LIBRARY OF THE UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN 510.84 "o. 728-733 Cap. 2, yj 75/ CM- ^ UIUCDCS-R-75-731 /' I- H AQVAL/l (AQ7) User's Guide and Program Description by James Larson R. S. Michalski June 1975 THE LIBRARY OF THE JUL 14 1975 4JVERS1TV OF ILLINQ1 DEPARTMENT OF COMPUTER SCIENCE UNIVERSITY OF ILLINOIS AT URBANA-CHAMPAIGN Digitized by the Internet Archive in 2013 http://archive.org/details/aqval1 aq7usersgu731 lars UIUCDCS-R-75-731 AQVAL/l (AQ7) User's Guide and Program Description hy James Larson R. S. Michalski Department of Computer Science University of Illinois at Urbana-Champaign Urbana, Illinois 6l801 June 1975 This work was supported in part by the National Science Foundation under Grant No. DCR 7k -0351k . AQVAL/l (AQ7) User's Guide and Program Description ABSTRACT AQVAL/l (AQ7) is a PL/l program which synthesizes quasi- optimal formulas of the variable-valued logic system VL-. . By 'quasi- optimal formulas' we mean here disjunctive simple VL]_ formulas,! which are optimal or sub-optimal with regard to a user- specified optimality functional. The basic application of the program is in the area of machine learning and inductive inference ('inductive learning'): from descriptions of objects with known class membership, the program infers optimal or sub-optimal descriptions of object classes. These descriptions are expressed as VL]_ formulas and represent certain generalizations of inputted information. The program can also be used (at the appropriate setting of its parameters) for an efficient minimization of binary- or multi -valued switching functions with a large number of variables (e.g., 50-100 variables) . ACKNOWLEDGMENTS Acknowledgments go to all people who contributed to different stages of the development of the current AQVAL/l (AQJ) program and its earlier versions, in particular to Val Tare ski, Peter Raulefs, Celso Frazer, Kurt Hirchert and Richard Chilausky. The authors would also like to acknowledge the National Science Foundation who partially supported this work under Grant No. DCR 7^-03514. TABLE OF CONTENTS Page 1 . INTRODUCTION 1 2 . INPUT PARAMETERS AND FORMAT 2 2.1 Description of input parameters 2 2.2 Steps in the input specification 3 3 • OUTPUT PARAMETERS 15 h . EXAMPLES OF PROGRAM INPUT AND OUTPUT l6 5 . PROGRAM IMPLEMENTATION 39 5 . 1 General remarks 39 5 .2 Program representation of complexes and events 39 5-3 Internal structure for storing intermediate stars hO 5 .h Structure of the program k2 5-5 Basic procedures in the program 43 5.6 Remarks about other related programs k6 REFERENCES kS APPENDIX A 50 APPENDIX B 51 AQVAL/l: Part I 1. INTRODUCTION This paper provides a user's guide and brief description of the program AQVAL/l version AQJ. The program infers an optimal or sub-optimal (with regard to a user- specified optimality functional) disjunctive simple formula (s) of the variable -valued logic system VL . y y In this version, the formulas are inferred from event sets (i.e., sets of sequences of values of input variables) where each set is associated with a certain value of the output variable(s). The way in which sets are associated with values of output variable (s) depends on the mode of program operation, as explained in section 2.2. in the description of parameter MODE. It is assumed here that the reader is acquainted with the definition of the variable-valued logic system VL given in paper 1 and therefore very limited explanation of the concepts of VL is included. Chapters 2 and 3 describe in detail the input and output parameters of the program. Chapter k gives two complete examples of actual specification of these parameters. Chapter 5 describes briefly the implementation of the synthesis algorithms (described in paper 2 ) . in order to understand the last chapter, the reader should be acquainted o with paper . Bibliography, in addition to papers containing the background information for this paper (i.e., the definition of the VL and a description of synthesis algorithms 2 ) includes also the complete list of papers relevant to the current status of variable-valued logic and its *-* The name AQVAL/l was derived from 'Algorithm A- applied for the synthesis of Variable-Valued Logic formulas. A synthesis of quasi-optimal formulas from other (non-optimal) formulas (rather than from event sets) is presently implemented only in version AQ9 of AQVAL/l described in paper20. applications . In Appendix A a short form describing steps in input preparation is given together with a list of optimality criteria. The described here version AQ7 is written in PL/l language* and consists of approximately 860 statements. The object module requires about 60k bytes (together with the PL/l library routines about 90k) plus storage for the data, which may take somewhere between 10-150k bytes, depending on the total number of events, number of variables, sizes of the domains of variables, and some other parameters (minimum ~112k bytes) . The complete listing of the program is given in Appendix B. 2. INPUT PARAMETERS AND FORMAT 2.1 Description of input parameters Following is a description of all input parameters in the order and format in which they should be specified in the input stream to the program. The description of each parameter consists of: i. the name of the parameter, ii. an example of its specification iii . a list of possible values of the parameter iv. a description of its meaning. Input parameters are divided into 2 groups : A. Control parameters (specified in the PL/l input data format) which supply an information about the way the program should be executed. Specification of these parameters ends with a semi-colon (;). If any control parameter is not specified by the user in his input data then it takes a default value. The default value is indicated as the value used in the example of the parameter specification. It is adapted for optimizing compiler and runs under the HASP operating system. B. Data parameters which describe the VL function(s) to be optimized and optimization functional. 2.2 Steps in the input specification : I. Specification of control parameters: • MODE Example : MODE = 'IC 1 Possible values: 'IC, 'DC, 'VL'. This parameter defines the mode of program operation that is, it defines how the program should interpret the data parameters (specifically, event sets). Consequently, the interpretation of the output from the program will also be dependent on this parameter. Here we will present a brief description of each mode (IC, DC, VL), and in Chapter k- we will illustrate each mode by an example. (For a more detailed description of these concepts, consult paper . ) For the convenience of the description of MODE parameter, let us assume that in the input stream there are m (disjoint) event sets (step TV, p. Ik, parameter F) which we will denote here as fO, Fl, . . . , F m " - 1 - . (The assignment of symbols F°, F 1 , . . .,F m ~l to the event sets specified in the input stream depends on the OLIST parameter (step TV, p. ll)). -- If MODE = 'IC ('Intersecting Covers'), then the event sets are treated as defining a set of m binary-valued VL functions fj_, i=0, 1, . . .,m-l. A function fj_ takes value 1 for events from F^, and value for the remaining events, specified in FJ, jVi, j=0,l, ...,m-l: where F Is the union of all events specified in the program, i.e. F = F° U F 1 U . . . U F*- 1 The output from the program consists of m DVL^ formulas which are optimized expressions V(f i ) (with regard to the optimality functional A, step IV, p. 11, parameter NCRIT CLIST(NCRIT) TLIST(NCRIT)) of functions f . . These expressions generalize the input information about functions in the sense that they may now assign a specific value (l or 0) to events which were not listed in the input stream (i.e., events from e\f, called *-events, where E is the universe of events) . Formally, a V(fj_) expression is defined as a DVL]_ expression corresponding to an optimized (with regard to functional A) cover of set F* against the set F \ F i : V(f i ) *-C ± = C(F 1 |F\F i ) 1=0,1, ...,m-l In this mode some ^-events can satisfy more than one formula V(fj_), i.e., the intersection of some formulas V(fj_) may not be empty (hence the mode is called 'Intersecting Covers'). Note, however, that each event from F(i.e., event from the input list) satisfies exactly one formula (it follows from the assumption that sets F 3 - are disjoint) . If MODE = 'DC ('Disjoint Covers'), then the input event sets are treated similarly as in the case when MODE = 'IC. The difference is, however, that the program will produce formulas V(fj_) which are now all disjoint (a given *-event will satisfy at most one output formula V(f i )). Formulas V(fj_), i=0, 1, . . .,m-l, obtained in this mode, correspond to consecutively synthesized covers C^ : m-1 . V(f Q ) — C = C(F° | (J F J ) -, m-1 V(f 1 ) — C 1 = C(F L | C U Q U (J F J ) 3=2 i-1 m-1 V(f.) 4- C = C(F X | (J CV U (J F J ) j=0 J j=i+l .. m-2 j=0 J (By C. is meant the union of complexes in cover Cj .) J Each formula V(fj_) is a union of terms, each term corresponding to a complex in the cover Cj_ . As we see, the formulas depend on the assumed order of sets Fi (see parameter OLIST in step IV p. 11). If MODE = 'VL', then sets F 1 , i=0,l,2, . . .,m-l are treated as sets defining one m-valued VL function: f : E -> {0,1, . ..,m-l} where E -- the event space defined as D^ XD2 x . .. xD , (Dj_ - domains of individual variables) Sets F 1 are related to the function as follows: F 1 = {e eE|f(e) = i) 1=0,1, . . .,m-l The output from the program is an optimized DVL-, formula V(f) expressing function f. Formula V(f) is defined as: v(f) = MK^v i^v ...) v (m-2)(T^" 2 V T^' 2 V .-.) V 1 (t\ V T^ V ... where 1-] T7 , i=l, 2, ... -- terms corresponding to complexes in the quasi-optimal (q-o) cover m-2 c_ tl = cCf" 1 " 1 ! u f ± ) m- _ i=0 T. , 1=1,2,... -- terms corresponding to complexes in the q-o cover C = C(F m "^| U F.) m " 2 1=0 x T., i=l,2, ... -- terms corresponding to complexes in 1 the q-o cover c 1 = c(f 1 |f°) Note that the total number of covers C. is smaller by 1 than the number of sets F 1 • • INFORM Example INFORM = 'VECTOR' Possible values: 'VECTOR', 'GAMMA', 'VL'* If INFORM equals 'VECTOR', then events are read in as sequences of variable values. If INFORM equals 'GAMMA.', then events are read in the form of event numbers 7(e) . If INFORM = 'VL', then events are expressed as a VLn formula. • TITLE Example : TITLE = 3 Possible values: any non-negative integer This parameter specifies the number of lines reserved for the problem title (which is typed just after the semi-colon which ends the specification of control parameters). MAXSTAR, CUTS TAR Example : MAXSTAR = 150 CUTSTAR = 50 Possible values MAXSTAR I CUTSTARJ any positive integer smaller than NGE value (see next parameter) These parameters are used to control the speed of the program. Small values of these parameters (e.g., MAXSTAR = 5, CUTSTAR = 3) will cause the program to run more quickly (but may also cause the program to generate less optimal formula (s)) The work of these parameters can briefly be described as follows: A star generation is a multi-step process which at each step produces a set of complexes ('intermediate star'). If at any step an intermediate star contains more than MAXSTAR complexes, then it is reduced to CUTSTAR complexes, selected as the 'best' according to the assumed optimality functional (see CLIST and TLIST parameters) . ■ op) Implemented presently only in version AQ9 described in paper^ . NGE Example: NGE = 200 Possible values: any positive integer (smaller than 2 ^) This parameter denotes the maximal number of complexes which can be stored during a star generation. NGE defines* the maximum size of a list G each element of which consists of k fields: n 1. storing a complex (which is a bit string of length Z d. ) i=l x 2. storing a value (real number) of a criterion under consideration for the complex 3 • and k . pointer to the next and to the previous element of the list. • NMQ Example : NMQ = 25 Possible values: any positive integers This parameter defines the length of a list reserved for storing complexes L^ ( 'quasi-extremals ' or 'best' complexes) constituting the final formula(s). • LQST Example : LQST = '1 Possible values: '0*B, '1'B If LQST = ' 1'B each complex L^ selected from a star will be 'reduced' before it is put on the output list. The reduction means that the references (ranges) of variables in each complex will be reduced as much as possible, providing that 1. the complex will still cover the same number of events in the original set F 1 2. the reduced complex will have the same number of literals (i.e., selectors in the corresponding term is the formula) . See page '8 of the program listing in Appendix (separate report) SAVE Example: SAVE = '0*B Possible values: 'O'B, 'l'B If SAVE = 'O'B, the output formula is not stored. If SAVE = 'l'B, then the formula is stored in the disc file called 'COVER' (the disc file is specified by JCL cards listed with example 1 at the end of this paper) . Individual complexes are stored as bit strings ('binary-positional' notation) in PL/l list format (see Chapter 5), similarly as they are stored during the program execution. This way of storing facilitates the evaluation of the formula. • QLQT Example : QLQT = 'O'B Possible values: 'O'B, 'l'B This parameter controls the printing of summary information about star generation. If QLQT equals 'O'B, no information will be printed. If QLQT equals 'l'B, then the program will print out a summary about each star, the qua si -extremal, and the number of new events covered by it in a given F 1 . LQTEACE Example LQTRACE = 'O'B Possible values: 'O'B, 'l'B This parameter controls whether detailed information about each quasi -extremal should be printed. If LQTRACE = 'O'B, then no information is printed. If LQTRACE = 'l'B, then in addition to the information printed by QLQT, the actual cost of the quasi-extremal and the array denoting the elements not covered by the current and previous stars is printed. • STRACE Example STRACE = 'O'B Possible values: 'O'B, 'l'B This parameter controls whether detailed information about star generation should be printed. If STRACE = 'O'B, then detailed information is not printed. If STRACE = 'l'B each step of star generation is printed. • QST Example : QST = 'O'B Possible values: 'O'B, 'l'B This parameter controls whether a summary of the steps in star generation should be printed. If QST = 'O'B, then the summary is not printed. If QST = 'l'B, then the summary is printed. II. Separation between control and data parameters: Type semi-colon (;) after the last control parameter. If no control parameters are specified (i.e., their default values are accepted), the semi-colon still should be typed. III. Specification of the problem title: Type the title of the program using as many lines as were specified by TITLE control parameter. The title information will be reproduced verbatim at the top of the output page. TV. Specification of data parameters All of the following data parameters are in PL/1 LIST format; that is, a value must be present for each of these parameters in the order specified. There are no default values for these parameters . NSPEC TYPE TYPELIST ( NSPEC' Example 2 'FACTOR' 1 k Possible values NSPEC — a positive integer g 6k (this restriction can be easily removed) TYPE -- 'FACTOR' or 'INTERVAL' TYPELIST -- a list of NSPEC positive integers g 6k These parameters specify the type of each variable which is used in the event description. NSPEC specifies the number of variables which will be of the type given by the parameter TYPE. The parameter TYPE specifies the type of the variables whose indices are specified by TYPELIST. (All variables not in TYPELIST are assumed to have the 'opposite' type.) There should be NSPEC indices in TYPELIST. In the example above, there are NSPEC = 2 variables which are given the type 10 'FACTOR' (i.e., xl and xK) . The rest are given the 'opposite' type namely 'INTERVAL* (i.e., x2, x3, x5, variable indices begin with 1. . ) . Note that The following are some guidelines for selecting the type of each variable. If a variable takes values which have natural linear order (e.g., represent temperature, height, length, grey- level of a picture element, etc.) then it is advisable to specify it as an interval variable ('INTERVALS' type). If this is not the case (e.i ■ • > the variable represents a set of independent objects, relations, properties, etc., i.e. is measured on a nominal scale), then the variable should be specified as a factor variable ('FACTORS' type). It should be noted that interval variables are simpler for evaluation than factor variables. Also, the synthesis of optimal VL]_ formulas usually will take considerably less computational time and memory if variables are specified as interval rather than as factor variables . On the other hand, VLi formulas with interval variables will usually have considerably more terms and selectors than formulas with factor variables (when no restrictions on the variables are assumed) . NV NLEV NV. Example : ^ 5, 3, 2, if Possible values NV -- any positive integer ^ Gh (this restriction can be easily removed'* NLEV -- a list of NV positive integers These parameters specify the number of variables (NV) and the number of levels NLEV(i) for each variable xi which is used in the description of the input events. Since the smallest variable value allowed is 0, NLEV(i) (the number of levels for the i™ variable) should be one larger than the largest possible value of the i^ n variable. In the example above, there are k variables: variable xl has 5 possible values (i.e., the domain of xl consists of 0,1,2,3, and h) ; x2, x3, and xh have 3, 2 and k possible values, respectively. • NCL NE(NCL) Example : 3 5, 1, 2 Possible values: NCL -- any positive integer NE -- a list of NCL positive integers 11 These parameters specify the number of event sets (NCL) which are in the input stream and the number of events for each set (NE) . In the above example, there are 3 event sets, the first has 5 events, the second has only 1 event, and the third has 2 events . • OLIST (NCL) Example : 10 2 Possible values: some ordering of the integers 0, 1, . . ., NCL-1 (NCL as specified above) This parameter specifies the way in which the input event sets are assigned symbols pi, i=0, 1, . .., NCL-1 . The consecutive events sets in the input stream are numbered 0, 1,2, ..., NCL-1. The first number in the OLIST tells which event set in the input stream is assigned symbol f^CL-1^ the ith number tells which event set is assigned symbol FNCL-i . In the example, the second (numbered as l^i event set is assigned symbol F2, the first (numbered as 0) is assigned symbol F , and the third (numbered as 2") is assigned F^. NCRIT CLIST TLIST Example : 3 1, 2, if 0, 0, 0.1 Possible values: NCRIT -- a positive integer between 1 and 7 CLIST -- a list of NCRIT positive integers between 1 and 7 TLIST -- a list of NCRIT real values from the interval [0,1] These parameters specify the optimality functional^ 12 which is to be used in finding the 'best' complex L q . NCRIT is the number of cost criteria which are used. CLIST specifies criteria to be used by listing the criteria numbers in order of criteria preference. The criteria numbers are numbers assigned to each criterion as described below. TLIST specifies the tolerance which is to be allowed for each respective cost criterion. The cost functional is used to select the 'best' complex from a star (a set of complexes which are maximal under inclusion and which cover the same event of Fl but no events of F°) . The process proceeds as follows: each criterion is selected in turn beginning with CLIST(l) . Using the selected criterion, a value is assigned to each complex. 