HomeMy WebLinkAbout20191018IRP Exhibit 3.pdflntermountain Gas Company
Historical Temperature Climate Report
lntegrated Resource Plan 20 I 9 - 2023
INTERMOUNTAI N'
CAS COMPANY
A Subsidiary of MDU Resources Group, lnc.
ln the Community to Serye@
Exhibit No. 3
Fal! 2019
Historical Temperature Climate Report
Prepared for
lntermountain Gas Company
May 9,2OL7
By RussellJ. Qualls, Ph.D., P.E.
Climate Consultant
Historical Temperature Climate Report
Prepared for lntermountain Gas Company
By Russell J. Qualls, Ph.D., P.E.
INTRODUCTION
This report provides estimates of design air temperature values that are likely to be equaled or
exceeded (in a "colder than" sense) in a year, with specified probabilities of occurrence and
with specified average return periods. The estimates are made for monthly and annual daily-
average temperatures, and for annual minimum daily average temperatures, at seven locations
in Southern ldaho used by lntermountain Gas Company (lGC) in its gas supply and storage
calculations. The estimated values are intended to assist IGC in developing its lntegrated
Resource Plan (lRP).
This report arose out of discussions with representatives of IGC regarding what information was
most needed for development of the lRPs, and provides an update to similar earlier reports
(Qualls, 2OO7; Molnau, L994). Each of these reports relied upon probability distributions
generated from historical temperature values measured at or near the seven Southern ldaho
IGC calculation locations, and included the Normal Distribution ("NORM"; symmetric bell-
shaped distribution) and the Pearson Type lll Distribution ("Plll"; a skewed distribution which
can represent asymmetric data and converges to the Normal distribution for symmetric data).
Selecting design temperatures from values generated by these probability distributions is
preferable over using individual observations, such as the coldest observed daily average
temperature, because exceedance probabilities corresponding to values obtained from the
probability distributions are known. This enables IGC to choose a design temperature, from
among a range of values, which corresponds to an exceedance probability that IGC considers
appropriate for the intended use.
Each successive report incorporates temperature data which occurred and was measured after
the completion of the earlier reports. ln addition, this report includes temperature data from
as much of the entire Period Of Record (POR) at each location as was deemed reliable. This
extends the data pool for each location backward in time, making each dataset much larger
(i.e., covering a longer time period) than in the preceding reports. This has some statistical
advantages. First, it allows one to assess with greater confidence how well a particular
distribution represents the observed data, and secondly, it generally narrows the range of
uncertainty associated with a given probabilistic temperature value. This report includes
additional analyses, not included in the earlier reports, which quantify the goodness-of-fit of
each probability distribution and the range of uncertainty of each estimated value. These
additional analyses include:
1.
1) Running hypothesis tests on each probability distribution fitted, to assess whether it
should be accepted as a good descriptor of the data (Chi-Squared Test)
2) Calculation of the 90% confidence interval for each probabilistic temperature estimate.
There is a 90% probability that the endpoints of the confidence interval, known as upper
and lower confidence limits, encompass the true probabilistic temperature value.
Further discussion of these additional analyses is provided in Appendix B
The contents of this report may be compared with lntermountain Gas Company's
lntegrated Resource Plan (lRP)to estimate probabilities associated with design values
presented there.
DATA
The data used in this report were either provided by Lori Blattner of lGC, or obtained directly
from the National Centers for Environmental lnformation (NCEI, formerly National Climate Data
Center, NCDC). The data consist of daily observed maximum and minimum temperatures,
and/or daily averages calculated as the mean of the daily maximum and minimum values.
Table l providesthe lGCZone lD, location name, and startingWaterYearforthe data. AWater
Year (WY) begins on October Lst, and ends on September 30th of the following year, and is
numbered by the year in which it ends. That is, the 1905 Water Year for Caldwell begins on
October L,7904 and ends on September 30, 1905. A Water Year groups all winter months of a
particular season together. The analysis for each station extends to the end of the 2015 Water
Year (September 30, 20L5).
Table 1: Weather Station Zones, Locations, and Starting Water Year (WY)
Zone lD Location Starting WY
350 Caldwell 1905
4s0 Boise L941.
500 Hailey 1909
600 Twin Falls 1906
700 Rexburg 1908
7so ldaho Falls 1949
800 Pocatello 1939
Most long-term weather stations include occasional changes such as instrument replacements
or changes, or station moves. The data used in this analysis span these changes. Some of these
changes have occurred in the past 30 years, so the Molnau (1994) and Qualls (2007) reports,
and the data currently used by IGC have some of these changes embedded in them, as would
the current analysis even if it was limited to the past 30 years.
2
RESULTS
For each IGC location, results calculated over the POR at each station from data aggregated at
the annual time scale are presented in this section, and results with greater detail including
monthly analyses and additional figures are presented in the appendices. "Annual" in this
report refers to a Water Year. Table 2 presents POR summaries and statistics of station data
and values of exceedance temperatures for annual mean daily average temperatures and
annual minimum daily average temperatures. Exceedance temperatures are presented for a
range of return periods (T=2,5, L0, 20,50 and L00 years) and their corresponding exceedance
probabilities, calculated byfitting both Normal (NORM)and PearsonType lll (Plll)distributions
to observed data from each IGC location.
POR summaries and statistics of the data are presented in the top third of Table 2. ln this
section, the statistics are calculated from the annual values at a given station over the number
of years available for that station. For the annual mean daily average temperature shown in
the left half of Table 2, the POR mean at each station ranges from a low value of 43 "F (Station
3
Table 2: Annual Station data and exceedance temperatures based on NORM and Plll Distributions ("F)
Annual Mean Daily Average Temperature Annual Minimum Daily Average Temperature
Station
Mean
Std Dev
Skew
Max
Min
No Years
350 450 s00 600 700 7so 800 3s0 450 s00 600 700 750 800
51
1,.6
o.2
55
48
Lt1.
52
1.5
0.0
56
48
75
43
1.6
0.3
49
39
707
49
1,.7
o.4
54
45
110
43
1.8
0.1
48
38
108
44
1.7
-0.4
48
39
67
10
9.7
-0.5
28
-18
1,1,1,
10
8.6
-0.6
24
-16
75
-1
7.2
-0.4
13
-23
1,07
6
8.4
-0.3
24
-15
1,10
-6
8.1
-0.2
15
-27
108
-5
7.8
-0.3
10
-23
67
0
8.0
-0.3
15
-18
77
T P Norm Distributed Exceedance Temperatures Norm Distributed Exceedance Temperatures
2 0.5 51
50
49
49
48
48
52
50
49
49
48
48
43
42
4t
4L
40
40
49
47
47
46
45
45
43
41,
40
40
39
38
44
43
42
47
41
40
47
46
45
44
44
44
10
t
-3
-6
-10
-13
10
3
-1
-4
-8
-10
-t
-7
-10
-13
-16
-18
6
-1.
-4
-7
-1.1.
-13
-6
-13
-16
-19
-23
-25
-5
-1.1
-15
-18
-21,
-23
0
-7
-10
-13
-1,6
-19
5 0.2
10 0.1
20 0.05
50 0.02
L00 0.01
T P Plll Distributed Exceedance Temperatures Plll Distributed Exceedance Temperatures
2 0.5 51
50
49
49
48
48
52
50
49
49
48
48
43
42
47
4t
40
40
49
47
47
46
46
45
43
4L
40
40
39
39
44
43
42
41.
40
40
47
46
45
44
44
43
10
2
-3
-8
-13
-16
11,
3
-1,
-5
-10
-L4
-1,
-7
-1,1,
-1.4
-17
-20
7
-7
-5
-8
-12
-15
-6
-13
-t7
-20
-23
-26
-4
-11,
-15
-18
-22
-25
0
-7
-10
-1.4
-17
-20
5 o.2
L0 0.1
20 0.05
50 0.02
100 0.01
47
1.4
-0.1
50
43
77
700) to high value of 52 'F (Station 450) across the different locations. This is shown in the first
row below the station number, labeled "Mean". ln the second row below the station number,
the relatively small standard deviation shows that the collection of annual mean temperatures
do not spread out very far around the POR mean at each station. This can also be seen in the
relatively small difference between the Max and Min values in the fourth and fifth rows below
the station numbers, which represent the largest and smallest annual mean daily average
temperature for each station. The Max and Min values differ by no more than 10'F at any of
the stations.
Because the spread of the annual mean daily average temperatures is small at each station, the
exceedance temperatures for different return periods also fall within a fairly narrow range, as
shownforthenormaldistributioninthelefthalf of themiddlethirdof Table2. For example,at
station 350, the two-year return period exceedance temperature is 5L 'F and the L00-year
return period exceedance temperature is only 3 'F colder at 48 "F. Furthermore, the asymmetry
is small as shown by the small value of the skew coefficients for the annual mean daily average
temperatures, in the third row below the stations numbers in Table 2. As a result, the Plll
distribution nearly converges to the normal distribution and in most cases they give the same
result for each return period (e.g., the 100-year return period event is the same or only slightly
different between the NORM and Plll distributions for a given station; compare left half of
middle and lower thirds of Table 2).
ln addition, the small spread of the annual mean daily average temperatures indicates that the
calculated exceedance values can be accepted with high certainty. Ninety percent confidence
intervals have been calculated for the different return period exceedance temperatures at each
station and for both the Norm and Plll distributions. Upper and lower Confidence Limits (CL
values) are given in tables in Appendix A. For the annual mean daily average temperatures,
Figure 1 shows the values of the 100-year exceedance temperature and their upper and lower
CLs for the NORM and Plll distributions at each station.
The range of the CLs around the 100-year return period value at each station is small, less than
1 'F at most stations, and the results are similar between the Norm and Plll distributions for a
given station. The CLs are even smaller for exceedance temperatures with shorter return
periods than 100 years. Thus, the exceedance temperatures for the annual mean daily
temperatures given in Table 2 can be accepted with a high degree of confidence. The annual
minimum daily average temperatures, summarized in the right half of Table 2, have a much
higher degree of variability. This is expected because these data and statistics come from the
single lowest daily average temperature observation from each year, in contrast to the annual
mean daily average temperatures discussed above which are comprised of the mean of a full
year's worth of daily values. Averaging, as in the case of the annual mean temperatures,
4
centralizes the results and reduces variability. The difference between the behavior of the
annual minimum and annual meon daily average temperatures is clearly visible in the time
series plots of each of these variables for each station shown in Appendix A. The upper line is
the annual mean and the lower line is the annual minimum over the POR for a given station.
The greater variability of the annual minimums is readily apparent.
Summary statistics for the annual minimum daily average temperatures given in the left half of
Table 2 reflect itsgreatervariability. The standard deviation of the annual minimums is much
larger than that for the annual means, and many of the stations exhibit large negative skew.
The large standard deviation indicates that the uncertainty of the exceedance values of annual
minimum temperatures is larger than it was for the annual mean temperatures, consequently
therangeoftheconfidencelimitsfortheminimumtemperaturesismuchwider. Thisisshown
in Figure 2 forthe 100-year return period minimum temperatures, where the CLs span a range
from 3.5 to nearly 7 "F. The large negative skew suggests that the Plll distribution should
provide a more realistic estimate of the minimum annual daily average exceedance
temperatures than would the NORM distribution. Results of Chi-Square tests of the "goodness-
of-fit" of the NORM and Plll distributions for each station generally confirm this as discussed in
Appendix B.
For the T-year return period exceedance values of annual minimum daily average temperature,
the Plll distribution provides better estimates than the NORM distribution, and the true values
5
Figure 1. 100-Year Annual Mean Daily Average Temperature
o
o
l
(!
o
CL
Eo
50.0
48.0
46.O
44.0
42.O
40.0
38.0
36.0
r
Norm Pilt Norm Pilt Norm Pilt Norm Pilt Norm Pilt Norm Pilt Norm Pilt
- Upper CL
- Lower CL
. T-Yr Temp
350 450 500 600 700 750 800
Station and Probability Distribution
Figure 2. 100-Year Annual Minimum Daily Average Temperature
-5.0
l!o
o
JP(!
o
CL
E
@F
-10.0
-15.0
-20.0
-25.0
-30.0
- Upper CL
- Lower CL
. T-Yr Temp
z
3 =
zo
3
-0
=
zoa3
!zo-3 =
zoa3 =
zo
3 =
zo
3 =
350 450 500 600 700 750 800
Station and Probability Distribution
of the exceedance temperatures could be several degrees larger or smaller than the values
provided in Table 2 owing to the inherent uncertainty of this variable.
Although estimated annual Tavg exceedance temperatures are very similar between the Norm
and Plll distribution, for monthly Tavg and annual minTavg exceedance temperatures there are
a number of cases where the Plll distribution represents the data better than does the Norm
distribution and where the exceedance temperatures and confidence limits differ between the
two distributions. For this reason, to simplify the selection process, it is recommended that the
Plll exceedance temperatures be used in general. Where both distributions provide similar
results itdoesn't matter, and wheretheydiffer, Plll is usually more representative of the data.
Routinely using the Plll values will avoid accidentally using the Norm exceedance temperatures
when they are not representative of the observations. Further explanation is provided in
Appendix B.
Multi-Year Time Horizon Probabilities
Probabilities of equaling or exceeding an event at least once during a multi-year period can be
calculated based on the return period, T. Average Return Period T and annual exceedance
probability have a reciprocal relationship, P=LfT. The exceedance probabilities, P, correspond
to the likelihood of observing temperatures less than or equal to the indicated value in any
single yeor.ln order to apply these numbers over a multi-year time horizon, one should
6
calculate the probability Pr that the temperature will be less than the specified threshold at
least once during the J-year period. P1 ma! be calculated as Pr = (1-(1-P)r). Values of Pr for J
equal to 5, L0, and 15 years are given in Table 3.
The single-year exceedance probability of 0.033 which appears in the third row up from the
bottom is the approximate exceedance probability corresponding to using the coldest day
observed in a T=thirty year period as the peak design day. Thus, the likelihood that a
temperature colder than the 0.033 or 3.3% exceedance temperature will be observed at least
once in the next five years is 0.L6 or 7-6%o, as shown in the S-year (J=5) column . Similarly, there
is only a 5% chance of having a temperature occur at least once that is colder than the P=0.01-
exceedance temperature (i.e., the T=100 year event) within the a 5-year span.
