5<k 
 
 ^°^ 
 
 
 W 
 
 
 
 
 \b, »o.,« A <. *'TT«* «G V 
 
 P..'J&±'.\. <*.>££*.% *+..'J&i.S. c"*.c^:.* o >\. 
 
 
 V* V 
 W 1 .*tfta W .vriMfc V> 
 
 
 
 v><b- 
 
 
 O K 
 
 * A <* *^T77* .g v 
 
 
 ^. ^ 
 
 
 
 
 "^o 4 * 
 
 ^°^ 
 
 
 ^°^ 
 
 
 

 ^ # * A 
 
 * ^ 
 
 
 »1V« «> 
 
 A v 
 
 ,0 
 
 
 
 
 
 *, ^ °^ * • - • 
 
 VV 
 
 -j»V 
 
 
 
 ' <v* 
 
 *> V* '•*• • "° A v ' 
 
 
 
 
 
 
 
 ** v % 
 
 
 ^d* 
 
 
 'bV" 
 
 
 
 
 
 ,v^ 
 
 > ^ 
 
 lV>^ 
 
 
 
 i^ . K • - *rt .V 0* • , 
 
 4 O 
 
 ^°* 
 
 
 
 
 
IC 8941 
 
 Bureau of Mines Information Circular/1983 
 
 Field Determinations of a Probabilistic 
 Density Function for Slope Stability 
 Analysis of Tailings Embankments 
 
 By P. C. McWilliams and D. R. Tesarik 
 
 UNITED STATES DEPARTMENT OF THE INTERIOR 
 
Information Circular 8941 
 
 1 
 
 Field Determinations of a Probabilistic 
 Density Function for Slope Stability 
 Analysis of Tailings Embankments 
 
 By P. C. McWilliams and D. R. Tesarik 
 
 UNITED STATES DEPARTMENT OF THE INTERIOR 
 
 James G. Watt, Secretary 
 
 BUREAU OF MINES 
 Robert C. Horton, Director 
 
<A 
 
 \M ^ 
 
 \ 
 
 >A 
 
 0' 
 
 This publication has been cataloged as follows: 
 
 McWilliams, P. C. (Paul C.) 
 
 Field determinations of a probabilistic density function for slope 
 stability analysis of tailings embankments. 
 
 (Information circular / Bureau of Mines ; 8941) 
 
 Bibliography: p. 13. 
 
 Supt. of Docs, no.: I 28.27:8941. 
 
 1. Spoil banks— Safety measures. 2. Tailings dams— Safety mea- 
 sures. 3. Slopes (Soil mechanics). 4. Soil mechanics— Statistical 
 methods. 5. Probabilities. I. Tesarik, D. R. (Douglas R.). II. Title. 
 III. Series: Information circular (United States. Bureau of Mines) ; 
 8941. 
 
 -W295.U4 622s [622.7] 83-600123 
 
CONTENTS 
 
 Page 
 
 Abstract 1 
 
 Introduction 2 
 
 Acknowledgments 2 
 
 Probabilistic approach 2 
 
 Propagation of error 3 
 
 Distribution properties 5 
 
 Propagation of error applied to the data 9 
 
 Confidence interval for the factor of safety 9 
 
 X 
 
 Geotechnical innovation and probabilistic modeling 10 
 
 Conclusions 12 
 
 References 13 
 
 Appendix. — Data collection, slope stability, and laboratory testing 14 
 
 ILLUSTRATIONS 
 
 a! 
 \l 
 
 1. Slip circle factor of safety formulation 2 
 
 2. Concept of probability of failure 3 
 
 3. Factor of safety histograms 7 
 
 4. Internal friction angle histograms 7 
 
 5. Cohesion histograms 7 
 
 6. Soil density histograms 7 
 
 7. Ninety-five percent confidence interval — factor of safety, CDA Mine — with 
 
 varying sample size 11 
 
 8. Ninety-five percent confidence interval — factor of safety, SW Mine — with 
 
 varying sample size 11 
 
 9. Variance reduction applied to spatially oriented shear strength values... 12 
 
 A-l. SW data station pattern 15 
 
 A-2. Idealized profile — SW embankment 16 
 
 A-3. Range of grain-size curves for CDA data 17 
 
 TABLES 
 
 1. Basic statistics for soil parameters 4 
 
 2. Three model curve fits to Fellenius 1 factor of safety 6 
 
 3. Normal curve-fit parameters for <j), c, y, and F 8 
 
 4. Comparison of coefficient of variation estimates for Fellenius' factor of 
 
 safety 9 
 
 5. Correlation coefficients 9 
 
 A-l. CDA laboratory data 18 
 
 A-2 . SW laboratory data 26 
 
 

 UNIT OF 
 
 MEASURE 
 
 ABBREVIATIONS USED 
 
 IN THIS REPORT 
 
 deg 
 
 degree 
 
 
 mm/sec 
 
 millimeter per second 
 
 ft 
 
 foot 
 
 
 pcf 
 
 pound per cubic foot 
 
 in 
 
 inch 
 
 
 pet 
 
 percent 
 
 mm 
 
 millimeter 
 
 psi 
 
 pound per square inch 
 
FIELD DETERMINATIONS OF A PROBABILISTIC DENSITY FUNCTION 
 FOR SLOPE STABILITY ANALYSIS OF TAILINGS EMBANKMENTS 
 
 By P. C. McWilliams 1 and D. R. Tesarik 2 
 
 ABSTRACT 
 
 Theoreticians in soil mechanics have been pursuing a probabilistic 
 approach to the factor of safety of an embankment or dam for the past 
 10 years. The motivation for this work is in contrast to the current 
 practice of deterministically computing a factor of safety and treating 
 it as an absolute with no regard to its inherent statistical 
 variability. 
 
 Basic to the probabilistic approach is the selection of an appropri- 
 ate statistical model to represent the histogram or probability density 
 function (PDF) of the factor of safety values. Rather than simply as- 
 suming which PDF is appropriate, the Bureau of Mines collected data at 
 two waste disposal embankments for consideration. This report ad- 
 dresses three candidate models, using the techniques of nonlinear curve 
 fitting, and identifies the "best" model. A propagation of error for- 
 mula for estimating the variability of Fellenius' factor of safety is 
 also discussed. 
 
 Mathematical statistician. 
 
 1 
 
 2 Mathematician. 
 Both authors are with the Spokane Research Center, Bureau of Mines, Spokane, Wash. 
 
INTRODUCTION 
 
 Theoreticians in soil mechanics have 
 been pursuing a probabilistic approach 
 to the factor of safety of an embank- 
 ment or dam for the past 10 years. The 
 motivation for this work is in contrast 
 to the current practice of deterministi- 
 cally computing a factor of safety and 
 treating it as an absolute with no re- 
 gard to its inherent statistical vari- 
 ability. Stated simply, in the past, 
 soils engineers have used a single pa- 
 rameter, the factor of safety. It would 
 now seem prudent to impose an additional 
 parameter, the dispersion of the fac- 
 tor of safety. Given these two param- 
 eters, one may then compute the proba- 
 bility of failure as a measure of slope 
 stability. 
 
 Basic to the probabilistic approach is 
 the selection of an appropriate statisti- 
 cal model to represent the histogram or 
 probability density function (PDF) of the 
 factor of safety values. It is certainly 
 easy to hypothesize such a model; the 
 normal PDF is almost always the first 
 choice. For this reason, the Bureau of 
 Mines collected data at two waste dis- 
 posal embankments such that their PDF's 
 could be investigated. This report is 
 addressed to investigating candidate mod- 
 els via the techniques of nonlinear curve 
 fitting, and then choosing the "best" 
 model available. A propagation of error 
 formula for estimating the variability 
 of Fellenius' factor of safety is also 
 discussed. 
 
 ACKNOWLEDGMENTS 
 
 The authors would like to thank Lynn and careful 
 Atkins and Joe Jucha for their persistent data. 
 
 testing of this large set of 
 
 PROBABILISTIC APPROACH 
 
 There are several prior discussions of 
 applying probability theory to slope sta- 
 bility analysis (l_-2, ]_, .12, 15-16, ). 3 
 For orientation purposes, it would seem 
 prudent to briefly sketch the problem. 
 Most dam design engineers use the methods 
 of either Bishop-Morgenstern or Fellenius 
 (_5_, 7_, 9) to compute the factor of safety 
 for slope stability design. These tech- 
 niques are deterministic in that one val- 
 ue is computed which measures the "safety 
 of the dam." The basic postulate is that 
 of a potential slip-circle failure. In 
 terms of moments, the factor of safety is 
 the ratio of the resisting moment to the 
 overturning moment of the embankment 
 (fig. 1). If this ratio is greater than 
 1, the structure is assumed to be in a 
 nonfailure state. Often there are so- 
 called rules of practice; for example, 
 a factor of safety of 1.5 or greater is 
 required in some applications. 
 
 3 Underlined numbers in parentheses re- 
 fer to items in the list of references 
 preceding the appendix. 
 
 The probabilistic approach suggests 
 that in addition to computing the fac- 
 tor of safety, one should also include 
 its variability. One such approach is 
 to calculate a confidence interval for 
 the factor of safety by collecting sev- 
 eral samples and applying the theorem 
 that a mean value (in this case, the 
 average factor of safety value) is 
 normally distributed (8). This is dis- 
 cussed in detail in the section entitled 
 "Confidence Interval for the Factor of 
 
 r- 
 
 — __ _ 
 
 ~-5 a 
 
 dius 
 
 
 