12 in the star. The minimum (MINVAL) and the maximum (MAZVAL) cost of each complex in the star is computed. Using the associated tolerance limit TLIST(i), a threshold UBOUND is calculated. UBOUND = MINVAL + TLIST( i)*(MAXVAL-MINVAL) All complexes whose cost is greater than UBOUND are eliminated from further consideration. If this leaves only one complex, the process terminates and this is the required 'best' complex. Otherwise, the next specified criterion is selected and the process is repeated. If all specified criteria have been used and more than one complex remains, a complex with minimum cost with respect to the last criterion is selected as the 'best' complex (i.e., quasi -extremal ) . The user specified criteria characterize the formula which he wants to obtain. Since the program builds a formula from selected complexes, instead of 'user criteria' (referring to the whole formula) the program uses 'program criteria' which refer to the individual complexes. These program criteria are designed to best approximate the original criteria (which refer to the whole formula) . For example, if the user specifies 'minimum number of terms' as a criterion, then this criterion is substituted in the program by the criterion 'maximum number of events which a given complex covers in the remaining set of events to be covered'. Below are described currently available user criteria^ and corresponding to them program criteria (in parentheses) : Criterion # Notation Description of Attributes (Criteria) 1 t -- the number of terms in a formula (The negative of the number of events in the event set which are covered by the given complex but not by any of the previously determined complexes (stored in NMQ) . The negative is used to have the minimum value for the criterion when the complex covers the maximum number of events.) s -- the number of selectors in a formula (The number of selectors in a complex.) z — sum of the costs of the variables in a formula (z(v)) (The sum of the costs of the variables in a complex: z« = £ z(i) iel 13 z (i) __ cost of the variable x^ which is specified by the Z parameter (see Z parameter specification below) I — set of indices of variables which appear in the complex . ) g -- The degree of generalization (The degree of generalization of a complex: c(E) c(e n F) c(e) -- number of events in the given complex E c(E n F) -- number of events covered by the complex E which are members of the event set F 1 which is being covered.) W -- 'Weight distribution' (The negative of the sum of weights of events of the event set which are covered by this complex but not by any previous complex. If this criterion is selected, weights W(K,J) are specified (see W parameter specifi- cation below) . If the complex is created to cover event set K, then the cost is given by - Z W(K,J) JeE E -- set of events of the event set k which are covered by this complex and not by any previous complex. ) I __ Total length of references (The length of references in a complex. This is the sum of the number of constants which appear in the reference of each of the selectors of the complex (in expanded form) Z i(xi) iel I -- as in 3 above l(x±) -- number of constants in the reference of the selector for the variable xi . ) The relative scope of references (The relative scope of references in a complex. This is the sum of the mean deviations for variables in the complex. The mean deviation of a variable is the average absolute difference between the reference constants and the mean of these constants. That is, cost = Z (MD. ) lel 11+ MD t = Z |avg i - r TCT I -- set of indices of variables which appear in the complex avgj_ -- average value of the constants in the reference for variable xi in the complex Rj_ -- the set of constants r in the reference of the variable x^ in the complex c(Rj_) -- the number of elements of R^ 1 2 13 2 103 113 2 2 Example : Possible values: a set of nonnegative integers which properly represent each event F is a list of event sets F 1 defining the given VL function(s) . F must be completely specified (no default values). If INFORM = 'VECTOR', then each event must be represented as a set of NV (number of variables) integers each of which specifies the respective variable value for that event. The value for variable xi must be less than NLEV(i) . If INFORM = 'GAMMA', then the gamma representation for each event must be given. The example above could be the representation for 6 events in 'VECTOR' format with NV = 3- The following parameters (Z or W) are specified only if the cost criterion 3 or 5 are specified, respectively. They are specified in PL/l data format and each specification is terminated with a semi-colon (;). Example: Z(l) = 2 Z(k) =1.2; Possible values: any real numbers This parameter is specified only if criterion 3 is specified and specifies the cost of each variable (i.e., the cost of xi is specified by Z(l)). Any variables for which no specification is given are assigned cost = 1. In the example given, variable xl has cost 2, variable xk has cost 1.2, and the other variables have cost = 1. 15 • w Example: W(0,2) =1.3 W(l,l) = 2; Possible values: any real numbers This parameter is specified only if criterion 5 is specified. W(K,J) specifies the weight of J th (j=l,2,5, ...) event in the (K+l) s "t (R=0,1, ...) event set in the list F. Any event for which no value is given is assigned weight =1. in the example above, the second event of the first event set is assigned weight = 1.3, the first event of the second event set is given weight = 2.0, the rest of the events are given weight = 1.0, (Note event set numbering begins at 0, event numbering within each event set begins with 1.) This concludes the parameters specification for one problem. Several problems may be run together by specifying all of the parameters for each problem in succession. No parameter values (except the default control parameter values) are carried over from one problem to the next. 3- OUTPUT PARAMETERS Some of the output parameters of the program are reflections of the input parameters . The following parameters are generated by the program (the text enclosed in the dotted line is the actual information printed on the printout from the program) : • Unused core i 1 Example: J AMOUNT OF UNUSED CORE = ^k This parameter specifies the amount of core memory which was estimated but not used. • COMPLEX: ! : . - ; . - ; : — — . -i I Example: COMPLEX: (xl = 2) (x3 = l) (9, 6, 2, \2\ This parameter specifies the actual complexes which were synthesized. Complexes of one formula (or in the case of 'VL' mode, complexes which have the same coefficient) are grouped together under the heading identifying the event 16 class which they cover. Together with each complex is printed a list of h numbers (COV, NEW, IND, TOT) . where : COV -- denotes the number of events covered by the complex in the given event set F 1 (i.e., event set associated with the current decision class) NEW -- is equal to COV minus number of events in F^ covered by the previous complexes on the output list ('new covered'). IND -- is equal to COV minus number of events in F^ covered by all the other complexes in the cover ('independently covered') TOT — is equal to the total number of events in F^ which are covered by this complex and previous complexes in the cover • DELTA ,— — — — — — — — — — _ — — — — — Example: [ DELTA for this set is This parameter specifies an estimate (upper bound) on the distance (measured in number of complexes) of the formula produced from the minimal formula. In the above example, since DELTA is the set of complexes is minimal. Note that if stars are trimmed (i.e., an intermediate star exceeds MAXSTAR complexes) then DELTA is no longer a valid estimate. If complexes are a result of trimmed star, a message to this effect is printed. INTERMEDIATE STAR SIZE r—— — — ___ — _ Example: ! Largest intermediate star size is 5& This parameter specifies an estimate of the maximum number of complexes which are stored in the star list. The NGE parameter may be reduced to approximately MAXSTAR plus this estimate if this problem is run again. k. EXAMPLES OF PROGRAM INPUT AND OUTPUT Two examples of the input and output formats for the program AQVAL/i (AQ7) are presented below. The first example is further illustrated with GLD representations of the formulas produced by the program. Included with each line of the input examples is a description which lists the names IT of the parameters which are specified on that line, a brief indication of the significance of each parameter and the actual values which the parameter assumes in the example. The first few lines of each example of program input is the JCL specification. These cards must be included before any parameter specification to gain access to the program and distribute the program output properly. Preceding the JCL specification must be the ID cards which contain the time and region estimates. The amount of these resources which the program requires is a complex function of the control parameters and the dimension and size of the event sets which are to be covered. Samples of various parameters and the amount of time and region to successfully complete the execution of the program are given in Figure 1 . In general, for small problems, the region estimate must be at least ll6 k and the time estimate can be less than 30 seconds. For very large problems, a region estimate of l80k and time of 6 minutes is probably sufficient. Note that the region estimate must appear on both the ID card and the EXEC card of the JCL. Additional blank lines may be inserted for clarity in several points in the input. They must not appear, however, between any JCL cards or between the semi-colon which terminates the control parameters and the title (unless the control parameter TITLE has allowed for this) . The output of the program begins with the title which was specified in the input. The values of all control parameters, the type of each variable and event set sizes are listed. Then, the amount of core remaining is given, which is the amount of core which was estimated but not used. Next, the OLIST and optimization criteria are listed followed by the actual event sets which were specified. The VL formula(s) 18 follow. Each complex (or term) in the synthesized formula (s) is printed along the DELTA for this set of complexes. DELTA gives an estimate (upper bound) of the number of complexes by which this formula exceeds the minimal formula. If the formulas are a result of trimmed stars (the size of some intermediate star exceeded the MAXSTAR parameter), a message is printed which states that the complexes are a result of trimmed stars and thus the value of DELTA is only an estimate (not an upper bound) of the distance of the formula generated to the minimal formula. The largest star size and the largest intermediate star size are printed. The largest intermediate star size plus the value of MAXSTAR gives an estimate of the minimum size of the parameter NGE which was actually necessary in the synthesis of this set of complexes. After the entire set of formula(s) has been printed, a message indicating a normal termination is given which indicates the successful completion of the synthesis of formulas for this problem. The first example demonstrates the three modes of operation of the program as specified by the parameter MODE. In addition to the input stream and the output generated, the formulas which were generated are illustrated in Fig. 2, 3 and k by Generalized Diagrams (GLD) . The second example demonstrates the use of criteria 3 and 5, the specification of the associated cost and weight parameters (Z and w), and the different tolerance specifications for each criterion. GLD Description for Example #1 The GLD is a graphical model of the event space and the complexes which cover the events in this space. Each square on the GLD represents one event in the event space; a set of events enclosed in an 19 area or set of areas can represent a complex. In this GLD, the variables xl and x2 specify the row in which a particular event is to be placed, the variables x3 and xk specify the column. An event set is a set of squares with the same number. If the event sets are to be covered in VL mode, then the numbers (i) in the squares correspond to the set F and to the terms of the DVL formula with coefficient i. If the event sets are to be covered in IC or DC mode, then the numbers (i) correspond to those events with a function value of 1 for the i^ n function and a function value of for the other functions. The events which are given to the program are indicated in the diagrams by numbers in the squares. The complexes of each type of cover (VL, IC, DC) which were generated by the program are illustrated in the respective diagrams (Fig. 2, 3, k) by open or shaded areas together with their VL-]_ representation. Some observations about these three different covers follow . VL mode: The complex which covers the event set F^ does not cover events of any of the sets F 1 , 1=3,2,1,0. The complex which covers the 2 h. x event set F , however, also covers some events of sets F and F J . Since this formula is evaluated by testing the complexes associated with event sets F^" and F^ before the complex associated with the set F , the events in the original event sets are classified correctly. IC mode: Each complex does not cover any events from any event sets other than the one which it was specified to cover. The complexes which cover event sets F and W intersect with the complex which covers event set F in an unspecified area of the event space. It is thus possible that an event in this area could satisfy two different formulas. (Such a situation could be interpreted as an uncertain classification.) 20 DC mode: The complexes are similar to those produced in IC mode. However, they do not intersect in any area of the space hence at most one formula is satisfied by the set of complexes for any event in the event space. 21 CD U£ c (u cO H «■§ O fH •H Cm CD fH K O £h co O 0) ft ft S D -H Ch co • O -P'— co CD t— -P § o CO fnMD a & s CO CD PQ W K M Time (min, sec v£) cT LT\ H o v£> H MA CM O o O OcT H o •H (30 Si K H H cvi NA H O rH M o en H o OO H eh CO En P o O ON ir\ MA H ma -* o o UA H LT\ ma vD t— o s CO -p o Eh co -P CD co Ch CD O co co • CO O r-H t-^I o o J i-q j o > H O > > > H o o o o o o o o o o o CO OO CO CVJ LfA LT\ OJ OJ MA CVJ CO VD O O CVi -d- D— [— OA O rH CVJ ma UA CVJ CVJ CVJ MA UA Q rH S rH (!) C^ h-l P o <+H tH o CO r -H CD o H ^ • n) n •H s u 0.1 > UA CVJ CVJ ON o CVJ H t— VD O MA MA H rH rH H VO LT\ MA O UA UA MA 22 13 s •H CO -P £> O o > -p o o • •H ,— -P CO tf -eg (D W h3 CD > Pl H H cO ft o a !c x CO OJ bo •H ro ii ■ST II o CM X II i__i CM ^3H X ro 1 1 0k w CVJ II II «H «H x X i__i 1 1 ii II CM H ♦4— H- 23 X X 9 o Kl > O -P 05 > O •P CD TO a; ,-> A CD -P t3 . O ch a o c i o - ■H P rH co fl H CD ft w 6 CD 3 fH X ft w CD •H H CO -d O CD •H C ,3 -H ft co CO -p es o a o •H -P ft •H u o co Q) o QJ ■N y — - j> CO -p ^ CD C»c (U OJ co CD p t3 V CD ■H 3 fH •H •H •H CO CD CD CO CD ft Fh ^— ^ U a.) h ft ft •H CD cO CO CO fH (D _Hr (1! o ft ft o O CD g t> CD H i> (D ft P CD ft -p u CO p o ft -P h ,Q ft a; ^— • > " — Qj o P O CO o ^ — CO o i CO ■d •H CD +3 CO •H CO id ft CO h P CD ft p H o ft £h 0> »s o p o CJ fn P o ^ — , ,£3 CO CO CO 03 ■H OJ CD C CO -H e CD CO ft & J> hi r^ P> 03 QJ r- 1 ;s ft •H o QJ ft -P ^- ft ft cO •H CO w 4-< ■< ' •H ft CO •H CO -P CO a; h h P C P ^1 O o p> !> ca C CD CO ft O •H C ti ca CD CO ft ^—^ •H •H ft ft ca ft CD > •H o P CD p> co CD ft QJ M> QJ S> CD o •H 0) pi ft -p En S cO •H fe H tj CD ft QJ ft QJ ft OJ co H CO fH ft CO. -P P Lf\ O M •• £j CO ft IH p CO ft CD Qy ft OJ c CD i> o ft !> ft w •> CD M l> CO CD -p ft o (D o CVJ CO > O H ft CD p co ft ■H SVh r -H K P p cO •H CJ ft fl P H CD ft P> CO o fc a QJ ft Sh H O CO* cO d Eh CO QJ CD CD m QJ CD •H ^ ^H •H o -P fn ft ft co fc» P "Cl ft ft P P CO ft H ft •H CO CD ft - ft 53 P CO h CO ft CO co ft 0) ft ft CD ft 3 CO S OJ O H •H ^ p H Tj MA EH -H O U S ■H > CD .. QJ u -H ft o a ft CD w o CD 0) CD C CO ft ft aj QJ CD CO ^ CD o ft XI [> ^ ft ft fn EH CD ft •p p 9 H ft 03 P> > J=f ir> P lO CO h- 1 Tj =fr- a ft c co P> ft • • ft ft 1 -1 ft QJ o o o w CO ■H EH CO H ft ft o ft o u ^ © © © 0© © © C3A ft a) H ft H O 3 m « o CD II IU rsl ►H CO a ^ x -I co eo ii •• o. o to «J •-• II Q -J » u r- uj _» Ul a ii u » «/■ n ai h- i/) > M o to > to ♦ a. UJ cj u a II c a £ O h UQ air 2 do ►-i fc.i i_> -i or a 2 ilci a u. —• X UJ l/l > v< uj t- > c • >• l/l V) U« •>.»v N» ^ ^. * * * * * ft # * # * * » •ft * » * # * ■ft .. « o « e» # ii * a * ^. * »- * tA * t- # —i » «_; # o * o * m « ii * a. * mu ♦ » II c # II UJ m * UJ _J II * Q »- u « O »-. CD * 5 K 2" * • * _l * > * in * z * o * t-l # »- # r in in (M *nj rj e\ rr> rg ^ «4 o o o m O m ~ ■< to o _) > H II < - UJ h- • * a < » * u a * * X • * ae * • UJ * * o > » * «7» o ♦ * u # * # * UJ * # # \r\ > * * (M O < , • * H- # »* u o # - # * to # a UJ ■ ♦ ~ * X co # * UJ * Z * ac -J u ♦ o * o _i < * «-l * IL •»« a # 1- * X K * < * Q <*• * et * UJ 1- ee * UJ * 1- H» «* * Q. * < i- * o * U z «o c*i * # o UJ * U. # _l X X • * O * -J »- o " • * < ** «M * UJ * 3 ♦ o * UJ o a # o * u o « x ♦ mt r4 «4 » # a. * • t/J o • * « * R H IO • * -J * * « u < uoe * » * u IX »- UJ * UJ * 1- UK •t * _j * UJ < z Kt to * Q. » CD o U. _. (O * X * _J 4 * < * -J > > + _j * X » _J * co co o * UJ • « o • * X M oo M X • • 3 UJ UJ UJ u • # o O ix a _l < * * o z UJ UJ CO UJ • * o *— > > ■< • • « 1-1 X oo « oe » * • • X *-* O <->o < s • * lO cc II UJ UJ > * • •— I 1- a a a • # UJ < < «» X UJ • • ** UJ l_> u M * • UJ ce « to to < u. * " * *^ u a. ec UJ UJ UJ ►i IO * . # o u. 1- LJ -1 -J N «->»- * ♦ UJ 1- CO CO ec uj z **imimii a. u. UJ K > a: at _l UJ IM to < < CO to to * o UJ to to > > ** UJ 5 t- o o oe > UJ < or O h- z z < UJ >«o o < < *— •— • > -J uj to o ♦- H X X 3 < OHNm^ -J to IX o o u. u. U. _| _l UJ O -J -J o o oo < X U u. -J _J 3 < o o ct OE ac UJ X a t- u. u. UJ UJ UJ u *-* i- 3 CO co CO < X a UJ LU X X X Q. < o z X I 3 3 2 IO » -J *— t-l- Z Z UJ ac O Q UJ to 3 O o <\j m •-• N^no O O O O plHriH NOno O ONN rn o o o to o O fJ »H -* O O O wt n * • * ^ <\j (»> «r »-« o ** «">j »< »^ »^ , Of^»4^ IMmNK) RHMH «*■■ H 5 z o o o o o •-• Z Z 2 Z a- oi-i- O z z _ w UJ LL' LU UJ at u. > > > > UJ UJ UJ UJ i— •- 1- I- f~ »o to »— to to to to h a«N | < -I <-)-!