SUMMARY
T-year exceedance temperature values for monthly and annual daily average Temperatures
(Tavg) and annual minimum daily average temperatures (minTavg) have been estimated for
seven stations across Southern ldaho by fitting Normal and Plll distributions to long-term
observations from the stations. Results for annualTavg and minTavg are presented in Table 2
and Figures L and 2 above and in AppendixA, which also includes resultsfor monthlyTavg.
For annual Tavg exceedance temperatures, results are similar between the Norm and Plll
distribution estimates. For monthlyTavg and annual minTavg, results are often substantially
different owing primarily to skew in the distribution of the data so that the Plll distribution
provides a superior estimate of exceedance temperatures. The 12 (Chi-Squared) test applied to
the results generally confirms that Plll is as good as or better than the Norm distribution.
Because Plll usually provides a better estimate when results differ between the Norm and Plll
distributions, it is recommended to use the Plll results from this report. When the Norm and
7
Table 3. Multi-Year Exceedance Probabilities corresponding to different time horizons (J=5,
L0, and 15 years)for different values of single-year exceedance probability.
Single-Year Multi-Year Exceedance Probabilities, PJ
T P J=5 J=10 J=15
2
5
10
20
30
50
100
0.5
0.2
0.1
0.05
0.033
0.02
0.01
o.97
o.67
o.4l
o.23
0.16
0.10
0.05
0.999
0.89
0.6s
0.40
0.29
0.18
0.10
0.99997
0.96
o.79
0.54
0.40
o.26
o.1,4
Plll estimates are similar, this produces no negative consequences. However, when they differ,
routinely using the Plll results avoids accidentally using the less accurate results from the Norm
distribution.
A measure of uncertainty of the exceedance temperatures is given by 90% confidence limits in
Table 2 and Figures 7 and 2 above, and in tables given for each station in Appendix A.
8
REFERENCES CITED
Benjamin, J.R. and C.A. Cornell, Probobility, Statistics ond Decision, for Civil Engineers, McGraw-
Hill, New York, 1970.
Devore, J.L., Probobility and Statistics for Engineering ond the Sciences,znd Ed., Brooks/Cole,
Monterey, CA, 1987.
Haan, C.T., Stotistical Methods in Hydrology,lowa State University Press, Ames, lowa, L977 .
lnteragency Advisory Committee on Water Data (now combined into Advisory Committee on
Water lnformation), Guidelines for determining flood flow frequency, Bulletin L7B,
http ://water. uses.sov/osw/bu I leti n 1-7 b/bu I letin 17 B. htm l. 1981.
Lapin, 1.1., Probability and Statistics for Modern Engineering, Brooks/Cole, Monterey, CA, 1983.
Pearson, E.S. and H.O. Hartley (eds.), The Biometrica Tables for Statisticians, vol. 1, 3'd ed.,
Biometrica, 1966.
9
Chow, V.T., D.R. Maidment, and L. W. Mays, Applied Hydrology, McGraw-Hill, 1-988.
Appendix A
Detailed Station Results
Detailed data and statistics for each station are presented in both tabular and graphic form in
this appendix. lnformation for each station is grouped together on a series of four pages in
order of station number. Each page lists the station number and name at the top. The first
page for each station lists the starting and ending water year, followed by a table similar to the
top one-third of Table 2 in the main body of the report, except that it contains data for one
station only, and contains monthly results for the mean daily average temperature, in addition
to annual results. ln these pages Tr* refers to the monthly or annual mean daily average
temperature; minTr* refers to annual minimum daily average temperature. The results in the
last two columns are identical to those in Table 2 for the respective station. The left figure
shows time series over the period of record (POR) of annual values of T.,, and minT.,r. These
time series plots illustrate how the data vary from year to year throughout the period of record,
and the difference in variability between T.,* and minT.,r. The two figures on the right present
the annual data sorted by magnitude for T.u, (upper) and minT.,g (lower).
The second and third pages for each station give tables of exceedance temperatures and Upper
and Lower Confidence Limits (CLs)for the Norm and Plll distributions, respectively. As in the
tables at the top of the first page for each station, monthly and annualvalues are included for
Trrr, and annual values for minTrur. The exceedance temperature values for annualT.u, and
minT.,, given in these tables are the same as those given in Table 2 in the main body of this
report.
The fourth page for each station shows the exceedance temperatures and CLs graphically for
annual values of T.r, and minTr* for the Norm and Plll distributions. Each graph presents
results for the full range of return periods analyzed in this report, that is, 2,5,70,20, 50 and
100 years. Each left/right pair of figures can be compared to see the influence of fitting a
Normal versus Plll distribution to the data. T.u, is presented in the top pair of figures, and
minT.r, is presented in the bottom pair.
Weather Station Zones, Locations, and Starting Water Year (WY)
Zone lD Location Starting WY
350 Caldwell 1905
450 Boise 1947
s00 Hailey 1909
600 Twin Falls 1906
700 Rexburg 1908
750 ldaho Falls L949
800 Pocatello 1939
10
=(!
=trc(U
bo
(E
.=
E
E'ototn
rlrl
F-{
FIo
FI
rlOl
FI@
r.lr\
rir.o
Fil,)
F-lst
F-{co
F-{N
r-lFI
rl
oooooooo.)NFtc{N(n tt
(3") arnleradual
=(U
=trc(E
u0
(E
T'o
ottl
F{rlr-i
F{or{
FlOl
F{@
rlN
rl(o
Flu')
Fl<f
ri(o
FlN
rlr.{
Fl
(ostNo@(ornlJ)rnrnsfst
(1.) arnleradual
bo
(I,F
.=
E
6fcc xiBRr=
lho
PoLo
CL
Eg
(u
=ctr
o3
=IU(J
(!o
ooooooo(OtnstrnNFl
(1")arnleradual
oooF{ N (nrtt
oNoN
oOoN
ho
(oF
.=
E
I
I
bo
(uF
I
-f>a
I-rr--
5 rafi
I
-rra--ie-'
rs.
ostOlrq-r{.FIE
I
iFrE
il_rl
E{-{'o
LL
bo
(DF
(o
fcc
(\,t ,^ cD (r) ot r-j:nuir-JLnroLnslrl
o-oVI
oo
=
=
cf
(E
Lo-
(E
.ctou-
c(I,
ooo
oz
P(Jo
N^e{NslF{
c{-itloutFl(or"or\rnH
N-NOtel-tirBss=
dlr-An\qX.i;33=
sl ^' ln cn f) -tB;:RB=
Qc.r\no9-r6-,iY(od11Ln"'o(o|J)-
O^dOr(O-ril;:ns=
,o^cloOt:-rs:.i;ss=
\.nR94.t3+?SR=
tlHsE=
olr-f\4-r3+"+S=
n.rHc?qng"iCSR=
e,n9uldl .ril.iEEs=
G
-g!EE }X Uo(uo(o.=-a>>5;>>c
=o3'o
(I,UorJ)
cO
;
.9P(D
.tl
rf)rloN
i,n
.EECt!
r.r)oO)rl
onc
L(uPtt',
t
=rhL(!o
LoPo
=
E
E
J
ooco!5CoU
Lo3oJ
boE
(uLFCC<
E
4n4n4c'l@o<l@Ntnll-lrl tt
bo
(,F
(DfCc
e\caq(.1rlO)@OONNlnsfstststsf
o.ottl
ooa
=
c
=
(u
Lo-
g(U
-oOJLL
c(I,
(,,oo
oz
P(Jo
a.!oq\n4Fto)N(otr..lst(O lr.) l, Ln U) Ln
ncq'JlqnrlooN(DrostN(.o(O(OrOr.()
q\nn.!nsfrrootoor\Nf\F\(.or.otO
nc'')oqqnc!(ocndooroo(o(o(o(otJ1tn
4\c!qqe@lJrslmdorJ) rJ) |J) l4 rn rn
qqqulncf!o00(oul+rnlJt sl sl sl sf t
.!\cr')o\|cqmOO)oOr.or.osl sl cn cn cn cn
c!ac!nnnlJ1rlCDNtnsf,CNCONNNN
lrlqq\olq
oOcnOcp(osfNNNrlFlrl
cOC\ONrl 6dd+^i cicrj(nc{c{NNrl
\ o) t r.! oq o')
@lJ)slcOF{Oco co rn rn rn an
NrJ)cotcn|,)oodr.dJ;+uttsrsfsfsl
-oo
o-
o-4qn883oooooo
6LL(l,'o N'",3RBE
E
E
J
o(Jc
OJEGco(J
Loo-o-l
ooE
(oCFCc<.E
oo@co(omooo6i -i+oddr-lrrrrl
bD
(oF
t:,cC
nn4qao':rrOO)@ooNt/)loslsfsfst
o-qJ
1h
oof
=
Cf
(o
Lo-
L(I,
-ooII
cc,
()oo
oz
P(Jo
4noqoq\o':NO0Of\(Otf)(o(ot,)tntnlJ)
n\lJ]94\No.)oof\(Otnf\lo(O(O(Or.o
N\r(nststN+c.i -ido;odf\ f\ f\ f\ (.o (.o
qcloloqu'! \(oslc!FlOOt(o ro ro (o (^o tf)
cflqcr'!qqno)(olnsfrnN|f)t/.lt/)Ln|J)tn
c'lqqqn\
rl 0O N t.o lJ) sflJ.)st+stslsf
q4ac,lc!n
cOr-rOOl@Nstststcocnm
d]4\nnc!(0Noolr\(ocnCY]cnNNN
qc!qq\clo)l,nNoooNNNNNrlrl
ulqqqc!qrl N |J) sf c.,l rl(Yl Gl (\ (\ C! C\l
ne4nrlO)(.otnsfcnNco co co co rD cn
cnNNm(or\.idodF-d'rir,)sf+sstst
rioLCL
o-4ctn383oooood
6LLG',o N',,3R3E
6o
fP(o
L(I,,o-
E
0)Fo(Jc(oEo(l,,uxLLI
b0
(oF
.=
E
(ofCc
(otn@coNor
o)rlNtooNll-lrl tt
uo
(EF
(ofCc
..{olc!qeq
r-rO)O)@@f\Lntsl$stsl
o-ov\
bof
=
cf
(o
Lo-
L(I,
-ooLL
c(I,
(J
0)o
oz
P(Jo
c!\nn?ncY'!c!ot@r\toLn(ol/)tnrntr)tf)
\o?nnqnr{o)@r\tnlJ)f\ (O (O t.o (O (.o
cY'lnqqoqn
sfNOO|@@NNf\t.o(O(.o
qoqnc!qq(.omNFrOlOl(o(o(o(otf)tf)
qc!oqqctln
0O(DslmN-lrf) rJ) rn rn lf) lJ.)
q4nnoqqr-r@N(oststl,sfslsfsfst
(Orl@@(O@ff;.jdcdr-dsr sl cn cf) ro co
\ q q cY'! u') ct'l
rf)rlO@(oLn(n(ncoNNN
.tnqqqqOlstFro)f\(OC!NNrlrlr-l
o') o) o) c! c! qOtO<lcorlc>TONNNNN
nqqqq\Or (O Ln cr.) N r-lco co cn cn (n (o
qcoqcec',1
F{ 0O f\ (O tn lntntslslsl+
Eeg€
lrj i
,1qn383oooocjo
6LL(o'(l,N'N3R3E
zotrfcoaFano
J
E.oz
=o3t
(uUornrn
c
.9P(uPth
.=
E
=oUCo!iEcoU
Lo
=oJ
ODE
(!cFCc<.E
cqnc'iqqoootno|fl0lrlriNttl
bo
(!F
(ofCc
qqqcfl\c'')
Oo@@f\f\l,)stststslsl
oot1
oof
=
Ea
(I,
Lo-
L(I,
-oou-
E(I,
(Joo
oz
P(Jo
qnoq\ulqdqtF\(otJ)+(olnrnu.) lJ)u)
noqq\\qr{@N(Ol, lnN(Or.o(o(O(o
ol4cle!q.!cndootoor\NF\N(o(O(o
\neoqenlJ)rnrlOO)Ol(o(oro(ot4tn
c,lqnoqul U]
@ro+NFIOrnrnrn|rl|f)tn
noq44c']4Of\(olJ)slcotr)slsfslsfsf
c!qnq44cnOortf\(.otnsrtcocncoco
qdl\.!c'{ntJ)r-f@rOCnrlCOCNNNNN
q I cY'! n oq c{':
@cOONmrlN(\lNrl-lrl
\cr')4qe'J.:O(ocor{NrnrOC!r!NFlr{
\q.!\qoqooLnslNrlolmcncncoroN
(otcococo(od od ''. ,.d ,ri +|/)sfstsfslsf
-cioLoc 4qn333oooodcj
tnLL(6'o)N,,,3R3E
E
E
=o(Jco!IcoU
L
OJo-o-
=
ooE
6gCFEC<
E
qnc!cr:nn
Ncn-lLOOrOFllrFlFi tt
bo
(,F
EfcC
nc!9n4c.{rroo)ot00@rf) tf) sl sf sf sf
o-ott,
bof
=
cf
(D
o-
(U
-ooLL
C(D
(J
o.)o
oz
PQo
4c!qnn4NOOI@f\(o(o(oLnrf)!nrn
qoqoqqc!q
NOt@00N(OF(o(o(O(O(0
\4n440)slN-lOOtOOf\Nf\f\(]o(O
\ o1 o,l c'l q o')(o$cONrlO(o (.o (o ro (o (o
c'l\nn.!4
ot(olJ)sfcnNrJ) 1-r.) Ln U) U) LO
c''!qoqqqcrl
FlooN(OlnLnl, sf sf <t <f sl
nqnc,':ncf)slrlOotOOFtstsl'mmcn
eq9qnc'lf\cnO@(oslcrlmcnNNN
\9oqc!cYlc?OlnNONrJ)Cn (\ (\ (\ rl ri
nqqneqN@|J)cOOoOTnNNNN-l
\q4c'.loqo)orNLnslNrlco co ro cn co cn
cqctlctlU.)\n
rl OtoOf\(o(Olnsfsfsl'st$
doLo-
o_4.in383oooooCj
0LL(I,'(I,)N,n3R3g
thoLfP(E
L
OJo-
EoFo(Jc(EE
OJo(JxLU
oo
(I,F
.E
E
(o:,cC
noqnul\qOrlCOf\N(.orlllrlrl tl
oo
(,F
6fcc
clo)c.{\noq
F{OlOr@@f\|J)sf+tsf+
o-oCI
b!