 / 
 / 
 
 ~~~~---_ 
 
 / 
 
 
 / 
 
 
 / 
 
 
 
 / 
 
 
 
 
 / 
 
 
 
 
 
 / . 
 
 
 
 
 / 
 
 
 
 / W 
 
 
 
 
 >^ 
 
 Si N 
 
 s 
 
 
 «\| 
 
 w. 
 
 FIGURE 1. - 
 
 Slip circle \ 
 
 formulation 
 
 . 
 
 
 
 
 
 KEY 
 
 th 
 
 = Weight of i ln slice 
 
 = Normal force, i ,h slice 
 
 = Resisting shear force 
 
Safety." A necessary ingredient in most 
 probabilistic work is the assumption of a 
 PDF that characterizes a population of 
 factor of safety values. 
 
 Another approach is to compute the 
 probability of failure, which is repre- 
 sented by the area under the PDF to the 
 left of the value 1 (fig. 2). The main 
 objective of this report was to collect 
 enough sample values from two tailings 
 
 embankments to establish the PDF for the 
 factor of safety values. In practice, it 
 would not be expedient to expend the time 
 and money to collect the necessary number 
 of samples required to derive the PDF. 
 Work such as that done herein should pro- 
 vide some assurance that it would not be 
 unreasonable to postulate a particular 
 PDF without actually collecting a partic- 
 ularly large sample of data. 
 
 PROPAGATION OF ERROR 4 
 
 An interesting alternative to collect- 
 ing enough samples to establish a PDF 
 is to apply the statistical technique 
 known as propagation of error (6). This 
 technique will approximate the standard 
 deviation of the factor of safety (sp). 
 It may not be convenient for the designer 
 to collect enough data to compute Sp di- 
 rectly; he or she may instead assume 
 values for the coefficient of variation 
 for the soil properties — and then apply 
 propagation of error. Reference is 
 invited to either Lee and Singh ( 11 ) or 
 table 1 of this paper for candidate co- 
 efficient of variation values. 
 
 Mathematical 
 follows: 
 
 considerations 
 
 are as 
 
 Given a function of several variables, 
 
 G = G (a, b, c), 
 
 (1) 
 
 4 There 
 between 
 
 exist 
 the 
 
 notational 
 disciplines 
 
 ambiguities 
 of the 
 
 mathematicians-statisticians and that of 
 
 the geotechnical engineers, 
 per, deference is given to 
 
 In this pa- 
 the notation 
 
 of mathematics and statistics. 
 
 
 
 
 KEY 
 
 
 
 
 F = Factor of safety 
 
 
 
 
 F = Mean factor 
 
 
 
 
 of safety 
 
 
 
 
 s F = Standard deviation 
 
 
 
 /\ 
 
 of F 
 
 
 
 A 
 
 l F c = Critical factor 
 
 Probability / 
 
 
 ! / 
 
 \ of safety 
 
 of fa 
 
 i 
 
 i 1 u r e / 
 
 ^s F -^ 
 
 / 
 
 Distribution 
 
 of F >v 
 
 F c = 1 . F 
 
 FIGURE 2. - Concept of probability of failure, 
 
by propagation of error, the variance of G (s G ), is given by 
 
 Sg = G a s a + G b s b + G c s c + 2r ab G a G b s a s b 
 + 2r ac G a G c s a s c + 2r bc G b G c s c s b , 
 where G\ = partial derivative of G with respect to the i"^ parameter, 
 
 (2) 
 
 and 
 
 S| = variance of the i— parameter, 
 
 r|j = correlation coefficient for i— and j— parameters 
 
 Assume that the embankment of consideration is not "zoned"; that is, it is of a 
 homogeneous nature. 
 
 Fellenius' equation for the factor of safety (F) for soils may be written as 
 
 - cL + tan <j) £ (y A| cos 0[ - U] A£|) 
 Y Z|Aj sin 0| 
 
 where c = cohesion of soil, 
 
 <j) = angle of internal friction, 
 
 L = total arc length of slip circle, 
 
 Y = density of soil, 
 
 Uj = pore pressure, i— slice, 
 
 Aj = area, i— slice, 
 
 0j = angle of tangent to arc, it-^ slice, 
 
 AA| = arc length, i— slice, 
 
 and £ = summation over the "i" slices, i = 1, n. 
 
 TABLE 1. - Basic statistics for soil parameters 
 
 (3) 
 
 Slope stability 
 parameter 
 
 Mean 
 
 C v , pet 
 
 Slope stability 
 parameter 
 
 Mean 
 
 C v , pet 
 
 CDA SITE (74 SAMPLES) 
 
 SW SITE (130 SAMPLES) 
 
 * ■ 
 
 c 
 
 Y 
 
 F-Bishop..., 
 F-Fellenius, 
 
 -deg 
 .psi 
 .pcf 
 
 36.74 
 
 3.52 
 
 114.00 
 
 1.54 
 
 1.43 
 
 2.18 
 
 2.94 
 
 6.06 
 
 .41 
 
 .40 
 
 5.9 
 83.5 
 
 5.3 
 26.6 
 28.0 
 
 * 
 
 c 
 
 Y 
 
 F-Bishop. .. 
 F-Fellenius , 
 
 .deg 
 .psi 
 .pcf 
 
 39.13 
 
 4.32 
 
 106.85 
 
 2.07 
 
 1.95 
 
 4.14 
 
 4.14 
 
 5.65 
 
 .27 
 
 .24 
 
 10.6 
 95.8 
 5.3 
 13.0 
 12.4 
 
 <}> = angle of internal friction. 
 
 c = cohesion. 
 
 Y = soil density. 
 
 F = factor of safety. 
 
 Mean = sample average value. 
 
 S = sample standard deviation. 
 
 Cw = coefficient of variation = 
 
 100-S 
 
 ■ 
 
 mean 
 
See figure 1 for the geometry of Fellenius' method. 
 
 Applying the propagation of error formula to equation 3 yields 
 
 ,2 2 
 
 s F = *> s^ + F c s c + F y s y + I F U| s u 
 
 2 r c ,y F c F Y s c s Y + 
 
 . + 2r 
 
 u n-1 
 
 + 2r c,<|> F c F <|> s c s <j> 
 
 "n-r u n &u n-r u n. 
 
 (4) 
 
 The required partial derivatives are 
 
 u ? 
 
 and 
 
 Y E A| sin G| ' 
 
 sec 2 <{> Z (y A| cos 0|- U| &l\) 
 ~~y £ A| sin 
 
 -tan <}> A£j 
 
 Y E A| sin Oj ' 
 
 -cL + tan <f» Zu| Mj 
 
 Y 2 I A| sin 0, 
 
 (5) 
 (6) 
 (7) 
 (8) 
 
 Of particular interest is the selection 
 of Fellenius' equation rather than that 
 of Bishop. Fellenius 1 equation gives a 
 "closed solution" for the factor of safe- 
 ty value, while Bishop's equation is not 
 nearly so convenient, with an iterative 
 process being required for solution. Al- 
 so, many practioners and soil mechanics 
 text authors still seem to prefer Felle- 
 nius' formulation. Later in this report, 
 the propagation of error methodology will 
 be applied to the collected data sets. 
 
 A proper measure of the uncertainty of 
 the factor of safety involves more than 
 
 simply computing its standard deviation. 
 Pore pressure uncertainty is a very im- 
 portant topic in itself (3, 1J), 14 ) and 
 is currently considered the weak link in 
 error analysis of the factor of safety 
 value. Spatial variability could be as- 
 sessed through three components: (1) the 
 natural heterogeneity of the soil, 
 (2) measurement error, and (3) limited 
 information about subsurface conditions. 
 Anderson (2^) discusses the merits of con- 
 sidering model error when assessing the 
 variability of the factor of safety. 
 
 DISTRIBUTION PROPERTIES 
 
 Data were collected at two sites — 
 a silver-lead-zinc mine in the Coeur 
 d'Alene mining district of Idaho (CDA 
 data), and a Southwest U.S. copper mine 
 (SW data). The appendix describes the 
 field collection of the data. Table 1 
 enumerates basic statistics from these 
 two sites; effective stress is used 
 throughout. 
 
 Note that a rather large number of sam- 
 ples were obtained at each site, giving a 
 
 significant population size for consider- 
 ation. The variability in the internal 
 angle of friction (<))), cohesion (c), and 
 soil density (y) is consistent with the 
 results of Lee and Singh's (11) earlier 
 works. In fact, <(> has less variation 
 than anticipated, although Singh's work 
 focused on variability between laborato- 
 ries rather than on within-laboratory 
 variability. Note the close relationship 
 between the values of Bishop's factor of 
 safety and that of Fellenius. Since the 
 
propagation of error work uses Fellenius' 
 factor of safety, we will only use Felle- 
 nius' numbers henceforth. 
 
 To better visualize the data, histo- 
 grams of the data are shown in figures 3 
 through 6. In figure 3, histogram of the 
 factor of safety, note the wide variabil- 
 ity in the CDA data. Over 10 pet of the 
 data lies to the left of 1; thus the 
 probability of failure is predicted to 
 be quite high. However, there are two 
 points to keep in mind: 
 
 paper considers the normal, log-normal, 
 and Weibull distributions. Table 2 sum- 
 marizes curve-fitting these functions to 
 Fellenius' factor of safety values. 
 
 Two interesting points 
 from table 2: 
 
 may be drawn 
 
 1 . The logarithmic transformation does 
 not improve fitting the PDF's. This is 
 reasonable, for the log-normal transfor- 
 mation works best for data that are ini- 
 tially skewed to the left. 
 
 1. In this case, the material is con- 
 tained behind a berm of borrow material; 
 thus the factor of safety values are sim- 
 ulated, not actual values. 
 
 2. This wide variability gives credi- 
 bility to the variance reduction concept, 
 which is intrinsic to the probabilistic 
 work of Vanmarcke and Anderson (2^, 16 ) . 
 Thus, variance reduction, although a con- 
 troversial concept as a "pragmatic value" 
 at this time, is conceptually acceptable 
 and at least partially verified as to 
 need by this distribution. 
 
 Certainly the histogram for the factor 
 of safety (fig. 3) demonstrates a strong 
 central tendency in both cases; the next 
 logical question is whether a conven- 
 tional mathematical PDF "fits" the data 
 properly or not. There are many candi- 
 date functions for consideration; this 
 
 2. The Weibull PDF does not improve on 
 the curve fits for the normal PDF. Since 
 the Weibull is more "obscure" (for exam- 
 ple, parameters are not easily under- 
 stood, and the curve-fitting is appreci- 
 ably more difficult) , there seems to be 
 no reason to use it in preference to the 
 normal PDF. 
 
 It is true that there are other candi- 
 date distributions — the beta, gamma, 
 Poisson, et al. — that could have been 
 considered. In particular, the geotech- 
 nical community has shown some preference 
 for the beta PDF. Upon investigation of 
 the properties of the Weibull and beta 
 PDF's, it is found that both are versa- 
 tile functions that can fit a variety of 
 situations in a very similar manner. Our 
 choice is to investigate just the Weibull 
 PDF in this report. It is felt that this 
 investigation is sufficient and the 
 
 TABLE 2. - Three model curve fits to Fellenius' factor of safety 
 
 Probability 
 
 density 
 functions 1 
 
 Index of 
 determination 2 
 
 X 2 values 3 
 
 Probability 
 
 density 
 functions 1 
 
 Index of 
 determination 2 
 
 X 2 values 3 
 
 CDA SITE 
 
 SW SITE 
 
 Log normal. . . 
 
 0.62 
 .59 
 .62 
 
 4 18.41 
 NA 
 NA 
 
 Log normal . . . 
 
 0.96 
 .94 
 .96 
 
 5 6.13 
 
 NA 
 NA 
 
 NA Not available. 
 
 1 A11 curve fitting done using Gauss' nonlinear iterative technique (13). 
 
 Measures how well the data agree with curve-fit function. Reduces to the correla- 
 
 used for comparison is 9.49 for these 
 
 tion coefficient in the linear case (13) . 
 3 Goodness-of-fit test; the critical value 
 
 cases. 
 
 4 
 
 Reject. 
 5 Accept. 
 
20 
 
 > 
 
 o 
 
 Z 40 
 
 M 
 
 O 
 
 3d 
 
 Coeur d' Alene 
 
 20 
 
 ■ : 
 
 Southwest 
 
 F = 1.95 
 S c =0.24 
 
 0.6 1.0 1.4 1.8 2.2 2.6 3.0 
 
 F (FELLENIUS) 
 
 FIGURE 3. - Factor of safety histograms. 
 
 
 I 
 
 I I 
 
 ^^r\ Coeur 
 
 flT 
 
 Alene 
 
 
 10 
 
 
 
 
 c =3.53 
 S c =2.94 
 
 
 
 
 
 H 
 
 i Vr 
 
 
 I 
 
 
 40 
 
 > 
 O 
 
 z 
 
 M 
 
 O 30 
 
 LU 
 X 
 
 20 
 
 10 
 
 COHESION, psi 
 
 FIGURE 5. - Cohesion histograms. 
 
 30 
 
 20 
 
 10 
 
 40 
 
 30 
 
 20 
 
 10 
 
 25 30 35 40 45 50 
 PHI ANGLE, deg 
 
 FIGURE 4. - Internal friction angle histograms. 
 
 20 
 
 uj 
 
 ° 30 
 
 Coeur d' Alene 
 
 Southwest 
 
 FIGURE 6. - Soil density histograms. 
 
normal PDF is as good a choice as can be 
 made for these two examples. It is true 
 that the normal distribution's curve fit 
 to the CDA is not outstanding as indi- 
 cated by the chi-square measure. The 
 data are simply not conducive to a good 
 curve fit, regardless of what function 
 one might try. 
 
 Table 3 enumerates pertinent statistics 
 and curve-fit parameters for internal 
 angle of friction, cohesion, and density. 
 
 In view of the preceding discussion, 
 and since the remaining PDF's are of 
 lesser interest to us, only the normal 
 curve will be used to fit these histo- 
 grams. The internal angle of friction 
 distributions (fig. 4), although again 
 demonstrating central tendency, are each 
 skewed, both to the right. The index of 
 determination for both fits is satisfac- 
 tory, with a somewhat better fit for the 
 SW data. Note that the fitted parameters 
 vary somewhat from the sample means and 
 standard deviations; the degree of vari- 
 ability is a function of the goodness of 
 fit. 
 
 It is not surprising that the cohesion 
 value (fig. 5) has the largest variabil- 
 ity, for this is apparently inherent in 
 the cohesion parameter ( 11 ) . Thus the 
 normal curve approximations to the cohe- 
 sion histograms are not particularly im- 
 pressive, as indicated by the relatively 
 low indices of determination. Here the 
 histograms would indicate a slight skew- 
 ness to the left. 
 
 Finally, consider the histogram (fig. 
 6) for the soil density. Again, curve 
 fitting these curves is of somewhat nebu- 
 lous value; for example, a uniform dis- 
 tribution may be a better candidate for 
 the SW data. But to be consistent, the 
 normal curve approximation was used; the 
 resulting indices of dispersion reflect 
 the degree of disagreement between the 
 data and fitted function. 
 
 To summarize, central tendency is ex- 
 hibited by all of the histograms (and 
 corresponding PDF's) considered. The 
 normal curve seems to be an acceptable 
 candidate model. For consistency's sake, 
 the normal curve was then used for all 
 
 TABLE 3. - Normal curve-fit parameters for <j> , c, 
 y, and F 
 
 Normal curve-fit 
 
 parameter 
 
 Area 
 
 Mean 
 
 Index of 
 determination 2 
 
 CDA SITE 
 
 ♦ 
 
 c 
 
 Y 
 
 F-Fellenius 
 
 .deg.. 
 .psi. . 
 .pcf. . 
 
 118.78 
 
 115.22 
 
 147.38 
 
 14.14 
 
 0.82 
 .79 
 .62 
 .62 
 
 SW SITE 
 
 * : 
 
 c 
 
 Y 
 
 F-Fellenius, 
 
 ,deg.. 
 .psi. . 
 .pcf. . 
 
 291.09 
 
 296.44 
 
 441.30 
 
 17.72 
 
 .91 
 .85 
 .88 
 .96 
 
 1 Equation for normal PDF used: 
 
 - (x - mean) 2 /2 (std. dev.) 2 
 
 y = 
 
 (area) 
 
 /2rr (std. dev.) 
 where y = dependent variable (histogram value) , 
 x = independent variable (F, <)) , c, y)> 
 2 A measure of goodness of fit for nonlinear functions; 
 see reference 13 for details. 
 
histogram curve fitting. Also, the se- 
 verity of concern decreases considerably 
 as one moves from the factor of safe- 
 ty to the supporting data sets. Thus, 
 for probabilistic work, in finding the 
 
 probability of failure and in setting 
 confidence intervals on the estimated 
 mean factor of safety value, these two 
 examples fortify use of the normal proba- 
 bility density function. 
 
 PROPAGATION OF ERROR APPLIED TO THE DATA 
 
 As stated previously, it is desirable 
 to take only a few field samples and use 
 the propagation of error technique (6) to 
 estimate the variance of the factor of 
 safety. However, since we have complete 
 sets of data available, we naturally used 
 all these data for comparative slope sta- 
 bility work herein. (See appendix for 
 the data description.) Table 4 shows the 
 coefficient of variation for Fellenius' 
 factor of safety value with assumed pore 
 pressure coefficient of variation values 
 of 0, 10, and 20 pet. These values are 
 compared to the sample coefficient of 
 variation value. In the case of the SW 
 embankment , the agreement between the 
 propagation values and that of the sample 
 data is quite good. The CDA data do not 
 agree as well, but the divergence would 
 seem acceptable. Note that the pairwise 
 correlations between the soil parameters 
 (for example, "<j>" and "c") may or may not 
 be included in the computations, depend- 
 ing on the user's preference. We chose 
 to use these correlation coefficients in 
 our computations. Table 5 enumerates the 
 
 pairwise correlation coefficients used in 
 calculating table 4. 
 
 TABLE 4. - Comparison of coefficient 
 of variation estimates for Felle- 
 nius' factor of safety 
 
 Coefficient of variation 
 
 pet 1 
 
 10 pet 1 
 
 20 pet 1 
 
 Actual sample values 2 
 
 1 The entries are the propagation of er- 
 ror computed values for the specified 
 pure pressure. 
 
 2 The entries are the comparative values 
 obtained from the available sample data — 
 see table 1. 
 
 TABLE 5. - Correlation coefficients 
 
 Correlation coefficient 
 r c,4> 
 
 r c,Y 
 
 r <J>,Y 
 
 CONFIDENCE INTERVAL FOR THE FACTOR OF SAFETY 
 
 There is one basic statistical approach 
 that can be easily applied to the factor 
 of safety computation which provides a 
 simplistic marriage between the world of 
 probability and the presently used deter- 
 ministic computation — putting a confi- 
 dence limit about the factor of safe- 
 ty value. A brief review of statistical 
 principles would seem in order. Suppose 
 one is concerned with a variable whose 
 PDF is not necessarily normally distri- 
 buted, but for which the population mean 
 and standard deviation exist. Next, a 
 sample size "n" is chosen. By some ran- 
 dom process, "n" samples are selected 
 from the original population and a sample 
 mean (x) is computed. This process is 
 then repeated until a population of 
 
 sample means (all of which are of the 
 preselected sample size "n") exists. The 
 Central Limit Theory of Statistics states 
 that the PDF of mean values will be nor- 
 mally distributed provided "n" is suffi- 
 ciently large. Furthermore, the popula- 
 tion mean of the new distribution — the 
 distribution of sample means — is the same 
 as the population mean of the original 
 PDF, but the standard deviation of the 
 new distribution equals the original 
 PDF's standard deviation divided by the 
 square root of "n." When the Central 
 Limit Theorem is actually applied to a 
 data set, only one sample of size "n" is 
 taken from which the sample mean and 
 standard deviation are computed. 
 
10 
 
 This powerful theorem can be applied to 
 the distribution of factor of safety val- 
 ues. The key of the theorem is, of 
 course, how many samples are required for 
 it to be valid. The answer to this query 
 is certainly not simple; if the original 
 distribution is very similar to the nor- 
 mal curve, then small sample sizes suf- 
 fice. For symmetrical distributions (the 
 preceding work and that of Baecher and 
 Marr (_3) substantiate that one may assume 
 symmetry) , a sample size of eight or 
 greater would seem appropriate. Thus the 
 computational procedure would be as 
 follows: 
 
 1. Collect a representative set of 
 soil properties; a minimum of eight sets 
 is recommended. Compute a corresponding 
 set of factor of safety values. 
 
 2. Compute the sample mean (F) and 
 standard deviation (s F ) for these factor 
 of safety values. 
 
 3. Apply the Central Limit Theorem by 
 forming a 95-pct confidence interval for 
 the true but unknown population mean fac- 
 tor of safety value (up). The following 
 computation is requisite: 
 
 where 
 
 F ± to. 975 ( n ~l) * s f/ ^i = 95-pct confidence interval, 
 n = sample size, 
 
 and tg. 975 (n-1) = "t" distribution value, which depends on sample size 
 