_/ O _! O ^ul- -J jj £z- - HUM < • • ( * • • • t o ou o o o o o z zz Z z zzz MM •*» -*l- I- K t- rgi- k »- l- z zz z z zz Z — UJ UJ UJ UJ "•UJ UJ Uj UJ u. > > > > u- > > > > UJ UJ UJ UJ uj uj uj uj to to to to -J 2 u u & o *• O r, o z o z ♦ o Z «r. Ui * z z > o u > o ♦ u UJ X UJ -I UJ UJ X UI -I UJ z UJ «*> Nonon Ortnrto «m •^•h«m«nj(m mwmi'ifl »* o NONN onnqn m NNNNN O O O -* -i V} UJ > UJ > . o U «/) * UI X — UI o u < X ac p4 « H *? V) «/> UJ < H • -1 « u tm a z UJ »■« x ac V) UJ £ " « « II ■ • • • • • o oo o o zzzzz n ■ n ■ h ^ INJ •♦> .*• lf> • t • • • oo o o o zzzzz »- nt-Ht-t-t- ■* h- K I- (_ t- z zzzzz zzzzz UJ - LU UJ iu m UJ — UJ U-/ UJ UJ UJ > U->>>>> !*.>>>>> UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ UJ a X 8 < o o H X O H X K UJ -J a. x o u ac ui Z Z UJ to u V) < « X X K 5 K K o t/i u. 1- < H UI _J o UJ a o < _i • • UI • X X > O u UI X o u ac < o z -J X O UJ U. -I a UJ X X o »- u » m x o ■ x UI X o u. < »- o < X ec < «/> UJ < O UJ z a ui to UJ o ec Z UI X X IS) UI o cc UI X < -J o z UJ UI X ac UI O UI X UI _J a x o a ec < o UJ X 0C UJ o X o -I •• -J X O UJ U- _l a UJ X X o i- o o v> O •"* X ac o H- Z UJ UJ o < X 29 u * m uj m > o * o to CO < u z > Ui «/> »- z UI X UJ -J UJ a < x ec < to UJ < •-• O UJ X ec UJ UJ to X UI K 19 ec < UI -J > o UJ u X to UI •» X • to UI • >- _i • z a * UI X X a o UI u -J UJ < t/> • < *- <0 « M • V) K UI UJ . z t- •■% to o a u •■* « N l/l < ►- u l—l X < II X z — •* 1- ac te* X « X ^* ee t- ec £ o u. •O UJ M »- 2 < to -I O •- UJ < -1 H _l 19 X «J X UJ a ac O UI o < O u. -1 a • -J Z UJ X • UJ * X o • X • H u • »- • 30 « a -i UJ > < «/» o u M H N < UJ H * * O < » * a o * • z * # CC * • UJ • # o > # * C* o * * u * * » * UJ * • u> > # * fM o < # * D- «/> * * * * »- * * to O * * l—i o o » * * # a UJ K • # z CD * * UJ * » cc -J o * * o -I < * • u. »-• ct * * X »- * • o * • # HI K oe * * H i-« < * * < t- * * u Z Vi f> * - * o UJ * u * _l X *: * 1-1 * -J K u * - * < »» CM * » 3 ■ # II # UJ O a> * * CJJ o * LU * < -4 •H * O * a • o * %n o * z * • * ■ i l/l * * _J * * — * UJ UJ co< * * •e u a > • » » u < oa «r * * o a h- UJ * UJ * H OK M * _l * UJ < Z r« co * a * CD O u. •* t/> » Z * _l < * < * -J > >• <■ .J * X * -J it CO CD U * UJ * ** U • ' * X •-• Q O •• X * » 3 UJ UJ UJ u • * o O ec ec _i < * * o 2 UJ UJ co UJ * * o «-■ > > < • * *H X o o <— • ec • « x O oo cc o • • «-• < u, * * oo a. H UJ UJ > * ♦. to* »- a cc a * • UJ < < «»■ X UJ * • ^ UJ u o M * • UJ «/» < U. * * «■* o ec 01 UJ UJ UJ •x «/l # » U u. t- CI -J -J M ut- • * UJ »- as a> ct uiz<«mmin tt CD ct u <.<■ »/> o a. uj o < UJ •— t *■— » UJ u» «/> > u. UJ t- > a or -J UJ l-a «/> <«i CD «/> «/> • o M «/> > > < -J ►- UJ «/> M M UJ z h- (J O oe > UJ < or O 1- z z < UJ > i/> u < <. »* ** > -J UJ ' o r- H z X X < o •* «m f> * -1 «/> IX o o o U. U. _J -J UJ o -J -J o oo < z u u. -1 -1 D < CO cc ae ae UJ Z cc »- u. u. UJ UJ UJ u •— t H z> CD CO CO «l X a. UJ UJ z z z a < o z 1 1 O ? s «•> z -J •-• ►-»- Z CM o O 3 U. O Z m o o o OMm-' oo o o ONH»< OO O »H I I I I •-< r\i «n ^> NHKlO NOnO OONN O Z t t t • O O O O o o • •-• zz z z ru-* O H -» a oi- t- »- (- -< O -^ «M O -^ -^ — t MM f< oe »~ -~ ^_ •- *^ «_ *_ *_ - HI Ul uj UJ — UJ Uj UJ UJ u->>>> u.>>>> « a: — • ■— I < > -I -I O _| z z z z UJ Uj UJ UJ > > > > uj uj uj uj NlflNfl ■ * • ■ ^ fM f\ ♦ • t t • o o o o z z z z MH- »- *- K z z z z >— UJ uj uj UJ u. > > > > UJ UJ UJ UJ V) Z«_> K JTN /"\ ■a 0) to CD o -p 31 a z •€ UJ Z > o u p * o z * til ^ z > o + u (A o z Ift ■x UJ z in > s u> CO 5 t/> 5 UJ -I ai uu -J UJ Z o a. p4 */> to «/> «/> VI < UJ • < -1 t~ _l o U z o z M $ ►^ V) IX •yj Z UJ »- £ UJ z ill > ** > UJ 1- UJ UJ 1/1 UJ X UJ X NOnon O »H (f) f> o DC UJ > O o DC < -1 UJ »- DC Ul > a hh nnn wnn nui u «/> UJ I o «/> Ul X «* • in X 0* * UJ * t- UJ * OMONM O rj O UJ X t/> Z at 5. t/> X o «/> « Ul Q I «/> Ul o < < o o o u. UJ X o ■ X a x o o i/» «/) X OC O UJ o * * LJ I 0C O a. < UJ X i/1 CO to I- z > UJ > o o I/) Ul X -» Ul -I ft a. X N o x to — UJ a: »/> a Ul x 1/5 o _l X O UJ o o o a _ * -i UJ I ►- •» • «/> * 1- * z • UJ X o UJ -J UJ «/> •-. r» UJ «/» o «/> < •-» X X H cc < K K O «/t U. K < K Ul _J o UJ ec a < _i • • Ul • X • H 32 6 « a m o z m a z ir\ ill U> > o u tl> > o •« u m to «/> fe UJ X UJ -I 111 <» wi o < X ce * < ►- to «o to UJ < to UJ -J UJ 0> a < x < UJ at O UJ X at > UJ UJ •o UJ lO 1 UJ X UJ K ts r- o ec oc < CC < UJ _J UJ _i > > o UJ o UJ U X r- u X v> UJ •• UJ t» i X mm * «/> X • .!/> UJ • t- UJ * . z _i r>t * z -J • Q. * UJ a. # UJ X O Z z z a o UJ u o Ul o * «M _J UJ u mi UJ ^ X «/> iC «/> • < M -* < M' CD * •-* *4 »■» * UJ UJ V) UJ t Z H- «« VI t- ^ to o K u ae a •-• « CM to < < m tO < t~ o M X u ** X < H I M X z «4 w* K Of M m »-. ae *■* X < X « z a f- »■» cc H ec g o u. VI z £ V) UJ •— « t- H4 f- x < «/> z < l/l -i o »- UJ a ¥- UJ $ _l •• _J O _j •♦ _» iS -1 X UJ or _i X UJ ec 8 o UJ o < o UJ O < u. -1 a • -J IL -J a * -i Z UJ X • UJ UJ z • UJ • I o • X z a • z * ¥- o • K K o • K • 33 O «/> * * * - * * O # * o * * • • * • * lO # » — * » • * z * * o * * « * * »- * * * # * et * * LU * * Q. * * O » * • * a- * * O # * # * uj * * o * * o # * x * o u a ■ a < UJ r- O < o Q X a. UJ o > c*> o (J UJ m > fM o < r- to H- •/> a ■— u o o UJ ■ X CO UJ et -J o o -J < u. t— ct • • • * • * • * • • * fH * * « * » * * * * UJ • * -J * * a. » * x * * < * * x # * UJ * * * * « * * u z to O UJ -J X * -I K U < «-■ a UJ o cj u o < ^ a. CO o m < UJ z o Q UJ GO -I St — o X — a O o o z o «-• z ct o n to -J Ct > Oct r- Ui Or- > OO at a. a. u — uj o Uj O. < — o ct O u- I- UJ *- ac cd a. o O < UJ IL UJ (_ > isl to O m V) UJ to M < et o r- o < < o y- n x -j to ct -I UJ o < r (_> a. a < uj x et t- o •-> »- a < X O. a. < o z wo X -J M X o to UJ CO cu << ct et > > o o z z OO ct O u. UJ > OO u. u. UJ UJ X I u. O et UJ 03 X a z u. o CO X i to to I o ct o u. uj z ^ 4- ir\ m in ct uj to> UJ Z UJ >«o UJ to «o«Nm^ U. J OO ct at cm UJ O o «o a z a U- O a o O « a ■■•« »* cm « ■♦ ^ cm n «*■ i-4 > > > u. ■ NUN < UJ UJ Uj UJ K r- K K »- to to to «■» to «o to to to ■— a ■— ►-> I < < _j u _« -J o _i _j O Z <_> »- -J t_> u OOOO OOOO zzzz ^zzzz fc r- K K ZZZZ NKI-KJ. ZZZZ UJ UI UJ UJ — UJ UJ UJ UJ > > > > U. > > > > UJ UJ UJ UJ UJ UJ UJ UJ to to « 3U O *\ a z o z ■*■ a z *• > o u > o u > O V) u z Ul z UJ -I UJ z UJ Z Hi o < Z o Z eg to t/» U z «/> to UJ < UJ «*> Nomon o t-4 <*> m o «VJ H^NMN r\ tr\ <*> «*> ««> "4 ON OM N O M P" o "->>>>> U. > > > > > UJ UJ UJ UJ UJ UJ UJ UJ UJ uj UJ 1/) «/) «/> to « < to z UJ > UJ UJ a UJ > o u a x. a u < z o u. UJ z UJ Z to UJ o to « x o a X UJ z »- •• • to * »- # z » Ul z o UJ -J UJ «/> <-« r» t to CJ l/> < •— • z z H oc ^ oc »- O l/> U. . h- ^ to H- Ul -J o UJ a o < Ul > UJ UJ z > o u o (X X — Ul 0l z o u X a. z o o on * O U H i>4 «* X Utf CD Z »■* X o -I • • -1 X o Ul u. -1 a Ul z z o H u o to (/) z I- QC o u. z UJ Ul -I UJ a < z to Ul o oc UJ > O u o X t/> ««. Ul t- «n a < OJ w R « •* X ** o X ot to o a. UJ z O uj Ul to •- ■* Ul V) to z < z a UJ z I o O UJ a to o ac < UJ z 35 6 « a Z tr> o m u m z UJ UJ x hi _i UJ CNJ a a < < z i m ae ♦ ae < «/> U) in «/» C/l t/> < UJ < Ul -J K -j 1- u u < >-< z a z o •-* UJ z ** UJ Z CO ae «/> ae ►- UJ H Ul z ►- Z »- UJ z UJ Z > w > »-« UJ fr- UJ fr- UJ iz) UJ iz) z UJ X Ul H O ae *• 19 ae a « ae < UJ _i UJ _j > > o UJ a UJ u z *- u Z fr- l/> V> UJ •• UJ •» X ^ * t/> X *% • «/> UJ • H UJ • fr- -1 «M * Z -1 r> ' » Z 0. * UJ a • UJ z o z z * z o o Ul a i*i o UJ u ■ (V ml Ul u X ml UJ z X m z to • < *» M pH « M ml • ** « • «/> K «/> *% K UJ UJ UJ UJ z ¥~ ^ t/> K mt «/> u a o ce a «"« < < « O «/> 4 fr- u •— » z u Ht X < i z I X z •H — t ►- ae m» >4 1- ae M X < X « X «» K H> m* ae fr- ee 19 O «/> o o *S) UJ Z u. 1- z u. fr- fr- X « V) X < «/> -j o H UJ a t- Ul < -1 •• -1 (9 _i •• -I O z _J X UJ ae -i X UJ ae ae o Ul a < o UJ a < o u. -J m. • _j u. _l Q. • _i z UJ z • UJ Ul Z • Ul • z o • z z O * z • ¥- (J • t- ►- o * fr- • 36 -d (U ■H ft •H O (U ft to P o <-. S3 ■ O -P CD P CO SHI) « d CJ Sh CO .H CO ft H ft H r-l J " O 'd ; ■ S3 CO 4=- CD X •> a CD O O CD CO 1- •* CD 10 CO o to •r i C o .:: •H CD K rl i - CO o -I ■ •H -p Ih 0) H X CO S3 43 CD -P CO CD CO ?H •V CD to to o T< ,c (0 > CD ft x CD t> -d rl •H CO s—^ O .-.; > O CO CD CD -P Sh o co •H o •H -P •H ft CD -p CO Fn t> > CO ■H s •H O y Sh -H o ft •H rl CD •H CD CD u 43 <2 Sh CD CJ Sn "■ K> Eh CO :■: ,o rd ft •H P CD ft-G CJ t Eh X O ft -=fr ft ft -P ^— *. CO o LT\ CO *—-<: CD to -3" -P o 1J -p •H S3 to £3" ^ t— ! H ft ft a) CD 43 CO ■d ^3 to H OJ 0) ai CD O ft c & H lt CO -P co bO CD 4^ o O > O •^ P? O 0) CO ft N^l !>» 43 ^ u CJ •H S3 <*H ft •H h ■H CO ft -p • #\ •H CD >s 4^ •■ ; CO M O o >- -p CO H •H LT\ a) S3 co -d in J> H CO M rH EH CO CO r) f> OJ -P S3 CD o i-H O M CD CO CD CD CD O -P i> CO >5 •H l> CD O TJ o CO Eh O OJ r-l ^ o o CJ ft •H CO Ch 0) i> 43 ■P H •H H *" -H- a CD -p co •H en tJ o 4J H Sh J., Eh CJ > (U ft • ■ a o H O CD CD Cu CD 0) JJQ CD t> co L T ! CD CD •• P Tj H 0) • > rj rH rH rH O ft 43 f— j r) •H CD s t> 4: CD G H CO ^3 EH 5 O O o S CO -p JSh CO bo r( CD -P 02 CO CO HI -P W -P -P -p ft ft H P3 rH : - ^ ft ft O u r3 Eh CO -p CD -p S3 CD CD > OJ , x. ja •H *m x co y -P 00 P P CD W CD • £ 5.- c • 43 ft co CD 3 bO OJ bO CD ^ •H ro, • •ri y CD CO a, x ... 0) X 43 CVJ CO * _ - 3 CD P - TJ •-i S3 -P H CD ir\ CD C CO :: « OJ r. =tt r( CO CO CO P Tl S3 0) S3 S3-* fn O co J2 O to k- • 43 r( rH U 43 CD r-t P -H rH O •H ft u -^ <1> hrl« CD O O Z JO CO 3 "« CO ttH > ^TJ P a; -d rH c CD S3 CO 1-) CD co •• CO > CD rl 43 S3 •P *H CO 5 > CD CO Sj 43 CD p p 43 CD P -H -H bO +^ a k V o ta •H V o u P CD g to to 0) S > -H CD 43 S > co s CO CD Ch co p M r( CO CO ft ft G © © © © W)J © © © c x ii a CO a < w x n o CVJ -. CVI ? 0- O K . <3 Q CO < a w U Q Q II QQ CO a. ii o u, D m Q CO II M NJ •-I 10 « m Q 00 II o w a -j ^ ca u. II 2 U. o UJ en <-> -J re jj a d. x Ul lo Ul (- >. v <0 CO ^ N N ^ N s a h Q CO 10 CVJ >- II N X £ V N3 # * * * * * * * * * * * * * * * * * * * * * * # * * * # * ■* * * * * * * * CVJ * * * * # * * * * * » * * # * * * * * * * » * * * * * Ul * * -1 * * a * * a * » x * * uj ♦ * # * # * # * * * # * # * * * * * * * » * # * » > E UJ f- 2, m -• 10 < • to • . o ~ a ** ■ • R < UJ 1- Q < O o X ec UJ * • o > * * m o • # o • • ■ • * * * * m s * * cv o < * * K l/> * • . • * H- * * to 3 • * i— i U o • • * * a UJ » • * r CD * * UJ * * ec _» o » * o -J < * * u. "i ec • * 2 1- • * # o ♦ • « UJ f- ec * * h- « < * * Z lO m * * O UJ * * _l X *: • * -1 H o * * < <■* M ft ft 3 ft ft UJ o a * * o m ft ft < p4 M * fM # a * * to o ft ft ft ft H ■ iO ft ft _l «*• ♦ » * UJ UJ < ft ft z <_> a > ft ft o < O ct m ft • o a »-UJ • * ft- ut- H ft ft UJ ft* to ft ft -j < * UJ * -< >•> »f» ■J ft _l * -j * co cd u * a. • *— • o ft X ft z •-« Q O • •• X * < * § UJ UJ Ul u ft X • o ex > < ft ft «M X oo ** ec ft ft X o oo a a * • ft* ' «« u. * # to a R UJ UJ > • * •■* H- cc ec a ft » UJ ««» «r X UJ * • ^ UJ U <-> ft*. * * UJ cc < 00 «0 < u> • * mr o a a UJ UJ UJ ft»lO • * o u, ►- a _J -J R oe- # # UJ »- CD 03 a. UIZN^N CC CO ec u << to O a uj O < UJ ** fc—4 UJ U. u> UJ t- > a. ac -j Ul ISJ 00 <«s CO to «o * o »-• to > > < _l K ■ UJ to *-t *—t UJ Z t- oo ec > Ul < a O t- ZiZ < Ul > IO u < < —• *~ > -j Ul «o o r- R X ■X 2 «* 0-lfM _J to a OO u. U. U- _l -1 UJ O -I -J o O ou < X u u. -J J 3 < oa Of cc cc UJ X a. 5 U.U. UJ UJ Ul u ft* t- CD co CO < X a UJ UJ X X X a «* O z XI 3 D 3 to X -J ft* »-»- Z Z Z OO oo ♦ ♦ UlUI o> o 0» O o» o m o * o • • R ■ »-> Ul o 0» O OO O O IN o o ir. O t . O —UN • •"> R • R *? -« — ■ • • •♦ 0*-o o t in o oo oo o ♦ ♦ o UJ UJ • o» UJ o o* tr o c« 0> o o» 0- o-< a* • • o -4~* t rsi R ■ *■* «« N «i4NJ HNn4/ *-t oo o -j o ° ♦ ♦ ♦ UJ UJ UJ CM oo o O z • • • • t • • UJ ooo o o oo oo o o o o oo o t M z z \zz.-z.*z r o OOO f-« h- — o t- — * ^ #« o OOO Q. o t- *- "*£££ NK o » • • O z z z o <-4*4<« mm UJ UJ — UJ LU UJ UJ ^* UJ • cc u. > u. > > > > U. > -4 R R R R ■ R R < Ul Ul UJ UJ Ul UJ Ul «««««« H- KhK K to to to R p4oj m to m tO«o to to to «o 4m » » ft »-■ Cmm 1 < < < rm O.* »M _l «J -I -J o -1 _J _J •^ o ZoK -I u (J u ►w X 31 » & o m G - o -• IM O z -• oi m UJ a-l z > u > o u o -• u UJ z UJ -J UJ z- z UJ lO z UJ z UJ -J Ul r» f\j a < a < a < z z X ** ■ ae Z C4 UJ > Z UJ > UJ UJ UJ UJ CO Ul 1- VI Ul 1- to UJ ae < X oc UJ > UJ u DC -J 1 1- UJ > UJ o ae < -i X 1- a. UJ > o UJ o UJ a UJ u Z o X u I tO — . H- Ul »- to t- UJ •* UJ •« UJ ## X -» * to X * to X « to UJ • 1- UJ * 1- UJ # ►- z U) -J o ^ • z _J * z -J «^ * Q. * UJ a • UJ Q. « z N P>J z z z z Csl z UJ -j Ul o u z X ■ X o to UJ _J UJ o o 2 o to Ul -J UJ o u z / II «*■ X o to * < " ^- <© < »-• < ►»• o (M * * to UJ ™ £ to UJ IU to UJ 1- Ui 2; »7- fVJ ^ to K ^ to ^ m* m* to o ae a B U ae LJ ^ -< *SJ to < < o (/I < < m mf to < >— X 1 C>J X z z ae < u -* H X •-4 z X ae < u P>J M X H . X X H X ae « — 113 110 — * * — 115 complex 1 complex 2 complex 3 complex k criterion value 1 criterion value 2 criterion value 3 criterion value k k2 5 .k Structure of the program The first set of PL/1 statements (approximately 150 statements) allocate the proper storage for all global variables. The input parameters are read and their values echoed on the printout. The type of each variable is recorded in a bitstring (TYPCOV) where 'O'B in the i th position indicates that variable Xj_ is of type INTERVAL, and '1' that it is of type FACTOR. The events are converted to bitstring representations as described above and loaded into an array E so that each row of E corresponds to an event set, and each column corresponds to an event in each set. The next set of statements (approximately 40 statements) controls the selection of event sets for covering. The selection of these sets depends on the mode of operation of the program (specified by the parameter MODE) and on the order in which the sets are to be covered (as specified by the parameter OLIST) . A row of the array E corresponding to the set of events to be covered is selected and the array FDOWN is loaded with the set(s) of events (and complexes, in the case of DC mode) against which the covers are to be generated. In addition, two bit arrays F1N0MQ and FBfOSTAR are maintained. These arrays are in a one-to-one correspondence with the events which are to be covered (the columns in the selected row of E), (the array F1N0MQ, indicates elements which belong to the set E-, and the array F1N0STAR indicates the elements which belong to the set E^ in the algorithm A presented in Figure 1 of paper ) . A one ('l'B) in a position of F1N0MQ, indicates that the corresponding event of E belongs to E-, , i.e., it has not yet been covered by any quasi-optimal complex (L^) ; a one ('l'B) in a position of F1N0STAR indicates that the corresponding event belongs to E , i.e., it has not yet been covered by any star (i.e., by any of the complexes of previously generated stars) . k-5 Next in the program are the loops controlling the selection of the events to he covered according to the arrays F1N0MQ, and F1N0STAR (approximately 50 statements) . In the first loop, an event which has not been covered by any previous star (i.e., events of E p ) is selected according to FINOSTAR. A star is generated for this event and the 'best complex' (quasi-extremal L q ) is extracted by calls to the procedures STAR and BESTLQ,. The resulting qua si -extremals are stored in a list MQ.INT along with a bit MQ.TRIM which indicates whether this complex was a result of a trimmed star or not. Once the set of events represented by FINOSTAR (i.e., events of E p ) has been exhausted, the process is repeated with the set represented by F1N0MQ (i.e., set E x ) . The number of passes through this second loop is calculated and stored in the parameter DELTA as an estimate of the distance of this set of formulas from the optimal set (see equation (12) in paper 2 ). The resulting set of complexes is printed by a call to the procedure PRCOVER. Next a new set of events to be covered (row of E) is selected and the array FDOWN is loaded with new sets of events (and complexes in DC mode) against which a new cover is to be generated. After all event sets which were to be covered have been covered and the complexes printed out, the next set of parameters are read in. If no more parameters exist, the execution is stopped. 5-5 Basic procedures in the program The remainder of the program consists of a set of procedures each of which performs a specific task as is explained below: STAR — This is the procedure which computes a star G(e|FD0WN) of an event e selected from the given row of the array E (representing event set to be covered) against the event set (and set of complexes in the DC mode) represented by FDOWN. The star is generated in steps, each step corresponding to one element of FDOWN and producing an intermediate star. In each step, first the procedure kk MIX is used which generates an 'elementary star' G(e|L), where L is the selected element of FDOWN, i.e., set of maximal complexes which cover e and do not cover L. Now, the last intermediate star is multiplied by the 'elementary star' G(e|L) and absorption rules are used before yielding the new intermediate star. The process ends when the last element of FDOWN has been used. If any of the intermediate stars have more elements than MAXSTAR, a procedure TRIMSTAR is called. MIX — This procedure produces the star G(e|L) where L is an element (event or complex) in FDOWN. The stars produced by MIX are represented by the arrays INTP and POSP. Each complex of a star of an event against another event or complex involves only one variable (i.e., has only one literal), therefore in this type of star, only the values of one variable must be given in the representation of a complex in the star. In the program, INTP(i) is a bitstring which represents the values of the variable whose index is stored in POSP(i) (only non-empty complexes are retained) and NUM indicates the number of non-empty complexes which were placed into the star. The format of each of these complexes produced by MIX depends on the type of the variable which generates the complex. The procedure is as follows: the complement of the literal of the event or complex of FDOWN against which a cover is being generated is computed. If this does not contain the value which the variable assumes in the chosen event e of E then the complex is thrown out (i.e., because it is empty) . If the type of this variable is FACTOR, the complemented literal is used as the literal of the complex and loaded into the next place of INTP. Otherwise, the interval of this complement which contains the value of the corresponding literal of the chosen event e is placed into INTP. In each case where there is a non-empty complex, the index of the variable, which corresponds to the literal in INTP, is placed into POSP. TRIMSTAR -- This procedure is invoked by the procedure STAR when the size of an intermediate star becomes greater than MAXSTAR. It reduces the star to the CUTSTAR best complexes according to criteria 1 and 2 defined above under the parameter CLIST. (These criteria measure the number of events in the set to be covered (indicated by F1N0MQ) and number of literals in a complex, respectively) . NUMLIT -- This procedure counts the number of literals in a given complex . ^5 LCOVER -- This procedure counts the number of events covered by a given complex and not covered by any previously chosen complex (i/l) (i.e., the number of events indicated by F1N0MQ, which are covered by the complex) . BESTLQ -- This procedure uses the criteria specified in the input to select the 'best' complex (quasi-extremal L q ) from the given star. The selection process is described in section 2 (parameter CLIST) . CRITVAL -- This is a function which returns the value of a criterion applied to a given complex. The value which is returned by CRITVAL for each criterion is described in section 2 (parameter CLIST) . RANGE -- is a procedure internal to CRITVAL used to determine the number of values of a variable in the given complex. 