=
=
Cf
(U
o-
g
(o
-o(uLL
c(o
(Joo
oz
P(Jo
nqnuln\NO)@N(Ol.rl(otnrnLntr|f)
qrYlc!nulc
r{ o.l OO f\ (O tON(O(o(Or.o(o
an r-t Ol O) O) rl+6ic;oiddf\Nf\(.o(o(.o
Nf\rnr.of\Fldcdc.i.ic;ci(o(o(o(o(o(o
oqc!oq\nq
0OtrlDsfcONFlr.r)rJ)tnl,)|J)ln
qnc.i c!cl 4oooNr.olJ)sfu1 sf sf sl sf <f
(.orlOOf\sltnd;-ioidF-dsfslmcncnm
ac!\40qe(.oNOrf\slNcnroc!NNN
oq\\qeUl
OtsfFlO)lJ)mNNNr{rlrl
ulnqc'.lnn
rrf\sfNOlf\m(rlNNdr-r
NLnOr(oOO)d,.ci+cr;c.i cicococnrnmcn
qo':oqqn4
dOOf\Nr.olOlr''t sf sf t sl sl
Eeg€
uJi
4ctn383oooddo
thLl- ft,'o)c{,n3R3E
zotrf
coaFU\o
o-
=o3E
(I,()
orr)m
;
.oP(oPtt)
ooFI
oLN
v,
Go
=,o
oc)qr{E
f
oG,
r.r)
N
I
ln o lJ) 0 ln o tJ.} o !nHd'fflf
I
),,,
(1.) alnleradural
,t,,
,,t
JL)
Lo3oJ
I
I
,
I(!F
.=
EI
I
JU
Loo-o-f,
It
I
Eo
otJc(ET'oo(,xtu
ouo(!
o
3oo
E
=E
Jtr
E
=Etr
E r
I,/,
{
,(
ooFl
orn
(!oo.}Nl-
t,o
Lo,-o.
=trfPoG,
rn
N
(osf
f
t
FlOo)oof\rJ) Lo st sl sl
(1-) arnleradual
t
,t,
),,
,,t
JU
Lo3oJI
I
,t
v(EF
+
,tt
JU
oo-o-:)
Ii
I
Nrn
Fo(,tr(!
TIoo(JxlrJ
oh0t!
o
-='6o
E
=Etr
E
,t
r
,I
I
I
ooFl
orn
6
(Ea0JX}
1'o
L
-oc2 0-
tr
J
oG,
tJ)
I
tJ)orJ)ornoLnou')F{Fr,in1\n
,
,,,
,,,
,,
J{J
L
Q,}3oJ
I
I
v(oFC.E
+
J(J
oo-o-f
It
Ioo0IE
o
(ra>EEEagEg
CE
=g.E'o
=EE.g
:oI'it!
ELoz N
(1.) arnleradural
oorl
orJ)
6
(!o
-F
tto
Lo^o-:tr
JP0,G,
l,
I
NF-lOOr0Ot\tOrnrnlJ)stsfsfsl
(1.) arnleradutal
tt
,,,
,,
J(J
Lc,
=oJ
I
I
,,
v(Et-
+
,,
JU
L
!?
IoE0ooo(u=>P<g>.o=o.4s(uF
=oEscE<.3
EEE(,LXO u.,rz
c\
=o
BE
(oUolnrn
E
.9PoPVI
oood)NFl ooFtN
(1.) arnleradual
(u
=trtr(!
u0
Pc.E
E'otoln
r{r\
rl(o
rlrj'.l
r{st
F{(n
F{N
rl
F{
Fl
=lu
ctrG
bo
F.E'
o
ortl
(o<lNooo(orJ.) Ln ln rn \t sf
(1.) arnleradual
bo
(I,F
.E
E
(!fcc E;8fr+R
l!
bo
(I,F
(!
fcc ;:8fr3n
o-ot\
oo3
=
Ef
(U
Lo-
L(I,
-oOJu-
c(o
(Joo
oz
P(Jo
9o9t'l '1 -0o *i': st N r\rn "'O (.o tn
a.nSn.l-SdQFH'-
dloH\c!-cn-.:Y00FxNt"oF(o
'1orP'19-Rd;s3*
.-1 cn9ol"?-(o -.: "i u) or NrO ,', O f\ U,)
9mPQQ-S"j;3S'-
$;;[fin
nmFQ"'l ..nSoe$R^
\m*Q.')-RdQ$3*
n.nSnP-E+iSS-
9rnBQ9.ngdgSR*
d] oP09'1 -il-;;BS'-
GL!-c E Bx -Uoooo.=-i>>;;>> E
tao
=P(ELo
CL
Eg
(u
tr
=
o.9oo
L(!o
oooooor.O lJ) st (n N rl
(1.) arnleradutal
o oFl oN
oNoN
bo
(oF
.E
E
I
oooN
I(EF
I
-l
F
j->.o_@O)-{|-
2
.<.-.<
5
rO
=g_(oOlFl
I
a-
o6'o
coorJ)st
co.F
(!P(t,
rf)
FloN
bi
.EEcLIJ
Flsl'Orrl
obc
(!Ptt,
t
=tnL(D
(U
LoP(o
=
E
E
=OJ(JE
OJE.ECoU
Lo3o
-t
bDE
(I,LFCc<.E
oq(.!oqnn\
0Or-lc!LDONllrlrl
oo
(I,F
(!fcc
cflqn4\c.lrlOrOr@Nf\tnsfsfsfslsf
o-(l,
U\
oof
=
cf
G'
Lo
Lro
-oOJLL
c(o
(Joo
oz
P(Jo
nn\noqoqrno@Nlnsf(o (o ln lJ) rn u1
aojoqqc''!nNO@f\(gtf)f\f\(o(o(O(o
qeo?q4q
slrlOO)F(of\NN(otO(O
qe.!o)'J.)4lnNrlO)@N(o(o(otnlf)|fl
qol 4c,?qnf\sfcnNdOlnl.r)lr)rr)tnlJ)
ct\nqqno) (o rfl sl co Nsl sl sf sf sf sl
cflUlqoqn4NOt00(or/)sl$rnrncnrncn
nqqqq\lJ'! rl O) f\ (o stCOCONNNN
oq\cqqc'l@rno@(ostNNNr-lrlr-l
\oq\o')o)4O'.osfc!OOrcONNNNTI
n q c,'l o-r oe crlo)(ostNrlOmcoro(ncoco
oqnoqqc"lnrlOlN(OlJ)sf!n$sfsfstsf
do
o-
o-,1e!n383oooocjo
rh
(o(uh N',,3R3E
v
E'=
o()CoE
co(J
(uo-o-l
boE
iEcFEc<
E
coNtocnrnI\-i+dc.idF-rlrrr
bo
(oF
(ofcc
oqneryqc!r-rOO)Or@@t/.l|f)sfslsfsf
o-oln
bD
=
=
Ef
(o
Lo-
(o
-oOJIt
Cfi,
(Joo
oz
P(Jo
sf(OFIO(.o@+.iddF-d(o (.o ro r/) lJ) rJ)
\ctqqqnmdoo)r\r\Nf\f\(O(oto
qqq'J)c!n
|f)Nr-lOo)@f\f\F-f\(o(o
qol 4nnn(o cr') c! rl o ot(o(o(o(o(otft
nq\\qqoo(o+(nNFlrnlJ)u)rnlj,lrf)
e\4q'40qoF(otnslcnr/)sttstsfsl
NLOCncOrlcncr;doiodr-dsl sl rn ro cn cn
\nnqc?c!(omdo)cor\comcnNNN
q\c,':anq
O|J)rnr-lOtf\CnNNNT-lrl
qc'lulolc!nN@(.ostcnNCONNNNN
dNr\rnNcnci r- ,i + cr; Gi<fcnmcnmcr)
\qqqqnNOOt@(Or.oLo rf) st sl sf sf
!o-oLo-
q.in383ooodcjo
t,L
LG''(I,,\.n3R3E
t^oLf
(!Loo-
E(uFo(J
C(!Eoo(JxLIJ
oo
(oF.c
E
(o
=cq
riooOr{(OOoc.i-i+F-cirl rrrt-l
I
bo
(DF
(o
=EE
u'lqnolc!\
rrOOt@oOf\|J)tnslslsfsl
o-ott)
oof
=
Cf
(E
Lo-
L(E
-oot-L-
C(,
uoo
oz
(Jo
o'!q4.!oqo)
mHO'!OOrOln(o(otJ)rn|f)l,l
c?oqnnncYlmoqlooNroNN(0(or.o(o
nnqe4ql-rl N rl O) OO f\NNr\(o(oto
nnq\q4t.ocnFlOO)@(o(o(o(otnlf)
q4.!nqn
oOlJ)slanrlrllr)|J)u1 |r)lJ).n
qqqqeqOrf\(oln(Ocnt<ft+sfsf
oqn\qan
NO@N(Olr'lstscocncnan
nn4qcln(oNOOIN(OromcnNNN
\ec!n\notslNoN(oC!NNNrlrl
nqqqc!cr-lNlJ)$NOCONNNNC\l
qqnocnn
Ol(Ot,1cONrl(n cn co cn cfl (n
d]oq4nnoeNc|TOOF(Or/)lflt$slsfsf
ta(I).i9FrJ.l i
4ctn383oooodo
rnLt-(o'(I,N'.n3R3E
zoFl
coaFtJ1a
J
Eoz
o.9ocoorJ)sf
CoFG'PVI
P
E
=o(JcoE
goU
L
OJ
=oJ
boE(ocFCc<
E
ac.!olulnno)rrmoosf@llelrl
tl
oo
(I,F
(o
=Cc
c!oqqcrlulqr{o)or@r\FrJ) sf sf sl sf sr
o-
G,tt)
bof
-
c3
(U
Lo
L(U
-ooLL
cfi,
(.,oo
oz
P(,)o
cq.!qqc'ln
cnOoOf\lJ)sl(o(oLnl,)|f)|/)
\qqnenNoor\(olrlf\f\(Jo(]o(Olr]o
tqnoqn4sfFlO0ON(oFf\f\(o(o(O
c''! 4nqoqqlnNdo@@(oro(o(otf)tn
nenqolnf\stcONOOLr)lnlnrJ)tntn
q4c'lnoqqo)(orr)\rNNsr sf st st sf <f
o.lnoqlf!olo)
NOlf\(osl'cO$ cn cn co cn cr)
f\NrlN@@rr;.idtodi-iCOTNNNNN
cl\.!qqnOTcOOF\rnONNN-lrlrl
ul.!nnnn
r{f\slrfNsfCnNNNrlr-{
cflqolq\n
O)(.ocnNOl@corncocoNN
\qqnc!c{'lrl O) N rO ltl sfl/)srsr$sl$
-oooL
CL
4..!n388oooodc;
6LL(o'(u N'",3R3E
.g
E
J
o(JcoE'
Lo(J
Loo-o-:)
boE
i!cFCc<
E
qq\n4\NrnOrnf\Orl I I rlI
bD
(UF
(o
fCc
ol4oqcv?\c!rrootoloo@]nlnsfsfsfsf
o-o,U\
ODa
=
C:,
(u
Lo.
Lfi,
-ooLL
c(o
(J
G)o
oz
P(Jo
q\olq\\
slFlOO'!N(O(o(o(ornrnlJ)
oq n o! oj n c'')
rOrlOO)@f\f\ f\ f\ (.o (O rO
\q\\qelncOrlOo)OOf\NNf\(olo
4qoqqolc''l(Oslf!t-{OOro(o(oto(o(o
4nqqqc!@rostsfNNrn Ln rn ln lJ) u')
ne\e\nOf\(o|f)sfsful rf st sf sl sl
nocnd]nc!cnOO)@f\(o$sfcnmcncn
nqnnn'4Fcndo)r\Lr}cnco(oNNN
qc!a\ulol
dLOmOf\lf)an (\ (\ (\ rl rl
c!nulqol4mOrlOstOoOcONNNNTI
\uloqq9nOf\LnslNrrslmcncncncn
oqnc!olc\{4NOoloOf\(oLn|fl$stsrsf
do-o
o-
4ctn883oooood
tnLL(o'o N',,3RBg
ta(lJL
=P(U
LoCL
EoF
OJ(Jc(DE
OJ
OJ(JxlrJ
bD
(I,F
.g
E
(o
fcC
qc!n4no)rtanrl lJ)Ornrlllrlrltl
oo
(I,F
6fCc
Ulc!nQc!\F{oo)@€Ntnlnslsf$sr
o-ov1
ODf
=
cf
(!
Lo-
L(!
-oo1!
c(U
(Joo
oz
P(Jo
eqnnqqsf rl O| @ (O lt)(o(olnlJ.)rnlf)
c'l oq '4 n (..! ncnoo)@N(oFr\(o(^o(o(o
qneqqqtJ)Nrror€F\NNF(O(o(o
qcf!nnqcf:
|J)mNrrOO)ro ro (o (o (o r-r)
o) Ul c.{ c.! q cY'l
FlJ.)slcnNrl|f)tnrnrnLo|f)
qc!qqol.!
Crl f\ (O U) rn cnst$sl$stsf
oqn\u'lnc!c!o@Nrolnsl$cncomrn
q\cf)c.l \o)(oc!o@lncn(ncnroNNN
nnqqtr!qO tn rl O| 14 CnCO C! N r-t rl rl
nnn\c'{qNoolf)NOlrOCnNNNT-{r-l
q oq o) o! c! oqO(^osfrnrlOlsfmcncncoc!
aoq4nc'?4NOt@F(Olnu.)slsfst\fst
Hagi
rJ.r i
4qn383oooooo
6LL(I,'(lJ N'f'3R38
zoFf
co
e.F2o
o-
o.9ocoot/)sl
C
.9PoP
t /,t
ooFI
orn
o0,
F
t,o
ooo-
fPoE
rn
N
I
lroLnornolJ10dF{F'rr'rf
I,,I
(1") arnleradual
,
,a,,,
J(J
o3oJ
I
I
,,,
bo
(oF.=
E
+
,,,
JU
oo-o-l
It
!
ou0g
Etn
-=E'696oELEF
EP=o>+
EE
=9Efi
E
oo
F{
olJ)
(!o
-F
T'o
oo1r'{ tf
oG,
tJ)
N
,
I
^rdOOr@t\tOLnl,)rnsstvsf
(1.) arnleradutal
?,,tI,
I,,t
t,
,,
--)(J
oo-o-f
It
I
Eg
oItroE'ooIxlrl
rnrn
q,
u0G
o
.>'6o
(!)trtr
E
ooFl
orn
IA
oo,
l-
1'o
o64
:,
oE
rn
rJr OrlN
f
I
?,,,
rnOrJ)O I r'lI
(1.) arnleradutal
,,
t,
t,t
J(J
Lo3oJI
I
,
I(ot-c.E
+
JI
L(Uoo-l
t?
