diff --git a/graph-lib/graph/_experiment_queues_without_list.rkt b/graph-lib/graph/_experiment_queues_without_list.rkt
deleted file mode 100644
index d0931f9..0000000
--- a/graph-lib/graph/_experiment_queues_without_list.rkt
+++ /dev/null
@@ -1,18 +0,0 @@
-#lang typed/racket
-
-#|
-(let ([res-zero '()]
-      [res-one '()]
-      [res-two '()]
-|#
-
-(define (process-zero v res-zero)
-  (cons v res-zero))
-
-(define (enqueue [v : Integer])
-  (let ([name : (U 'zero 'one 'two) (cond [(= (modulo v 3) 0) 'zero]
-                                          [(= (modulo v 3) 1) 'one]
-                                          [else 'two])])
-    (cond [(eq? name 'zero) ]
-          [(eq? name 'one) ]
-          [(eq? name 'two) ])))
\ No newline at end of file
diff --git a/graph-lib/lib/low/logn-id.rkt b/graph-lib/lib/low/logn-id.rkt
new file mode 100644
index 0000000..42fab0b
--- /dev/null
+++ b/graph-lib/lib/low/logn-id.rkt
@@ -0,0 +1,65 @@
+#lang typed/racket
+
+(require (for-syntax syntax/parse
+                     racket/syntax
+                     racket/function
+                     racket/match
+                     syntax/stx))
+
+(begin-for-syntax
+  (define (insert make-node v ts)
+    (match ts
+      [`() `((,v))]
+      [`(() . ,b) `((,v) . ,b)]
+      [`((,a) . ,b) `(() . ,(insert make-node (make-node v a) b))]))
+  
+  (define (merge-trees make-node ts)
+    (match ts
+      [`{[,a]} a]
+      [`{[,a] [] . ,rest} (merge-trees make-node `{[,a] . ,rest})]
+      [`{[] . ,rest} (merge-trees make-node rest)]
+      [`{[,a] [,b] . ,rest} (merge-trees make-node
+                                         `{[,(make-node a b)] . ,rest})]))
+  
+  (define (make-binary-tree l make-node make-leaf)
+    (merge-trees make-node
+                 (foldl (curry insert make-node)
+                        '()
+                        (map make-leaf l)))))
+
+(define-syntax (define-logn-ids stx)
+  (syntax-parse stx
+    [(_ matcher:id [id:id ty:id] ...)
+     (define/with-syntax (tmp ...) (generate-temporaries #'(id ...)))
+     (define bt
+       (make-binary-tree (syntax->list #'([ty id . tmp] ...))
+                         (λ (x y) `(node ,(generate-temporary) ,x ,y))
+                         (λ (x) `(leaf ,(stx-car x)
+                                       ,(generate-temporary (stx-car x))
+                                       ,(stx-car (stx-cdr x))
+                                       ,(stx-cdr (stx-cdr x))))))
+     (define (make-structs bt parent)
+       (match bt
+         [`(node ,s ,a ,b) #`(begin (struct #,s #,@parent ())
+                                    #,(make-structs a (list s))
+                                    #,(make-structs b (list s)))]
+         [`(leaf ,t ,s ,a ,_) #`(begin (struct #,s #,@parent () #:type-name #,t)
+                                       (define #,a (#,s)))]))
+     (define (make-btd bt)
+       (match bt
+         [`(node ,s ,(and a `(,_ ,sa . ,_)) ,b)
+          #`(if ((make-predicate #,sa) v-cache)
+                #,(make-btd a)
+                #,(make-btd b))]
+         [`(leaf ,s ,a ,t ,tmp)
+          tmp]))
+     #`(begin #,(make-structs bt #'())
+              (define-syntax (matcher stx)
+                (syntax-parse stx
+                  [(_ v:expr [(~literal id) tmp] ...)
+                   #'(let ([v-cache v])
+                       #,(make-btd bt))])))]))
+
+(define-logn-ids match-x [a A] [b B] [c C] [d D] [e E])
+
+(match-x b [a 1] [b 2] [c 3] [d 4] [e 5])
\ No newline at end of file