 and the level of confidence. 
 
 - 1 
 
 There is no set rule that mandates a 95- 
 pct confidence interval; this is a con- 
 ventional and conservative choice. 
 
 Let us investigate what it meant by a 
 confidence interval. For example, a 95- 
 pct confidence interval implies that if 
 one were to form 100 such intervals , 
 95 of these would contain the true (but 
 unknown) population parameter. In prac- 
 tice, one computes only one such interval 
 and relies on statistical theory to pro- 
 vide the statement of confidence or 
 assurance. 
 
 A simulation may prove illustrative. 
 The authors selected, via random sam- 
 pling, 16 sample factor of safety values 
 from each of the previously discussed 
 data populations. It was assumed that 
 the computed sample mean value was a best 
 approximation to the true factor of safe- 
 ty value. Then confidence intervals for 
 subsamples of size 4 were formed, then of 
 size 8, and finally of size 16. These 
 
 confidence intervals are shown in figures 
 7 and 8 for the two data populations of 
 interest. Note that in all but one case 
 the 95-pct confidence intervals did con- 
 tain the overall sample mean. Also, note 
 that the intervals tend to lessen in 
 length as the sample size increases. In 
 figure 7 — the CDA data — samples of size 4 
 include factor of safety values less than 
 1 in three of the four cases. Also, one 
 of the two samples of size 8 extends be- 
 low a factor of safety value of 1. This 
 is, of course, an indicator of concern 
 for the embankment designer. 
 
 Again, the preceding simulation is tu- 
 torial, for in practice one would obtain 
 only one confidence interval and use it 
 to make a statement about the factor of 
 safety. Furthermore, an example is, at 
 best, illustrative and certainly does 
 not replace theoretical considerations. 
 Ideally, the interval would contain no 
 factor of safety values below the criti- 
 cal value of 1. 
 
 GEOTECHNICAL INNOVATION AND PROBABILISTIC MODELING 
 
 There is a new approach regarding 
 the "best" model for the factor of 
 safety calculation. The traditional 
 
 two-dimensional slip circle of Fellenius 
 and Bishop is being challenged. In par- 
 ticular, a three-dimensional cylinder has 
 
11 
 
 3.0 
 
 2.6 
 
 2.2 
 
 n = 4 
 
 >- 
 LU 
 
 < 1.8 — 
 CO 
 
 O 1.4 = 
 
 O 
 
 < 
 
 1.0 
 
 .6 (— 
 
 n = 8 
 
 n = 16 
 
 F F = 1.43 
 
 , F I 
 
 Accep 
 Reject F 
 
 FIGURE 7. - Ninety-five percent confidence 
 interval-factor of safety, CDA Mine— with vary- 
 ing sample size. 
 
 been postulated by Vanmarcke and others 
 (—> 16) • Theoretical development reduces 
 the cylindrical model effectively to that 
 of Bishop (5, 9_) , but with end-effect 
 forces considered. 
 
 A most important concept in the geo- 
 technical works of Vanmarcke (16) and 
 Anderson (2^) is variance reduction. This 
 rather complex topic is explained in 
 depth in the two aforementioned refer- 
 ences; the following is a heuristic over- 
 view. Rather than being interested in 
 the usual statistical value of the vari- 
 ance of the strength parameter, the geo- 
 technical engineer is concerned when a 
 succession of weak strength values oc- 
 curs. In such a case, the possibility 
 of failure is greatest. If one were to 
 envision a moving average curve being fit 
 to a spatial succession of strength val- 
 ues, the variability from the moving 
 
 ^ .0 
 
 n=4 
 
 
 
 2.2 
 
 __ 
 
 
 r n = 8 
 
 
 
 
 
 
 
 
 
 n= 16 
 
 >- 
 
 
 
 
 
 
 
 
 
 
 UJ 
 
 
 
 
 i > 
 
 
 
 
 F F =1.95 
 
 
 
 1 i 
 
 
 — 1 1 
 
 
 
 U. 
 
 ii < 
 
 
 i > 
 
 
 ' 
 
 < 1.8 
 
 
 
 
 
 
 
 
 
 — 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 LL 
 
 
 
 
 
 
 -*- 
 
 
 o 
 
 
 
 
 
 
 
 DC 
 
 
 - 1 - 
 
 
 
 O 1.4 
 
 
 
 — 
 
 h- 
 
 
 
 
 O 
 
 
 
 
 < 
 
 
 
 
 LL 
 
 
 
 Accept F | 
 
 
 
 
 1.0 
 
 
 
 Reject F I 
 
 FIGURE 8. - Ninety-five percent confidence 
 interval— factor of safety, SW Mine— with varying 
 sample size. 
 
 averages is representative of the desired 
 reduced variance (fig. 9). A scaling 
 factor, variance reduction, is used to 
 reduce the statistical variance value to 
 the desired variance value. The actual 
 computation of the scaling factor is not 
 as simple as described herein. Involved 
 is a plot of the autocorrection function 
 for the values of concern. Next, a curve 
 is fit to the autocorrelation function, 
 and said function is included in an inte- 
 gration that computes the desired reduced 
 variance value. 
 
 Two major problems in the application 
 of the probabilistic model were found 
 during a recent field test under a Bureau 
 of Mines contract. One concerns the ef- 
 fects of variance reduction on the prob- 
 ability of failure, and the other is the 
 high cost of obtaining strength data 
 using a penetrometer. 
 
 The variance reduction value proved to 
 be quite severe, effectively reducing the 
 factor of safety PDF to a single spike. 
 The dilemma is that one has gone through 
 the complex mechanism of probabilistic 
 slope stability and has only obtained a 
 univalued answer, as in the deterministic 
 
12 
 
 Q 
 
 
 LU 
 
 
 O 
 
 
 < 
 
 CO 
 
 1 
 
 LU 
 
 T 
 
 > 
 
 \- 
 
 < 
 
 (D 
 
 > 
 
 Z 
 
 _l 
 
 LU 
 
 -1 
 
 DC 
 
 < 
 
 H 
 
 1- 
 
 CO 
 
 < 
 
 
 0- 
 
 
 CO 
 
 
 KEY 
 
 Sp=Point standard deviation of data 
 S r =rSp=Reduced standard deviation 
 
 s r §i 
 
 r=Variance reduction factor 
 S=Mean strength value 
 
 t 
 
 V^ 
 
 FIGURE 9. 
 
 DISTANCE ALONG EMBANKMENT CENTERLINE 
 
 Variance reduction applied to spatially oriented shear strength values. 
 
 approach. Only replicated fieldwork will 
 verify whether or not this is the general 
 case. 
 
 To accommodate the computations for 
 variance reduction, a sequence of closely 
 spaced strength values must be obtained 
 in all three dimensions of the dam or 
 
 embankment. Cone penetrometer soundings 
 are required to gather the necessary in- 
 formation. This adds greatly to the cost 
 of obtaining the factor of safety. The 
 obvious question to be answered is wheth- 
 er the benefits gained from a probabilis- 
 tic analysis justify the increased cost. 
 
 CONCLUSIONS 
 
 A large sample of direct shear tests 
 was taken at two waste embankment sites. 
 Of the statistical model tested, the nor- 
 mal probability density function best fit 
 these data. This conclusion is site spe- 
 cific and should not be imprudently ex- 
 trapolated. The authors are aware that a 
 wealth of data is now available to the 
 mining industry, since penetrometers of 
 various kinds are now being used more 
 frequently. Thus, detailed investigation 
 of the variation of strength with depth 
 can now be routinely incorporated to make 
 computations more meaningful. In fact, 
 the Bureau has contracted for soil param- 
 eter collecting using cone data ( 3) . The 
 Bishop code with the propagation of error 
 
 and probability of failure calculations 
 is available from the Bureau for inter- 
 ested users. 
 
 A suggested first step towards intro- 
 ducing useful probabilistic concepts into 
 the factor of safety computation is to 
 compute a confidence interval about the 
 average factor of safety value , replacing 
 current usage of a conservative determin- 
 istic factor of safety value. It would 
 seem most advantageous not only to know 
 the factor of safety value but to have a 
 sense of the error in that value and an 
 indication of how good or reliable the 
 factor of safety might be. 
 
13 
 
 REFERENCES 
 
 1. Alonso, E. E. Risk Analysis of 
 Slopes and Its Application to Slopes in 
 Canadian Sensitive Clays. Geotechnique, 
 v. 26, No. 3, 1976, pp. 453-472. 
 
 2. Anderson, L. , D. Bowles, R. Can — 
 field, and K. Sharp. Probabilistic Mod- 
 eling of Tailings Embankment Designs. 
 Volume 1. Model Development and Verifi- 
 cation (contract J0295029) . BuMines OFR 
 16KD-82, 1982, 233 pp.; NTIS PB 83- 
 122598. 
 
 3. Baecher, Marr, & Associates. Cri- 
 tical Parameters for Tailings Embank- 
 ments . Ongoing BuMines contract 
 JO215018; for information contact D. R. 
 Tesarik, Spokane Research Center, Bureau 
 of Mines, Spokane, WA. 
 
 4. Bailey, W. A. Stability Analysis 
 by Limiting Equilibrium. CE Thesis, 
 Mass. Inst. Technol. , Cambridge, MA, 
 1966, 63 pp. 
 
 5. Bishop, J., and N. Morgenstern. 
 Stability Coefficients for Earth Slopes. 
 Geotechnique, v. 10, No. 4, 1960, pp. 
 
 129-150. 
 
 6. Deming, W. E. Statistical Analysis 
 of Data. Dover Publishing Co. , New York, 
 1964, pp. 37-48. 
 
 7. Harr, M. E. Mechanics of Particu- 
 late Media. McGraw-Hill Book Co., Inc., 
 New York, 1977, pp. 427-442. 
 
 Denver, CO, 1978, pp. 1-16; available for 
 consultation at Spokane Research Center, 
 Bureau of Mines, Spokane, WA. 
 
 10. Lambe, T. W. , W. Marr, and F. Sil- 
 va. Safety of a Constructed Facility: 
 Geotechnical Aspects. J. Geotech. Eng. 
 Div., ASCE, v. 107, No. GT3 , Mar. 1981, 
 pp. 339-352. 
 
 11. Lee, K. L. , and A. Singh. Report 
 of the Direct Shear Comparative Study. 
 Soil Mechanics Group, Los Angeles Sec- 
 tion, ASCE, Nov. 1968, pp. 1-38. 
 
 12. Lumb, P. Probability of Failure 
 in Earthworks. Proc. 2d Southeast Asian 
 Conf. Soil Eng., Singapore, Sept. 1970, 
 pp. 139-148; available from authors of 
 this report. 
 
 13. McWilliams, P., and D. Tesarik. 
 Multivariate Analysis Techniques With 
 Application in Mining. BuMines IC 8782, 
 1978, pp. 22-27. 
 
 14. Mittal, H. K. , and N. Morgenstern. 
 Seepage Control in Tailings Dams. Can. 
 Geotech. J., v. 13, 1976, pp. 277-293. 
 
 15. Sharp, K. , L. Anderson, D. Bowles, 
 and R. Canfield. A Model for Assessing 
 Slope Reliability. 60th Ann. Meeting, 
 Transportation Research Board, Washing- 
 ton, DC, Jan. 1981, 40 pp.; available 
 from authors, Chem. Eng. Dept. , Utah 
 State University, Logan, UT. 
 
 8. Hoel, P. Introduction to Statis- 
 tics. John Wiley and Sons, Inc., New 
 York, 3d ed. , 1962, pp. 139-145. 
 
 9. Jubenville, D. Limit Equilibrium 
 Slope Analysis and Computer Software. 
 
 16. Vanmarcke, E. Reliability of 
 Earth Slopes. J. Geotech. Eng. Div., 
 ASCE, v. GT11, Nov. 1977, pp. 1247-1263. 
 
14 
 
 APPENDIX. —DATA COLLECTION, SLOPE STABILITY, AND LABORATORY TESTING 
 
 DATA COLLECTION--CDA 
 
 A detailed investigation of the im- 
 poundment facility was not undertaken, 
 since the scope of this project was to 
 determine strength variability in the 
 beach material and to model an embankment 
 consisting solely of this material. 
 
 The embankment was constructed by the 
 upstream method using a starter dike of 
 borrow material. The dike is built 
 against a steep side of a valley with an 
 overall downstream slope of 2:1. The im- 
 poundment area covers approximately 7 
 acres. Tailings were deposited from 
 spigot lines extended from the crest of 
 the embankment. They contain from 15 to 
 50 pet material passing the No. 200 U.S. 
 Standard Sieve. In general, the coarser 
 material settled out close to the crest, 
 but a layering effect became evident 
 while sampling. Fluctuating pond size 
 and different spigot locations could have 
 caused this phenomenon. 
 
 for the computer model. These were se- 
 lected to evaluate a potentially unsafe 
 condition (that is, P (failure) > 0) and 
 in no way reflect the actual conditions 
 of the embankment from which the soil was 
 extracted. The location of the phreatic 
 surface, based on the 10 pet freeboard 
 headwater, was determined by the finite- 
 element method (4). 2 No tail water was 
 assumed in the model. The material in 
 the embankment was assumed to be homoge- 
 neous to the extent that no layers were 
 coded into the model. The code was exe- 
 cuted using 74 sets of strength parame- 
 ters (c, <j) , y,) in order to calculate the 
 coefficent of variation of the factor of 
 safety and compare it to the value ob- 
 tained by using the propagation of error 
 formula. The value for density that was 
 used in each run was an average of the 
 densities of the samples used to conduct 
 the direct shear test for a corresponding 
 c, <J>. 
 
 DATA COLLECTION— SW 
 
 Data were taken along the perimeter of 
 the embankment 15 ft from the crest at 
 intervals of 150 ft. At each data loca- 
 tion, four thin-wall, 3-in-diam Shelby 1 
 tube samples were taken at the corners of 
 an imaginary square measuring 2 ft on 
 each side. Before inserting the Shelby 
 tubes by hand, the tailings were in- 
 spected for disturbance and cracking. 
 If either of these conditions existed, 
 the cluster of four tubes was displaced 
 slightly to avoid the irregularity or 
 cracks. When the tubes were extracted, 
 the ends were capped and sealed, and the 
 tubes were placed in a foam-lined con- 
 tainer for transportation by truck to the 
 laboratory. Care was taken that minimum 
 sample disturbance occurred. 
 
 STABILITY ANALYSIS— CDA 
 
 A slope of 2 to 1 and a phreatic sur- 
 face having 10 pet freeboard were chosen 
 
 1 Reference to specific trade names is 
 made for identification only and does not 
 imply endorsement by the Bureau of Mines. 
 
 As with the CDA embankment, an exten- 
 sive field investigation was not under- 
 taken. A brief, general description will 
 again be presented. 
 
 The SW tailings embankment has been in- 
 active for years. It was constructed 
 from copper tailings , using the upstream 
 spigoting method. The slurry was about 
 45 pet tailings by weight; the tailings 
 grind was 40 pet passing the No. 200 
 Sieve and 75 pet passing the No. 65 
 Sieve. The embankment is bounded on one 
 side by another tailings embankment. The 
 tailings pond covers approximately 300 
 acres and averages 300 ft high. The 
 overall slope is approximately 2 to 1. 
 
 The data for the SW embankment were 
 also collected using thin-wall Shelby 
 tubes. The embankment had from 6 in to 
 several feet of overburden placed on 
 top of the tailings for dust control 
 
 ^Underlined numbers in parentheses re- 
 fer to items in the list of references 
 preceding the appendix. 
 
15 
 
 purposes. The top 3 to 5 ft of tailings 
 was compacted from equipment placing the 
 overburden; in some cases, desiccation 
 was apparent. An attempt was made to in- 
 sert the Shelby tubes using a jack, with 
 resistance provided by a truck. This 
 caused too much sample disturbance so a 
 front-end loader was employed to scrape 
 off the overburden and push the Shelby 
 tubes into the embankment. (The tubes 
 inserted by the jacks were not included 
 in the data analysis.) 
 
 SAMPLE TESTING 
 
 Standard direct shear tests were per- 
 formed on a series of samples extracted 
 from the Shelby tubes with a circular 
 trimmer ring. Owing to the time needed 
 to test all the soil samples, some corro- 
 sion took place inside the Shelby tubes. 
 These samples were sawed in half to re- 
 duce sample disturbance when the soil was 
 extracted from the tube into the trimmer 
 ring. 
 
 The tubes were extracted by hand, 
 sealed, and packed into foam-lined boxes 
 for minimal disturbance. It was neces- 
 sary to lay the tubes in a horizontal po- 
 sition for shipping. 
 
 The data station pattern is shown in 
 figure A-l. This pattern was chosen so 
 that correlations might be studied based 
 on distance from the crest and spacing 
 distance between data points. 
 
 Unlike the CDA embankment, the computer 
 model was set up to reflect the geometry 
 and phreatic surface location of the ac- 
 tual embankment. The cross section that 
 was used is shown in figure A-2. The ac- 
 tual embankment had a starter dike that 
 was not included in the analysis. This 
 exclusion could produce lower factors of 
 safety than actually exist. All 130 
 triplets (c, <f> , y,) were run through the 
 computer code to obtain the 130 values 
 of the factor of safety necessary to 
 calculate the PDF and coefficient of 
 variation. 
 
 Each sample was consolidated before 
 shearing by applying normal load to allow 
 for drainage. Initial displacement mea- 
 surements from consolidation, along with 
 direct shear test data, are given in ta- 
 bles A-l and A-2. At a minimum, normal 
 stresses of 25 psi, 50 psi, and 100 psi 
 were used. For the CDA data, an addi- 
 tional point of 75 psi was used to deter- 
 mine each <f> , c combination. Owing to the 
 layering effects of each embankment , it 
 was necessary to repeat various normal 
 loads to ensure that enough data were 
 available for a good least squares curve 
 fit for <|> and c. Average shearing rates 
 for the tests were 0.305 mm/sec for 
 the 25-psi normal load, 0.275 mm/sec for 
 50 psi and 75 psi, and 0.25 mm/sec for 
 100 psi. The slow rate was used to pre- 
 vent pore pressure buildup and ensure 
 drainage. 
 
 Cumulative grain-size distribution 
 tests were run for 14 tubes from the CDA 
 data. At least one tube was tested from 
 each data location in an attempt to 
 
 • • 
 
 • • • • • 
 
 • • • • • 
 
 —I k-25' 
 
 324' 
 
 Embankment! crest 
 
 FIGURE A-l. - SW data station pattern 
 
16 
 
 represent the range of data collected. A 
 range of distributions is shown in figure 
 A-3. 
 
 COMPUTER PROGRAM FOR PROPAGATION 
 OF ERROR 
 
 The computer program used to 
 the coefficient of variation of 
 tor of safety is a modified vers 
 program written by Bailey (4). 
 gram uses Bishop's Simplified 
 Slices to determine the minimum 
 safety for a given embankment 
 The failure surface is assumed 
 arc of a circle. 
 
 calculate 
 the fac- 
 ion of a 
 The pro- 
 Method of 
 factor of 
 geometry, 
 to be an 
 
 The program divides the slope cross 
 section into vertical slices and evalu- 
 ates moments about the circle center 
 using the force vectors at the base of 
 each slice. The horizontal side forces 
 and vertical shear forces on each slice 
 are not used in the calculations. The 
 number of slices is input by the user 
 but may be altered slightly by the 
 program so that slice boundaries coin- 
 cide with selected points on the 
 embankment . 
 
 500 
 
 The slice boundaries are determined be- 
 fore any trial circles are analyzed, so 
 the number of slices in each sliding mass 
 varies with the radius of the trial cir- 
 cle. To determine a minimum factor of 
 safety, the program evaluates 1,331 trial 
 circles. The center of each circle is a 
 point on an imaginary square grid placed 
 above the slope of the embankment. At 
 each point on the control grid, the pro- 
 gram computes a minimum radius; that is, 
 a radius that will just touch the slope 
 and a maximum radius based on the geome- 
 try of the slope profile. A series of 