I
oa0(E
o
-=E(E-=6a!
EE
trE
=e.=o
ES)oEgf,i(u
E
oz N
,,
rnO
Fl Fl
oo
Fl
orn
6
IEo
Nl-
Iio
oocr+C
:,
oG,
rJ.)
I
If
(Y)NF{ootooNLn u1 rn rn <l st sf
(3.) arnleradural
,,tI,,
,t,
,
oo
(o
JI
L
OJo-o-f
!t
!o
Hao=>E
>o,EP
3.E.EF
=otr9<+
EEE9LXo rtJz &
,r
'lj
1
,
c\l
(ost
o,9ocoor.r)sf
Co'tr(oPth
lE5trtr(E
a0
P
.=
Et,oto.tl
FIoFI
FIo)
FI@
rlr\
FI(o
FIrn
FI<t
FI(n
FIN
rl3
F.{
(3") arnleradual
ooNFI o ooorlNcO
riorl
F{o)
Fl@
Flr\
F{(o
r{lJ)
rlst
el(rl
r{N
rlFi
F{
o00(ostc!o@(orn<fsfstsl$mrn
(1") arnleradural
=(U
trtr(!
u0
(E
t,o
ovl
uo
(oF
.=
E
(ofEc ;i;3ilE
u_
bD
(UF
(!
fcC
noco\n\S.;.jSgH
o-ot/\
bof
f
cf
(E
Lo-
L(E
-oG)u_
c(U
(Joo
oz
oo
u'locne\\ildcits$H
o).-r{nn\H;e3S=
olrn.1 qnh3.i9F3=
Ln,^ (n rl aO NE^i qRng
o)oornnntrn^i d3f,H
u')rn-rqdl\
Sd.iilSH
'lmandl\s+d$RH
Q-r oqnLXd.tH3=
ulr-99o\E+?R"i=
9rn.19rhN+9S"i=
rl^rOSlrl(od:i ecr; do$t-oLnsl-
tn^(\COFILOil;+sN3
GL!EE 3X Uo eJ o (o.=-a>>6;>>c
aao
=P(ELo
CL
E
_oF
E
trc
g
(u
tEo
ooooooo(ornstanNFl
(1.) arnleradtual
oooFIN(n I
oNoN ho
(EF
.=
E
I
I(gF
t
I(u
J-ootn
c.9P(!Ptll
r.r)rloN
obcEclrJ
O)oOlFl
inc
PL(UPtl
3
tttL(I,o
LoP(U3
=E
J
o(JcqJEICoU
L
OJ
=oJ
ooE
(\,CFCc<.E
ocnNLnN@6i od-i+FroilrFiFlFlF-l llll
bo
fi,F
(o
=CC
c.{oqqn\c!
rOerdOo)Olsfsl+sfcnco
o-
OJth
oof
=
cJ
(!
Lo-
L(U
-ool!
c(o
(Joo
oz
(Jo
40qcf!n\oq(OcONrlOlOOtnlnrnlnstsl
qnc.!.!nn
lnmNrrOOl(o (o (o (o (o tf)
c!qqoloqq
f\lnmNFlri(o(o(o(oro(o
9nqoq4\@tOslcnNr-lIJ.)|J)u)tJ)rn|J)
nnqq4qrl 0ONLOsfrO|f)st$rtstst
nqnq44NOtr\(oslrosfcncocnmcn
qqqc!crln
rl f\lJ)sfNr{rONC\lNNN
nq\\nqcnOtrOsfNrlN rl F{ r-l -i rl
o)Q\oqoqn00sfNoooNFa -l r-l -l
494Aoq4rlNlf)cOr-lON rl rl rl r-t rl
n\qn\4N@(OrJ'!mNcf)NNNNN
\ctoqqn4u.tmrlOo)@sl<lslsfmcn
.clo-oLo-
4rn383ooocrcjc;
6g
L(E'o N.N3R3E
v
E
=o(J
Co!Eco(J
Loo-o-J
ODE
G'CFCc<.E
(\,,! c'l ...! \ 4 cqO(oO)rl sl(Orrrf{r-lr{ttl
oo
(UF
(I,
fcc
qqqqnq
CnNF{F{OOsf st sf st sf st
o-oan
bDl
=
cf
(o
o-
L(1,
-oot!
c(U
(J
OJo
oz
(Jo
cl\qcflncr)r\sfcnNdOr.r)r.r)Lnu)lf)lJ)
NrlFlNN(gd+cdc.i .icjro ro ro ro (o (o
oqe\oqqc.l
FLN+TONN(o(o(o(o(o'o
c!qeoqoqn
O)f\tnsfcOcnrf) rf) rf) tJ1 Ln lJ.)
eanqqnrror@NrJ)rnrf) st sf sf st sf
cqqnqnNo00N(or.r)$$mcornm
qnc!qclnNOtr\lnsrcocr.l(\(\N(\N
\'J)n9\nslOoO(osfroNNrlrlt.{rl
q.!c'{qa\O(.oslNOOrNrlelrlrl
(o ct! o Ln oo (o
.i d r- r; cr; c.icll rl r-l rl rl rt
qac!otnnmot@(o|J)$cn(\NC!NN
nqoqoq\c(o+c!rrOOlsf st sf st st cn
do
o-
o-4c!n383ooocjdd
thLL(u,(l,N,,,3R3g
rt)oLf
(DLoo-
EoF
OJ(Jc(!Eo)o(Jx
IJ.J
uo
(,Fc.E
65cc
r{N$OOO)
rlNOcnrOFll-lr.lr-trl tt
bo
(I,F
(o
fcC
nqc,l\nqcONrlOOOtstslsfsf$cn
o-ott,
bof
=
cf
(I,
o-
(!
-oou_
C(D
o
OJo
oz
PUo
qc!q\4q(osfNrroo)rJ) rJ.) rf) rJ) 14 sf
qe\\\qtnmNr{OO(o (o (o ro ro (o
4nc!nn\f\lJ..tslrnNrlro(oto(c,(.c)to
qqedlc'{n
6(Ol,)sfroNrnlJ)lJ)tJ)tnln
lf)0)(otf)Nsl.jodr-d'ri+tnslstststsf
4qqoqc'lnNOt@(otn<fsf ro cn co an co
rllJ)(OrlCnNN@(orncnNrONC!NNN
qoqq\qd]<.otr\t.r)rnNNFI-lrlrlrl
ul 44eqqO)!ncnrrOloorl e{ rl rl
qd')c'l\qq
N@(DsfNrlC! rl rl -l r-l rl
4eqc'iq'4(\ o| N (o sf cnTONNNNN
-l(OCnNrlCOdcd6i .ido;srslslsf$cn
Ee
9€uri
4c'l.1388ooooocj
qLL(E,G,(.!,f|3R3E
g
(I,-oorn
c
.9P(I,Pan
.=
E
J
CJ(JCo!
ICoU
Lo3o)
boE
rocFcc<
E
oqn.?\eqr-l oo N r.r) o) Nrrrlrlrl(\
llll
oo
(I,F
(o
=cC
q\qUl0lu')
cn r'{ rl O Ol O)$sf,sf<frnm
o-ott1
bo
=
=
cf
(I,
Lo-
L(o
-ooLL
C(!
(J
0)o
oz
P(Jo
q\q40q4ro(oNooor\rnrnrnlnsfst
ulaqq\o')
|J)CnC!rrO)@(o(0(o(orntf)
c''leq4ncl
f\l.r)cnNr-tO(o(o(o(o(o(o
c!qqqn9@(.osfsfroNrn |J) rJ) rJ) rf) r/)
oqc''! qqoqqOooF-Lnslsftn$+sfslsf
oloqc\lo')ul 4FtOOFlnsfcnt co co co (n cf)
t\\nclq
-lNLnstNrrco (\ c\J c! c{ (\
cYloqncr.)qncnootosfNoN r-l rl rl rl ri
nqclec''! nOrslNOf\1,F{ r{ r{ r'l
nnc!ac!\df\lnmr-lOlNrlrlrlFl
rl r.o r.o ot or rn6i odro+c.i .irn c\I 6l c! (\ (\
qeq4c!ntncnrlOo)@st st st sl rn co
-oo-o
o-
4rn383oooodcj
LL(o'o,N'O3R3E
.g
E
J
OJ(JcoEEco(J
Lq)o-o-f
boE
roCFcC<
E
4\nqn\o1J.)0)NlJ)r\I I ri r-f rittl
bo
(UF
(!fCC
ulcYl\c!\n
cONr-{r{OOsl sl sf sl sf st
o-oq1
bof
=
cJ
(D
Lo-
L(o
ooLL
C(!
(J
OJo
oz
P(Jo
qqnn\q
f\sfcONOOrulrnrntnlJ.)<l
Cn (\l rl C! N l.rld+cd^i -ici(o(o(o(o(o(o
nq\oqq0q0OlJ)sfcONFl(o (o (o (o ro (o
nqncYtqnOr f\ (O rJ) sl' sfu) Lo Ln l, ul r/)
oqnc''lnnoq
rl O) @ F\ l.o l/)tnslstsfsfsl
qc!oqqn9
CnO@f\(.otJ)sl sf co co cn co
\a4nq9NOrNr.oslrncnNNNNN
q\qoqqqsfooor.oslcn
NNF{!-{FlFl
44c1 nnqO(ostNOoONelrlrlrl
oqnclqocqNOrr\LOmNN-lrl-lrlrl
ctlqeoq..!ncoQ0o(or.r)sfTOCNNNNN
4no) qqc!(osfNNoosl sf sf sf sf sl
do-oLo-
4ctn888oooocrc,
IALr-ro'(I)N'.n3R3E
trloLfP(o
L
0)o-
EoFo(Jc(I,Eoo(Jxt!
bo
(UF.c
E
(I,fcc
qqq\no')
Of\OcOf-Olllrl-{rlrl
llll
bo
(UF
(o
fcc
.'lqnqo?e
cnNr-IOOOsf<tstsltsf
o-ovl
bof
:,
ca
(I,
Lo-
L(I,
-ooLL
E(!
(Joo
oz
P(Jo
ncr.loqnoq\NslNrlo)@Lnu)rnlflsfst
oroqqq4oqtncONrrOO)(o(^o(o(o(oln
\4c'{qqnN|J)$rrlr-lrl(o (o (o (o (o (o
\44\o':n@(oLoslmcnut rf) rf) r.r) u) tJ)
cY.lq\\\qri6f\(oLnlJ1|f)slsfslqfsf
nulnqu'!qNO)OO(otnsfsfcomcocncn
q'Jl\ry4nN@(otnrnc{CONNNNN
noq4\qnsro)Ftf)coNNrlrl-lrlrl
oq\c'ld'lqnottncnd@Nrl r{ rl -l
dcnanlf)(Ocoe.i oddsc.j.iN rl rl r-l Fl rl
r\(nu.)CDNOr
^i oir-d+c.iCNC!NNNN
qqcf|c,lnn(ocnNdoor+stsf<f,slco
Eeg€
rJ.r i
4ctn383oooocjcj
thLt- ft,'(u N'n3R3E
zotrf
coaF(t)o
o-
I(I,-ooLN
Io.E
(I,Ptt,
oos{
orn
IA
^(E
=(l,
=,o
o0JF{4
c
=oG,
rn
N
l,N
I
I
I
JU
o3oJI
I
?,t,
rnorJ)orr-lFlN tt
(1.) arnleradural
,,
,,
,t.
tno
Eo
oIJtroT'ooIxtrl
oo0(!
o
.}'6o
E
=E
=g
=tE
Jtrg
E
I
J(J
oo_o_l
It
I
I
II
I
II
oos{
olJ)
f
I
ttt,
s
J(J
Lo3oJ
I
I
d
sr
r+
l!oalNF
!to
Lo_o-3c
5
oG,
I,,t
,
spo:,oa!>LiBooOFEgftrE(utrt1EdE rn
N
sfrnNFlOO)+svtsfro
(3.) arnleladutal
oo
F{
o1n
6
oSN>
T'o
^0,Iio-c
J
oG,
Ln
N
LnN
J(J
o
=oJ
I
I
I
I
bo
(!
t--c.E
+
rnOu)OrFIF{N
I
(1.) arngeradural
t
I
0,)CLo
,t,,,
t,
,t,
u)o
oo0lE
o<E
i>L
8E
-O)trcL:EE(t,
=0,>E
f(E
=o=o)a9
l!
E
oz {'
/
{i
I
ooFl
OrJ)
6Lt!o
NF
E'o
L
OJodFIEL)
oG,
rJ1
N
I
Oolst cn
{
tt,),,,
(1.) arnleradual
Flst
,,,,
,
,,,
strnNsl sl sf
J(J
Lo)3oJ
I
I
I(oF
+
L(Uo-o-
0,Q0 raoog3<g>.o=o.€stEF3(ucrJEE<+
EEEC,LXOLUz3fi,-oo
IJ1
co
(DPtt'l
,
I
!
r..loFI
r-tOl
FI
00
r.lF
rl(o
r-ltn
F{$
F-{(v)
r{N
F{
FI
F{
oooooornNFlrlN ll
(1.) arnleradural
=o
=ctr(!
ho
Etr.E
!,o
ovt
Florl
FlO)
F{00
rlr\
F{(o
FltJ)
F{sl
rl(r')
F{N
F{Fl
Fl
(o\tNOoO(osfNlJ1tnlJ1Ll)ststsfsf
(3.) arnleradual
=.u
=trtrto
E!
E
E'o
o.a
o!
t!F.g
E
(I,
fcC r;$=$:
LL
b!
(I,F
6fcc
\r-tcqqoS-;.;f,$=
aoVI
oof
=
cf
(o
Lo-
L(!