0.0 is returned if the variable does not appear in the complex (i.e., the variable accepts all possible values). VARIANCE -- is a procedure internal to CRITVAL used to determine the mean deviation (described in criterion 7 in section 2 under the parameter CLIST) of the values of a variable in the given complex. 0.0 is returned if the variable does not appear in the complex. PRTSTAR -- prints out the elements of a star, PRTQLQ -- prints out trace information on L<1. READVEC -- reads input events in vector format and converts them to the internal bit string representation. READGAM -- reads input events in gamma format (i.e., as event numbers) and converts them to internal bit string representations . CHECKE -- is an auxilliary procedure used by STAR in the process of combining stars (application of absorption laws) . CKBE -- is an auxilliary procedure used by STAR in the process of combining stars. 1+6 REMOVEGN(REMOVEG) -- is used to remove a complex from the star during the generation and selection processes. GETG — obtains an element of G from the free list for use in a star. RETURNG -- returns a list of elements of G to the free list. EINCPLX -- is a function which determines if a given event in the set to be covered is covered by a given complex. PRCOVER -- prints out a cover in a readable format. FRECORE --is used by the initialization procedure to determine the amount of available core remaining. Note that it is dependent on the method of implementing pointer variables and on the layout of OS/360 control blocks. 5.6 Remarks about other related programs The program AQVAL/l (AQ7) is currently the main and most developed program related to the computer implementation of VL-. . Other programs which are currently available include: • OMNIBUS -- A program which can: A. Evaluate a given VL-j_ formula (in which complexes are represented as bit strings) for any given event . B. Quantize a given set of variables according to a set of given thresholds. C. Select from the original set of events, subsets of events such that (i) they can involve only certain variables (out of all available variables) (ii) they can constitute any contiguous subset of the original set of events. (iii) gather statistics of performance of VL-i formulas used as classification rules*. / This last function is implemented in an extended form in the program CONFUS (see next) . ^7 UNICLASS (AQ8) A special program developed for the synthesis of VLj formulas from event sets which is able to create exact or approximate (with a user specified degree of approximation) covers of a set of events against its complement . 21 • AQVAL/l (AQ9) A program which synthesizes quasi-optimal DVL-. formulas from non-optimal DVLi formulas . CONFUS A special program implementing various methods of evaluation of families of DVLi formulas and printing a confusion matrix which relates evaluated values to the correct known values for the formulas (appl: for testing formulas used as decision rules for pattern recognition problems) • HISTOGRAM A program which prints a graph which illustrates the distribution of frequencies of individual values of a variable in an event set. (appl; determination of thresholds for quantization units in designing learning and testing for pattern recognition problems) • SIM1 A program which detects symmetry in (incompletely specified) VL]_ functions . (This program is still under development.) kQ REFERENCES 1. Michalski, R. S., "VARIABLE -VALUED LOGIC: System VL, , " 197*+ International Symposium on Multiple-Valued Logic , West Virginia University, Morgantown, West Virginia, May 29-31, 197^* 2. Michalski, R. S., "Synthesis of Optimal and Quasi-Optimal Variable-Valued Logic Formulas, " submitted for presentation at the 5"^ International Symposium on Multiple-Valued Logic, Bloomington, Indiana, May 1J-16, 1975- 3- Michalski, R. S., "On the Quasi-Minimal Solution of the General Covering Problem, Proceedings of the V International Symposium on Information Processing (FCIP 69) , Vol. A3 (Switching Circuits), Yugoslavia, Bled, October 8-11, 1969 . k. Michalski, R. S., "Automatic Synthesis of the Quasi-Minimal Multiple- Output Switching Circuits, " Proceedings of the VI Yugoslav Inter - national Symposium on Information Processing (FCIP) , Yugoslavia, Bled, September 23-26, 1970. 5. Michalski, R. S. and Z. Kulpa, "A System of Programs for the Synthesis of Combinatorial Switching Circuits Using the Method of Disjoint Stars," Proceedings of the IFIP Congress "Jl , Yugoslavia, August 23-28, 1971* 6. Michalski, R. S. and B. H. McCormick, "Interval Generalization of Switching Theory, " Proceedings of the Third Annual Houston Conference on Computer and System Science , Houston, Texas, April 26-27, 1971- 7. Michalski, R. S. and B. H. McCormick, "interval Generalization of Switching Theory," (an extended version of paper 6), Report No. kk2, Department of Computer Science, University of Illinois, Urbana, Illinois, May 3, 1971- 8. Michalski, R. S., "A Geometrical Model for the Synthesis of Interval Covers," Report No. 46l, Department of Computer Science, University of Illinois, Urbana, Illinois, June 2k > 1971 . 9. Michalski, R. S., "A Method for Quasi-Minimal Solution of the General Covering Problem and its Application to the Synthesis of Automata, " Avtomatica i Telemekhanica , No. 1, Academy of Sciences USSR, 1972 (in Russian) . 10. Michalski, R. S., "A Variable-Valued Logic System as Applied to Picture Description and Recognition, GRAPHIC LANGUAGES, Proceedings of the IFIP Working Conference on Graphic Languages , Vancouver, Canada, May 1972 (in English) . 11. Michalski, R. S., "Discovering Classification Rules by the Variable- Valued Logic System VL]_, " Proceedings of the Third International Joint Conference on Artificial Intelligence , Stanford, California, August 20-24, 1973- 49 12. Michalski, R. S., "AQVAL/l~Computer Implementation of a Variable- Valued Logic System and the Application to Pattern Recognition, " Proceedings of the First International Joint Conference on Pattern Recognition , Washington, D.C., October 30-November 1, 1973 . 13- Michalski, R. S., "A Variable-Decision Space Approach for Implementing a Classification System, " 2 nd International Joint Conference on Pattern Recognition, August 13-15, 1974, Lyngby- Copenhagen, Denmark . 14. Michalski, R. S., "Learning by Inductive Inference," NATO Advanced Study Institute on Computer Oriented Learning Processes, Aug. 26- Sept. 7, I97I+, France. 15. Michalski, R. S., "VARIABLE-VALUED LOGIC : Recent Developments," Twelfth Annual Allerton Conference on Circuit and System Theory, Allerton House, Monticello, Illinois, October 2-4, 1974. 16. Lovby, Terje, "Variable-Valued Logic Applied to Quality Control in a Clinical Laboratory," Master's Thesis, Department of Computer Science, University of Illinois, Urbana, Illinois, 1974. 17. Michalski, R. S., "Problems of Designing an Inferential Medical Consulting System, " First Illinois Conference on Medical Information Systems, Urbana, Illinois, October 17-18, 1974. 18. Baskin, A. B., "A Comparative Discussion of Variable-Valued Logic and Grammatical Inference," Report No. 663, Department of Computer Science, University of Illinois, Urbana, Illinois, July 1974. 19. Jensen, Gerald M., "Preliminary Report of Program That Detects Symmetry of Variable-Valued Logic Functions, " Department of Computer Science, University of Illinois at Urbana- Champaign, Urbana, Illinois 20. Cuneo, Roland Philippe, "Selected Problems of Minimization of Variable-Valued Logic Formulas," Master's Thesis, Department of Computer Science, University of Illinois at Urbana- Champaign, Urbana, Illinois. 21. Yuen, H., "Uniclass Cover Synthesis: User's Guide," Internal report. o - — . •p lt\ CO ••* M -P IA M II co •H O II i> ^ o J5 t<"s Vh f\ HOOOOO rO H IA CM CM - - - - - - O rl ft ^ «J o EH H CO O •. H4JO Eh -d E-l -=}■ « w „ U 'ri CM Eh cd rT CO -H H rl 1-3 II) ro O -P CM CM -n|T\ o lOH CM CO O W\ -P CD CM H Z 1-4 «"» -1 or u. u. to < Z k- ►^ to • u. *~* < UJ , QC «J 1- < •- r>- Z H- Z «-i UJ fsj x uj B Of UJ to n _l t- ** • CO M • O K * _J x 1— *- _l to UJ O X < < UJ r>- Q rj— uj UI t- u < f*. UJ or a Z CO UJ Q uj Q uj 3 a 3 or uj IU UJ UJ *— t- UJ •> »-i — JJ — < UJ UJ UJ UJ (Tk. O -t-Q X o I ►- LL) z z o »— c5 or » _J t 1— _J UJHrmiLlJ.KUjZlil H- >- L. to I Ct -• < l- to -* — Z >- »- 3 « CO < < CO a. UJ o to to or DhQ -I «-• X to to or H uj Ot CO • o _J Of > Z 3 »- z or z »- *- o »- I 3 O < CO - < [O » • * — 1 uj 3 1 a < o 3 fr>* <•"-■ < Z 3 (_) -x or o LU CO UJ H »- o - w- l_ X *- Z •- Q <-• CC CO f (\j -» LU nt < <-• 3 UJ X *-• < UJ >— a: ■_■ uj » jai- Z Jt « UJ < 3 O < < — — O »— l— UJ * k— > ac _J »— a X uj uj < _j or o- O x •— 1 ^tf a. -J Q ^ Q ►- >- M O O > o UJ CT *J CO » UJ to — 1 _J < t— 4# a UJ LO ar _i h- a uj t- z _J uj o n Z Z uj to or t o CO MHO X -J 3 *v co 1/1 X O uj z UJ Q. z auizz CL _J UJ < i— 1— < > o or x o K to 3: o O UJ •-* h- X •— h- O O oe -J cd X -J uj < Zujuo a o to to o h- < < < o •.M UJ •* < o UJ UJ l_> h- a: < z a a to Z -J a- Q uj a 3 uj »- or -J 3 _i Z O ZcC J j *■■* »— I TT L— 3 X L- >-• u ao-M 3 X T o- Z \— < UJ O- u. 1 z •-• ~* U LU I jl — < M ^ CL CO Z u. fr_ •— 1 UJ z 3 I— z z _ Q Q U < *- < z to t~ or 2 o •» ao UJ 3 u. < UJ z 1— * T u. or or o »— oo Z — < u z tr • * 3 <-> »~ < uj < uj or a. * H- a o o •* to -4 3 o O -* < k »-i or X UJ »— 4 z » oc Z ►- UJ »» Z uj X h- o U a. CO UJ CO z < o U. >-¥-•* X 3 < j; a. 1— I U_ cC UJ •-* z X -J > or x Q or h- a < t- M H ^. (/) t— 1 u »_ o 3 3 U U -« QC (_5 U3 > tO z oc UJ to Q -£ □ UJ t- -J *- o a -i UJ(-Zt- O to CO z Q X < Z •-• 2 z ►-< o Z UJ UJ -^ 3 il l o ►- z _ X -J ►- < Q. U. U. t- ■_• a HH OJ o •-• > co o to 3 > > -^ U. • _J CO o t— 1 a! _l z ^ UJ lO T a < X (J O Z z uj a < o 5- or or z o or O — i iV < 3 LU < Z 3 LU k- -J 1— 1 h— « UJ _l o _l a •— 1 a <¥! UC 3 o z> UJ • O U. UJ X Q. 1 O uj uj < O Q -JO i-i CO 3 3 3 Ol Q ►— 1 |— a »— # a a < UJ CO to z to »x »- or t~ X _j K UJ ^ 3 < z z o 3 CO u. ►- Q. »— K- > 3 u. »— •"■« » »— Oi UJ _i a e- UJ to UJ at u. Z o a. or 3 3 -h ac to i-i > o UJ or 3 3 C5 ^ lO _J — C to Z o: Z »-* _J • _i _i u. Z uj X a •- ct o UJ O O -H LL, -X f- LU 3 to UJ z Q ex •— • •— • »- hZhUI O. rv Z ►- Q u. t? •- _J c > X LU to z — • o or < h- t- «I < X *c < < »-- UJ ►- uj "-• Z i- X jr 1- UJ o »- UJ ac ot uj uj •-4 «. uj i— LU -J < CO *-* ^1 1 Z UJ o ct uj to O uj Q •""" u ai lu i/i k 3 Z z LU UJ tO tO > O _J < I X O Z H Z UJ - _J i-i a. > O X UJ U. H z a x i •-. 3-* 3 _l Z t-i 3 < — *~ a X »- CO 53 ft- ft* oe a » ft- < X -J «• a i-i L) >- o ft- U5 Ul ui eo ►- i_j < < ft ►- z z X X Ul ►• O < O CO Ul ft- UJ h- rs > • • «/» i-i h- ft* I _i z to #• K «A ft- — > z ►- «/» u. of Ul Q < < un ft- UJ u. a ui O z UJ ►- — >- -^ > 3 O -j »4 tr\ z 00 ID co *• CO _i •i — ' h- < -J • IS ft *< > < < c_ 00 •— • X of * •M -. O — » — of o > < c_i m < O UJ x z X < • t— t- < Z ►- »of » ft- -^ Z UJ oC oc tx ft- _j at O CO 00 o t-i < o < O 1 ' «- ft- UJ UJ o Of _J o -J UJ o ^ >►-•-■ z >— < v co u. > o u, K a u. ft* h- > t» ■^ 0C CO H- •-) ►- ft- of m a UJ 00 •o .. < X • «p» < < CO » < oo < Q o o H ft- »- o oo i- Ul - »- > — (_ OH- ZUJ UJ z «/> »- < z z X Ul z II o < •-4 um/ioh oo -~ ft- x O. UJ ft- ft- ft— X.-. •- of a X co — . — i Ul »- into m co of _J co a: ra o UJ X OJ X (N — -» X < — . -4 u. •i < Ul oo z u. ac X Of < *• mymM (. m -. o • ft ** UJ af 2 UJ U.Z »H O l- a l*> C3 "^" Ul -i a: -h u. oo — 1 > LU — • ■"< CD •/> < ft- Of ft- ft- O LL LL « > •» < — — « of X X —I ** UJ < <•- z 3 z Z n < • of z > — — > < _ — . < »- O _J UJ 00 ►-of »- 00 a •-* rr. X oo o < *- ac ac m Of Z u. of » z •— ■ t— CD _J UJ UJ < «T O z a. •>*■« I Qk U. O 3 O to Xk. l> Z Q. — Z B ~ l/» m o uj ft UJ ec -ft •—1 _| < O0 O a •-• O u. •M) •-•< QhU> ft- Of X ft- ftH ft- ft- — ac ►- < 00 z z i- -I o z Zh Ul Ul CO _i Of co Q < Z> < •— X 00 u"> -J < UJ > Hl/f < LU M -l N4 U. oo ft Z X z < Ul ft- Z k- ■< UJ o -- *. CO > > oj (J of z z o •1 • o >—) •— i Q ft Z a x oo • oo 1— _J — u < o af O UJ z o •-* u. n0 »-Q •-H _J U. UJ Of •"-• UJ ft- O X 00 ft- > ft- *-t af <_> ft UJ ft Zl, O U. «4 in O UJ 1- x y- co X U. Z ft- -» .3 » af ft- Of UJ rf o ►- ML) J Z UJ «t * CO JZ < •• «ft t— « o. ft- > of in <-> CL -» < < < I UL • < UJ C7 or < a •-! Q t- CD * o O 1- -Ou.OOll-Ur--. O ft. — Zft- > H- Oiiil- h- _J hft-U < • o o> »•-• 00 >o X U. Ul cr •> s: «- co _n — ft- oo o O CO Z O l/>< ft- a uj a •H * «4 >--! — z — z x - jw j y — o H- CO — u. UJ LL h- ft— X X Ul 00 • «/> < ^ of ft X ft «— i 00 -- 00 2 of of ft- O _i a. 3 ft OC O UJ a. a ►- II <*\ II o IM < ui o a u. ft- U. -J ft < UJ X CO Q -ft CO —J > *o UJ >- ft UJ 00 UJ X 3 ►- » ft ^ «-> X O Z 1- a. O * of Z 1— < LU Ct» •— oo fr- ac oo Of •-• o of uj — i • 1— < — 1 Z 1— Q < OO «-» X aio. X ft ft- z UJ O < UJ ill LL m t~ _i 0> fr-eo O_|y?of oo H- -i-i D uj X > O o O T> >- 1— o oo u u. la O ► a: of o * i>j oo < pn in oo UJ U. ft i-i 1— < _l U. ft U X O UJ O uj U. Z H o z US < u «* z 00 ftO" o Z x •■ a. _i ui z co « ■— —J O O. UJ •» < ft Of < ft* UJ U- oo O0f et Ul _J a •-I < a o •• Q • uj of li- LL ft- a. to o. CO «■» • X ft- ft ft- %~ u. > z > UJ UJ -- < — i OO < uj O Hfla -j -h *- » 1- >J3 Of < > -J ft * u. Of _l _j ft- uj co 1- ft- z a z « x 2 Q oO Z -J -J u. Q. O CM ft z < of < Z O of »~ ft- ft • oo _J Of Of >— > o Of ft X ii < - O 1— 1 m — 1 %- oo ft i-i ft. X o. _i oo x t- ftQ. Ul C7 •>< uj ^ ft- X > —I m -J z z a. _J Z < ~ X u. Of UJ a z < X UJ UJ C5 - xf . II o o o UJ -> z •- c z X ft- Z X ft- o a o l_> Q UJ o -J UJ ft a. O -1 Z X t- o. • Ul » 1— U. ft- UJ a fM » z ft- CO > o > o Z"-" — < ■x f> >- z z z Z -J ft- ft- u. »- > Ui IM m CO C A LU LU LL CC ec I LU •-• o < •M fr- CO Of LU u. z X >- CO LU Z a ^ > -5 z M LU O0 LU ee: -J LU eo a LU 3 -J LU LU LU 3 o o IL 33 CO X 3-1-1 X LU LU 2 »- z 3 LU ec LU I fr- CO 3* -1 < LU CO LU 2 Qt- Z < _J -I ►- -I X cn > pN -1 I LU JZ X < ex. LU _l ►- i i: et -1 2 fr- < fr- IS CO 3LU LU *— • X 33 < LU 3 •• «a fr- < »— 1 LL < LU r» x X Z O a O CO •1 2 — z T B UL ec X X LU fr- —> Z _i lj LU CO 0m 1 LU CO <-< a r^ O O fr- LU CO -J LU X •_ z z o X fc_ I— < 33 CO 9-+ CC a LU 3 it 1 > Z CC oc < LU z < a L- •♦ z c a OC LU < «~i < CO *-4 • • h- a > 3 CO X u «■• ac a Z X < ec LU < X at >- O »- < O •— < z > •» U 3 K LU LU 3- >■ z u ** i- > o fr- < 2 Z fr- 1 ►-» z • ** t- LU z — . • • LU _J > 3 > < < 2 a »— oc ct: o cofr- fr--< z LL LL LU II < > => > _l —-» X o. (-5 < cc OC OC o -J i— i >-. < co LU 3 •» l£ X 3 LU 3 z * LU Z QC h- oc cc o eo «/i to ec o LU X ec 3 t_> • LU LU »— • • LU < -J O • -1 X N4 CC ac < < z o 3 2 X < Z • X LL X o; c- CO z n? N -1 a. LU 1- < LU 3 » CO a. t- CL •»*. fr-x LU < > • »- LL LL < 3 _l CO a. Z X 3 C_> X LU LU *» i— • i- Z a o < «> t—t ~- t- Q. < «r * » o Z CC 3 Jh • o -• o X i— CO LU LU X co Z • of o a 3 LO Z a. • « * • * u -4 < CC aC < LL LL Lft fr- •~« fr- > 03 lu ae ct 1 h- Ct •— < 3 3 • ►- H- CC X •• CO _l < c »-t LU a: lu < U. 3 LU X 3 LU — < 3 _ •* LU LU CO 00 LU 3 X LU LU o z < CO t- U X LU LU > | CO *- KOUJ Z »- 1 at- ■—I H >— • X 00 2 X LL < X X ■»• »-» O fr- < < -e o LL O — »•> 1- rg > a. X i_> ►— • z o »-t fr- Q O • a lu ►-• LU CO •— • B LU LU CO CO —1 3 ll 2 o — < z 3 OC h- ec < cc ec * lu fr- LU z H^J -H 1— a co _i co a ot 00 QL- z z 3 LU s 1 •♦ »- » > 1 wa H 3 CC LU X LU LU LU X a: ee LU LU X • H- 1-^ «M# < Q. < r> o »— * •-4 re cc 3 > 3 X LU > X Cu u. 3 > CC cc > > < < < X 3 _l 2 co •— LU X h- _l »— t- a. -J z •^ o a -J z co 3 LL 03 3 O z -I fr- fr- CO II t— IhM o — . CO _ X QLt LU _l at •f z ♦ fr- _J LL cc -1 o co ee O 3 Zll t- CD a£ z -• CO »— i 3 cc cc 3 .» 3 II ii a. 11 3 Z < 00 X X dJ X X u LU Z LU CC fr- lu JJ _ Z LU LU -i m X re 3 LL •— t* -i M fr- -1 N4 cc LU LU LU X LU LU LU O •» —. LL O. Z ■> X LL •-. _J X »- »- _i -* CC LL CO — • a ^ — < a LU X 3 3 — . L- 3 a z •• z X U. •—1 < LU ~» o < I- z z < » UJ LU 1— 1 CO > —t 3 3 ii «M O II CL 2 JJ 2 21- »— » z z • _ CO o fr- : LU to -J »- CO z t— 4 LU u II ac ^- < Z CC 3 Z > •» LU -J >— • — < LU n< •-* X in LU *>4 •-< 03 X LU LU 3 LU LU O LL 3 Cf X 3 Z < cc w n Q. 3 LU -> LU H -J aw o a X < —1 -J »- 2 fr- _l LL O 1- x _ o a OL X •—I 3 < X a =1 X •• -J O • • CC X Z Zee z z z Z w CO •— < ec »— 1 •— • LL w < LU CO 3 »— < X LU cc *- LU >—> z •— * LU < a < < 3 < < < LU > < CO LU LU u. LL, O X _| ^ co O O X LL O CO a u 2 II 3 II 3 H- o LL o Zee fc-a o _l »- □ ^ 3 •-• Q. LU 1— w 3 i— • LL LU ** 3 z z 3 z Z CO oo co CO 2 • < CC a. CO O f- LU CC LU 1- X X Z t- LU K CC > X -J 3 LU LU ->3 LU M < LU < < »- UI < < -J z < < < LU 3 V- LU O co a •-• LU 00 X 00 *- a LU K- CC X 3 X 3 l- o <-• > i- .