 factors of safety is computed, starting 
 with a radius slightly smaller than the 
 maximum radius. Each successive radius 
 is reduced by approximately one-eleventh 
 of the difference between the minimum and 
 maximum radii. 
 
 Coefficients for evaluation of equation 
 4 are required for input in addition to 
 embankment geometry, phreatic surface in- 
 formation, and soil parameters. The pro- 
 gram outputs the coefficient of vari- 
 ation and standard deviation for the min- 
 imum factor of safety, the probability of 
 failure (assuming normal statistics), and 
 
 200 
 
 300 400 500 600 700 
 
 HORIZONTAL DISTANCE, ft 
 FIGURE A-2. - Idealized profile-SW embankment. 
 
 800 
 
 900 1,000 
 
17 
 
 100 
 90 
 80 
 
 ? 70 
 
 o 
 a 
 
 60 
 
 a» so 
 o 
 
 S 40 
 
 30 
 20 
 10 
 
 U.S. Standard Sieve sizes 
 
 30 40 50 70 80 100 140 200 325 
 
 400 
 
 
 \ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 / / / 
 
 N 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 \ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 Y 
 
 / 
 
 
 U 
 
 
 ' / 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 // 
 
 
 
 
 9, 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 // 
 
 
 
 // 
 
 t£ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 \ 
 
 
 h 
 
 J 
 
 >; 
 
 
 
 & 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ! / 
 i 
 
 i 
 
 
 // 
 
 t 
 
 '/// 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ti 
 
 
 
 ' 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 V 
 
 
 / 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 5 4 3 
 
 198765 4 
 
 .01987 6 5 4 
 
 GRAIN SIZE, mm 
 
 FIGURE A-3. - Range of grain-size curves for CDA data. 
 
 
 
 10 
 
 20 
 
 30 
 
 40 
 
 50 
 
 60 
 
 70 
 
 80 
 
 90 
 
 100 
 
 0) 
 (0 
 
 « 
 o 
 o 
 
 o 
 a 
 
 CO 
 O 
 
 .001 
 
 the contribution by term (equation 4) to 
 the standard deviation of the factor of 
 safety. 
 
 The pore pressure in the computer pro- 
 gram is calculated at the base of each 
 slice, based on static head. Similarly, 
 the contribution to the error term by 
 pore pressure is on a slice-by-slice 
 basis. Since the user inputs the coef- 
 ficients of variation, it is convenient 
 
 to calculate both the variance term 
 and the covariance terms for pore pres- 
 sure. In our calculations, it was as- 
 sumed that the correlations between pore 
 pressures and the strength parameters 
 = 0, and that the correlations between 
 pore pressures for any two slices = 1. 
 The covariance terms for the strength 
 parameters are included; that is, r c x 
 
 r c,Y, and r <J>,Y. 
 
18 
 
 
 c 
 o 
 
 ■H i-l 
 CO CO 
 
 <D O. 
 
 XI 
 
 o 
 u 
 
 VO 
 CM 
 
 CO 
 
 o 
 -3- 
 
 CO 
 
 vo 
 
 CM 
 00 
 
 m 
 
 CM 
 
 CD 
 O 
 
 —4 
 
 O 
 
 o 
 
 CM 
 
 O 
 
 -3- 
 
 O 
 
 o 
 
 CO 
 
 vO 
 -3 
 
 
 cfl O » 
 C -H OJ 
 l-i -U iH M 
 « U bOll 
 ■U f-l C T3 
 C 1J tfl 
 l-l K-l 
 
 CD 
 VD 
 
 •* 
 
 co 
 
 m 
 m 
 
 CO 
 
 cd 
 
 rs 
 
 rs 
 
 CO 
 
 oo 
 
 CO 
 
 00 
 CO 
 
 in 
 
 CO 
 
 VO 
 O 
 
 in 
 
 CO 
 
 CD 
 vO 
 
 l-~ 
 CO 
 
 CM 
 CM 
 
 m 
 
 CO 
 
 in 
 o 
 
 is 
 CO 
 
 Is 
 CD 
 
 in 
 
 CO 
 
 00 
 CM 
 
 is 
 CO 
 
 
 (0 K-l 
 3 O 
 •H >-, 
 
 d u j_> 
 
 0)0 0) 
 H 4J K-l 
 
 ■H O to 
 
 HI U li) 
 tn K-l 
 
 is 
 ps 
 
 CO 
 
 ps 
 is 
 
 CO 
 
 vO 
 CM 
 
 #— i 
 
 00 
 -3- 
 
 o 
 o 
 
 CM 
 CM 
 
 CO 
 CD 
 vO 
 
 -3- 
 ~3- 
 
 ■3- 
 00 
 
 vo 
 
 o 
 
 CD 
 
 CO 
 CM 
 CD 
 
 
 >s 
 
 4-1 
 4J T-l K-4 
 CU to CJ 
 
 3 c a 
 
 CU 
 TJ 
 
 IS CD CM in 
 
 rs —i o vo 
 
 O — i O -* 
 -I tN CN N 
 
 CO ~H vD 
 -3- CD —I 
 
 o o m 
 
 CM CM -H 
 
 rs vo is 
 
 — < CM vD 
 
 CM CO CO 
 ~H CM — 1 
 
 •-< CM O 
 CO O^ G\ 
 
 cd ^ in 
 
 O CM — i 
 
 — I O vO 00 
 00 CM cm in 
 
 CM -3- ^ CO 
 
 -3- -h cm m 
 o in oo co 
 
 CD CO -3- CO 
 
 •—1 CD CO ^\ 
 00 O ~h vO 
 
 CM CD <3 00 
 
 — 1 O — 1 -< 
 
 HPlOlO 
 CM CD co r^ 
 
 •3 n tn-j 
 O O O O 
 
 co m is 
 
 — i -3- is 
 
 CO CO o 
 —I —< CM 
 
 oo in is 
 -3- -h is 
 
 —I CM CD 
 CM CM —I 
 
 00 CM -H O 
 
 in is m oo 
 is is in co 
 
 —I —I —I CM 
 
 
 CO 
 ^ CO i-l 
 
 CO cu to 
 cu i-i a 
 
 CO 
 
 Cft N N O 
 i—l CD CO CO 
 
 O m o cm 
 
 CM CO <P 1 — 
 
 in s co 
 in cm in 
 
 O CD CO 
 cm co rs 
 
 m co CD 
 
 st rs CD 
 
 CD O Is 
 rt -3- p^ 
 
 in ^ ~h 
 vO 00 O 
 
 — 1 -4 O 
 
 CM -3 00 
 
 CM O v£> -3- 
 
 co m mo cd 
 
 CD sD CO CM 
 
 CD CM CM CO 
 
 r- o r~ co 
 
 00 r^ -3- i-i 
 
 hio in n 
 
 CD -3- CM 00 
 
 i^ m co in 
 
 CO 1^ |v vO 
 
 hco m s 
 
 O O O rv 
 CM 00 O 00 
 
 CM Pv O <f 
 
 cm ci <■ rv 
 
 is CO is 
 
 —1-3-00 
 
 00 Is <3- 
 ^h CO IS 
 
 is O Is 
 -H IS vO 
 
 00 VD CM 
 -H CO IS 
 
 CO CM VO Is 
 CD 00 -3- 00 
 
 is CD CD -3- 
 
 -h co m is 
 
 to 
 4-1 
 
 H 1 
 
 to tO « 
 •H (J C 4J 
 4-> 3 o CJ 
 •H 4-1 i-l a. 
 C CO 4J 
 H CO 
 
 in o O rs 
 — i O 00 CM 
 
 CO O CO vo 
 rs o co cd 
 
 c\ — I <■ 
 
 N n rs 
 
 H(MN 
 CD CO vO 
 
 N CON 
 rs 00 vO 
 
 CM -H CD 
 
 IDO) CO 
 
 CO CD CD 
 O CM CM 
 
 CM -H \D 
 vO 00 VD 
 
 O CO 00 00 
 CO •* CD CM 
 
 O mO r^ o 
 CD r*. T^ CD 
 
 cd oo o in 
 O ~h o m 
 
 CD r^ in -3- 
 co co n oo 
 
 o m vo o 
 vo r^ cm >3- 
 
 m -* o o 
 
 N \0 N CO 
 
 P*- CO CO CD 
 m CM VO CO 
 
 ^\ &\ ~H vO 
 
 •* in in -3 
 
 CD 00 O 
 
 iH O O 
 
 o in o 
 CD 00 o 
 
 — i CD O 
 m cm o 
 
 CO CM O 
 00 CD O 
 
 O vD in CM 
 CM CM 00 vO 
 
 CM CD CM CO 
 CD Is 00 CD 
 
 Ss 
 U 
 
 o 
 
 4-1 
 
 CO 
 
 IJ 
 
 
 .O 
 « 
 
 < 
 
 a 
 o 
 
 i 
 
 1 
 
 ■H >v 
 HT3 4J 
 O CU >si-4. K-4 
 CO 4-1 kl CO U 
 
 c to t3 c a 
 
 O TJ HI 
 O TJ 
 
 h vo vO i£ 
 <T CO VO CD 
 
 vo *-i st cd 
 cd o o o 
 
 vD vO O 
 
 CO — I — I 
 
 co st <r 
 o o o 
 
 00 CD ^O 
 v£) CD CO 
 
 CD O O 
 
 00 CM CM 
 
 -H O — 1 
 
 \Oh. \D 
 
 CD O O 
 
 ■ — i i— * 
 
 in .-4 r~. -3- 
 vO r^ r^. cd 
 
 00 00 vO 00 
 00 CD CD CD 
 
 CO CM CO 00 
 -3- m CO CM 
 
 co r^ co cm 
 
 CD CD O O 
 
 oo in in o 
 -3- o ~* o 
 
 vo cd i— i r*» 
 
 CD CD O O 
 
 CM 00 P^ CD 
 
 n pv in m 
 
 CO -3- ~h CD 
 CD CD CD CD 
 
 O -h O 
 Is ^ 00 
 
 vo ~3- in 
 
 CD CD O 
 
 i— i 
 
 invo h 
 cd in is 
 
 O -3- sf 
 O O O 
 
 ps co cd in 
 
 Ps CO CO O 
 
 vO CO 00 vO 
 CD O CD O 
 
 cu 
 
 M 4J 
 
 3 C l-i - 
 
 4-1 CU CU 4J V 
 CO 4J 4-1 CO O 
 •H C K-l CU &, 
 O O CO 4-> 
 
 2 CJ 
 
 o o o o 
 
 co en h -h 
 
 cm cd in co 
 
 CM CM CM CM 
 
 o o o 
 
 Oi O CM 
 
 CM CO O 
 CM CM CM 
 
 O O O 
 
 \D \0 CM 
 
 CD -3- -3- 
 
 HN CM 
 
 o o o 
 
 CD — i ~h 
 
 00 CM CD 
 
 — 1 CM —t 
 
 O O O O 
 — i O 00 vO 
 
 vO •* CO o 
 
 CO CM CM CO 
 
 O O O O 
 vO CD -4 O 
 
 00 00 <f CO 
 CM CM CM CM 
 
 O O O O 
 
 OCAHH 
 
 OONH 
 CM CM CM CM 
 
 O O O O 
 
 in in o vo 
 is o cd in 
 
 -4CM -4H 
 
 o o o 
 
 vO -3- 00 
 
 o cm in 
 
 CO CO CM 
 
 O O O 
 O CD CM 
 
 in in vo 
 
 CM CM CM 
 
 o o o o 
 o m o cm 
 
 CD co m ps 
 
 CM CM CM CM 
 
 w 
 
 iJ 
 
 H 
 
 >s 
 
 4-1 
 >-, 1-1 K-l 
 U CO O 
 
 O C O. 
 CU 
 
 TJ 
 
 vO CM m CM 
 — i Is CD CO 
 
 o co m co 
 
 CD CD CD CD 
 
 OiOh 
 
 cd co oo 
 
 ps co m 
 cd cd cd 
 
 cd co m 
 r^ cd in 
 
 co oo m 
 
 CD CD CD 
 
 <t in -^ 
 CD 00 CO 
 
 CD CD CD 
 
 CD O 00 r-» 
 CO —I CO CD 
 
 CM CM vO O 
 CO CD 00 00 
 
 r-. vo cm vo 
 m o m -^ 
 
 CM 00 CM CM 
 CD 00 CD CD 
 
 enen is -4 
 m cm -3- o 
 
 CD O CO CO 
 00 CD CD CD 
 
 cd n oo rs 
 vo m oo m 
 
 00 CD vO o 
 00 00 00 CD 
 
 m CD o 
 -3" vO O 
 
 o m vo 
 
 CD 00 CD 
 
 00 CM O 
 
 HOC* 
 
 Is is -3- 
 CD CD CD 
 
 st cm -4 en 
 
 ■-4 CO -3- CO 
 
 h in nn 
 
 CD CD CD CD 
 
 
 TJ HI 
 CU l-i 
 •H 3 t-l 
 i-l CO CO 
 
 ana 
 a cu 
 <: u 
 a 
 
 m o o o 
 cm in in o 
 
 m o o 
 cm m o 
 
 m o o 
 cm in o 
 
 m o o 
 cm m o 
 
 m o m o 
 cm in r-~ o 
 
 in o in o 
 cm in r-* o 
 
 in o m o 
 cm in r^ o 
 
 m o o o 
 cm m in o 
 
 moo 
 cm in o 
 
 in o o 
 cm in o 
 
 in o in o 
 cm in rs o 
 
 
 y 
 
 •H >, 
 K-l 4-1 
 •H 1-4. 
 CJ > 
 CU CO 
 
 a i-i 
 en bo 
 
 -o CO CO CO 
 
 » co co co 
 
 N CM N CM 
 
 CO CO CO 
 00 00 oo 
 
 CM CM CM 
 
 CO CO CO 
 
 oo co oo 
 
 CM CM CM 
 
 CO CO CO 
 
 co oo oo 
 
 CM CM CM 
 
 CO CO CO CO 
 
 oo oo oo oo 
 
 CM CM CM CM 
 
 CO CO CO CO 
 
 oo oo oo oo 
 
 CM CM CM CM 
 
 CO CO CO CO 
 CO 00 00 00 
 
 CM CM CM CM 
 
 in in m in 
 oo oo oo oo 
 
 CM CM CM CM 
 
 in in in 
 oo oo oo 
 
 CM CM CM 
 
 in in in 
 oo oo oo 
 
 CM CM CM 
 
 in in in in 
 oo oo oo oo 
 
 CM CM CM CM 
 
 ■i 
 
 cu - 
 
 H M 4J 
 
 tO 3 C 
 
 H 4J CU 4J < 
 -> CO 4J O 
 
 H 1-1 C CU 
 
 s o o t 
 
 -1 CJ 
 
 -3 O O O 
 » 00 -3- 00 
 
 3- — i vD vO 
 M CO CM CM 
 
 o o o 
 
 CD CO CM 
 
 m co o 
 
 CM CM CM 
 
 o o o 
 vo in cd 
 
 cd m vo 
 
 —I CM CM 
 
 o o o 
 
 CM -4 — i 
 
 O CM CD 
 
 (M CM -4 
 
 o o o o 
 —i oo oo cd 
 
 *C -3 00 CM 
 CO CM CM CO 
 
 o o o o 
 
 vO O -4 -3 
 
 00 — i -3 1 r~ 
 CM CO CM CM 
 
 O O O O 
 O CD -h 00 
 
 vO O CM CM 
 CM CM CM CM 
 
 o o o o 
 m in o is 
 
 is o cd m 
 
 — 1 CM -H -* 
 
 o o o 
 
 vO-3 CM 
 
 O CM — i 
 CO CO CO 
 
 o o o 
 
 00 O is 
 
 in is o 
 
 CM CM CO 
 
 o o o o 
 
 00 — 1 CD CM 
 
 O st \0 is 
 CO CM CM CM 
 
 
 to o e 
 
 •H TJ i-l l 
 4J i-l 4-1 C 
 
 i-l O CO 
 
 C > P C 
 I-l 
 
 MOHCO 
 n oo -3- oo 
 
 MXIOON 
 
 
 
 co is <f 
 O CD <f 
 
 oo is oo 
 
 -3- vO CD 
 -3- 00 >3 
 oo r^ oo 
 
 CM CD m 
 CM \D ~h 
 CD r^ oo 
 
 -i co m h 
 
 CO —I sf CO 
 — 1 CD O O 
 
 CD CD r^ 
 O -h O -I 
 CD O CD CD 
 
 CO CO O CO 
 
 Mnoio 
 
 CD CD 00 00 
 
 VO vD COst 
 
 o ao <r vo 
 
 O CD O CD 
 
 t— 1 .—1 
 
 Is vO CO 
 
 vo is in 
 CD O 00 
 
 — i •* in 
 
 CO CO is 
 O0 00 00 
 
 CM ps in 00 
 in VD CM CM 
 CD 00 CD 00 
 
 c 
 
 4 
 1 
 
 1 
 
 H i-l - c 
 .-1 C v 
 ■1 O O c 
 J CO iH C 
 H C 4J -H C 
 
 : o co 
 
 4 CJ Tj 
 
 o -3- cm cd 
 
 D r^ co ai 
 3 O O O 
 
 3 111 
 
 CM 1 — CD 
 
 inuis 
 o o o 
 
 1 1 1 
 
 o oo in 
 -3- m r^ 
 o o o 
 
 1 1 1 
 
 -3- vO — i 
 
 -J \0 co 
 
 O O O 
 1 1 l 
 
 m p~ r~ — i 
 
 vD \0 O CM 
 O O -H — 1 
 
 1 1 1 1 
 
 o r-~ in cd 
 
 vO CD O CD 
 O O — i o 
 
 1 1 1 1 
 
 CM CD vO >3* 
 NCOMIO 
 O O O O 
 
 1 1 1 1 
 
 is m o oo 
 
 <• m m co 
 o o o o 
 
 1 1 1 1 
 
 <• CD CO 
 vO 00 CD 
 O O O 
 
 1 1 1 
 
 is —I CM 
 
 CO is CD 
 
 o o o 
 1 1 1 
 
 00 vO O — i 
 
 in rs vo oo 
 o o o O 
 
 i i i i 
 
 
 cu 
 
 ■-I 
 
 en 
 
 i cm co <r 
 
 m \o n 
 
 00 CD O 
 
 —1 CM CO 
 
 -^ m von 
 
 -H _H ^H ~4 
 
 00 CD O —I 
 —i •—! CM CM 
 
 CM CO <t m 
 
 CM CM CM CM 
 
 vO Is co CD 
 CM CM CM CM 
 
 O — l CM 
 
 CO CO CO 
 
 co -3- in 
 
 CO CO CO 
 
 vo rs oo cd 
 
 CO CO CO CO 
 
19 
 
 en 
 
 00 
 
 o 
 
 o 
 
 in 
 on 
 
 o 
 m 
 
 on 
 o 
 
 m 
 
 -3- 
 
 O 
 
 en 
 
 
 go 
 
 O 
 
 O 
 
 
 ON 
 
 on 
 
 c- 
 
 nO 
 
 in 
 
 O 
 
 p^ 
 
 
 O 
 
 
 r~ 
 
 X' 
 
 
 O 
 
 r-» 
 
 
 p^ 
 
 on 
 
 m 
 
 r— 
 
 <r 
 
 CM 
 
 -a 
 
 ON 
 
 cn 
 
 m 
 
 en 
 
 
 
 en 
 
 en 
 
 0O 
 
 
 en 
 
 en 
 
 00 
 
 P- 
 
 vC 
 
 
 
 00 
 
 — 
 
 p^ 
 
 -a 
 
 X 
 
 en 
 
 O 
 
 O 
 
 nO 
 
 <r 
 
 m 
 
 — ' 
 
 — ■ 
 
 •-* 
 
 O 
 
 CO 
 
 ^o 
 
 on 
 
 <T 
 
 o> 
 
 *"* 
 
 vO 
 
 00 
 
 en 
 
 <r 
 
 en 
 
 On 
 
 00 
 
 m 
 
 r-» 
 
 in 
 
 en 
 
 O 
 
 p^ 
 
 — ' 
 
 on 
 
 en 
 
 NO 
 
 -a 
 
 
 
 1-1 
 
 r-* 
 
 -- 
 
 _ 
 
 _ 
 
 p^ 
 
 O 
 
 cn 
 
 -a 
 
 r^ 
 
 0> 
 
 ON 
 
 UI 
 
 p^ 
 
 ao 
 
 On 
 
 oo 
 
 91 
 
 <T 
 
 O 
 
 en 
 
 ■a- 
 
 
 
 CM 
 
 <r 
 
 ON 
 
 en 
 
 p^ 
 
 r^ 
 
 X 
 
 <r 
 
 ^0 
 
 CM 
 
 r-. 
 
 r*. 
 
 <r 
 
 r^ 
 
 _ 
 
 cjn 
 
 ^N 
 
 •a- 
 
 00 
 
 ON 
 
 in 
 
 CM 
 
 ^o 
 
 m 
 
 0> 
 
 On 
 
 <y> 
 
 on 
 
 O 
 
 = 
 
 O 
 
 = 
 
 Z 
 
 CM 
 
 - 
 
 
 
 
 Cf> 
 
 CM 
 
 O 
 
 
 
 O 
 
 
 
 
 
 
 
 O 
 
 O 
 
 ON 
 
 
 
 ON 
 
 O 
 
 
 
 ON 
 
 
 
 O 
 
 1 ' 
 
 
 CM 
 
 CM 
 
 1 ! 
 
 CM 
 
 
 
 1 ' 
 
 CM 
 
 O 
 
 X 
 
 c 
 
 oo 
 
 cm 
 
 <J- 
 
 
 O 
 
 vO 
 
 On 
 
 nO 
 
 N 
 
 X 
 
 -a 
 
 p*- 
 
 en 
 
 
 p^ 
 
 O 
 
 CM 
 
 
 O 
 
 On 
 
 O 
 
 
 -3- 
 
 en 
 
 <r 
 
 1O 
 
 en 
 
 P~ 
 
 00 
 
 ^f 
 
 ON 
 
 CNl 
 
 p^ 
 
 O 
 
 •a- 
 
 r? 
 
 r*. 
 
 r"» 
 
 CM 
 
 00 
 
 NO 
 
 en 
 
 -a 
 
 r*. 
 
 r~ 
 
 — 
 
 in 
 
 co 
 
 ■» 
 
 co 
 
 — ■ 
 
 CM 
 
 en 
 
 nO 
 
 vO 
 
 cn 
 
 r~- 
 
 -j 
 
 X 
 
 ON 
 
 — ' 
 
 — 
 
 •» 
 
 Ol 
 
 en 
 
 P» 
 
 — * 
 
 — ' 
 
 r~ 
 
 <f 
 
 vO 
 
 in 
 
 00 
 
 -a 
 
 r^ 
 
 CM 
 
 ON 
 
 00 
 
 -a 
 
 — ■ 
 
 eM 
 
 in 
 
 00 
 
 ON 
 
 l-~ 
 
 ON 
 
 CO 
 
 _ 
 
 cn 
 
 X 
 
 On 
 
 -a 
 
 0* 
 
 -a 
 
 nO 
 
 cn 
 
 on 
 
 O 
 
 .~ 
 
 cn 
 
 
 
 -a 
 
 cn 
 
 X 
 
 in 
 
 _ 
 
 en 
 
 «a) 
 
 >a 
 
 CM 
 
 CM 
 
 _ 
 
 <r 
 
 ON 
 
 CN 
 
 
 
 CM 
 
 en 
 
 en 
 
 CM 
 
 CM 
 
 On 
 
 en 
 
 _< 
 
 
 
 St 
 
 en 
 
 en 
 
 ,_, 
 
 m 
 
 O 
 
 tM 
 
 cm 
 
 -a 
 
 in 
 
 '" 
 
 CM 
 
 ~* 
 
 en 
 
 m 
 
 in 
 
 nO 
 
 CM 
 
 m 
 
 m 
 
 p^ 
 
 CM 
 
 -a 
 
 vO 
 
 r-~ 
 
 CM 
 
 »a 
 
 nO 
 
 r^ 
 
 CM 
 
 -a 
 
 vO 
 
 r^ 
 
 CM 
 
 CM 
 
 <r 
 
 NO 
 
 co 
 
 CM 
 
 <r 
 
 NO 
 
 m 
 
 00 
 
 CM 
 
 <r 
 
 m 
 
 NO 
 
 00 
 
 CM 
 
 ■* 
 
 NO 
 
 00 
 
 On 
 
 X 
 
 p-» 
 
 p*. 
 
 in 
 
 en 
 
 x 
 
 r*. 
 
 X 
 
 CM 
 
 p^ 
 
 N 
 
 cn 
 
 oo 
 
 CM 
 
 
 
 O 
 
 oo 
 
 ON 
 
 cn 
 
 in 
 
 . 
 
 in 
 
 on 
 
 ^ 
 
 p^ 
 
 CM 
 
 NO 
 
 00 
 
 O 
 
 <r 
 
 CM 
 
 on 
 
 •ON 
 
 ON 
 
 
 
 00 
 
 ON 
 
 in 
 
 ON 
 
 
 
 ON 
 
 en 
 
 O 
 
 O 
 
 -. 
 
 m 
 
 — 
 
 oc 
 
 -a 
 
 -a 
 
 nO 
 
 r-* 
 
 r-* 
 
 nO 
 
 co 
 
 H 
 
 ON 
 
 in 
 
 in 
 
 X 
 
 CM 
 
 en 
 
 vO 
 
 m 
 
 cn 
 
 O 
 
 — ' 
 
 ON 
 
 ON 
 
 CM 
 
 00 
 
 r^ 
 
 m 
 
 O 
 
 <r 
 
 -a 
 
 NO 
 
 >* 
 
 00 
 
 
 
 in 
 
 en 
 
 —• 
 
 P^ 
 
 
 
 en 
 
 
 
 O 
 
 O 
 
 _ 
 
 vO 
 
 r* 
 
 On 
 
 _ 
 
 -» 
 
 en 
 
 nO 
 
 co 
 
 
 
 00 
 
 X 
 
 r*- 
 
 _ 
 
 <r 
 
 er» 
 
 O 
 
 -a 
 
 on 
 
 on 
 
 CM 
 
 vO 
 
 m 
 
 <r 
 
 O 
 
 VO 
 
 ON 
 
 CN 
 
 co 
 
 ^D 
 
 en 
 
 
 
 >» 
 
 <r 
 
 
 
 -a- 
 
 m 
 
 r-. 
 
 CM 
 
 m 
 
 
 
 ON 
 
 vO 
 
 O 
 
 O 
 
 in 
 
 en 
 
 cn 
 
 CN 
 
 -a 
 
 00 
 
 h« 
 
 r^ 
 
 p^ 
 
 on 
 
 r-* 
 
 X 
 
 ON 
 
 00 
 
 -a 
 
 en 
 
 in 
 
 vO 
 
 r-~ 
 
 m 
 
 m 
 
 r~ 
 
 CO 
 
 r*. 
 
 r-» 
 
 m 
 
 <f 
 
 <r 
 
 m 
 
 d 
 
 <r 
 
 m 
 
 CO 
 
 >3- 
 
 ^n 
 
 m 
 
 00 
 
 ON 
 
 ON 
 
 
 
 
 
 NO 
 
 r** 
 
 O 
 
 O 
 
 N 
 
 ~ 
 
 ^4 
 
 P- 
 
 m 
 
 -~ 
 
 X 
 
 •a- 
 
 — 1 
 
 — . 
 
 NO On 
 
 ON 
 
 in 
 
 m 
 
 CM 
 
 <r 
 
 in 
 
 00 
 
 en 
 
 X 
 
 ON 
 
 NO 
 
 ~H 
 
 ON 
 
 NO 
 
 CM 
 
 X 
 
 i/N 
 
 r** 
 
 en 
 
 CM 
 
 CO 
 
 en 
 
 -a 
 
 en 
 
 m 
 
 ON 
 
 m 
 
 O 
 
 CM 
 
 p- 
 
 m 
 
 ON 
 
 r-* 
 
 in 
 
 
 
 N 
 
 — 
 
 ao 
 
 P»- 
 
 •a- 
 
 m 
 
 a 
 
 en 
 
 -a en 
 
 -r 
 
 en 
 
 en 
 
 CTN 
 
 CM 
 
 NO 
 
 — ' 
 
 ^c 
 
 r-» 
 
 ■a- 
 
 en 
 
 <r 
 
 ON 
 
 CM 
 
 00 
 
 r*s 
 
 ON 
 
 m 
 
 -a 
 
 00 
 
 ON 
 
 en 
 
 NO 
 
 00 
 
 On 
 
 CM 
 
 m 
 
 ON 
 
 NO 
 
 
 
 r^ 
 
 — 1 
 
 cn 
 
 en 
 
 «t 
 
 CM 
 
 oo 
 
 en 
 
 X 
 
 IS 
 
 NO 
 
 in 
 
 -a 
 
 on -a- 
 
 en 
 
 NO 
 
 00 
 
 CM 
 
 in 
 
 CM 
 
 NO 
 
 
 
 ON 
 
 -a- 
 
 NO 
 
 vj- 
 
 O 
 
 NO 
 
 m 
 
 ON 
 
 CM 
 
 cn 
 
 NO 
 
 p^ 
 
 CNJ 
 
 O 
 
 00 
 
 CM 
 
 On 
 
 r*» 
 
 NO 
 
 CO 
 
 NO 
 
 CM 
 
 p~ 
 
 NO 
 
 O 
 
 On 
 
 ON 
 
 On 
 
 at 
 
 ON 
 
 ON 
 
 ON 
 
 
 
 a 
 
 O 
 
 on 
 
 ■_■ 
 
 
 
 oo 
 
 ON 
 
 On 
 
 
 
 ON 
 
 O 
 
 X 
 
 ON 
 
 ON 
 
 
 
 O 
 
 ON 
 
 ON 
 
 X 
 
 O^ 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 O 
 
 On 
 
 
 
 O 
 
 O 
 
 - 
 
 O 
 
 ON 
 
 O 
 
 ^ 
 
 0000 000000 0000 0000 0000 0000 00000 00000 00000 0000 
 
 r-* so ct* \0 < 00 00 00 -< O ciN -h iri in \c \D in n «j n^ in on in n o^-Nt n 00 ^HOr^<r^H 00 o vo ^ m o^(^cooo 
 
 \ommo (s »- 00 o> n 00 <r o ir*> <r r^<rr^^^ m m o *o <r o om» m vo c^ tN <t \D in <r mO >x> inN^o-Na-r-^CT^ co^o-<tcM 
 
 — — — — — ■ CM CM — ' M IN M tN N N ^h^h^hCM CnJ^hcMCnJ CMCN^H^h ^^^h^^h ^^^^^^^_<^^ CSjCsjr>J^^^H H (M IN fv) 
 
 e^CTvr^in r-« ^ >o f^ n o OOOr^. o^ <*** cn \o o- n r% m on p*> «-i oo vO 00 vo m o> m »— 1 co cn co in o »o -^ vC 00 00 r*. c^ 
 
 ri n - * <r o<r--cnos£) in in s 00 ^rinm-NNj \o 00 00 o> in in co 00 vu in in in -j vo ro h n nO ^ -h n 00 ■vf o n -vt n 
 
 <n\CsCX c» f^ -j 00 ^ -nnT csir>.^in mvocoo ocsicnco n 00 m o oj<tr^\ocjs n n --< cm in inooooo n 00 ro o 
 
 33 X X X X CJ 1 X O^CMT ^ 0> O 0> OOCOCOOv On ON 00 CO (T> & & <T* ON CO CO CO CO ONQOONCTsON OnOOOO ONCOOnO 
 
 in o »n o 
 cm m r*. o 
 
 in in o in in o 
 
 cm (M in n n o 
 
 in o in in o 
 cm m r-* r-*. o 
 
 m 
 
 in 
 
 ." 
 
 m 
 
 in in 
 
 in 
 
 in in 
 
 m 
 
 m 
 
 in 
 
 in in 
 
 CM 
 
 ~J 
 
 CM 
 
 CM 
 
 CM 
 
 ') 
 
 CN 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 r\l 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 Cl 
 
 CM 
 
 CM 
 
 CM 
 
 en 
 
 en 
 
 m 
 
 m 
 
 X 
 
 ■ 
 
 X 
 
 00 
 
 ec oc 
 
 X 
 
 oc 00 
 
 ao 
 
 00 
 
 X 
 
 00 ao 
 
 00 
 
 X 
 
 oo 
 
 00 
 
 00 
 
 X 
 
 X 
 
 00 
 
 00 00 
 
 00 
 
 00 
 
 00 
 
 co 
 
 00 
 
 X 
 
 00 
 
 00 
 
 X 
 
 X 
 
 X 
 
 OO 
 
 00 
 
 X 
 
 X 
 
 CO 
 
 00 
 
 00 
 
 CO 
 
 CO 
 
 CO 
 
 
 -. 
 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 C-J 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM 
 
 CI 
 
 rJ 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CNJ 
 
 a 
 
 a 
 
 z 
 
 O 
 on 
 
 
 
 NO 
 
 
 
 m 
 
 O 
 
 X 
 
 a 
 
 CO 
 
 O 
 
 X 
 
 c 
 
 
 
 
 O O 
 
 in m 
 
 O 
 
 ' 1 
 
 O 
 in 
 
 O 
 in 
 
 □ 
 
 NO 
 
 O 
 NO 
 
 O 
 NO 
 
 O 
 nO 
 
 c 
 
 
 O O 
 
 ■j- -a 
 
 
 
 -a 
 
 O 
 O- 
 
 O 
 
 cn 
 
 O 
 
 O 
 On 
 
 
 --r 
 
 
 CN 
 
 
 
 CM 
 
 O 
 on 
 
 
 
 
 in 
 
 
 
 
 -a 
 
 O 
 
 O O 
 
 00 CM 
 
 O 
 
 O 
 -7 
 
 O 
 m 
 
 
 
 —1 ON 
 
 O 
 
 00 
 
 O 
 CM 
 
 0> 
 
 en 
 
 en 
 
 
 
 -a 
 
 NO 
 
 DC 
 
 C i 
 
 — 
 
 00 
 
 CM 
 
 in m 
 
 CM CM 
 
 O 
 
 -a 
 
 CM 
 
 p^ 
 
 -T 
 
 P^ 
 
 CM 
 
 nD 
 CM 
 
 On 
 
 no 
 
 CM CM 
 
 p~ 
 
 CM 
 
 O 
 CN 
 
 n 
 
 00 
 
 m 
 
 O 
 
 o< 
 
 en 
 
 -a 
 
 NO 
 
 CM 
 
 -a 
 
 :D 
 
 NO 
 
 in no 
 
 CM CM 
 
 -a 
 
 CM 
 
 r^ 
 
 CM 
 CM 
 
 O NO 
 
 CM CM 
 
 -a 
 
 m 
 
 O 
 
 cn 
 
 -a c c — 
 x -o .0 — 
 
 o c o o 
 
 00 in *a on sO — 1 
 
 O- O — O rn 00 
 CT* s **i OC 00 00 
 
 — « in o*n nnO 
 cm n n in 
 o> 00 00 00 
 
 ON <J" On vO 
 
 onx-w* 
 
 — O ON ON 
 
 •^ nO ON ON 
 <J ON ONN 
 ON CO O ON 
 
 r-NN, \o r^ r^ 
 O 00 <t co 
 on r*-. 00 on 
 
 o 00 ^ n vO 
 
 ON o O O ON 
 
 O ^-O CM ON — « 
 ON O ON ON CO 
 
 O on nO no n 
 in in in <r cm 
 00 n in. rs vO 
 
 OHOfO 
 CM o on in 
 00 O 00 r^ 
 
 00 00 -O On 
 
 0000 
 
 - •? O NNrt 
 
 in in c* n n on 
 c o o o o o 
 
 ON 
 
 <o 
 
 r 
 
 
 
 -a 
 
 DO 
 
 On 
 
 ON 
 
 r~ 
 
 PN* 
 
 -a 
 
 00 
 
 — 1 
 
 m 
 
 NO 
 
 nO 
 
 en 
 
 X, 
 
 90 
 
 m cm 
 
 NO 
 
 c 
 
 oc 
 
 On 
 
 m 
 
 CI 
 
 C 
 
 — | 
 
 m 
 
 r** 
 
 NO 
 
 in 
 
 -a 
 
 m 
 
 1/1 
 
 m 
 
 cn 
 
 m 
 
 in 
 
 r-» r~ 
 
 c 
 
 
 
 
 
 O 
 
 O 
 
 a 
 
 O 
 
 — 1 
 
 O 
 
 
 
 O 
 
 
 
 
 
 
 
