9 2 6 0 9 0 2 7 9 0 1 3 7 9 0 1 1 1 4 6 7 9 T

N 8 8 8 8 8 8 8 8 8 8 8 8 8 8 8 4 2 0 8 7 5 4 1 0 8 84 3 1 9 7 5 4 2 0 8 6 4 2 0 8 7 5 3 A

9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 6 8 6 8 8 5 5 5 5 5 4 4 4 4 4 A

D E

W C

A R

L o3 9 9 8 9 8 4 8 8 9 9 9 8 7 9 7 2 4 7 8 0 2 4 4 8 7 8 9 2 2 3 4 4 8 6 6 5 5 4 4 4 N

8 8 8 8 8 8 8 8 8 8 8 8 7 8 5 4 2 0 8 7 5 3 1 9 7 5 3 2 0 8 8 4 2 0 8 6 4 2 0 8 6 4 2 9 7 9 2 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 7 77 77 7 8 0 6 6 6 5 5 5 5 $ 4 4 4 4 3 3 T

A S

E E

C T

E N

o28 9 8 9 8 8 8 8 9 9 9 8 9 9 0 7 02 8 1 2 34 8 0 0 1 4 7 8 0 0 2 2 2 1 1 1 1 2 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 5 4 2 0 9 7 5 3 1 0 8 9 4 2 0 9 7 5 3 1 0 7 5 3 1 8 6 4 2 0 T

N - 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 6 6 6 8 5 5 5 5 6 P

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N 7 7 7 S 7 7 7 7 0 8 0 7 7 5 5 3 9 8 6 4 3 0 9 7 5 3 2 9 0 8 4 2 0 8 6 4 2 0 8 6 4 2 0 8 C

9 9 9 S 9 9 9 9 9 9 9 9 9 9 9 9 1 8 8 0 8 8 8 7 77 7 7 8 8 6 6 6 9 5 5 5 5 5 4 9

A 3

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C LCYC E )s 0 9 0 0 0009 0 0 0 0 00 0 0 0 0000 0 0 00 0 9000 0 00 00000000 0 00 S o 5 0 5 0 5 0 5 0 8 0 8 0 8 0 9 0 8 0 8 09 05 0 9 0 8 0 5 0 5 9 5 0 5 0 5 0 5 0 5 1 1 2 2 3 3 4 4 5 5 9 8 7 7 9 8 9 9 0 0 3

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N e0 9 9 8 9 9 0 8 9 0 8 0 8 8 7 5 4 2 0 9 7 5 3 2 0 9 6 5 3 1 0 7 5 3 1 8 8 6 4 S 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 9 7 7 7 7 7 9 6 9 8 6 8 5 5 5 5 AEC

o. 8 3 3 23 2 2 2 2 3 3 3 2 3 2 3 9 3 5 3 4 8 4 3 4 0 2 3 4 4 5 7 9 3 4 4 3 4 4 4 6 3

N o8 0 8 9 9 9 9 9 9 9 8 8 8 7 5 4 2 1 S 8 8 8 8 8 7 7 7 7 7 8 6 8 6 8 8 6 5 5 5 5 4 4 4 S 7 6 4 2 1 9 7 5 3 1 9 7 8 4 2 0 8 6 4 2 0 8 S 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 AEC

'.7 2 22 2 1 2 2 2 3 2 2 1 2 2 3 2 4 1 3 0 3 4 6 2 2 3 5 0 2 2 3 3 5 6 7 7 7 8 8 8 6 o 3 N

o0 S S 5 9 9 9 8 99 t 9 8 7 64 3 1 0 8 6 4 3 1 M7 6 4 2 0 8 8 4 2 0 8 8 4 2 0 7

S 9 S S 9 9 9 9 9 9 0 S 9 9 9 9 9 9 9 9 8 0 8 8 8 7 7 7 7 8 8 6 8 9 5 5 5 5 5 4 4 4 AE C

o8 2 2 1 3 1 1 1 1 2 2 2 1 3 2 3 3 3 0 2 4 0 3 3 3 5 7 0 2 2 2 2 2 3 3 3 2 2 2 2 3 3

N oS 8 8 S 9 9 9 9 8 0 5 9 8 7 8 4 3 1 0 0 8 4 2 0 8 7 5 3 1 9 7 5 3 1 97 5 3 1 9 7 S S 9 9 S 9 9 9 9 9 9 9 0 9 9 9 9 9 9 3 8 8 8 8 8 7 77 7 7 9 8 0 8 6 5 5 5 5 5 4 4 4 4 4 AEC

.- 7 o

s. 8 7 8 7 7 7 7 8 8 8 7 8 5 0 1 5 9 2 6 8 1 2 3 5 7 8 9 0 0 0 1 2 3 3 1 1 2 2 4 2

