EI?l      !"#$%&'()*+,-./0123456789:;<=>?@A B C D E F G H I J K L M N O P Q R S T U V W X Y Z [ \ ] ^ _`abcdefghijkSafe%,-CFNQSTV]dh>Safe%,-CFNQSTV]dh ?Type that can tell you about aggregate state of your structure.Segment of values in memory Segment of values somewhere elseSafe%,-CFNQSTV]dh h"Structure with scattered segments.  Safe%,-CFNQSTV]dh. 'Put in-memory values to somewhere else. &Pull back segment of values to memory. LDo nothing with in-memory part, pull back all values of structure to memory. MKeep only a certain number of elements in memory, do something with the rest.HTraverse over scattered structure, including with all restored segments. (C) 2018 Murat Kasimov BSD-style (see the file LICENSE)%Murat Kasimov <iokasimov.m@gmail.com> experimental non-portableSafe%,-CFNQSTV]dh   Safe%,-CFNQSTV]dhDirected acyclic graph.#Remove vertex and all of its edges.  Safe%,-CFNQSTV]dhUOr non-empty list. ! !Safe%,-CFNQSTV]dh"Infinite sequence."#"#Safe%,-CFNQSTV]dh% No children& Left child' Right child(Both*Get x from  Branches x y or from Less x.+Get y from  Branches x y or from  Greater y.."The way to the most remote branch./Balance factor for root node. $(%&')*+,-./ )$%&'(*+,-./$%&'(Safe%,-CFNQSTV]dh9#Simple left (AVL), left zig (Splay):%Simple right (AVL), right zig (Splay);)Double right (AVL), right zig-zag (Splay)<'Double left (AVL), left zig-zag (Splay)=Left zig-zig (Splay)>Right zig-zig (Splay)8:9;<=>?89:;<=>?89:;<=>Safe%,-CFNQSTV]dh!@(Trying rebalance tree after each insert.@@ Safe%,-CFNQSTV]dh#ASplay tree after each insert.B3If needed element not in the root - it isn't found.ABBA Safe%,-CFNQSTV]dh(lPrefix tree haven't nodesm#Key and current key of root matchedn Keys matched and this is the endHYou can insert value with path + 1 symbol of existing path in tree.IUnlike insertN, you can specify longest path, but a gap will be filled Monoid's empty valuesCDEFGHIECDFGHICD Safe%,-CFNQSTV]dh)NOPNOP Safe%,-CFNQSTV]dh*kQRSTUVQRSTUVRSTUV Safe%,-CFNQSTV]dh+hWXYZ\][^WXYZ[\]^XYZ[\]^Safe%,-CFNQSTV]dh90_Our blockchain type is distributed - we really don't want to keep all chain in memory, instead, we'll store balance table of all accounts in some database.`=Block is just a bunch of transactions, no pointers/keys here.a2Simplified transaction type, no certificates/keys.fjLet's suppose that genesis is a regular transaction, but proceeded from magic account 0 to real accounts. a 0 1000 1 o pg)First real block, 1 sends 50 tokens to 4. a 1 50 4 o phWe're facing with increasing chain in memory, so, let's calculate UTXO for each account and put this information somewhere else.  $ g o  ...iVerifying block is just a calculation UTXO for each account that trying to send money, so, we already have balance table and current block, the task becomes simple - just match transactions and balances. _`abcedfghi abcde`_fghiabcdeSafe%,-CFNQSTV]dh>jIn this usage example we'll try to implement LRU cache. This policy discards the least recently used items first, so we need to add priority for the most recently used elements. Very resembles behavoir of Splay trees, actually.k@Insert sortable value to cache, aftear that, value moved to rootjkjkq !"#$%&'()*+,-./01234567896:;<01=>?@ABCDEFGHIJKLMN1 1 O P Q R 0 S 1 T U V W X Y 0 Z [ \ ] ^ _ ` a b ] ^ c _ ` defgghijklmnop q r stuvwxyz"apart-0.1.1-HwECn6P5t0IEuAkuQ9G0ncData.Apart.Machinery.Moore Data.ApartData.Apart.Structures.GraphData.Apart.Structures.StackData.Apart.Structures.Stream!Data.Apart.Structures.Tree.Binary*Data.Apart.Structures.Tree.Binary.Rotation%Data.Apart.Structures.Tree.Binary.AVL'Data.Apart.Structures.Tree.Binary.Splay!Data.Apart.Structures.Tree.PrefixData.Apart.Structures.Tree.RoseData.Apart.Structures.Tree.T23Data.Apart.Structures.Tree.T234Data.Apart.Usage.BlockchainData.Apart.Usage.LRUData.Apart.ShapeData.Apart.ApartData.Apart.CombinatorsMooredumbShapeReady Converted ScatteredSegmentApartpart MaterializerRestorerrecoverlimit throughoutinmemoryEdgeEmptySingleConnectOverlayGraphisolatedstarremove$fTraversableEdge$fFoldableEdge $fFunctorEdge $fShowEdgeStack singletoninsertfoldawayfinalStreamsameBranchesEndLessGreaterBinarylsgtheightfactor$fTraversableBranches$fFoldableBranches$fFunctorBranches$fBindBranches $fAltBranches$fApplyBranches$fSemigroupBranches$fShowBranchesRotateLRLRRLLLRRrttsearchLabeledHopPrefixseekcrumbs$fTraversableLabeled$fFoldableLabeled$fFunctorLabeled $fShowLabeledRose constructT23N23L2L3B2B3T234N234L4B4 BlockchainBlock Transactionfromamounttogenesisblock mainchainverifyLRUcachedeadendprogressexactlyfree-5-BGKmmEPB9jgKzZsB6dhqhmControl.Comonad.Cofree:<baseGHC.BaseNothing