 O 
 
 O 
 
 
 
 
 
 
 
 O O 
 
 en —1 -a in o 
 m no in no p*» 
 OOOOO 
 
 00 r» on -a o 
 ^a no in p~ r~ 
 00000 
 
 00 -a 00 m 
 
 <f On — < 00 
 O O -< O 
 
 -a* in x p^ 00 on 
 ~a -a -a -a ~a -a 
 
 00 On O — 
 
 in in no no 
 
 cm m -a m 
 
 NO vO ^o NO 
 
 NO p~ 00 ON o 
 p^. p^. p-. r-- 00 
 
20 
 
 a 
 
 o 
 u 
 
 i 
 i 
 
 a 
 
 o 
 
 JO 
 
 cd 
 
 
 c 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 co 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 
 
 
 •H 
 
 •H 
 
 
 
 ~H 
 
 
 
 o 
 
 
 
 CO 
 
 
 
 
 
 
 
 
 
 On 
 
 
 
 
 
 
 
 
 1-^ 
 
 
 NO 
 
 
 CO 
 
 CO 
 
 
 
 •* 
 
 
 
 l-~ 
 
 
 
 00 
 
 
 
 
 O 
 
 
 
 
 
 r~ 
 
 
 
 
 o 
 
 
 
 m 
 
 
 CM 
 
 
 a) 
 
 Q. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 j= 
 
 
 
 
 in 
 
 
 
 NO 
 
 
 
 
 
 
 
 
 o 
 
 
 
 
 
 o 
 
 
 
 
 o 
 
 
 
 
 
 in 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 -H 
 
 
 
 
 
 
 
 
 
 
 
 r-l 
 
 c 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 cd 
 
 o 
 
 « 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a 
 
 •H 
 
 01 
 
 bo 
 
 
 00 
 
 
 
 oo 
 
 
 
 NO 
 
 
 
 
 i-H 
 
 
 
 
 
 ON 
 
 
 
 
 o 
 
 
 
 00 
 
 
 CM 
 
 u 
 
 4J 
 
 i-l 
 
 0) 
 
 
 ON 
 
 
 
 r~ 
 
 
 
 o 
 
 
 
 
 ON 
 
 
 
 
 
 <r 
 
 
 
 
 m 
 
 
 
 NO 
 
 
 CM 
 
 0> 
 
 
 
 B0T3 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 « 
 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 • 
 
 
 • 
 
 4-1 
 
 1-1 
 
 c 
 
 
 
 in 
 
 
 
 <r 
 
 
 
 00 
 
 
 
 
 i-H 
 
 
 
 
 
 CM 
 
 
 
 
 ON 
 
 
 
 CO 
 
 
 m 
 
 c 
 
 p 
 
 CO 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 
 -tf 
 
 
 
 
 
 CO 
 
 
 
 
 CO 
 
 
 
 CO 
 
 
 CO 
 
 M 
 
 y-j 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 co 
 
 14-1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 
 S-n 
 
 
 o 
 
 
 
 *-H 
 
 
 
 NO 
 
 
 
 
 •-H 
 
 
 
 
 
 in 
 
 
 
 
 o 
 
 
 
 NO 
 
 
 CM 
 
 
 C 
 
 1-1 
 
 4-1 
 
 
 CSI 
 
 
 
 CM 
 
 
 
 CM 
 
 
 
 
 CM 
 
 
 
 
 
 o 
 
 
 
 
 m 
 
 
 
 r~ 
 
 
 00 
 
 
 v 
 
 O 
 
 01 
 
 
 nO 
 
 
 
 00 
 
 
 
 i-i 
 
 
 
 
 ■* 
 
 
 
 
 
 —* 
 
 
 
 
 m 
 
 
 
 ON 
 
 
 m 
 
 
 rH 
 
 4-1 
 
 D-i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 .-1 
 
 CJ 
 
 cd 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CM 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 cfl 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 tl- 
 
 in 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 /— — ^__ — , 
 
 
 
 >> 
 
 
 NO 
 
 r-~ 
 
 00 
 
 CN 
 
 ^_, 
 
 in 
 
 ON 
 
 CM 
 
 NO 
 
 r-~ 
 
 CO 
 
 r-~ 
 
 CM 
 
 CO 
 
 r^ 
 
 NO 
 
 ON 
 
 CM 
 
 CO 
 
 <r 
 
 CO 
 
 r~ 
 
 oo -a 
 
 ON 
 
 -a- 
 
 00 
 
 -a- 
 
 CO CO NO CO 
 
 NO 
 
 cm cm in on on 
 
 
 
 4-1 
 
 
 o 
 
 CNJ 
 
 oo 
 
 00 
 
 I — 1 
 
 t» 
 
 NO 
 
 NO 
 
 r— 1 
 
 O 
 
 CO 
 
 o 
 
 NO 
 
 CM 
 
 NO 
 
 i — 1 
 
 oo 
 
 -* 
 
 00 
 
 O 
 
 CO 
 
 O 
 
 o sr 
 
 ■ — \ 
 
 oo -<r 
 
 i — i 
 
 r^ — i o m 
 
 o 
 
 no cm in r^ ~h 
 
 
 4-> 
 
 •H 
 
 in 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 cu 
 
 CO 
 
 o 
 
 nO 
 
 co 
 
 CN 
 
 CM 
 
 r^ 
 
 i — i 
 
 co 
 
 NO 
 
 CO 
 
 r>» 
 
 00 
 
 co 
 
 ON 
 
 00 
 
 ■ — i 
 
 <r 
 
 CO 
 
 CO 
 
 1 — 1 
 
 ON 
 
 r— 1 
 
 00 
 
 co -a- 
 
 co 
 
 r~ 
 
 m 
 
 NO 
 
 cm on m o 
 
 m 
 
 on no -a- —4 CM 
 
 
 3 
 
 tu 
 
 T3 
 
 a. 
 
 
 CN 
 
 CM 
 
 CM 
 
 
 CM 
 
 
 o 
 
 
 
 
 CM 
 
 
 
 CM 
 
 
 
 CM 
 
 CM 
 
 
 CM 
 
 
 
 
 
 
 
 -* O -" — I 
 
 
 rt HrtCNl H 
 
 
 
 CO 
 
 
 00 
 
 n 
 
 nO 
 
 in 
 
 <3 
 
 m 
 
 00 
 
 CM 
 
 CM 
 
 CM 
 
 co 
 
 1— 1 
 
 00 
 
 o 
 
 O 
 
 ON 
 
 r~ 
 
 O 
 
 o 
 
 ON 
 
 NO 
 
 o 
 
 NO o 
 
 00 
 
 nO 
 
 CTN 
 
 CO 
 
 N -4 CI H 
 
 m 
 
 -3- CO 00 nO -3- 
 
 
 ^ 
 
 CO 
 
 i-i 
 
 o 
 
 o 
 
 00 
 
 CO 
 
 -3/ 
 
 CO 
 
 oo 
 
 NO 
 
 NO 
 
 NO 
 
 CO 
 
 r^ 
 
 00 
 
 m 
 
 i-H 
 
 nO 
 
 <r 
 
 NO 
 
 -H 
 
 00 
 
 CO 
 
 m 
 
 CO -H 
 
 CM 
 
 r^ 
 
 CO 
 
 CM 
 
 cm oo on m 
 
 CM 
 
 -3- oo —i co in 
 
 
 CO 
 
 0) 
 
 to 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0> 
 
 I-l 
 
 a 
 
 nO 
 
 o 
 
 O 
 
 CO 
 
 CM 
 
 in 
 
 00 
 
 r~ 
 
 ON 
 
 ON 
 
 CO 
 
 ON 
 
 O 
 
 NO 
 
 ON 
 
 NO 
 
 NO 
 
 NO 
 
 ON 
 
 NO 
 
 00 
 
 -a- 
 
 O ON 
 
 NO 
 
 in 
 
 <r 
 
 O 
 
 oo —i -a- on 
 
 oo 
 
 cm -3- -h oo m 
 
 
 P-. 
 
 4-1 
 CO 
 
 
 CN 
 
 in 
 
 r~. 
 
 00 
 
 CM 
 
 <r 
 
 m 
 
 r~- 
 
 CO 
 
 CO 
 
 in 
 
 r-~ 
 
 CM 
 
 CO 
 
 CO 
 
 NO 
 
 00 
 
 CM 
 
 CO 
 
 <r 
 
 in 
 
 i-^ 
 
 CM CO 
 
 in 
 
 in 
 
 CO 
 
 00 
 
 -h CO co -a- 
 
 NO 
 
 cm <• -3- m r^ 
 
 r-l 
 
 cfl 
 
 CO 
 
 . 
 
 
 . 
 
 o 
 
 NO 
 
 NO 
 
 ON 
 
 o 
 
 r-~ 
 
 00 
 
 00 
 
 CTN 
 
 CO 
 
 ri 
 
 o 
 
 o 
 
 <r 
 
 NO 
 
 ^ 
 
 o 
 
 l _ mt 
 
 o 
 
 o 
 
 m 
 
 CO 00 
 
 CM 
 
 ^ 
 
 o 
 
 00 
 
 o o o o 
 
 o 
 
 ~3- no <f O ON 
 
 •H 
 
 1- 
 
 c 
 
 4-1 
 
 00 
 
 r^ 
 
 m 
 
 -4t 
 
 oo 
 
 O 
 
 CO 
 
 CM 
 
 O 
 
 CN 
 
 «* 
 
 CO 
 
 CM 
 
 o 
 
 m 
 
 ON 
 
 r~ 
 
 o 
 
 CO 
 
 o 
 
 o 
 
 ON 
 
 o -a- 
 
 r^ 
 
 r^ 
 
 ON 
 
 CM 
 
 o o o o 
 
 o 
 
 no cm -3- ~a -a- 
 
 4-1 
 
 3 
 
 o 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 4-1 
 
 •H 
 
 a 
 
 in 
 
 <r 
 
 CN 
 
 t— 1 
 
 o 
 
 o 
 
 00 
 
 CO 
 
 NO 
 
 . — 1 
 
 NO 
 
 oo 
 
 NO 
 
 o 
 
 r-» 
 
 o 
 
 O 
 
 o 
 
 CM 
 
 o 
 
 o 
 
 NO 
 
 OO — 4 
 
 m 
 
 n 
 
 co 
 
 CO 
 
 o o o o 
 
 o 
 
 r-^ o in no -3- 
 
 c 
 
 CO 
 
 4-1 
 
 
 nO 
 
 00 
 
 ON 
 
 <f 
 
 00 
 
 o 
 
 00 
 
 NO 
 
 r-- 
 
 ON 
 
 oo 
 
 ON 
 
 00 O 
 
 co 
 
 r^ 
 
 r- 
 
 O ON 
 
 o 
 
 o 
 
 ON 
 
 ON 00 
 
 CO 
 
 oo 
 
 ON 
 
 ON 
 
 o o o o 
 
 o 
 
 on i — r^ on no 
 
 M 
 
 to 
 
 
 
 
 
 
 
 
 ^H 
 
 
 
 
 
 
 
 
 1-1 
 
 
 
 
 "■• 
 
 
 — 1 
 
 "* 
 
 
 
 
 
 
 
 ~* — 1 r— » . 1 
 
 * H 
 
 
 1 
 
 
 
 >> 
 
 m 
 
 co 
 
 o 
 
 CM 
 
 CO 
 
 NO 
 
 m 
 
 CO 
 
 m 
 
 in 
 
 m 
 
 , 
 
 r-~ 
 
 in 
 
 m 
 
 o 
 
 •j- 
 
 -* 
 
 CO 
 
 NO 
 
 
 m 
 
 ^ r~- 
 
 CO 
 
 ON 
 
 <r 
 
 O 
 
 m co r^ on 
 
 CM 
 
 r- -* -3- m -a- 
 
 t-l 
 
 •a 
 
 
 4-1 
 
 on 
 
 i — i 
 
 NO 
 
 CO 
 
 co 
 
 ON 
 
 CN 
 
 CM 
 
 ON 
 
 CM 
 
 o 
 
 o 
 
 <■ 
 
 oo 
 
 CTN 
 
 00 
 
 CO 
 
 O 
 
 1 — 1 
 
 r^ 
 
 r— 
 
 -3- 
 
 r~ O 
 
 ■ — i 
 
 NO 
 
 NO 
 
 ON 
 
 O CM CM 00 
 
 <T 
 
 r^ 00 CM -3- o 
 
 O 
 
 a) 
 
 >,tI ' 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 J-> 
 
 U 
 
 CO CJ 
 
 
 nO 
 
 CO 
 
 O 
 
 00 
 
 <* 
 
 in 
 
 CO 
 
 in 
 
 r^ 
 
 <r 
 
 o 
 
 o 
 
 o 
 
 <r 
 
 ON 
 
 
 -a- 
 
 «* 
 
 <r 
 
 00 
 
 •a- 
 
 <r oo 
 
 CO 
 
 i-H 
 
 CO 
 
 
 on cm m -a- 
 
 CM 
 
 CO CO ON 00 •— ' 
 
 c 
 
 CO 
 
 T3 
 
 C Cu 
 
 o 
 
 O 
 
 o 
 
 •— I 
 
 ON 
 
 o 
 
 o 
 
 ON 
 
 On 
 
 ON 
 
 o 
 
 ~H 
 
 o 
 
 o 
 
 o 
 
 On 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 On ON 
 
 o 
 
 o 
 
 o 
 
 O 
 
 00 On ON ON 
 
 O 
 
 O O On O O 
 
 
 
 -o 
 
 
 01 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 o 
 
 
 
 TJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a' 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 u 
 
 4-> 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 
 
 a 
 
 U 
 
 * 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o o o o 
 
 O 
 
 O O O O O 
 
 4-1 
 
 01 
 
 0) 
 
 4-1 4J 
 
 CO 
 
 r< 
 
 CN 
 
 r- 
 
 oo 
 
 <r 
 
 CM 
 
 1 — 1 
 
 o 
 
 o 
 
 <r 
 
 CM 
 
 ~i- 
 
 <r 
 
 CM 
 
 CO 
 
 CM 
 
 00 
 
 CM 
 
 <f 
 
 r^ 
 
 NO 
 
 cm ~a 
 
 ON 
 
 CM 
 
 m 
 
 CM 
 
 CM -3- CO O 
 
 o 
 
 on no in oo co 
 
 CO 
 
 4-) 
 
 4J 
 
 CO CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •.-4 
 
 c 
 
 y-i 
 
 oi a 
 
 oo 
 
 CN 
 
 <r 
 
 CO 
 
 co 
 
 CO 
 
 <r 
 
 oo 
 
 NO 
 
 CM 
 
 CO 
 
 CO 
 
 NO 
 
 00 
 
 CO 
 
 o 
 
 O 
 
 CM 
 
 <r 
 
 
 <r 
 
 m 
 
 o -a- 
 
 CO 
 
 <r 
 
 <r 
 
 00 
 
 oo oo no oo 
 
 CM 
 
 CM O — i ~-> O 
 
 o 
 
 o 
 
 cd 
 
 4-1 
 
 —- ( 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 1 — 1 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CO CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CO CO CO CO 
 
 CO 
 
 CM CN CM CM CM 
 
 53 
 
 CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 >-. 
 
 
 On 
 
 r^ 
 
 CO 
 
 O 
 
 ON 
 
 NO 
 
 p~- 
 
 oo 
 
 ,_, 
 
 ON 
 
 •* 
 
 ON 
 
 -a- 
 
 00 
 
 NO 
 
 ^ 
 
 m 
 
 O 
 
 ON 
 
 ^D 
 
 ON 
 
 _, 
 
 in On 
 
 ON 
 
 CO 
 
 nO 
 
 ON 
 
 n in h on 
 
 NO 
 
 co r-. oo on no 
 
 
 
 4-1 
 
 
 nO 
 
 <r 
 
 ON 
 
 o 
 
 m 
 
 NO 
 
 m 
 
 CM 
 
 oo 
 
 NO 
 
 ON 
 
 00 
 
 NO 
 
 O 
 
 r^ 
 
 U"l 
 
 r~ 
 
 m 
 
 o 
 
 O 
 
 CM 
 
 O 
 
 00 ON 
 
 CO 
 
 00 
 
 r^ 
 
 m 
 
 m oo -a- o 
 
 I— 1 
 
 CM CO CM ON CM 
 
 
 >.-rt 
 
 M-l 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 U 
 
 CO 
 
 o 
 
 r^ 
 
 o 
 
 CO 
 
 m 
 
 -3- 
 
 OO 
 
 m 
 
 o 
 
 ON 
 
 00 
 
 in 
 
 ON 
 
 <r 
 
 CN 
 
 co 
 
 <r 
 
 -3- 
 
 o 
 
 oo 
 
 CO 
 
 r-~ 
 
 >* 
 
 NO ~H 
 
 in 
 
 ■* 
 
 CM 
 
 o 
 
 -icOntO 
 
 r~ 
 
 r*~ no -3" on co 
 
 
 o 
 
 4) 
 
 a. 
 
 en 
 
 o 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 On 
 
 00 
 
 CO 
 
 ON 
 
 On 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 o 
 
 ON 
 
 ON 
 
 On 
 
 On 
 
 00 ON 
 
 on 
 
 ON 
 
 On 
 
 ON 
 
 oo i — oo oo 
 
 00 
 
 ON ON ON ON CJN 
 
 
 XI 
 
 CD 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CI) 
 
 S-i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 3 
 
 •H 
 
 in 
 
 o 
 
 m 
 
 o 
 
 m 
 
 o 
 
 n 
 
 o 
 
 m 
 
 o 
 
 in 
 
 O 
 
 m 
 
 o 
 
 o 
 
 m 
 
 o 
 
 in 
 
 o 
 
 o 
 
 in 
 
 O 
 
 in o 
 
 m 
 
 in 
 
 o 
 
 o 
 
 m o o m 
 
 O 
 
 m o o m o 
 
 
 .-1 
 
 CO 
 
 CO 
 
 CM 
 
 U0 
 
 r^ 
 
 o 
 
 CM 
 
 in 
 
 r-» 
 
 o 
 
 CM 
 
 in 
 
 r- 
 
 o 
 
 CM 
 
 in 
 
 m 
 
 r^ 
 
 o 
 
 CM 
 
 in 
 
 in 
 
 r— 
 
 O 
 
 cm in 
 
 r~~ 
 
 p«. 
 
 o 
 
 o 
 
 cm in m r~ 
 
 o 
 
 cni mms o 
 
 
 a 
 
 CO 
 
 Cu 
 
 
 
 
 rt 
 
 
 
 
 ~H 
 
 
 
 
 1— 1 
 
 
 
 
 
 t— 1 
 
 
 
 
 
 -H 
 
 
 
 
 i-H 
 
 .— 1 
 
 
 .—1 
 
 ~H 
 
 
 9- 
 
 01 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 <s 
 
 U 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 >n 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 NW 
 
 4-1 
 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM CM CM 
 
 CM 
 
 CM CM CM CM CM 
 
 
 ■H 
 O 
 
 o> 
 
 •H 
 > 
 
 cd 
 
 
 oo 
 
 00 
 
 oo 
 
 00 
 
 00 
 
 00 
 
 00 
 
 oo 
 
 oo 
 
 00 
 
 oo 
 
 oo 
 
 oo 
 
 00 
 
 00 
 
 00 
 
 oo 
 
 00 
 
 00 
 
 CO 
 
 00 
 
 00 
 
 00 00 
 
 00 
 
 CO 
 
 CO 
 
 00 
 
 00 00 00 00 
 
 oo 
 
 oo oo oo oo oo 
 
 
 
 CN 
 
 CM 
 
 CN 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM CM CM 
 
 CM 
 
 CM CM CM CM CM 
 
 
 o, 
 
 i-i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 w 
 
 bO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a) 
 
 ^ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 H 
 
 u 
 
 4-1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 cd 
 
 ■s 
 
 a 
 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 O 
 
 o 
 
 O 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 O 
 
 o o 
 
 O 
 
 O 
 
 O 
 
 o 
 
 o o o o 
 
 O 
 
 o o o o o 
 
 i-i 
 
 4-1 
 
 01 
 
 4-1 
 
 00 
 
 r* 
 
 1-^ 
 
 CO 
 
 00 
 
 CO 
 
 m 
 
 -* 
 
 o 
 
 o 
 
 r^ 
 
 r^ 
 
 -tf 
 
 NO 
 
 <f 
 
 00 
 
 NO 
 
 o 
 
 <r 
 
 -* 
 
 in 
 
 O 
 
 r^ -a- 
 
 r^ 
 
 O ON 
 
 CM 
 
 in r~ in oo 
 
 in 
 
 O nO CM O CO 
 
 4J 
 
 CO 
 
 4J 
 
 O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 •H 
 
 c 
 
 a. 
 
 00 
 
 CN 
 
 m 
 
 ON 
 
 -d- 
 
 o 
 
 NO 
 
 
 NO 
 
 CM 
 
 m 
 
 NO 
 
 NO 
 
 CO 
 
 -cr 
 
 
 
 o 
 
 i-^ 
 
 CO 
 
 O 
 
 o 
 
 in no 
 
 in 
 
 NO 
 
 ON 
 
 
 CO NO H CM 
 
 
 00 O CO nO o 
 
 C 
 
 o 
 
 o 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CN 
 
 CM 
 
 CO 
 
 CM 
 
 co 
 
 CO 
 
 CO 
 
 CO CM 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 -a- -a- <a- -a- 
 
 <f 
 
 CM CM CM CM CM 
 
 H 
 
 1 
 
 CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 i-H 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 
 o 
 
 00 
 
 00 
 
 NO 
 
 o 
 
 CO 
 
 —H 
 
 CTN 
 
 r-~ 
 
 r-^ 
 
 CM 
 
 CM 
 
 ON 
 
 |-~ 
 
 ON 
 
 CTN 
 
 CTN 
 
 m 
 
 CN 
 
 r- 
 
 m 
 
 ON 
 
 CO 
 
 r~ -a- 
 
 m 
 
 m 
 
 CO 
 
 CO 
 
 oo co no oo 
 
 o 
 
 OVM-. H CO 
 
 
 i-l 
 
 XI 
 
 •H 
 
 o 
 
 m 
 
 00 
 
 o 
 
 NO 
 
 ON 
 
 <r 
 
 in 
 
 NO 
 
 CTN 
 
 <r 
 
 NO 
 
 NO 
 
 1— 1 
 
 CO 
 
 NO 
 
 NO 
 
 in 
 
 co 
 
 on 
 
 o 
 
 r~- 
 
 CM —I 
 
 <r 
 
 m 
 
 ON 
 
 •a- 
 
 in co oo on 
 
 CM 
 
 O CM NO nO 00 
 
 
 4-> 
 
 ■H 
 
 4-1 
 
 oo 
 
 f~ 
 
 r» 
 
 o 
 
 00 
 
 r~~ 
 
 CO 
 
 ON 
 
 ON 
 
 ON 
 
 oo 
 
 r~ 
 
 00 
 
 ON 
 
 r^- 
 
 00 
 
 oo 
 
 r~. 
 
 00 
 
 f~ 
 
 oo 
 
 00 
 
 O ON 
 
 CO 
 
 CO 
 
 00 
 
 ON 
 
 -h CM O —l 
 
 O 
 
 CO CO CO N CO 
 
 
 ■H 
 
 o 
 
 cd 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 > 
 
 u 
 
 o 
 
 
 
 CM 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ H 
 
 
 
 
 
 
 
 
 ^H 
 
 1 
 
 •H 
 
 
 
 
 CO 
 
 in 
 
 O 
 
 oo 
 
 o 
 
 CM 
 
 ^ 
 
 -d- 
 
 00 
 
 CO 
 
 CM 
 
 00 
 
 t~» 
 
 ON 
 
 CO 
 
 m 
 
 -d- 
 
 CO 
 
 <r 
 
 m 
 
 O 
 
 CO CM 
 
 in 
 
 r~ 
 
 in 
 
 ^ 
 
 -3- in -3- nO 
 
 ON 
 
 CM CM O OO r-» 
 
 to 
 
 r-( 
 
 c 
 
 
 <r 
 
 in 
 
 <r 
 
 O 
 
 CNO 
 
 nD 
 
 On 
 
 oo 
 
 NO 
 
 CO 
 
 r^ 
 
 on 
 
 m 
 
 oo 
 
 m 
 
 m 
 
 NO 
 
 CO 
 
 m 
 
 nD 
 
 o 
 
 O 
 
 00 nO 
 
 r- 
 
 nO 
 
 o 
 
 -H 
 
 oo -3- —i m 
 
 -a- 
 
 no r^ in r*» r^ 
 
 •H 
 
 O 
 
 
 
 
 o 
 
 o 
 
 o 
 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 —4 
 
 .— i 
 
 O O 
 
 o 
 
 o 
 
 i— 4 
 
 f— 1 
 
 o — i —i — i 
 
 *—* 
 
 o o o o o 
 
 -4-1 
 
 CO 
 
 •H 
 
 c 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1-1 
 
 B 
 
 4-1 
 
 •H 
 
 o 
 
 i 
 
 i 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 i 
 
 i 
 
 I 
 
 i 
 
 i 
 
 i 
 
 i 
 
 1 
 
 1 
 
 i 
 
 1 1 
 
 i 
 
 1 
 
 1 
 
 1 
 
 i i i i 
 
 i 
 
 1 1 1 1 1 
 
 c 
 
 o 
 
 cd 
 
 
 i 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 M 
 
 CJ 
 
 "O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 o. 
 
 
 m 
 
 NO 
 
 T-* 
 
 00 
 
 ON 
 
 o 
 
 
 CM 
 
 CO 
 
 -* 
 
 m 
 
 NO 
 
 r~ 
 
 00 
 
 ON 
 
 o 
 
 
 CM 
 
 co 
 
 -* 
 
 m 
 
 NO 
 
 r^ oo 
 
 ON 
 
 o 
 
 
 CM 
 
 co -a- m no 
 
 r^ 
 
 00 ON O -< CM 
 
 
 
 
 CO 
 W 
 
 
 00 
 
 00 
 
 00 
 
 00 
 
 00 
 
 ON 
 
 CTN 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o o 
 
 o 
 
 
 
 
 
 
 rt HNCM CN 1 
 
21 
 
 CO 
 CO 
 CO 
 
 S3 
 
 00 
 
 S3 
 o 
 
 CO CO «/"* i/^ 00 
 
 st 
 
 OB 
 
 - 
 
 © 
 
 uo 
 
 -3 
 
 on 
 
 o 
 
 CM 
 
 lO 
 
 CM 
 
 p** 
 
 in 
 
 <r 
 
 X 
 
 CO 
 
 On 
 
 CM 
 
 vO 
 
 iC 
 
 <r 
 
 <r 
 
 co 
 
 <r 
 
 ST 
 
 go 
 
 CO 
 
 o 
 
 CO 
 
 •* 
 
 s3 
 
 o 
 
 CM 
 
 O 
 
 CO 
 
 MO 
 
 CO 
 
 m 
 
 m 
 
 m 
 
 CO 
 
 M0 
 
 CM 
 
 O 
 
 CM 
 
 •* 
 
 ps 
 
 ST 
 
 uo 
 
 ps 
 
 ac 
 
 — 
 
 •* 
 
 M3 
 
 in 
 
 CM 
 
 in 
 
 ps 
 
 o 
 
 ** 
 
 — 
 
 ps 
 
 on 
 
 CM 
 
 o 
 
 X 
 
 in 
 
 oo 
 
 r- 
 
 <r 
 
 en 
 
 oo 
 
 S3 
 
 «* 
 
 <r 
 
 ON 
 
 <r 
 
 MO 
 
 st 
 
 CM 
 
 on 
 
 MO 
 
 m 
 
 CM 
 
 CM 
 
 ~3 
 
 ON 
 
 MO 
 
 cc 
 
 MD 
 
 Ci 
 
 CO 
 
 _ 
 
 ^j. 
 
 o 
 
 o> 
 
 _ 
 
 Cf> 
 
 p^ 
 
 in 
 
 cm 
 
 CO 
 
 O 
 
 in 
 
 _ 
 
 m 
 
 _ 
 
 _ 
 
 co 
 
 c 
 
 ps. 
 
 in 
 
 o 
 
 CM 
 
 O 
 
 C| 
 
 CM 
 
 _, 
 
 Ps 
 
 O 
 
 CM 
 
 _, 
 
 0\ 
 
 on 
 
 o 
 
 CM 
 
 nO 
 
 O 
 
 OO 
 
 CO 
 
 m 
 
 Ol 
 
 CTN 
 
 ^.o 
 
 p*» 
 
 BN 
 
 S3 
 
 mo 
 
 p ^ 
 
 cc 
 
 ■ 
 
 st 
 
 UO 
 
 '"*■ 
 
 CM 
 
 sT 
 
 MO 
 
 CO 
 
 CM 
 
 s3 
 
 c 
 
 00 
 
 CM 
 
 ^-r 
 
 CO 
 
 m 
 
 ps 
 
 CM 
 
 <r 
 
 MO 
 
 r-« 
 
 00 
 
 CM 
 
 <r 
 
 N© 
 
 p~ 
 
 CM 
 
 CO 
 
 m 
 
 00 
 
 CM 
 
 CM 
 
 uo 
 
 M0 
 
 MO 
 
 00 
 
 CM 
 
 CO 
 
 m 
 
 r^ 
 
 LO 
 
 X 
 
 ^ 
 
 in 
 
 CM 
 
 in 
 
 er> 
 
 X 
 
 <r 
 
 in 
 
 CM 
 
 S3 
 
 CO 
 
 r*~ 
 
 in 
 
 p-s 
 
 oo 
 
 sT 
 
 ps 
 
 
 X 
 
 m 
 
 M0 
 
 sr 
 
 CO 
 
 X 
 
 p~- 
 
 00 
 
 O 
 
 o 
 
 in 
 
 O 
 
 CM 
 
 MD 
 
 <r 
 
 00 
 
 CM 
 
 O 
 
 mo 
 
 CM 
 
 -3 
 
 r- 
 
 CO 
 
 ON 
 
 «* 
 
 S3 
 
 1— 
 
 r 
 
 ^ 
 
 — 
 
 MO 
 
 ST 
 
 — ■ 
 
 CO 
 
 CO 
 
 uo 
 
 cm 
 
 co 
 
 oo 
 
 X 
 
 mc 
 
 M0 
 
 ps 
 
 in 
 
 — 
 
 vO 
 
 CO 
 
 -3 
 
 <T 
 
 <r 
 
 *» 
 
 on 
 
 CM 
 
 ps 
 
 r- 
 
 CM 
 
 in 
 
 vO 
 
 rs 
 
 CM 
 
 oo 
 
 — ' 
 
 ps 
 
 M0 
 
 <r 
 
 CM 
 
 rt 
 
 <r 
 
 — 1 
 
 O 
 
 _< 
 
 _ 
 
 X 
 
 o> 
 
 CO 
 
 _, 
 
 N 
 
 sT 
 
 in 
 
 -3- 
 
 - 
 
 .- 
 
 on 
 
 O 
 
 o 
 
 •» 
 
 M0 
 
 oo 
 
 CO 
 
 <r 
 
 _* 
 
 m 
 
 CO 
 
 ifi 
 
 ro 
 
 X 
 
 CO 
 
 ps 
 
 _^ 
 
 O 
 
 m 
 
 o 
 
 O 
 
 ON 
 
 -3 
 
 00 
 
 m 
 
 _< 
 
 en 
 
 ^ 
 
 CM 
 
 M0 
 
 O 
 
 o 
 
 CO 
 
 X 
 
 X 
 
 ps 
 
 rs. 
 
 On 
 
 S3 
 
 JO 
 
 JO 
 
 -a- 
 
 <r 
 
 MO 
 
 CO 
 
 S3 
 
 in 
 
 MO 
 
 X 
 
 ps 
 
 -3 
 
 CM 
 
 U"> 
 
 U"l 
 
 <r 
 
 CO 
 
 CO 
 
 I/O 
 
 MS 
 
 ps 
 
 co 
 
 CO 
 
 10 
 
 r~ 
 
 MO 
 
 X 
 
 CO 
 
 ps 
 
 co 
 
 CO 
 
 M0 
 
 ps 
 
 •X 
 
 o> 
 
 CO 
 
 CO 
 
 00 
 
 oo 
 
 mo 
 
 X 
 
 ■Z 
 
 CO 
 
 o> 
 
 ao 
 
 a 
 
 U0 
 
 
 co 
 
 uo 
 
 MS 
 
 S3 
 
 in 
 
 in 
 
 <r 
 
 S3 
 
 CO 
 
 O 
 
 CM 
 
 
 00 
 
 o 
 
 JO 
 
 CO 
 
 o 
 
 00 
 
 CM 
 
 m 
 
 CO 
 
 o 
 
 CO 
 
 CM 
 
 CO 
 
 co 
 
 ps 
 
 
 m 
 
 m 
 
 
 M0 
 
 CO 
 
 
 ^o 
 
 oo 
 
 -C 
 
 ~~ 
 
 z 
 
 S3 
 
 in 
 
 — ' 
 
 X 
 
 ,H 
 
 "~* 
 
 ~~* 
 
 CO 
 
 st 
 
 CO 
 
 m 
 
 ~* 
 
 MO 
 
 CM 
 
 co 
 
 m 
 
 ~~* 
 
 o> 
 
 m 
 
 ps 
 
 CO 
 
 ifi 
 
 oo 
 
 in 
 
 P~ 
 
 co 
 
 v£> 
 
 M3 
 
 CO 
 
 r^ 
 
 r^ 
 
 m 
 
 m 
 
 CO 
 
 o> 
 
 CO 
 
 CO 
 
 -3 
 
 On 
 
 CO 
 
 UO 
 
 o> 
 
 c~ r^ r^«. *n 
 
 u-\ <r m o> 
 
 in o> <r 
 
 en 
 
 O -3- co en oo 
 
 CO CT» O 0> 
 
 o*\ o cr* o> 
 
 CMJnO 
 
 o 
 
 C7\ O^ C^ O^ CT^ 
 
 c 
 
 a 
 
 C 
 
 - 
 
 o 
 
 O 
 
 O 
 
 a 
 
 o 
 
 O 
 
 C 
 
 a 
 
 O 
 
 O 
 
 O 
 
 CO 
 
 o 
 
 O 
 
 o 
 
 c 
 
 O 
 
 O 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o o 
 
 O 
 
 o 
 
 M0 
 
 -~ 
 
 t— 
 
 o> 
 
 ac 
 
 in 
 
 -3 
 
 - * 
 
 CO 
 
 ON 
 
 -~ 
 
 CO 
 
 co 
 
 m 
 
 CO 
 
 -3 
 
 — 
 
 r~ 
 
 C-! 
 
 ON 
 
 CM 
 
 -^ 
 
 ■a 
 
 r-~ 
 
 lO 
 
 — 
 
 CM 
 
 r^ 
 
 00 
 
 m oo 
 
 CM 
 
 CM 
 
 CO 
 
 ■3- 
 
 CO 
 
 in 
 
 CM 
 
 MC 
 
 CO 
 
 o 
 
 -H P~ 
 
 — ' 
 
 UO 
 
 -3- 
 
 <r 
 
 in 
 
 -. 
 
 CO 
 
 00 
 
 o 
 
 CM 
 
 CM 
 
 ~3 
 
 X 
 
 CO 
 
 r-^ 
 
 MO 
 
 ON 
 
 -3 
 
 CM 
 
 p^. 
 
 X 
 
 r^ 
 
 _ 
 
 NO 
 
 CM 
 
 CO 
 
 r^ 
 
 o 
 
 ON 
 
 m 
 
 o 
 
 —I CM 
 
 _ 
 
 <* 
 
 m 
 
 CO 
 
 CO 
 
 _< 
 
 OO 
 
 CO 
 
 CO 
 
 ON 
 
 o m 
 
 r- 
 
 CJ 
 
 -. 
 
 -. 
 
 c. 
 
 CM 
 
 
 
 CM 
 
 -. 
 
 
 ~ 
 
 
 
 
 
 
 CM 
 
 CM 
 
 
 
 
 " 
 
 " 
 
 ~ 
 
 ^ 
 
 ^ 
 
 CM 
 
 " 
 
 " 
 
 ^^ 
 
 CM CM 
 
 CM 
 
 CM 
 
 ' 
 
 CM 
 
 " 
 