M 8 8 8 8 8 8 8 8 8 8 8 8 8 7 8 5 3 1 0 S 6 5 3 1 9 7 5 3 2 0 0 6 4 2 0 8 6 4 2 0 8 6 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 S 8 8 8 8 7 7 7 7 7 7 8 8 6 8 0 5 5 5 5 5 4 4 4 4 4 AE C

o8 0 0 9 0 9 9 9 9 0 0 0 9 9 9 0 2 6 0 4 0 2 3 6 9 1 1 3 6 7 9 1 1 3 3 3 2 2 2 3 3 2

N 9 0 8 9 8 8 8 8 0 9 0 8 0 7 7 5 3 2 0 9 7 5 3 1 0 8 6 4 2 0 0 7 5 3 1 5 5 5 5 5 9 7 5 3 1 9 7 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 6 8 6 6 AEC

. 5 9 9 8 9 8 8 8 8 9 9 9 8 9 9 1 0 7 9 5 0 1 5 9 0 1 7 9 1 1 5 9 9 1 2 4 7 8 0 0 1 0 0 o

2 N

8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 8 4 2 1 0 8 8 4 3 1 7 7 7 7 7 7 0 6 8 881 5 $ 5 5 9 7 6 4 2 0 8 7 5 3 9 8 6 4 2 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 AEC

'. 4 o

8 8 7 8 77 7 7 8 8 8 7 8 8 9 7 8 5 8 0 4 9 9 0 5 8 8 9 9 0 2 5 7 8 0 0 9 9 9 0 9 9 8 4 2

- 3 2 N

x98 8 8 8 8 8 8 8 8 8 8 8 7 8 5 3 2 0 0 7 5 3 2 0 8 6 4 2 1 8 7 5 3 2 0 7 5 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 8 8 8 6 5 5 5 5 5 4 4 4 4 4 AEC

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. 3 5 5 4 5 4 4 4 4 5 5 5 4 6 8 6 8 2 6 1 6 0 4 S. 9 2 6 8 2 4 6 9 0 3 5 7 8 9 0 2 4 5 o

2 N

9 0 9 9 9 9 0 8 9 9 9 0 8 8 7 6 5 3 2 0 9 7 5 3 2 0 8 7 5 3 1 0 8 6 4 2 0 9 7 5 3 1 9 7 5 9 9 0 9 9 9 9 9 9 9 9 9 9 99 9 9 9 9 9 8 8 9 8 8 8 7 77 7 7 7 0 8 6 6 6 5 5 5 5 5 4 4 4 AEC 2 9 9 8 9 8 8 8 8 9 9 9 8 9 9 0 7 0 5 9 2 6 0 0 2 5 0 0 3 5 8 0 0 2 2 3 3 3 4 3 3 2 1 2 1 1 h2 8 8 8 8 8 8 8 8 8 8 8 8 8 7 7 5 4 2 0 9 7 6 4 2 0 9 7 5 3 1 0 8 8 4 2 0 8 6 4 2 0 8 6 4 2 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 7 6 8 6 6 8 5 5 5 5 5 4 4 4 4 AEC o

9 9 8 9 8 8 8 4 9 9 9 8 9 8 9 0 6 9 9 3 9 0 9 1 3 7 8 0 9 9 0 1 2 3 4 5 6 6 7 8 7 6 7

. 1 47 2

N O 8 8 0 8 8 3 8 8 8 8 8 7 8 5 4 2 0 8 7 5 4 1 0 8 6 4 3 0 8 7 5 3 1 9 7 6 3 1 s9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 8 7 7 7 7 7 8 6 6 8 6 5 5 5 5 5 4 4 4 4 4 AEC A

o0 9 9 8 9 8 8 8, 4 9 9 9 8 8 8 9 9 0 8 9 3 9 9 0 5 9 9 0 2 5 8 9 9 0 1 2 2 3 5 7 8 6 6 6 4 3 2

T N

9 9 9 0 0 9 0 0 9 9 0 0 0 8 7 8 5 3 1 0 8 6 5 3 1 7 7 7 7 7 7 8 6 6 6 6 5 5 5 5 1 9 8 6 4 2 0 8 7 5 3 1 9 7 5 3 A

9 9 9 9 9 9 0 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 8 8 8 A

D E

W C

AR o98 8 7 8 7 8 8 7 8 8 8 7 8 7 6 7 3 7 1 6 8 0 2 5 7 8 1 4 5 N

8 8 8 8 8 8 8 8 8 8 8 8 8 8 7 6 5 3 2 0 8 7 5 3 1 9 8 8 4-78 9 0 2 2 2 1 2 2 3 1

2 0 8 7 5 3 9 7 5 3 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 9 8 8 9 8 8 7 7 7 7 7 7 6 6 6 6 81 5 5 5 5 T

A S

E E

C T

E 8 9 9 8 9 8 8 8 8 9 9 9 8 9 7 9 6 9 2 5 8 9 1 3 4 5 6 7 0 1

0 7 5 3 1

7 6 5 4 4 4 2 0 W

o 77 7 7 8 0 1

T N

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