!oLL
c(U
U(uo
oz
PUo
nmQ4o'lqs.iqR3=
o')or.1 qnqfl.iq33=
'1oor'1qa3.ic,R3=
noo4qaSddRh:
\-roloqqail.dd3sH
ulcr-rnnA5.ddRg=
'1 o.roqqq3-;.i$B=
o')ood'!qncSre$3=
u)rn\dlooQN";93n-=
09sul\oqqh;e$F=
ulooqqa$.id3+H
sl ,a(oO@orR+egSS
Gg
E E = X Uooq(o.=-a>>.};>> c
oo
uo
(oF
.=
E
I
bo
(oF
I
ooFINtt
ONoN
oooo(f) c! Fl
(1.) arnleradual
ooo(o l, sf
riol-
PlELo
EL
Eg
E
=cc
I
(U]L
tr'=
F
--
5
a
---ilrer
Fl
O)Fl
-+or
=a+lH
.€
r:
=-a
-a <--\
-
I
(I,
tJ_c
=Foo(O
E
.oP(o
v'l
rf)rloN
ii
.EEc1!
(ooOlrl
rbc.F
L(uvarl
t
=rnL(!o
LoPo3
--t-:
.t
E
J
OJoCoEIEo(J
L
OJ3o
-J
ooE
iucFEc<
E
qqoqnoqc'?Ln .-l Ln 01 N lJ)rrrr-1 r-ltt
bo
(I,F
(!
fCc
4na\ot4OOf\loLnsftststsl$sfsf
o-oUI
oo
=
=
ca
(U
Lo-
L(U
-oou-
c(o
(JqJo
oz
(Jo
4qq4c'lc'lotNrnst(nNtJ1tntnu.) lJ)tf)
\4c!qno?oo(oln+cnN(oro(^o(oro(o
qq.!c!olnH@f\(osfsfN(o(o(O(O(O
nu.lncq\cnoo)r\(orn(0 (o rJ) ln rJ) lJ)
<TNNONT\rr; 6i .iodF*LotJ.)l-r)Lr}sfsl
nnolq.!af\stNrrOOrsf <f sf sf sf co
\qnn\\ct| (o tJ) sf N r{cococo(nmm
cqnqqq4
N@LnsfrtOrnNNC\lNN
q cY'! oq oq n o':(.oc!olr\lJ)cn
N a\l rl rl rl r{
oqol\o)o)4oosfNocor\NC!NNrlrl
nnqu'!qqNsfNe{OO)cncncnrn(nN
c!\nc'?qc\!
Or(Olr)slfON+stslsftsf
rioLo-
o-4..1 n883oooocjd
6LL(E' G,)N,",3R3E
!
E'=
o(Jc
OJE
co(J
L(I,,o-o-f
ooE>JiEcFEc<
E
nu.)no':.1 c'l
NOmtoOlrlrrlr{
I
oo
(DF
(ofcE
qqqcv?\(..1OOf\(o(Olnl.r}sl sf sf sf st sf
o-(u
t11
oof
J
c
J
(!
Lo-
g
(U
-ooLL
q
(E
(Joo
oz
P(Jo
c'?oqqqn\or\loln+(o(otn|J)|J)rJ)rn
nclnc!nqo)Fro|J)+rn(o(o(o(o(or.o
\nc'{.'{nnr-rOl@f\(OtnN(o(O(o(o(o
qcYlnnoln
meiOOrf\N(o (o ro Ln u) rn
nqc''l .!q.1(.orONrrOOlrf) lf) r.r) r.r) Ln $
qaqo'!qoc
f\tnmc!elOsf st sl sl rf st
ulendlncflOf\(.ot,)stcnslmmmcnco
|ntntnooo@cr; d F- ,ri + e.iCNNNNNN
N6(OOON<f,drYi-io;r-dNNNrlrlr-l
qc!c.l\o)\O(oslNOo'lCON(\INNeI
(.{9qoqU.]\
6Ln$C{rlomco(ocococo
o) 4 a c! cY'! rr:
o)F(olnslmsf sf sf sl sf st
rioLo-
o-,.).tn383oooc;dd
th
LG''oJ N,n3R3g
t^oL
=P(oLoo-
EoFo(Jc(UEoooxLU
boE(uCFCc<
E
n\nnan(oOsl-f\OcOrrrrlrl tt
bo
(UF
(o
fcc
f\cO(.oOcnOlodr-ddd+.d.<.$sfr+sf
o-ott1
oof
=
c
=
(!
Lo-
L(E
-oo)u-
c(I,
(Joo
oz
PUo
Cnnnol'1otr\(olJ)cnanl,)Lnu)Lnlr)ln
nq\oq\qot r.o ln sl (n co(oro(o(o'o(o
stOf-f\(O@..idr.rdr;+Nr.o(o(O(o(o
no'!94c1 ulrnoo)@F-(o(ororn|/)u.)to
\noqqnulLr)cnrlOOl@LntntJ)|f)stsl
tJ)ooslrnOrrr-+cri^i -idsf sf sl sl st sl
nnotocnqOf\Ln$CnNtcocncncnrn
qoq\qq\
N@(O|J)CnrlcnNc\lNNc\t
4noqe\.!f\cnO@(Ol.r)NNNr-lr-lr{
n4u')qq\O)tncOrrO@Nc\lNNNrl
oq o'! '4 c! oq olN$rflNOOlcnmcnmcoN
4nqoq\ccnr\lJ)+coNsfslstsf+t
Ee
9€uri
"lqn888oooodo
LL(I,,G,N'N3R3E
zoFfcoaF(r'l
o
J
&.oz
6
(!u-c'=
Foo(o
coF(I,PCI
.!
E
=o(Jco!iEcoU
Lo3oJ
bDE
(tlLFCC<
E
4nqnqc!rnN(ootr)00I I rl r-{ rittt
bo
(!F
(!lcc
nec'?e...!oq@f\(Ot'r)lf)slst st sl st sf sf
o-(utt,
bof
f
cf
G'
Lo-
L(U
-oot-L
c(I,
(Joo
oz
P(Jo
40tnnecOl l.O ltl sf N rr
'J1 IJ1 IJ.) Lrt rn Ln
q c! e! c.l .! 'r')oO(o|f)slcnN(o(or.o(o(oro
n4q\c!nrl@NLnSlcnN(c)rc)(O(OrO
\ cfl c! c! n o'!NOor@r\(o(o(o|J)rJ)|f)rf)
n4nno) nlflNrlOooOOrJ1tJ)tJ)|J)sr<f
ql\ul.!a
f\sfNrlOOlsl sl sl t+ sf cn
q\c!otnnor(olncoNrlcornrncomcn
cYlqqcq\o)
N@tJ)cno@rnNNNNr-l
o?ncqnq,4
f\NO)r.omONNrlrlrlrl
no':ctcqqo)sfNolNtn(\l (\ (\ rl rl rt
4nU]0lqU.)f\sfNOooNcncococoNN
nqqnoqco)(olJ)slNFlsfststst+sf
rioLo-
o-4ctn383ooocicjcj
tigr- Gt'o N.n3R3g
':E
Jo(Jc
o)EICo(J
L
o.)o-o-
=
ooE
roCFCC<.E
clolqc!qqo0oN(ooNllrlrl tt
bo
(DF
(!5Cc
c9qqne@f\f\rJo(OU1sl sf sf sf sl sf
o-ov\
uo
J
=
c
=
(!
Lo.
L(U
-ctou-
c(o
Uoo
oz
P(Jo
nol\\4\oN(otn$co(oro|J)LnlJ)rn
nc!oaU.)9nO)f\(Otnsfsf(o(o(o(o(^o(o
q4clneq
NOroof\IJ) lnN(c,(Or{)(Orl)
qnn\q4
rnrlOOtOl@@(o(otn|f||f)
nq4'440')(.orONrrOO)r.r) rf) rf) t,.) |J) sf
qnnnol.j
@Lnsfcnrlrlsf st <f <f sf st
qcqnc!nON(otnslcnsl ro an co co cn
o)\u]\4nmoltf\lJ)CnNmc!Nc!NN
ocn(oNcocod+-ioid+C! 6,1 (\ rl ri rl
qulc.!o{ol.!oLostc!ol@fnNNNrlrl
qqqqqoq@tnsfc!oolmfnmcocoN
qqs4nqoN(olnslm|f)slsfslsfsf
rio-oLo-
4nn383ooocjcrcj
6LF(o' o,)N'N3R3E
tno
f
(ULoo-
EoFo(Jc(o:ooo(JxtrJ
ooE
GrcFCc<
E
OO ln (O Fl rn rl(oo$@Ntnrrrrlrl tt
o!
(DF
tfcC
(Omf\Nf\rnodF-ddd'.risl<fsl+sfsf
o-o(r\
bof
=
C:,
(I,
Lo-
L(I,
-ooII
c(E
(J
OJo
oz
(Jo
qnnq\o'lO)l'-(otncoNrnrJ)rJ.)rn|J)l,
qeoqcqnOr(OlJ)sf$rn(o (o (o ro ro (o
Ln O f\ !n r-l rl.joiF.d'ri+N(.o(O(O(O(O
6lcD6dcnoocooo)or@N(o(otf)tnt/)|r)
qnqqoqnl,)anFlOO)OlLn!o|f)r/)sf$
4eulnncY':f\$mNdOstsfsfsltst
nnq\n4or\l.n+cnNst cn cn co ro cn
nqqqnccn@(o$NoCf)NNNNN
(.in4ce9
@mONsfNNNNrlr-{rl
o) \ c'l o! q oc
Ol lJ.) cn Fr OO (Of!NNNr-lr{
elrld)@Of\oddcd-idodcorncocnroN
l/]nqocqoqChf\u|$cnNS<tsf+t+
taH:rJ.J d
4c.{n383ooodcjci
tnL(I,
o)F N,r'3RBE
zoFfcoaFtllo
o.
I(!u-
C'=
Foo(o
E
.9P(U
(n
Oo.{
orn
6
Goo>.
!,o
Looo.rltr
JPoG,
rn
N
I
otJ)ornol,)od'nnf
I
j
,,,
,t,
(1.)arnleradual
t
,,
J(J
o
=oJ
I
I
t,
I
oa0G
O6>o
>r},=oc5g
EE=otrF'Ee
=E-!too=oEiiur
=CL
oorl
O
LJ.)
6
(!oalNF
Eo
L
OJoLFiE
oG,
rn
c\t
I
oo)@N(ornslIn<lstsfsl+st
(1.) arnpradual
tt
I
t,,,
t,
tt,
JU
L(t)
=oJ
I
I
,,
)(J
G,oof
I?
I
spof
oi!>LiB
(!oOFE8fEqtEEE'1EEff
Oo
Fl
orn
6
(Eo
o.
=,o
Loo.
-E==oE
rn
I
{
ornol,)0rrlFlN tt
(1") arnleradual
a,
I,I,
t
t,t
JL)
L
OJ
=oJ
I
I
.=
E
oo-o-
t
oo0t!
o
(o>E
l!EogEg
EE
=e.=o
=EE r
Eg1,Il!
E
oz ,r
r
il
Ti
T
c\
tJ)Orl
oo
Fl
Orn
ta
l!o
a)
'oo
o-o.Hc
f
OJG,
rn
f
I
Oo:)oof\(OlJtstrnstslsfsst
(3.)arnleradual
?ttt
,,,
J(J
o,
=oJI
I
J(J
o)o-o-
=I?
Ioh0ooogr=> ;*,<g>o-- o.
4sa!F=oE(JcE<€
EEE(JLXO lr,z
N
I
(u
LLc'=
Foo(o
c
.9P(E
ttl
FIoFI
FIo)
r'{@
F{N
FIlo
r.lLn
F-{st
FIcn
FI
N
r-lF-l
FI
ooooooNr{FlNcO I
(1.) arnleraduel
=(u
=cC(u
oo
.(EF
.=
E
:E,oP
ottl
L(!o
ho
C,FC-
I
bo
(UF
I
oooor'{ N cn sttrrl
ooooooo(.olJ)sf.nNFl
(1.) arnleradurat
1Ao
P(U
o
CL
E-oF
E
trtr
h0L5llxo0l
boLf-oxod.ooN
;
.9P(UPv1
LNrtoN
ob
.=!cLIJ
ooootr-{
inc
{=L(!Ptt)
t
=6L(!o
LoP(o
=
rlor{
F..lOl
rl@
elr\
rl(o
F.tln
Flst
rlcO
rlN
Fl
F{
Fl
o@(osfNo@(otJ)sfsfstststmm
(1.) arnleradual
=(E
trtr(E
h0
(EF
EoP
ottl
oo
(DF
.E
E
tfcc
r-l:c\OUloOe;"9\3
lJ-
bo
(oF
(o
fcc
\o.reqA$.i.iShH
o.
OJv\
bol
=
Ef
(o
Lo-
L(o
!oLL
cfl,
(Joo
oz
P(Jo
ogordlc!4\3.ieu5=
9rno(.'l o)\3"i.iRnH
\r.1c?nh3^igRfr=
Qoroc?qAil^i dfrsH
oQs.1\nA$;e3S=
(.oaNsll-OOs;Qs53
nordl 9c.rgQN6eH"j=
9o,o\oq\F+cjS==
O)a(\OONN$;"ilHS
nr-or4499B.icj3ilH
N,n*cnrico*;"s"9
@JrlLnf\(OH+e$i3
?'
-L!EE 3x .UO(Uo(o.=j=>>.};>> c
E
E
Jo(Jco):o
Ico(J
Lo
3oJ
ooE(ugFCc<.E
nnoqqulolf\ sf f\ ri sf r.orr{rlNNNttltt
b!
(EF
(ofCC
4qqcq4qNOOOTOO@tslslcncncn
o.oVI
boJ
=
cf
(I,
Lo-
(I,
-oou-
c(D
ooo
oz
Poo
noq'J.)dlncll-f)NriOo)@lnrn|f)|J)sls
c'lnqcoqqsrNool@@(o (o to rJ) !n !n
nnc?cqcr'!9(osfrnNdo(o(o(o(o(oro
n\nnc!no)(or,)srmN|f)tn|f)lr)tnrn
qn\qcfln
F{Otf\(ou1sl1/) sl sl sf sr sf
nnoc4qqNO)f\(olf)sfslcocncnmcn
qqcqnc'{\Fr(oslNOOOrnNNNNrl
94\noqnrl(OcOd@f\NFlrlrl
4\ctqqqf\NOCOtnsfrl rl rl
n.!qqolu')o(ornNo)@N r-l rl rl
c!\oqc!nc.i
-lf\lJ.)slNrl.NNNNNN
40l 4nqc'{sfr{OO)@Nsf$sf,cncncn
rio-oLo-
4.tn883ooocjod
t^LL(o'o,N.n3R3g
E
E
Jo(JcoEitrco(J
goo.o-f
bDE
(ECFCc<
E
n\ncqqlndlnf\Flmrr-lrlrlNi!
rttrt
oo
(oF
(ofcc
qnqqc!o)
Nr-tOOo)@sl sl sf sf rn rn
o-oVI
b0a
f
cf
(!