 CM 
 
 
 CM 
 
 CM 
 
 ^ H 
 
 •H CM 
 
 
 CM 
 
 PS 
 
 I 
 
 r*» 
 
 pH 
 
 j^ 
 
 ao 
 
 co 
 
 ~^ 
 
 00 
 
 P"» 
 
 X 
 
 CM 
 
 1 
 
 i 
 
 o 
 
 _^ 
 
 CM 
 
 o 
 
 ts 
 
 in 
 
 ao 
 
 CO 
 
 <3 
 
 o 
 
 ^^ 
 
 ^ H 
 
 m 
 
 ^3 
 
 _ H 
 
 On <3 
 
 MO 
 
 r». 
 
 _, 
 
 in 
 
 CO 
 
 CO 
 
 MD 
 
 oo 
 
 O 
 
 MO 
 
 mo in 
 
 M3 
 
 CM 
 
 O 
 
 ~. 
 
 -r 
 
 e 
 
 ao 
 
 CM 
 
 X 
 
 <r 
 
 On 
 
 in 
 
 vO 
 
 -3 
 
 — 
 
 *"* 
 
 
 co 
 
 CO 
 
 o 
 
 c 
 
 C-l 
 
 in 
 
 ^ - 
 
 " - 
 
 vO 
 
 MD 
 
 m 
 
 oo 
 
 r^ 
 
 "^ 
 
 CO MO 
 
 00 
 
 m 
 
 r- 
 
 in 
 
 ON 
 
 CM 
 
 r^ 
 
 CM 
 
 oo 
 
 ON 
 
 O ON 
 
 vO 
 
 O 
 
 m o m o o 
 cm in p- o o 
 
 in o in o 
 cm in p-^ o 
 
 -. 
 
 -. 
 
 -■ 
 
 
 CM 
 
 CO 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO CO 
 
 -3 
 
 -3- 
 
 ~3 -3 
 
 -3 ~3 
 
 -T 
 
 <r 
 
 -3- -3 
 
 •Of 
 
 <T 
 
 «9 
 
 <r 
 
 -3- 
 
 «ar 
 
 <t 
 
 -3 
 
 X 
 
 X 
 
 er- 
 
 as 
 
 CO 
 
 00 
 
 X 
 
 X 
 
 oo 
 
 00 
 
 X 
 
 X 
 
 oo 
 
 00 
 
 DC 
 
 X 
 
 oo 
 
 oo 
 
 X 
 
 X 
 
 X 
 
 00 
 
 ao 
 
 X 
 
 X 
 
 oo oo 
 
 00 
 
 X 
 
 00 00 
 
 oo oo 
 
 00 
 
 oo 
 
 00 00 
 
 X 
 
 00 
 
 00 
 
 oo 
 
 oo 
 
 CO 
 
 00 
 
 00 
 
 
 
 
 
 CM 
 
 CM 
 
 -1 
 
 -; 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CJ 
 
 CM 
 
 CM 
 
 CM 
 
 n 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CI 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 = 
 
 CO 
 
 CO 
 
 o 
 
 o 
 
 o 
 
 o 
 
 — 
 
 o 
 
 O 
 
 O 
 
 CC 
 
 o 
 
 o 
 
 a 
 
 O 
 
 o 
 
 o 
 
 o 
 
 a 
 
 O 
 
 o 
 
 o 
 
 a 
 
 o 
 
 O 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 a 
 
 o o 
 
 o 
 
 O 
 
 c 
 
 UO 
 
 CO 
 
 o- 
 
 CM 
 
 in 
 
 - 
 
 - * 
 
 ON 
 
 ON 
 
 —" 
 
 CO 
 
 en 
 
 in 
 
 CO 
 
 -3" 
 
 MO 
 
 o 
 
 c: 
 
 ON 
 
 a 
 
 ** 
 
 o 
 
 r^ 
 
 M0 
 
 — 
 
 CM 
 
 p^ 
 
 00 
 
 UO 
 
 U0 
 
 CM 
 
 <r 
 
 CO 
 
 -» 
 
 CO 
 
 UO 
 
 CO 
 
 ^o 
 
 CO 
 
 o 
 
 CM P~ 
 
 l£J 
 
 OO 
 
 - 
 
 - 
 
 -- 
 
 ^3 
 
 UO 
 
 00 
 
 c 
 
 ex 
 
 MO 
 
 -3 
 
 X 
 
 CO 
 
 p^ 
 
 M3 
 
 ON 
 
 -3 
 
 CM 
 
 ON 
 
 00 
 
 PS 
 
 
 
 MO 
 
 CO 
 
 CO 
 
 Ps 
 
 c 
 
 ON 
 
 in 
 
 o 
 
 __ 
 
 NO 
 
 _, 
 
 uo 
 
 UO 
 
 CO 
 
 CO 
 
 ^, 
 
 rp 
 
 CO 
 
 CO 
 
 ot 
 
 CO U0 
 
 r^ 
 
 UO 
 
 
 -■ 
 
 -. 
 
 
 CM 
 
 
 CM 
 
 •. 
 
 ~" * 
 
 
 ~ 
 
 ~* 
 
 _J 
 
 
 "^ 
 
 f 1 
 
 CM 
 
 ~* 
 
 
 
 
 ^^ 
 
 ""* 
 
 ~* 
 
 ^^ 
 
 CM 
 
 ~* 
 
 ' 
 
 "" ' 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 ~* 
 
 CM 
 
 ' 
 
 eM 
 
 "* 
 
 CM 
 
 CM 
 
 CM 
 
 — < CM 
 
 CM 
 
 CM 
 
 
 ~ 
 
 - 
 
 o 
 
 CO 
 
 r^ 
 
 - 
 
 o 
 
 UO 
 
 _ 
 
 NO 
 
 X 
 
 CO 
 
 00 
 
 X 
 
 r 
 
 -3 
 
 CO 
 
 ■r 
 
 -3 
 
 o 
 
 UO 
 
 o 
 
 -3- 
 
 r^ 
 
 ^ H 
 
 UO 
 
 MO 
 
 00 
 
 o 
 
 o 
 
 UO 
 
 m 
 
 CO 
 
 UO 
 
 __, 
 
 p*» 
 
 I 
 
 ^ H 
 
 co 
 
 ON 
 
 MO rs 
 
 po 
 
 sD 
 
 .' 
 
 T 
 
 ■z. 
 
 X 
 
 ■D 
 
 UO 
 
 -. 
 
 -- 
 
 uo 
 
 UO 
 
 f 
 
 i 
 
 oo 
 
 — 1 
 
 ON 
 
 -* 
 
 CO 
 
 o 
 
 X 
 
 V\ 
 
 -r 
 
 O 
 
 o 
 
 O 
 
 e 
 
 CO 
 
 CO 
 
 ON 
 
 o 
 
 O 
 
 o 
 
 ON 
 
 OO 
 
 cr 
 
 ON 
 
 p- 
 
 — < 
 
 — < 
 
 --r 
 
 — i 
 
 CO 
 
 CO O 
 
 I 
 
 x. 
 
 X 
 
 00 
 
 ON 
 
 X 
 
 r^ 
 
 CM 
 
 ON 
 
 ON 
 
 O 
 
 ON 
 
 DC 
 
 O 
 
 on 
 
 ON 
 
 at 
 
 X 
 
 ao 
 
 - 
 
 cr 
 
 cr 
 
 G 
 
 o 
 
 - 
 
 a 
 
 X. 
 
 X 
 
 ps 
 
 - 
 
 ON 
 
 O 
 
 o 
 
 ON 
 
 OO 
 
 O 
 
 00 
 
 ON 
 
 rs 
 
 er 
 
 x. 
 
 oo 
 
 Po 
 
 O On 
 
 CT 
 
 CO 
 
 r, ~ O C " ■ 
 
 ~* -' ac ao p** 
 
 ~ — CP -O 
 UO JO p^ o- 
 
 O T- CO CO 
 
 00 CO JO CO 
 ^3 X 00 O 
 O O O — 
 
 O — • O lo 
 CO MO Ps MO 
 
 o o o o 
 
 o ao o oo mo 
 
 N ITI N Ps — 
 
 o o © o o 
 
 CM ON po O CM 
 MO 00 00 00 M0 
 
 o o o o o 
 
 ps UO MO O 
 S3 UO MO — * 
 
 O O O -« 
 
 sr -h is m 
 uo ps p^ o 
 o o o —• 
 
 On 00 CO o o o 
 st CO U0 U0 00 MO 
 
 o o o o c o 
 
 CO 00 — < CO 
 
 in ps oo —i 
 O O O — i 
 
 EDO O — 
 
 * . — -f lT 
 
 ^ r*. X iT 
 
 O -^ eg <n -sT 
 
 lA n-O f>K CO 0*v 
 
 o ~^ r^i <n 
 
 ■»* tn ^ r^ 
 
 -~ — 
 
 *— "" [*! pH 
 
 ""■""■"*■'*■ 
 
 *.T *sT -sT -T ^ 
 
 -sT >sT <T <T <t 
 
 m in in in 
 
 in in in m 
 
22 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ON 
 
 
 
 
 
 
 
 
 
 •H 
 
 ■H 
 
 
 
 
 o 
 
 
 
 
 t— i 
 
 
 
 CM 
 
 
 
 in 
 
 
 
 CM 
 
 
 
 00 
 
 
 
 IN 
 
 
 
 
 n. 
 
 
 
 
 
 00 
 
 
 
 
 CO 
 
 CO 
 
 
 
 
 -a- 
 
 
 
 
 so 
 
 
 
 -* 
 
 
 
 O 
 
 
 
 m 
 
 
 
 ^r 
 
 
 
 oo 
 
 
 
 
 00 
 
 
 
 
 
 IN 
 
 
 
 
 01 
 
 a 
 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 
 o 
 o 
 
 
 
 
 
 CNl 
 
 
 
 
 
 
 
 
 OS 
 
 
 
 
 
 
 
 in 
 
 
 
 -a- 
 
 
 
 
 
 
 
 
 
 
 
 
 
 m 
 
 
 
 •-< 
 
 c 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 « 
 
 o 
 
 m 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 d 
 
 •H 
 
 <u 
 
 
 
 
 -a- 
 
 
 
 
 .—i 
 
 
 
 sO 
 
 
 
 00 
 
 
 
 sO 
 
 
 
 i — i 
 
 
 
 ^H 
 
 
 
 
 r— 1 
 
 
 
 
 
 IN 
 
 
 
 u 
 
 u 
 
 .-1 
 
 M 
 
 
 
 CM 
 
 
 
 
 OS 
 
 
 
 sO 
 
 
 
 r» 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 o 
 
 
 
 
 o 
 
 
 
 
 
 -3- 
 
 
 
 o> 
 
 
 
 M 
 
 01 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 
 
 • 
 
 
 
 4J 
 
 1-1 
 
 C 
 
 T3 
 
 
 
 in 
 
 
 
 
 r^ 
 
 
 
 vr 
 
 
 
 sO 
 
 
 
 00 
 
 
 
 |N 
 
 
 
 sO 
 
 
 
 
 sO 
 
 
 
 
 
 IN 
 
 
 
 c 
 
 u 
 
 CO 
 
 
 
 
 CO 
 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 co 
 
 
 
 CO 
 
 
 
 
 CO 
 
 
 
 
 
 CO 
 
 
 
 H 
 
 M-l 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 (0 
 
 iw 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 
 
 O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 i-l 
 
 
 >s 
 
 
 
 CO 
 
 
 
 
 oo 
 
 
 
 00 
 
 
 
 IN 
 
 
 
 00 
 
 
 
 oo 
 
 
 
 
 
 
 
 sO 
 
 
 
 
 
 in 
 
 
 
 
 c 
 
 M 
 
 4-1 
 
 
 
 in 
 
 
 
 
 00 
 
 
 
 CO 
 
 
 
 I — 1 
 
 
 
 t— 1 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 
 .—i 
 
 
 
 
 
 rN 
 
 
 
 
 Q) 
 
 o 
 
 01 
 
 
 
 CM 
 
 
 
 
 CM 
 
 
 
 o 
 
 
 
 OS 
 
 
 
 00 
 
 
 
 in 
 
 
 
 CM 
 
 
 
 
 o 
 
 
 
 
 
 r~ 
 
 
 
 
 .-i 
 
 4-> 
 
 CH 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^H 
 
 CJ 
 
 CO 
 
 
 
 
 
 
 
 
 . — I 
 
 
 
 CM 
 
 
 
 
 
 
 
 .—1 
 
 
 
 
 
 
 
 i— I 
 
 
 
 
 CN 
 
 
 
 
 
 • — i 
 
 
 
 
 <U 
 
 CO 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 fe 
 
 M-l 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 N, 
 
 
 rN 
 
 so 
 
 _, 
 
 CO 
 
 O 
 
 CO 
 
 m 
 
 _, 
 
 OS 
 
 sO 
 
 o 
 
 m 
 
 m 
 
 CM 
 
 OS 
 
 sO 
 
 CNl 
 
 CN 
 
 <r 
 
 o 
 
 CM 
 
 CM 
 
 00 
 
 ON 
 
 Os 
 
 CN 
 
 CO 
 
 OS 
 
 ON 
 
 ON 
 
 00 
 
 OS 
 
 o 
 
 CM 
 
 sO 
 
 CM 
 
 CM 
 
 o 
 
 ro 
 
 IN 
 
 CM 
 
 
 
 4-1 
 
 
 Os 
 
 rN 
 
 00 
 
 1 — 1 
 
 m 
 
 CO 
 
 os 
 
 CO 
 
 . — i 
 
 <r 
 
 1 — 
 
 m 
 
 i — i 
 
 -a- 
 
 SO 
 
 CO 
 
 OS 
 
 SO 
 
 |N 
 
 CM 
 
 00 
 
 ON 
 
 co 
 
 IN 
 
 SO 
 
 IN 
 
 —4 
 
 f— 1 
 
 t-H 
 
 CM 
 
 IN 
 
 <r 
 
 o 
 
 -a- 
 
 CO 
 
 •a- 
 
 CO 
 
 x» 
 
 CO 
 
 -3 
 
 O 
 
 
 4-1 
 
 •H 
 
 M-l 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 CO 
 
 CJ 
 
 ! 1 
 
 sD 
 
 00 
 
 CO 
 
 CO 
 
 in 
 
 vO 
 
 CO 
 
 CM 
 
 sO 
 
 r-^ 
 
 CO 
 
 00 
 
 oo 
 
 IN 
 
 m 
 
 IN 
 
 OS 
 
 i — 1 
 
 ■ — 1 
 
 1 — 1 
 
 <— 1 
 
 rN 
 
 m 
 
 IN 
 
 sO 
 
 m 
 
 00 
 
 sO 
 
 sO 
 
 oo 
 
 sO 
 
 OS 
 
 IN 
 
 <r 
 
 oo 
 
 00 
 
 sO 
 
 CM 
 
 O 
 
 •— i 
 
 
 3 
 
 C 
 0) 
 
 -a 
 
 a 
 
 o 
 
 
 
 o 
 
 
 O 
 
 
 
 
 o 
 
 O 
 
 o 
 
 
 
 
 
 
 
 o 
 
 o 
 
 o 
 
 
 
 
 
 
 
 
 o 
 
 
 o 
 
 
 
 
 
 
 o 
 
 
 <N 
 
 CM 
 
 CM 
 
 
 
 en 
 
 
 <T 
 
 n. 
 
 00 
 
 CM 
 
 CM 
 
 r-~ 
 
 CM 
 
 -* 
 
 S0 
 
 in 
 
 o 
 
 in 
 
 00 
 
 _ 
 
 CM 
 
 o 
 
 00 
 
 CM 
 
 oo 
 
 00 
 
 CO 
 
 ^ 
 
 ■oo 
 
 CM 
 
 CO 
 
 CO 
 
 Os 
 
 sO 
 
 <r 
 
 O 
 
 sD 
 
 _ 
 
 CM 
 
 CO 
 
 OS 
 
 ON 
 
 sO 
 
 CO 
 
 ■* 
 
 CO 
 
 ON 
 
 
 ^ 
 
 co 
 
 i-4 
 
 <r 
 
 on 
 
 in 
 
 OS 
 
 m 
 
 sO 
 
 OS 
 
 ^H 
 
 CO 
 
 !■— 
 
 sO 
 
 CO 
 
 00 
 
 r— 
 
 CO 
 
 m 
 
 CM 
 
 O 
 
 o 
 
 rN 
 
 .— < 
 
 OS 
 
 -a- 
 
 CM 
 
 m 
 
 CM 
 
 IN 
 
 sO 
 
 CM 
 
 m 
 
 in 
 
 OS 
 
 IN 
 
 CM 
 
 o 
 
 IN 
 
 OS 
 
 -3 
 
 CN 
 
 m 
 
 IN 
 
 
 CO 
 
 41 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 1j 
 
 a. 
 
 CM 
 
 UN 
 
 00 
 
 OS 
 
 r^ 
 
 CO 
 
 
 o 
 
 CO 
 
 O 
 
 so 
 
 m 
 
 co 
 
 os 
 
 OS 
 
 sO 
 
 sO 
 
 in 
 
 sO 
 
 CO 
 
 in 
 
 -a- 
 
 CO 
 
 CN| 
 
 CN 
 
 O 
 
 00 
 
 O 
 
 in 
 
 <r 
 
 in 
 
 sO 
 
 •a- 
 
 sO 
 
 -a- 
 
 
 CN 
 
 rN 
 
 m 
 
 CN 
 
 
 
 Pm 
 
 4J 
 
 co 
 
 
 ^1 
 
 ro 
 
 co 
 
 m 
 
 00 
 
 1^ 
 
 CM 
 
 ■* 
 
 in 
 
 oo 
 
 CM 
 
 «* 
 
 m 
 
 r-. 
 
 ^ H 
 
 CO 
 
 lO 
 
 r-. 
 
 CM 
 
 <r 
 
 sO 
 
 00 
 
 CM 
 
 ~a- 
 
 sO 
 
 00 
 
 , " H 
 
 <r 
 
 in 
 
 rN 
 
 CM 
 
 <r 
 
 in 
 
 m 
 
 sO 
 
 oo 
 
 CM 
 
 -a- 
 
 m 
 
 -o 
 
 oo 
 
 i-H 
 CO 
 
 CO 
 
 . 
 
 
 ON 
 
 VO 
 
 O 
 
 OS 
 
 <t 
 
 r-~ 
 
 sO 
 
 r _ l 
 
 00 
 
 CM 
 
 -* 
 
 ,_, 
 
 o 
 
 00 
 
 CM 
 
 o 
 
 o 
 
 O 
 
 in 
 
 Os 
 
 CM 
 
 -a- 
 
 -a- 
 
 IN 
 
 CM 
 
 -a- 
 
 o 
 
 o 
 
 CO 
 
 00 
 
 so 
 
 00 
 
 O 
 
 1 _ 4 
 
 •a- 
 
 o 
 
 co 
 
 CM 
 
 <r 
 
 m 
 
 o 
 
 •H 
 
 Ij 
 
 c 
 
 4J 
 
 OS 
 
 O 
 
 CO 
 
 oo 
 
 00 
 
 O 
 
 so 
 
 oo 
 
 CO 
 
 o 
 
 OS 
 
 CO 
 
 r^ 
 
 r~ 
 
 IN 
 
 OS 
 
 o 
 
 O 
 
 OS 
 
 <r 
 
 OS 
 
 sO 
 
 CO 
 
 SO 
 
 <r 
 
 <r 
 
 o 
 
 o 
 
 ^H 
 
 IN 
 
 CM 
 
 ■ — t 
 
 . — i 
 
 CO 
 
 CM 
 
 o 
 
 -a- 
 
 00 
 
 t— i 
 
 fN 
 
 o 
 
 4-1 
 
 3 
 
 o 
 
 CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ■H 
 
 4J 
 
 ■H 
 
 a 
 
 CO 
 
 VO 
 
 i — i 
 
 CM 
 
 CNl 
 
 r^ 
 
 i — i 
 
 ON 
 
 in 
 
 sO 
 
 OS 
 
 in 
 
 ON 
 
 CM 
 
 IN 
 
 in 
 
 o 
 
 o 
 
 CO 
 
 <r 
 
 <r 
 
 -a- 
 
 -a- 
 
 O 
 
 CO 
 
 m 
 
 -a- 
 
 o 
 
 OS 
 
 ON 
 
 oo 
 
 sO 
 
 in 
 
 CO 
 
 -a- 
 
 o 
 
 o 
 
 o 
 
 o 
 
 -a- 
 
 o 
 
 C 
 
 CO 
 
 4-1 
 
 
 <f 
 
 in 
 
 on 
 
 m 
 
 OS 
 
 sO 
 
 00 
 
 r^ 
 
 sO 
 
 m 
 
 m 
 
 m 
 
 OS 
 
 oo 
 
 OS 
 
 OS 
 
 o 
 
 o 
 
 m 
 
 P0 
 
 CO 
 
 sO 
 
 IN 
 
 CO 
 
 00 
 
 OS 
 
 ON 
 
 o 
 
 UN 
 
 IN 
 
 in 
 
 IN 
 
 OS 
 
 OS 
 
 IN 
 
 o 
 
 sO 
 
 00 
 
 ON 
 
 CO 
 
 o 
 
 M 
 
 ro 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 ^ H 
 
 
 
 
 
 
 
 
 
 
 ""* 
 
 
 
 
 
 
 
 
 ~"* 
 
 
 
 
 
 1-1 
 
 1 
 
 
 
 >s 
 
 oo 
 
 OS 
 
 rN 
 
 in 
 
 r-^ 
 
 CM 
 
 so 
 
 cni 
 
 o 
 
 CO 
 
 00 
 
 -a- 
 
 CM 
 
 CO 
 
 00 
 
 o 
 
 ^ 
 
 ^ 
 
 sO 
 
 m 
 
 IN 
 
 r» 
 
 m 
 
 00 
 
 IN 
 
 m 
 
 00 
 
 o 
 
 CO 
 
 CM 
 
 00 
 
 ON 
 
 -a- 
 
 00 
 
 <r 
 
 ^ 
 
 IN 
 
 <r 
 
 ■a- 
 
 o 
 
 00 
 
 .-1 
 
 T3 
 
 
 4-1 
 
 m 
 
 CM 
 
 CO 
 
 O 
 
 vO 
 
 CO 
 
 O 
 
 Os 
 
 r^ 
 
 00 
 
 ~H 
 
 OO 
 
 sO 
 
 -a- 
 
 m 
 
 sD 
 
 sO 
 
 oo 
 
 OS 
 
 CM 
 
 co 
 
 -a- 
 
 -a- 
 
 . — 1 
 
 CM 
 
 m 
 
 |N 
 
 o 
 
 in 
 
 -3- 
 
 t-H 
 
 CO 
 
 . — i 
 
 -a- 
 
 rN 
 
 oo 
 
 IN 
 
 sO 
 
 OS 
 
 -a- 
 
 CM 
 
 O 
 
 0) 
 
 ><n n 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 4-) 
 
 M 
 
 co o 
 
 
 CN 
 
 O 
 
 CN| 
 
 O 
 
 o 
 
 r— 
 
 r-^ 
 
 OS 
 
 r~ 
 
 CO 
 
 OS 
 
 CM 
 
 CO 
 
 sO 
 
 OS 
 
 CM 
 
 sO 
 
 ON 
 
 m 
 
 IN 
 
 CO 
 
 o 
 
 00 
 
 
 CM 
 
 co 
 
 o 
 
 m 
 
 CM 
 
 in 
 
 OS 
 
 ON 
 
 CO 
 
 o 
 
 CO 
 
 CO 
 
 o 
 
 m 
 
 ro 
 
 in 
 
 c 
 
 CO 
 
 T3 
 
 C D. 
 
 ON 
 
 o 
 
 O 
 
 OS 
 
 o 
 
 o 
 
 ON 
 
 os 
 
 os 
 
 OS 
 
 Os 
 
 OS 
 
 o 
 
 o 
 
 OS 
 
 OS 
 
 o 
 
 o 
 
 oo 
 
 os 
 
 Os 
 
 o 
 
 o 
 
 ON 
 
 o 
 
 o 
 
 ON 
 
 o 
 
 on 
 
 O 
 
 ON 
 
 ON 
 
 ON 
 
 o 
 
 o 
 
 o 
 
 CJN 
 
 o 
 
 o 
 
 O 
 
 O 
 
 o 
 
 ■o 
 
 
 cu 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 o 
 
 
 
 T} 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 u 
 
 4J 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 3 
 
 C 
 
 Vj 
 
 M 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 O 
 
 •U 
 
 0) 
 
 (1) 
 
 4J 4-1 
 
 CM 
 
 -* 
 
 00 
 
 r^ 
 
 r^ 
 
 co 
 
 CO 
 
 in 
 
 o 
 
 00 
 
 OS 
 
 CO 
 
 <r 
 
 o 
 
 OS 
 
 IN 
 
 o 
 
 IN 
 
 CM 
 
 sO 
 
 sO 
 
 sO 
 
 . — i 
 
 <r 
 
 . — 1 
 
 oo 
 
 00 
 
 o 
 
 in 
 
 sO 
 
 CO 
 
 in 
 
 ON 
 
 CM 
 
 o 
 
 in 
 
 IN 
 
 IN 
 
 CM 
 
 CO 
 
 sD 
 
 ro 
 
 4J 
 
 JJ 
 
 CO O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 c 
 
 M-l 
 
 o> a 
 
 00 
 
 CO 
 
 m 
 
 OS 
 
 <r 
 
 -a- 
 
 sO 
 
 CO 
 
 , — 1 
 
 oo 
 
 o 
 
 in 
 
 CO 
 
 m 
 
 CO 
 
 IN 
 
 o 
 
 rN 
 
 IN 
 
 . — i 
 
 I— 1 
 
 oo 
 
 CM 
 
 -a- 
 
 CO 
 
 -a- 
 
 m 
 
 sO 
 
 00 
 
 m 
 
 ON 
 
 CO 
 
 o 
 
 CO 
 
 o 
 
 in 
 
 o 
 
 1 — 1 
 
 sO 
 
 CO 
 
 CO 
 
 o 
 
 o 
 
 CO 
 
 4-1 
 
 
 CM 
 
 CNl 
 
 
 CM 
 
 
 CM 
 
 CNl 
 
 CM 
 
 
 CM 
 
 
 CNl 
 
 CM 
 
 CO 
 
 CM 
 
 CO 
 
 CM 
 
 
 
 
 ■-H 
 
 CM 
 
 CNl 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 
 CM 
 
 
 CN 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 S3 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 >, 
 
 
 rN 
 
 CN 
 
 -J" 
 
 so 
 
 CO 
 
 Os 
 
 o 
 
 m 
 
 CNl 
 
 ^ 
 
 oo 
 
 m 
 
 in 
 
 <f 
 
 ON 
 
 ■a- 
 
 . 
 
 oo 
 
 . 
 
 00 
 
 CO 
 
 IN 
 
 CO 
 
 CO 
 
 O 
 
 CO 
 
 00 
 
 o 
 
 ^ H 
 
 ON 
 
 00 
 
 CM 
 
 i _ H 
 
 ^_, 
 
 o 
 
 sO 
 
 -3- 
 
 ^ 
 
 -3- 
 
 rH 
 
 i _ H 
 
 
 
 4J 
 
 
 CM 
 
 vO 
 
 <r 
 
 i 
 
 o 
 
 . — 1 
 
 sO 
 
 r^ 
 
 r~ 
 
 SO 
 
 o 
 
 —^ 
 
 r^ 
 
 r- 
 
 oo 
 
 CO 
 
 IN 
 
 sO 
 
 oo 
 
 sO 
 
 CM 
 
 CO 
 
 t-H 
 
 o 
 
 sO 
 
 in 
 
 IN 
 
 00 
 
 sD 
 
 m 
 
 t-H 
 
 CO 
 
 ON 
 
 CO 
 
 CO 
 
 co 
 
 in 
 
 CO 
 
 ON 
 
 IN 
 
 ON 
 
 
 >s iH 
 
 CU 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 H 
 
 CO 
 
 CJ 
 
 sO 
 
 n- 
 
 -a- 
 
 SO 
 
 in 
 
 CM 
 
 CM 
 
 
 CM 
 
 OS 
 
 ON 
 
 -a- 
 
 in 
 
 -a- 
 
 IN 
 
 o 
 
 o 
 
 CO 
 
 sO 
 
 o 
 
 
 -a- 
 
 sO 
 
 CO 
 
 UN 
 
 CO 
 
 -3- 
 
 CO 
 
 OS 
 
 CM 
 
 
 -3- 
 
 o 
 
 m 
 
 in 
 
 <■ 
 
 ON 
 
 in 
 
 sO 
 
 IN 
 
 IN 
 
 
 o 
 
 c 
 <p 
 -o 
 
 a. 
 
 OO 
 
 On 
 
 OS 
 
 oo 
 
 Os 
 
 OS 
 
 0> 
 
 os 
 
 ON 
 
 CO 
 
 00 
 
 ON 
 
 os 
 
 Os 
 
 00 
 
 OS 
 
 ON 
 
 Ol 
 
 00 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 OS 
 
 OS 
 
 ON 
 
 00 
 
 Os 
 
 00 
 
 ON 
 
 OS 
 
 OS 
 
 OS 
 
 ON 
 
 ON 
 
 ON 
 
 00 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 
 -o 
 
 0) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 M 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 1-1 
 
 s 
 
 •H 
 
 UO 
 
 o 
 
 o 
 
 in 
 
 o 
 
 O 
 
 m 
 
 o 
 
 in 
 
 o 
 
 in 
 
 o 
 
 in 
 
 o 
 
 m 
 
 O 
 
 in 
 
 o 
 
 m 
 
 o 
 
 m 
 
 o 
 
 in 
 
 o 
 
 in 
 
 o 
 
 m 
 
 o 
 
 m 
 
 o 
 
 m 
 
 o 
 
 m 
 
 m 
 
 in 
 
 o 
 
 in 
 
 o 
 
 in 
 
 m 
 
 o 
 
 
 ^4 
 
 CO 
 
 CO 
 
 CN 
 
 m 
 
 m 
 
 r^ 
 
 o 
 
 O 
 
 CM 
 
 m 
 
 r-» 
 
 o 
 
 CM 
 
 m 
 
 IN 
 
 o 
 
 CM 
 
 in 
 
 IN 
 
 o 
 
 CM 
 
 m 
 
 IN 
 
 o 
 
 CM 
 
 m 
 
 IN 
 
 o 
 
 CM 
 
 UO 
 
 IN 
 
 o 
 
 CM 
 
 m 
 
 r- 
 
 IN 
 
 IN 
 
 o 
 
 CM 
 
 in 
 
 IN 
 
 IN 
 
 o 
 
 
 D. 
 
 en 
 
 a. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ~H 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a. 
 
 0) 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 <d 
 
 l-l 
 
 a. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 >s 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 <4-l 
 
 4-1 
 
 
 <t 
 
 -* 
 
 <r 
 
 <r 
 
 <f 
 
 ~» 
 
 <" 
 
 <f 
 
 -cr 
 
 -3- 
 
 -a- 
 
 -a- 
 
 <r 
 
 -a- 
 
 <r 
 
 -a- 
 
 -a- 
 
 -a- 
 
 <r 
 
 -a- 
 
 <r 
 
 -a- 
 
 -a- 
 
 Ni- 
 
 <r 
 
 <r 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 
 •H 
 
 •H 
 
 
 00 
 
 00 
 
 00 
 
 00 
 
 00 
 
 co 
 
 oo 
 
 00 
 
 00 
 
 00 
 
 oo 
 
 00 
 
 oo 
 
 oo 
 
 oo 
 
 00 
 
 00 
 
 00 
 
 00 
 
 00 
 
 CO 
 
 00 
 
 oo 
 
 ce 
 
 00 
 
 oo 
 
 oo 
 
 00 
 
 CO 
 
 00 
 
 00 
 
 00 
 
 CO 
 
 00 
 
 co 
 
 oo 
 
 oo 
 
 00 
 
 CO 
 
 00 
 
 00 
 
 
 u 
 
 > 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 CO 
 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CNl 
 
 CM 
 
 CM 
 
 CNl 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 
 a. 
 
 U 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 60 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 a> 
 
 ^ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 rH 
 
 u 
 
 4J 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 to 
 
 3 
 
 c 
 
 
 o 
 
 O 
 
 O 
 
 O 
 
 o 
 
 O 
 
 O 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 •H 
 
 4J 
 
 01 
 
 4-1 
 
 CM 
 
 <r 
 
 CM 
 
 r^ 
 
 CO 
 
 00 
 
 co 
 
 CM 
 
 O 
 
 CO 
 
 ON 
 
 CM 
 
 ON 
 
 -a- 
 
 o 
 
 m 
 
 <r 
 
 IN 
 
 00 
 
 sO 
 
 sO 
 
 o 
 
 -■H 
 
 IN 
 
 •—* 
 
 —4 
 
 o 
 
 00 
 
 CO 
 
 sO 
 
 CO 
 
 in 
 
 IN 
 
 CO 
 
 -a- 
 
 sO 
 
 r- 
 
 ^H 
 
 og 
 
 CM 
 
 o 
 
 •U 
 
 CO 
 
 4J 
 
 cj 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 •r4 
 
 c 
 
 a. 
 
 oo 
 
 CO 
 
 00 
 
 OS 
 
 00 
 
 f— 1 
 
 SO 
 
 sO 
 
 i — i 
 
 OS 
 
 O 
 
 r^ 
 
 OS 
 
 m 
 
 m 
 
 CM 
 
 m 
 
 CO 
 
 ON 
 
 i — I 
 
 . — i 
 
 o 
 
 CM 
 
 m 
 
 m 
 
 o 
 
 sO 
 
 -a- 
 
 o 
 
 in 
 
 ON 
 
 CO 
 
 I— 1 
 
 00 
 
 CM 
 
 CO 
 
 O 
 
 <r 
 
 sO 
 
 <r 
 
 Os 
 
 d 
 
 o 
 
 o 
 
 
 1 — 1 
 
 CN 
 
 CM 
 
 i — i 
 
 CNl 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 »— i 
 
 CM 
 
 ■ — i 
 
 CM 
 
 CM 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 . — I 
 
 . — 1 
 
 »—l 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CO 
 
 CO 
 
 CO 
 
 CM 
 
 CM 
 
 -H 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CN 
 
 CN 
 
 CN 
 
 M 
 
 s 
 
 CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 .-< 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CO 
 
 
 o 
 
 m 
 
 nT 
 
 r~- 
 
 CO 
 
 so 
 
 CO 
 
 in 
 
 CNl 
 
 CM 
 
 00 
 
 O 
 
 CO 
 
 CM 
 
 —i 
 
 IN 
 
 co 
 
 m 
 
 CO 
 
 CM 
 
 m 
 
 CO 
 
 OS 
 
 •a- 
 
 m 
 
 -a- 
 
 sD 
 
 -3- 
 
 CO 
 
 --H 
 
 oo 
 
 IN 
 
 co 
 
 CO 
 
 -3- 
 
 -3 
 
 CM 
 
 ON 
 
 <r 
 
 CO 
 
 00 
 
 <r 
 
 
 1-1 
 
 T3 
 
 •H 
 
 m 
 
 in 
 
 cn. 
 
 m 
 
 sD 
 
 CM 
 
 i— i 
 
 CO 
 
 i — i 
 
 r~ 
 
 OS 
 
 CO 
 
 m 
 
 IN 
 
 — i 
 
 SO 
 
 m 
 
 OS 
 
 -3- 
 
 m 
 
 <r 
 
 IN 
 
 -a- 
 
 o 
 
 m 
 
 Os 
 
 00 
 
 co 
 
 IN 
 
 o 
 
 CO 
 
 rN 
 
 <r 
 
 m 
 
 m 
 
 IN 
 
 SO 
 
 <r 
 
 CM 
 
 o 
 
 o 
 
 
 4-1 
 
 ■H 
 
 4-1 
 
 O 
 
 00 
 
 00 
 
 O 
 
 CO 
 
 OS 
 
 ON 
 
 ON 
 
 ON 
 
 os 
 
 ON 
 
 00 
 
 00 
 
 oo 
 
 o 
 
 OS 
 
 OS 
 
 oo 
 
 O 
 
 ON 
 
 OS 
 
 00 
 
 00 
 
 on 
 
 00 
 
 00 
 
 O 
 
 CO 
 
 ON 
 
 ON 
 
 OS 
 
 CO 
 
 os 
 
 00 
 
 00 
 
 00 
 
 ON 
 
 00 
 
 00 
 
 00 
 
 00 
 
 
 ■H 
 
 O 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 C 
 
 M 
 
 > 
 
 M 
 
 ^ 
 
 
 
 ~* 
 
 
 
 
 
 
 
 
 
 
 
 ^ 
 
 
 
 
 
 
 
 
 
 
 
 