-. or -1 O- L.. CO Z3 LU O 3 X r^ »- a; CO CC 3 X LU 2 O. 3 3|h. 3 3 O. 2 3 3 Z CO NH CC < fr-' fr- *— ' x a 1 LU »-> •— • q- LU LU ex. (_) K- LU LU LU LU Z JJ LU LU * LL. CO < x »■»• 3 a: =3 LU Z LL O -J LL LL LL *-4 I X -z. < LU ec 13 co co Z CO CO »_ > CO CO -JO o w > O fr- a -r Zw < O -x LU <— a ■w a. •— t- •—* LU 3 O — • 3 3 r. 3 3— • LU 3 3 O LU *- X X z 1 1 1 1 1 1 1 1 1 I 1 1 1 1 I < <-» o 1 z u. •— t » fr- sc M LL. of Z «-1 LL LU a 3 CO cc < Ct LU > < fr- co fr- < _J cc a. X •-• < X X ec fr- z cc a -1 LL a > X n 3 LU fi X < et O * O -i • v. z u o a a lu LL LL o o •—I >-i »-« »-• »* •"-• z X fr- CO 55 o LU Of LU > a u z 3 »- l— co JQ O z z X X UJ Z to UL 4 LU UJ LU ^r >-4 UJ o LAMBDA fHAT AR •-• a U. LU UJ V- •— <-< LU < 3 § a r- Of LU -J 0. >— < X LU 1— o I- < S lO C3 "» r- _J LL. ar Z < «* X 3 Of O z Q 4< •""> H- < I-* a CO -J LU CO J— O a 4$ LU UJ LU X mQVI DtfO < > z X c- »- co C7 o CO Of I CO UJ Q LU LU O O Z LU < t-i UJ Z CO -J LL LU t- UJ UJ 3 _J UJ X CD -3 1 t to CC -j UJ cc V o V- X < > p4 _J Q. y of r u, uj >- CO •— < Of X LU y •-4 z 1— L/l LU X o u. to UJ UJ co X w uj o I u. * to < LU LU LL 4tf Z Of < _l 1— o ^^ z o UJ L- Q 1— O O • O H- «- _J ■"^ -J UJ UJ _J Cv ENT OF AT ED □MPLEXI Of CL %~ < a. CO O LU •-• ac a r>-z z <-> LU UJ Z of O or. < LU ** "* • LU Q • UJ II ►-LU z < LU K_ X CO U_ a X LU O LU LL LU X > CO to CO — uj X Of CC 3 LU LU r- Jl X a a Of »^ < LL o CO to X Q •■* CC —. CO ■> z<-> LU a z o o a < a z CO CO r- CO _J O < < >- u »* af »— 03 X O ft < -J < LU o h- ^* o LU >- •-4 < LL h- h- _J z < co lu - 3 -J Of OC LU •-4 i— i t~ X LU ■* h- of CO V —I _» ►-< a a z z UJ UJ _l Z I UJ UJ LU z to UJ t-t co i-^ < LU Zl-QHZ a. >- L_ _l CO CO LU —> tl _J LU O CO < nc r- "^ «—l < eO UJ a 1-4 uj • > Or IL Z c_ Q < of LL O _J X Z Z LJ UJJOIQ. LU _l 1-4 X h- a -• Q O LU > CO JJ ►"4 CC -» >• c- »-• M O Z LU X ec h- < X Of LU LL — < Z u LL LU r- CO L. CO Z of oz UJ UJ af •■• w'Jk-Q < LL a£ •1 LU < X O UJ X ft Of 3 X Z X <-4 a 3 « x < o co to lu z or < lu »-4 UJ CO CO Q X Hh z » O Of Z LU O H4 3 I O UJ l-ZI M k- H z 3 »- z z wot a a «• aC O > K-IUJ > < Q 03 L_ X z ft ►- L- tO K O to — t • Cv LU > i-i > — O to lu < a i lu a Z a h-x Uj .. o to UJ UJ •-• < o < > CC LU X> uj L3 CO a < L. i-4 LL • (V LU VIOL- ►— X 2. Z L- [NT TO IS BE OVER ' x »— L_ LU ►_ X X U.O — 1 X o OC CO Z X z of LU L- _l •1 LU *» < z h- Z OC 3 Ul r-Z Uj X L- z LU LU O CO — LU O < CO UJ »-H LU X — » Z co z o Z Of Z CO LU W 3«. X »— y z CO ►■4 -1 -J O 3 ac LU Z -J X CD c -^ CO ►-• r- Q •-• II LU CO CO LU r- X 3 LL Of i— • co LU ■—• UJ UJ z LL, CO a a. : UJ LU > v_ 3 co *— < ac -J i— x 3 I- CC — • Cv -1 LU X k-4 31 10 1— 1 X + -1 1— Z z CO *-• LU CO CO *•* LL 1- O ZX Z > Z LU LU LU — 1 -J LU Cv CO t— X HH _J LU CO X -1 —* UJ •— » o V- Q< LL LL ►- O _l _l LU 32 a: a. LU LL. cc Z LL LJ »— » h- O 3 1- of »— i LU LU X UJ _l z X ►- O a: x a z -» < o a z z < r> i x 3 MOI- a • X a Z CL z z a ►- □ z > LL LU h ujm Z LL Z a. < uj L— Q. c- T LU of »— U ►"• CO •-• «t cc to frH co a LU < CL LU -i LU LL z a LU a _j — co ■> O rr »— t Q UJ X r- Q Ov)Z h- *■« < h- co v~ x LU CO cc cc O X LU CO _J < CO Of LU to X • X X X LU LU LU UJ _ LJ Cv < *? O to M •-4 O LU t- r LL. JJ z or. o of < C_ CO LU Of < 1-4 II LU *■ Of LU » Z O I LL cc — -J _J H- Cf LJ CC UJ UJ t-t O -J Z _J z CO CO < a •-• 3 -« CO >-4 Of 03 C _i a — -» JO O -J •— • a H a ujho o co X LU LU _J *-4 _l LU LU •— t— x r O X O" O u. O < X LL u •-4 pi Of LU LU 1 Cv V- 03 LL LU U. Of 00 UJ o z UJ I < to o _l 1 UJ - _J O Z -» 3 a o i _i 2lilh3 LU X CO LU LU s LL X co LL cc X LL UjOh 3: LL LJ X Cv O LU LU t— CL LU z z t— < LU LL. -- U CO Z 03 t- Of < LU »- LL LU UJ LL O of O LU 3 ll a Of CO LU a H- 3 LL *-i rr' LU ^ , 2 If UJJTO LU < co a 3: «/1 z □ Of uj n CO u »-i 33 z o LL CC < z CO z a 3 •_■ to T < X 2 C_ h- U. Of X LU a oc 1- t- «r oc _i X _j z ■a C3 CC LL Of < c- OJ 3 • Of LU LU CO jj LU LU 3 UJ t— o LU H- O LU UJ c- c_ * _j Cw LU L. : lu -1 co H _J Z UJ LU CO X X c- X CD X CO LU LU uj a X a. co z a: CO O 13 Z CO •-• oc OC Z c- CO OOI *— * _l U 03 X CO o LU x a. • 03 X K T) X t- Z CO X O a uj rr < LU LU a 4< LU of oc t-< »V »— o X LU LU X o LU X 1 — . 5- r> Z LU 2 z ZOtfl UJ 3 _j X _l LU _l X LL T < < a z LL X 3 z X X> z Of z a — n z z z LL < 1 3 —> U. Z> S3 O K of w L- -1 -J Cv X > LU CO LU C c_ _J -J »- 1 1 a .— z — L- Z ^» < _1 o z — t-4 | W C ■ o Z I I I I I I I o to < X -J O- < to LU LU z z a UJ o < Of Of LU X < o < L5 Of r- _j a x Of LL X K to a x _i ►- 1- < a to x X o _JO- CO X X o CO < < UJ OCT LU LU LU LU LL _J X x z Z X z z Z Z Z 8 3 Z — < LU > LL O o z z > Cv LU C3 -J -J z z o o o Z -J 3 — a x u. x lu a Z Of z z UJ X L- co > UJ UJ 1- CO u. < < t»LU UJ Q • • z X UJ •^ a K C9 •— m *- >- CO LU OC 3 • -J k- X _j oz CO • ■ »- < a CO UJ LU » *4 LU Q II LU < LU CC /V u- Cl o o UJ ZUJ •> OO X ct _l o > UJ LU Z LU a. ac 3 o LU 3Z UJ z t- > X l-»KJ a> uj co t- u. a. u Oh o UI X m 3 LU »- z X Cl — X < CO X X_ _i<* < LU z o z < C3 ►- z • X o ** 5 Z K -i 1-t (O < O t- o a ui *-• CC a a oc H < QC — • uj co JO oc < V co a < z U -1 UJ rV 1— » u. >— • LU LU LL •JJ n X <3t~ < UJ o t— CO 0£ x <* •-< M -I a. oo ui n t— ►- CO 2 • LU > oo LU ►- Z X O OC UJ CO ♦ < • O a a »- LU U. •■* «- z < z X LU ft a or X «K UJ X z a to Oh • CO -j UJ -I • co u. < co CC *H 5 T CC LU O a l_Z oc < >~ X UJ ui «/> eo • _J z h- 3 cO 3 O 00 -J UJ LU oc K a I »- a 3X o< t-* UJ -JUI oc O - a < o z 00 • < »- O co 00 _J X 2T Cl Z QC o z Oh X Uh a: co -JO UJZ ^ m t— • ►H LU O U Z »- jC LU < LU UJ co UJ O • - o UJ i-«Q U. O < *- -* • It X t- oc a: m >— I z a o _l O LU • X X 00 ft i- > LU o aUJO co oc au. ii 1— o < Q. ii a CH _l a • a. QC a »- II < _ 1 00 o ool- UJ U, CO z < X o. O H- o •-> ac z »—►—»— _l oc X X CC < • V UJ < »- < LU ►-. 00 oc .. H- Ul I O UL Cf _J X UJ LU a CO 3 a < a. •-< o < ii <•> oc > ►-■ LL OO •W4 lu a IS 03 UJ ~.Z -* O _J a 5 Z CO »-« O CO O- UJ x o y~ o LU UJ LU »— a. CO II —I a -j »-UJ Z KO- CD oc xo u. o LU h- • a x z 00 z o 1- _l 00 LU CO < a Z oc •-. Z < X — OO u. UJ O _J < U_ — • LU < o a a uj OC < < »- 1- * • LU LL t- LU 33 KOh UJ »- y- u. i- z >— • -1 -J o •-> • co -j i- N1 t- x u. 3 oc o ■— ■ < z <£ — i _J O CO JUIw > oo ijj < a z uj CO Of »-i 1— 1 CL X ^~ *- c H 1- k-* *- t- •— 1 • CO a LU o o D*-" < to JZ uj X Q < < 3 a. Q O O X < o LU 00 a < • U. < Z >Q «t 00 z _ CO U. CO X z k- CD *-* u- X x UJ —. 1— i-^ UJI-l- co OC _l u. a ct z LL a a 4h •— < < _J »- UJ ai <-< -J UJ 1— • < X Zlu oo >*■ oo LU h- to i— LU LU _l o LU LL 1—4 ■— i OC Ifl PC X 3 1-4 CO tfU< I > CO >~inc UJ _» c"> oo < o _l to \- oc -J z < h- a •— • •— LU > z < LU OO 03 (J M UJ > O »-* a: lu X UJ UJ LU > UJ < 3 t UJ UJ UJ t3 CO LU o UJ 00 Z t- 3 X < »-H > "5 < -x z oo Cl cc 1— < o CO 1-* z < to 3 < Q ►-• t a t- cc QC OC LU O »-•»- UJ CO UJ X UJ >LU J(JM CL — 1- LO o a. a I-* NN LU -J x LU JJ z *-^ at 'JJ 00 1- •"* ~t QC h- X t- T < _l _J Q UJ Z X Q. LU LU LU LL. o. a X OC a: X < O O »- z _J •— < LU < > •— « u.>t -1 >- - UJ 00 Z 3D _J — ►-• ac 3 o u. X X 3 — H- < 1- Z LU >- 3 X cc o » -J co • JUJh trt to < < LU Cl U. Z UJ o"i »- LU LU >— • X <— i LU -~ • O t- 3 -4 < ■ Ol -i CC LU k-» O -J □ ■— i- CC < a i- a z oo u_ UI o OC K >- X OC oc LL K •• Q • o z eo • < X oc U. < < LU OO 1- UJ U. U) — 1 o a t- •-• a »- CO — LU h> a o o UJ > > < a »- LU •» (\J a -J - • o »•* co oo 1- > t-x LU LU a: < • z 3 • UJ X CO ►- 00 X z a 3 > LL < Z rn • » < •> • K cc lu o K co oc to LU < oc _» z LU uj oc -J OO t- t- • a N-4 A 1- •— t o O OC X O — o z > 3 z zu. a a a •-* _JU. 3 u. < LO . •-< LU < > co II tv LL 3 UI LU _! LU LU Z LU LL U. h- LU 3 X ii NN 13 •• i-i LU < co co a: o Z O r» OC —1 -^ »- _! oc a LU I— O CO X _) o —1 t-M _J 3 3 Z 1- LL n OC UJ z *— i o uj a u.of a: ct OC »— * _i K * < ■ UJ LU HUUJ > LU UJ LU < < >- t- »— • Q. O "*• «> ►- CO 1—1 UJ LL < a: uj o o UJ UJ UJ OO O UJ •►- o z II _l X CO t- I < Cl CO 1- CO CO CO ~ o a z x to »-l »-• t- o. X CO UJ H- to < O a. ►- H t- LU H Cl a CO LU 3 X — CL _J h- »- z x • o X X y ►- 3 < < 3 O M 3 z OT X u —i > *- < LU X LU z V > ■ ►- Cl O UJ »- 3 O < 3 3 3 i-« c at h- O < X o *^ o o < X < z u. co OC I O 1- X o LL ^N 3 H 1- y- Z < -< 1— ( Z 3 — a cc CO Z Zu. z z z CO — •»- oo o uj »- «. X — a LU t-WH •— i >-» t~ t- o < 1- z •x -J Z — "— • < •— < uj u. co CO cc H- • LU I | 1 i 1 1 l 1 1 1 , 1 1 I «^ _ c Q 5 X 1 * Z _J UJ ►- t— 1 LU CO z * co •-• — < > —t X * > LL IN S oc OC •— « UJ > CC # CO < v t- (J K a: o UJ O a CO »- 1- Cl r UJ oo K CO *- UJ < _J LU o »- o UJ < —• < LU z a X X UJ o 1- > ac V- O. a o oc z a ^ H OO r> co =5 3 > Z _J oo < 1- •X > > UJ UJ < co < < z z Z Z z a o a CO 00 t- 1- ►- > KJ z _i o o 'UJ _l z a 3 - Q. o CL m " o o o ••4 •• » LU ■ CO — •• ■* «« z n o car rj mm < • o LU i-< » •* ►- f> — • o a - - U. to ^ 0m o a ■ » H • • • o o — . LTl LU X LU UJ < •~ •• -1 f\l m *-# CO a (_> UJ — < > * m ^# «^ ?• n a UJ UJ z u. z -1 » X of < >0 < o •» a -i z 3 < Z3 «J -J a: ,. ••^ CL > a x -> _J K^ a Jt < 0m •> -* X h- • • ►- o u »- • • OCOOC r o ►- • a «« •M (J CO Q H < -1 3 • to x a or. ^ LU ^ z «— 1 1- T5 LU X 1- UJ UJ CO > LL z N N »- u. •» u. z ■1 r T. X U CO < ^ CO >— 1 > Q or o z ~ • z *^ - CO oc o • • a _l -1 -. o a CO » O' O < l-l-l - • » a UJ a » CD < ►— • »- »- !3 CO a >- > • of _, X co LU Ol O II ++ >. LU »- < UJ < < o 0m <— • LU ►- z a < - O * a. wo o »- m0 w UJ Of D UJ a »- »_l 1- CO z «h < CO — », a a u X X 00 fc- UJ < CO z LU •» UJ Ct K- u. 1- to r LL. l- - o > X or. T o > 1- => 3 •"* LU UJ a .-J < of O a »- trt < Lrt O CD O CK a: IB co o t-M LU C? CO C i- t- •• — < to » » OC UJ O C • » II u •• LL o • I N ■b UJ or < u. LL, LU _i »~ 0m < - •» < m* »- »/> Of. >- a < I -^ PNI _i < UJ of H LU ►- LL N Z ►* < Or • » < »- • •> LJ —4 o a I— < •—i •i a *- > t3 •— < •-« z H _i CD OC CO LU w W LU LU CO -E < a O UJ < Q. at ■• • » B •-• to e> • 1- X -I I— a ►- »— » X • _l U CO 2 a mm O CD II u. X fte • • 0M o ■t —» •.< » •— « LU Q - -~ < y- » -J X O ■• • •> »— * a v u o < «—< ^0 • 1- - a. - • CO Q. • » —4 rr\ o X CO • H » » Q •-• — » *- u. CO a a »- «— O CO ii i- H «• -I > Z — « • «> •» H- a or »- O or (M pnI h- _i _j »- cr Z u. O »— » 1- >- < \- LU -3 II •^ M *• o CO X _i Z w — ' a t— K t— _i _i t-l LU » _i _J »— « LU CT < »— « > •• X — — > •i < o UJ t- CT Z uj LU CL CL i- LU => Q < < Q T" X < > Q U Jl- Q of U k— \- -o UJ o •• a U -J •» > I •— I k— 4 o Q. UJ LU =5 1- » o a. UJ < < LU LU LU CO -^ CL N o .. < UJ LU < 1- *T X. — i UJ UJ X — •^ *~> OC 5»< Q i- a. • » o <— i > > M U"> •• • » • a > ••* tn to CO CO n _ o o — . »-i ■0 » ^ -~ u. o "» Z CO 03 _J n »- » z N O 1— «, z • o •-* •• m » — ■ o t~ Cl OC rst CO < o (M • *. M «I ;> LU LU 3 LU (3 z a l^ C^ a X cr •• UJ K a jO > Cl * 1- ■ (_} LU > t~ _ > K fNJ II UJ II »- CL CO O «* I- II n o < a LU Q CL •—< co CO CO »— i CO CO -JO CO =5 o LL1 => n ol D _l >- ••» X • » LU u z .. co * -1 O UJ a X >- LL 1- 1- >- O H- »- < LL O 1- > H- ♦- Q. a a. •1 o X o z ■— . LU 3 LL Z D 3 X •— l Q D < r> LU> LL Z LL »-i u. z 2 _! •-* h- O Cl t— UJ Q. a. Cl CO O- C0I- »-H UJ _, * Q • • • to z < « < < •• z Q o o X •* z UJ w UJ z > UJ O O OOOOOOOO O OO^-hmimN^O o -- o OO O — 0-* -. O 1 >0--irurn^'if>>o ao cr>0«*»vrN>Dh"'CO <\J Ci -> •* t*\ tfi fO LO «o r- to o> o — i cm fO ro (*) (^ «* ^ ^ lO 0m QC _J m < Z ►- * t- • CO * •» CO • to* * •> — * »» X •« J «•* —ft < UJ o UJ m — » z -J — UJ Of — • «t CO N X < u. ft* z < — r> » •• u. < to* « co • ft co — * < to T o? *+ 1/1 a UJ •* t— • ft < »- < * < •ft _J • ft # < —ft ft— > co > a 03 < — * a — * •ft —ft QC •ft •• at CO CO < H -* f*> o > UJ ** I i~ a oc to* < I —ft ftV z z *- ** v\ o 3 t- Q a oc Q to* — < u. UJ to < o ftH < Q. O UJ *~ < ft— ** ft> •> UJ 00 ** UJ < CL o > a. •♦• a. —ft N QC ft— >• z u. UJ < to* o to* <»• o UJ oc ae UJ > u. O * IA •» ^ * CO NJ < a I 1 O ft z CO — <— • »>• CO -~ -ft LU UJ to* z LL H l_) ^ to* •» ft* Z « 1—1 -* -J 03 CO to* o _ • ft X mi »- «- X UJ CO to- ft» 1 CD UJ CO CO • UJ UJ UJ • a „ 3 r> QC -I ri 1- to* < ►- z •1 o *■* 00 z CO _» co Q- t- _i < < a. to< — ' to* a to* Q UJ < I'- to* -J _j QC to* a > Q ♦ cc z -1 UJ > LL to* • » _l -J < a a Z Q O CO QC z uj o < z X UJ • o O _J II > • ft u. i— UJ UJ «— UJ UJ UJ IT> > •a * * to* _J UJ o ft* UJ cc —ft u X _J h- X V- ft* o ct LL « o. I z UJ UJ UJ < »- *- CO Z »- 3 Z UL UJ LL T in z >— 1 h- z X u. r» < — Q. s: O K- at > —ft O UJ CO _J z to* to- o a. to* o r z CO < o — * -» UJ I UJ to* _l V CM ae > rg Z _j CL UJ to* t- •ft u > CL rft a. H _J z — w CD ~» z < 03 -* UJ a UJ X -J CO "" z LU • V CO UJ _ t— to- A UJ ?> A X u as h- t-I UJ ft- oo • ft -< H- > z ft* t- UJ to* ftft UJ ■4* to- o uj -J- n QC (-1 o to* to* > D to* uj a: M CL z _J -J a: * z QC # -ft z < «- z UL z Z • ft •» ■" a. uj O < — ft 1— t UJ -ft — * to* UJ ft^ to* a K a. * to* to • —ft — > > > UJ 3» -* _l —ft — * > -* to* 3 > ^H ft* *— co to* • UL z * * ft— *•* ♦ LU t- o a II (NJ f\l O 1 ■— a o | > ^ft X ^ ft— UJ •• > »- ro Z -1 •» o co _J > UJ H u to* > JU 1— • o to* < CO o a. QC z 1-4 *■* LU z fy* z _l a z a. a B — a _i « ft^ o Q z to. o UJ ft— Q LL _l * to- o • ft «5 o to* to* _ + o a «ft- *> a UJ h- a > .. UJ ** • ft II z ^ _ CL _l ^ * — o a u. — o >- A 3 a z CL UJ —ft > • • > "* UJ CD _1 > II >- CO trt m > ITV t- -ft a. u> UJ O -1 _I — Z O z to* _l 3 < z O UJ 1- UJ — to- UJ •>« r fNJ CC • •* X UJ z Z f\J *" II *— II to > H z CO *- to- X ft— < •» to- QC ft— ft- ft— * X a CL z z f- cj ft- I ll _» r> • •> ri u. u. b- U. a. a 1- Q K CL < < »- > z UJ LL to* Ul UJ _J to* UJ Q. □ a to* to* to* to* to* co o Z UU z UJ CO to* *■* z -J h-« to* CL Q »* ^ >- o UJ > to* ct toft ^ — 1 ftH » _J co •• *- • » CO r> < o •3 -J CO z II UJ # z •• UJ > CO > i-> CO UJ —I ft to* CO * to- Q CO Z" to* z K 00 U ►->- z _l ft UJ u. Z _l _J r> UL UL UJ LU ~5 UJ o UJ «- c to* UJ UJ o o a. to* to* •• -J Q o a -J Q »- to* y- •ft* ^ — i CO H CO H z to* •• to* •« a to* < o Z 3 o z Z a uj a a UJ 0-4-*-*— I— *0— i -*(M f\J»* — * P* 1 0»*r\) «t^>t «*->*ir\irim rfi in «a r*- eo o <-* n> >*■ «n *3 r>- CO o> o -* fM m ^ in u*> m ITi m -0 o *3 -o <0 «o >o UJ » m • * V. X • •H UJ * < 00 «« «» 3 ac X ft »- > « •> -1 oc LU O UJ — » Z ec o — •>. < UJ I— •«V u. z «v> UJ < » m i« * > H- T # z w ■^ > z ■* . -4 z —4 1-4 a: UJ ♦► UJ ^ CO > w Z w. a < o • an * CD • o z -1 O a a. _J o »- z 44 M — 1 0»-4 < i—i o. < z OO 4* ^ X w ft O • X CO > Qt Q > I-I a > u-» a > •ft a UJ <•* ra a: LU Q at CL X •»z Z -- a UJ co «• LU X •k -4 Z Q UJ »- a: < LU X Q -< W W 4* _j -J oo » 1-1 z f* U »• »LU t- 1-4 < 3 H- I—I LU U. CO >- »- CO z •* < — » w o UL - >—i -^ fb -• X z oe 3 * z QC z • x or < M -% » _i -4 UJ 1-4 ^ -^ h- 2h o •-■ 1-4 o at U 1—1 H- o — ► < n OO X «» • u w z -J K»n < LU •— (♦^ U, O < 1-4 X — Z _i I-I < -4 OO • a II < ►^ «* H- _lZ «— u. CO -J < «N 4-4 U. X X 1 >- ft i—i X ec w l/) w 1— 1 > — * « # » < X ^ CD K -J _J z « x < *—> a >• ■b won O -1 ^V ■v V. >. UJ UJ o z o UJ • • «— 00 »» X z ZCC » ■— -» ►-UJ o a * * — z O Q LU Z z > oo »■» » ^ LU UJ «< — r«l CO •-« z ^ oo >. ^. X w Z UJ Q —4 z UJ OO -J < — ■ Z »-J ~ z M — - z o UJ t-i f>- 1-1 » _J o ►-< z * •k m x n > 4-1 — • Q I 1- LL _i X «-. -4 z «•» XH O .. CO LO < - a »Q » — » *~ ft JO Z u. -» LU ►- o c < co w LU »-i < t-4 LU —i -~ X *■• — . LU — > Q LO — < »- LU UJ o h- UJ LU O i-i •* i^ m o Z — i •» z » ♦-U- X -. .. -J »-> -* UJ 3 o Z X z z — •-. CO X X LU Z t- u. — X o >• > (J — . 1-4 - 4» > -4 o ^ CO ►- X to — » •0 •• — _l — *~ < 1— • Q-. t-l UJ > o 1— 1 Qt Ct 1-4 -4 CO •» -» Z w LU > o £ UJ ^ •h 1-4 X -i X < -J u. LL CD Q Ou -J < < _J «■ X <\) •-• ISI a UJ o => o -J — » w < »< a Q — O w < ►. z z < OC — < •v O •> -1 — * Z cc II oo UJ X JI-> » «« (_> UJZ ^ ** ►- •■ h- 1-4 1-4 LU Q X UJ CO -• 00 z 1—1 •• ■ o 1-4 a -J Z -J OJZ — or LU X UJ z z o-» — Q Q i—4 — » o _l z Xz- z o — • t- w w — • « _l LL -U LU _J Qi -a > > LU < X w U Q UJ w CM II 1.J X II .. •• (_ •• X N- > —• fc-K o z — • X X ~» *t »-< z z z -^ < ft z UJ 1-4 — * 0- w X X < X O «* i-4 -i a • • a co •-• 1-4 m i-i K o 1-4 1-4 K- X z o *^ ««> •« CC x -J II UL 1-4 •— i — < < X < w M CO *■* •. — i o Z as w CO —• LU LL u. 1-4 a 1-4 X _J O -4 < —1 U -J -~ 1-4 — * — 31 r LU X UJ z 1- oC w Zoo 1—4 a. CO a 4h CO KO X UJ 4. > z z o c oo to UJ Q » (V oc _ 3" •>z »X I Wl X w LU z • O L_> a L-> o z •-■ o. oo X £t LU LU Q LU — 1- _i K- h- o I— l-H -n —4 -. »u LL u. >- < O- e_ ft u. > — X O 1—1 to 4-4 x •— > X OO 00 •— • z 4» X O n f> z a UJ o UJ U. < < O O _l C£ ivj o a w u_ o z 1— • > LL CD Z i— ■ 1- z • CL i. z > < w z X a. w .. z a •• 5 t— » 4— or —I o IM CSJ (M (M X PSJ LU O z UJ UJ •- X o. vr ^ 1— I UJ o a. z O LU Z o UJ co o -4 -4 z -4 LL LU o * -4 -4 o o o o o -4 -4 -4 o o (\l *•• (M <\j <\l M (M r» 00 r- r» f- co CD CO CO co CO CO CO CO v> o u. o K- Z LU X UJ lu co O LU »- cc ac «/»3 *- U z «— < uj Oi ac LU I OZ a •-. a X LU oo < LU as ec «• Cl • ox JO »- »-« MX • LU _* _J as < — X O • LU O O -et *• ee x t- Q-— x < LU LU «-• Z I 0C •-• LU •-• LU O CO hoc < m qI LU _J CO o or lu ZdC I- 30 LU U.OZV o -. lu z 3 C- I •-LU co i- «s at i—i I— LU -J x z :> a o a -ocoo I- u. co >- Z mO O LU < — to I I X O I M QI LU T ac lu — > * a • o * > LL o LU LU CO ac LU > o • Z LL. LU CO • < •-■ X Ot -4 3(/)t- » Zh«5£ Z — LU — LU # X »LU * -I w LU LU o A Z II »-• V I- a co z — LU -t 3 II V -» X CO *_ Q CO LU Z at < LU LU > x o O CO Z -" LU - LU II CO — ~i CC <- LU — > or: lu < Z I- CO lu a > z < -« X LL. •-z LU CO Ql »- a: Z 3 •-• <_) a Of CL LU a o LU ac < LU X< <->►- •-H CO X 2LL LO CO z_« *■*<. <. > O at < LU \- COZ LU O xz lU — » -tar: LU 3 _|CO J ■ < at >• _J LU CC <.%- LU a. a. LU LU 3 CC OL >_ O O co I- c_ at LU Ci Ctk- JJ LU Z 3D 3 a. o o Z Z CO •-* •— • LU ot cc ac y- »- a co co t— co ►-»- •-t ►-« X CQCOO ►— • > V I oral < < zz > 33 < I I nr i-t »- or' CD CD < a LU ot ac LU LU X > ►- o >-< o LU LU Z CO < oat a co _l CO < _l > < at > lu at t- lu Zl- ►- Z co •* LU X z v- 3 < Z t- O CO O 3 »- LU X Z LU z CD Z CO m JO < LU co -^ at ac at lu LU LU > »- *- 3 z z o a lu a. at co lu LL •- > 3 _J_J ac co ot < t-l LU LU CO CO 3 3 t- a. 33 • X co 3 -J Z < > LU or X Z LL l-H 3 >* t- z Z 3 3 3 — . o Q X Z L_ 3 (_) CO x — Xt£ UJM z — u > cc co * > Z 3 CO Q Ot _J LU 3 1-3 Zu I— • 3 X Q. o •-* CO I LU 2 Ot 3- CO X u s t-t LU X z LU > X < I- ot ot Z < — ac 3 LU LL X »- CO -J z < *-i :> ct CO LU —I L- < Z > "-• at LU Ot t- UJ z > ►i 3 a 3 i- > _l CO CO cc •-■ LU CO c- CO 7 3 -i a 3 a. Q -i co 3 LU 3 at o 3 >- X CO o x I z »— a CO LU ac \- LU < h- Ot Z LU •- z 3 LU Q. O LL CO 3 < cc a. _l z LU UJ UJ fSJ CO L- X >- 3 _l Z LU LU CO I 3 I- X a. co — co — CO — •-• u X UJ y- v X ot -« < »- > CO < ot 3 Ot LU < z CO o. ■X LU UJ K- z co CO CO X X I I I I I I I I 3 * cc *- < Z X 3 3 3 u. uj a 1 UJ K CO 3 co < — cc — < u * < I I X »- et LU > o u Z < «-> c^Q a lu LL "-• LL 3 «-> LU O of LU —* CL 3C0 O LU < Ot ►-• Ct t/> LU _J>- < l-l >a at O LU t- LL Z3 i— « CO * co O LU Z — O •- < 3 ot •— at 3 at a. t- oj co»- Z •- 3 at ot —i 3 O LL < LL O 3 3 Ot X 3 U LL x a I LU at Z LU — a ►-» ot CO LU Z Q 3 a. a 3 LU LU Ot I < CD U > X LL I _i co et a. 3 lu •— co ►- t— X _j co 3 3 >- Z X -J — I I z a- • j w • 3 • 3 *- LL CO » t~ O Z -) I *-* LL • CO ►— CO t- V- VO -U CO Z >— CO •-< LU _J CO _l x LU x _J CO < •- ^ -I Ot 3 LU CO ►- LU Z Ot LU z x < K O O co co LU ac — 3 > LL z 3 3 LU »- co 3 O X z 3 ^> cC cC ac lu LU X 3 • a o Z K- i-i CO oc <-• LU _l > I 3 3 O w I •-> LL 3 3 Q. I Z a 3 x *« i- 3 ■-• _l CO 3 3 — o_ CO CO UJ K- O ►-■ Z CO < ot >- — ot < at cc uj 3 x o. X X 3 UJ 3 CO LU 3 CO Z 3 «-> ot O »- Z co ot »- I- •-> CO CO K 3 co j- > o a: 2 at 3 3 Z a. < x I i CO O « z CO O z a. CD a. LL 2 Q. 3 t-t- a z z co a CD LU X * o LU _J * X XX H Z h- m 3 co at 3 t-< CTo 3 _J X Z Z 3 Ot H- h- K- Q- O. Z 3 Q. O CO i-i Z Q. O CO _i x n 3 3 0. < < LU x »- CO 61 ec -i * UJ < x »-> fc-i m at a: ^ -1 Ui i- • K> m* 4 Z • »-< Q n O UJ x ZcO x *■« «-4 »-4 X 0C a. X »-« t- OK- a: *rf ►- i- «/>►- Q 4 00 UJ ae X < s: OH Jt x U. •— i Ill X a Oh u H ui < »-« 00 LJ X i- =>•- JT □ a z oz oc z<~» < 00 »-• K < ec a CO X Hh to < X o o h-UJ X ►-• •-4 1/) o X (OD cC u. Jt >ot a: Of UJ o < •li- UJ h- ar: O h- CO o< _J a. ec 3 < x< 00 LUl UJ a KO a: a * CO • z UJ < ec c- O W0 a z UJ O CC o u. oo * •"* 00 a — l I UJ at o o a UJ «» oo < o » Z— • U.X o * < I- • »- z — a o m uj x — •• < z ..-» j: — oo Jl o. □ a Q. CO < < > co 3 O i-» < > UJ < -• •— < c- It ►>4 z to *+ U_ I- X * UJ ^ z * I CC Of o a ••z z ^ • -»o - Jt- N O H Z -4 •-« a i-4 o c. Z o -• Q • * -» c_ *4) »»4 CO — >-4 Ot- -J a co o l-N oc cl o ►*) z X co o » H — II — -. u. ft a — — O z X -4 - H " ■ •— • — o u. a rg o z t- Z CO •-• o a OtM J Oh » z a - O ll O c- t- a co < a -< h- _J It «/) •■4 I O - O _J — • a - — < Q < a _i ui < >o Q < Z UJ UJ a:x » * Q UJ a UJ a. CO X CC a u. > JO M ■ — •— C- 1-4 CO • — X — -» CO — ♦-• M It •"• O UJ «- «•» I- II o — • — > ••»- •»•-■»— •►ZOO co I- O co uj o — — -J ac -J Oh-tt« II Oo-O Z h- t- — Z (N - — Q. Q. — — ■ w w — ■ H u. (D uj y~ \- a. ll • • O co co »-i O O 15 Z •-• fc-. V UL O •- — —I —I oo i~ •— ec co O K I- H-t- < O Z Q. UJ UJ 3 _J Q UJILUOH co o -i z o • — < or y~ u oo — _i • i- < w _l 00 k_ —. -~ . _j o UI UJ 3 Q. CO -J < _J > X Z X X -» « co < ro <-• O — ♦ Z a. * •-• •i - LL N * — m a X •• »- Of c- o a 3 o u. a a. o z >-« UJ CO II »-. UJ Q z 00 oo Q. »- -4 D X Q- C0 wl UJ a co »- o«j UJ U. UJ O Z * U. o II OC h- Q. O X UJ X 00 — II UJ •» o o o II X z Jt U. O M o z o MOT > UJ oo OOO-^-4-^OOOO mioi'icicii'icimi^io OO O OOO"^ •-! -4 OOO -4 X tf> o eo 0» c>ct , o»oct>o»o > ct>oo o o o \f\ >o >*■ eo o>0 — «fn- Q < O z •• UJ -» .»