Lo-
Lo
-oolJ-
c(o
Uoo
oz
P(Jo
rlNLnLnCn(.Odcr;c.i -idoi|f)tn|f)tf)lJ)sf
qoq\o':qcf!
sfc!rlOo)Ol(o(o(o(otJ)t.r)
qnnc!a\
NlJ)stcONFl(o ro (o to (o (o
\ulcY'l nn\Or f\ (O Ln sf cnrn rn rn u) u.l rn
=qq\\qeNo.|OON(.otntnslr+ststsf
c!nqoq,r'!qcnoo)r\(0rnsf<tmcnmco
.!nqc'?nnN@(ostNr-rc.oNNNNGI
n(.{\\no'!an@|J)cOrlOtNrlFlrlrl
qcflqnqqoo<fNo@rorl r-l r-l rl
9qqqnoqrlNtncONON r-l t-l -l rl rl
a q c.,l oq c! .1
c\t@NLnslcoMNNNNN
c!oqUlUlnqtnNdoo)@sf st sr st co cn
-oo-oLo-
4ct-1388ooocjdo
ti
L(E'oJ N..N3R3E
IAoL:,v(uLoo
EoF
OJ(J
C(UE
OJ
OJ(JxLIJ
bo
(I,F
.=
E
(ofEE
nqneqoq(o N (o o) N sl-r-lrlriNNtrlll
bD
(I,F
(I,fcc
\..{n\q4NrlOOrOl@Sstsfcncocn
o-
OJt/\
bo
=
=
c
=
(o
Lo-
L(U
-ooLL
c(!
ooo
oz
P(Jo
oqc'lqol\olrncoNooloot-r)!nlf)lJ)sft
q4cY'!nn\
sfNrlOOl@(oro(o(oLn'fl
Nf\f\@oON(.oslfnNrlrltoro(o(o(o(o
nnqolqno)N!nslmcnlnrJ)tnLnlJ.)u.)
q4c!c!qc.{
NO)0Of\(o|J)lJ)slsfsf+st
eqnc'{oqqNOt@NrOslsl cn co co cn co
qn.!ncqq
rlNtf)CnrfOCNNNNNN
sfsfooroN(oNr\sfNo@f! rl rl -i rl
N(oC!No)sf@cOrtOt(.otnrl -t r-l
oot@odr\
F{(osfcndOlN r-l r-l Fi rl
ea4nnc'')rl@('oLomNCOC!NNNN
qnqq\ol
sfc{rlO@f\st st <f sf cn co
Eeg€
rrJ i
.rl..in883oooddd
LL-(D'o N,n3R3g
zoFfcoaFtt,oJ
Eoz
ooL
Jltx
OJ&.ooN
E
.9Po#ttl
E
E
=(u(J
C(uEEcoU
Lo3oJ
boE(ocFCc<
E
nn=qolq\r\ <f oo r-r (o @rrl rl NNC!I
bo
(oF
6:,cc
noqqc''l 4qc!OOO)(!oOsf$sr(ncnco
o-oth
oo:f
=
cf
(!
o-
L(I,
-o(IJLL
c(o
(Joo
oz
P(Jo
qoqoiolnc'?
|.r) N r-l Ot 0O f\u) rn rn sf sf sl
c! o': oq oq q o)
+elOOl6N(oro(ornrnu.)
ncf!nnqc!(o$mNOO(o(o(^o(o('ot.o
cqnnc'lqoo(otnstcoNtf)lf)tntn|J)tn
4q4nnc!rl@N(oLOsftf) sf sf <f rf sf
d1 cn (o c! (o rnGi oiF-d+cr;slcnmrnrocn
q'4o)\ncr)
r{(OmrlOlf\cn (\ (\ c! Fl r{
\ctlc!4crlnF{(OmOf\LnNrlrlr{
\\\qcqf\NO)f\rn-lF{ rl
qq\oq\c''lo(ocndot@N-irlrl
c! !q ul oq q 'r'lrlFlJlCnrlOTONNNNN
4oqo.lqul4sf-lOOlf\@sl sl sl cO cn cY)
rio-oLo
ulqn883oooocjci
6LL(E'oJ N,,,3R3E
=E
J
OJ(JcoEFEoU
Loqo-f
boE>J(scFCq<
E
4nqqqu')+rlstNe{cnrrlrlrlNNttttt
bo
(I,F
(o
fcc
q'r!\n4n
NrlOOOrOrsfslslslmco
CLoq1
oof
=
c
=
(I,
o-
L(!
-oolJ-
c(U
(Joo
oz
P(Jo
not4nnc!(ocnNdoo)lr)rnrn|f)tnst
qqo'!qnn
U)NFIF{OOt(o (o r.o (o (o rn
cl.!na.!\
f\lJ)slcnNrlr.o (o r.o (o (o (o
\q'4\oqclo)F\lolf)sr<fLnr-r)rnrJ1|J)|J)
U]qoqoq\qNo@N(o(otn|J)<fsf+sf
n4nqq\cnOOrf\(.otnst sl cn cn .o co
qc!nctqq
N@(OstNO(n(\(\c{(\N
qqoqulqqcnoolncoootNrlrlrlFl
4\noqc!notstNorr\tnrl F{ el
eoqq(.!no.!rlNtnsrNrlN r-l rl r-l -i rl
4nc!qc!nNOtNtr)sfcnMNNC!NN
nolqUlr'ln|J) l!rlOO)oosftsf$rocn
riooo_4c'l.1333oooodo
6
L(E'(u N'N3R3E
6oLfP(I,
Loo
EoFo(JC(I,E
OJooxLIJ
bo
(DF.s
E
6fcc
@6tnN$Otr.r)NloorrntnrrtFlFlNN
tllll
bo
fi,F
(ofCc
\nqoqnqNr{Oo)o)0Osl sf sf cn co ro
o-(uv1
bof
=
c5
(,
Lo-
L(E
-ooIt
C(E
(Joo
oz
P(Jo
q crl o) \ ct'! nLncnrl OOI@lf)Lnr/)Ln$st
qnaln\9NrlOo)o(oro(or.o|J.)tn
oq\\\\q(g<fcONrlr{(o (o (o (o ro (o
cn r-{ O r-l -l l.f)o)r\(c)LstanrntnlnLntnln
q4c!c.{ec!
NO!@NtolflrJ) sf sf sl st +
eqnn\\NOt@r\lJ)Sfslcnmcnmco
@lrrldf\rlFl f\tncnOOlcnc!NNNrl
Nln(.oFl rOcn
Nf\<fNOtf\Nr{rlF{
q\q4\\00rnd@tnrnrl r{ ri
qqoqnc.!ol
Ff tO sl CO -l Ol(\l rl r-l rl r{
oqn4qaqrlootOSfCnC{TONNNNN
enqoq4qlf)Nrl or@r\st sl st cn cn cn
da
H:r!i
"]qn333ooocjdcj
oLL(E'oJ ..{,r,3R3E
zotr
=co
d.FU.\o
o-
hoLf-oxo)E.
ooN
Co.F
(D
Pth
oo
F-{
oLn
^l!xg:
F
!to
OOFlo.
tr
f
oc,
LN
c\
I
Ln o lJ) 0 tt oIt-lFlNN(n
(3.) arnleradural
I
J(J
Lc,
=oJ
I
I
at,t,I
,
,t,
,,t
,,
o
oICG!,(uoIxLu
oo0oo
.}
IEo
E
J
E
Jg
E
Jtrc
E
JU
oo-o-l
I?
I
III
E
OOFl
orn
lh
(!oal
1'o
Lo
odFIE L
=oE
rn
c{
,
II
sfd)NFlOo)oONsf st t sf st (o (O fr')
,,,
(3.)arngeradual
,t
t,t
,
J(J
OJo_o-f
I?
I
$po=oi!>LiB
ooOFEgJtrE(utrt
=EE6
oo
Fl
orn
1A
(!ooN>
1'o
-(u=4 tr
f
oG,
rJ)
N
t
I
JU
o
=oJI
I
Inoutornorr{riNN(ntttr
(1.)arnleradual
?,tt
,
tt,
,,I
oE0oo<8
:>L
8EeQ)trCL
=cE0,'EF
=o=EE(o
=o=oi9
(E
E
oz
o
JU
Loo-o-f
I?
I
I
E
+il
,/
,,li
a
oorl
ot)
0
(Eoa}r
!,o
o-cHc
=on
LO
N
I
I
<t(Y)NFIOO)0ONstst<lstst(n(n(n
tt
(3.)arnleradual
,
,,,
,
)(J
I?
I
ob0 ra!!ogE<g>.o
=0.ES(!F
=oE9Eg<€
EEErJLXorrlz
boL
=-oxq)
G.ooN
toEro
.tl
il
,l
I
II
f,"
FI(o
r{rn
FIsf
rlco
F.{N
FIrl
FI
ooooooN F{ rl N (Ottt
(1.) arnleradural
=o
=trtro
bo
tEFtr.E
tto
ovl
Fl(o
FlrJ)
F{sl
F{(Yl
rlN
r{Fl
3
om(ostNo00(orrstststststmm
(1.)arnleradual
=t!
cc(!
b!
g
E'o
ovt
bD
(UF.g
E
(o
=cc TTTEfiE
u-
bo
(DF
(ofcc
c!r-n'19"-$;q$s.
o-ottt
oof
=
cf
(D
o-
L(E
-ooLL
c(I,
(Joo
oz
P(Jo
9oro)nQ"-3*qSB-
u') -r al "! 09 n_h-ie3s-
09coo99n3.i.jFD-
o')ornu)9*
E.iciEBi''"
I r- c.r o) u1
"-3.idB5to
'1 or o '1 u') r-$"idBH.o
9rndlo)-rr_X";q3"--
9r-c!Q\.-N;OOcn(O(\t"'Isr6l
9o-rqe*$"i.rfrSi'"
u'l oo o) o) \ r._H+?S5-
dlol-1Q.1"_9"i9S+-
09oou')Q9"_F+933-
G'L!EE }X Uooo(o.=3>>;;>>c
aaoL
=+t(uso
CL
Eg
E
=trtr
I
(Elr
o.C|Eg
oo
(oFE.E
t
bo
(oF
I Go
oooLn <f rn oooN F{
(1.) arnleradual
ooot-l N (ntt
oc\oN
-€-
5:€..
=F-->->.
I
--\<
I
a(
i
.-
-{
I(!u-
o-c(U
=olJ)r-
co'.F
(UPttt
LOrloN
ob
.EE'clrJ
Ot<tOlFl
obc
(!Ptt)
=tiL(!
(U
LoPo
=
-trT
E
E
=OJ(Jc
o,)E
Co(J
L
OJ
=oJ
bDE
G'CFCc<
E
nqqecY'!q(oN(oo)CoLnrrl-lr{NN
tllll
o!
fi,F
E)cc
qnqolc!\TDNFTOOOIsfstsl$sfcn
o_
0)v\
bof
=
c:f
(u
Lo-
L(U
-ooLL
c(o
(J
0)o
oz
PUo
qc!o)\clnNslNrrOO)lf)r.r)rnLn|f)sf
4ncqnn\(osfcoNrlc)(o Lo (o (o (o (.o
c!cqcflnn\
oo(oLnsfcnN(o (o (o (o (o (o
lJ)c!OOOO-lcjodF.d++(o Ln Ln lJ.l u.) rJ)
qclqol\olNOortr\(c)lJ)lJ)Lnslsfsl$
\n\qo?nrOFlOlOOf\(ostslcococnm
\9eqeoqfn Ot f\ ln CO rlCOC\\INNNN
q o': oq o{ c,l arnf\sfNO)f\Nrl-lr{
c'':o':q4\oqoOr\IONstNFl rl rl
no':q\qnrr(.oslNOO)N rl rl rl r-l
q\qn\q
N@(OtrlcoN(nc!(\(\c!N
(.!qqqnq
l.r)NFIOOIOOsf sf sf sf rn cn
riog
o-
o-4ctn338ooodoci
6LLft,'o N'n3R3g
.=
E
=o(JEoE
coU
Looo-f
boE
(!CFEc<
E
qqcflqcoqrnornlJ)@orFlriFlrl6lrlttr
bD
(oF
(ofCc
4qc''! oqn\srcoNrlf{osfslsfslslS
o-o,Jl
oo
=
=
Cf
(o
o-
(t,
-o(lJLL
C(o
(Joo
oz
P(Jo
q4.!ojqclOOro$cONrlrn rn u) rn Ln u1
olcqcrl4\n
NtnsfcoNN(o(o(o(o(o(o
O) rl N l/) r.O rlodF-dr;++(o(o(o(o(o(o
ct.: c! n c! crl Irl Ot OO N (O lj)(ornrnrnLr)l.r)
nojn.!.!4cndOOr@f\rJ) r.r) rn sl st sf
qc!qqo':c!
SfNFIOOO@$sfsf<frnm
oj cY'! crl \ o'l \LnrlO)Nlf)slCOcnNNNN
qc!9nolcYl
!nON!nNrlN N r-{ rl rl e'l
cqc!q'J]c!qoLnNo@roC\ r-l ri -l
qqqec!qN@roLncnNN r-l Fl rl rl r-l
nnulc'loqolcOO0Of\lJ)slrn cn (\ (\l c! (\
qoq\oqo'lc!(OcONrrOOsl sl sf sl st sf
rioLo.
o-4c!n383ooocjcjc;
rhLL(I,'o N'N3R3E
rrtoLfP(!
L
@o-
EoFouc(I,Eoo(JxLU
bo
(oF
.E
E
EfcC
oqne\qqsl rr sl- r\ o cnrrlrir-lNN
ttlll
oo
(oF
tfcC
c!aqq\c'l
sfNNFl OOsl+sf+stsr
a.otJ1
bof
=
Ef
(I,
Lo-
L(E
-ooLL
C(!