 " 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ^H 
 
 1 
 
 e 
 
 
 00 
 
 in 
 
 ON 
 
 <t 
 
 sO 
 
 
 sO 
 
 CO 
 
 o 
 
 <■ 
 
 NT 
 
 r-» 
 
 in 
 
 -a- 
 
 o 
 
 CO 
 
 sO 
 
 CO 
 
 m 
 
 00 
 
 CO 
 
 00 
 
 CO 
 
 CM 
 
 sO 
 
 oo 
 
 sO 
 
 CM 
 
 CN 
 
 SO 
 
 CM 
 
 •—t 
 
 CO 
 
 on 
 
 <f 
 
 
 CO 
 
 00 
 
 m 
 
 m 
 
 o 
 
 CO 
 
 iH 
 
 o 
 
 
 in 
 
 in 
 
 U"l 
 
 SO 
 
 ITI 
 
 co 
 
 -* 
 
 sO 
 
 r-- 
 
 oo 
 
 -* 
 
 m 
 
 SO 
 
 oo 
 
 OS 
 
 OS 
 
 ^H 
 
 CM 
 
 CO 
 
 •a- 
 
 sO 
 
 oo 
 
 -a- 
 
 in 
 
 UN 
 
 oo 
 
 ON 
 
 SO 
 
 sO 
 
 ON 
 
 •a- 
 
 m 
 
 CO 
 
 IN 
 
 m 
 
 OS 
 
 -a- 
 
 <r 
 
 00 
 
 m 
 
 IN 
 
 •H 
 
 O 
 
 •H 
 
 c 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 O 
 
 o 
 
 O 
 
 o 
 
 O 
 
 o 
 
 . 1 
 
 •— 1 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 O 
 
 o 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 44 
 
 en 
 
 4-1 
 
 •H 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 •H 
 
 c 
 
 CO 
 
 
 o 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 t 
 
 1 
 
 1 
 
 i 
 
 1 
 
 i 
 
 1 
 
 1 
 
 1 
 
 1 
 
 i 
 
 i 
 
 1 
 
 1 
 
 ■ 
 
 1 
 
 i 
 
 1 
 
 1 
 
 1 
 
 1 
 
 1 
 
 i 
 
 i 
 
 1 
 
 1 
 
 I 
 
 1 
 
 i 
 
 i 
 
 1 
 
 i 
 
 1 
 
 C 
 
 o 
 
 T3 
 
 
 1 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 H 
 
 CJ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 0) 
 
 cx 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 oo 
 
 OS 
 
 o 
 
 _l 
 
 CM 
 
 CO 
 
 <r 
 
 in 
 
 sO 
 
 r^ 
 
 00 
 
 OS 
 
 o 
 
 ^ 
 
 CM 
 
 CO 
 
 -a- 
 
 m 
 
 sO 
 
 IN 
 
 CO 
 
 ON 
 
 o 
 
 _, 
 
 CM 
 
 CO 
 
 <r 
 
 in 
 
 sO 
 
 IN 
 
 oo 
 
 ON 
 
 o 
 
 — < 
 
 CM 
 
 CO 
 
 -a- 
 
 m 
 
 sO 
 
 IN 
 
 00 
 
 
 
 e 
 
 
 so 
 
 sO 
 
 r^- 
 
 r^ 
 
 r-~ 
 
 p^ 
 
 p-^ 
 
 r^ 
 
 p~ 
 
 i — 
 
 p^ 
 
 r^ 
 
 00 
 
 00 
 
 00 
 
 CO 
 
 00 
 
 oo 
 
 oo 
 
 00 
 
 CO 
 
 00 
 
 OS 
 
 OS 
 
 OS 
 
 ON 
 
 OS 
 
 ON 
 
 ON 
 
 ON 
 
 OS 
 
 ON 
 
 c 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 
 
 a) 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 ^4 
 
23 
 
 o 
 
 00 
 
 m 
 
 o 
 o 
 
 CJN 
 
 o 
 
 nO 
 CM 
 st 
 
 ON 
 
 p^ 
 
 _ 
 
 NO 
 
 co 
 
 co 
 
 pi 
 
 r^ 
 
 ON 
 
 ON 
 
 1 
 
 p^ 
 
 in 
 
 in 
 
 ao 
 
 o 
 
 O 
 
 m 
 
 CM 
 
 NO 
 
 ON 
 
 CM 
 
 r~ 
 
 ON 
 
 ^ H 
 
 m 
 
 co 
 
 CO 
 
 in 
 
 o 
 
 CO 
 
 O 
 
 oo 
 
 ao 
 
 CM 
 
 , 
 
 «4t 
 
 co 
 
 co 
 
 CO 
 
 NO 
 
 ^o 
 
 oo r-. 
 
 U"N 
 
 cs 
 
 DO 
 
 □ 
 
 -j 
 
 m 
 
 BO 
 
 c 
 
 p^ 
 
 sr 
 
 in 
 
 — * 
 
 — 
 
 cm 
 
 CO 
 
 r> 
 
 CO 
 
 00 
 
 CM 
 
 ""< 
 
 CM 
 
 00 
 
 O 
 
 CO 
 
 ON 
 
 oo 
 
 00 
 
 in 
 
 O 
 
 st 
 
 r- 
 
 o 
 
 O 
 
 ON 
 
 co 
 
 CO 
 
 CM 
 
 m 
 
 nC 
 
 o 
 
 in 
 
 NO 
 
 co -3 
 
 CM 
 
 _ 
 
 On 
 
 U-N 
 
 co 
 
 p** 
 
 in 
 
 X 
 
 IT 
 
 CM 
 
 -3 
 
 _l 
 
 _ 
 
 o 
 
 CM 
 
 m 
 
 r~ 
 
 XT 
 
 NO 
 
 on 
 
 r~- 
 
 ON 
 
 go 
 
 m 
 
 \o 
 
 00 
 
 co 
 
 CM 
 
 m 
 
 _, 
 
 O 
 
 co 
 
 ON 
 
 o 
 
 o 
 
 -3 
 
 ON 
 
 CM 
 
 o 
 
 CO 
 
 NO 
 
 CO 
 
 00 co 
 
 O 
 
 a 
 
 ON 
 
 
 o 
 
 
 
 
 
 CM 
 
 
 CM. 
 
 
 
 
 CM 
 
 
 
 
 
 CM 
 
 
 
 CM 
 
 
 
 O 
 
 
 
 CM 
 
 CM 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 
 CM 
 
 CM 
 
 CM 
 
 
 
 
 ■3 
 
 go 
 
 ON 
 
 On 
 
 rsi 
 
 -3 
 
 O 
 
 ao 
 
 ON 
 
 r^ 
 
 
 <- 
 
 CO 
 
 r*. 
 
 p^ 
 
 NO 
 
 o 
 
 
 «3 
 
 <r 
 
 NO 
 
 CM 
 
 NO 
 
 o 
 
 00 
 
 o 
 
 cm 
 
 ^O 
 
 p~. 
 
 CM 
 
 O 
 
 SO 
 
 o 
 
 st 
 
 -3 
 
 
 
 r^ 
 
 ST 
 
 st 
 
 st 
 
 NO 
 
 NO ON 
 
 -3 
 
 r-. 
 
 c 
 
 r-* 
 
 co 
 
 ~3 
 
 in 
 
 — 
 
 -3- 
 
 NO 
 
 CM 
 
 -» 
 
 X 
 
 in 
 
 CM 
 
 ON 
 
 o» 
 
 o 
 
 <f 
 
 co 
 
 r-* 
 
 ON 
 
 a 
 
 CO 
 
 ON 
 
 NO 
 
 nO 
 
 ON 
 
 CM 
 
 in 
 
 — ' 
 
 CO 
 
 o 
 
 •"• 
 
 oo 
 
 CMJ 
 
 ON 
 
 m 
 
 CO 
 
 O 
 
 00 
 
 O 
 
 r-~ cm 
 
 cm 
 
 p*l 
 
 -3 
 
 _ 
 
 ON 
 
 CM 
 
 NO 
 
 _ 
 
 _ 
 
 co 
 
 ON 
 
 CM 
 
 -3 
 
 CO 
 
 _, 
 
 CM 
 
 _, 
 
 cm 
 
 o 
 
 Q 
 
 co 
 
 _, 
 
 co 
 
 nO 
 
 CO 
 
 NO 
 
 ON 
 
 O 
 
 ^ 
 
 sr 
 
 ON 
 
 co 
 
 r-» 
 
 oo 
 
 ON 
 
 ON 
 
 NO 
 
 or 
 
 O 
 
 on 
 
 ON 
 
 CO 
 
 in on 
 
 N 
 
 "* 
 
 NO 
 
 co 
 
 " 
 
 CM. 
 
 CO 
 
 -3 
 
 NO 
 
 r-^ 
 
 Pn! 
 
 cm 
 
 -3 
 
 NO 
 
 00 
 
 CM 
 
 >3 
 
 ie 
 
 vo 
 
 P"* 
 
 ON 
 
 CM 
 
 CO 
 
 in 
 
 r^ 
 
 CM 
 
 CO 
 
 MD 
 
 00 
 
 CM 
 
 CO 
 
 in 
 
 CO 
 
 r-~ 
 
 ^ H 
 
 CM 
 
 SI 
 
 r^ 
 
 r~ 
 
 oo 
 
 ■"* 
 
 CO 
 
 in no 
 
 _ 
 
 ON 
 
 ON 
 
 ~3 
 
 
 
 -3 
 
 p^ 
 
 CM 
 
 p*. 
 
 l — 
 
 00 
 
 X 
 
 go 
 
 X 
 
 , 
 
 O 
 
 O 
 
 o 
 
 t 
 
 CO 
 
 o 
 
 NO 
 
 ^r 
 
 O 
 
 O 
 
 ON 
 
 r> 
 
 CO 
 
 <r 
 
 O 
 
 h- 
 
 O 
 
 O 
 
 <r 
 
 O 
 
 O 
 
 O 
 
 sr 
 
 CO 
 
 oo 
 
 o 
 
 o 
 
 r- O 
 
 O 
 
 >C 
 
 X 
 
 ON 
 
 o 
 
 NO 
 
 CM 
 
 DO 
 
 r** 
 
 -3 
 
 1 — 
 
 — 
 
 X 
 
 cri 
 
 NO 
 
 oo 
 
 NO 
 
 o 
 
 iC 
 
 1 — 
 
 O 
 
 st 
 
 CM 
 
 o 
 
 o 
 
 o 
 
 1-1 
 
 <r 
 
 co 
 
 o 
 
 m 
 
 CM 
 
 O 
 
 ON 
 
 o 
 
 in 
 
 o 
 
 m 
 
 o 
 
 NO 
 
 o 
 
 o 
 
 NO O 
 
 in 
 
 sC 
 
 r^ 
 
 P*~ 
 
 o 
 
 nO 
 
 X 
 
 in 
 
 in 
 
 00 
 
 CM 
 
 DO 
 
 i — . 
 
 m 
 
 NO 
 
 ON 
 
 CM 
 
 o 
 
 CO 
 
 Ol 
 
 O 
 
 ON 
 
 <r 
 
 o 
 
 o 
 
 <3- 
 
 O 
 
 r*s 
 
 ao 
 
 o 
 
 c^ 
 
 H 
 
 o 
 
 r^ 
 
 o 
 
 _! 
 
 r^ 
 
 CM 
 
 m 
 
 ON 
 
 o 
 
 O 
 
 r- O 
 
 in 
 
 ^ 
 
 rN 
 
 00 
 
 o 
 
 X 
 
 ON 
 
 X 
 
 p-~ 
 
 oo 
 
 NO 
 
 ON 
 
 i — 
 
 p^ 
 
 NO 
 
 ON 
 
 ON 
 
 o 
 
 00 
 
 XI 
 
 o 
 
 ao 
 
 ON 
 
 o 
 
 o 
 
 p^ 
 
 in 
 
 NO 
 
 00 
 
 o 
 
 ON 
 
 00 
 
 o 
 
 ON 
 
 o 
 
 ON 
 
 o 
 
 ON 
 
 CO 
 
 00 
 
 o 
 
 Q 
 
 ON O 
 
 •3 
 
 -. 
 
 
 -3- 
 
 CO 
 
 CS 
 
 
 - 
 
 CO 
 
 ON 
 
 o 
 
 NO 
 
 ON 
 
 m 
 
 CO 
 
 On 
 
 CO 
 
 _ 
 
 r*» 
 
 ON 
 
 1 — 
 
 oo 
 
 oo 
 
 o 
 
 ON 
 
 00 
 
 •* 
 
 •* 
 
 NO 
 
 ON 
 
 CO 
 
 <r 
 
 NO 
 
 o 
 
 ON 
 
 
 ON 
 
 CM 
 
 CTN 
 
 
 on 
 
 r» 
 
 O O 
 
 r*» 
 
 «n 
 
 ON 
 
 — ' 
 
 cn 
 
 ON 
 
 CM 
 
 ~3 
 
 on 
 
 CO 
 
 CO 
 
 CM 
 
 ~ " 
 
 m 
 
 ON 
 
 in 
 
 ON 
 
 NO 
 
 CO 
 
 <r 
 
 ON 
 
 """ 
 
 m 
 
 ^r 
 
 m 
 
 CM 
 
 O 
 
 *"• 
 
 oo 
 
 ON 
 
 r^ 
 
 XI 
 
 NO 
 
 ON 
 
 ON 
 
 ~ ' 
 
 r-* 
 
 ON 
 
 CO 
 
 oo 
 
 oo 
 
 CO 
 
 m -3 
 
 r^ ao o c* o* -^ 
 
 o o o o 
 
 — (■»>. ^ C 
 
 o o o o o o 
 
 O n fO O (N ^ 
 
 — m 
 
 CM —• 
 
 a 
 
 00 
 CM 
 
 CO 
 
 co 
 
 in 
 
 CM 
 
 CO 
 
 -3 
 
 CO 
 CM 
 
 CO 
 CM 
 
 NO 
 
 CM 
 CO 
 
 CO 
 CM 
 
 B" 
 
 CM 
 
 00 
 CM 
 
 m 
 
 ~3 
 CM 
 
 CM 
 
 CJ 
 
 CM 
 
 00 
 CM 
 
 m 
 CM 
 
 NO 
 
 CM 
 
 ON 
 CM 
 
 CM 
 
 P^ 
 
 CM 
 
 m 
 
 CM 
 
 -3 
 CM 
 
 CM 
 
 ON 
 CM 
 
 NO 
 
 CM 
 
 r-. 
 CM 
 
 O -3 
 CO CM 
 
 CM 
 
 CM CO 
 CM CM 
 
 CO 
 CM 
 
 CO 
 
 co 
 
 O 
 
 CO 
 
 CO 
 
 ^^ CO 
 
 !■*» in 
 
 CO 
 
 o> 
 ao 
 
 CM 
 
 m 
 
 X 
 X 
 
 X 
 
 NO 
 
 CO 
 
 00 
 
 m 
 
 CM 
 
 CM 
 
 in 
 
 o 
 
 c 
 
 0" 
 
 O 
 
 in 
 
 m 
 
 co 
 
 NO 
 
 in 
 
 X' 
 nO 
 
 CM 
 
 CO 
 
 ON 
 
 CO 
 
 CO 
 
 O 
 
 NO 
 
 00 
 CM 
 
 CM 
 CM 
 
 NO 
 
 O 
 
 CO 
 
 in 
 
 o 
 
 CM 
 
 X) 
 X 
 
 CM 
 
 co 
 
 NO 
 
 ON 
 
 CM CO 
 ON CO 
 
 o 
 to 
 
 00 00 
 P^ NO 
 
 NO 
 
 -3 
 
 p^ 
 
 X> 
 
 CJ 
 
 ON 
 
 CM 
 
 OC 00 ^ oo 
 
 \r\ o it* O 
 eg m r^ O 
 
 u. iri o O ^ o 
 N N ia in fN. o 
 
 in iAO m O 
 in N in n o 
 
 in o ia in o o 
 
 (N lAN N OO 
 
 m o m o 
 cm in r- o 
 
 c~ 
 
 co 
 
 -- 
 
 CO 
 
 CO 
 
 co 
 
 CO 
 
 CO 
 
 CO 
 
 CN 
 
 ~3 ~3 
 
 n9J 
 
 -3 
 
 sT 
 
 <T 
 
 -r 
 
 -3 
 
 -3 
 
 -3 
 
 -3 
 
 -3 
 
 <t 
 
 -3 
 
 -3 
 
 -3 
 
 <* 
 
 <r 
 
 ■3 
 
 -3 
 
 •3 
 
 •* 
 
 s» 
 
 -3 
 
 CO CO 
 
 CO 
 
 CO CO 
 
 CO 
 
 CO CO 
 
 CO CO 
 
 X 
 
 X 
 
 -' 
 
 00 
 
 00 
 
 DC 
 
 OC 
 
 X 
 
 X 
 
 CO 
 
 an on 
 
 X 
 
 go 
 
 on 
 
 an 
 
 00 
 
 X 
 
 Tj 
 
 go 
 
 00 
 
 on 
 
 00 
 
 rfj 
 
 00 
 
 00 
 
 CO' 
 
 CO 
 
 00 
 
 ao 
 
 x. 
 
 CO 
 
 CC- 
 
 00 
 
 oo oo 
 
 CO 
 
 oo on 
 
 on 
 
 00 00 
 
 oo oo 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 -. 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 '1 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CJ 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CJ 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM CM 
 
 CM CM 
 
 - 
 
 o 
 
 — 
 
 o 
 
 o 
 
 o 
 
 — 
 
 o 
 
 o 
 
 o 
 
 O 
 
 O 
 
 c 
 
 a 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o o 
 
 O 
 
 O 
 
 O 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o o 
 
 o 
 
 o o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 O 
 
 "" " 
 
 X 
 
 X 
 
 o 
 
 CM 
 
 B 
 
 - 
 
 r^ 
 
 X. 
 
 CM 
 
 oo 
 
 -r 
 
 c 
 
 r~- 
 
 m 
 
 NO 
 
 -* 
 
 PN» 
 
 NO 
 
 CM 
 
 00 
 
 CO CM 
 
 in 
 
 -3 
 
 O 
 
 ON 
 
 00 
 
 o 
 
 r^ 
 
 P-. 
 
 in 
 
 ON 
 
 ON 
 
 O NO 
 
 CO 
 
 CM CO 
 
 NO 
 
 rt 
 
 00 
 
 r* 
 
 •"' 
 
 _ 
 
 ~c 
 
 
 o 
 
 O 
 
 
 m 
 
 nO 
 
 CO 
 
 <T 
 
 p^ 
 
 CM 
 
 NO 
 
 ■3 
 
 _ 
 
 co 
 
 CM 
 
 CM 
 
 r^ 
 
 CO 
 
 ON 
 
 00 ON 
 
 9 
 
 NO 
 
 _ 
 
 p^ 
 
 _^ 
 
 ON 
 
 ON 
 
 r> 
 
 T 
 
 in 
 
 ON 
 
 -3 -3 
 
 m 
 
 m ~3 
 
 •3 
 
 _, 
 
 CM 
 
 c 1 
 
 _ 
 
 CM 
 
 "" 
 
 " 
 
 CO 
 
 •* 
 
 
 CO 
 
 
 CM 
 
 CM 
 
 
 CO 
 
 CM 
 
 'J 
 
 CM 
 
 CM 
 
 CO 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CO 
 
 CM 
 
 •"* 
 
 CM 
 
 CM 
 
 CM 
 
 cl 
 
 CM 
 
 CO 
 
 CM 
 
 CO CM 
 
 CO 
 
 CM CM 
 
 CM 
 
 -3 
 
 •* 
 
 to 
 
 -.f 
 
 .- 
 
 X. 
 
 ■£> 
 
 m 
 
 M3 
 
 
 on 
 
 p* 
 
 ON 
 
 -3 
 
 in 
 
 ^ 
 
 O 
 
 CO 
 
 P~ 
 
 -3- 
 
 IT 
 
 -3 
 
 h* 
 
 en 
 
 CO 
 
 00 O 
 
 o 
 
 -3 
 
 in 
 
 CO 
 
 x. 
 
 CM 
 
 -3 
 
 a\ 
 
 CM 
 
 r^ 
 
 P-~ 
 
 CM —i 
 
 St 
 
 — 1 ON 
 
 nO 
 
 CM 
 
 -r 
 
 r s 
 
 PN* 
 
 X 
 
 KM 
 
 .' 
 
 nO 
 
 -3 
 
 K 
 
 *M 
 
 nO 
 
 00 
 
 r*. 
 
 O 
 
 co 
 
 r^ 
 
 CM 
 
 — - 
 
 ^H 
 
 00 
 
 m 
 
 CO 
 
 ON 
 
 CO 
 
 ON 00 
 
 00 
 
 nO 
 
 o 
 
 H 
 
 — 1 
 
 CO 
 
 CM 
 
 o 
 
 CI 
 
 P~ 
 
 NO 
 
 CM NO 
 
 at 
 
 r~ o 
 
 f^- 
 
 ON 
 
 ro 
 
 St 
 
 ^T 
 
 o 
 
 o 
 
 o> 
 
 o< 
 
 ~ 
 
 BC 
 
 B 
 
 00 
 
 X 
 
 p-. 
 
 ao 
 
 ON 
 
 ■y 
 
 ON 
 
 ON 
 
 oo 
 
 a 
 
 X. 
 
 ON 
 
 X 
 
 p^ 
 
 00 00 
 
 r~ 
 
 On 
 
 00 
 
 O 
 
 en 
 
 ON 
 
 00 
 
 00 
 
 O 
 
 00 
 
 oo 
 
 on r^ 
 
 CO 
 
 p~ oo 
 
 P^ 
 
 ON 
 
 o 
 
 CI. 
 
 o 
 
 ■"• 
 
 — 
 
 
 
 — 
 
 
 — ■ 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 — ■ 
 
 
 
 
 
 "- , 
 
 
 
 
 
 
 
 
 ■"■ 
 
 
 -• 
 
 c <r oc o 
 
 ' ■& CM 
 
 COO — 
 
 CO "^ p^ On ^3 MD 
 
 — in CM -3 -o o 
 
 — o — o o — 
 
 O On -3 -3 m 
 
 st in p- p^ no 
 O O O O O 
 
 co r^. on in cm —i 
 ~3 on in \0 '-' nO 
 o o o o — o 
 
 on — < in o 
 co p^ in cm 
 O O O — 
 
 on co p-^. in 
 
 St 00 P— CM 
 
 o o o — 
 
 p^ st no on on 
 ~t ON cm ao CM 
 
 O O —i o — 
 
 cm p~ in oo no o 
 no cm no in st no 
 o o o o o o 
 
 no -3 in st 
 -3 CO — i O 
 
 H.HHN 
 
 till 
 
 cr C — "i 
 
 •J ^ C p» 00 
 ^J - i -I N CM 
 
 ON O — • CM CO 
 — ' I N (N| N 
 CM CM CM CM CM 
 
 -3 in mo p* oo on 
 
 CM CM CM CM CM CM 
 CM CM CM CM CM CM 
 
 O — ■ CM CO 
 CO CO CO CO 
 CM CM CM CM 
 
 ~3 in \D r^ 
 
 CO CO CO CO 
 CM CM CM CM 
 
 on on o — < cm 
 
 CO CO -3 -3 -3 
 CM CM CM CM CM 
 
 co -t m no r~ on 
 
 >» -3 -3 >» st -3 
 CM CM CM CM CM CM 
 
 ON O — < CM 
 
 st in in m 
 
 CM CM CM CM 
 
24 
 
 0) 
 
 3 
 
 d 
 
 c 
 o 
 o 
 I 
 
 >N 
 
 14 
 o 
 
 4-1 
 
 « 
 
 o 
 .o 
 
 
 c 
 o 
 1-1 1-1 
 
 CD CD 
 CD P. 
 
 O 
 
 
 -3 
 o 
 
 NO 
 
 ON 
 O 
 
 o 
 
 ON 
 
 oo 
 
 NO 
 NO 
 
 CM 
 
 
 oo 
 
 -3 
 -3 
 
 -3 
 fv 
 
 -3 
 
 NO 
 
 in 
 
 CO 
 
 Internal 
 
 friction 
 
 angle , 
 
 deg 
 
 in 
 in 
 
 NO 
 CO 
 
 00 
 
 m 
 
 -3 
 CO 
 
 ON 
 NO 
 
 rv 
 
 CO 
 
 ON 
 
 rv 
 
 ON 
 CO 
 
 
 m 
 
 CO 
 
 o 
 
 -3 
 
 ON 
 r- 
 
 oo 
 
 CO 
 
 in 
 -3 
 
 -3 
 
 in 
 
 in 
 
 CO 
 
 Fellenius 
 
 factor of 
 
 safety 
 
 > 1.775 
 
 i 1.028 
 
 > 2.159 
 
 r- 
 
 CO 
 
 in 
 
 *—* 
 
 
 > 1.642 
 
 > 1.736 
 
 > 1.395 
 
 > 1.006 
 
 Wet 
 
 density, 
 
 pcf 
 
 CM vO ON O O O 
 
 «o -3 -3 -3 co -3 
 
 oicocn ho o 
 
 HrfN NHCM 
 
 118.89 
 111.92 
 121.95 
 118.50 
 
 122.95 
 123.18 
 116.91 
 119.78 
 
 99.72 
 103.75 
 110.84 
 104.83 
 
 -3 O 
 O CM 
 
 CO -3 
 
 •— i *— i 
 
 ^H f— 1 
 
 111.80 
 105.53 
 105.73 
 115.56 
 
 112.62 
 113.51 
 118.58 
 119.86 
 120.32 
 
 95.78 
 
 88.96 
 
 111.76 
 
 114.20 
 
 120.94 
 
 111.80 
 106.50 
 110.64 
 100.07 
 108.16 
 
 Peak 
 
 stress, 
 
 psi 
 
 rv cm cm r- co on 
 rv in cm in co ~h 
 
 o -3 cm co m on 
 co cm -3 no on rv 
 
 18.27 
 35.97 
 52.11 
 70.34 
 
 rv co — < in 
 
 *-" -3 CM ON 
 
 CON MO 
 CM -3 NO 00 
 
 24.00 
 43.78 
 52.11 
 64.61 
 
 O tv 
 ON -3 
 
 — 1 NO 
 
 r- oo 
 
 oo rv on oo 
 o -3 o no 
 
 NO 00 -3 ^ 
 CM -3 NO ON 
 
 cm on so in in 
 m co -a- o on 
 
 -3 no co co in 
 
 CM -3- |v vO 00 
 
 O rv *-t co -3- 
 O 00 CM — I no 
 
 -3 in rv co o 
 CM -3 nO O ON 
 
 t—i 
 
 ON CM 00 -3 O 
 r— o cm o on 
 
 CON vO CO h 
 
 -h co in con 
 
 Initial 
 satura- 
 tion, 
 pet 
 
 m rv o o o oo 
 
 O ON O O ON NO 
 
 co cm o o oo rv 
 
 00 00 O O 00 00 
 
 •— » .—i 
 
 91.90 
 100.00 
 100.00 
 
 91.28 
 
 100.00 
 
 100.00 
 
 88.67 
 
 83.10 
 
 vO ^h O CM O vO 
 
 r-*. r^ o u"i O r->* 
 
 ON ~* O O O vt 
 
 P*ivO O lAO vO 
 
 O ON CO CM 
 
 ON CO -J rf 
 
 oo on m m 
 
 m -3 -3 NO 
 
 OO 00 -3 ON no 
 ON •— i 00 CO On 
 
 rv o no cm oo 
 
 ^ON IN DON 
 
 no oo -3 r> m 
 
 ON 00 O ON ON 
 
 — i o cm <■ rv 
 co cm no no rv 
 
 — i no no rv o 
 no on rv on r-- 
 
 oo o no m on 
 i — no no co in 
 
 Consoli- 
 dated 
 dry 
 density, 
 
 o 
 
 r- •* co-* on 
 
 OONNvOCOH 
 
 CM IV CO CM r-< CO 
 O ON O O O O 
 
 •—i .-H t— J r— ) —4 
 
 98.81 
 
 103.21 
 
 98.25 
 
 101.01 
 
 101.73 
 103.02 
 100.10 
 101.83 
 
 92.36 
 91.58 
 93.51 
 96.83 
 
 CM —I 
 NO CM 
 
 O CM 
 O O 
 
 •— 1 F-H 
 
 ~h oo in no 
 no r~ -3 on 
 
 00 NO ON -3 
 
 ON ON ON O 
 
 ONl/N in H N 
 IN H VO CO 1 — . 
 
 |v ON -3 in -3 
 ON ON o o o 
 
 p- o m o -3 
 
 NO O ON 00 NO 
 
 cm co on h in 
 On ON ON o o 
 
 N- CM CO ON CM 
 CM CO ON CM -3 
 
 CM CM I-. NO NO 
 ON ON ON ON ON 
 
 Moisture 
 content 
 
 after 
 
 test, 
 
 4J 
 CJ 
 
 o o o o o o 
 rv no oo on o oo 
 
 .— i in in -a- no co 
 
 CM CM CM CM CM CM 
 
 o o o o 
 in rv on m 
 
 O -3" -H o 
 
 CO CO CO CO 
 
 o o o o 
 
 NO CO CM no 
 
 -3 -3- CO -3 
 CM CM CM CM 
 
 o o o o o o 
 m in co co oo in 
 
 -3 -3 00 1 — CM ON 
 
 hniOhio h 
 
 o o o o 
 
 — i O 00 ON 
 00 no -3 00 
 
 o o o o o 
 ~h in in cm co 
 
 HO N-IN 
 CM CM CM CM CM 
 
 o o o o o 
 
 — 1 CM NO NO -3 
 
 CM 00 ON ON — < 
 
 — 1 —1 -H CM 
 
 o o o o o 
 
 ON CM -3 nO in 
 
 00 CM CM CM O 
 CM CM CM H CM 
 
 Dry 
 
 density, 
 
 pcf 
 
 oiNNOom 
 
 CM CO — 1 CM — I CM 
 
 CO •* 00 N CO N 
 ON ON ON ON ON ON 
 
 91.10 
 83.09 
 94.45 
 90.81 
 
 00 O O CO 
 NO *H ON «— 1 
 
 00 ON -3 nO 
 
 ON ON 91 ON 
 
 O co -3 rv 
 
 ^H CO -^ CO 
 
 MOOON 
 00 00 OO 00 
 
 CM tv 
 
 — i m 
 m in 
 
 00 ON 
 
 rv oo O on 
 
 VO ON HH 
 
 -3 O CM P- 
 
 ON ON ON ON 
 
 ON O O ON 00 
 ON CM 00 00 CO 
 
 CM -3 NO 00 CO 
 
 ON ON ON ON ON 
 
 -3- CM m ON CM 
 -3 CM -3 -3 no 
 
 in cm co in on 
 
 00 00 ON ON ON 
 
 -3 in on r-- no 
 r- — i co oo r- 
 
 nO r-. o oo on 
 00 00 ON 00 00 
 
 Applied 
 pressure, 
 
 psi 
 
 in in o m o o 
 cm cm m rv o o 
 
 i— i f— i 
 
 in o in o 
 cm in tv o 
 
 m o m o 
 cm m r- o 
 
 m o in m 
 
 Nm m — 
 
 o o 
 o o 
 
 ~H i— 1 
 
 m o m o 
 cm in rv o 
 
 in o in in o 
 cm in rv rv o 
 
 m o m o o 
 cm in iv o o 
 
 in o m o o 
 cm m i-. o o 
 
 o 
 
 1-1 >N 
 ■4-1 4-> 
 1-1 iH 
 
 o > 
 
 V CO 
 
 a, u 
 
 C/3 00 
 
 CO CO CO CO CO CO 
 
 oo oo oo oo oo oo 
 
 CM CM CM CM CM CM 
 
 CO CO CO CO 
 
 oo oo oo oo 
 
 CM CM CM CM 
 
 CO CO CO CO 
 00 00 00 00 
 
 CM CM CM CM 
 
 -3 -3- -3 -3 
 00 00 00 00 
 
 CM CM CM CM 
 
 -3 -3 
 00 00 
 
 CM CM 
 
 -3-3-3-3 
 00 00 00 00 
 
 CM CM CM CM 
 
 -3-3-3-3-3 
 
 oo oo oo oo oo 
 
 CM CM CM CM CM 
 
 -3-3-3-3-3 
 00 00 00 00 00 
 
 CM CM CM CM CM 
 
 -3-3-3-3-3 
 00 00 00 00 00 
 
 CM CM CM CM CM 
 
 Initial 
 
 moisture 
 
 content, 
 
 pet 
 
 O O O O O O 
 
 -3 no in oo cm co 
 
 O O O O 
 
 in o co in 
 
 O O O O 
 rv 00 O no 
 
 O O O O 
 
 in m cm m 
 
 O O 
 
 — i m 
 
 O O O O 
 
 — i m oo on 
 
 O O O O O 
 
 i-~- oo m o co 
 
 o o o o o 
 
 ^H in nO no -3 
 
 o o o o o 
 on cm no no in 
 
 co in on — • oo in 
 
 CM CM CM CO CM CM 
 
 O CM -* o 
 
 CO -3" CO CO 
 
 oo o rv -3 
 
 CM CO CM CM 
 
 -3 -3 -3 rv 
 
 HN-J -H 
 
 — 1 ON 
 -3 —l 
 
 00 NO -3 00 
 
 -h ^H CM CO CM 
 CM CM CM CM CM 
 
 CM 00 ON ON -H 
 —i — l — I CM 
 
 00 CM CM CM O 
 CM CM CM -* CM 
 
 Initial 
 void 
 ratio 
 
 rv co o oo oo rv 
 JN rv o ~H ON *-< 
 rv oo oo oo oo oo 
 
 ON NO ~H \0 
 
 CO CM —I -* 
 ON t— 1 ON ON 
 
 O CO CM 00 
 ON 00 NO CO 
 
 rv r-. oo oo 
 
 NO 00 CM -3 
 
 CON -n 00 
 OHCMOV 
 
 co m 
 oo m 
 o 00 
 
 co on m -3 
 
 P- -3 CM CM 
 
 oo on on oo 
 
 NO CM CM CO CM 
 
 O 00 CO ON o 
 
 ON 00 00 in 00 
 
 in no rv i — o 
 r-. in on in oo 
 
 oi cocoin 
 
 -3 -3 -h in in 
 -3 co no on r-. 
 
 O O ON ON ON 
 
 o 
 
 •— 1 
 
 
 t— l »— i i— i 
 
 •— i 
 
 
 
 ~H ~H 
 
 ~* f— 1 
 
 Initial 
 consoli- 
 dation, 
 in 
 
 (i» 1 — Ch CO H N 
 
 ■o co -3 in oo m 
 o o o o o o 
 
 oo in on — i 
 rv on m o 
 
 o ■— l o •— i 
 
 O 00 CM NO 
 
 co co in m 
 o o o o 
 
 n o co rv 
 in on -3 rv 
 o o ^ o 
 
 ■3 m 
 
 in no 
 -i O 
 
 O O -3 -3 
 
 -3 no rv rv 
 o o o o 
 
 OlOlOHH 
 
 <r in iv no so 
 o o o o o 
 
 oo no m cm r- 
 r— — i vo no m 
 o — i o o o 
 
 o no r- r- on 
 no m r-- o- no 
 o o o o o 
 
 O 1 1 1 1 1 l 1 1 l till l l l l l i l l l i i i i i i i i i i i i i i i i 
 
 01 
 
 .-1 
 
 i" 
 
 CO 
 GO 
 
 
 ■o ■* in vo iv co 
 n in in m in in 
 
 M CM CM CM CM CM 
 
 CHO-HN 
 
 in no no no 
 
 CM CM CM CM 
 
 co -3 m vo 
 
 NO NO NO NO 
 
 CM CM CM CM 
 
 NOOONOH CM 
 O^O »ONN N 
 CM CM CM CM CM CM 
 
 co -3 m no 
 
 r^ n inn 
 
 CM CM CM CM 
 
 NCO ONOH 
 M^NOOCO 
 CM CM CM CM CM 
 
 CM CO -3 in nO 
 
 OO 00 00 00 00 
 CM CM CM CM CM 
 
 IV 00 ON O — 1 
 00 00 00 ON ON 
 CM CM CM CM CM 
 
25 
 
 
 
 
 
 
 
 CO 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 co 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 - 
 
 
 
 
 hN 
 
 
 
 on 
 
 
 
 O 
 
 
 
 
 
 
 
 
 en 
 
 
 
 
 
 C_N 
 
 
 
 
 NO 
 
 
 CM 
 
 
 
 
 vO 
 
 
 
 
 in 
 
 
 
 ~3 
 
 
 
 © 
 
 
 
 o 
 
 
 
 
 X' 
 
 
 
 
 
 O 
 
 
 
 
 ON 
 
 
 ON 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 cm 
 
 
 
 
 
 
 
 
 <T 
 
 
 
 in 
 
 
 
 o 
 
 
 
 
 
 
 
 
 
 m 
 
 
 
 
 CO 
 
 
 CM 
 
 
 
 
 ON 
 
 
 
 
 -3 
 
 
 
 on 
 
 
 
 O 
 
 
 
 NO 
 
 
 
 
 <r 
 
 
 
 
 
 CM 
 
 
 
 
 o 
 
 
 ON 
 
 
 
 
 co 
 
 
 
 
 CM 
 
 
 
 on 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 
 00 
 
 
 
 
 
 CO 
 
 
 
 
 ON 
 
 
 ON 
 
 
 
 
 r- 
 
 
 
 
 vD 
 
 
 