•» Inn »- w — — Q •-• H- UJ 3 0£ V) O Q- O •- Z _J o ••• O Q t-U. z a Q < < Q Z •* UJ — -. IIN h- < a n «* * -» O to mHUJ3 O •-• Z -I o •• O Q l-U. z —, UJ •« •- II •• • • ~J Z II ll o UJ N JO u z II V tc t- Q. •» _l o o II — ec t- UJ a -J at •— X X n x o a o z UJ a Z UJ x II z _J II a. a. •-< a. _i .. o — . o a: - I 1 a. > _i ■> o II <_• UJ ►- a «/> n i- z -j o u. n »- z x a a — Z O H Z Z uj X o •• Q — «- to to z«-> •» UJ _J -* x o i *-«- a: z H- Q. O -I H- O II -* r n UJ z o a •• z o II z z UJ 2 O a o o II z Z II 2 •_■ o o a z a u. a i-i Q o z UJ a o z •« uj at X K t- a. a . x o a O ll . z II 3 UJ Q Q C O Z Z a a z <* •-• »- • a. O a -z z -* II azz fc_ 3 3 o o -4 Q Q *■ zz a: » — »- zz Q. 3 IS CT O O X O O 2 LL tl to -» o to ♦ !-"• Z • •-13 _i a o a- a z UJ z Z II a z »- o 2 H O -i Q ♦ - Z IX II •• I- -3 Q Q- ZJO uj o a M o LU H Z 3 a Q Z UJ OQ Q Z u_ u. O II z < H *~ a. _j h- UJ a. o o z o UJ a K X UJ z > UJ z ^^^po^ mmiom^i ro m fo «a *. eo a o -«rvjro-4 v ir\ »o-«Nw«tin^^(>o-tini t -(Dn>o^rd^t 5£22S rvj RJ rvj S SQ rvj £ 3 SSrtmnfl2 ^^^-4_< -4^-4^^^4-«^ ^^^--^^^^-4---^-4-4-4-'^-^-^-H---<-^ — -*'-' - '^- , - , - 4 - < - - - J - 63 Q CO UJ UJ ■N. CO «- et • < ■i UJ UJ _i CO 3 > a i«r k- O. » a co CO z O X z V z < » UJ «/» » CD UJ _i CO _l •• UJ »- ■ UJ 1- z «« A z UJ » < a » LU > CD O z LU ft > >r • • ►- X v. tt > tc ►- z > z ~» O UJ UJ » •» < CD UJ i_) LU «-■ » UJ — « LL a > -J -* ►- >z > tt co k- ft «/) UJ»- Z ♦ co a O 3 LU K LU <-< < «/> K Z UJ > O LU a x K > CL X a ft _l o ■« •• Q 1— • X Z «: LU •~ M O t» a k- LU CL « z OUJOC t- > LU UJ Qf • — Z u X •— • _l q a: 0. z a > a. » Q < QT » Qt a * < U) _J UJ — 3 «— a < - LU » co -I CO ■ LU •— 1 CO UJ < z ■> U3 •• •-• s: y- Q QC «« < O UJ c^ > XL •» z I hiuO ~ _ UJ *~4 tt Z LU ■J" X K X Z O •• CO — « -1 tt X O of ^ ar tt a Qt < < > — ac UJ ^< O -~ nJ- ft z •«» tt h- Z < »» < u LU LU t- O LL X tt •» -J I — » < •» «— X Q O H- LU h- > > 1/) •> O — a. a co • •■ a. LL M ft* O _J UJ 00 • » z 00 a mm UJ rr z < f* Ml -1 mA X -j LU K- — » UJ •^ tt 1 _J <_) » O O a rn *- X Z < < z II z z — 3h < Jt < •f u a UJI- rO a — ' «/» UJ l_> or »- — 1 > k— — • "3 a 1/7 O co z » u LL _J — w '* t* X tt X • » t- z LL O U.X »-• l- *4 (— * < z • « < z Q. X -» -^ LU CC t» T5 < »- z r> u -^ UJ X Z >co ■< m X LU z »- < LU X Q ft LU < _l»- OZ »- ••O UJ JO LL z II a. at «/> UJ LU «-> 2: mm a X • « O" LU _J >— 1 X O Z — « — 1 >- 0. tt • ft CO 0* -J I 00 r> 1— i *-* ,» ■> cc X LU ■4" z k- -J X LU 00 .. ►- O 1- m 1— 1 _l «c ■4 O O _J ttk- ►~ — s: Qt- LU tt h* an — — cc ►- h- a LU a - >_ X UJ CC X • -J z -4 < t/> * LU a ZZJ LL LL -» < CO »- »- — z LL Q k- ■ «4 — ' •— • H-UJ »- k- ^ a. Q lu a. _J K LU h- 11 a. tt h- < 3 •» t- •» O IL u. • • mm 00 eo LL Ml —J CO £E < •-• »-l UJ < ■D •• _lk- X m tt -J _l O •^ 1— 1 _J < OXO CO Z » a. 11 _J O Z u. X < _i-i • ^ S^ -» _J _1 »- O UJ UJ — » < < r* z ft M t- _i -1 O V- — _l _l _i t- 1 K- m z >- a * p4 ec UJ CO < < LL li- Z Z UJ 2: < < LL LU T> tt — oc > mm* LU _i OC u. < K z 00 ft* ft* LU LU za O *— * Q Ohm - LL Ml ZX i-i « *«^ LU « • •X t- z UJ Q LU Q «— 1 II X > -iO co > _i «4 LL Z — 1 LL Z tt co co < n n UJ N *-- LU t- N ^" LU tth- CO -j « z -J X —I O. 1- a. — » 1- «4 LU -4 * CT 15 LL coO u. X 1—1 •• z •-H •♦ "VX tt •— • ^H UJ a O z z UJ a z a z LU l-H z LL •-I u> • * >. ■v Z —> -* -• \ m >!■ >*• m in ^ «t m (SI — 1 IN ~* ~* -4 -4-< > UJ -J r\ m «1 m ei fl »*l m m m m f» m rr\ ra <*» m <*i f^l rr\ m pri m m d\ «% m <*» i^i in >o r» CD tr — • ro r»i >t in - co & r> — < (N«* T 0 >o f— f>- h- r* r- h- r^ r» ^ r- co 00 00 00 ao CO CO co cc> ao o» 0>O K »4 -j «* »* -*-* »-« -* — 1 — — < »* .M —t — 1 -^ — 1 ~4 -* — 1 ^^ -^ <-* -* «-< -* -rf -< -- V) 6k Hi a t/> UJ CO CO tort I or o a. Q < X at < • co co co UJ Q Q < UJ x s: or Of UJ < H- I- Z co >-> ac UJ > o o cc a. < x CO •-4 CL + tort _» * Ol CO I/) tort —• M Of -I UJ o. z > CO uj O tort X o »- — UJ UJ _J > i- < LL CO to- ll. 3 tort a. wo co UJ UJ o o •• Of of — < < < _l _l to -» LU UJ en X I — ►- to- ll. - CO — of ** < — CO to < Q » UJ < X «- X — tort X -» Of tort < »- CC - to- -» X CO lf> to- O X «- tort Of T3 u. a u_ z ► UJ » < O - •»-. Z H — • ro ■-« ir. — »- a — a _j uj U. tort 3 x ► * CO X 4 CO UJ tort — CC CC -to H- to- — =5 CO (/> 0- _l co to- <. cc z z > < uj uj or to- il I uj co H- < V- co _l Z tort — tort »- UJ 3 tort CO -* Q Z - UJ UJ * X « — LU * rf> _l ♦ — UJ a. • to- co - A •• < » UJ to- _J X l- O < tort a h- uj a. Z Z t- - - _) co — X Z Q to- Z =) UJ o. CL + or to- a •• _j -J O UJ II o CC *~ K X Cc UJ _l z o a z LU * * * Z o z tort X at UJ < X at O z * * co tort •» _J < I- — < w 2 O. LU tort Z co O h- to- => O Q. O •• a tort * * * * * * * # * « * * * * * * * * * * * * « * » * * * » * * * » ♦ * * * # * * * * * ♦ * * * * « * » » * * * * * » * « * » * * * » * * * » * ♦ * * * # * ♦ * » * * * ♦ » » * « * * * # * * » * * * » * * * * » * • * * * » CC LU a Of a cc a LU o a cc a. cc < tort a UJ to- Of z o UJ to- X co • LU to- _l LUCO LU COto- -J CC _l O JO U. tort J*UJ a. X < CC to- »- < CO KZ CO tort LU x ujot H Xto- C-Cv CO o UJ Z -J Z cc tort r)Q X to-Z CC LU < UJ CC \- cc UJ Zto- a a o. Q.O UJ DLL or 3 • CO a — a: UJ * LU O -H- O^Z CC — to-i a. uj a a co > tort «i z t- a: ai »- a: lu < 3 « U. UJ ** Oeo o II X tort CL to- X D UJ Q. X a a UJ CO 19 z tort X cc o LL, CO # Z CL OX CO tort Z3 o — z a. o. » co a a- »- o »- h- tort G. •• Z Q ► - tort UJ «— •«» •• OH -rt «\J w O — «rt to* Q. tort ■# z a »_ »- jT tort z o u. a *: I-, o - Q CO — A3 CL o — 3 — -J a. uj »rt tort tort Z o •> UJ — k ct: LL) < •* LU to- X O CO tort < - X or — »- «J CO -J < u. O tort X z •rt LU ~ X X c- z o • II < a - x a CO - LL. -- c • LU to- ll a X o LU O cc »- CO •• a. lu o z — u. a or to- z ll a. uj O X — o <-> to- LU II o o < LL. O tort o o o o z (M (N M rg <*^ m f*> ro rr> <^ o o O o O O 4- * O -rt-rt-rtO-rt-rt-rt X »- CO \r\ ^to- oooo — • <^ O O in >o o o o (M as o O -4 fVJ P»J —t „J-rt-4-rt-rt»^-rt fM rg UJ O a. CO a a. a. > »- — o Q. UQ O _. _j — z >— a. uj ►- »- x Z 2 i- • UJ — < of a «/» CO CO 3 u. CO 01 CO UJ ■ UJ of .. H> *» a. < a • I- *» z _j i-i < • > o QC — UJ CSC t-hUJ «- z > Q i-. O uj O »- a: a co a * — _j co u_ _j • < K — O 3 a. a z UJ -4 CO •• o o II N UJ l-O «lt o UJ o£ O "■• U. -i _l cor a: a O t3 cc CC •• ft. c- Q. G. oa.cc z • t UJ O C9 t- a x 3 uj =5 a. x Z co z _ H uj 2 X M co k- u_ UJ z *- — _J c> • O co UJ LL Z •- or -» < -. CO — u» UJ » t- < < - » I— -» l/lD-* 1 UJ UJ w z x x •• of •■ - uj — M ♦- LTI Z — uj — < u. *j » M >_ < CO CO ft UJ — OC O CO < ec — I- < X CO _J ft < cm ro UJ UJ a- a. aa — X x *• w n — rx UJ w uj UJ -J ww a. s: x a h- u — «— z X CO •"• — X T u. co O UJ h- »- UJ o _l 3 CL Q x a On? o a. co x —* a. X o 5 x «/» — O O o Q. M|_ ft *■» Q. Q. -1 z «-i a h •• — a a. * UJ ► o — > a -» o — •■* CM *•* O «•» «- w — Q ■* Za.1 — :* «-• »- u- O * Z ft Ql/)M CD or »- ©- a CC a. CO or UJ B < ec ec or uj < > O X a. o o ec O uj -ft 3 - Jo.- -. UJ .. _ 2 w Z * uj O 3 ^ X a — k c_ Q UJ x X O Z a o i-i < - t- la - N ►- fM -J co co -I H UJ < U. Z u »-i o a o X z w UJ — X X t~ 3 z o • n < o w Xq 3 Z oo • UJ II o XK xO u. o Of ♦ •-I co o •• o H a it z u uj co a. if •- * Q- U C5 UJ u. if z » O —i if ^s. CO X • •• 3 O CC HO II a- o- o « u. "^ ^ II II x w -J t- Q a. O Z o o UJ 3 CO UJ CL CO -I < > Cf LU < • X Xi-i ox 3 OO CL X a. CO o a. .. Q. -» >-» Z -J a ro O z a z o t- X 3 Z -• OL -4 Qf CO H- O •• CO •-» o. a. z »- o— — o — *» > "^ !-» Q hlU-l-ZZ ZJS.MUO •-• Z I- o X u Z Z ¥- — o u t- * cJ Z v. aC •-• c. O i_ z u. o a: z< 3U a. o< O n — z i-t ii .. co o O ii uj Z O »- < o t- z < ♦ U. O a # o ■vz a a Of a. x O cf UJ UJ > O > UJ X »- co "* fMCM f«j O —I (M pu rr» ro tr\ r-i pg cm cnj i f\jr\j ^ITiOh-CO^O-'fSJ «VJ fNjfUfMrMfSJCMfMCMfNJ ~4 r -*■ «* •J- pu rg in CM •4- fNJ 66 o z Q Z < -1 k- < o- »- M» ii ^ z >t z ••» -^ CC — 1 "V OH ^4 •• UJ «•» M« IOLU *», < Z to * < -» «v o LU "• "» 3k * i- o »-> lo- CL * • • «■* ■jr >>. »*• • » ^ o z OH N a. ••> * •"> ** «-• •-" u hl-W ll >». cC t_ n t- Q. > OH OH Z3 _l # o ,_ _ a. n-a -J «o LU X •HO a 3 < ^ a. cc o «/» •• *•* >» ►-to r> o c*»- *- z u. > — " > »- o o V- lu oe 9* * ft O x ft. Q. ~» Z a oh > (V z _i a. i_ z — cc *- N C3CV H- •■* •"^ ** t_> LU LU OH • •> _l z C3 z _l »- CL —» ~ Q > LU LU < LU CC 1- < HO z H z • z o — a LU -J l-t- _J _l OH t/) OH —J OH CC • ho LU o LU * _i »— ftol »-»_J z < tJ 3 X < U3 3 o UI^KI qC cc X z z »- ^ • z o c U. U. > Z H O ^* Z H- to h- »- Z 1-4 Cl 1- Q. £L a • o |_ _ oh H4 Q Z # > o - K ^ Q O CC LU — »- — Q > CD z .. HO Q 2 LU oh _j o o O CO _ -h «/> — o Z UJ -1 cc «■» a -s >»- ►- -I Z U -J 3 _ 1 Z z _l LL • at LU O —» — • o O X a. *--> O " Z 3 Z •• iC LU LU < 3 OH -o 5C LU muz a z o t— + Z -» — LU a i- •— « to- to a < a i— • o>< X > OJ 1- -5 OH a CC — O S O c* •• •o a. _i * -> :»£ oh rg i- co a z to *^ »o O cC cr OH O^ » o »— o «o ~ o a (V — » -i 3to LU *» a U. o 3 -> -1 o- LU JJ Q O -5 1- z •• H- UJ »— t~ Q _i LU A II O LU z o -» z •• 3 to a X Ct Q. t-t LU LU ^* o-» o- > Z CO OH OH v)zuo.a z Z 2 LU u» — a X a 1- K *>• f- z a _l o * z □ a ^ CD o "" * LU LU a: 1/) y: OH o — < o- J2 -J < LL z z «• ~» — » »- o z oh _< at — ~> a «^ z tO LU OH »- z o- f- z > Q- o* tO (_1 — _J LU OH Q v LU ->z CC ►- •> Z X o Z LU z Z LU OC t5 • UJlL JJ< o X Z •- •• «■» LU z f- a lu 1- H- OH X LU -H OH X LU _J o«-» OZ«^^*J o a h o o II > X a •vl • z »-o to ~M • 1- X • H Id »- t- z z — o»i «», CO 3 Z II c < ^ to ec o^ o* OH l» "J Z oh H ox LU II •* -J »- z >» <. * w X a II »»• LU c< > LL -9 iC LL. •• »— LU UJ »- •s. r • • a: □ LU H- II z < t- X LU a o _J SC OH ••> Z OH t-t a 3 O UJ u. -» h- Q K z to OH r O z -J «/> OH cc -h Z ►-• co a o LU _l _J LU O < LL < Z) * a z u. ♦ < UJ > a a O * II -i ♦- oh >- to «v Q LU oh ■*«. O z 'va UJ a 3 Z lo- co Z > LU to *,«■ «* V ^•^*■«4 > '>♦^»•-t■«»•-♦■>»''*•^»• h-oo (>o-»Nm>tin*foa)ff'0 ^^ ^mir>ir»tr\ir\irttr\ir»tf\in J'N(N(NjrMf>ofv4J rg oh (Vi CM cm t in >o nO J1 -O ^0 vD n rg ro m rg * «»• «*■ ^ «*" «*• >* r- eo rg rg rg rg OH r- rg rg ro rg rft r- rg 67 a ^* •« a < — — K — Z •* » i-< •» «/» Jh o UJ < — •• Z >oc u ac uj a: ■ UJ > »- — ko a- n? • « co Zo Ok UJ •-» QC -J CL *- z a. z o z -1 3 u» •-4 UJ -J z n z < z Z _i UJ «»» »- UJ • < X u • » X z — u o 13 CD M -* CO U. • a UJ X H Z t3 „ o. + oc • • to co UJ a t- Q -i UJ A. O UJ a. a Z z z < O Q i LU w co a: ■"» u. 1- h UJ »- a u. • uj a. u. »-< >-• 13 z «-4 •— ' * < >s :> Q ^ * of UJ >v ♦ >v a >. UJ ►- * UJ -^ * z # *- < UJ z • UJ z a z a UJ >. a. w UJ "V a OO o -1 * a: a U1 z « _i CO CC < co< o a oc 2 UJ CO < M UJ ac !-■> LL -j i UJ UJ O M > X k- UJ x« e t- z I Of ¥- < > KUJ >— K u. Z co 1- UJ -J O ►- r u> a >— i CO Z 1- ac a iflZ UJ O » •— • a: -J oO z •►a a »• •• QC OC • • cc OS* • • or a? jj • a »• ac tf *-<£. UJ >- X UJ »- UJ « t- « u_ OO UJ UJ UJ —4 a. uj > -^ CL Q »- X •^ o. i: v. < o •-• 3 ►- — » »- »- Oh- a O z t» ZQ a UJ o ►^ o 2\-Z < * -J z o + _J o •-■z + _j QC Q. •» UJ »■* t*4 z •— i _J z»-< z o — • ao z O • » 3 • UJ > »— 1 o — » a UJ _ »- O-O -^ z _ «/> UJ X < a O* "I n a. 03 -J II * z -5 ii •-< X • * UJ ex t- t- ai — — • o »— • CO < *• e a » »- o a a -J ■»■» _) > o — . UJ ZU *» LU < ^ a «* of •» •v QC ■— u. i» LU ^ a —1 -»* < UJ — I >- «/) CD M UJ < Q > uj *: a * ~j o * -» o >-» z_ * -) * >NI •» h- UJ o£ * Z xo z — z — UJ ►— * «M >* a. 00 o • o < K uj •— * a II O"-" »~ II o * CD _l II o O H ►- — a. co UJ I _j _i »— > UJ «v * h-< CO K a QC CM UJ X WU.OI 3 — • *>- — » ^ o Z>> — » ^ «• o a. <- • Z (_) oc o r> a "1 *Z5 OO -J « a. a -5 • a -i a. t- - UJ -J a. a ** la. < ■w — ) *» -1 UJ — » -1 -» O * •• _j « _i • > »--J o ^ 11 «— • -J 1- u ■M QC QC _i ^: -^ ii z * o r>< # _l -J* UJ UJ a < # z CD CO »~ z h- o < CO X UJ ^ o OO >» *: *: >» * ^ o u •v«-> ^ ^ O. jj 0. t«i >a o UJ X • * •» O X o ii H Q *J t- • • UJ a ^ oc ►- U. QC QC «a z LU r>uj •- a i oo -» a Z_J z »- o o Cv D. QC X CO -J o UJ UJ UJ K a. z o o ►- K- Z <— a. »-• -1 u. H QC u. -J CL uj Z < X 3 • r 3 zz o LU X *-" 1- X o t- _l o hlllfl u. H ac UJ II II w < • •» •-• co H »- QC QC a K — V- Ol CC QC t- »- CO oc t\t f*\ «*• ^> «* ^ *• CO f»» h"h»f«-^"h»oDeoco 03 co o* o o fNJ INI t tf> <5 r» s O 0* O' CT> 0> o -^ m »*\ ^ m O O O O O O f* (*> n*» (*> m m 68 ••> < — < < OC 1 * * in uj «>w C9 UI Z »- LU -, — , * T * •• ►-i z O I n » * UJ H UJ 7 «UJ O to • * a x oc »-• X CO 3 — 4 CD • * t~ t- T 3 < OC t- 1- Q •• • * • » • * O Zu.ec SOIL O UI o z »_o I ctf O X H — _ < fc- 1 N * # • * o a in in o oc UI Ui if\ %« L- • * *- t- « o. > -Mac z Ki ~ ♦ > Z » * UJZZ "» < (_) LU UJ •— «/» - < — a: »Z UJ UJ » * M UJ UJ tn in oc t- x z X I"* -J z > UJ * * *- X > t/) uj UJ -^ X OC UI Z < X ►- 1- z 3 as « ♦ * _J >» •■* t>- i- o O OC < —je oo — a X z H «-« UJ * * oc aj t- oc »- Q. z *» X »■« _i # ♦ • ♦ ►- «/> a < z < z O0 o U. ■-I ac Z a? O to 3 a. < # * in lu t >— 1 m 00 _i a «-• < a. LU _. UJ CO Z > u. * * Z CO •« Q < i < ►- *MEDIATl E (10 < z UJ z n z H * • * * »- UJ Z UJ I a — < — < UJ oc QC (_) > LU < < oc Z ui * * UJ X t- UJ K-ei m < U- LU CC < □ 1- CO • » II n x _l t- * « OC h- X — < ** *» _l ■-I oc V- O 3 3 oc ft*4 »4 Z • * cc ac •-• >— h- > z o _J z < C0 U < _J oc •— • UJ * * 3U.UJ u. » (/) OC ft-4 UI ft-4 > OC H> * ♦ u n ■> oc < co Q U> ►- < LU UJ EST INTEI ),A,X(8) AXSTAR) CO UJ co CO X UJ • * a — 1— ^ z a in -» 3 OC X 1— I z CO X • * » * HJt-U oc a Lft •-^ Q t/> -1 ac u oc ►- z _J «J 3 UJ UJ • • * # X 3 < o -^ CO LU UI OC < UI •^ ►-• z z z ac 3 OC < -, * * # * »- O X a > a X >— < -J CO UI OC t— co ui z LU X z a UJ UJ Z t_ 1- < a: * ♦ ■# «/> t3 •-" 1^- »-i OC UJ LL < X t- >— >- *~ _j X X UJ oo a »- * * X Z X 3 -1 < X ^* Z> —> Q co i/j _j t_ t~ I CO • t X a. * * oc ►-« »"* "* U Z z >—* "~ oc < Z JG. Z t- — ~ a °t x OC w < a. a _i • • < co 2 < I— 3 ac UJ O * * UJ oc in ■-» » I-* u. oc ++ X z uc _J < o CO o oc •* Z _l * * oc >- a w O K >— • — z CO » < 1- > OC U. OC < o < \S) O UI UI •- X H- z UJ I UJ in X or — o QL * * o uj x z >- •-! Q t- u. 1- t- y- Ul UI Z •» z _1 in A _i x UJ Q Z UJ < o a. O 13 •« * * * * * # UJ oc OC O UJ 3 X Q > uj t -1 X z ► a oc UJ Jt t- I— o o in in oc tn UI »- co »— z LU X 3C _l -* ui a I- o- O o or A A —i ■• i— < II a c-U- UJ <* — » O u. < * * UJ a. UJ CO — > O UJ or X or o» a. 3 z K z a 3X3 O 3 <-> UJ _J 3 Ul u. CO y- > Q > z c * * 3 O UJ □ 1- z »-4 2 »-• — Z — LU w C_ — »•* a. UJ X z •-4 z UJ z < » * a OC ivj OC z Q- _ X U H- 1 1 X z UJ 3 w o * M X C a * » UJ o. »-- < f-4 U X — Z 1 1 _J Z Z o o * * >- 3 3: * ♦ o in »- U. w ««• e> •* K CO o. * 1 K- UJ » » o c/> tn •^ z u. u u. * ►■N M X UJ z * * oc >-h OC t- K UJ u. UJ •—I ■-■ »— Z OC 3 n •-* •— • X u. a: -J a •* or * * * * * * a. X < 3 >- »- O z UJ oc < —1 UJ Q %- ec OC 1- H UJ O l- _i < * ♦ ►- UJ oc u —J *- o Z 3 1 u. < o »— # * ♦ 31 D UI * Z 0. 3r a oc a uj a •-< u o » » •t SUhU o ^ u u o o » * oc M a * * < u. z * * h- o UJ * * t/> UJ » * X H * OC > UI •o o ^ eoOO-^ f\jro>fLO O oO-^-< — « — i -< »^ 1*1 rrvrorrifn M (^ W rt O O O O <*■ «t »t ^ »J3 h* CO O* •-4 -J -* »^ fO CI fO fl o o rsj o 69 ox CO »-t or »-z < z- k~x «/> o a. m »w x 3 It- u o «->X X XK o 3~ O h- QC 3 or «/» X o< Z Q t/> uoz X Z oo a: > ll < or LU I- »- UJ X XI »- h- o o <- 111-. _J a uj lu »- 3 3 LL a lu 3 rs a: K- K X X LL X z •-••-• a o i-i Z Z X •- O >—i-i 3 LU a. xx z 3 l I a. z I-I X X Z 3 < 00 LL O LU X LU _» LU LO ar O O oo * * « *- or 3< O h- 00 Of l~ O 3 LL O col- l-oo Zoe LU t-4 X LL -I 13 CO UJZK -1 * < < ZtO •— 1 a: t- < LU »- O CO * « — at z ar a z o o z LU X v. * or < oo o _J o X a of u. z LU LU «/> »M> X LU X * z X LU X 3 O Q£ O I- O o_ o O tf> LL H H L- ry 3 l-Z a. i-i CX or or <►- l-Q. 00 O t- 3 it <_> 3 m h- — or -• »- a. n o CVi- O i— ah t-z UJ 3 i-i £ — " a n x O 3-* _l~ Z i-i _i I ! - — I — • — — < — (-»- 3 3 X a — e> t- -i *z* LU UJ O X X V *- ►- 3 3L- - Z Z —> MM Jf- X X Z 3 A II LL II < 3 _j Z Oo Z O 3 •-• Z Z LL LL t-i m i-i X a. t3 %* cr ►- a. a. • O H ar ►- a. C3 LU > a x LU or. ••> * 3 Z «• LU or I i- i- o. — 3 a Z (JJ ►-« > x o or < or a -I 3 o _i Z •• < LL LU _J O i-i -J < X to X o _• I z X a ll ce •_ u. l-Z UJ — ' LU >a I OHL X o. JJOK KZ o »-•-« I- _JX X OD ll CO Z II »- I- 3 -J LL LU > o X ■• LU or or < a h- z GO < I a or -j < 3 »- loo X O fc- •» or 3 LL U ~ I ~ LU O Z a x x _l — lu or or oo h- ii a. n x o II a Q iiOa < t- o. z X 13 LU 3 Z ►-■« X a z < X o x LU 3 ~ Z LU X I- o "f t- — 3 « ►- ii a o n i-i «« a: z z 1—1 n X x »- or a X X ..33 zz t£ *-* t— < XX h- 00 A H 3 — — O (_> «-• i-i O ww o Q i-h- O »- 3 3 m u u w LU K- O -J Z z < U X a II x A LU — a' •X Z z i-i a x i--. <■■ « ^4 >_ O — _l O K Z 3 i_> O LL II -J O. Z O II »- 3 M Z i- o x a LL LL 3 Z .-. >.x z a- z a. 3 HU.O X • w CD 3 LL U •-< z > OOOm-*-*.*.*«*-4 -i ^ — mO o oo OOOOO -^-MPgfNJ f\l X co NCI -tin OSm0>r>H rsjro't' m>0 PsJrs|iM(M(NCMr\if\jrOro m m « ^><*> po r>ro •* «t >f ^ *•«*>*• •*• ro c*>f> fOc^fOfOo (*>po(*^f< rn at LU co * « <* * ec < i/i z u. oc O 3 H Q UJ z a UJ a • z •v < •• Q. 3 -I Z _J < < UJ x -J u x ►— » _J CO UJ uj > o •• * — o >. CSC »- c_ o- z a zui W •• O N-. x " .. w II- Q •• OC tt. ■"• CC z •■* ac *- »- o o < uj i < a. o. uj i— .. CC \- C5 u- > II CO •• o co • o r h- woz i n u x 3 O Z •-« Q nice U Z uj -J «: ii cc \~ < O O h- a. » X »- laoc jo u at z I 1 co X OOmI - < CO a. c- to * * — * cc a. *-» < a: u m cc z »- uj a: x 3 i_ z uj II o •• < X cc ~ Z >- CC Dt CO »- t3 r »- u. 3 ui •-i Z (X I o z I UJ > a x UJ a 2 * # * # * « « « * * * * » # * » » » * * * * * * * * * # * # » * * » » * * * » * * # * # * » * * * * * * * * * * * * » * * * * » * * * * » ♦ * ♦ * * * # * * * » » * * « * * at * # < * * CO * « X * » ~ * # cc » * >- * » * » O * # z # * UJ * * » * _i •• * z < — • * •s. M cc ■f * • UI t- * UI 1— t-4 • » X 9 m •—I -1 * * 1-^ cc _l < # # » UJ H * * > a u. 1- * * UL, CO cc o •-• * • O o — _J » * a UI ec — < * » ec uj cc UI CO — Z * * * * UI cc to UI MB, X J UI * ♦ X > a. z> — X * * 3 O \T\ z > H * * Z U —* • Ul * * * w UI X 1- • • z — # * X CC — » ec ►- a. m •■ K * * t- < in < O — a ^ ^^ # * «-« Z m Lft •-• h> -1 ♦ * • K-J •■* •-« 1- > -^ ►- KX — - * » -1 < > CO •— • CO — < _J > » * -« I cc ec -J >»- w UJ * ♦ U. H- LU < Q < a aC co a. _i * * Z K Z UI i- < > z « * oz i—i X CO Z -• z » * * co X *-• CO 1— 4 UI a i-i lA •. »- UI * * CC X U. UI X rn z cc ** LU CC o. z * * UI CC X i—i «^ DC UJ o X < o o # * a JJ h-l_ u. z T5 ►- a. .