(Joo
oz
P(Jo
4qq4c!nf\sfcON-lOLnu)Lnrnlf)lr)
eqqqn$(O sl cO cO N r-l(o(oro(o(or.o
(oFcoodtnodddui+cr;(o'o(o(oLo(o
q\q\qo)o@r\(ou1sl(o ln Ln rn Ln tn
qoq9qulQ.noo@N(o!n|J)<f,sl$st
n\nn(.'{qsf-r ool@r\t<tstcncOro
'f!'4n\\9<fOoO(osfmCNCNNNNN
(odrno)cotn
sf ot t.o cn r-l o!NFlrlFlri
CO rl Sl r-f (O O)o;+.ioid+F{ rl r{
oO@r\OOf\-iFr'ri+c.i cif! r-l rl r-l rl rl
enqnqolNo.rf\@sfcnCONNNNN
q n c.{ .Y) ..1 4lJ)cnNF{OOlst sl sf sf sf cn
da
g€
rJ.J i
4qn383oooc;oo
tiLt-(I,'(lJ N'N3R3E
zoFloaFtJto
-J
d.oz
6
(I,
lJ.-
o-c(U!oInr\
;o
P(I,Pu')
.=
E
J
o)(JE
OJE
co(J
L
OJ
=oJ
ooE(oEFEc<
E
ec!nnnn(O cn F t-l lrl 0Ore{rlNNC!
ttrtr
oo
fi,F
6fcc
o'tnnq9c
cncrlr{OCD6sfsf<fsfcom
o-oVI
oof
=
Ef
(!
o
L(,
-oOJu-
c(I,
(J
qJo
oz
Poo
q.!qnnc!NsfNrlO)ootnrnlntnslsf
nc!c!ojc.!4(osrcnNdo(o (o ro ro (o (o
u'!aq\no'loo(otnrnNo(o(o(o(o(o(o
.inqe4q
O@f\t.olr..)Ln(orJ)tJ1rnrnrn
nnqotqnNO@N(O(.ol.r)rnslsfsfst
4q4cl'! qq
CO r-l Ol OO lO (osf st cn co rn an
c!q\q'Jlqsfo)(oroo00TONNNNTI
qqnqnernf\slrfNsfN Fl r-{ rl
c!qn\qul
@ C! Or r.O CO rlr-{ rl
.!\qqoce
rr (O sf rl OO lONrlrlr{
q44ee=q
NOOr.osf,Nr{cf)NNNNN
q\nnc!n
tnNr.lOO)@sftst+cnm
oo-o
o-
4nn383oooooo
taLL(O'o,N'.N3R3E
=E
Jo(JcoE
coU
Loo-o-l
boE(ocFCE<.E
qqneq\NO)cn(OOlrlrrrlrlr-lN
bo
(I,F
(!
f
c
qnn\o':nslcONrrOO\f sf <f, <f, sf sl'
o-oVI
bof
)
c
=
(U
Lo-
L(E
-ooLL
c(u
(Joo
oz
P(Jo
cr?\cfln\oq@tf)slcnHou) rn Ln rn !n Ln
c'ln'4\oqo?
NrflslmNNro ({o to (o to ro
cYlnc!c!qqo)r\(o|J)rnro(o(o(o(o(oro
.!cflnen\
rrOl@NN(O(o r.r) rf) 1J.) tn Ln
ncYlc?4\ncnHoot@@Lnrf)Lnsfsfsf
\c!nnqc,lsfNrrooroosl sf sf sl ao cn
c!qnnn'4(OrlO)f\$NTNcnNNNN
.i\\c!nn(oOf\lf)NOC\ N rf rl r-{ rl
\4e\c!4orJ)Nom(oC\ rl r'{ rl
c!q\oq4o)
mO)(OslNON rl r-l rl -l Fl
U]c'lqc!\qmO@f\tn<lcnCONNNN
nqqqn4(OcnNNr'{Osf sl st sl sl sl
-oo-oLq
U]ct-1388ooocjod
6g
L(E'oJ N,,,3R3E
o.)gfP(oL
OJo-
E
0.,FooC(D'o
OJ
o.)UxLIJ
bo
(oF
.=
E
6fCc
4c'lqdlqqSrl lJ)OONstrrlrirtNN
lllll
oo
(I,F
(o
=cc
aoqqc!noqsfNrlrrOOlslsttslsfco
o-oVI
oof
f
c:,
(,
Lo-
Lc,
-oq)
LL
c(!
(J
o)o
oz
()o
\q4(.!\qf\lnrnNOOrtJ)tf)rJ)tnlf)sf
ao':o)qn4(o+rOrnNrl(o(o(o(o(o(o
o)o)\4nnco(otf)$mN(o (o (o (o to (o
f\N@r{slOdodF.F-dto(olntf)lf)|f)rn
ol\\eq.!
NOOr@NNtnlJ)slslstst
n\nc!nc1$-l Oot@r\sf$slrncnro
c!en\\4tno@|J)No(N(ONNNN
qcY'! nnc!qsfo)(ocoo00NrlFlrlr{
n n ct') ol c! ct?otsr-{@(ostr-l rl rl
NOttnstO)Fl
Nf\tncnOOlN t{ r-l Fl ri
\4\c'{nc!N Or f\ '.O sl cocnC!NNNN
4n.!cqd?qr.rl cf) c! Fl O Olsl sl sf sr sl cn
Eeg€
r!i
".lqn383ooocjcjo
LL(E'(tJ N'N3R3E
zotrloaF2o
d
I
(Du-
os(I,!ot.r)r\
C
.9P(UParl
oori
orn
6
.Eo
!to
LoocLr-i E,
c,E
rn
N
f
!nolJ10tJ)oIr-lrlNN(n
ll
(1") arnleradural
I
?,
,tt
,
,t,
J(J
Lo,
=oJ
I
I
,,
bo
(oF
.E
+
0..)o-o-
o
oo0o
$p>.3
=i!.ELl.r0J
=*trts
=oJtrF
=os9>€
EE
=t)=xLt!
=o-
oo
Fl
orn
6
(!
-or-2 >
=,o
OJoq
,
od
rn
N
I
rnsfd)Nr-ioocost+sfvsrsrd)(n
(1.) arnletadutal
I
tt,t
t,I
,,
JU
Lc,
=oJ
I
I
,
,
J(J
L(Uo-o-f
I?
I
o(JEoE'oogxlr,t
ouotE
o
3o6
EfEtr
E
oOFl
oln
6
ooa)
:E'o
Looo.rrC )
oG
lr)
tI
I
ornotnotJ.)orriFtNNcOtrrl
(1.) arnleradutal
t,,
t
,t,
,
J
b
=oJ
I
I
,,
oo
(oF
.E
+
o.)o-o-
ou0lE
o
(ra>E
lEEoEco
cE
=e.!o>E6eioE8t;(U
E
oz
N
oor{
Orn
6
oooENF
!,o
Lo.Lo-Ft=
f
oG,
La)
1r
rn+rnNFloo)@stslstsfdstrncn
?,
,tt
,
t,
J()
L(u
=oJt
I
(l,)o-o-
Ioh!6!!(u
9E<g>o
=9.
ESt!F
=oE9atr<€
EEcrJLl(olrrz
r!
(1.) arnleradual
I
(I,
LL
o-cft,!otnr\
Hotr(oPt1
,t
a
'[t
tl
?
r{N
r-l(o
FIrn
FIst
FI(n
FIN
r.|
F.{
F{
oc{oooor{ F{ Fl
(9.) arnleladural
(E
=trtr(U
u0
gc.E
1'o
ottl
slN
Fl(o
Flrn
Flst
ricn
FlN
Flrl
rl
NO@(OstNtJ) rn st st st sf
(1") arnleradural
=(!
cc(!
00
(E
E'o
oth
uo
(!FC
E
(ofcc
t-O a lJ)EBqI+n
LL
bD
(UF
6
=c
L $:BH$n
o-ot'l
OD
=
=
Cf
(U
Lo-
(U
-ooLL
C(o
(Joo
oz
P(Jo
noo$909r-3"i+3il,-
"1 "rS4o)r-E"i?RE,-
q r 3'1'1 r-R.i+R6*
d)olI 9d]*S"i;Ehi-
no9nu?*il"i83$i-
$;!ilfin
nr-iln,'lr-hd"$R^
nw39o')n-Rdqss*
"'t to il 'l n ,oR+"S5^
nlohno9.oH-;+$K^
o)or!d'! er.oS"j;3S'-
Ao,$'!.r.-R,;q3"i-
GL
-(oE E 3x IOOJ(u(o.=e>>.};>> c
anoL
=.PtuLo
CL
E-oF
E
=trtr
-9oP(u()oo-
(!o
ooo(r)Nrl
(1") sarnleradual
ooFINrl
oNoc\
oooo(o rJ) st
o
EP(E(Joo-ooo
Ho
(UPUI
LNrloN
tbE.ocIJ
O)rnOlFl
&c.F
L(DP(r'l
t3
L(U
OJ
LoPo
=
#-
o
a t
-a
-.
.ts
E
JoocoE
5co(J
Lo3oJ
ooE(ocFCC<
E
nno) n\nrl 0O r-r lJ) 6 r--rrrrlrlrlNtttt
oo
(oF
(o:fcc
qn\n4n(otf)sf$rncosl st sl st sl sf
o.oVI
bo5
=
cl
(E
Lo-
L(o
-ooLL
c(!
(Joo
oz
vUo
q4c'{noqqot (o rJ') sf N NLnlJ)rJ)lJ.)Ln|J.)
cqqqnt@Nl,)ljlslco(.c) (l) (o (o ro (o
q4nuln\Ooof\(oLOslN(.o(O(o(o(o
q{nq\o')
rrO)@f\U1sf(o rJ) rn rn Lo rn
arQqqqacOdO0OF-r.ornl,)Lr}sfsfsr
q4note\
|f)NrlOl 0Of\sl- sf sf (n ro co
qc'lqn4c'l(OmrlO0ON(nd)(f)roc!N
.'?qqol 4oq@mFlOO(ostNC!Nrlrlrl
eeq\nc,'lcnf\tnNO@N F{ rl r-{ rl
44444nt) r-.1 O) f\ In sfNN-lrlrlrl
qn\c'l\q
strlOt@(Olnrnrnc!NNN
4q\4ctnFtf)TONTIOsl sl sf st sf sf
-cio
o-
o-4rn383ooooc;c;
(I,(uF N'N3R3E
P
E
=o(JcoEECo(J
Loo-o-f
boE
1gCFCc<
E
cY'!ctl\n44
dt/l@dslt.ollrtrlrl
ttt
oo
(!F
rofcc
qoqc!oqc!o)NrJ)rnsrslmststststst+
o-ottl
oo
=
c
=
(o
Lo-
Lo
-ooLL
c(U
ooo
oz
Puo
oq4crlnc!qo)N(ol,)slcnl.r) lJ) rn rJ) rJ) r.r)
9\oqno!\Orf\(O(.otnsfro(or.o(o(o(o
cYl crl cf'] 4 I qrror)@r\(!)roN(O(.o(O(O(.o
\nc!nn4Noo@Nro(o(otf)tn|f)|/)
qc''!nnnn
slNFlOO)@tntn|f)|f)slsf
o)4(..,l c!nn
|J)cnNr-rOOtstsfsfstslm
\qnoqn4f\sfcnrlOOrcncncncomN
q 4 (..j c,? o? o)
O) Ln cn rl Or f\c!NNN-lrl
\oqq9n\sf Ot f\ tn ft1 rlNrlrlrlrlrl
oqn.!qq\
(O CO rl Ol f\ tO
NNNrlrlrl
qqnqq\
lJ)NrlOt@NCOCOCONNN
nqococoqq00(otcoNNsl sf sl sf <l st
rioLo-
o-4qn888ooodcic;
thLL(I,'oJ ...ll.n3R3E
tn
o,)LfP(EL
OJCL
E
OJFooC(!!oo(JxlJ.l
bD
(UF.c
E
(ofcc
nqoinn9o(oom(ooolrlrlrlrlttlt
bo
(1,F
6fc
L
oqqq4q'r'l(o rn rn <t cn rnsfsfsf+srsr
o-ot't
oo
=
f
cf
(!
Lo-
L(I,
-oot!
c(!
()(uo
oz
Puo
=qqoqoqqcotNrnsfcoN|Jllnl.r)|f)rn|f)
.!n9q\n
O)f\(O|J)<$sf(o (o (o r.o (o (.o
o)o':o)qnn
O@f\N(Olf)f\ (O (^o (.o (O (^o
cYlo)\\'Jl\
NOI@N(Ot/)(olf)Lnrn|r)rn
qoqqqnq
+FlOOl 0OF-u) t.o u) sl sf sl
4q\q{qlr)cf)Froor@$sfsf+.nrn
nqnq44f\sfNrlOr@cnrncnrnNN
nqc!clqU.]otslNo@toNNNNr-lrl
oqqan\ncnOO(O<l.rON rl rl r-l r{ rl
NCOCn(oootndc.iciodd,riN(\INr-lFlrl
Fl-iLnNf\N
'ic'iddr.dmcocoNNN
ol'4c1 ojna
NLOsfCnNrlt$sfsf<lst
€agfrrd
ulqn383ooocjcro
rnLL(!'o N'N3R3E
_9o
(oooo-oooo
Co
(UP(n
.=
E
=(lJ()coEiEcoU
Lo3oJ
boE
iEcFCc<
E
cn\c!qqFt@N(oocnrle{el (\l(\tlll
oo
(!F
EfEC
'4 crl q q .]? o')(o lJl sf sf cn c\l$ststst$<f
o-
OJt)
bof
=
cf
(\,
o-
L(U
-ooLL
c(o
uoo
oz
P(Jo
n4q40qqo)(osfanrrOrnl.r)|J)|J)lJ)l,
o)o)\\nqoo(otnsfrnN(o(o(o(o(o(o
oqqn\q\
O@f\LnmNf\ LO r.o (O (.o (O
nclc!nqnr-f o.l oo f\ (.o (O(otntnlnult,)
qnqoc\qrnrlO)ooNf-lf)tnsf$slsf
ec'?o)ol\olsfNOo)@Nsl sl sl cn cn cn
\o?c!ct?qn(OcOrl OlNtncococnNNN
uln'4oq\4oocnoNslNN N C\,1 r-l rl rl
oi\n4q4
CO f\ <f F{ @ l/)Nrlrlrl
\seu't\r:lJ.]ri@(OCOrrNN-l .-lrlrl
(O CO Cn t.o (.O r-{+-ioiN';+rncnNa\lNN
aoqU.)nc!nf\<fcnNHOsf sl <f st sl sl
rioLo-
o-4ctn883oooocjd
tnLLG',(I,N,,.,3R3E
.=
E
IoUCoE
coU
OJo-o-f
boE
(ELFCc<
E
eq'J.l4qc'lNslOOrltnNItrirlrl
bo
(I,F
(o
fcc
r{OrcO@cOO)F- 'ri 'ri + + ct;sfsfslsfsf$
o-otJ1
uo
=
f,
cf
(U
L
CL
L(o
-ooLL
C(o
(Joo
oz
P(Jo
c!\nloqoloNtolf)mN(o|J)Ln|f)rnLn
oqcolqqc'l
o.t N {J, (O t.rt <l(o(o(o(o(oro
\qo?.loqoqr.rot@Ntr}tf\ (.o (.o rO (.o (O
ulqqolc!oqNOO)ooOOr\(o (o l, rn rn u)
qno?440)
sfNF{OOt@t.r) lJ! r, l.rl st sf
ch(ost(o(oolric6c.i-idc;+slstslsf+
nqn4\u')@slcOrrOtoocomcoroNN
4oqc'lnqolOtornrr@(OCONNNTIT{
nc!4.1clct?tnOf\lr)NON (\ r-l rl rl el
nnoian4Ncnr-lOlNloNNNclrlr-{
qcc!oqc!q
(ONrlO)@f\cnrnmNNN
+dOrlr-ll.l-)crj d ri + cri ^isf sl st st sf sl
-oo-oo
4cl-1383oooctcjcj
o
Lfi''(l,N'N3R3E
tnoLfP(o
Loo-
EoF
o)(Jc(oE@o(-,xt!
oo
(EFE.E
(o:,cC
U1u1rff\lrrto(ooroNOlrlrlr-lN
llll
oo
(DF
(o
=L
L
eqq'4qul(orntnsf(n(osf st sl =f sf i+
o-ott,
oof
=
cf
(o
Lo-
L(o
-ooLL
c(!