 -3 
 
 
 
 in 
 
 
 
 00 
 
 
 
 
 r~- 
 
 
 
 
 
 NO 
 
 
 
 
 ~3 
 
 
 rv 
 
 
 
 
 rN 
 
 
 
 
 ^N 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 CO 
 
 
 
 
 CO 
 
 
 
 
 
 CO 
 
 
 
 
 CO 
 
 
 CO 
 
 
 
 
 r-» 
 
 
 
 
 o 
 
 
 
 <r 
 
 
 
 CM 
 
 
 
 CO 
 
 
 
 
 in 
 
 
 
 
 
 O 
 
 
 
 
 in 
 
 
 ON 
 
 
 
 
 -3 
 
 
 
 
 NO 
 
 
 
 in 
 
 
 
 an 
 
 
 
 
 
 
 
 
 CO 
 
 
 
 
 
 CM 
 
 
 
 
 NO 
 
 
 00 
 
 
 
 
 -3 
 
 
 
 
 © 
 
 
 
 -3 
 
 
 
 in 
 
 
 
 r*- 
 
 
 
 
 f-H 
 
 
 
 
 
 NO 
 
 
 
 
 -3 
 
 
 ■<T 
 
 
 
 
 ~* 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 ' 
 
 
 
 
 
 ~* 
 
 
 
 
 
 
 
 
 
 
 on 
 
 ^ 
 
 go 
 
 in 
 
 ao 
 
 I — 
 
 © 
 
 CO 
 
 -3 
 
 ON 
 
 , 
 
 , 
 
 . 
 
 ro 
 
 a 
 
 CM 
 
 ON 
 
 r» 
 
 CM 
 
 m 
 
 NO 
 
 On 
 
 ON 
 
 vO 
 
 CM 
 
 ON 
 
 r^ 
 
 r^ 
 
 m 
 
 ON 
 
 NO 
 
 -3 
 
 _, 
 
 r^ 
 
 r^ 
 
 ON h- 
 
 ON 
 
 CM 
 
 nO 
 
 On 
 
 X 
 
 in 
 
 nO 
 
 nO 
 
 o 
 
 in 
 
 CM 
 
 CM 
 
 NO 
 
 on 
 
 rv 
 
 ro 
 
 X 
 
 CM 
 
 NO 
 
 NO 
 
 ON 
 
 "■' 
 
 — ' 
 
 — ' 
 
 o 
 
 CM 
 
 o 
 
 -3 
 
 — I 
 
 ~> 
 
 ON 
 
 r>. 
 
 oo 
 
 CM 
 
 ci 
 
 O 
 
 "* 
 
 O -> 
 
 r^ 
 
 O 
 
 vC 
 
 90 
 
 CSI 
 
 -3 
 
 vO 
 
 in 
 
 X 
 
 r*. 
 
 ON 
 
 ON 
 
 in 
 
 NO 
 
 ON 
 
 CM 
 
 CM 
 
 r*. 
 
 P^- 
 
 in 
 
 r^> 
 
 r~ 
 
 ON 
 
 CM 
 
 o 
 
 CM 
 
 CM 
 
 CO 
 
 ^ 
 
 —, 
 
 _< 
 
 _i 
 
 © 
 
 ON 
 
 CO 
 
 00 
 
 _ 
 
 H — ■ 
 
 ^i 
 
 _ 
 
 
 
 
 
 
 
 
 
 
 o 
 
 3 
 
 
 o 
 
 CM 
 
 CM 
 
 
 
 
 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 O) 
 
 CM 
 
 CM 
 
 CM 
 
 
 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 lO 
 
 90 
 
 
 
 ON 
 
 p~ 
 
 o 
 
 DO 
 
 o 
 
 o 
 
 NO 
 
 X 
 
 o 
 
 M3 
 
 r^ 
 
 «* 
 
 nD 
 
 ON 
 
 ~o 
 
 -3 
 
 
 -3 
 
 x> 
 
 NO 
 
 CM 
 
 ON 
 
 nO 
 
 CM 
 
 -3 
 
 ■3- 
 
 •3- 
 
 O 
 
 o 
 
 NO 
 
 00 
 
 -3 CM 
 
 NO 
 
 r» 
 
 CT* 
 
 in 
 
 0* 
 
 CN 
 
 — 
 
 CM 
 
 in 
 
 X 
 
 ON 
 
 ~3 
 
 NO 
 
 CM 
 
 m 
 
 ON 
 
 X 
 
 X 
 
 o 
 
 r- 
 
 — < 
 
 CM 
 
 r^ 
 
 an 
 
 "-< 
 
 —> 
 
 CO 
 
 — ' 
 
 ON 
 
 CM 
 
 CM 
 
 n3 
 
 1-1 
 
 -3 
 
 -* 
 
 r~ 
 
 ON 
 
 -3- CM 
 
 ON 
 
 CM 
 
 rsi 
 
 90 
 
 a 
 
 -^ 
 
 on 
 
 on 
 
 vO 
 
 00 
 
 — 
 
 __ 
 
 a 
 
 NO 
 
 -3 
 
 CM 
 
 in 
 
 i — 
 
 NO 
 
 00 
 
 © 
 
 in 
 
 ON 
 
 on 
 
 _, 
 
 ro 
 
 ,-^ 
 
 ON 
 
 CM 
 
 CM 
 
 m 
 
 o 
 
 on 
 
 _ 
 
 ON 
 
 m 
 
 CO 
 
 CM CM 
 
 o 
 
 _H 
 
 -. 
 
 ro 
 
 >c 
 
 vO 
 
 '"* 
 
 ™ 
 
 co 
 
 in 
 
 r-. 
 
 CM 
 
 <r 
 
 in 
 
 r — 
 
 CM 
 
 ■» 
 
 m 
 
 r*- 
 
 1 ' 
 
 «3 
 
 m 
 
 r^ 
 
 "* 
 
 <r 
 
 in 
 
 in 
 
 Pv 
 
 CM 
 
 <r 
 
 m 
 
 NO 
 
 r-* 
 
 CM 
 
 cn 
 
 l/N 
 
 r^ 
 
 CM «3 
 
 NO 
 
 CO 
 
 on 
 
 O 
 
 _. 
 
 X 
 
 ro 
 
 o 
 
 © 
 
 ON 
 
 O 
 
 CM 
 
 O 
 
 m 
 
 CO 
 
 o 
 
 o 
 
 00 
 
 ON 
 
 -3 
 
 NO 
 
 CM 
 
 ro 
 
 ro 
 
 sO 
 
 O 
 
 CO 
 
 CO 
 
 rv 
 
 rN 
 
 © 
 
 O 
 
 o 
 
 CM 
 
 o 
 
 © 
 
 ON 
 
 *H CM 
 
 o 
 
 O 
 
 ro 
 
 3 
 
 r 
 
 ON 
 
 CM 
 
 o 
 
 r 
 
 nO 
 
 O 
 
 CO 
 
 in 
 
 in 
 
 p^ 
 
 o 
 
 o 
 
 3 
 
 CO 
 
 — ' 
 
 -3- 
 
 CO 
 
 <r 
 
 O 
 
 «* 
 
 CM 
 
 00 
 
 On 
 
 rs 
 
 CO 
 
 o 
 
 O 
 
 o 
 
 CO 
 
 CO 
 
 o 
 
 in 
 
 rv co 
 
 o 
 
 O 
 
 90 
 
 - 
 
 3 
 
 in 
 
 nO 
 
 o 
 
 o 
 
 r^ 
 
 © 
 
 rv 
 
 in 
 
 r-» 
 
 CM 
 
 o 
 
 a 
 
 Csl 
 
 <3 
 
 CO 
 
 -T 
 
 — 
 
 oo 
 
 ON 
 
 CM 
 
 L/V 
 
 NO 
 
 rv 
 
 ON 
 
 —, 
 
 o 
 
 o 
 
 o 
 
 ON 
 
 o- 
 
 o 
 
 on 
 
 H -3- 
 
 o 
 
 o 
 
 CT> 
 
 3 
 
 
 00 
 
 0> 
 
 o 
 
 o 
 
 on 
 
 o 
 
 *"* 
 
 nO 
 
 X 
 
 00 
 
 o 
 
 o 
 
 ■X 
 
 ON 
 
 on 
 
 ON 
 
 ON 
 
 00 
 
 NO 
 
 ON 
 
 ON 
 
 oo 
 
 00 
 
 ON 
 
 ON 
 
 O 
 
 C_N 
 
 o 
 
 00 
 
 CTN 
 
 o 
 
 on 
 
 ON ON 
 
 O 
 
 O 
 
 DO 
 
 -3 
 
 ro 
 
 o 
 
 ro 
 
 o 
 
 •* 
 
 
 in 
 
 r-v 
 
 CO 
 
 CO 
 
 r- 
 
 m 
 
 CO 
 
 
 
 NO 
 
 r~ 
 
 lO 
 
 _ 
 
 
 ON 
 
 
 ON 
 
 00 
 
 rv 
 
 CM 
 
 ON 
 
 «3 
 
 00 
 
 in 
 
 MD 
 
 <r 
 
 r*^ 
 
 ON -* 
 
 NO 
 
 CM 
 
 co 
 
 O 
 
 O 
 
 - 
 
 NO 
 
 o 
 
 ON 
 
 CM 
 
 nO 
 
 NO 
 
 CM 
 
 — ' 
 
 CM 
 
 CM 
 
 CO 
 
 o 
 
 ON 
 
 m 
 
 a 
 
 -* 
 
 CM 
 
 — ' 
 
 CO 
 
 m 
 
 DO 
 
 oo 
 
 in 
 
 m 
 
 CO 
 
 o 
 
 CM 
 
 NO 
 
 m 
 
 on 
 
 ro 
 
 oo r-v 
 
 - 1 
 
 -7 
 
 on 
 
 90 
 
 in 
 
 
 rv 
 
 on 
 
 CO 
 
 CO 
 
 ON 
 
 CM 
 
 CO 
 
 _ 
 
 in 
 
 ON 
 
 _ 
 
 _ 
 
 m 
 
 ON 
 
 co 
 
 <%J 
 
 00 
 
 r^ 
 
 <J- 
 
 CO 
 
 r*» 
 
 © 
 
 -3 
 
 DO 
 
 sD 
 
 ON 
 
 ON 
 
 o 
 
 rH 
 
 CM 
 
 O 
 
 CM NO 
 
 ON 
 
 ON 
 
 90 
 
 o> 
 
 3 
 
 3 
 
 O 
 
 ON 
 
 © 
 
 © 
 
 © 
 
 ON 
 
 On 
 
 C 
 
 on 
 
 ON O 
 
 © 
 
 o 
 
 ON 
 
 O 
 
 o 
 
 o 
 
 ON 
 
 o 
 
 c 
 
 © 
 
 r^ 
 
 O 
 
 O 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 ^ 
 
 O O 
 
 o 
 
 O 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 CM 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 O 
 
 O 
 
 O 
 
 o 
 
 O 
 
 o 
 
 o 
 
 © 
 
 O 
 
 o 
 
 © 
 
 © 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 © 
 
 o 
 
 o 
 
 o 
 
 O 
 
 O 
 
 o 
 
 O 
 
 © 
 
 o 
 
 Q 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 O O 
 
 o 
 
 o 
 
 o 
 
 O 
 
 in 
 
 -. 
 
 00 
 
 f*N 
 
 3 
 
 I**. 
 
 o 
 
 -3 
 
 3 
 
 ON 
 
 ON 
 
 CM 
 
 ON 
 
 NO 
 
 r^ 
 
 CM 
 
 ON 
 
 lO 
 
 ON 
 
 ON 
 
 r— 
 
 m 
 
 <r 
 
 CM 
 
 -3- 
 
 ON 
 
 m 
 
 00 
 
 -3 
 
 r^ 
 
 ON 
 
 ON 
 
 in 
 
 CM r^ 
 
 DO 
 
 ■* 
 
 X 
 
 r* 
 
 CM 
 
 _ 
 
 nO 
 
 __ 
 
 ON 
 
 CTn 
 
 ON 
 
 NO 
 
 r, 
 
 ON 
 
 CO 
 
 r*. 
 
 lO 
 
 in 
 
 NO 
 
 in 
 
 -3 
 
 o 
 
 CM 
 
 CM 
 
 CO 
 
 ■* 
 
 CM 
 
 CO 
 
 ro 
 
 -^ 
 
 ON 
 
 <r 
 
 m 
 
 NO 
 
 NO 
 
 ON 
 
 CO 
 
 in co 
 
 <r 
 
 m 
 
 r-i 
 
 n 
 
 rM 
 
 ro 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 r-: 
 
 CM 
 
 CM 
 
 CM 
 
 en 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 r~j 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 CM 
 
 iTt 
 
 co 
 
 
 
 CM 
 
 <-> 
 
 ^ 
 
 CN 
 
 CO 
 
 NO 
 
 , 
 
 O 
 
 <3 
 
 r- 
 
 r^ 
 
 CO 
 
 ON 
 
 on 
 
 . 
 
 o 
 
 NO 
 
 ON 
 
 x> 
 
 O 
 
 ON 
 
 <f 
 
 on 
 
 O 
 
 r~ 
 
 ON 
 
 00 
 
 _, 
 
 rN 
 
 O 
 
 _, 
 
 CM NO 
 
 ON 
 
 o 
 
 in 
 
 -. 
 
 CI 
 
 ro 
 
 o 
 
 — ■ 
 
 -3 
 
 nO 
 
 -3 
 
 -3 
 
 3 
 
 3 
 
 ON 
 
 — ' 
 
 r— 
 
 CO 
 
 ao 
 
 CO 
 
 <r 
 
 r^ 
 
 ON 
 
 CM 
 
 o 
 
 CM 
 
 Ifi 
 
 CM 
 
 — ' 
 
 -3 
 
 ~+ 
 
 m 
 
 ro 
 
 "* 
 
 CM 
 
 ON 
 
 ■"• 
 
 rv ON 
 
 m 
 
 hi 
 
 -3 
 
 — 
 
 o 
 
 r-» 
 
 CM 
 
 oo 
 
 _« 
 
 ~ 
 
 CM 
 
 NO 
 
 X 
 
 a 
 
 _, 
 
 NO 
 
 NO 
 
 CO 
 
 CM 
 
 CM 
 
 -3 
 
 ON 
 
 NO 
 
 _ 
 
 r* 
 
 X! 
 
 ON 
 
 O 
 
 an 
 
 ON 
 
 <t 
 
 r^ 
 
 NO 
 
 <t 
 
 CO 
 
 o 
 
 00 
 
 nO Pv 
 
 rv 
 
 NO 
 
 X 
 
 on 
 
 
 X 
 
 On 
 
 ao 
 
 ON 
 
 ON 
 
 ON 
 
 00 
 
 X 
 
 ON 
 
 00 
 
 ON 
 
 ■y 
 
 ON 
 
 o> 
 
 ON 
 
 ON 
 
 X 
 
 ON 
 
 ON 
 
 Oi 
 
 ON 
 
 ON 
 
 o 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON 
 
 ON On 
 
 ON 
 
 ON 
 
 .- 
 
 o 
 
 in 
 
 o 
 
 O 
 
 in 
 
 o 
 
 in 
 
 o 
 
 in 
 
 o 
 
 m 
 
 © 
 
 m o 
 
 in 
 
 o 
 
 m 
 
 © 
 
 u-, 
 
 o 
 
 in 
 
 © 
 
 m 
 
 m 
 
 o 
 
 m 
 
 O 
 
 m 
 
 m 
 
 o 
 
 in 
 
 o 
 
 m 
 
 o 
 
 in o 
 
 m 
 
 o 
 
 -. 
 
 m 
 
 r^ 
 
 = 
 
 c 
 
 CM 
 
 in 
 
 r* 
 
 O 
 
 CM 
 
 1/1 
 
 r-- 
 
 o 
 
 CM 
 
 m 
 
 r-- 
 
 o 
 
 CM 
 
 m 
 
 r^ 
 
 o 
 
 CM 
 
 in 
 
 r* 
 
 
 o 
 
 CM 
 
 m 
 
 r^ 
 
 r-. 
 
 o 
 
 CM 
 
 m 
 
 r*. 
 
 o 
 
 cm m 
 
 r^ 
 
 o 
 
 -7 
 
 - 
 
 -3 
 
 - 
 
 <T 
 
 •iT 
 
 -3 
 
 «3 
 
 ~3 
 
 -3 
 
 -3- 
 
 ~3 
 
 -3 
 
 -3 
 
 -3 
 
 -3 
 
 -3 
 
 <r 
 
 -3 
 
 -T 
 
 <t 
 
 ~3 
 
 -T 
 
 •* 
 
 -* 
 
 -3 
 
 -3 
 
 -3 
 
 ^ , 
 
 -* 
 
 ■J- 
 
 -<r 
 
 -3 
 
 •* 
 
 -3 
 
 -3 -3 
 
 <r 
 
 -T 
 
 x 
 
 X 
 
 X 
 
 X 
 
 ao 
 
 00 
 
 X 
 
 X 
 
 ao 
 
 00 
 
 X 
 
 X 
 
 oo 
 
 00 
 
 DO 
 
 X 
 
 oo 
 
 00 
 
 X 
 
 X 
 
 00 
 
 an 
 
 X 
 
 00 
 
 x. 
 
 an 
 
 00 
 
 » 
 
 X) 
 
 X) 
 
 an 
 
 on 
 
 00 
 
 00 
 
 00 
 
 on an 
 
 X' 
 
 CO 
 
 
 
 CM 
 
 - 1 
 
 CM 
 
 CM 
 
 -1 
 
 - 1 
 
 CM 
 
 CM 
 
 CM 
 
 CN 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM CM 
 
 CM 
 
 C 1 
 
 O 
 
 a 
 
 o 
 
 
 o 
 
 o 
 
 O 
 
 © 
 
 O 
 
 o 
 
 o 
 
 O 
 
 © 
 
 © 
 
 O 
 
 o 
 
 o 
 
 o 
 
 © 
 
 © 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 o 
 
 O 
 
 o o 
 
 O 
 
 O 
 
 o 
 
 .- 
 
 - 
 
 CM 
 
 ■* 
 
 — 
 
 nO 
 
 ON 
 
 © 
 
 NO 
 
 -r 
 
 ON 
 
 ON 
 
 CO 
 
 in 
 
 O 
 
 CM 
 
 ON 
 
 CM 
 
 -3 
 
 00 
 
 ON 
 
 ON 
 
 O 
 
 X 
 
 on 
 
 CO 
 
 CM 
 
 10 
 
 CI 
 
 o 
 
 oo 
 
 ~* 
 
 m 
 
 CO 
 
 ON ON 
 
 CM 
 
 ON 
 
 ■ 
 
 m 
 
 ■ 
 
 __ 
 
 _ 
 
 ON 
 
 in 
 
 
 in 
 
 on 
 
 e»i 
 
 ON 
 
 CO 
 
 CO 
 
 9 
 
 nO 
 
 O 
 
 NO 
 
 ON 
 
 _ 
 
 in 
 
 CM 
 
 NO 
 
 r^ 
 
 CI 
 
 ro 
 
 on 
 
 in 
 
 CI 
 
 91 
 
 —. 
 
 r-. 
 
 a 
 
 -1- 
 
 oo 
 
 NO NO 
 
 ON 
 
 C--1 
 
 — 
 
 — 
 
 -i 
 
 ro 
 
 en 
 
 en 
 
 CO 
 
 — 
 
 CO 
 
 CM 
 
 
 
 CO 
 
 ro 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 CM 
 
 ro 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CO 
 
 CM 
 
 ro 
 
 CM 
 
 m 
 
 CO 
 
 CM 
 
 CM CM 
 
 CI 
 
 en 
 
 l*» 
 
 - ; 
 
 DO 
 
 . 
 
 i — 
 
 CM 
 
 X. 
 
 NO 
 
 00 
 
 . 
 
 in 
 
 o 
 
 -3 
 
 CO 
 
 CM 
 
 o 
 
 ON 
 
 ON 
 
 DO 
 
 r^ 
 
 ON 
 
 CM 
 
 NO 
 
 m 
 
 00 
 
 Oi 
 
 NO 
 
 -3 
 
 CO 
 
 r^ 
 
 O 
 
 ~3 
 
 Cl 
 
 m 
 
 r*. 
 
 CO O 
 
 r— 
 
 r- 
 
 o- 
 
 O 
 
 -O 
 
 ro 
 
 CM 
 
 — ■ 
 
 ro 
 
 m 
 
 
 in 
 
 — . 
 
 r*» 
 
 nO 
 
 >3 
 
 CO 
 
 o 
 
 © 
 
 —i 
 
 fNN- 
 
 rNi 
 
 CM 
 
 -3 
 
 C i 
 
 O 
 
 r-~ 
 
 nO 
 
 o 
 
 X) 
 
 ao 
 
 — i 
 
 -3 
 
 on 
 
 O 
 
 o 
 
 O 
 
 CO -- 
 
 »H 
 
 c^ 
 
 c 
 
 CH 
 
 p* 
 
 O 
 
 ON 
 
 O 
 
 ON 
 
 on 
 
 ON 
 
 O 
 
 C 
 
 ON 
 
 — 
 
 ao 
 
 DO 
 
 ON 
 
 ON 
 
 ON 
 
 90 
 
 ON 
 
 an 
 
 ON 
 
 oo 
 
 X 
 
 r^. 
 
 r^ 
 
 on 
 
 p*l 
 
 00 
 
 X 
 
 an 
 
 on 
 
 en 
 
 on 
 
 an 
 
 oo on 
 
 Xj 
 
 CO 
 
 w * 
 
 
 
 — 
 
 
 — 
 
 
 
 
 — ' 
 
 -* 
 
 
 •" 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 - 
 
 CM 
 
 .- 
 
 - 
 
 in 
 
 
 a 
 
 ' I 
 
 r- 
 
 r-» 
 
 c 
 
 o 
 
 © 
 
 
 m 
 
 nO 
 
 CO 
 
 CM 
 
 -3 
 
 'J 
 
 -3 
 
 o 
 
 o 
 
 m 
 
 e 
 
 -£> 
 
 
 • 
 
 ON 
 
 m 
 
 00 
 
 in 
 
 CM 
 
 r- 
 
 
 O CM 
 
 e 
 
 00 
 
 r 
 
 - 
 
 -3 
 
 - 
 
 <3 
 
 a 
 
 f : 
 
 - 1 
 
 LT 
 
 nO 
 
 j~ 
 
 m— 
 
 -3 
 
 CO 
 
 T 
 
 r^ 
 
 CM 
 
 r^ 
 
 90 
 
 CM 
 
 © 
 
 c 
 
 r^ 
 
 9 
 
 r^. 
 
 ON 
 
 vO 
 
 oo 
 
 — 1 
 
 o 
 
 —t 
 
 a 
 
 x> 
 
 ^H 
 
 ~* 
 
 no an 
 
 o 
 
 — i 
 
 
 □ 
 
 a 
 
 i 
 
 i 
 
 
 ' 
 
 i 
 
 1 
 
 o 
 
 1 
 
 a 
 i 
 
 ' 
 
 ' 
 
 O 
 
 a 
 
 © 
 1 
 
 1 
 
 © 
 
 c 
 
 ' 
 
 ' 
 
 o 
 
 1 
 
 O 
 l 
 
 o 
 
 1 
 
 o 
 
 1 
 
 o 
 
 1 
 
 o 
 
 i 
 
 O 
 I 
 
 1 
 
 ' 
 
 i 
 
 O 
 
 i 
 
 O 
 i 
 
 ' 
 
 i 
 
 o o 
 ■ i 
 
 i 
 
 i 
 
 
 — 
 
 - 
 
 .' 
 
 o 
 
 r^ 
 
 DO 
 
 i 
 
 © 
 
 
 'j 
 
 c 
 
 -3 
 
 m 
 
 e 
 
 h* 
 
 X 
 
 ON 
 
 o 
 
 
 •vi 
 
 ro 
 
 I 
 
 m 
 
 sO 
 
 rs 
 
 00 
 
 a 
 
 o 
 
 
 CM 
 
 ro 
 
 -3 
 
 m 
 
 nO 
 
 r~ 00 
 
 o- 
 
 a 
 
 9 
 
 ~ 
 
 - 
 
 o» 
 
 T 
 
 ON 
 
 0> 
 
 ON 
 
 © 
 
 a 
 
 a 
 
 o 
 
 o 
 
 o o 
 
 o 
 
 © 
 
 o 
 
 
 
 
 
 
 
 
 
 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 CM 
 
 Cm 
 
 CM 
 
 CM CM 
 
 CM 
 
 en 
 
 EN 
 
 
 
 
 CM 
 
 CM 
 
 ' 1 
 
 ' i 
 
 CO 
 
 ro 
 
 — 
 
 " 
 
 CO 
 
 ro 
 
 CO 
 
 " 
 
 m 
 
 CO 
 
 "N 
 
 CO 
 
 CO 
 
 CO 
 
 CO 
 
 m 
 
 ro 
 
 ro 
 
 ro 
 
 CO 
 
 en 
 
 ro 
 
 CO 
 
 CO 
 
 CO 
 
 ro 
 
 CO 
 
 ro ro 
 
 ro 
 
 en 
 
26 
 
 TABLE A-2. - SW Laboratory data 
 
 
 Fellenius 
 
 Wet 
 
 Internal 
 
 Cohesion, 
 
 
 Fellenius 
 
 Wet 
 
 Internal 
 
 Cohesion, 
 
 Sample 
 
 factor of 
 
 density, 
 
 friction 
 
 psi 
 
 Sample 
 
 factor of 
 
 density, 
 
 friction 
 
 psi 
 
 
 safety 
 
 pcf 
 
 angle, deg 
 
 
 
 safety 
 
 pcf 
 
 angle, deg 
 
 
 1 
 
 1.948 
 
 111.36 
 
 39.39 
 
 4.22 
 
 66 
 
 2.107 
 
 100.08 
 
 43.20 
 
 2.60 
 
 2 
 
 1.932 
 
 103.54 
 
 39.44 
 
 3.96 
 
 67 
 
 1.875 
 
 114.14 
 
 38.10 
 
 2.30 
 
 3 
 
 2.124 
 
 103.67 
 
 38.51 
 
 9.16 
 
 68 
 
 1.674 
 
 105.11 
 
 39.50 
 
 .00 
 
 4 
 
 1.899 
 
 115.81 
 
 37.13 
 
 2.40 
 
 69 
 
 1.904 
 
 108.95 
 
 36.31 
 
 7.34 
 
 5 
 
 1.838 
 
 112.50 
 
 36.25 
 
 2.40 
 
 70 
 
 1.775 
 
 111.33 
 
 40.98 
 
 .05 
 
 6 
 
 2.008 
 
 105.31 
 
 36.80 
 
 5.52 
 
 71 
 
 1.871 
 
 108.26 
 
 39.54 
 
 2.40 
 
 7 
 
 1.969 
 
 95.74 
 
 36.42 
 
 5.26 
 
 72 
 
 1.801 
 
 122.41 
 
 36.60 
 
 2.60 
 
 8 
 
 2.137 
 
 100.14 
 
 44.04 
 
 .57 
 
 73 
 
 1.790 
 
 119.02 
 
 38.60 
 
 1.20 
 
 9 
 
 2.017 
 
 103.96 
 
 37.51 
 
 4.74 
 
 74 
 
 1.964 
 
 107.91 
 
 41.00 
 
 2.40 
 
 10 
 
 2.245 
 
 99.51 
 
 41.65 
 
 3.70 
 
 75 
 
 1.819 
 
 107.18 
 
 34.80 
 
 7.30 
 
 11 
 
 2.402 
 
 102.52 
 
 42.03 
 
 6.30 
 
 76 
 
 1.913 
 
 110.10 
 
 39.80 
 
 1.60 
 
 12 
 
 1.937 
 
 111.54 
 
 43.19 
 
 .00 
 
 77 
 
 1.913 
 
 105.47 
 
 40.40 
 
 1.20 
 
 13 
 
 2.009 
 
 96.73 
 
 36.20 
 
 6.30 
 
 78 
 
 2.040 
 
 112.15 
 
 41.90 
 
 2.60 
 
 14 
 
 1.713 
 
 105.49 
 
 31.90 
 
 5.50 
 
 79 
 
 1.887 
 
 110.95 
 
 40.80 
 
 .60 
 
 15 
 
 1.550 
 
 104.15 
 
 36.91 
 
 .00 
 
 80 
 
 1.661 
 
 114.64 
 
 35.20 
 
 3.30 
 
 16 
 
 2.246 
 
 104.24 
 
 43.23 
 
 1.61 
 
 81 
 
 1.622 
 
 109.11 
 
 34.90 
 
 2.90 
 
 17 
 
 2.388 
 
 106.46 
 
 42.78 
 
 4.74 
 
 82 
 
 2.363 
 
 119.12 
 
 43.80 
 
 6.90 
 
 18 
 
 1.820 
 
 103.97 
 
 34.56 
 
 4.48 
 
 83 
 
 2.288 
 
 112.54 
 
 47.00 
 
 .50 
 
 19 
 
 2.328 
 
 109.54 
 
 37.78 
 
 11.25 
 
 84 
 
 2.030 
 
 114.79 
 
 45.00 
 
 .00 
 
 20 
 
 2.609 
 
 103.14 
 
 43.77 
 
 13.59 
 
 85 
 
 2.102 
 
 106.93 
 
 42.40 
 
 3.40 
 
 21 
 
 1.909 
 
 110.85 
 
 39.89 
 
 2.66 
 
 86 
 
 1.916 
 
 103.65 
 
 40.14 
 
 1.35 
 
 22 
 
 2.055 
 
 104.04 
 
 42.71 
 
 2.05 
 
 87 
 
 1.984 
 
 104.89 
 
 40.24 
 
 3.96 
 
 23 
 
 2.169 
 
 97.81 
 
 44.12 
 
 2.66 
 
 88 
 
 1.962 
 
 102.07 
 
 39.95 
 
 3.96 
 
 24 
 
 2.216 
 
 103.96 
 
 40.59 
 
 8.38 
 
 89 
 
 2.524 
 
 113.11 
 
 43.23 
 
 11.51 
 
 25 
 
 2.134 
 
 100.61 
 
 42.96 
 
 1.61 
 
 90 
 
 2.144 
 
 109.08 
 
 37.78 
 
 10.73 
 
 26 
 
 2.075 
 
 102.06 
 
 42.82 
 
 2.40 
 
 91 
 
 2.096 
 
 112.27 
 
 36.69 
 
 11.25 
 
 27 
 
 1.900 
 
 108.50 
 
 43.10 
 
 .00 
 
 92 
 
 1.771 
 
 98.86 
 
 41.10 
 
 .00 
 
 28 
 
 1.896 
 
 99.67 
 
 36.28 
 
 7.99 
 
 93 
 
 1.980 
 
 100.70 
 
 41.90 
 
 1.80 
 
 29 
 
 1.812 
 
 96.12 
 
 39.59 
 
 1.61 
 
 94 
 
 2.041 
 
 100.83 
 
 44.10 
 
 .30 
 
 30 
 
 1.965 
 
 105.12 
 
 41.27 
 
 2.14 
 
 95 
 
 1.802 
 
 105.89 
 
 41.60 
 
 .00 
 
 31 
 
 2.617 
 
 111.45 
 
 42.90 
 
 15.50 
 
 96 
 
 1.987 
 
 107.55 
 
 40.80 
 
 3.20 
 
 32 
 
 2.194 
 
 112.55 
 
 44.50 
 
 .90 
 
 97 
 
 2.126 
 
 111.88 
 
 35.60 
 
 14.80 
 
 33 
 
 1.802 
 
 104.27 
 
 34.06 
 
 7.73 
 
 98 
 
 1.940 
 
 111.79 
 
 43.70 
 
 .00 
 
 34 
 
 1.998 
 
 115.73 
 
 37.82 
 
 7.86 
 
 99 
 
 1.928 
 
 100.15 
 
 40.90 
 
 2.10 
 
 35 
 
 1.981 
 
 108.40 
 
 35.98 
 
 9.42 
 
 100 
 
 1.974 
 
 111.59 
 
 37.50 
 
 7.40 
 
 36 
 
 1.773 
 
 103.94 
 
 41.13 
 
 .00 
 
 101 
 
 2.212 
 
 102.85 
 
 43.86 
 
 4.70 
 
 37 
 
 2.044 
 
 118.10 
 
 33.80 
 
 15.67 
 
 102 
 
 2.204 
 
 97.90 
 
 42.91 
 
 5.00 
 
 38 
 
 2.150 
 
 112.20 
 
 42.27 
 
 2.40 
 
 103 
 
 2.110 
 
 99.18 
 
 41.89 
 
 4.48 
 
 39 
 
 1.740 
 
 109.56 
 
 33.15 
 
 7.60 
 
 104 
 
 1.894 
 
 105.49 
 
 37.56 
 
 5.52 
 
 40 
 
 1.716 
 
 114.06 
 
 40.20 
 
 .00 
 
 105 
 
 1.945 
 
 98.80 
 
 41.17 
 
 2.14 
 
 41 
 
 2.360 
 
 104.86 
 
 40.60 
 
 12.80 
 
 106 
 
 1.836 
 
 111.97 
 
 27.10 
 
 18.79 
 
 42 
 
 1.602 
 
 109.29 
 
 31.00 
 
 7.00 
 
 107 
 
 1.923 
 
 102.53 
 
 31.00 
 
 15.30 
 
 43 
 
 1.971 
 
 115.27 
 
 41.30 
 
 1.30 
 
 108 
 
 1.574 
 
 111.19 
 
 31.80 
 
 5.50 
 
 44 
 
 2.028 
 
 101.66 
 
 39.80 
 
 5.50 
 
 109 
 
 1.960 
 
 101.19 
 
 36.10 
 
 9.70 
 
 45 
 
 1.674 
 
 113.76 
 
 39.50 
 
 .00 
 
 110 
 
 2.098 
 
 104.65 
 
 39.70 
 
 7.10 
 
 46 
 
 2.441 
 
 108.66 
 
 45.30 
 
 6.20 
 
 111 
 
 1.742 
 
 111.58 
 
 35.80 
 
 4.40 
 
 47 
 
 2.033 
 
 106.11 
 
 41.10 
 
 1.90 
 
 112 
 
 1.547 
 
 107.24 
 
 37.30 
 
 .00 
 
 48 
 
 2.228 
 
 106.41 
 
 40.50 
 
 8.80 
 
 113 
 
 1.508 
 
 106.87 
 
 36.60 
 
 .00 
 
 49 
 
 2.199 
 
 114.94 
 
 42.20 
 
 5.70 
 
 114 
 
 1.340 
 
 107.74 
 
 29.50 
 
 2.90 
 
 50 
 
 1.809 
 
 114.08 
 
 41.70 
 
 .00 
 
 115 
 
 1.793 
 
 98.32 
 
 38.20 
 
 2.80 
 
 51 
 
 1.771 
 
 96.29 
 
 41.10 
 
 .00 
 
 116 
 
 1.517 
 
 102.58 
 
 26.80 
 
 10.50 
 
 52 
 
 1.975 
 
 102.36 
 
 36.80 
 
 8.12 
 
 117 
 
 2.137 
 
 99.20 
 
 40.90 
 
 6.30 
 
 53 
 
 2.170 
 
 98.83 
 
 41.22 
 
 6.56 
 
 118 
 
 1.570 
 
 99.17 
 
 30.80 
 
 7.20 
 
 54 
 
 2.041 
 
 100.47 
 
 41.99 
 
 2.92 
 
 119 
 
 1.798 
 
 111.45 
 
 37.30 
 
 3.70 
 
 55 
 
 1.460 
 
 111.94 
 
 31.40 
 
 3.40 
 
 120 
 
 1.938 
 
 112.07 
 
 40.50 
 
 2.40 
 
 56 
 
 1.868 
 
 109.85 
 
 36.60 
 
 6.20 
 
 121 
 
 1.983 
 
 105.09 
 
 41.00 
 
 2.90 
 
 57 
 
 1.816 
 
 108.53 
 
 38.70 
 
 1.00 
 
 122 
 
 1.633 
 
 112.18 
 
 25.90 
 
 15.00 
 
 58 
 
 1.884 
 
 109.03 
 
 39.80 
 
 2.30 
 
 123 
 
 1.473 
 
 114.27 
 
 28.70 
 
 6.80 
 
 59 
 
 1.847 
 
 104.07 
 
 42.30 
 
 .00 
 
 124 
 
 2.057 
 
 112.02 
 
 41.40 
 
 4.20 
 
 60 
 
 1.826 
 
 107.41 
 
 39.20 
 
 1.10 
 
 125 
 
 2.063 
 
 108.98 
 
 38.20 
 
 8.40 
 
 61 
 
 1.603 
 
 106.65 
 
 38.30 
 
 .00 
 
 126 
 
 2.418 
 
 107.78 
 
 46.60 
 
 1.90 
 
 62 
 
 1.816 
 
 109.90 
 
 38.30 
 
 2.80 
 
 127 
 
 2.181 
 
 106.15 
 
 44.40 
 
 1.20 
 
 63 
 
 1.679 
 
 109.93 
 
 39.60 
 
 .00 
 
 128 
 
 1.476 
 
 110.83 
 
 33.00 
 
 1.90 
 
 64 
 
 2.028 
 
 102.86 
 
 41.10 
 
 1.80 
 
 129 
 
 2.154 
 
 100.33 
 
 46.70 
 
 .00 
 
 65 
 
 2.013 
 
 99.50 
 
 40.60 
 
 4.20 
 
 130 
 
 1.740 
 
 94.96 
 
 40.60 
 
 .00 
 
 INT.-BU.OF MIN ES,PGH.,P A. 26Q9E 
 

A" • 
 
 v 6 ^ 
 
 
 
 » ^ 
 
 
 
 s* <y ^amSb * ^p & *• 
 
 
 '* o. 
 
 
 4> > 
 
 4<2* 
 
 
 O. ' . „ o 
 
 ^ .: 
 
 ^6^ 
 
 V c*J^w«' °^ 4P 
 
 
 
 .S^r 
 
 
 
 Q_ * 
 
 .■» o 
 
 >^ *1*°* 
 
 
 
 k V^u 
 
 
 
 
 *bV" 
 
 ^ -v 
 
 "of 
 
 
 
 
 
 ^^ 
 
 .^ ♦: 
 
 
 \f 
 
 -o *r.T*-A ^ *-"^T ,, .G*' ^t k "*•'•» ,, "i0 , 
 
 •o V 
 
'J * ;, 
 
 
 *w 
 
 A°+ .1 
 
 »p*\. 
 
 l '- ^^ ^^&: W •JS'' ^/ -Wife w ; Jsfe^ ***** 
 
 
 
 ^^ 
 
 v* 3 
 
 *w 
 
 
 ^ v 
 
 
 
 
 
 & \<f' SjMjfc* ' \<? ' - % MM % '\***' : *Mm° ****** ' :%l 
 
 
 
 >0 
 
 «5°^ - 
 
 1> 6«_-«* 
 
 *S?^V %^'\S %' 7 ^ ; '^ \ ,; ^Y 
 
 
 
 w 
 
 
 • ^o^ . 
 
 »°v '. 
 
 ^°* . 
 
 
 
 &* ^-."'••••\0' <*"*^7V^*.G* ^."'••»* 4 ^ V <». **5tv^ , .6 - *' ^*.*' , "»* 4 ^ 
 
 
 
 ^**6* 3". ^-6*