-. z — — • * cc 1- z 1—1 1— UJ u, •-• Ij- QC * * O UI UI > — CO UI Q «■* co Z t- * * UJ Q cc CO -1 ct UJ o 1-4 CO * • cc CC * Q UI _, »- Q »• t CO * * UI 3 O o UI •*> CC o —> UI O 3 * * *» OtUh •-< X cc 3 -J X > — CO * * -1 3 I- •-« i- Q u. < •""• Z cc * * -4 O LU Q < u. Ok UI o «u. t- u * * UL UJ x UI ►- o o cc a co r •• * * z U h-t- co _i o _l »-»- i- CO — . « * » O Z -4 UJ aC < o. >— 3 H * * -1 cc u_ — — < u. cc Q. ■> O _J •» —4 CO 1—* ♦ * «* O- O O •-• z 3 CC a, _J # * UJ a. •— Q co UI o ii u. -• » * UJ ►_ UJ — < CL _l »- _j 3 _J » * o X o _J a. UI o >-> a »- X * * o UI o » I UI _l a z UI 3 # # cc » J? UJ "V I- a < c UJ cc Z * a. SUJH Q * * •• a •v * •• »— z * cc *-* UI * UJ _i • > X 3 a o z -* O O O r »- CO r-i — • 0>- LTicnminLn o0 CO 71 »• * • ~ iC • X O t- » * "V UJ 00 UJ 00 • •• « * * _l 0. UJ UJ _| I -J ►- 00 • • 00 00 -* » * r -J Q -J ►- *- < »-! -^ < * * o LU UJ UJ l-l > -J a •». -j ♦ * * * * u _J < OC UJ Q Z-J 1-1O 1 »v rg ft z < -1 oc < a _l * * UJ - > Q O z > 0C X < a ►- z -« • * X z »- >-• Z Z-* _l (_) • oc 00 cm U. # # ¥- O t— 00 mUJIA UJ •- Q < oc z a z » ft QJ C* OC z UJ > 1- x Z UJ t- a UJ z • » ft «IK o a 03 «-i < U. T ■> •» a » • ft ft < »- UJ UJ U O «/> ~ oc 1-1 — 3: Q 0C 1- oc Q z CO >- i -1 —4 -i * ft i/> «/)>-* > 00 UJ UJ UJ UJ UJ Z 3 0. — > <-< • *^ OC C4 •4 » ft m oc oc a oc Z UJ > X H- -1 U 3 oo •* OC < * IL * ft HmOuj X < O O UJ X — x O »- to »•* h- »— • Z • * ft ft Z U. > uj m i uj z _l < z — aC X UJ UJ X OC < 3 UJ X * a. _i oo a z Z # ft OC — o oo < z ZH V) h- h- < 00 _i UJ 1- oc « z UJ UJ * ft or h- < oc UJ > •_ UJ jC Z-lw < LL —I < •—• > > X * ft 3 < UJ O X t- z a _J jC O 00 -1 a. 0£>- M LU H * ft U «/> u. UJ *— 1 1-. a. • z> < t- t- » O X < 00 X * ft OC -1 oc < LU 00 t- X z CD LU i~ -1 • • LU -» * ft UJhOO a o x a _j uj Z uj Q 3 •l a 3 z a. 03 3 _J * ft I to U. UJ x UJ «t 0C UJ _J UJ < •— 1 ■ OC • » ft 1- UJ z O X oc < > X Q. » »» * z z O ►- -» * ft CO • t-* u 3 H- UJ3Z X t» -H 00 i—i • •i * ft x i~ x 3: UJ 1/tM z a < OJ _) > oc t- u. »- LU n oc » » ft O I oo oc UJ •_> X < OC 1-1 »o a. » 1- z z — X * ft 0C Um UJ oo Z >- »_ UJ O0 00 — » Q. => »- JJ oj 1— • u. -J * ft lL«Jt- o »-* rj 00 »- ft x m _• O Q UJ > — • o. * ft X O UJ X 2: «UJlL z z3 a »-i 00 < n -- < U. (_> O0 UJ ■* oc QC u » ft WJ Q h- oc jc a. X _l z — > II — • < < z * ft UJ z UJ *-• ac •— UJ u. ••> z OC ft • • w H- ■• t- M * ft oo -» ■_■ iyi • X *•* X uj UJ Ul u. -J ococ 1—1 t- ^ — 1 oc 00 — • 00 UJ * ft O _J •-• oC 1- or cc O X I 0- UJ »- < X 0. ♦ •» < a OC ■ * ft O •< Q < uj uj Z *- k- UJ X »- CL Z ■i _J X „ w- z 0- — » vJ * ft • • X > UJ — »- ll h- H- < O 1 a < -J •- -i _l* 00 •^ CL •« * ft oc U«M J oo a MUJa; •• l- U 1-4 • m < • • »• a. <■— a LL _l • * K "» —» * ft UJ UJ u. < oc O 00 • OC X > — UJ z w a •—1 M »4 * ft o UJ H- »H > UJ UJ O _i Z OC m. UJ 0. t- a X II X z -^ oc c mm *m * ft OC a. Z <-> H- X 00 _i — uj q x •-< UJ < oc 11 3 u. ( « »- LU UJ w * ft o 3 •-• uj «-« c- z »- •— < O - •— I z > OC O UJ z < \- z O a —1 -4 O t- < fe- z * ft UJ C) < < z a- UJ »— 1 D z _l a. II It a. t» — ( * * at cf OC •_• UJ V UJ < x 1 00 _j ac a > — « •— • • * OC UJ - u. * ft D Cl O OC 3 UJ Z X a uj UJ O a O _i CD a Q »- u »- O •» •• * ft Q c- UJ _J _l •— « ►- T _j -J a X < 1— * 3 » UJ 3 O Z Cl < 3 ll UL * ft UJ V)U(-< a T OO 1- a. u — « — X _J Z UJ —1 cc a. H t>4 z oc * * o •— i ^ •— • ^ 2: 1- oc »- 3T O0 UJ _l »-l L- -4 • » oc UJ * ft O X U. OC a 1— » O X U. O K OC 00 Z a x O _l M 3 > * ft OC »- — o < 21 u. »- O •-■ UJ _j «* * •* *> * >*• ro «* >* «* *>* >*■ ^ •* >t * «* •* «*■ c- «* in «0 h- eo O -H cu «*• in t LA T h- r» r» r- h- r» eo CO co co CO 00 ■33 CO O O CT C7> O O ro CO (*\ ro ro m CO m fO tn ro m CO m ro m m m m rO 72 UJ D — < -» > at o U ID < ** CC (M or <-> » o — o ZOCOf -» • • z .-. ea- rn w |- o •_. • • CC ►- U. -« UJ «-> » O > -J — < ii a ii » r o o-h- -» c£ a. —• —> «— •» Cl tOO u. a _j _i «-. < a uj < DO *• O -1 U Q- Q M X or 3 I- Q. O -J O to UJ • *-• — * _jO.ro U <-• w h it: u. < UJ KJ •-< to «/> UJ < Q UJ x of UJ .. UJ — o ac a: »- < a. -j Oi 3 oa at if\ t- fc- — CL •-" U. UL Q - • UJ < 13 — •« oc rsj to Oh — UJ ZCL CL Z UJ _l — _J _C Z -3 uj a ai O O I o o I- o o z UJ X •-> O — " o.x Z • -I -I CL o n o I- -J Z < z> -* > z n z I-mU. « x „ ec o .«_£ -JO < •_ > — Zl- I -J H o -J II < X > t- X _ < rr Z O z •• UJ — >x (_!•->•• a: > at o H O 1 LL _J < < > < K- < •• > M Z -» h- J _J -I > X .. «-i »-• u. a ii ec •• I- Cl CL O _j o > II -J < > Z ■— < z •• Z a LU t- X CL > a: A l- -J Q- < u. > • z o l-» II Z a. I— LL Q- > Z I < > X < z * < C_ UJ UJ UJ ac o QZ o ZQ UJ X X l-O I— « QX Z -* _) O to CO . DO # -» a z < > z •» z CL II O Q o z _J D o a _J CD => O z UJ UJ • • CC UJ — K-J o a uj II _J O r — CC -J * »- <>* CL > .» _J • CC — O Q. u U. O _l i- a o -J Q a O O Q a ec o -J < •« < > «— ■. •» > • c_ «-• ►- (S k- 1 • » »-4 •• CL X — > OC V — _l -J QC o CC — Q. »- _J >- O o Cl z < a uj z _l D3 > -J > 3 «_• Z z — a z cr. •— • •— « a: Z ii »- z z 1— UJ .♦ X Q. — * — • CL CC -> _l LL z U. II CL • LU • JttU t5 X -J O -I t- z II V- t-< II < CL _5 CC >— i X MUJZ *» Q. _J X UJ ■3 X _J Q UJ _l Cl z v> o. O LU -J UJ • » z □ o •• CC Z 3 Z a UJ K □ z •• to Cl 1- LU a o o o o LL -* o X II il _J o a »— < t- -J *-* * n CC v. • • o o LU I/) a o z a UJ i o > UJ Z to 9 1 (> ff 1 O'O o O OOOO o o rt «i ir\ m vt J"^^->t >»■ >*■ 0-< —i — ■ — < — ■ «^---^^ -^rgiMrvjrvj fNjfNjrsifsjfMiMmrA mm 73 o. LL CO z UJ Ul co a u. a UJ U UJ _) •• in- to-* O O-J CO • mO .._) w O CC Q ~ uj u"> > z — a UJQ.U Incc »-*o. co UJ _J Ohj < r>< a a o z UJ to * UJ Z CO O -I H «* — > T •"» OC UJh UJ X— *- I- > z UJ -J CD < UJ -J m < oc < > — z -* < a i ►- a « z ^ j — uj * »«* oc >"■ • » ac a£ — *< r> uj x «- o > -J UJ O a- x o o — o z OC Z ►- •- U. UJ UJ Z CO — QC O Id < < I h- •-• fc- O — rt • co ►•< o I UJ •» — c_ — ••or *j -» e? z ai o _j •- *: x •.* i- q x — a < •• co UJh -UJ2h > CO ZZKWZh Z => LU <-i O- O U. CO x x o or a o ►-a: uj h- u. i- u. U -Z <»wz OUJm _l z < -Qt- »_ w *- Zcc.cc CO CD D => co co H > CO UJ ac -i •• a Z OH + Q O — < .-. Z. U. — uj a X I- > *- oc z UJ II ~ > CO ►-• z o - O Q. >UI- O co o * < o»v _i > r u. cot- az a. — •-< coh- < — _JOC t- a co t- en 3 -»c0 •- r a. uj >-« Z i— ll X < X o Q • I -« -♦ •• — I » • CO - V CD UJ CO .L- Z ►- hWO co -» Z < ii «■* < a. o- a > co o O »- a. ii o ex. < t- CO # < II .. CD a z o uj a — a < OC I t— • CD CO CO » CD3 < rj a. » co i_ r ii z CD < UJ v~ _l * w M ^ QC X h- 3 .. CO S5 UJ CO CO I a a UJ Q UJ UJ a x UJ < a. CO •• O OC X I- a. « O * -J - oc z z < »- II 3 II CO < c t- a -z o_ z • UJ tS a z UJ o z z UJ oc ac => OHO. U Q CO O i-i u. a z _i — •• i_ uj o < X - ZK CT c. ma:< _J w 3Q •• 0* Q. h- S Z hZ mUjoi UJ ♦ Z X. OC z co oc co O h- A JO X O- t- _l»- UOK T? < O ih a u o OHO. < i-x o. * o u. oc . h- o. • cr X H •• x a. UJ !-• »- X OC CL < »- O Z • X o — > X X CO 1-4 Z ac .uj h — X • OhO _J X — o O UJ A CO II -I X uj oc a: O. X o => -X z o — Z O LL UJ X •-• z 3 o a T a z u. * O a CO UJ »- ac Z uj UJ > •» x a o UJ U II -i a UJ CO > »- o cc z a UJ UJ X a. > o O ai u ac o. 3 UJ k- Z " UJ o CO • II UJ o o ac 3? _i * u. z -*• «t >t >t ^- ^ * 1 1 «t IA iO ^* co ct^ o rO 1*1 ro fl m ro ^* «» ^ >* >t «*• «r >»■ ^ — (\| CM ^ eg >t «t «t «t >t >*• -4 (SJ CO >*■ >t «* ^J- >t ^J- «*• in *■ vj- «*• ^ ^ ^J• f*» eoCT* O" - IM m >t lfl<0 N >*■ «*^ cnifi i/i if\ in in ua in OO "^-J-4-^OO o COO x O»^o so o %o so o -o o lh UJ_j !-• Z -» N OCT — Z X _» •• a. co o- zo UJ II ... wO — e»z * x-« — OU. ai z Z -< u. •• o o »- u. z o a a •• o -* +• z a ai > x o »-o x — o o a _j ii «. a rs X u ts. a u o z .-• UJ a z a .- a jo <•> -. j o a U i _) o zu. -■ x + OU.O oz z o -I II II H u.3 _j -i a a. o. a Zi/l i/)i/l m « •— •-< -J> > > •• -- n o o a il o u u z ok s x UJ Z O uj 3 o. oo ►- •- o -I u. «-* o u. z z • » • * a. to Q o£ ai -i > < o a -i < in o mZ 1 < »- • «/> — I- t- z .-. UJ Q > .. uj ai o O — jt (M UJ Z w 7 uj a. x .-. - »- * CO UJ u »- < 3 a. a a Z .. J* -» O oo— Z * to of w _ < UJ i~z a» 00 X a a o to UJ X z -* -« <-* 'X- — • u. H a a. —• u. UJ o O cc a UJ Z O. Z > a -» o o •• a » cc u. < ► < M|X M Q < Q ZK z o oo a O O O - Z - — . a — . uj . x » — ^ ac UJ (M m Z— QC o«- X »- * 3 00 Z «4 » N ►- - •-• 3 o. o_ uj Szi — UJ M •-• I »v — h- »- ar X O to a a < Z X jr •- u. »- to — 1< _l UJ » ~ < -» u_ a z UJ a. o Q. O u. o z 0C rs UJ >• IX z ~i z> -I »- < UJ U a. o _J >- » uj of oc co < uj < > a -i Of — . O — X uj r- < CC — X — z a: — # > CO > H > CO a z uj uj oi I UJ *- S - a ec u. — I u I uj I Q I — !to z a. Z> I I- I UJ I CL I I — I x I \- I M I CC I o U^ C5 -< z «» >-• > at OC u. < to Z 1-4 •» CO O Q H- UJ < X t- *— to U. — < x a c/» — . 5 X -J UJ a. > o Ul z •— < u. UJ o Id < ac ui 00 UJ -J CO < cc < > I UJ CC I at o o i rs » uj I Q « Q I UJ — — — uj •— CC I— a UJ a: < _i o UJ Q ar u O t- cf II o -40 • n ►- -» o x ^ s: i-i «- a X UJ z < z - 2- U. O * »- U. > I < > •-< ar o h cc _ ..3 QK •• O Z Ul -» o uj ar ar u x 3 Z Z a: 3 — of a. o > UJ O ^f^ M hn NH OO O O O O^^ .»• •»• * ^» >* -H oo oo ooo O -^--O O •* ^«t ■♦un »r\i/>tfN m mf>u^ \t\ X ,0^»r»f»f-r"-r-r-r"-r'~cococo cooo t/^^ol >> -coc^ o »*c\i rn j. u>>o^- o»^ «m oo co oo co a> o* o^o^ o>o t> *e* o^ ooo o 75 > H > Z Z * -I ea at <■» — < >> > uj uj I ec at * «. o. -» -< I *■■ ► >- —wo «/t a. uj o >z o zo x Ha 3 Z t_ «/> «-l OO < CO UJ H = •"* oe X I- n m •• CD X *V •-• — — z i of k •• 3 Q I- •• O Z UJ — o uj or m ac u UJ X UJ O o «-t to LU o o z o ac o UJ »J X I— • z UJ o < a a z LL * ♦-. UJ 3 «-• X - v- • Z 4 > u z UJ 5» I »- o z — u. h- * -I .» X * — O X X — X z * I-. > n t- > o z z UJ t/> X > or UJ H- D. U. _l o • to — >- X X _l O Q. »* a uj z X to UJ U3 * Ol — U uj Z -i N M u o o > ■ * 3> UJ > N O ^ u_ .. »- u. > «— > • i-i Q Q K "z. -* o z uj uj > Q uj ac ac •-I -» o x * s: ►i — a x UJ z < z -* x u. — o > * ►- u. I v. <-> — -"• Z m or — ..3 Q »- ••a z uj -. Q UJ Of a: u UJ -J a X a a * x5 UJ > -J a u. x a o o «/> UJ z o •-> z < to at at < a. > O u. 00 Q UJ U i/» Z uj < O «-i z a: < < QC > X X lO lO UJ UJ INI 1SJ <3 UJ II X x r > •-• »m zee z z o •• •-i >-i O "" ■ X X »_ U. > \V II .. .. O — -. Q af a z Of .. => O K Z UJ UJ ct < n -j •• u. of UJ O Q UJ ac a o uj o Of QC < m o -• _J — LL > ac o < UJ Z Q •■* w 03 tO Z Q Of UJ r> x ^. ►-• UJ LL Of -» of Of < < > > «-• •— ' » w Q UJ Z Of «-■ a uj uj U oi o < af -I O. U UJ Q O ac Of •• K — . UJ — Of ac < z > uj •-• X — »- > UJ — -I — Z of •> < — > Of M •• < > > ffl ^< UJ " — -I -• a z - > » • z -* o » • z »— LI >-< Z uj of mZh k- u. •-• af to •— ^ X u 03 o of — D •- Q uj Z af i-i Z O .« uj Z Q I •- Z ... !_ ^ uj O • in T O II -* ~ u Z Q * af < Z lt k- O of ■-■ af co »- li CO Q u. o r> o z w flf VI 13 UJ m ac < z of co UJ a o Of LU o x UJ « ac u. < — . a ac -j < LL > U w LU > o uj — _i 00 z z •• Of -* 3 — *- > UJ UJ Of _J •i ~ > ac uj < _i > z UJ » at of 3 < Q > uj »■« O — O Of UJ a. of < _j " u UJ uj u a of < > > UJ ST L- WO m m i/>m m inininKMAiAiAinuM^ m miriin O O OO O OO.^'-— i^-^^-j-< _^ _j f\j (\| m u^ mm u> inm mm i^m i^ inf> m u> inir\ m o ** -4 -* O o o in vf\ in in u*> in o o-*<\jr , *i,^in>or». cocr 1 (Mf*>rOrrif ri rOf>f r l(*^ W (^ m*nmmminininm mm * * * * # * * * >. * "v * # # * * • * 1 * * » * « * # »• * * # # * « I ♦ • UJ « • a * » > •» * * ^* M X. • # ^» * # LU X * ♦ * «» » * «■» 3 • # z —» » * IS # * Of 3 ^ * » *^ 0* • ♦ > • « u. LU ♦ * an, UJ LU * * o — o » # _l # * o # # m a. 1 * ft oo II ♦ » ac o * * 1- UL # » < z > * * z O ^ # ♦ > UJ ■-• X — »- > UJ — < # * LU at # ♦ ^ * * ^~ l- H * ♦ oo * * z z Q. •* * * •» CD # * a LU O a # * •» a < • * a X — •—■ # * u •-* z oc Q + UJ * * * * LU OJ _J CC < * * * * < * < z o * * X UJ Q. ♦- •• * ♦ -» > UJ > # * t- LL (/) ^ * » oc <— < — I n LU # * # # t— LU X • «» oc * * > > >-• LU w _J Ow Z o » * =5 »- «^ U> ►- * ♦ < o > z * ♦ * * * * a Q Z LU > a. o • • • * * * # ♦ > - Z -* • • LU X * ♦ * * t* z < Z < i- z oc » * » * o 4- t- * # cC M C* ^4 z WH a. * * o LU Z uj •• z •-* > UJ *-* — o * * • • LU a aC a. CL 3 o. ** CO •• • O * » o ■-H Z oc a: _J H cc * # a (J o ~* a. * * UJ < o *- — ^* GL < > t— 1 oo Z II > •-4 > UJ -t n > r *— • • * » ♦ # * o LU LU oc LL 00 a CC < n LU X it r ec t- UJ o. > u. * * * * * » * # * * o cC t— CC UJ > _l w ~m > » * a of rs. I-* o • > o CO > UJ _J ►- GO CD _J z -1 z UJ — _1 > LU -J •• ZUJ * * * * * * LU CC 3 UJ UJ OC OhO O Z LU LL 0C CC QC »- a. o a: C3 II > < z GO > UJ Z LU _l uj Z » * ♦ » a LU cC Q. o Q. w _J ct * * * * * * •• o •• o Q _l o (_} < # # o CL 0l o o —I h- •• • n z t ^ O h- LL Z K LL. > l-H * * a oo LU LL UJ •• -1 •♦ # # » # a X UJ UJ < *v < II X z oc < * « * « •— » go > l-N •• H •— • .. z> < o » * •• jr _l oc ;t t* Z) co » * uu a: H- u. G0 «-H > UJ Q O QKQ > -J # # IX ►- co U »— a »- K ♦ * > UJ -J _i a z o z > a uj < Q UJ £X UJ •— * 1- 00 LU # * « # * * < »- WO * v. UJ CD X UJ Q a a O Q z LU UJ oc a ♦ # ♦ * ♦ * a 03 * * cc z # * # * Q a * * a. UJ ♦ * z * z * * * » LU V. LU * # > LU Z OOOOOO— (NMM^OO^^OO O 0"tlA'0S»C v O-4(Ml'>>tW'0 >*■ o oo LTI in o Lf\ m sO vO sO o ^O ^O ^ o 77 « * # • • mm * .^ * "V •• < UJ * ♦ a • Z • * a < "v -1 » • * • • » * • • z ►1 LL a • * • • z LU » t*\ z tO W> Of » • «»z X • w o • UJ < fr- •• -j * * LU •— " ►- UJ „ LL •HO Z X X — < * * t/> Qf • • _J Q m »- _I •l => mm i- « * «/>»- mm -4 CD LU <. < • UJ Z Of o * « < «/> < — 1 < »-4 X o C/> NJ •> fr- 1- » ♦ -1 m a I— 1 LL mm f UJ < 1-4 • e- * • o > mm CO -o Of ►— m O fr- IV) N er < • • Of «M a < O • it. < z •» * * UJ < v. CL > > LU * z •-• or Q •» Q • * * X z* LL » LU CL * ~. u • < UJ fr- z a * * *- 3 * • • ^ -J # 00 a •fr- x z < X » * | • < N at z ♦ h- O to _l WO X "-4 » * x«x mm ■ mm A » > Z UJ t/> «4) <-4 • to z » * lj- CO Of mm M O •■ • _) LU fr- < M UJ Of o K »4 * * H4 o m 1-4 -i mm »- > < • H fr- z Z » » SOU. mm » LL «ai »- a LU M UJ •• • < w LU o » ♦ »- m • Q. — LU > I mm ►- •-" *« fr- oo fr- > UJ * * a of * • > to a Cf LU •• UJ t- < Z Q mm < LU Of * » uj z a mi o z O uj Of > < ec w UJ UJ *% a 3 H4 LU * • 0- UJH m z ^, CL a a l- CO O •» > X — • UJ _» X 3> * * < x u »» • » »» u eo < CO Z •» UJ Of m Of LU o « ♦ ■-4 fc- LU «» mm »-< __ (N z < a < < o UJ •— — . < •^ z u * ♦ a > in LL z » M 2 o o fr- u. (M t~ Of « * * a to -4 LU «• o CL Z uj fr-OC -« z z «. mm GO UJ •» M 1 » * •* V »4 a •-4 Z 3 < •b I-) >-4> < CL • • > — o a * * WO-'m > 00 LU M m ^: n O t- • cc ■> ■_■ oo a — —i z » ♦ < UJ Of < •• _ LL -3 OO "J • o «/> 1 UJ t- mm * UJ — o of -4 * * >UJ < -J «« ^ * ^ 1— t/» » > oo m VI X < — t— LL LU * * (/» Z CO z o CL ►- < • • •• CL I- fr- Q mm O uj — 1-4 • UJ CL Z OC •• * * • * I- o >-4 s oo »>4 m OO > O0 3 a Z UJ fr- a o LL fr- t— mm _) a » < -» » * z u o as mm a Q — • a z a Cl o •i Z < of « => ■* ■-4 X m < ♦ * Of UJ 1- t— •• Q. cu m of Cv «• ec •« UJ < < a. LL — LU «* to to » * * UJ >Q a N4 ^» «» .a LU o Q o. < CL • _j • □ LL K-? of (-• — . * « a uj z a LU Q X k- a X 1-0 H-U. Z •• fr- UJ « tm z ft LU Z >r * ♦ of < UJ X LU — 00 1-4 <-■ > UJ mm * ♦ a UJ z *4 UJ ^4 ^ -4 ec of O — fr-oo mm X UJ •— Cu • a > LL # # LU X -»D LL — z _J 00 N4 n LU TJ fr- H a. uj a. >- CQ O k- u LU m * ♦ Of »_ # i/> »» «N * -5 O Q >• •— 1 •— i C7 X » X Z X ►— 1 < ♦ # • to — > _J — o m~ k- * of UJ _J a o x uj < o ~5 _ UJ *- ("5 a • » ♦ * LU Z _l< •* a Cv 1- LU 15 w a a O 2 UJ UJ »_j •» Z • I CL LU _j •» *^ * * Of •- a m. X 1— » o Q. LU a UJ Q UJ - a. — . A * t- LU a ■* * * x> X LU "5 < ^ -• Of of z — » ^% of X >}■ * > -~ t/> -i .w * * a tO < Of » X 00 H a. f» •— i < o «— X » * CT O CL »-■ » z « * * Of Of »h- UJ a a o X v *: w ^ s: mm < i<: m« z a * ♦ CL t V Of o UJ 1- fr- oo to rj »/> _» i/-> of _j * * O • LU < H (J ■D z -1 3 o * » o • > —J mi o O fr- K u. < H fc- i»- # * Of »tu o of * CQ T> r> u. •-4 O 3 UJ of * # CL mm UJ a a. N. < a. Q. 1-4 o. Of a * * « t« ♦ 1- o Q •• a * # u 1-4 O CL a z » # UJ X «-z _i UJ * # > ►- LU — o * * a K- < * oe * LU V. a. •v Of oo o o o o *• 4f ^> o o o O 0-4-4t •♦»*• X l- 00 as >0 in ct> o m «m i~> •# \e\ *r\ u> in vo tn m 00 ff> O -4 Psl *■ f*» oo oo oo m «#• in srt h» oo o* aocoooco coaoeooo aoeo m m ir. in lo in mmmm mm Q. o X UJ CO UJ o Q> zQ uj ^ o z UJ * * * * * * ♦ * # * * * # * » * » * * * * * # * * « • * # * * * » * ♦ * * » ♦ * * » ♦ » * * * » • * * * * » * * * * * » * « « * ♦ * ♦ * * * # * # * * * ♦ * * * * * * * * * * * * » * * * * * * * * * * « » ♦ » ♦ * « * * » ♦ * * * * * * » • « * * * * * * » * # a ac o UJ a. UJ (X a UJ (_> o ct a. X < o a < o WJZ ui«-> w»oc >* «/»►- * _i • - fr- ee < uj < x IZot J-3 o I a. Xi-. I_ CD < •-• X xa x *- < a o UJ x »-uj Z < X <-■ O UJ oc a 0 CO UJ Z CO < < UJ X— UJ ►-♦ ec • < Z_l !-»<_> 1/) x i- co UJ UJ UJ • »- «J • 3 O • Q- a: •> Z a.— •_> * 1-.0 X — H- UJ U. > 03 >■ at < Z a •• X ~4 •■* O UL w — > << >z co»-« »ao X • Q •-< UJ •-• X »•* .— u. nr < a * — z fM — o a. »_ •— • x ~< CO H a — z u. w • > j_ < <•> ai z * -« -J •* uj — . I z — > * »•-• - u. m«w — • a > t- < • •■ — < □ LU .. _ - CO X _J — a — a o ii z •n uj to oc »- —i >v _ — UJ < -5 I- Q- X i>l > > n VImw II Z CO -1 •-• X — II _J CO •-••-* Ml CL UJ n CD CL X w O uj a o z LU o UJ a o II X a a ^ o a. q o z Z CL LU x o a UJ z z -1 < 3 "v a. o * * x X CO * o •-• • * u lu ot: ♦ * (O X lu # * o > *- Q- » * UJ < a * * — CL Z 3 * * ac »-« • • X < X * * fr-4 •-• Z3 x* * # X z X * » * * *m 0C «-i a * * -4 _J ++ X UJ * « LU X < < < z * # ac * a- X L3 * * z o UJ »-^ * * mm a u. hQ uj -J ♦ « m* « z > < * * a y- a _l 3 < * * UJ < LU O X ^ * * a (£ l- LU CO *■* # » ac UJ < X ^ ♦ * * o o. •-• h^Z ** * ♦ UJ o > X Q t- * * ce LU U->- M •— i * * lu a: o »- t co * * — * X 03 U. — -^ ■ * * X ►- CO at a oo a to >•" * * z < — a 2 _ 1 * » * * * < Z a. 3 < •* »» * * X X z CL O 3 r> X LA ♦ * a. Q£ < ■-• CL CO ac — -^ » # p. O Q t— LU LU •• *-* * * X U. Z Z •-> X cx t— "• V * * •-! o^ •-• n to ►- LU z » ct * « » UJ o o o ^ i-H — < * * o a. Q co a. a h- Z * * UJ UJ -j _j LU •-• »-4 * * « lu ac LU LU _J 3 CO CO * * -* ac O I X < r * « LU 3 »- ►- 1 td aL -. a * * «* Q to X LU O LU * * UJ LU to CO _l ►— i CD LU X * • CL O (/) ZZ < 2 X » »^ * * 3 o •-• >-!•-•> »— < 3 — LU * * Q CL << a Z Z LU * * UJ Q. »- »- h- LU *■* — • * * U _l Z Z K C LU — # * * o to r> o a 2- Z T — * * ec •-< to o o •- < X * * 1-4 »-l fr-4 —J < * • LU ^^ *^ o o * « # X X X X UJ a ♦ # "V \~ •-! CL z o < # # •• UJ * • X ac # » * * X O * * z n w UJ —1 *-r «*>^- X to o> O" Lf\LT> o o> tf\ u> in O — « — ' POf\J'^ <0n a a> o ,^psjfn>*Lf>ON.co o^o^o^ero ooooOooo vr> if\ ltv la -o o>ooo o o o >t o — •o 79 o z •• i/> lu a 3 a z » of Oc- a. 1 — LU * V # # o LL °3 * * to «•* -• • LU M •-t «4 •>» * * ^ X z in X ■ •4 » * LU 1- 3E • ^ «* H- T • * # mm a r- * _ 1 • X * # o >of CO > a o • * « COX •-* • • Of z LU O * « z l- _J LU < LU »-LU » * 1-4 Q Z Z flCr- • ♦ LU LU LU •* a p» •* «a < « * * O H-of X « eo »- •» .. a. < * • -J Z< MKJ a •• ^» «^ «■• ao — q. ♦ * < LU LU HI ►"• -i o — . — a •Pi mm • » • of — # * > CO Q X ►-►- a LU Q a. o. o a a- QOHtf * * Of LU LU H- < < Z X LU •— • i— > Q mm z . »- « * LU of of >-m- LU CO M Z » w z MM LU it to t/» » * »- Q. LU X tOoO X a • LL O > >LU >• -DOB * * z LU > a r- LU LU M LU LU X LU Z to 3 * • mm of a of Q — > z "■ _J -J -1 1— -t z r to * * o LU LU Lf\ <-» a a x < z z z ■~* — • f * • of _j z — Q. u •» z f> »o ■Ml Z LU — * ♦ LU < to a o — «» o • «■» -■» mm LU •-4 • * « JliJ .. • * mi >-l UJ *-• > • 1 _i ^* «-» X a. a. »- ■» Z m _l * * _l Of < 1- -J of z < a •» a •• o < i— i .-. of o o x «-i ai * * Of LU > LU < < •— • > —• ~ z <— «- < JJ N4 i I z * « •» < c-Of _l z • Of t- -» z-» K _l a. Q.Q. r- ♦- 3 o * ♦ LU Z LU LU « •— t O LU 3 O LU < z > > Zof •— 1 •^ ■" * II » * of -* t- a • —4 CO i- a 1 LU X ►- ~ Z 2 LU < CO xi a. -< — • * # LU CO z a — a z >•-• o t- » •> X O. a - — 1 _ ♦ * Q X LU •— to lu K Q mm 3 CO O •• l-l O •■* —i r- r Cl -* — 1 * * CC a X >-« Z •-• LU Ml a LU X -5 — 03 LU LU LU _ i « > V X # « o LU ►-co Offlx •• «» 1 ac Z UJ — to w — ' t- ac t/> ► UJ CD | * * LU X 3 > i— i mm a LU X Of LU o — at a: a 1- •— i -" -I -> * * Of o vo □f _J -» LU " » •• ~ z »- 11 X a. — I- »- < co X IUZ- » ♦ * CO «-i 1- < -J -i t- mi »- lu to CO Q- •» • »■ «» co r- r- -< * ♦ ^ LU > z 3 — ■— «^ z CO _J H •-• i— .» S3 CO — a. 13 1 aoa* ♦ * a Of LU LU aj — QO. O LU •— • * LU ^ CD CC 3 3 « — i Q. •_» «/l Q < »-»- X * * CD 3 O af * Of •> LU ^ • >v z u.