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+;; Create network nodes
+(defun create-network (n)
+ "Build a quick-find network using a dynamic vector"
+ (let ((nodes (make-array n :fill-pointer 0)))
+ (dotimes (id n)
+ (vector-push id nodes))
+ nodes))
+
+;; Check if two nodes are connected
+(defmacro connected (network n1 n2)
+ " Return t if there is a path between n1 and n2, nil otherwise. connected represent the find operation of the Quick Find Algorithm"
+ `(= (elt ,network ,n1) (elt ,network ,n2)))
+
+;; Link two nodes in the network
+(defun union_ (network n1 n2)
+ "Link two nodes in the quick-find network. union_ represent the union operation of the Quick Find Algorithm"
+ (let ((v-n1 (elt network n1))
+ (v-n2 (elt network n2))
+ (new-network (copy-seq network)))
+ (dotimes (n (length new-network))
+ (if (= (elt new-network n) v-n2) (setf (elt new-network n) v-n1)))
+ new-network))
+
+;; Union consing version
+(defmacro nunion_ (network n1 n2)
+ "A cosing version of union_"
+ `(setq ,network (union_ ,network ,n1 ,n2)))
+
+
+