(Joo
oz
P(Jo
qn\tqo)
O)f\tnsfNrlInrJ)tntnLnul
nnd] nr'?qolF-(c}rn+cn(o(o(o(oro(o
cf'! noq4qolrt o) I\ (J) ln cnN(O(O(o(o'.o
qololc.i4qNOt@00Nr\(oLnl,)lf)tnto
noqq\\nstFlOOroOool.r)!nlflslslst
nqocoq\nLnan-looto)sr sf sl st fo cn
nnc!4'JlnNSfNO@FcococnrnNN
tnr\o(oo)oto;+c.idd+NNNrlr-{rl
Cnrlrlto$N+ddcricidNFlrlelrl
44nqqoq(!,No@Locn
NNNTIF{-l
anleqoqtnc!o@r\rncncornNNN
ol 4 cYl c{'} cYl 4f\tnsfcnNrlslsfsfslssf
€ac2l;Verri
4ctn388ooocjoo
tn
L(E,o,c{,f}3R38
zotrfco
E.FVIo
d
o
oPG'(Joo-oO@
co,F
(I,P(./\
oor-l,,,
a
oln
6
(!o
o:-
T'o
oo-
-l===o&,
lr)9dEb'c='=oCJIrlt
,
l
,
tJ.)ornornrFiFlC\tN rl
(1.) arnleradual
t,tf
,
tt,
,,
ou0o
!toEE>;l
=iEl!Laro:CLtF=iilEF=otr9>.8
EE
=Q:xL lJ.,l
=o-
N
lnO
Ii
I
I
4
J
c.)
oor'{
II
tt,
-tU
Lo
=oJI
I
JU
OJo_o_l
Ii
I
,t
,,
spo5
oi!>aiE
ooOF
=8=Egl!EE1EE6
I
olJ)
N
I,t 6L(!o
E'o
LooLFIEL
=PoG,
,
rn
,
,
@N(OrnstrnN<t sf st sl st \t st
(9.) arnleradual
oor{
orn
6
(!o->r;(YF
T'o
Loocl.-l E
f
oE,
rn
N
I
gPdeb'c3'FoCJ
++
rnornornrFlFlNN
(1.)arngeradual
I
JU
I?
I
t
I
,
,,,
,
t,t
,,a,,
rnO
ou0(E
o
(ra>E
ruEogE9
cE
=e.E'o>EEgio:o1,It!
E
oz
oorl
orn
ta
t!oo.}NF
E'o
LooGFIC
oG,
rn
N
,
,I
N(.ornst(Y)N<f st st sf st sf
(3.) arnleladural
I,t,,
,
ttt
)U
OJ
=o)I
I
It
IoO06oogE<g>.o
=q.4stUFJOc(,cE<*
ESEc,LXO u.,rz
@sf
I
I,i
I
{'
I
oP(o(Joo-oo@
EoE(oPttl
Appendix B
Analysis Details
This appendix presents information about the methods used to analyze the data in this report.
The T-year exceedance temperatures presented in this report are statistical estimates based on
NORM and Plll probability distributions fitted using sets of sample observations. Exceedance
temperatures were calculated using the Frequency Factor method applied to the Norm and Plll
distributions (Chow et o1.,1988).
At least two sources of uncertainty are involved in these T-year exceedance temperature
estimates. One source is the selection of an appropriate probability distribution to represent
the sample observations; a second source is associated with how wellthe random sample of
observations collected represents the underlying population. The 12 (Chi-Squared) test is used
to determine if either the NORM or Plll distribution is more appropriate than the other to
represent the observations, and confidence intervals are calculated to provide a measure of
uncertainty in the estimated exceedance temperatures relative to their unknown population
values based on the fact that they are derived from a random sample of observations.
Selection of Distribution-12 (Chi-Squared) test
Assuming the sample observations adequately represent the underlying population, selection
of an unsuitable probability distribution will yield erroneous exceedance temperatures
wherever the fitted distribution deviates from the trend of the sample observations. For
example, application of the Normal distribution to observations with significant real skew will
induce errors in the estimated exceedance temperatures. One way this may be assessed is by
testing the "goodness of fit" of the NORM and Plll distributions to each set of sample
observations using a X' (Chi-Squared)test (Chow et a\.,1988). The 12-test is a hypothesis test in
which the null hypothesis, Ho, is that a proposed distribution together with its parameters fit
the observations well. The alternative hypothesis, H., is that the distribution and/or the
particular parameters are inadequate.
ln the 12 test, the range of n sample observations is divided into k intervals, and the number of
observations fl; occurring in each interval is compared with the theoretical number of
observations expected within each interval based on the fitted distribution, given by np(x).
Here, p(x) is the theoretical probability of the random variable with cumulative distribution
function F(x)falling within the rth interval bounded between xi and xr.-r. That is, p(x) =F(x)- F(x,t)
It essentially compares the number of observations occurring in each bin of a histogram of the
tt
data, with the number of occurrences expected within the range of each histogram bin based
on the fitted probability distribution. The squared differences of the observed minus expected
number of occurrences in each interval are normalized by the expected number of occurrences
and summed over all the intervals to give the test statistic 12.
k
[ni - np(x)12
,rp(.)
The sum 12. is the test statistic which is compared with a 1' distribution limiting value. The null
hypothesis is accepted if the test statistic, 1'. is lower than the 1' distribution limiting value.
A 12 distribution is the distribution of the sum of squares of v standard normal random
variables, z. The number of degrees of freedom, v, is given by v=k-m-1, where k is the number
of intervals, and m the number of parameters fitted for a particular distribution (m=2 for the
Normal distribution, and m=3 for Plll). The effect of m is that the limiting value for the Plll
distribution is smaller than that for the Normal distribution, so that the test is a little more
stringent for Plll to account for the fact that Plll has three parameters which allows greater
flexibility in the distribution to fit the observations. The X2 u,r-,limiting value has cumulative
probability 1- cr, where a is the significance level. A typical value is q=0.05; it gives the likelihood
of rejecting the null hypothesis when it is true. Tables of the X2,,r-o distribution function are
available in many statistics texts (e.g., Benjamin and Cornell,1970; Devore, 1987; Haan, 7977;
Lapin, 1983; Pearson and Hartley, L966).
Histograms are usually set up using uniformly sized increments of the variable for each interval
so that the histogram shape is similar to the shape of the probability density function fitted to
the data. However, for the 12 test, it is desirable to select the range of values for each interval
such that each interval has the same number of expected occurrences of the random variable
within it based on the fitted distribution (e.g., 20 intervals might be selected each with 1/2Oth or
5% probability of occurrence), and the commonly recommended smallest number of expected
occurrences in each interval is 5 (Benjamin and Cornell, L97Ol. Foranyfitted distribution other
than a uniform distribution, this requires that the span or range of the values defining each
interval will vary. ln the analysis performed here, each dataset was divided into a number of
intervals, k, sized so that the expected number of occurrences in each interval was at least 5,
that is, k<n/5. For example, with Caldwell there were n=11L years of data. The number of
intervals was limited by k<n/S=22.2. Thus,22 intervals were used, each having probability
p=Uk=0.0455 (4.55%).
The 12 test was applied to all the observations from each station, both on an annual basis for
Tavg and minTavg, and on a monthly basis for Tavg. On a WY basis, both the NORM and Plll
distributions passed the 12 test applied to Tavg and minTavg at each station. Generally, the Plll
72
x?Ii=1
distribution passed the 12 test as well as or by a greater margin than did the Normal
distribution, especially when the observations contained significant skew. lt is recommended
to use the Plll distribution values: When the skew is significant, as it often is for minTavg, Plll
likely provides more accurate results; when the skew is near zero, as commonly occurs with WY
Tavg, the Normal and Plll return period values are not very different, so selection of Plll to be
consistent induces no penalty and simplifies the selection process.
For the T.,, monthly data, both the Normal and Plll distributions passed the 12 test for most
months at most stations. Across twelve months at the seven stations, there were 84 station-
monthstested (ie.,7 stationsxl2months)foreachdistribution. FortheNormal distribution,T8
station-months passed the 12 test, and 6 failed. For the Plll distribution, 81 passed and 3 failed.
Station 350 (Caldwell) passed the 12 test for all station-months for both distributions.
Considering the general recommendation of this report to use the Plll distribution, I will discuss
only the three 12 test failures of the Plll distribution. These occurred for December at Station
450 (Boise), December at Station 700 (Rexburg), and November at Station 750 (ldaho Falls). Of
these, only December-Station 450 failed the 12 test for both the Normal and Plll distributions.
For November-Station 750, the data exhibits modest skew (-0.2), and the largest difference
between the return period estimates of monthly Tavg from the Normal and Plll distributions
occurs for the 100-year event and is only 0.7 "F . Thus, I recommend accepting the Plll return
period values, as they provide conservative (lower) temperature estimates for a specified
return period, and are not very different from the Normal distribution values.
For December-Station 700, I also recommend using the Plll results. The skew for this month is
nearly zero, causing the Plll return period temperature estimates nearly to converge with those
from the Normal distribution; there is at most on 0.2 'F difference between them.
December at Boise was the only month among all the station-months tested for which the Plll
distribution failed the 12 test by a significant margin. Comparison of the Boise data with that at
Caldwell and Twin Falls alleviates this concern. Both the Caldwell and Twin Falls data are
stongly correlated with the Boise data, having R2 values of 0.92 and 0.82, respectively, and both
passed the 12 test for December by a wide margin. The Boise data fails the 12 test because of a
concentration of data in the 30.4-31.3 "F range, for which the corresponding data at Caldwell
and Twin Falls is slightly more spread out, so that at Boise all of these data fall into a single
interval in the 12 test, whereas they spread across a couple of intervals at Caldwell and Twin
Falls. This concentration of data in a particular range at Boise could be the result of an observer
tendency to round to a particular number rather than another. This one interval at Boise is
responsible for its 12 test failure, and it is in a range of the data that is not of concern in this
analysis. Here the concern is to estimate the magnitudes of T-year return period events on the
L3
cold extreme side. Caldwell and Twin Falls include data for many more years than at Boise, but
even when the probability distributions are fitted to data from the same period as Boise (WYs
Lg4t-2O75) at these two stations, they still both pass the 12 test. The similarity among the
Boise, Caldwell and Twin Falls observations suggests that allthree datasets could likely be
represented by the same type of probability distribution (Plll) with similar parameters. lt is
notable that when the skew is calculated for December at Caldwell and Twin Falls for the same
time period as available at Boise, namely 1947-20!5, it is larger at each of these two stations
than when their full period of record data sets are used to calculate skew, and similar to that
obtained at Boise (approximately -1.4), and that this skew is very strongly affected by the very
cold December 1986 Tavg which occurred at all sites.
Most importantly, the regression line between the monthlyTavg values at Caldwell and Boise
has nearly a one-to-one slope and zero intercept, so that across the range of
December monthly Tavg values observed at either site, the estimated regression value for Boise
is never more than 0.5 "F different from the value at Caldwell. Thus, one would expect their
corresponding T-year return period values to be similar to each other. This is in fact the case:
they differ by less than 0.8 "F for the 100-year value, and only by 0.2 "F for the 5O-year value.
Consequently, even though the probability distribution fitted to Boise's December data fails the
12 test, T-year return period values estimated from it are close to what should be expected
based on the similar dataset collected at the Caldwell station.
Confidence Limits
The temperature data collected at each station constitute a random sample of the underlying
populations of temperatures and these samples have been used to estimate the true frequency
curves of the corresponding populations. lf a random sample consisting of the same number of
observations could be selected from a different period of time, they would probably produce a
different estimate of the population frequency curve. How well the observations represent the
underlying temperature population depends on the number of observations (sample size), its
accuracy, and whether or not the underlying distribution is known.
Confidence limits provide a measure of the uncertainty of the exceedance temperature at a
selected probability or return period. A range or confidence interval which brackets the true
exceedance temperature with a specified probability or confidence level, p, can be calculated
That is, for a two-sided confidence interval with an upper and lower confidence limit, and
confidence level p=9.9, there is a 90% probability that the limits span or encompass the true
exceedance temperature. The significance level, o, corresponding to the confidence level is
given by a=(1- $)/2, or 0.05 for the selected B=0.9.
t4
Approximate confidence limits for the T-year exceedance temperatures for the NORM and Plll
distributions were calculated using the lnteragency Advisory Committee on Water Data (1981)
method, also described in Chow, et al. (1988). Confidence limit values are reported in Table 2
in the main body of this report, and in Appendix A.
15