-. • < > CO CO *-• — H Z a. » » * w a < o. CO — X _J •• •• X *- o X & z o ♦ > M UJ «* -^ _< —. •• * * LU UJ of h- »- »- X m. ■• • • II II LU N a X X + 1 X z * * Of o LU > M <— < •. •— • CO CO Q ^ CJ -» o o »- x u Z O LU «/> to Z o * # 3 o > z CO LU » • - t- — a • LU t- o -. of z -» Q. » u. a a o w •-^ # » a of o < Q -I LU O O LU o. Q a. »- LU LU X o Z Q. «V X u- * * LU o. u ■z a o x • • m* * CO « a: —H t- t- a ii Z »- »-H o <-• »— »- «-i P4 # ♦ o < co of —> «» w < •• ct cc — II M »-l w to •*> ♦ » o to LU • T - II II II 11 — a. u < < a. x X UL t/> co £E at O * # cc ►-« -J Q. -» LU I-m LL. »«• ■»» o a O. •-■ z a ►■^ O n ■ r- a Z * * a. T co co LU n ~« ^» LU _J LU Q- •— i 0- Q. -» X CO 1- a: •• ♦ » 1- m< •— < J3ii 1 •— 1 i- a o 3 to 3 K X * ♦ * # M CO Of CO t~> o -1 i_) O O ►-< a. of z o CD O O CO X z LU »— 1 # # LU * O < LL. LU X X o z c l-LU a. z * « X •s. a a o Q KH Q 1 * • u o o * * LU z z » « I LU LU * * * * * a o o - O o o O o o o «- —m eg (\j sr * >*• *• .*•><•»*• *• >»• «* m * ^ >t -» ^« •t ^ ^ >* — 0 CD o — *VJ m ON CO t> Ox -< -< — i —* —* ~< -* ~* _-< <\l «N rvj «N CM CM m l«^ m m tr\ ro po ro pn m** •o >0 v0 •a -o o >D >o ■c >0 «o ^> O O o ♦ *- . UJ »- «/i oc ~ •• • _i - -4 «/> _l UJ 1 * > .. »» CO z * • • -> to* K >» co o o UJ _J «» z -4 M _l > UJ «-. UJ m * o * X •■* X OC ►- It _J II UJ X UJ •• * oc a h- ■■* -J •■* •— • oc •» z — 3: •» -» o u. N* — J It O -> — 1- t>4 o — oc •^ o ac a. o «— X -I _J a UJ 1 j -J »- :* *: o »- «/> v * ••> Z « •» •• ** *< ♦* •-^ -J I O ► Q o — O CO »-»--> a Z a. o Q UJ UJ M -. u. -* J UJ * • l-l * > -•^ H a H UJ H LU U. X *C UJ _J «-. UJ "»M UJ CO ^ — cc -> ► 3 »■* a O— OC * O z * UJ UJ x >» O UJ *». * * »- > o X * L_ * >< co V- • * _i Z * < LU * * > * * QC LU * * UJ a- * * 1- a. •• t» * * * * Z LU UJ -J • * oc oc • » •* _l o a * » < z z * * z > •-« t-» * * a or ««» V * * *4 LU * o o • a i- o * • * * * * * * a z l- H o •• 1- o • » * * a uj co « » O X "i z _ , ^- z M * ♦ H- -J • • UJ X *1 -J •• UJ X ■k * * oc UJ > UJ »- -i -J 1- "J * * — < 02 sc T o UJ SC n o -1 * * * * -j QC LU UJ •-» * UJ •^ X. # * < o co a II to a H * * UJ < o. UJ •• II a. _i • • N * * QC < X. ■— < * — • * * co LU _J -4 •— < M -J —J i-< ^* * * i£ > -1 O m LU _l o » -1 * * •• a o o K + —i *: o i- + -5 v: * * UJ o o mm 1— • o w »-i # * cc I ip4 *i UJ *C — i >— 1 _J -> * * * UJ a a UJ _l ♦ II H ^, * ii II ♦ * QC UJ cc ^ •« u. UJ >» •» U. -i * * o OC 1— • UJ »—i *"• it -i »-< •-< ^ » * UJ 3 V0 •• z •• z O iC •* * * * * oc a UJ «« UJ H • • Q UJ II »• a ♦ * ~ * o Q. a. I O UJ z X o _ 1 z » * a a CO h- t-, a QC UJ 1- H Q QC UJ * * CO esc CC UJ UJ ♦► o z • • _J •• ^ I •» * » « * UJ a. u. CD Jt »— • Q 31 *- i o •» • • * * QC CO *: O O z o o z * * =5 <—> •"■ o QC Q UJ or Q UJ z UJ * * a T LU •» _j X X QC * * • UJ a H- o C5 _i ►- UJ # * o Z < LL u. UJ I * * oc ♦ z UJ u *■« QC o Q z UJ * * * * # * * • * * * 0- t« UJ CO a "V *- > rsjm •*>t«t't>* , rn ruc\jcgp»j»- O -^^CgfMINfM^O -^^CMfNJfMfNJ^O O r co f\J»^ * lA-ONCO tJ« O^Nm« LA -O f-.00(>O-^fVjro«j iA^^C0CT'O--* •<^>f , >j'^'«* , »j - u"\Lnin»r\u"\ m eft intn k\ >o 'O o.o>0O^^-f-^- r» >0-0 OO^O-O-fl'O vO n0 -O -£> -0 .O -O "0^>0<0<0>0>0>0 ^5<0<0v0<0>0«0^5 UJ CO V. * • _i * * UJ < « * w > * « o •V. Q oc • • ♦ CL Oh * UJ Ui UJ • * U.Z z ec X *- z s « * V O — UJ ui On z a # * * co UJ X ss. * •■♦. * # »- co uj a * * o CC _l o K -i * * »- < cc uj o r% c •• • * a. < O UJ a. 1- • * a C- UI CO ¥- z *- co or * # UJ HWI UJ CO -I •-• s -1 o z * • # » z -J UJ » •-I * ♦ •-< -J »- < Q >» z CO • • a X < > Ml o *c V. o ♦ # a. uj a x cc co z a: » »- * # UJ CC »- UJ M o UJ X x * # t- ot u. >- •-• X »- a o * * z U, Q Z > ►- ►- CC »• C3 to * * UJ CO UJ • l-l QC < ■« u. H # » X UJ *-J X LU ►- H> «** UJ p>i V) z •^ * « UJ X 3 z CO z m co a. z ••> «r M UJ »-< * « -1 1- -Ico a 3 UJ O «• o UJ 1 -1 •• I •> * * UJ < CO o ►-« •a. v- «■> *- »- -> « * o > < ►- •-• CO »- in z a ■• Q. 2 .»» ••* co — ■»• * « UJ l-O CO > >- < -4 M _i X •-4 -i • • x "9 o CO # * X X CO «tf UJ >-i t— • a -< z o — . o «■ K * * h- 1- UJ —> —1 ••> cc co > o o a. u CO UJ O N « * ••» •-• CC o. o * cc CO 1 UJ co H • co co ••■ n # * t/> K UJ *m z QQ < ■ CC > UJ SC — « a. *: «-• * * cc UJ C0 u. ■-< X m >• < UJ Uj z UJ co a :> «■» • < -^ •-i o» ♦ # UJ > z •- t- — ( z z z •-< *VJ > UJ X a H co —i o ■i CQ * » a a 0C UJ «^ < «■» ISO CO ■» A a Zut st: H -j »- •♦• —) iC « « of r 3 Q co fV > UJ M •-« a. o cc uj _ »-4 a «m •-« • * a UJ t- a/ < UJ CC w J -1 a an » ~ n ec -» «» I u —4 •— < co •A * » UJ CC UJ CO o > < • o < < UJ -o i- -J «» -j a a£ "? ♦ # CC cc 3 UJ z a X _, — z CO _l O ^, Of n H — * * UJ CO z «-l co u. ««» ~ » •-« u CO •-■ UJ < « CD CO X * ••» u. CO * * •* CC Ol/lM CO o * _( U. CO * • Z <_>>. S£ X *- ■v CO i— t ►i ^ * * a. Z3 Z <-• X CO -J «•» •» J£ M O «« o sc • • * * «»• a < t- ►-« a < »- >- ►- M Ml ■> •• •-< # * UJ •jj z UI > 3 •— i a o -> cj Q z M a * * CC u cc O Z a X ec a • CO CQ •> CO 1- w o Z UJ a z * * 3 o < IUm aj t— • UJ *- CO • co a. a UJ X i—i a UJ * * a cc »- > > u. »- 2 (/) D. 3 * o -* V CO %~ •• ••> * ♦ UJ Ol co Q •• a Z » *-< co a •— * a •_ • • a. * # u X Q r a •-. a -J a ■» II H X u Q • • * * a CO UJ UJ UJ UJ a uj x *•* II U» o o z Z * * CC +~* X tx K cc UJ UJ x CD of t- _ CO a. >-> a: o »_ UJ Z • » * » a T »- < tr r »- * < 2 * • • X Of * * h- >• cc o < H _i a -. »- => UJ * * X CC UJ z _j UJ UJ L) cc a »- CO * * ai-2 •-• u > or X UJ X o z u. UJ *: # * * Of Z UJ LU UJ CO < h a k a UJ «-• a u * # • • >* U.UJO CO a # * z o * * o z * * UJ UJ * * > o X UJ cc o o o <-4 «-« «M «M rv *■ <* * >t >J- >«■ -* >*■ <* -t >f ^ >»■ *• >*■ <*> '*■ u> sO f>- CO 0> O ~t <\J m >t to >o ^- CO cr O — i pvi m >f lA *o r- CO h> r- h- i-. r- CO CO CO CO cc CO CO co CO CO CT> O* a> o> o» o» o o e> vO o «o J3 -0 0 >n vO sO vO o >0 >o T fr- to • cc < V) Q _J O z < o •• * * * * • » * * » * * # • « # « * * * * • * * * • * * • * * * * * * # * # * « * * UJ X • fr- Q UJ X Z O •-■ cc < LL fr- CO is a u. a a «/> t- i- •* • » * * o z < fr- < a 3 UJ z o fr- o o 1 XT AVAILABLE aEMENT */ 1 NEXTFG POINTER */ 1 ECK ENDING CONDITION */ 1 * * * * * * * » * ♦ * « * * * * * • * * * * * * * * » * * ♦ * * » « m» LL * * * • z z LU LU ft-« •» •• LU X zo. u * * * * ^^ • ft »ft * * z z LU ^ •» 3 * * Q. •• «/> * * UJ LU ua a O + * •ft. "» » ♦ -1 -1 ^» • * a. O, _l » * COO o eco ♦ * «< cc ae * * H- UJ -J -J LUZ * ♦ u. a: cc » »- fr- * * X X •» LU z •• fr- •• fr- ••> # * • ►_ fr- o et, a. * « • *» UJ L_ cc ► CL z *—• ♦ * o a. 0L X LL CO * * z •» ace fr- ft-* o Q ■^ * * 03 ll UJ • • • * cc o in Zfr- o- O >v LU -^ » * N • • ae o o * ♦ UJ LU K -j Q. O Q- ll Lft # # O o * * O X ** fr- o ta ft* — < ♦ * cc u. H H * * CC t- fr- > LO z LL » fr_ .. O -< ft« * * fr- a H u * * o ill cc ■-a z o LU LL — LL * ♦ or of # * UJ 00 *s> < -j # — z to— fr- a » » * o Z ^ z ftft o »- i- ♦ * at fr- z # O CC O to ft- - fr- fr- * * UJ LU LU _i — «« — (0 a. fr- ee CC cc * » 3 o • fr- 3 < LL LL I • * * a o_ a: Ql cc z _. z fr- fr- ►- * * a CC fr- X II a. u fr- • II H- to * * u. H- L- - LU ee CL ev • » * * UJ Q. CO UJ •• X o fr- * * * * CC Q- ce a 3 CC O t? fr- * * u *+ z o •• LU O UJ ill z fr- 03 »— LL fr- •* fr- «/l LL — 1 LU z * * a to _l LL a z n u. LJ o •• * * * * CL • Q. • LU z »-^ CO o * * cc >— i LU fr- o z fr- < • H u. • It CD • CO or z LU I n n O LU > * * * » a I Q t- UJ < X LU o LU II CT X U. LU OH fr- *■" z cc •ft * * * » O- 19 O _J 3 fr- CL O. »- o z * * * » to 3 .j u Z fr-fr z X X oo 3 fr- o fr- * ♦ ♦ # ll LL LL • • to Of ►- a ft- ft-t o a •v. ft— ft— o or o z UJ * * * • * » * * * * * * O fr- LU a ^ 3 Q *-* "Z.-Z. — ft- cc fr- z UJ * « to a. •v >«. o o O o o O O O o o o O o -^ — ■ — < -ft o o o o o O «t * •* ^ «*■ <* *» .» »*• •* m * ^ >f «*• -t ^- -t^ >t >* *■ ^ c* o — • r\i f> -* LA »A fr- en o o — 1 rsi ro >t j Nm o o -4 (M O" o o O o o o o o o o — < — t -4 — ■ ftH ^. — ' — 1 — 1 (Nl INI (M ■O N h- r*. r» r- r- fr- r- ►» r- r* ^- h- h- f- r- fr- ^ r- r- fr- fr- 83 * >. # * •v ►- to » *v • z^ x> ^x • * * * i « * a * ♦ * * * o to •-1 * * * « • a. »"4 > # * * * »- a LU at « * ♦ * to LU a ae ae UJ * ♦ * * LU < z ►- UJ a. K "V • * # # X -J of ►- Z * * * t • * fc- 3 OCl- z K •-* • * CC # * O 1- LUZ •-4 LU a * * CC V- * # » o z LU (- LU o to a ae * • a a. » * a? t» < zx 0. UJ * * •• LU O »v • # < »-« UJ a »- # * CD * * * > M »- O o_i a • ae Z » * ae -• V - * * |» Z ai a. uj ae "V < »-t * • LU w-t a3 a * * *-» Z LU < » a ♦ * a tm* • * ♦ X LU X LU *o X ae 0. * * ae • a ♦ # < X LU S3 •• o ae ••» o # » a ^ t- LU ♦ * X LU -1 < LU o LU o » • LU m* to # # _l _J LU O « 03 LU LU h- LU * * ae lu a -1 * # z LU K a Of to ►- y- # * LU LU •• # * — »- •• m »-LU t- ae «/) to * * *» »- h- —» * * 1— O U1 — * to to >— ■ < < * # «» z z »•> —• * # l-H ae to _» v OCK < LU _l _) • * ~4 LU m CD -4 • » 03 ••» U. —« •-4 to LU »-• to _l >. * * ** > o • •» »-» * * a LU -1 •* LU< * u a • • * * »- LU Q- — i f» * * o tft CC ^ AJ _l LU Z3 » * M • -^ * * * z tf« LU »- UL LU > »- ae — « t- * « to LU — LA —• * # •-4 (A a in x X ae m LULU 3 C3 LU tO # * «• Z> LU LL •4 LU * # ae •Hi (X •-4 »- h- < H- < ae * » to ae — a «» 1 * # i— -1 O -1 z •■* a, »- *- a •— i * » z U- US > «« * # to < LU o LU *- O LU _i«o X LU * * CC z ae — . * * X 1- 1-4 tk * * LU LU O >- ZHZ LU _i to ae >.LS * * ae _J dJ ao ^ * * Z o z tO a: z LU X ^» < ••» 1- LU * * to < Oi — » * * o •-4 < r> »—l r »■* Cv —1 * a. h- ♦ * am t- > a LU ♦ « •-• a > _J ►- a LU LU — f» o >» UL X * ♦ ae to ae < LU * * -J LU cf • LU a _J ^ H LU • UJ » # t- LU LU X ui * * < X < »- Of LU M to lO •- o z * * 0. K »- z •— i * * • » >— < > «/> K H cc lO • ♦ o z 1— < LU •— • * * CC — " LU a LU l/> 1— t- •-« < • €» z z * * » LU 1-4 ae # * LU * •^ i— ae QC tO < Z> LU -I LU LU * # -* oe to •^ t- • « a ** »*■» (A LU D (-4 < _! a. ■» o X X * # M Z> LU H- ae 0. * * oe t~ 3 •— a LL _i * • H *- • • u- • * m» O T _l ►— O * * o •-4 z ar LU LU ►- z o n * # LU LU »- r> Cw ~- * * LU 03 »-4 < a. U LU CO LU z *-^ o »- a * # ae o to O »- ♦ * ae th X Z> a * X oe X CC f- -» M to * # 3 o z LU t r* z * * ae -o u O ae »— I— •-« h- r> to i— r » LU Q. CO LU »- ae to -j * ♦ LU a. UJ *< • * * ae o X 03 o »-4 o LU LU «-t < o tfl •• * * u z z z •— o •• * * > u ■ X #• a CO _J t— U a LU -J LU it LL * * a to C o ae M # * a 1-4 3 a oe M LU < • -v ~» »- t- o « * ae ►^ «-< 1—4 3 LU M X * * O LU w Z »-< a. T D to cf cx •» ae ae to o X z • ♦ Q. r to oo K ae z -J * « *"•* or ^r t— UJ t- < K »- »- < LU LU ae » * t- Z3 =5 LU < ar a * * o < to •• to z _] v» a. 0. -J »- z r» * * —I _J ae -J 3 u * « o _J • •> o r> 1— 1 O an LU to .. i- * * O u u K z * » ae u o »- z # z o LU LU • • LU < LU Z LU « * ♦ z z to LU LU •— • * * Q. OJ II 3 5 «v Z5 a. a ^4 o o »— _J ^* Cf ae » » "v •-■ *-* t— t a ae LU ♦ * a X a Z) * * • t * * • • ►- H- Q • * X Q * * ae LU LU Z * * _l Z # # LU ee ae LU * * * « a o z •— • UJ LU * # # * # > O u oe Cv Z o o o O o O o o o O o o O o o o o o > LU ro >* «f «**• >*• ^ *■«* «»- «*• (t\ «* »*• * ro >t * ^»- m >»■ in -0 p- oo o> o m* ru (*> * LA o r- eo 0> o x M M INJ «\j INI CM «M r^i m ro »*> fO fO fA rA ro m ^i- f- f- h- h- r» ^ h- h- r- ^ ^- r» h- h- r- r>- r- r- 8k Ui co o ro * o »» * —4 U. » •• u* » * > _J — . « • h- O «NJ ^ * X o •* «M # UJ m *^ X ** * z 0m •n « X » -J ^ ^^ • ♦ » ♦ o a. -1 ro »» — . * 1- co a. — •» »r0 * o t>4 CO LL ^ ** •-* * o > M » — _itu UI CL * * z O > fM Z CO • » 111 •« O O — ■ »4 1-1 *~ • •• X • « « «» X o X _| -o * «■» K- M « N — * •» •« UJ t- • — >o # lf> -» — <*■ — o z o — » K O ^ * •-4 *» » ** •-4 *-» — "> — z _l ■"• u. LU LU O * (!) w —+ •» — -> LU •• a. _i » zo * _l > or wffio Ct — X «■» co O. — • Q- • — • • * • » Z UJ < e£ X as .» < oc »- < K4 CO Pvl M •"«« *~ ♦ •• "■* • -J X < 3- Z X < • » «^ •Mi ►-t —» Si -l-» "•• * ** 1ft «- Z i_ LU <_) X 03 o ^ > *M X CO 0- _J ro * eo ^H »-4 » ^. o QC — a •» cr LU »» a o. « to o_ •^ ♦ • ** w -4 at -M — * « < <* «* O • z - O UJ — . h> HIA LU * o z a ► (- eC — O Q- 1- QC v ~^ A •— t r Q ro z> *--> ■b » • -^ > CO CO r- z K CO »- II _l •* 3 Z ** a. > — " * *"» co CO Z Ui co co • •-• a3 co «^ m ^* ^ 3 Z M u. Q > ■* II co co II CO a3 a — »-4 a z fr* X 3K « * o X • O a. CD II — O CO II x z _l LU LU ■> a b. ZO •~ * z >"■• It a X o z U 1— 3: Q3 X e> 2 03 3 ■-• LU •^ X — ■ LU — r- r<^ ♦ Q ■* LU — » to 3 IT - LU 3 X Z » z I a c- * • » O t- » ** * LU ** •• et - •-< ar I'- Q •^ !-!-• LU * Z »- •^ •• a a ** ^- 3 z — z oj Z — zo -J o * • o ll 3 Z Q _J * * •» o 1-4 ** QC •• • 1/) CO z M» 1-4 X z w s— 1 z II z CO It II 3T Q. LU A uja ^* ♦ CC ** z CO H- *" -4 03 II LU UI II r- LU LU ct »-H LU LU LU s co (N * LU -J *-t 1- a. — LU •• z 3 it T CO LU Q X CO LU »— Si z _J 1- z — ►_.-. *" ♦ a < O- CJ — > CO LU X •• to Z »— _l z z o •« 1 1 Z co X M 3 t— f LU UI 3~ X # CL *^ o X k- z ►- X •• II <-> IUmw ii — i LU »-4 *■* u _J LL. a —1 «-< ZO.O. » * a "~ z X Q. K UJ > O cl O -J a 1 0> -J a: •-H •— • UJ ^ * LU "■ * UJ *^ o •-• • » C? -J Z Z r- A II .. z a a II t- a • • _i Za rO * cc CO —1 o O -i X CO X -5 O. M (O *— • UJ o •— « z -? LU CO h- z • • • » — UJ Z ^^ # t— ** K o- a ll r rot Z Z •— i Z CO LU > Q X li-i U. » LU CL V- o O K »— u_ LL *-4 •— 1 u. II LU i-i 3 O o< »- Z •- 1- * CC CT ^H h- 4> H C? h- X •-4 O co >— •-H -J Si »— 1 -3 — -J COO a z u. a. LU * CC o s— « o a a « Z -i a LU •-< •— > o * * a. *• w II o ,. II u -1 UJ II Q u # •• -J -J 1- — i a: * LU o oa II a 3 a * -J Q Qk -5 Q Q * a. O * i— » Z >>. cr LU I- * «* «»• xf .t ^sf ^J'xf *■ «t >*•»*•>*■ «* —* Psl rn >l" IT J) h. tD O- o _. CJ m ^ m «o P- ao o* O -4 (M ro ^ LP> vO P- CO o o •-4 P0 m ^ ir\ >a p- CO o -4 ^ ^ ^ ^ <}• -* iti 10 ir> m lT< LT\ kO LC ir -o o -o -o ~o p- p- f~- r~ r^ f*- p- p- p- as (1) I'NSf- p- p- r» P- r- p- p- r- r- r- p- P- p- p* r~ p- p- p- f» P- r» r- r- r- p- p- p» p- r- r- p» r- P~ r*- r~ P» 85 # >» # >» * * * * * "V « * * * 00 ^ * « * « 1 # * * » * —t • r 2" K # * # « » „ LU UJ Z # ♦ ,-, * •» »- X UJ v» * * J * _ UJ IS> LU X. X * * * • « mt «/> > -J * UJ ♦ * *c • V. CO < U0 UJ _i CO •v # ♦ » * — CD h- UJ h- ♦ « # IU # # z V K >» UJ Z 2 * * ■ # • — «r # > * D UJ LU LU • * ♦ * * co uj X UJ X 3 X * ♦ # • * Y» • • ^3 UJ LU UJ a * • _J • • O Z ac 2" *■ o_i 3 _J •»k * » • « * UJ *•* UJ < a UJ or UJ _i # ^ ^ » * J^ • » x a t- z CO * * • * » • *-* a. z U. _j a uj UJ UJ ^ t * ♦ 111 » • » * u. >— 1 M CO •-3 Huj LU 3 UJ UJ UJ * Z • t CO # * * «J * • mm -» a. O -j •-< =3 U. 3 BC X LU 8 X. 1- # » # • -» 00 < a H- O O UL X * — * ♦ ^ •♦ * # • » Q. <*> .» v. t— _J CL a ►- CO LU -j 2 # * ^ M # * BC — •• -~ * > LL H- < z CO UJ CO _l co • 3 # * • • •— 1 # * UJ O O X U Z 0. < X M > UJ ^ * * Ol — » # » QOJ- —» • H O tem -J t- X at LU LU # # x + Q » « aWQhh LU LU O > »- h- < LU LU UJ »- » * o ••> H * * < _J ►-• Z X X»-« UJ _J O 3 a. X V * # u m aa □ * * UJ CO UJ CD UJ h» * x»- X -J LL z uj u. LU co * * »- # » at -+ — 1 * U) 3a: h- < O 3 3 -1 1 » ♦ o o 1 * * _l u. < ll >v X. < o< a O CO UJ * # * •d »- ■ * * -» CO » < > a >v * »- a. a X UJ CO •H ♦ * o ii (/) # * — _J 1—4 * •♦ UJ V- >J LU X LU z # * M H h- ♦ * -• * U. LL 3 2 co t UJ Xuj 3 ►-• LU LU 1- 3 ix # * j n _i a. * * m ~ — 1- O • • CO X t- X CO 3 *s. CO X UJ *-• H -^ »— H- h- a: * K u. u. 3 ae * * o »-« c? ,. x * * z — •> x t- > •> Oi ►- z X UJ a O LU * # ••» X • » 2: ♦ » Mt-- 3 < O 11 O O < O »-^ t~ LU X a 1- Jt * * m Q O O O z •> * * (ShJ » a u ■"» 3 H- h- a O h- »- CO LU LU CO * # * Z Q I- Z LU * # z — «-» z a UJ -4 CD a a. CO IX IS) LU Z # * — —J n — «■ * » q ►-. a _j _j I •> O 10 1- to 3 ll a CO t-t IX cc < ♦ * aiiZh u. • • 1— # * UJ Ul — UJ h- «*■ ►" K ZK »- 3 h- u. cO LL * # Z UJ a # * X >i Wl a a: □ » 2 IX Z !8 a »- Z Z * # u. I z •» i_ * * _ w < UJ < \- •» a »— 1 O « a X Q •— • LU a H- at ' # * o •-• K- tu a 11 * * U. CO 00 1- 0* t- O O- O -j < UJ c O X a X 3 * * H 2 # * ** •> < _i «. OO »- ■v. >- * * j •• ai * # 3 Z ~ fM 2 O >_■ UJ ►-. 3: — -x. Q Z < * « * Q O •• * « »— •-• z rO < a □ l-H 000 z □ * •p co to "V * * O z z UJ * ♦ UJ O ►" — Q. LL a 2 Q z «v — h- •• _J »- ■» -J » * o UJ »■* •• _J * # a. a. CD \- _i _i 2 * \~ 2 — •• 2 • • -^ # * Q 0. * * 1— » _J *-• JS » 2 X- * co ►-< ro Q. * •— » — » fVJ ►- • • # ♦ z •— ( « * O — c co * -r a OMU X. .. <: O •ml CJCx a O «— 2 n * * UJ ac # * O Q. UJ •V O 3 k- z X — . _i O- U a. a. II *-4 * * * ►- » * ce. - x _ 2 O (/-> 1— •• t— 1 11 O 1 r O M • * » » * • Ov «J ** O Z cQ -J •» -*. * + — r — 1 _J ot •• _i _i -J CL O UJ # # O • * • u. ■J- •• » n — O en — « e _j -J — co -J xl cv * « Z « « 1- .. — >v It 00 * -4 <. m *"» O _i V n ^v — _l m* »w> LL LiJ «s K — x. LU •^ •— " u * * • # uj < m w Q U. C Q >— ■ _J ♦ U.O -J * «^ LU * * * * ot _j — Q a: .. < -I »- -J _J LL »— 1 X _J •— * Za: * » — _J a .0 • » _j • •> UJ > UJ LU II X • • H4 UJ «• X I— ■ • » ot LL # # * O UJ _4 O LL — X »—i *— h- I •• •» LU *-• O 3 O •• .. 3 * * >* UJ _J -J *-* < II LL >- u. u. LL LL CO LL II QO lO LL LL u U. O Q >- O * # oc -1 LL 11 _J II > 11 II LL II II < a II 2 Z —1 II 11 II z z UJ 2 » ♦ U_ O < 2 a cc _l r _i _l •-> _l _l _J a _J mOILU UJ _l _J •— I _i uj uj nr LU *v * > UJ X »- to m «* in m u*> I*"* — 1 -* o eo«o 000000000*0 o* OO oOOOOOO-^-H^xl(MO> 0>0>t>0>'0 N OOOOOOOOOO <0 —> — 1— ir\j a z z _ UJ u. ►- o O z > hi —t UJ _J k- o — J a: (M r»i ►- CO 00 •/> BIBLIOGRAPHIC DATA SHEET 4. Title and Subtitle 1. Report No. uiucDCS-R-75-731 AQVAL/l (AQ7) User's Guide and Program Description 7. Author(s) James Larson and R. S. Michalski 3. Recipient's Accession No. 5. Report Date June 1975 9. Performing Organization Name and Address Department of Computer Science University of Illinois at Urbana-Champaign Urbana, Illinois 6l8oi 12. Sponsoring Organization Name and Address National Science Foundation Washington, D.C. 8. Performing Organization Rept. No. 10. Project/Task/Work Unit No. 11. Contract /Grant No. NSF DCR 74-03511+ 13. Type of Report & Period Covered 14. 15. Supplementary Notes AQVAL/l (AQ7) is a PL/l program which synthesizes quasi-optimal formulas of the variable-valued logic system VL X . By 'qua si -optimal formulas' we mean here disjunctive simple VLi formulas, which are optimal or sub-optimal with regard to a user- specified optimality functional. The basic application of the program is in the area of machine learning and inductive inference ('inductive learning'): from descriptions of objects with known class membership, the program infers optimal or sub-optimal descriptions of object classes. These descriptions are expressed as VLq formulas and represent certain generalizations of inputted information. The program can also be used (at the appropriate setting of its parameters) for an efficient minimization of binary- or multi-valued switching functions with a large number of variables (e.g., 50-100 variables) . 17. Key Words and Document Analysis. 17o. Descriptors 17b. Identifiers/Open-Ended Terms 17c. COSATI Field/Group 18. Availability Statement FORM N TIS-35 ( 10-70) 19. Security Class (This Report) UNCLASSIFIED 20. Security Class (This Page UNCLASSIFIED 21. No. of Pages 22. Price USCOMM-DC 40329-P7 1 -\ CO o